diff --git "a/data/dm_maths/full_data_1/2332_11255.jsonl" "b/data/dm_maths/full_data_1/2332_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2332_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 4*x + 3*i = 107, -2*x - 3 + 59 = 4*i. What is the common denominator of 37\/5 and x\/39*198\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2052 and 121\/228.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 294479291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6*r = 12. Let w = -7 - -2. Let z = w - r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 5, 8, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2499, -671, 2365, 6603, 12037?\n\"Answer: -b**3 + 610*b**2 + 5*b - 3113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*h = -r + 446004, 5*h = -2*r - 445990. What is r rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*y**3 - 560\/3*y**2 + 0 + 39200\/3*y.\nAnswer: 2*y*(y - 140)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -12*c**3 + 2185*c**2 - 188*c + 1281. Calculate b(182).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265 + -263.67. Let y = h + -4.05. Let q = y - -2.847. What is q rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 326132288745 and 5.\nAnswer: 326132288750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 257*v - 89. Let r be i(86). Let u = 12 - 7. Sort 1, r, -2, u in decreasing order.\nAnswer: u, 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 + 604 = 26*u - 235. Calculate the remainder when 542 is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 = 10. Suppose 4*c = -h*c + 60. What is the lowest common multiple of c and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274387*a + 141*a**2 + 137190*a + 137197*a.\nAnswer: 141*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/5 + 26*q**2\/5 + 68*q\/5 - 112 = 0.\nAnswer: -5, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.01, 2, 1.5, -70, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-2)\/8*(-8)\/130.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008532235505 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 1 + 11. Let q(j) be the third derivative of 0*j**5 + 0*j**3 + 1\/60*j**6 + 0*j - 1\/12*j**4 + j**f + 0. What is the second derivative of q(u) wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 444051586.000146 + -444051040. Let p = o - 546. Round p to six dps.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (8 + -4 + (19 - 39))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-48)*o*o*o**(-14)*o*o assuming o is positive.\nAnswer: o**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*u - 303*u + 850*u - 307*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 19*m + 102. Let j be n(9). Let y(t) = -t + 10. Let a be y(5). Suppose -u = c - j, -8*u = c - a*u - 22. Solve 4*q = c*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 11, 25, 57, 113, 199?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**4 + 0*j**2)*(1 + 0 + 0) + 20*j**4 + 74*j**4 + 23*j**4 + 0*j**4 - j**4 - j**4.\nAnswer: 114*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = 5*o - 35, 2*o + 32 = -3*g. Let l = -5 - g. Solve 0*z - z = -l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*k - 37*k - 11 - 64*k + 2*k**2 - 7*k to the form x + o*k**2 + f*k and give f.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 120 = 4*z, -5*z + 5*r = 7*r + 148. Let n be z\/45 - (-28)\/126. What is the third biggest value in -2\/11, -2\/7, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000758511 to five decimal places.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 (base 7) in base 4?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 3*r)*(0*r + 11*r**4 + 0*r) + (r**4 - 2*r**4 + 3*r**4)*(r - r - 2*r) - r**4 + r**4 + 2*r**5 + 5*r**5 - 3*r**5 - 3*r**5.\nAnswer: -25*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7408*b + 36 = -7339*b - 1896. Let s = -68 - -135. Calculate the remainder when s is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -14 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 12:40 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 200 = 104 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43534 greater than 43534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 2378?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2131105242?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 315, 633, 955, 1281?\n\"Answer: 2*n**2 + 312*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8*(-114)\/(-9))\/((-20)\/60). Let j = 494 - c. Calculate the remainder when j is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4438735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and -267423080.86.\nAnswer: -267423093.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1610 and -0.058?\nAnswer: 1610.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**3 + 4*y**2 - 8*y + 5. Let g be h(1). What are the prime factors of 12 + -15 - (g + -1390)?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -3\/5, -12, -0.499, -76?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-24) - (-2 - (-43617)\/(-4))) + -2?\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -16, -4*i = 4*z - 5*z - 360. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496 and 3007?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Let x(c) be the third derivative of -1701*c**4\/8 + 4252*c**2. Give x(s(k)).\nAnswer: 10206*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132 - 23200002120?\nAnswer: -23200000322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*w = w - 6, -2*w + 12 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9565.192 days to nanoseconds.\nAnswer: 826432588800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:13 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 1\/5*q**5 + 20*q**2 + 0*q + 1\/120*q**6 + 32\/3*q**3 + 2*q**4 + 0. Factor x(g).\nAnswer: (g + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/19 (b) 7 (c) 2\/7 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 0*q**2 + 3*q**2. Let r be (-19)\/(-2 + 6\/4). Let f(g) = r + 5*g - 38. What is h(f(c))?\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (1 - (1 + 0)). Let q(h) = -9*h - 2. Suppose 2 + 16 = 2*y. Calculate the remainder when q(t) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519792 a multiple of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 82?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2716*i**2. Let r(y) = -18*y + 84. Let u(o) = -8*o + 36. Let k(x) = -3*r(x) + 7*u(x). What is c(k(d))?\nAnswer: 10864*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -48, -83, -138, -219?\n\"Answer: -o**3 - o**2 - 11*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*c + 14 = 0, 0*c + 2*c = 3*q. Suppose -4*r - w + 7 + 1 = 0, 0 = q*r + 3*w - 4. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j**2 + 238*j - 82. Determine s(-15).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 277 = 3*g, -3*g - o + 279 = -4*o. What is the smallest common multiple of 1 and g?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 76.7. Let k = z - -1.7. Let n be (-11)\/(-15) - 2\/5. Which is the smallest value? (a) n (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0 (b) 3\/4 (c) 0.1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/188 and 9\/542?\nAnswer: 50948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 16. Let c(t) = 7 + 0 + 7*t - 17 + 2 + 4*t**2. Is c(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 19*k - 157. Let m be u(9). Suppose m*g = g - 65. Let w be 4\/(-14) + (-88)\/(-14). Sort g, -4, w in decreasing order.\nAnswer: w, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -7 + 2 + -7 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r - 68*r + 17*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + 3. Let k(j) = 5*j - 7. Suppose 3906 = -28*x + 3766. What is x*f(m) - 2*k(m)?\nAnswer: 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d - d)*(0 + 4 - 2 + (-5 + 2 - 4)*(-59 + 4 + 111)).\nAnswer: -390*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 4*u**2 + 70*u - 735. What is d(7)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 692\/(-182) - -10*24\/(-560) and 83\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.13 + -1.63. What is the fourth biggest value in 30, 0.3, l, 1\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*y + i + 5, 3*i + 1 = 5*y. Is 287 - -5 - y\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -58. Let j(c) = 8*c**2 + 2*c + 1. Let h be j(-1). Let p(o) = 9*o + 7. Let i(a) = -4*a - 3. Determine h*i(d) + l*p(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a727 (base 11) in base 3?\nAnswer: -101101112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 16*f - 7*f)*(-3*f**3 + 3*f**3 - f**3) in the form n*f**3 + g + c*f + a*f**2 + r*f**4 and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300) + -2 - sqrt(300)) + -4)**2 - ((-5 + (4*sqrt(300) - sqrt(300)))*-1)**2.\nAnswer: -2700 + 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103885909 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 8:48 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, and 1 w when three letters picked without replacement from {w: 3, a: 1, b: 2, u: 12, d: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-34 + 12 - -8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 872211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -8. Suppose 0 = -2*h + 65 - 51. What is the units digit of ((-6)\/f - 0)*(4 - h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/11 - 143088018*p\/11 + 286176028\/11 = 0. Calculate p.\nAnswer: 2, 71544007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7558 - -7557. Put d, -40, -38 in descending order.\nAnswer: d, -38, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*c - c**4 - 65 + 90*c + 67 - 5*c**2 - 14*c**2 to the form v*c**3 + t*c**4 + l*c + j*c**2 + b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 3*i**2 - 3. Let b be r(2). Let d(x) = -2*x - b + 7*x + 0*x + 2. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157 - 141. Solve 10 - q = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096810151?\nAnswer: 1096810151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 20 = 4. Let d be ((-6)\/(-9))\/(s\/(-30)). Let c(m) = 4*m**3 + 5*m**2 - m**3 + 4 + d*m - 2*m**3. Give c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + r - 1. Let u(x) be the first derivative of -5*x**3\/3 + x**2 - 2*x + 19. Give 7*a(y) - 4*u(y).\nAnswer: -y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -1966, -4, -4236 in decreasing order.\nAnswer: 3\/5, -4, -1966, -4236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r - 387. Calculate a(-17).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -11 - -8) + -365 + 262.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) 0.2 (c) -15 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 190\/(-35) + (-12)\/(-28). Let a = -0.88 + -0.12. What is the closest to a in -2\/7, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**(-35))**(6\/11) assuming q is positive.\nAnswer: q**(105\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8707793 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/108966 + -8887\/55027830. Let a = -127359\/13130 + f. Let u = 3843\/2 - 1877. Calculate the common denominator of u and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + 0 + sqrt(832))**2 + sqrt(832) + (sqrt(832) - (-5 + (sqrt(832) - 5*sqrt(832)))) + -5.\nAnswer: 80*sqrt(13) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*i, 2*s - 3*i = -0*i + 26. Suppose 4 = 3*p + p. Suppose -p = -2*q + 7. Calculate the remainder when s is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*b - 10 = 0, 0 = -4*a - 7*b + 4*b + 75. Let d be 3\/a + (3 - (-4)\/(-20)). Solve -3*t = -d*x + 2*x + 12, -5*x - 3*t = 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -496, -2, 628?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.81851465 from -0.05.\nAnswer: 0.76851465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-25))\/((-1)\/(-5)). Let q(c) = 4 + 2*c - c - 1. What is q(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2597\/5 - 537. Which is greater: c or -19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let c be f(5). Let a(b) = -159380*b + 79694*b + 79687*b + 10. Determine a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3322014, 3322057, 3322100, 3322143?\nAnswer: 3322186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -34553524?\nAnswer: -34553511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 825 - -18. What are the prime factors of f?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 0.06, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-392)\/35 + 11). Let v(x) = -302*x**3 - x - 1. Let j be v(-1). Let i be 12\/60 - j\/b. Which is smaller: -31 or i?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 58*a**2 - 401*a + 2129. Determine t(51).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 1, 4, 14 in ascending order.\nAnswer: -6, 0, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103232 + -3?\nAnswer: 103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -651 - 5014224?\nAnswer: -5015205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -39*o + 1. What is q(1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 = 45*b + b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*x + 14 = 454*x - 5*w, 2*w = -2*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85735759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*j + 2*j. Let u be 6\/(-4) - (4 - (-85)\/(-10)). Find the first derivative of -14 + j - u*d + d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 0. Let v = o + 11. Solve 2*a + v*f = -6, 4*f + 7 = -5*a + 2*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199 - 163. What is the remainder when 321 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 82 - 45*l)*(17 - 4 + 1 + 21).\nAnswer: -1575*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*r**4 + 0*r**4 - 5*r**4 - 20 - 15*r + 2*r wrt r?\nAnswer: 12*r**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 + -177374?\nAnswer: -177410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g**(1\/11)\/g)))**47\/((g\/g**16)\/g**(3\/2)) assuming g is positive.\nAnswer: g**(457\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 197c + -66?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 6*p + 0*p)*((6 - 2 - 2)*(-2*p + p - 2*p) + 4*p + 2*p - 4*p)*(-4 + 5 + 36)*(4 + 1 - 4).\nAnswer: -1332*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let i be 2\/(2\/(2 - g)). Suppose 3*c = -i*c + 185. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/s**(-3)))\/s*s)\/s)\/(s*s\/(s**(-6)*s*s)))**(2\/7) assuming s is positive.\nAnswer: s**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 929 - 416. Let o = 25 - w. Let r be 740\/o + 0 - -3. Is r greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1.8. Let y = 97 - 98. Suppose 3*q - 9 = 3*l, 0*q = -4*l + q + 3. What is the biggest value in l, y, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 975.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 16\/89 (c) -22 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 400ca - c?\nAnswer: 400bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6370*j + 2. Let m be t(1). Is (-2)\/(-6) - m\/48 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-4) - (2 + (-234)\/104). Let y(v) = 2*v**2 + v - 1. Suppose -5*m + 6 - 21 = 0. Let h(g) = g - 1. Determine k*y(d) + m*h(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 4 - (1 - (0 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.9 - -10.9. Which is the fourth smallest value? (a) -1\/3 (b) 0 (c) -0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.334 + 0.25. What is i rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3531321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 496.03637 to 1 decimal place.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 327118554 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(51) - sqrt(255)\/sqrt(5))*3*-1)\/((sqrt(24)\/sqrt(2))\/sqrt(4) + sqrt(3) - 3*-2*sqrt(3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -169a8?\nAnswer: 169a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 132*q**4 + 250713*q**3\/2 + 3320019*q**2\/4 - 289281*q - 59409\/4 = 0.\nAnswer: -943, -7, -1\/22, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - u**2)*(-u - u + 4*u) - 4*u**3 + 5*u**3 - 2*u**3 + (-34 + 32*u + 68 - 36)*((-3 + 1 - 4)*(3*u - u**2 - 3*u) + 3*u + u**2 - 3*u).\nAnswer: 221*u**3 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*l - 3*r + 205, -r - 353 = -4*l. Calculate the remainder when 3865 is divided by l.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 5:06 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -2. Let c = -1 + x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*c = 2517 + 91 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c7b + 132b?\nAnswer: 22a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 10. Suppose 0 = 2*c + 4, -5*b + c = -20 - 12. Which is smaller: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 10*x - 12. Let h be b(8). Let g = -291 + 293. What is l in -80*l + 20 + 7*l**3 + 75*l**g - 20*l**2 + 13*l**3 - 15*l**h = 0?\nAnswer: -2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13008407, 26016793, 39025179, 52033565, 65041951?\nAnswer: 78050337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4736 - -7564. Let g = n - 1999. What are the prime factors of g?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.2, -5, -3, 5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -22 + 7 + 3 + (-272)\/(-12). Find f such that -12 - z*f + 4\/3*f**2 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Let q be (0 - 2)\/((-2)\/5). Suppose -5*n = -3*n - c + 7, 22 = 3*n + q*c. Let a(u) = 3*u - 4. Calculate n*a(h) - 4*k(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 14. Let n be d(9). Suppose 6*w + 10 - n = 0. Suppose -4*q + 12 - 4 = 0. What is the highest common factor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Suppose 18 = y - 3*c - 2*c, 5*y + o*c = 6. Solve -12 + y = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 964438 and 251714.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 245\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840106 is divided by 715?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16371 and 8854875?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 2)*2641197\/195 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 357 = 123. Find the common denominator of w\/(-10) + 4\/(-20) and -53\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/24 and 33\/3800?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19*((-4)\/(-3) - (-2)\/(-6)). Solve c = -4*o + 2*c + 9, 0 = -o - 4*c - m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3.73 - -161338\nAnswer: 161341.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-20))\/(18\/(-16)). Suppose 5*b = 2*b - 4*y - 2, 12 = -4*b + 4*y. Let d be ((-1)\/b)\/(1\/2). Do d and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**5))\/j*j\/(j*(j\/(j*(j*j*j**(4\/7)*j)\/j))\/j))\/(j**(-2\/5))**(-16) assuming j is positive.\nAnswer: j**(-309\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7992128 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*z - 12*z - 2*z**2 + 8*z wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358376, 358380, 358384?\nAnswer: 358388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -16*h + 8*u + 443493, -h + 443498 = -3*u. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**2 - 243*r - 24292 wrt r?\nAnswer: -2*r - 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209\/54 - 9523\/270. Let f = o + 31. Let c = 0.13 + -0.03. What is the nearest to c in -0.1, 2\/11, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18925 minus 6231041?\nAnswer: -6249966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 33572*n**2 - n + 3. Let m(g) = 2*g. Calculate m(j(f)).\nAnswer: 67144*f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 16) to base 5\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 2293453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.3 (c) 9\/14 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 5*l + 45, 2*d - 5*l - 2101 = -2104 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7838113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 188*f**2\/3 - 370*f\/3 + 184\/3.\nAnswer: -2*(f - 92)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -s + 2*s - 3, -3*b + 11 = 5*s. Find the second derivative of -3*m - 3*m**4 + m + b*m**4 - 2*m**4 wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -140, -486, -1166, -2294, -3984?\nAnswer: -6350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9) + ((-17602)\/507 - -35)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18226 at most as big as 3340\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/7)\/((-750)\/525). Sort -0.001, l, -2.\nAnswer: -2, -0.001, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/2 (b) 19 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*v - 23044, -4*v - 2*f + 4*f + 30702 = 0. Let b = -17312 + v. Let a = -211969\/22 - b. Find the common denominator of a and -81\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 7*y - 34. Let n(m) = 6*m**2 - 20*m + 17. Let s(i) = -2*i**2 + 7*i - 6. Determine y*s(w) - 6*n(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 + 7*q**2 - 31*q**2 + 8*q**2 + 22*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -0.5 (c) 3 (d) 2 (e) 8 (f) 100\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 6340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - s - 1. Let b(c) = 909*c**2 + 6*c - 1805. Let g(k) = b(k) + 6*h(k). Differentiate g(v) with respect to v.\nAnswer: 1806*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1, 2, -60?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -596244*k + 2*k**5 + 171*k**2 + 596244*k - 2*k**4 + (6*k**5 - 4*k**5 + k**5)*(2 + 2 - 6).\nAnswer: -4*k**5 - 2*k**4 + 171*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 3*sqrt(68) - sqrt(68))\/sqrt(4) + 3 - (-1*(sqrt(68) + (sqrt(68)*-3 - sqrt(68))))\/sqrt(4))**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*k - 212*k**4 - 236*k**4 - 2301*k - 1480*k**4 wrt k?\nAnswer: -23136*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152252402\/7 or -21750342?\nAnswer: -152252402\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 15*r + 2. Let g(k) = 2300*k + 350. Let l(p) = -164*p - 25. Let d(b) = 4*g(b) + 55*l(b). Give 2*d(t) - 25*x(t).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/24 and 143\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6)*(27 - -3). Let f be 0*-5*3\/n. Solve f = 9*l - 4*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*d - 8 = -0, 28 = 4*h - 4*d. Is (-557)\/h*(-6 + -2 + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*x + 177*x + 156 = 4*a, -2*x - 2*a = -48 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 141*b**2 + 1997*b - 771. Give z(-154).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 - -3.10057. Round o to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-18)\/(b\/b**(-1\/3))**(-40)*((b\/(((b*b\/b**(-1))\/b)\/b))\/b)\/(b**(-3)*b)*(((b\/(b**(1\/2)*b))\/b)\/b)**(-1) assuming b is positive.\nAnswer: b**(449\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/30 + f**4\/6 + f**3\/3 - 2*f**2. Let g be j(-2). Let m(d) = 10*d + 1. Let q(c) = -c. Give g*m(z) + 22*q(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, and 1 j when three letters picked without replacement from {h: 1, b: 1, y: 1, m: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -89. Let d = 0.9 - 1. Let w = -0.6 - d. Which is the smallest value? (a) w (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 5*o = 84, 3*o - 52 = -4*i. What is the remainder when 46 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 5:45 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3221850 - 0.15\nAnswer: 3221849.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -166, -12830, -0.1, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + g - 12 = -g, 4*d - 84 = 4*g. Factor -24*w**3 + 358*w - 72 - 3 - 3*w**4 - 238*w - d*w**2.\nAnswer: -3*(w - 1)**2*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4\/5 - 20411*p**3\/5 + 34775163*p**2\/5 - 196363629*p\/5 - 69319206\/5 = 0. What is p?\nAnswer: -1\/3, 6, 3399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -907082 <= -907080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5926*a**3 - a**2 + 3*a + 2. Let b be x(3). What is b rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988 is divided by 662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p - 24. Let i(x) = 3*x - 6. Let z(t) = -5*c(t) + 21*i(t). Let l be z(3). Suppose -1324 = -7*j + l*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 77*n - 5469. Give m(71).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-444 + 444 + 19*z)*(z - z + z).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 5, h: 11, n: 1}. Give prob of sequence hc.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 + 135*p**2 + 30*p - 316. Let v be w(20). Which is greater: v or 6282?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-67)\/(-4) + 1\/((-32)\/24). Solve i*h = 19*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by (-11 + 5 - -7)*(11 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {f: 2, v: 3, a: 4, m: 2, b: 1, k: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 2*b + 29 + 33*b.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, i: 11, g: 5, m: 2}. Give prob of picking 1 g and 3 i.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 0 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 2.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -5. Let a = f + 35. Let w = a + -25. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 37*n**2 - 535*n + 77. Calculate p(-12).\nAnswer: 2897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 54 - 21 = 0. Suppose 3*n + b - m = -3*b, 3*b = -2*n + 49. Suppose -21 = -r + n. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(2*sqrt(12) - sqrt(12))*-4 - ((0 + sqrt(11) - sqrt(11))*3 + sqrt(11) + (sqrt(11) + -1 + sqrt(891))**2)) + 3.\nAnswer: -1098 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 2*w + 2. Let a = 2 + -4. Let x be n(a). Suppose y - x - 6 = 0. Solve -2 = -2*o + u, -5*u + y = -o - 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-9) - 2\/(-9) - -1. Suppose 0*h = -j*h + 200. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*c**4 - 445*c**3 + 345*c**2 + 70*c.\nAnswer: 5*c*(c - 14)*(c - 1)*(6*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21231111 + 101?\nAnswer: -21231010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0405 rounded to three dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1)\/(99\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**2 + 3*n - 3. Let v be g(2). Let t(i) = -i**2 + 7*i - 4. Let x be t(5). Find the common denominator of v\/(-30)*x - -2 and -20\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1321 divided by 5422\nAnswer: -1321\/5422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-170)\/51*3\/(-2). Suppose 0*n + d + 60 = n, 350 = 5*n + z*d. What is the highest common factor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 148*u**3 - 2*u + 1. Let q be t(1). Suppose -g - q = -4*g. What is the remainder when g is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 - 2*o**2 - 5*o + 6. Let r = 12 + 5. What is the remainder when i(-3) is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i**3 + 6*i**2 - 15*i + 17. List the prime factors of y(-7).\nAnswer: 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -92405?\nAnswer: -1\/18481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/(-16) + (-1)\/(-2). Suppose -38*v + r = -36*v. Suppose -2*c + 2*w + 210 = 0, 0*c + 5*c + v*w - 493 = 0. What are the prime factors of c?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 66*f**3 + 4.\nAnswer: 66*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -88. Let c(h) = -j - 19*h + 21*h + 0. Let a be c(12). Is a smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t - 3 = 0. Solve -t*s + 1 = -11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 9*w**2 + 2*w - 8. Suppose -77*b - 2*y + 8 = -75*b, 3*b + 2*y - 17 = 0. Give v(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3958518.545 - 3958525.035001044. Let t = h - -6.49. What is t rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.904549843 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-19)*k\/k**20*k assuming k is positive.\nAnswer: k**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17373710 is divided by 14711.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssshh. What is prob of sequence sh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + -5*(sqrt(85) + -4*sqrt(85)) - sqrt(85) - sqrt(85))\/(5*sqrt(500)).\nAnswer: 7*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121257 = 289*s - 131661 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -97, -94, -93, -94, -97, -102?\n\"Answer: -l**2 + 6*l - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -487478*g. Let n(m) = m**2. Determine n(w(z)).\nAnswer: 237634800484*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 3976.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose -2*l + 5 + 1 = v. Solve 4*a - o + 14 = 0, 4*a - 4*o + 11 = l*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144735 is divided by 505?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(187) - sqrt(187)))\/((sqrt(132)\/sqrt(3))\/sqrt(4)) - (-1*sqrt(17)*-5 + sqrt(204)\/(sqrt(24)\/sqrt(2))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52213 - -52213.0000042579. Round p to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 578057 + -743959310\/1287. What is the common denominator of -23\/702 and k?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -37. Let i = 170 + -312. Let k = i - -161. Do p and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -6, c = -5*j + 4*j + 51. Let k(a) = a**2 - 6. Let z be k(5). Let g = j - z. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.57012 millilitres?\nAnswer: 0.00557012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 21.8939.\nAnswer: 8.75756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1375, -10953, -36947, -87565, -171015, -295505, -469243, -700437?\nAnswer: -997295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 3, 2\/7 in decreasing order.\nAnswer: 6, 3, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l - 12. Let s(d) = d**2 + 11 - 2 - 5*d + 2*d**2 - 2*d**2. Let o be s(l). Solve 4*r = 3*b - 5 + 14, -20 = -5*r - o*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(6\/18)\/(2\/(-6)). Suppose 5*h - 4*f - 85 = 0, -3*h - 17 = -4*h - b*f. What is the remainder when 91 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/17, 29844 in decreasing order.\nAnswer: 29844, 0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 3. Let l be 21 - 1 - (13 - 8). Suppose -30*k + 27*k - l = 0. Determine a(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-19) - (5805\/(-817) - -12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130611665 + 2?\nAnswer: 130612000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 776.\nAnswer: 24832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*b + 16*b + 1 - 1 + 60*b + 2.\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5409551 millennia to years.\nAnswer: 540.9551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 0.1, 0.3, 0.03, 19889?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - -77) + (-8 - (-3 - -58))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1841?\nAnswer: -1844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (-3 + sqrt(637))**2.\nAnswer: -42*sqrt(13) + 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - j - 10*y + 0*y = -10*y - 4*y + 12, 5*y = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/23)\/(u**(2\/17)\/u)*u**(2\/7)*u**(-3)\/u assuming u is positive.\nAnswer: u**(-7513\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 + -1.318.\nAnswer: -1.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 186857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50033, 58862, 67691, 76520, 85349?\nAnswer: 94178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222201 - -30?\nAnswer: 222231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162109.\nAnswer: 162109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 - 122630*z + 245256 = 0. Calculate z.\nAnswer: 2, 122628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7336752 + 0.5.\nAnswer: -7336751.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*u - 2*n - 6, 0 = -5*u + 5*n - 30 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*w = 3724 + 2444 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f + 1. Let q(w) = 26*w + 3. Let a(v) = 17*l(v) - 6*q(v). Calculate a(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 5, w: 3}. Give prob of sequence yzw.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38687.\nAnswer: 11, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 603*p - 24 - 153*p - 144*p - 154*p - 145*p. What is r(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.103477 and 1.377.\nAnswer: -0.142487829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.666457782862 and -6?\nAnswer: 10.666457782862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 148 - 3?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Suppose -2*h + 4*h - 14 = 3*u, 5*u + 4*h = -16. Sort d, -3, u.\nAnswer: u, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42374*s**3 + 5*s**2 + 5394*s - 17?\nAnswer: -254244*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7d3dab (base 15) to base 5.\nAnswer: 3013040321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 0.0785238.\nAnswer: -0.0214762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360 + -148. Calculate the remainder when b is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329*s**3 + 10299*s**3 + 10617*s**3.\nAnswer: 19587*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 4*t**2 + 12*t - 2. Let o(j) = -j**3 - j**2 - 1. Let i(v) = 2*o(v) - w(v). Find the second derivative of i(m) wrt m.\nAnswer: -30*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2482.88 to the nearest ten.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, u: 4, s: 1}. What is prob of sequence uuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4600 or -4601?\nAnswer: -4601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hjjhjjjj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*1500\/(-1250)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**4 + 18*r**3 + 52*r**2 + 72*r + 42. Let l(j) = -j**4 - j**2 - j + 1. Let h(o) = -b(o) + 6*l(o). Suppose h(v) = 0. Calculate v.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 190*c - 27 = -185*c, 5*n = -3*c + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-9)\/15)*3. Suppose 69 = z*f - 4*v + 14, -5*f + 55 = 4*v. Let o = 16 - f. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262648652.3 - 262648380.2999747. Let x = 272 - f. What is x rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-44))\/(1 - (-21)\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 0\/4 - 0. Suppose y = -a*s - 7, 14 = -2*y - 0*y + 3*s. Let u(l) = -l - 3. Let b be u(y). Solve -g + b = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/35*392\/(-24). Suppose u - g = 13, -13*u + 4*g + 12 = -h*u. Calculate the greatest common factor of u and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 1. Let d be s(-3). Let c(x) = 5*x**3 + 2*x**2 + 9*x + 2. Let r(f) = -f**3 - f**2 - 2*f - 1. Let k(u) = -c(u) - 6*r(u). Give k(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/311, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 109.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -746. Let x be 4\/34 - (-1280)\/j. Let f(g) = -3*g**2. Give f(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3619.\nAnswer: 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + -63 + (-2 - (1 - 2)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218.34391 + -11309008.65609. Let w = 11309158.00031 + f. Let z = w + 69. What is z rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 372748*p + 3354807. Give b(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*j**5 - 188481*j**4 - 12273435*j**3 + 46782885*j**2 - 51607116*j + 17286156 = 0. What is j?\nAnswer: -20877, -69, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-2288)*-8*12.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -25*i**2 + 3. Let q(l) = l + 3. What is q(f) - v(f)?\nAnswer: 25*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 179 = 3*r, -3*r - 15 = -h + 16. Calculate the remainder when h is divided by ((2 + 43)\/3)\/(265 - 262).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 + 0 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/88503 or -1?\nAnswer: 2\/88503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o. Calculate x(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 235, 321, 419, 529?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3463 + 11452. What are the prime factors of l?\nAnswer: 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 + 9876*v**3 + 29604*v**2 + 29596*v + 9864 = 0. Calculate v.\nAnswer: -2466, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let k(h) = h**2 + 4. Let j(b) = -k(b) + 4*q(b). Let l(t) = -14*t - 8*t + 21*t. Calculate l(j(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-3)\/(-30)*10)\/((-3)\/(-39))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, 9, -4 in decreasing order.\nAnswer: 9, 8, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 453?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 - 6*a - 14. Let h(j) = -4*j**2 - 9*j - 5. Let s(f) = 6*f**2 + 13*f + 8. Let n(r) = -7*h(r) - 5*s(r). Give 4*g(y) - 11*n(y).\nAnswer: 2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*v + 25 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 6217, 33 in ascending order.\nAnswer: -62, 33, 6217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**3\/6 - c**2\/2 - c. Is b(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6424213*k**4 + 10069462 wrt k?\nAnswer: 25696852*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2728157 less than -1444.551?\nAnswer: -2729601.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 7. Let u be w(10). List the prime factors of -51*1\/(0 + u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258608, 258604, 258600, 258596?\nAnswer: 258592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + c + 4439 = 0, 15*c + 3333 = 3*z + 18*c. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -46*o + 3. Give l(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1101949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 13, -6 in increasing order.\nAnswer: -6, -4, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 24998?\nAnswer: -149988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -123 + 0\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/22*(18 - -2). Solve 5*b - c = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578 is divided by 314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 401 + 319 = 0. Let i = v + -350. Solve -i*l + 4*l = -30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 36. Suppose 0 = y + 4*q + 20, 0 = -i*y + 3*q - 2*q + 5. Suppose -2*p + 3 + 1 = y. Solve 3*c + 5 = -p*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/2*22\/99. Suppose 2*j = -b*a + 1366, 0 = -3*j - 6*a + 3*a + 2043. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 0*b + 0*b + (0*b**2 - 4*b**2 + b**2)*(4*b - 2*b - b) + 0*b**3 + b**3 + b**3 as r + d*b + h*b**3 + n*b**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*a**2 + 247*a**2 - 895*a**2 + 278*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14283397 to the nearest integer?\nAnswer: 3779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = -2*f, 4*w = 5*f + 3*w - 31. Let z = -1 + f. Let u(v) = 3*v - 6. Is 6 a factor of u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - -43) + (2 - 3) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (103*3)\/(-11 - 685\/(-57) - 1).\nAnswer: 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let u(v) = 0 + 162*v**2 - 16150*v + 4 + 16147*v. Is u(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7692, 7695, 7716, 7767, 7860, 8007?\n\"Answer: 2*t**3 - 3*t**2 - 2*t + 7695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -55. Suppose d*b = -57 - 375. Let q = 11 - b. What are the prime factors of q?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9742052 and 6.\nAnswer: 29226156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87454326 to the power of 1\/2, to the nearest integer?\nAnswer: 9352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 329 or 0.08?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5 + 164590*r**3 - 189079*r**2 wrt r?\nAnswer: 60*r**2 + 987540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/22 + 3*(3 - 2). Let g = -7\/33 + p. Which is the closest to 2? (a) g (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 6. Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 4 + (-26 - (22 + -39)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71970815 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*r + 13*a**2 - 2*a*r + 10*a + 2103*r wrt a.\nAnswer: -2*a*r + 26*a - 2*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -120\/13? (a) 0.014 (b) 20 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327 - 15*k + 327 + 89*k - 21*k - 21*k - 30*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 9*k**2 + 8*k + 15. Let f be t(-7). Let i be (3 - 40\/12)*0. Suppose -2*q - 12 = -4*o - 6*q, 4*o - 5*q - f = i. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = 392. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -503, -1002, -1499, -1994, -2487?\n\"Answer: k**2 - 502*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 46*g + 431. What are the prime factors of q(-43)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybuyybbwvwy. Give prob of picking 1 w, 1 y, and 1 v.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 - -9 - (2 + -7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*w**2 + 507*w**2 + 1611*w**3 - 1616*w**3.\nAnswer: -5*w**3 + 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*k - 4*k = 2*k - 106 + 157, 4*f - 38 = k for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -443*j + 443*j - j**3 + (-3 + j + 3)*(2*j**2 - 3*j**2 + 3*j**2) to the form n + y*j**2 + s*j**3 + g*j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 750 and 2475.\nAnswer: 24750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 31570*a + 63160.\nAnswer: -5*(a - 6316)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(306\/1292*19)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.3 + -455.\nAnswer: -479.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 90 - 5*h - h**2 + 75 + 3*h + h. Let v be g(0). Calculate the remainder when v\/(-2)*(-8)\/12 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j - 62*j - 24 = -105*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 5*a**4\/24 + 4*a**3 - 25*a**2. Let n be r(-4). Suppose n*q - 17*q + 494 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 44 + 42 - 15*u + 22*u - 9*u. Let p(s) = -9*s. What is z(p(w))?\nAnswer: 18*w + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**5\/9 - 111278*z**4\/9 + 105072*z**3 - 2058028*z**2\/9 + 389324*z\/9 + 278110\/3 = 0.\nAnswer: -1\/2, 1, 3, 5, 27811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100103320 (base 6) in base 9?\nAnswer: -3152643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*q**4 - 3*q**4 + q**4 + q**4 - 5 wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*j + 3*w, -15272*w - 23 = -4*j - 15287*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1111*m**3 - 372 + 1515 + 975 - 2*m**2 - 3923*m + 3928*m + 297*m**3 wrt m?\nAnswer: -2442*m**2 - 4*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(30*y**2 + 23*y**2 - 17*y**2)*(y + y - 4*y) to the form v*y**2 + h + n*y + x*y**3 and give x.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 + 3*u**2. Let s be q(-2). Let p = s + 38. Suppose -n - n - p = 0. Sort n, 2, -2 in decreasing order.\nAnswer: 2, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/32 and 0 - (((-3523)\/(-804) - 3) + (-12)\/9)?\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(80) + (sqrt(80) - (1 + sqrt(80)))) + sqrt(80) - (6*(sqrt(80) + -1 - sqrt(80)) + sqrt(80))) + 1)**2.\nAnswer: -480*sqrt(5) + 2144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12845 (base 10) in base 15?\nAnswer: -3c15","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264638030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -0.2 (c) -1.14 (d) 8521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 - 4*s**3 + 3*s**3 + (-2 + 2 + s)*(-347*s**2 + 1863 - 1863).\nAnswer: -350*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -256629 and -0.06.\nAnswer: 15397.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-203)\/3*5838\/(-27244))\/((-2)\/4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/24 + o**3\/6 + 7*o**2. What is b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and 0.61581746?\nAnswer: 0.153954365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 276*o - 328 - 224. Solve 2*b + 4*c + 16 = 6*b, 3*c + 12 = o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 3\/10, -2, 3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - i + 5)*(-18*i**2 + 18*i**2 - 8*i**3) - 44*i**4 - 83*i**4 - 29*i**4 - 4*i**4 + 7*i - 7*i.\nAnswer: -152*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 1. Let u be x(-1). Let p(y) = y**2 - 12*y + 25. Let m be p(10). Sort -5, m, u.\nAnswer: -5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 291604.92 milliseconds?\nAnswer: 4.860082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxw when three letters picked without replacement from xygggggggwwgxgvxyy.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -70. Suppose -4 = -u + 10. Let f = s - u. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -883243, -883232, -883223, -883216?\nAnswer: -883211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.77 + -1379.23. Let z = k - -1362.44. Let a = 23 + z. What is a rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o + 4*l, 2*o - 3*o + 9 = -l. Let w = o - 7. Suppose -a + c = -19, 2*c + 0*c = -w. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54811635.3 + -0.04?\nAnswer: -54811635.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((5 - 2 - 5) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 6*m - 20, 4*q + m + 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 71 = 3*c, 4*c - 46 = 4*n + 62. Calculate the greatest common factor of 48 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-4) - (3 - 55\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.40713 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 + 11 = 5*k, 0 = 5*k + 2*q - 26. Suppose -x = z - 6*x - 32, k*z - 32 = -4*x. Suppose 3*l = z - 3. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 + 353. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/60 + (-6)\/(-15). Let h = -572 - -679.2. Let s = 107 - h. Which is the closest to 1? (a) y (b) -2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 46*l + 46*l - 142*l + 50*l. Let v(o) = -2 + 2 + 34*o. Give y(v(m)).\nAnswer: -1156*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 26. Suppose 5 + 5 = 5*y - l, 8 = -2*y - j*l. Let g = 21 + y. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 957 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g - 54. Calculate the remainder when 97 is divided by l(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 29 = -32. Suppose -2*h = -h - p, 2*m + 5*h = -237. What is the units digit of (-12)\/8 + m\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose 21 = u*j - j. Calculate the remainder when j is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + v = -1, -v = 66*c - 65*c + 5. Solve -41*j + 20 = -c*h - 37*j, -3*h = -5*j + 27 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -810 - -1198. What is the remainder when c is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.83 times -688\nAnswer: 571.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8355 at most as big as 8355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47427071 to the power of 1\/2, to the nearest integer?\nAnswer: 6887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 1\/3*z**3 + 1\/4*z**5 + 0*z**4 - 7*z + 3 + 19*z**2. Differentiate q(f) wrt f.\nAnswer: 15*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/70 + 103\/(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/10 - 4)*(-4 + -1). Suppose -5*b - 2*w + 5223 = 0, 5293 = 4*b + g*w + 1109. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let d = 0.6 - r. Let i = d + 0.3994. What is i rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10592283?\nAnswer: 3, 13, 271597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28477427\/12 - 2371770. Let x = -1355 + h. What is the common denominator of -47\/18 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.4 - 3.1. Suppose -2*p + 0*v = -v - 10, -2*p - 5*v = -34. Let m be p\/21 - 1\/(-3). Sort q, m, -0.2 in increasing order.\nAnswer: -0.2, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11753283173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 9*y**2 + 31*y + 32. Let q be s(-15). Let d = q + -618. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -179098, -179120, -179156, -179206?\n\"Answer: -7*y**2 - y - 179090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*x - 0*x + 33, -4*p - 91 = -5*x. What is the remainder when 74 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 4, u: 7, s: 6, v: 2}. What is prob of sequence yvj?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101183728 and 35711904?\nAnswer: 607102368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 17. Let b = 149291\/195 + -10068\/13. Let v = 9 + b. What is the closest to a in v, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 5. Let x be m(10). Let j = x - 17. What is the units digit of 38\/2 + 2*j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**3\/3 + g**2\/2 + 3. Let w be y(0). Suppose s - 2 - 3 = w. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 5*w + 6. Let l be f(-6). Suppose -5*t = -d + 3*d + 2, l = -3*d - 3*t + 6. Solve -z = -d, 3*z = -k + 6 + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - (3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -36. Let o(y) = y - 35. Suppose -12*x + 10*x - 6 = 0. Let f(j) = x*o(j) + 2*m(j). Let a(n) = -n + 11. Let q(h) = 8*a(h) - 3*f(h). What is q(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 20*p**2 + 15*p + 11. What are the prime factors of m(-21)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 1}. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1774998?\nAnswer: 1\/1774998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8691 (b) -1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - 77. Put -5, -3\/5, i, 3 in ascending order.\nAnswer: -5, -3\/5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*h - 14*h - 3*h)*(2*h - 3 + 3)*(-3 + 4 + 1)*(3*h**2 - 6*h**2 + h**2) to a + k*h + c*h**4 + b*h**3 + q*h**2 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 at least as big as 1203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*t - 6*t. Let i = -16 + 4. Let w = i + t. Solve 5*c - 4*f + 30 = 0, w*c - 2*f + 35 = 3*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d*d)**(2\/3)*d**(1\/8)\/d**(-2) assuming d is positive.\nAnswer: d**(67\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/120 - w**5\/12 + w**4\/6 + w**3\/6 + 114*w**2. Give i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 3534 in increasing order.\nAnswer: -4, 3, 3534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/20 and -31\/52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -668*i - 10. Let b(r) = 472*r. What is d(b(j))?\nAnswer: -315296*j - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let x(i) = -i**3 + 9*i**2 + 2*i - 8. Let k be x(9). Suppose o = -w*v + 9, 4*o + v + k = 67. Solve -7*q + 2*q - o = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3154 and -3159 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*p = 263, 2*v + 3*p = -2*v + 312. Suppose -4*k = -5*k + 12. Let m be k - 5\/((-15)\/(-9)). Calculate the highest common factor of m and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuzuvjuvqljuqjuqjz. What is prob of picking 1 l and 2 u?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 10*x**2 + 0*x**2 - 4 to v*x**2 + n + f*x and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1001000000101101011100?\nAnswer: 1001000000101101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157*3\/264 + (-52)\/26 and 12\/187.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-610)\/(-61)*(-1)\/(-1). What is the thousands digit of 53118\/45 + 4 + 6\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -57. Let y be (-9)\/(-15) - 11449997\/z. Round y to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 4:28 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*t - 15, 5*t + 6*j - 2*j + 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a - 3*a)*(-2*a + 0 + 0)*(3*a**2 + 2*a**2 - 3*a**2).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -1 (c) -1.48 (d) 12 (e) 0 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736 + 472 = 33*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4 + 1 - 14*m + 2 + 0. Give q(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 2*a**2 - 2*a**2 + (-55 + 66 - 19*a - 2*a)*(-3 - a + 3).\nAnswer: 19*a**2 - 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(425) - (sqrt(425) + -1*sqrt(425)*2)))**2.\nAnswer: 200*sqrt(17) + 3450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-4 + -4 + 1 + 6). Let h = 23 + s. What are the prime factors of 15*(h\/5 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 54 = 3*a. Suppose -4*p + c + 167 = 0, a*p - 2*p + 2*c = 44. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4844039 or -4844037?\nAnswer: -4844037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paa when three letters picked without replacement from {p: 1, k: 8, a: 1, m: 6, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5*t)*(120*t + 229*t - 64*t - 2).\nAnswer: -1425*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lff when three letters picked without replacement from fllf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4172093 is divided by 1390694.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/3703 and -7\/110561?\nAnswer: 773927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/6 - 6*g**2 - 188*g - 2. Let s(x) = 414*x. Calculate t(s(j)).\nAnswer: 1713960*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(21\/621) - (-3)\/7. What is the units digit of (n\/(-7))\/(8 + 225\/(-28))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:51 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 35122000 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 2*g)*(4 - 1 - 1) + 2*g - 4 + 4 + (4 - 4 - 4*g)*(74 + 53 - 84).\nAnswer: -168*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((12\/(-3))\/72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.1. Let m(v) = -9*v**2 + 395*v + 49. Let s be m(44). Put 0, z, s in decreasing order.\nAnswer: s, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25974 is divided by 388?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -0.4, 140\/9, -5, -4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6281 - 6274. Calculate the remainder when 5570 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87151153.\nAnswer: 43, 797, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + 472 + 0*p**3 - 1270 + p**3 to the form m*p + h + t*p**3 + i*p**2 and give h.\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(19)*-3*5)**2 - ((-3*sqrt(19)*-2 - (sqrt(304) + -1))*5)**2.\nAnswer: -130*sqrt(19) + 2356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 541*f**3 - 892 with respect to f.\nAnswer: 1623*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:45 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 682*n + 32167. Give g(-51).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*4\/88 - 53\/(-11). Let i(x) = -x**2 + 5*x - 1. Let p be i(5). Sort -2, k, p in ascending order.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*u + 135, -48 - 44 = -3*n + u. Let m be 1*8 + (-7 - -6). Suppose m = 4*w - n. Solve 0*j + 3*j + w = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 547700 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17936 (base 11) in base 10?\nAnswer: 25086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23535*-58852.\nAnswer: 1385081820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, 3, 11 in ascending order.\nAnswer: -3, -1, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -85082433 rounded to the nearest one million?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41050595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 417.9 or -1?\nAnswer: 417.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 1, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, -25, 0 in descending order.\nAnswer: 13, 0, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1813 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 76*n - 229. Calculate m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1872) - ((sqrt(1872) - (sqrt(1872) + 0 + sqrt(1872))) + sqrt(1872))))**2 - (-2*(sqrt(1872) - (sqrt(1872) + 1)))**2.\nAnswer: 72*sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p**3 + 26*p**3 - 6*p**3 + 21*p**3 - 68*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3120 and 1280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t. Let a(k) = 56*k + 1. Give -a(j) + f(j).\nAnswer: -58*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47051?\nAnswer: 47051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 64\/20)\/((-6)\/(-20)). Suppose 5329 = b*s - 2*y - 5827, 0 = 5*s - 4*y - 13945. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleiideeld. What is prob of sequence lele?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - n**2 + 0*n**2. Let a(p) = -13*p - 26. Let g(d) = -15*d - 20. Let z(i) = -3*a(i) + 4*g(i). Calculate s(z(l)).\nAnswer: 441*l**2 + 84*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 1740*b - 34 = -866*b - 870*b, 12*w - 8*b = 80 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13*a**(-8)*a*a\/(a**(3\/7)*a)*a*a*a**(2\/7)*a)**4 assuming a is positive.\nAnswer: a**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 25*b**2 - 121*b + 14. What is the least common multiple of z(15) and 9?\nAnswer: 4041","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t**2 + t + 1. Let b(h) = -6*h**3 + 12*h**2 - 6*h + 6. Let f be 14\/(-4) - 1\/2. Let z = -3 - f. Let l(k) = z*b(k) - 3*u(k). Factor l(i).\nAnswer: -3*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-18494211\nAnswer: 14795368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.076 + 1.476. Let b = 3 + -1.8. Let w = b - q. Is w > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, -2\/45, -1600, 2 in decreasing order.\nAnswer: 2, -2\/45, -167, -1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 14 = -6. Let y(s) = -117*s + 75. Let w be y(13). Let h = 1451 + w. Solve h*p - 9 = z*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 209, -5, 0 in increasing order.\nAnswer: -5, 0, 5, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.568 + -0.298. Let r = 1.15 - l. Sort r, 5, 1 in decreasing order.\nAnswer: 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 28161342*v**2.\nAnswer: -3*v**2*(v + 9387114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2842 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(-1\/4)*d)**(-36))**(-9\/10) assuming d is positive.\nAnswer: d**(243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117954677.\nAnswer: 109, 1082153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*g**6 - 36*g**5 - 6*g**4 + 6*g**2 - 331*g - 1 wrt g?\nAnswer: -4560*g**3 - 2160*g**2 - 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/9744258 and 149\/29538?\nAnswer: 87698322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + v - 291, v + v = -5*t - 750. Let x = t + 143. Is x greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-484*g**2 - 416*g**2 + 3*g + 192 - 192)*(4 - 4 - 3*g**2).\nAnswer: 2700*g**4 - 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 670834*u**2 - 4*u - 48. Let g be k(12). What is g rounded to the nearest 1000000?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212221 - 2022121?\nAnswer: -102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Let p(m) = -51804*m**2. Determine p(j(t)).\nAnswer: -207216*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + q = -4, -p - 3*q + 3 = -1. Suppose -r - 45 = -p*r. Solve -2*w - r = -7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let p(c) = -c**k + 0*c**2 - 4*c**2 + 10*c**2. Let s(t) be the second derivative of t**3\/3 - t. Calculate p(s(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71222 and 2384?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + 10*v + 3. Let b(i) = i**2 + 1. Let t(m) = 3*b(m) + c(m). Let j be t(10). Let k(f) = -f**2 + 6*f - 4. What is k(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q - 13. Find the second derivative of 6*p**2 - p**3 - 4*p - 6*p**2 - p**q wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05222 less than 7.00353?\nAnswer: 6.95131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/6 + 5*v**3\/6 + 2*v**2 - 5*v. Let z be q(-4). List the prime factors of ((-26)\/8)\/((-4)\/z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 9. Let x be v(-8). Which is bigger: -9\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -4*i - 4*y - 4, i = y - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from aaabaaacacbababcaa?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639284577?\nAnswer: 7, 97, 2414263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 + 1. Let a(l) be the second derivative of -3*l**4 - 131*l - 5. Give a(c(f)).\nAnswer: -2304*f**4 - 576*f**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 32541 (b) -0.52 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*b**2 - 74*b - 196 + 86 - 189 + 224*b**2 - 109*b**2 with respect to b.\nAnswer: -2*b - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - 0.53\nAnswer: -0.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 0.32. Let i = 251 - 1259\/5. Which is the third smallest value? (a) h (b) -1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, z: 7, u: 2}. Give prob of picking 2 z.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -29*h + 215. What is d(-10)?\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1540)\/180 - -9) + 3620\/(-126) + 70\/245\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -96*y**2 - 202*y + 203. What is l(1)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25\/18 + 1\/9. What is the second smallest value in 0.4, 2, -4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*v + 4*v. Suppose 4*o = 2*p - 30600004, -p - p + v*o = -30600003. What is p rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**2 + 2 - 2 - 25*c**3 - 4*c - 5*c**2.\nAnswer: -c*(5*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -4 - -3 - 43497\/(-86). Let h = -1015\/2 + a. Is h < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 5) to base 13.\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 438074*l - 8760680.\nAnswer: -2*(l - 219017)*(l - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8616*d*l - 2*d*s**3 - 2*d + l**4*s**3 - 1433*s**3 wrt l.\nAnswer: -8616*d + 4*l**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**3 + 10*k**3 + 0*k**3)*(-6 + 3 - 6)*(-3*k + 3*k + 2*k).\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545226487.\nAnswer: 7, 220746641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - a + 87 = 2*h, -4*h + a + 75 = 0. Calculate the highest common factor of 54 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/(-3))*-5. Let g = 535 + -533. Which is the closest to -2? (a) g (b) -1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 9*m - 25483959*m**3 + 25483965*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1964190*j + 1964190*j + 1080*j**2 + 2770*j**3 wrt j?\nAnswer: 16620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36997.3 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 39*y = -31*y + 73. Sort -1, -8, y, 12.\nAnswer: -8, -1, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11608610 and 5070?\nAnswer: 34825830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 197.79 to the nearest integer.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 15*h - 39. Let i be -9*(50\/(-135))\/(4\/6). Let f be s(i). Solve 0 = -f*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5147.14949 and 1?\nAnswer: 5148.14949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f + 9*f)*(1 - 2 + 4).\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 + -137. Let h(j) = -22*j. Let l be h(2). Let c = l + x. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255219 meters in kilometers?\nAnswer: 0.000255219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 424*m**2*r**5 + 2*m**2*r + 4*m*r + 3*m + 147*r**4 - 13*r wrt r.\nAnswer: 8480*m**2*r**3 + 1764*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3360\/8)\/21 - 16. Let x(k) be the third derivative of 0*k + 0 - 9*k**3 - 1\/40*k**5 + 3\/4*k**p + k**2. Factor x(s).\nAnswer: -3*(s - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-8))\/((-88)\/(-32) - 3).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*b + 9842, -d + 0*d - 3*b + 3269 = 0. Suppose -4*a + d = -584. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-1\/3)*j)**37*(j*(j*(j\/((j**(1\/4)\/j)\/j)*j)\/j)\/j*j)**(-32) assuming j is positive.\nAnswer: j**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.362 + 129647.\nAnswer: 129647.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/72*-14)\/((-1)\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 152 = g, 4*w = -5*g - 3153 + 3305 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14163910*b**4 + 884678*b**2 + b + 3?\nAnswer: 339933840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3 - 58. Suppose -u - 19 = -3*j. Solve 0 = -5*m - 3*q - j, 3*q + 4 = -2*m + q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1.0518 + 0.1044\nAnswer: -0.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p - 5. Let b(x) = 28*x - 21. Let h(u) = 6*b(u) - 22*t(u). Let j(o) = -5*o + 5. Let f(v) = 6*h(v) + 17*j(v). What is f(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g = 855. Let c = 321 + g. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 343 or 282?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*h - 917, -6*h - 582 = -2*d - 2*h. Let f = 927 + -901. What is the greatest common divisor of d and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82342, 164955, 247570, 330187, 412806?\nAnswer: 495427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103.699295 - 103.7. Round k to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (89 - 51) + 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {o: 3, p: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23354 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 32. Put c, 0, -4 in decreasing order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7581*d**2 - 2926*d + 133. Let i(g) = -286*g**2 - 110*g + 5. Let l(x) = -133*i(x) + 5*n(x). Let f(s) = -13*s. Calculate l(f(u)).\nAnswer: 22477*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -1 + 21. Let h(r) be the first derivative of -r**2 - 6*r - 1. Let f be h(g). What is the second biggest value in 3, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -2. Suppose c + 4*s - n = 0, -5 = -2*s + 1. What is the remainder when 58 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**3\/3 + 26*l. Let b = -13 + 26. Let d(z) = -z + 13 - b. Determine f(d(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*x = 282*x - 2*m + 30, -127*x + 126*x + 29 = 3*m for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (2 + (7 - 10)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = i - w, 0 = -i + 6*i - 3*w - 1526. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.5055 milligrams to grams.\nAnswer: 0.4955055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -356 + 352 - (0 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 44*k + 51. Let f be b(-23). Suppose -4*o + 15 = -o. Find the second derivative of -w**4 - 3*w - f*w + o*w wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53889, -52799, -51709, -50619?\nAnswer: -49529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + x, 3*k + x = -4*x - 6. Let h = -5 - k. Let u be (-12)\/16 - (-1 - -1). Which is the second biggest value? (a) u (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6511 divided by -383?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + t + 7, 2*t - 7 = 20*g - 15*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/4*(72\/(-10))\/3. Let c(p) = p**3 + 17*p**2 - 17*p + 21. Let j be c(t). What is the tens digit of 193 + j + -1*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -1 (b) 9 (c) -0.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 times -0.0531?\nAnswer: -9.1863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16510.999983322 - -16511. Round l to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051656524 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0624 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:47 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**4 - 5*x**3 + 7050*x**2 - 89980*x - 208120 = 0?\nAnswer: -43, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 542 divided by -334754\nAnswer: -271\/167377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 2*r + 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 184345174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 252*x**2 + 5844*x + 593. Give y(-146).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2299)*1*-6)**2.\nAnswer: 82764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5165 + 225863 = -v, 5*v + 15 = 0. What is the ten thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -67*i**3 - 1306*i**2 + 3. Let b(m) = -23*m**3 + 1. Determine -3*b(w) + z(w).\nAnswer: 2*w**3 - 1306*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.935, -84\/13, 992, -3 in increasing order.\nAnswer: -84\/13, -3, -1.935, 992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + 1.5. Let f = 47 - 29. Let d = m - f. Put -0.5, -0.1, d in ascending order.\nAnswer: d, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-5)*10\/3. Let d = -49 + 53. Suppose -d*w = -2*w - 120. What is the greatest common factor of w and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 8) to base 5.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 472?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*x + 76*x + 159*x**2 + 181*x**2 + (x - 3*x + 0*x)*(3 + 2*x - 3) - 2 - 2*x**2 + 2 + 4*x**2 + 4 - 4 - 5*x**2 + x**2 + 3*x**2 - 5*x**2 + 5*x**2 + 6*x**2.\nAnswer: 343*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 3*p - 1. Let j = 23 + -27. Let i be g(j). Suppose 0*q - q - i*l = -93, 0 = q + 5*l - 103. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2917479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.32269 millennia in months?\nAnswer: 423872.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Let w(i) = -13*i**2 - 9*i. Let c(u) = 3*u**2 + 2*u. Let a(m) = -18*c(m) - 4*w(m). Determine a(s(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 - 68. What is the remainder when g is divided by 192\/80*20\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Let s(w) = -2*w**3 - 14*w**2 + 2*w + 17. Let i be ((-2)\/4)\/(-1 - (-90)\/84). Let l be s(i). Solve -l*b = -4*b - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 222302875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3795)\/(-1012))\/((-3)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -138*a - 9*a + 379*a + 256*a + 2*a + 1 - 1 + (2*a + 2*a - 2*a)*(-3 + 1 + 0).\nAnswer: 486*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08844565208 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -3*f + 917, -366 = 2*p - 2*f. Let u be (p\/69)\/((-4)\/6). Solve -k = u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 4*h - 7. Suppose 3*z + 25 = -2*z. Let i be w(z). Let f(p) = p**3 + 3*p**2 + 3*p + 3. What is the units digit of f(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0397 and -544?\nAnswer: 21.5968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 127301639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jged when four letters picked without replacement from gdgedgdggdjgejgeg.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*w - 12, 22 = 5*a - 2*w - 10. Let l be (-3)\/((-9)\/(-48)*4) + 2. Let g = l + a. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -69.\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(651\/(-31))\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/73941 and 30\/2454137.\nAnswer: 51536877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 76. Suppose 0*h - k*h - 4*m + 136 = 0, -2 = m. What is the greatest common divisor of h and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 9, n: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1794 and 99866.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 5, j: 1, d: 2, y: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 4*b + 2*b + 5*b.\nAnswer: 3*b - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26112 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-4)\/((-28)\/(-7)) - -1. Solve 8 = -4*n - 5*y + 16, 0 = -4*n - g*y + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**4 - 468*r**3 - 18252*r**2 = 0.\nAnswer: -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 10) in base 9?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, -1, 6531 in decreasing order.\nAnswer: 6531, -1, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 5. Let r be n(-3). Suppose -2*s = -2*j - 2, 2*s + j + 2*j = r. Let u be 0 - (-5 + 1 + 2). Do s and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61.943 - -62. Let u = 7.227 - b. Let h = u - 7.8. Round h to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctt when three letters picked without replacement from {t: 4, a: 2, v: 1, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 - 3*o - 1. Let j(b) = -b. Let s = -1 + 0. Let z(d) = s*l(d) + 2*j(d). Let t = 2 - 7. Determine z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12120134 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4397 + 4275.48. Let s = b + 125. Let r = -0.48 + s. What is the third biggest value in r, -0.1, -2, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4181 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:52 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17 (b) 52 (c) -5 (d) -4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111602 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1465, -2920, -4375, -5830, -7285?\nAnswer: -8740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1135 and 6415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1188 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)*(0 - 2). Suppose 2*w - 230 = -b*g + 6*g, 0 = 4*g + 8. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153.1 - 153.11406. Round z to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -31. Let m = x + 30.6. Which is smaller: 4\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9 + (-266)\/(-21). Suppose 3*z + c*z = 96. Solve 19*s = 17*s + z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 8, -23, -2 in increasing order.\nAnswer: -23, -2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -9 in ascending order.\nAnswer: -9, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-1 - -6) - -14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 20*s**5 + 65328*s**4 - 104592*s**3 - 52288*s**2 = 0.\nAnswer: -3268, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -542, -1086, -1630, -2174, -2718, -3262?\n\"Answer: -544*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/40*447\/4470\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -246. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l - 1722 = -886 - 2300 - 2554 for l.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 20 = -5*t, -24 = -592*i + 588*i + 2*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*h + 5*w, 28 = -3*h - 2*w + 3. Let c(d) = -d**2 - 4*d + 6. Let p be c(-5). Sort p, -1, h in decreasing order.\nAnswer: p, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 33*m + 4*x + 30 = 0, -4*m = -2*x - 92. Suppose -7*k + 2*k + 95 = 0. Let s = k - 8. What is the highest common divisor of m and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 6, y: 8}. What is prob of sequence yt?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8094 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 10 = -4*c, -15*c - 2*k = -18*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 343786\/7 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 758, 1538, 2320, 3104?\nAnswer: 3890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 324 - -243. What is the highest common factor of t and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -40*c - 583. Let s be d(-15). Let h(y) = 9*y + y - 43 + 17*y**2 + 2*y**3 - 3*y**3. What is the tens digit of h(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88419094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*z - 28 + 70, -3*m = 2*z - 35. Suppose 0 = -0*v - 5*v - 3*p - m, -4 = 4*v + 4*p. Sort -2, -5, v, 0.\nAnswer: -5, v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:49 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*u + 5*b, 5*u + 3*b + b = 36. Suppose -k - 2*i + 700002 = 0, u*k - 2800002 = -2*i - 0*i. What is k rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 6*f - 36 = 0. Let j(m) = 5*m - 7. Calculate j(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -2 (b) -1\/2 (c) -0.231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + w - 3*w, 4*g = -3*w + 2. Suppose g*n + 66 = 4*n + 4*o, -3*o - 23 = -n. Solve 7*l - n + 1 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t - 3. Let i(b) = 9*b - 2. Let f(v) = 5*i(v) - 6*z(v). Let r(o) be the first derivative of -48 - 1\/2*o**2 + 3*o. What is 4*f(m) - 11*r(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/9))**(6\/7)\/(i*i\/i**3)**(-30\/7) assuming i is positive.\nAnswer: i**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -467477.\nAnswer: 8\/467477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 1. Determine g(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z = -12*z + 5, 12*k + 13*k - 22*k = 3*z + 48 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7648.319 micrometers in meters?\nAnswer: 0.007648319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -2*z + 4, 7 = z - 3*r. Let b = 48.1 + -33. Let h = b - 10.1. What is the second smallest value in -5, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n - 8 = 0. Let m = -3.31 + 3.31. What is the nearest to 2 in -0.4, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*k**2 + 0 + k + 27*k**2 - 2 + 4 - 37*k**4 in the form x*k**2 + m*k**3 + w*k**4 + f*k + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 3*p - 0*s + 3*s, 0 = -3*p - 5*s + 125. Calculate the remainder when 77 is divided by p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 0.06. Let b(a) = -a**2 + 9*a - 7. Let o be b(8). Suppose -6 + o = -5*x. Put -1, t, x in ascending order.\nAnswer: -1, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 38. Let l = x - -70. Let p = l + -27. Solve -24 = -3*m - 3*z + 6, -5*z = -p*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 31, 46, 61, 76?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*f**2*n - 3090*f**2 + 4*f*n with respect to n.\nAnswer: -171*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -1 - ((-11 - -74) + -29 + -24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*i + 124, 2*b = -3*i + 5*b + 87. Let p(a) be the first derivative of i - 9 - 7*a**3 + 5*a - 60. Find the first derivative of p(s) wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.29193 weeks to hours.\nAnswer: 4753.04424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/2*3384\/(-3290)*(-21)\/24.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8068756351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*3 - (4 - 3). Suppose -3*j + 6*j = -i*n + 603, 2*n - 250 = j. Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 4. Let o(f) = 13*f - 16. Give 2*o(c) + 9*r(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 5*i**4\/4 + 70*i**3\/9 + 35*i**2\/6 - 20*i\/3 - 89. Factor s(h).\nAnswer: 5*(h + 1)*(h + 4)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5925.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2830222, 5660442, 8490662, 11320882, 14151102, 16981322?\n\"Answer: 2830220*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78591693314 and 91.11.\nAnswer: 78591693405.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 2, s: 1, w: 1, y: 2}. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c - 1. Let w(q) = 3*q**3 + 8*q**2 + 2*q + 12. Let k(x) = 2*h(x) + w(x). Is k(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120175, 120158, 120139, 120118, 120095?\nAnswer: 120070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 13\/2 (b) 4 (c) 0.0701 (d) 0 (e) 0.3 (f) 1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386137 take away 6324915?\nAnswer: -5938778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 1)*8\/16. Suppose -2*l + 7*l = 2*s + 135, -4*l + 96 = -v*s. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + 2*h - 4. Let l be w(4). Let a = 89437 - 89431. Solve -5*t = -l - a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**3 - 4*t**3 + 5*t**3)*(-t**2 - 4 + 4)*(1 - 2 + 0).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 492404?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:40 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10) - 156\/(-30). Find the third derivative of -2*v**5 + v**5 - 3*v**5 - 6*v**t + 10*v**2 wrt v.\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/489852 and -37\/925276?\nAnswer: 8327484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4044092320 to the power of 1\/4, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 18 - (0 + -3) - (-5 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197c508 (base 14) in base 6?\nAnswer: 1131342140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34080521 and -524.3?\nAnswer: 34079996.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 18 = 19*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.90605 + -23.9. What is d rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.45 + 10. Let x = -0.3341 + -0.2269. Let f = c + x. Is f at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -225 - -114. Let y = n + 114. Let v = 0.8 + -0.3. Put 0.1, y, v, -2\/7 in descending order.\nAnswer: y, v, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5.4, 2, -12, -25 in descending order.\nAnswer: 5.4, 2, -2, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -974.9 + 975. What is the nearest to a in -3, -2, 38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10214 by 6.\nAnswer: 5107\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 8*y**2 + 8*y - 2. Let d = 70 - 63. Determine f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 14046.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17275207 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/(33891\/260)*9\/15?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -11*r**3\/3 - 31*r**2\/2 + 37*r. Let l be w(-3). What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9\/(p*p*p\/p**2) assuming p is positive.\nAnswer: p**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110 (base 4) to base 6.\nAnswer: -5044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 12*s + 13. Let t(z) = z**2 + 11*z - 13. Let r(n) = 4*p(n) + 5*t(n). Let w be r(-7). Let c = 33 + w. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v - 15*v + 19*v**3 + 2*v**2 in the form j + i*v + r*v**2 + x*v**3 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 8, e: 1, o: 2}. Give prob of sequence ze.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5.7 (b) -6\/31 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = h - 55. Let k = -60 + 63. Suppose 2*n + 38 = 3*l, 27 + 1 = k*l - 4*n. What is the greatest common divisor of l and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 329151913 to the nearest one million.\nAnswer: 329000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oeoeoeoooeoe.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 6*k**2 + k + 5. Give f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, -1, -2, -3, -4?\n\"Answer: -n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f + 20. Let s(u) = u + 20. Let r(a) = 2*m(a) - 3*s(a). What is r(6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u + 5. Is 1\/8 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/2*(-1 + 3). Let t(s) = -s**2 - 4*s - 6. Calculate t(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*h + 25, -1428*z - 3*h + 10 = -1430*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/5618 - -1231746\/2809. Let q = x + -430. Let v = -515 + 1067\/2. Find the common denominator of v and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/3)\/4*51\/68?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6545 + 6545.2703. Let k = 0.268 - o. What is k rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1016, -78, -1, -4 in decreasing order.\nAnswer: -1, -4, -78, -1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 35*q - 175. Calculate the remainder when 73 is divided by m(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26454.222 months to centuries.\nAnswer: 22.045185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 250 and -513540.\nAnswer: -128385000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1453\/2914 - 2\/1457. Let z = -0.06 + -0.14. Which is the nearest to f? (a) z (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p. Let u(b) = -77*b. Let n(v) = -9*a(v) + 2*u(v). Let s(h) = -9*h + 7*h - 7*h. Give 3*n(w) - s(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286 - 249.1. Let t = 8.9 - z. Sort -3, t, 2\/15 in decreasing order.\nAnswer: 2\/15, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -615198864*z**3 - 1152690*z**2 + 153*z.\nAnswer: -3691193184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = 4*x. Let o be 2\/4 + x\/(-2). Suppose -3 + o = -2*n. Which is bigger: -1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -27 (b) 128 (c) -4\/7 (d) 1.585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 59*o**8\/168 + 2*o**4\/3 - o**3\/6 - 36*o**2 - 2. Find the second derivative of w(z) wrt z.\nAnswer: 2360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64462 + 64501.041. Let p = 39 - g. What is p rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c - 486*c + 20194 = -126*c for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:04 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1405788 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 2.27, 4\/7, 3, 4\/77?\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, r: 10, z: 4}. What is prob of picking 1 n and 2 r?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-15) + (-82)\/(-123). What is the smallest value in 0.2, -5\/2, d?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.043846 - -0.0337. Round t to four decimal places.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*v - 38 = 6, -2*g - v = -10. Calculate the highest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 115699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o - 83. Let j be l(17). Solve 2*g = -2*t + 18, -j*g - 2*t + 23 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 241\/(-2)*(-38)\/95*10. Is y <= 473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3 - 4290*a**2*u - a*u - 63*a - 96770274*u with respect to a.\nAnswer: 12*a**2 - 8580*a*u - u - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1205 - 4094*s - 1236 + 2441 to t*s + n and give t.\nAnswer: -4094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03686 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 3*y - 59 = 0, -3*y = 4*c - 24962 + 24999 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -14.3. Let g = -0.1 - 0.9. Which is the closest to w? (a) -3\/5 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -34 - -29) + -24 - 9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441802 is divided by 129.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**5 - 184*t**4 - 398976*t**3 + 4802816*t**2 - 19229696*t + 25651200 = 0.\nAnswer: -300, 4, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 e when four letters picked without replacement from eaaeeaaaeeaea?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-14) + 3\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 + 0.29. Let v = 0.3 + o. Round v to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyvyvyvvjvv. Give prob of picking 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 3. Let r(c) = -c**2 + c - 1. Let m(x) = -3*r(x) + w(x). Let g(o) be the first derivative of -o**2 - 6*o - 347. Give g(m(b)).\nAnswer: -6*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -3*c**3\/2 - 4*c**2 + 3*c. Is b(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/6 - 7833754*w**2\/3 + 5222502*w = 0. What is w?\nAnswer: 0, 2, 15667506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*k**2 - 2137*k + 4 + 2221*k + 430*k**2.\nAnswer: (21*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7011247 to the power of 1\/2, to the nearest integer?\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151755 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561 = -10*p + 641 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2237451?\nAnswer: -2237444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63856.1m in centimeters?\nAnswer: 6385610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 + 4575*j**2 + 2583000*j + 294367500 = 0. Calculate j.\nAnswer: -210, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*o, -5*y + 1 + 5 = 3*o. Suppose 0*m + y*m - 9 = 0. Solve -m = -2*v - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.15*204.\nAnswer: 4518.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 5, z: 1, e: 6, x: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -116080, -114840, -112774, -109882?\n\"Answer: 413*y**2 + y - 116494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1902664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 31*r**2 + 59*r**2 - 4*r**2.\nAnswer: 95*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 16 = 2*r, 386*o = 385*o + 3*r - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53da - -3958?\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10411 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 58156*v - 1. Let q be d(1). Suppose 214*l = 211*l + q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -141.75, 2\/5 in increasing order.\nAnswer: -141.75, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*n - 70*n - 3 - 157*n)*(n**3 + 0*n**3 + 0*n**3).\nAnswer: -126*n**4 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 7\/5, -20, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**2 - 47*l + 156. Let j(r) = 5*r**2 + 23*r - 78. Let s(b) = -5*j(b) - 3*y(b). What is the remainder when s(20) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i - 10 = 5*p - 25*i, 0 = 2*i + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205 - 139. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 60 = -5*s - 0*c, -2*s + c + 9 = 0. Suppose 4*f = s*f - 21. Suppose -9*h + 30 = -f*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o**2 + 4*o + 6. Give g(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 12 - 8 - 2*y**4 - 5*y**5)*(-1 + 0 + 0).\nAnswer: 5*y**5 + 2*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -71\/20*a**5 + 0*a**2 - 65\/6*a**4 - 247*a + 0 + 0*a**3. What is the third derivative of y(b) wrt b?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let s be (-4)\/(-18) + 66\/(-54) + 4. Let j(l) = 4 + s*l**2 - 4. Give j(u(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6\/7, -9\/5, 38, 24\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(1372))\/((sqrt(4) - sqrt(36)*-6)*6)*-3.\nAnswer: -7*sqrt(7)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 1, a: 2, q: 2}. What is prob of picking 2 n and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78589 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2263.8 or 0.1921?\nAnswer: 0.1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -204, -1432, -4698, -11022, -21424, -36924?\n\"Answer: -170*d**3 + d**2 - 41*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 2249?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 221*q - 65. Let k(v) = -v - 2. Let j(o) = 4*o - 15. Let h(w) = j(w) - 6*k(w). What is -65*h(g) + 3*z(g)?\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2132\/984 + 1\/(-6). Let d = 1 + -1. Solve -5*n - r*h = h - 25, 3*h = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 3*c + 27*c - 7*c + 7 - 8*c.\nAnswer: 8*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.06 - -0.06. Let j = 1 + t. What is the third biggest value in j, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 3*l - 1506. Calculate c(-20).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 69. Suppose 7*m = -q*m + 9*m. Factor m*l + 0 + 3\/2*l**2 + 1\/2*l**4 - 2*l**3.\nAnswer: l**2*(l - 3)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*w - 35, -4*n + 5*w + 10 = -45. Suppose n*p - 12*p + 8 = 0. Solve 3*g + g = -r - 5, p = 2*r + g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 15240 (c) 1\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:51 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memeemm. Give prob of picking 2 e and 1 m.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537836?\nAnswer: 2, 13, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1677025 divided by -925.\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 53*s - 51*s - 8 = 0, 4*d - 24 = 4*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 3.8.\nAnswer: 0.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4498694 and 20912?\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 303\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 30*d**3 - 57*d**2\/2 + 44. Find the second derivative of p(b) wrt b.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*z - 4*z. Suppose z*q - 33 = 137. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 15*f**2 - 27*f - 180. Let d be b(-14). What is the nearest to -19 in -1, 4\/9, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -4*n + 0*n**2 + 0*n**3 + 5\/4*n**4 + 1. What is the derivative of k(h) wrt h?\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60438 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4)*(-8)\/10. Let k = 463 + -465. Which is the closest to 2? (a) k (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36873205 - -30417.5.\nAnswer: -36842787.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122654 is divided by 889.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -460 + 317. Let q = t - -201. What is the remainder when q is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56.499 in 1\/3, -4\/7, 0, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/84)\/((-107)\/20972).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -40, -89, -156?\n\"Answer: -9*z**2 - 4*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4 = 3*p + 72, 0 = -5*p - 2*j - 103. Let t = p - -32. Solve -1 = 5*v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/1)*(-60)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7338 times 1\nAnswer: -7338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 17 = x. What is the remainder when 49 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a year in months?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*a + 10*a - 177, -483 = -3*x + a. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - 4*j**5 + 5*j**5 + (-6 + 3 + 2)*(-3 + 3*j**5 + 3).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58*b**2*m**2 - 1644*b*m**3 + 86*m**3 - 540*m - 1 wrt b?\nAnswer: -116*b*m**2 - 1644*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 4*i + 1 - 2\/3*i**3 + 0*i**2. Let d(q) = -3*q**2 + 4. Let z(t) = 5*d(t) - 6*l(t). Differentiate z(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7584583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 69611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 - 4*6\/504. Which is smaller: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 5. Let y be l(5). Suppose y*o = -3*o + 90. Let z = o - 19. Calculate the lowest common multiple of z and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6601808*n**2 - 15678401 with respect to n.\nAnswer: 13203616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -810*h**2 + 56*h + 32 + 532*h**2 + 280*h**2 in the form s*h + x + z*h**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/70 and -25\/1598226.\nAnswer: 7991130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208748 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*r + 14044 + 7743 = 1843 - 320 for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d - 37*d + 14*d - 1 + 8*d to z + q*d and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7552 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*y, 50*r - 3*y = 49*r - 12. What is the remainder when 516 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-26)*b*b\/(b*b**(-2\/79)*b)*(b*b\/b**(4\/13))**(-28) assuming b is positive.\nAnswer: b**(-75340\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yppp when four letters picked without replacement from yqqyyqqpppypyqq?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -3. Let k = 7 + n. Differentiate 0 - 2 - 6*a - 2 + k*a with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 5, -4, -300, 53, -7 in increasing order.\nAnswer: -300, -7, -4, -3, 1, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12796\/(-5484))\/((-15)\/(-27)*3)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4286, 5, 0.2, -138, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23962247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*d, -3*g = -42*d + 39*d - 6 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (82\/(-4) + 1)\/(45\/(-840)). Suppose -r = 13*m + m. Are -3 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b + 3. Let s be i(0). Suppose -399 = -s*m - 4*m. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (13 + 4)) + (1 - 1 - -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358 + -346. Solve -73*a - g = -67*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 16*d - d - 21 - 2*d**2 + 34. Let m be v(8). Suppose -2*r + r + 5*a = 18, 5*r = 2*a + 2. What is the greatest common factor of m and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -1\/4, -0.1, -5 in ascending order.\nAnswer: -54, -5, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3 + 401321*a**2 - 760635?\nAnswer: 6*a**2 + 802642*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115989444 is divided by 403.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -9)\/2*(-155 + 0). Suppose -586 - y = -13*f. Solve -4*z = 69 - f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ollos?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*p + 46. Let v(y) = 1. Let z(g) = 10*g + 7. Let i(x) = 4*v(x) - z(x). Calculate the remainder when p is divided by i(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1528993677 and 0.61.\nAnswer: 0.7628993677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 177601056*x - 177601059.\nAnswer: 3*(x - 59200353)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y**6 - 28505854*y**4 - 1773*y**2 - 469*y - 20?\nAnswer: 600*y**3 - 684140496*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*t - 1689, -d + 3*d + 5*t = -1131. Let w be 2\/8 - d\/8. What is the common denominator of -55\/54 and (-7*3)\/(w\/7)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 - -0.08. Let a be (-15)\/10*8\/(-18). Let h = -1318 + 6594\/5. What is the nearest to -3 in j, h, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 0. Let r be (-4)\/8*164\/(-3). Let j = 27 - r. What is the nearest to s in j, 0.4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1621 = 2*q. Let h = q + -232. Does 30 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, g: 6, h: 4, l: 3, j: 3}. What is prob of sequence hgl?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129*2\/9*-3 - (-88 + -23 + 107).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6353 (base 10) in base 13?\nAnswer: 2b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + 16. Suppose 0 = z + z - 5*u + h, -2*z - 5*u + 13 = 0. Sort z, -1, 5, 3.\nAnswer: z, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 7\/390*x**5 + 0*x**3 + 0 - 27*x**2 - 1\/195*x**7 + 1\/52*x**4 - 1\/780*x**6 - 1\/1092*x**8 + 0*x. Suppose l(r) = 0. What is r?\nAnswer: -3, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, 6, -3.40346?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610 + 441 = 13*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025415235 to six decimal places.\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-38)\/76*5*24\/20\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 924 = -11*t. Let y(z) = -z**2 - z + 69. Let u be y(0). Let w = t - u. Are -9\/5 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 139184, 0.06, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 202.174 - 0.174. Let l = -207 + s. Let g = -0.3 + 0.2. What is the nearest to 2 in -2, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12655*z**4 - z**3 + 18*z**2 + z + 80932656 wrt z?\nAnswer: 50620*z**3 - 3*z**2 + 36*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 2, c: 1, l: 1}. What is prob of sequence bc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -253, -440, -661, -910?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/14*(-1)\/(-3). Suppose a*b - 99 = -3*k - 3*b, 3*b - 9 = 0. Calculate the remainder when 117 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t - 20 = 0. Let c = -1 + t. Let h be (-1 + c)*12\/(-8). Solve -4*u - 3 = h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 84 - 199*a - 86 - 150*a. Suppose -y - 2*m - 4 = 0, 3*y + y + 5*m = -7. Let v be g(y). Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 70*g**3 + 85*g**2 - 85*g - 85. Let s(d) = 21*d**2 + 4*d - 1. Let v(j) = -j**3 + 24*j**2 + 6*j. Let h(w) = -6*s(w) + 5*v(w). Give 6*b(t) + 85*h(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (0 - -13) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1826*q - 1275*q**2 - 1826*q + 21*q**2 - 1613*q**2.\nAnswer: -2867*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5684 - 5667 - 3*h + h**2 + 11355. What is r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.10229 and 46427?\nAnswer: 4749.01783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 12, -93, -304, -657, -1188, -1933, -2928?\nAnswer: -4209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**7\/630 - m**5\/30 - m**4\/6 - 4*m. Let p(d) be the third derivative of x(d). What is the first derivative of p(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845035651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 298956.\nAnswer: 13751976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19.0357263 microseconds?\nAnswer: 0.00000000022032090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssnnssssssss. Give prob of picking 4 s.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 - 3*c**2 + 3*c + 3. Let x(z) = -41*z**3 + 17*z**2 - 17*z - 17. Calculate 34*v(o) + 6*x(o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11257*a**3*b**2 + 47*a**3*b*q**3 - 2*a**2*b**2*q**2 + 98541*a*b**2*q**3 - 32*a*b*q**2 + a*q**2 wrt q.\nAnswer: 282*a**3*b + 591246*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94280051?\nAnswer: 809, 116539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68))**2 + sqrt(68)\/sqrt(4) + -1.\nAnswer: sqrt(17) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 + -103. Calculate the least common multiple of a and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 + 6*y - 6. Calculate o(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*p + j + j, -2*p + 9 = 3*j. What is the third derivative of q**6 - 5*q**2 + q**p - 2*q**6 + 4*q**6 wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190168 is divided by 63342.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -191*r**8\/168 - 791*r**5\/60 - 655*r**2. What is the third derivative of a(v) wrt v?\nAnswer: -22920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 13*o**3 + 57 - 105 + 48.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8095616 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let b(s) = -3*s**2. Let o(v) = -3*v**2. Let c(j) = -3*b(j) + 2*o(j). What is c(r(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*l**2 + 7*l wrt l?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 2. Let j(o) = 6*o + 11. Let l(h) = 4*j(h) - 22*x(h). Let k(v) = 3 + 25*v**2 + 14*v**2 + 1078*v - 2145*v + 1067*v. Determine k(l(z)).\nAnswer: 156*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444\/84 - (-2)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*u + 3*u + 4 = 0, -2*h - 2*u + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o + 815. What are the prime factors of h(34)?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 14*t**2 + 97*t + 38. Let s be q(-19). Suppose -4*v = -4*x - 20 - 16, -x - 5 = s. Solve -5*h + h + v = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:49 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*z + 3580721, z = 17 - 24. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 29 = 2815*f - 2814*f + 14, -4204 = 100*o + 4*f for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -103*z + 1151. What are the prime factors of f(5)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 + 12002*m\/5 + 36012001\/5.\nAnswer: (m + 6001)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47110 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -5*w + 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*q + 125*q + 330 + 1425 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.01 + 0.01. Let p = 25 + -28.2. Let w = p - -3.5. Which is the second biggest value? (a) w (b) d (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710.376ng in kilograms?\nAnswer: 0.000000002710376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1213\/132 + (-60)\/550*(-265)\/477.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 217 = 230. Let a = n - 82. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139642313.5 to the nearest ten thousand.\nAnswer: -139640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -14047484 equal to -14047421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5531*r = 5568*r + 300 + 440 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*o + 2*w + 7, -2 = w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.37, 1.4, 1, -1, 0.7, -4?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + -3514?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 1 (c) 2\/3 (d) -3 (e) 4 (f) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 144*r - 4147. Calculate a(-50).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-eight fifths of a millimeter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2 - 1. Let a be x(-1). Suppose -2*w = 3 - a. Solve p - 7*o + w*o = 16, -6 = -p + 2*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9984 times 0.4?\nAnswer: -1.19936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, w: 4, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3 (base 15) in base 8?\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-7) + 4\/(-14). Suppose 2*l = z + s, l + 2*z = -2*z - 4. Suppose 4*h = 4 + 8. Solve -3*g + 18 = h*o, -4*o - 5*g = -l*o - 29 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -484, -1787, -4364, -8653, -15092?\n\"Answer: -73*i**3 + 20*i**2 - 16*i + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 610778 and 60872.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -31. Let p(n) = n**2 + 14*n - 3. Let m be p(d). Sort -4, m, -1 in ascending order.\nAnswer: -4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f - f**2 + 3 - 1\/3*f**3. Find the second derivative of j(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = f - 14, 3*f = -3*a + 18. What is the tens digit of a + (-2 - 3)*-13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 4*f. Let y(i) = i**3 + 3*i**2 - 1. Let p = -1 - -3. What is the remainder when y(f) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 - -1 - (-1 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 0*b**3 - 2*b + 2*b**2 - b**3 + 0*b - 7*b**2 - 6. Let f be g(-5). Solve q = f*z + 11, -14 = -q + 3*z - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/86995 and 137\/30.\nAnswer: 521970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -44*s. Let j(k) = 6*k. Give j(h(w)).\nAnswer: -264*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/20 + j**3\/6 + 3*j. Let v(o) = -2*o**3 + 2*o. Let m = 9 + -13. Give m*a(l) + 3*v(l).\nAnswer: -2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 593459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.668 + 0.032. Let m = 8 - r. Let p = -2 - m. What is p rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**10\/50400 - g**8\/5600 + g**6\/1200 - g**4\/6 + g. Let r(v) be the third derivative of t(v). Determine a so that r(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (1 + 26) - (2 + -3) - -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200120102 (base 3) in base 14?\nAnswer: c16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642363 a multiple of 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4173 is divided by 595.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*(c*c**8)\/c)\/c))**(-4\/31)\/((c*c**(-1\/20)\/c)\/c*c**(2\/7)) assuming c is positive.\nAnswer: c**(7237\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 3*h - 2*h - 4*h + 5*h - 1 - 2*h + 1 + (-3*h + 0*h + h)*(2 - 2 + 2) + 4*h - 3*h - 3*h)*((-2*h + 2*h - 3*h)*(5 + 0 - 4) + 0 - 3*h + 0).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6481176 to 2 dps.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 364, 672, 1216, 2074, 3324, 5044, 7312?\nAnswer: 10206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.76 times -8393179\nAnswer: 6378816.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/15))\/(s\/s**(1\/10)*s))\/(s**(-6)*s**10))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 + 339. Suppose 3*k - 3 = 0, 2*z - 5*k - x = -0*k. What is the remainder when z is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**6\/45 - i**4\/8 + 8*i**3\/3 - 5. Let l(z) be the third derivative of a(z). Differentiate l(s) wrt s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 4*t**2 - 3*t. Suppose 0 = -10*y + 120 + 20. Calculate the least common multiple of y and s(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**7\/420 + 11*o**6\/240 + 3*o**5\/40 - 119*o**4\/48 + 49*o**3\/6 - 137*o**2 - 34. Factor j(n).\nAnswer: (n - 2)*(n - 1)*(n + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*d + 3*b + 11, 0 = -5*d + 4*b + 42. Suppose 4*i = -2*o + 34, d*i - i = o + 11. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208743 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7361 to the nearest 100.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12 and 79\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*f**2 + 0 + 2*f**2 + 1.\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 7:29 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96 + 6*q**3 - 49*q**2 + 96 to the form f*q**2 + c*q + t + i*q**3 and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 - (-3 + -1 + -2)) + 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 569 + 11. Let b = t - 730. Which is smaller: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 3:32 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.648088 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. What is the second derivative of -17*m + 36*m**2 + k*m**3 - 36*m**2 wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2555412170.\nAnswer: 2, 5, 43, 241, 24659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (412\/12 - (-1 + 3)). Is a != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23325 is divided by 1934.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m. Let l(a) = 622499*a. Calculate h(l(t)).\nAnswer: -622499*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682373, 1364750, 2047123, 2729492, 3411857, 4094218?\nAnswer: 4776575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/60822 and 127\/1308.\nAnswer: 121644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -3*m. Suppose m = -2*p - 0*p + 834. Suppose -21*c = -22*c + p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942161424 to the power of 1\/2, to the nearest integer?\nAnswer: 30695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67 + 1220 + 398 - 122)*(3*q**4 + 0*q**4 - 4*q**4 + q**2) as g + i*q + z*q**4 + w*q**2 + p*q**3 and give w.\nAnswer: 1429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 35*m**3 + 67*m**2 - 304*m + 354. Let x(c) = -99*c**3 - 201*c**2 + 914*c - 1065. Let d(w) = -17*l(w) - 6*x(w). Factor d(p).\nAnswer: -(p - 62)*(p - 3)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 468 + -456. What is the greatest common factor of 108 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 92. Suppose -3*l + 6*l = -5*m + 3248, 2*l - t*m = 2158. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13568998.\nAnswer: 2, 6784499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*v - 29 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93973260 a multiple of 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -472*q**2*z**2 + 3*q*z**2 - z**2 - 2536 wrt q?\nAnswer: -944*q*z**2 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1261538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*l + 48 = 0, z + 2*l + 8 = 5*l. Let t = 28 + z. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2. Let j(h) = -3*h - 7. Let q(r) = 2*r + 3. Let g(a) = -3*j(a) - 7*q(a). Give m(g(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9720)\/594)\/(-90))\/(1*-7*1)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 73, 153, 267?\n\"Answer: 17*x**2 - 5*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.22 + 5.33. What is s rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {g: 3, i: 5, t: 1, d: 1, q: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:52 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20296*j = 20293*j + 5*i + 91, 2*j + 3*i + 45 = 4*j - 16 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -368, -773, -1868, -3995, -7496, -12713, -19988, -29663?\n\"Answer: -57*s**3 - 3*s**2 + 3*s - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23604586 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -78*s**2. Let f(u) = 67*u**2 + 71*u**2 + 68*u**2 - 204*u**2. Give f(v(d)).\nAnswer: 12168*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4288, -16872, -37846, -67210, -104964, -151108, -205642?\n\"Answer: -4195*c**2 + c - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = -2*g, 3*g + 17 = 4*g - 3*j. Suppose -g*s + 12 = -4*s. Let q(l) = l**2 + 3*l - 2. What are the prime factors of q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30225000 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 700?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by 611.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-140))\/(-1*39\/52).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 95462, 190927, 286390, 381851?\n\"Answer: -x**2 + 95468*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62197 and 2055863.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w - 26*w + 35 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4441629 months in centuries?\nAnswer: 0.00037013575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 + -0.12. Let o = -1 - p. Which is the second smallest value? (a) -5 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 6, h: 3, s: 4, f: 2, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 2, h: 3, i: 4, y: 2, e: 8}. What is prob of picking 2 e and 2 i?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-23088)\/(-27) + (-32)\/144. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7 = 2*s, 3*s + 2 = 3*i - 1. Suppose 48 = -189*z + 201*z. Sort -4, z, i, 52 in decreasing order.\nAnswer: 52, z, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1663 + -7622\/5. Let h = 7663\/55 - n. Suppose -h + 24\/11*z - 18\/11*z**2 = 0. Calculate z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 110 = 12*j. Let m = -12 + 26. Calculate the remainder when (-2)\/j + (-4140)\/(-50) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/59154 and 15\/9859?\nAnswer: 59154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1384 - 2234 = -2*c, 10*c - n = 18186. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -315 or 16.1?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n**3 + 0*n**3 + 2*n**3)*((-5*n - 6*n + 4*n)*(2 - 2 + 2)*(-10*n + 4*n - 3*n) - n**2 + n**2 - 2*n**2 + (-5*n + n + 2*n)*(2*n + 0*n + 0*n)).\nAnswer: 1560*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**2\/2 - 10*h + 1. Let t = -59 + 52. Calculate v(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)*w)\/w**(3\/19)*(w*w**(3\/13))**(-1\/2) assuming w is positive.\nAnswer: w**(-3896\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -280*h + 98*h + h**2 + 184*h - 26. Determine s(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = n + 15 - 2, -21 = 2*n + 3*u. Let s be (66\/n)\/((-2)\/24). Let z = s - 177. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010110100111011 (base 2) to base 4\nAnswer: 122310323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from tottqlooqltoqoqoqtll?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4732*a**2 + 260258*a + 117. Determine c(55).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3525*l + 48 = 3517*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1360 + -1309. What is the remainder when 356 is divided by a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (258 - 258 + 62*v)*(4 + 10*v + 7*v - 15*v).\nAnswer: 124*v**2 + 248*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105401 - 105385. Factor 208*o - 338\/3 - 236\/3*o**2 - h*o**3 - 2\/3*o**4.\nAnswer: -2*(o - 1)**2*(o + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4383 and 264441.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1410 divided by -269327.\nAnswer: 1410\/269327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462*t = 525*t + 53 + 73. Suppose -3*a + 5*a = -8. Sort -27, t, a, 5 in descending order.\nAnswer: 5, t, a, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (16\/4)\/4. Let g(p) = -8 + c*p - 12 + 10*p - p**3 - 9*p + 14*p**2. Is g(14) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62 + 127 + 7805*n + 64 - 7879*n with respect to n.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 3*t**2 - 4*t - 3. Let p be g(4). Let x(c) = c**3 + 6*c**2 - 2*c - 1. Let a be x(p). Suppose 6*k - 152 = -a. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/45 (c) 1\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4 = -6*c. Calculate the greatest common divisor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*m + 4070 = 4365 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 3, -4826.\nAnswer: -4826, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 8*p + 1. Let z be m(-8). Let n(j) = 764*j**3 + j**2 - j + 1. Let b be n(z). Let o = b + 105. What is o rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2.2. Let j = -9 + 11. Suppose -l + j = 4. Put -3\/4, v, l in ascending order.\nAnswer: l, -3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 1. Let n(m) be the second derivative of m**3\/6 - m. What is -c(z) + 3*n(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k. Let r be (-10 - (4 - 9)) + 42. Let c(y) = -25*y**2 - 23*y**2 + r*y**2. Determine c(q(o)).\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2658033, 10632173, 23922421, 42528777?\nAnswer: 66451241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*z - 6 = 0, -4*o - 4*z = -11 + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -72*h + 4. Let y be b(4). Let j = -158 - y. Let g(d) = -d**3 + 11*d**2 - 9*d - 4. Let u be g(2). What is the highest common divisor of u and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 270*f - 304*f - 510 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u. Let k(o) = -27*o**2 + 542*o + 5. What is y(k(n))?\nAnswer: -162*n**2 + 3252*n + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 77\/11 + (-148)\/4. Let c be 4 - (5*(-6)\/p)\/(-1). Let x = -1 + 1. Solve -4*y + 4*z + 28 = 0, -3*z + c*z + 8 = x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o = 3. Let w = 1 - o. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 932047941 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673855135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:03 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 225 + 110 = 0. Is 2\/((-2)\/(-1))*f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(2208\/46)*(-22)\/(-12).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/53555 and 21\/32.\nAnswer: 1713760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -105, -48, 3, -3 in increasing order.\nAnswer: -105, -48, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -294997500267 and 1.\nAnswer: -294997500266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(36\/(-39)) + (-6)\/4. Solve d = -2*w - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0770777 * 3\nAnswer: -0.2312331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1266572 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 73 - 132*w**3 - 69 + 110*w**3 + (-3*w + 5*w + 0*w)*(2 - 2 - w**2) - 4*w**3 + 5*w**3 - 3*w**3.\nAnswer: -26*w**3 + 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0 - (24 - 36)) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15984 and 1944?\nAnswer: 143856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/48))\/(c**19\/c))\/(c\/(c*c*c**(-16))*c*c*c**(-3\/23)\/c*c) assuming c is positive.\nAnswer: c**(-37369\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5332 and 209281.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1298 - -918. Let u = p - -377. Which is the closest to 3? (a) 0.3 (b) u (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -20) + (-1 - (5 + -4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2070181 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 8*q**2 + q + 4. Let m be o(-7). Suppose 6*g = -m + 1443. Suppose 8*u - g = 5*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 6. Let c be b(-7). Let m be ((-6)\/5)\/(c\/(-30)). Let h = -22 + m. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2 + 0*t + 5*t + 0*t. Let o(f) = 6*f + 3. Suppose -q - 7*z + 16 = -58, z - 10 = 0. Calculate q*g(i) - 3*o(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 3*c + 25, -25*g - 5*c = -30*g + 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -466.9975 + 475. Let w = -92 - -84. Let s = m + w. What is s rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.665597 milligrams?\nAnswer: 0.000005665597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78981 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14182, -2, 2 in descending order.\nAnswer: 2, -2, -14182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2 - 106*l + 1356*l + 7.\nAnswer: 1250*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -3, -5.\nAnswer: -91, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52183*x**3*z**3 - x**3 + 86*x*z**3 - 706 wrt x.\nAnswer: 313098*x*z**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -17 + (-1955)\/(-119) + (-232)\/(-14). Solve -p*j - 20 = 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8936.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + r + 340, 7*r - 2*r = -5*p + 600. List the prime factors of p.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Solve 0 = -4*s + r*l - 2, 0*s - 2*s - 6 = -5*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 34*d = -889872. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + sqrt(112))*-1.\nAnswer: -5*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*v**3 + 4*v**4 + 46*v**3 - v**2 - 23*v**3)*(-3 + 1 + 1).\nAnswer: -4*v**4 - v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -91683168373 minus 508?\nAnswer: -91683168881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11245 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 31*s - 5392. What is the remainder when 2717 is divided by k(91)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283498 is divided by 274.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -295.253943 to 2 dps.\nAnswer: -295.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63019.\nAnswer: 11, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 253, 524, 875, 1300, 1793?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137003970 or 137003974?\nAnswer: 137003974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**3 - 3*t**3 + 16 - 2*t**3 as f*t**3 + r + z*t**2 + l*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcec when four letters picked without replacement from ccceccgcccccegceccgg?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -3 + 3 + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 2*z + 0*z)*(-3 + 2 + 0)*(4*z - z - 2*z) as h + f*z**2 + j*z and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 + -0.12. Let r = -0.0076 + x. What is r rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -0*z, -2*z = n - 9. Let i(l) = -l + 1. Let j(b) = -3*b + 3. Let m(o) = -5*i(o) + 2*j(o). Determine m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + a. Let d(z) = -7*z**3 - 236*z - 1. Calculate -d(m) - 4*k(m).\nAnswer: -m**3 + 232*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-3\/5)\/l))\/l*l*(l*l**(-5)\/l)\/l*l**6*l**(1\/3) assuming l is positive.\nAnswer: l**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b5 - 2?\nAnswer: -3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -14. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 622?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -14. Solve u + 6 = -l*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 85079603?\nAnswer: 170159206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*q + 602, 2*a + 734 = 7*a - 3*q. Calculate the remainder when a is divided by 136.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m - 12. Suppose 3*s - 9 = -0*s. Let u be q(s). Let r be (-10)\/6*(-3 + 6). Put u, -1, r in increasing order.\nAnswer: r, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5998 - -5993. Put 25, i, 0.5, 3\/16 in decreasing order.\nAnswer: 25, 0.5, 3\/16, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/72768 and 85\/11652.\nAnswer: 70657728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9817.\nAnswer: 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -133075.5?\nAnswer: -1330755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x**2. Let y = 8 - 6. Suppose -5*l = 2*v - 14, -2 + 6 = 2*v. Let i(n) = -4*n**y + 4*n**2 - n**2 + l*n**2. Give i(a(q)).\nAnswer: 289*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235 - -95. Let n = 5339\/6325 - -7\/275. Find the common denominator of 6\/(-21) - (-982)\/q and n.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 24633?\nAnswer: 49266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -281782, -563567, -845366, -1127185, -1409030?\n\"Answer: -b**3 - b**2 - 281775*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13491*w + 13474*w - 223 - 491 = 0 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 2 - (-5 + 0). Let q(j) = j**3 - 3*j**2 + j - 3. Let y be q(m). Let x be (10\/(-4) - -3)*4. Solve y = x*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*h - 289*h + 133*h)*(4*h - 4*h + h**2).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 61. Let f(n) = n + 16. Let k(t) = 6*f(t) - 2*o(t). Calculate k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1043 - -2?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61256427 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 5107\/2 (c) 0 (d) -3\/5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 389*b - 4291. What is l(10)?\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from {j: 9, l: 4, d: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 133276041 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1224.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p - 7. Let q(x) = -x + 1. Let l(k) = 3*k + 1. Let w(y) = l(y) + 2*q(y). Give -4*f(s) - 10*w(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 4:58 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (4 - 1))*4\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15473*p = 16175*p - 73008 for p.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -15*s**2 - 7725617*s - 1030082 = 0.\nAnswer: -515041, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 685942.7 nanograms in kilograms?\nAnswer: 0.0000006859427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1565704 and 1230196?\nAnswer: 17222744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 - 11?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2554\/7 + 364. Let g = l - -43\/42. Which is smaller: g or 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 12458*r - 149448.\nAnswer: -(r - 37362)*(r - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -l - 23, 2*l - 25 = -3*s + l. Suppose -5*k - 2*n = -n - s, 0 = -3*k - n + 4. What is the tens digit of ((-119)\/35)\/(k\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 906 = 126. What is the tens digit of (1 + 10)\/(86\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(700)*5)**2 + 5.\nAnswer: 4480005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 124214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8*a = 4*c + 51, 5*c = 2*a - 34. Let v = a + -14. Suppose 3*o = -o - v*i - 4559994, i = -o - 1139998. What is o rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406501 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/13)*n**(3\/7))\/(n*n**(-19))**45)**(-48) assuming n is positive.\nAnswer: n**(-3541296\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 2)*(3 - 5 + 4) + (1 + 0 + 1)*(-1 - 1 + 3) - 2 + 0 + 0)*(-35*p - 243 + 243).\nAnswer: 280*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 9 = 3*c, 3*c + 6 = 5*l - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w\/(((w\/(w\/((w*w*w*(w*w*w**4*w)\/w*w*w)\/w)))\/w)\/w*w))))*w**(-10\/3)*w**(2\/5)*w**(1\/14))**(-5\/2))**(-7\/2) assuming w is positive.\nAnswer: w**(1289\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.2 times -0.73?\nAnswer: -19.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6 = -2*l. Solve -3*y = -4*a + 12, -y = -2*a + l*y + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 2) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 788\/3 - 255. Calculate the common denominator of -61\/3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567870?\nAnswer: 2, 3, 5, 23, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 9) in base 15?\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 33*c + 24*c + 16*c)*(-53*c**2 + 24*c**2 + c + 24*c**2) as b*c + u*c**2 + y + l*c**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*p + 79, -4*p + 0*p - 98 = 2*g. What is the tens digit of -3 + (p\/20)\/(1\/(-260))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 1781 (c) -3\/19 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -17*d - 109. Suppose 523 - 581 - 1160 = 203*b. What is c(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 2*p**2 - 6*p - 3. Calculate the remainder when f(-4) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f - 5*c + 50 = 0, 0 = 5*c - 25. Suppose -5*u = -2*x + 6*x - 945, -3*x + 950 = f*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-8) - -9) + (-36)\/6. Solve 109*z - 115*z + 24 = a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13560 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1055, -796, 1539, 6988, 16589?\n\"Answer: 173*n**3 - 952*n - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/470 (b) 4\/203 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184716)\/756 + 349 + (-14)\/(-6).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1238, -4915, -11046, -19637, -30694, -44223?\nAnswer: -60230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11919 + 12397. What is the lowest common multiple of 6 and v?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.59 - -0.41. Which is bigger: -0.4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 4, w: 4, y: 2, n: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(7) + sqrt(35)\/sqrt(5)) + -3.\nAnswer: -3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118989 - -0.2.\nAnswer: 118989.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 350\/(-28)*-4 + 16?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6a95 (base 13) to base 5\nAnswer: -434434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*z - 13*z - 18*z + z - 3 + 4*z - 4*z + (z + 2*z - 2*z)*(-3 + 5 + 0) to the form p + f*z and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -253154 + 439404. Round d to the nearest one thousand.\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357893411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - 48. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*d - 5, -19 = -i + 4*d + d. What is the second derivative of -3*a**3 + 41*a - 40*a + i*a**3 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22797793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -531\/7 or -75?\nAnswer: -531\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o**4 + 300*o**3 + 116*o**2 - 300*o - 88 = 0. What is o?\nAnswer: -1, -2\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 10) in base 15?\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48603?\nAnswer: 3, 17, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51078.0000033057 - 51078. What is s rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 6*r - 16, 5*r + 94024 = -p + 94015 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158475.6 litres in millilitres?\nAnswer: 158475600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zff when three letters picked without replacement from zfffzzfzzfffz?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2867, -5726, -8581, -11432, -14279, -17122, -19961?\n\"Answer: 2*h**2 - 2865*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 53. Let q be a(-16). What is the hundreds digit of (3 - (-1159)\/q) + (-8)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2 - (-55 - 2). Let x(m) = -m**3 - m**2 + m + 1479. Let g be x(0). Suppose -5*v + f = -g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*p - 5*u - 6, 22 = 4*p - 2*u. Suppose -c - p = 0, -4*c = -2*o + o + 20. What is the closest to 2\/7 in o, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15bd637 - -6?\nAnswer: -15bd631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 1. Let a(w) = 5*w - 14. What is a(x) + 4*o(x)?\nAnswer: x - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2101 + -132?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 + 3*f**5 + (-7*f**3 - 3*f**3 + 0*f**3)*((f + 4 - 4)*(-4*f + 5*f - 2*f) - f**2 + 0*f**2 - f**2).\nAnswer: 33*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 11*z**6\/6 - z**3\/3 + 11. What is the third derivative of p(k) wrt k?\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.024 + -0.324. Let f = 0 + -1. What is the closest to f in 1.8, r, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - (-2 - 10) - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -0.43. Let t = -118\/45 + 12\/5. Let f = 391\/5 - 78. Sort b, f, t in decreasing order.\nAnswer: b, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7)*(0 + 5 - 4)*(2*n + 0 + 0)*(-4*n**3 + 5*n**3 - 4*n**3).\nAnswer: -42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.196 + 0.004. What is the second biggest value in h, -0.2, -1, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4504.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7684*k + 39910. What is i(-5)?\nAnswer: 1490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 459990 + 6 + 12\/3. What is v rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -20. What is the smallest common multiple of 10 and (-4)\/s + (-408)\/(-18)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*n + 122*n = -25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 x, and 1 e when four letters picked without replacement from teexeetejexwheejh?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2667 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -361477041.8 rounded to the nearest 10000?\nAnswer: -361480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(108)*4*-6)**2.\nAnswer: 62204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16*z. Let h(y) be the second derivative of y**3\/6 - 3*y. Suppose 3*m + 5 = 2*m. Let g(k) = k. Let n(r) = m*h(r) + 6*g(r). Calculate n(t(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3404542 is divided by 528.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w + 32 - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 2. Let v(x) = -582*x**2 + 6*x + 11. Determine z(v(f)).\nAnswer: 2328*f**2 - 24*f - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 273*v**3 - 3*v**2 + 2*v. Suppose -18*h = -19*h + 1. What are the prime factors of b(h)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 8:18 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*(4 + (-2 - 2)). Let w(g) be the second derivative of 0*g**2 - 1\/6*g**4 + j*g**3 + 2*g + 0. Let v(d) = -8*d**2. Give v(w(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -721 - -725. Suppose 5 - 2 = b. Determine t, given that -t**2 + 5*t**2 + 11*t**5 - s*t**4 + 4*t**b - 15*t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1406296*d + 0*d**2 - 1406302*d + 2812598*d + 2*d**2 - 16*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.95 + -2.3. Let r = -5 - j. Round r to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2. Let v be 8 + -4 - (2 + 0). Let k(c) = 8*c**v + 10*c - 10*c. Determine k(z(i)).\nAnswer: 288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -68371d?\nAnswer: 683724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -43, -60, -75?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2. Let w(n) = 12 + 720 + n - 345 + 232. Give c(w(f)).\nAnswer: -5*f**2 - 6190*f - 1915805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 24*d - d - 7*d + 17*d + 0*d.\nAnswer: -5*d**3 - 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -62. What is the remainder when y is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5283 = -12*y + 1161. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78394, -97, 2, 0 in ascending order.\nAnswer: -97, 0, 2, 78394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (96 + -35 - 57) + (-1 - (-1 - -19))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/30 - 47*b**4\/24 + 20*b**3\/3 - 38*b**2. Let x be p(23). Solve y = -s + 2*y - 8, -4*s - x = -y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107211 - 1293\nAnswer: -108504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 15*x + 16 = -8*x - 2*x, -4*g + 80 = -0*g + 18*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/((-2)\/(-276)). Suppose 4*y - 80 = -4*v, -18 = 3*v - 4*y - c. What is the least common multiple of v and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 133 = -1524*s + 1548*s - 17, -3*r - 40 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -165. Suppose -z = -c + 2*r, 3*c + c = 3*r + 384. What is the highest common factor of c and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 142 - 18*s + 20*s + 25*s. Let p be x(-5). Solve z - 12 = -p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 109 + 40 + 4*c**2 + 28.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:52 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 16*t - 4. Let d(k) = 17*k - 5. Let i(h) = -2*d(h) + 3*f(h). Suppose 4 + 0 = 2*o. Is i(o) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57886 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d - 58360 - 2961. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Let o be (1*f)\/(15\/30). Is 3 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -229*w. Let q(a) = 5 - 3 + 0 + 2*a**2 - 2. Calculate q(o(i)).\nAnswer: 104882*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -311.9869 + -0.0131. Let t = 311.9 + j. Which is the second biggest value? (a) t (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 + -187.1. Let k = r + -13. Suppose 0 = d + 5, 2*s + 2*d = -s + 20. What is the nearest to 0 in k, s, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = 143*l - 4*k - 47, 3*k - k - 3 = -l - 0*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/5 + 172*t**4\/5 + 504*t**3\/5 + 100*t**2 + 166*t\/5 = 0. What is t?\nAnswer: -83, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -24. Let d = i - -14. Let f(o) = -3*o + 3. Let v(m) = -3*m + 4. Let z(q) = 6*f(q) - 5*v(q). Let r(c) = 5*c + 3. What is d*r(k) - 8*z(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20714990 and 21857886.\nAnswer: 3169393470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2. Let s(g) = 0*g + 2*g - 14*g + 0*g + 0*g. Calculate t(s(r)).\nAnswer: -576*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 27*f**2 + 50*f + 11. Let v be m(-25). Suppose g = -d + 31, -3*g - v*d + 77 = -16*d. What is the remainder when g is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*n + 3*y + 1 = 0, 2*y = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 38 = -0*w + 5*w, w + 37 = 5*a. Is -4\/7 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 10, -1, -2\/3, 0.2494?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 284885, 284911, 284935, 284957, 284977, 284995?\n\"Answer: -l**2 + 29*l + 284857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 46 + 18 = 0. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 9840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.54696 rounded to one dp?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*m - f + 8, -m + 1 = -2*f. Let t = -11.8 + 23.2. Let q = t - 11. Which is the second smallest value? (a) m (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -259591.885 to the nearest 10.\nAnswer: -259590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 43dc705?\nAnswer: 43dc707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**3 + 2. Let k be (-3)\/(-1) + (-7 - -7). Let u(q) = -4*q**3 - k*q**3 + 1 + 5*q**3. Calculate 5*a(f) - 8*u(f).\nAnswer: f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*2*12\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -458 + 20612\/45. Which is the fourth biggest value? (a) m (b) -2 (c) -4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8004 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) - 3*sqrt(11)*-2).\nAnswer: -28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atpf when four letters picked without replacement from {t: 3, v: 5, f: 5, a: 1, p: 5}.\nAnswer: 25\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**5 - 295*b**4 + 1875*b**3 - 2885*b**2 + 1300*b = 0. What is b?\nAnswer: 0, 1, 5, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*q = 568*q + 605 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-2) - (-185 + -6 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 8:46 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8584097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(16\/128).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12266*s**3*u - s**3 + 58*s*u**3 + 820*s + 3*u - 111713 wrt u.\nAnswer: 12266*s**3 + 174*s*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 14 - 19 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/3280 and 47\/200.\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -2, 2\/7, -1\/3 in descending order.\nAnswer: 2\/7, -1\/3, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b5 (base 15) in base 9?\nAnswer: -1688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*r - 10*r + 6*r)*(-2*r**3 - 3*r**3 + 4*r**3).\nAnswer: -2*r**4 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnq when three letters picked without replacement from nqiuiwqiiiininixnnxn?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -16*a**2 + a - 1. Let d(o) = -o**3 - 2*o - 50. Suppose 0 = 4*p - 2*p - 4*y - 20, 3*p + 5*y = -25. Let v be d(p). Let i = 51 + v. Give s(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -4720734.\nAnswer: 1\/174842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3 + 3)*(1 + 4 - 3 + (0 - 3 + 1)*(3 - 5 + 0))*(2*f**2 + 3*f**2 - 2*f**2).\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 837252*c + 18419550. Determine q(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 272*q**3 - 216*q**2 wrt q?\nAnswer: 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a. Let j(o) = -2*o**2 - 11*o + 6. Let b(u) = -3*f(u) - j(u). Give b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22111121 + 212111212?\nAnswer: 120000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -315 - 0\/(1\/1). Let b be (g\/25)\/(2\/(-10)). Let s = -45 + b. What is the least common multiple of 8 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154507.\nAnswer: 367, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/((-1)\/(-38)). Let m = i + -7. What is the greatest common factor of m and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -75. Suppose 3*x + 4*r = 25, 0 = -x - 3*x + 5*r - 8. Let h(k) = x*k + a*k - 9*k + 5. Let m(j) = -1. Calculate 4*h(i) + 18*m(i).\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*n**3 + 14*h**3 + 4*h**2*n**4 - 2*h**2*n + 2*n**2 wrt n.\nAnswer: -12*h**3*n + 48*h**2*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*k + k. Let t be 168\/k - (-4)\/10. Suppose -3*j - 18 = -t*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1359*l + 89599. Calculate r(66).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 35 + 72 = 0. Let z = 9 + -7. Suppose -z*c - 4 = 0, -3*c - p = -4*v + 39. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974 - 956 = -3*p - 3*s, -6*s - 64 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {i: 6, h: 3, k: 2, p: 7, g: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6910 - -6932. Solve q*g - 59 + 103 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-12))\/(10\/12). Let r(o) = -o**2 - o**2 - 5*o**q. Let p(n) be the second derivative of n**3\/3 - n. Determine r(p(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.806219 - -0.4.\nAnswer: -1.406219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -26*k - 499. Let w be t(-19). Sort -4, -338, w in decreasing order.\nAnswer: -4, w, -338","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*m + 4. Let j(b) = b**3 - 9*b**2 + 8*b + 3. Let f be j(8). Suppose -1 = f*i + m. Sort i, -2, 2 in ascending order.\nAnswer: -2, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(4\/(-24)). What are the prime factors of 36\/i*20\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y - k, -2*y - k - 10 = 3. Suppose -52 = -3*f - 19. What is the units digit of (f - 13)*y\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/39695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*s - 39*s - 5952. Calculate the highest common factor of 62 and s.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94 and 639106.\nAnswer: 639106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.806 times -4\nAnswer: 3.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f + w - 74, -3*w - 402 = -5*f. Let i be (1*9\/(-6))\/((-1)\/2). Suppose -12 = i*o - f. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*75\/(-10). Suppose 2*s = s - 3*d + 19, 0 = -5*s + x*d + 155. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.536 + -0.866. Let k = -4.77 + y. Sort k, 0.3, 2.7 in descending order.\nAnswer: 2.7, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*m + 80*m - 130*m.\nAnswer: -124*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 12 = 0. Suppose 28 = x*y - y. Suppose 4*c + 5*a - 4*a - 3 = 0, -3*c - 4*a - y = 0. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94731 divided by 1041?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Suppose 0*n - 4*n = -2*r - 48, 0 = -t*r - 4*n - 88. Round r to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244 - -245. What is the nearest to z in -3, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3552, -11353, -19154, -26955?\n\"Answer: -7801*q + 4249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/4 - 4*j**3\/3 + 3*j**2\/2 - 5*j - 8. Let x be 1*(0 - 1) - -5. What is the units digit of o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - -4 - 5) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76125359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1404 and 97\/3132.\nAnswer: 40716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 1. Let c(u) be the second derivative of 13*u**3 + 65*u**2\/2 + 17*u + 2. Give -c(z) - 65*w(z).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let k(a) = -5624*a**2. Determine j(k(f)).\nAnswer: -5624*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13538076829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 13*r = -92. Let o(h) = -5 - h**3 - 5 - 3*h + 6 - 3*h**2 - h. Determine o(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntttnn. What is prob of picking 1 t and 3 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 9. Let h = 2924 - 14622\/5. Put g, 3, h in decreasing order.\nAnswer: 3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729522161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -47. Suppose -3*q - 2 = -3*u + q, -u + q + k = 0. Solve -u*i + 11 = 4*d - 7, 5*d + i - 18 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 13, y: 3}. Give prob of sequence ppyy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 3557 = -2816 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54554 and 3.\nAnswer: 163662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23859595*p**5 - 2*p**2 - 815*p - 574 wrt p?\nAnswer: -1431575700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 3:52 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 + 48*v**3 - 1690*v**2 - 33096*v - 31360 = 0.\nAnswer: -35, -16, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -475 - -681. Suppose -213*a + 1050 = -b*a. What is the remainder when a is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*g = -28, 0*g + 4*g - 10 = j. What is the lowest common multiple of 10 and -2 + (1 - 1 - 120\/j)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 5) in base 7?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -73?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*q - 6. Let i(o) = q*o**2 + 2*o + 4 - o**2 + o**2 - o**3 + 0. Calculate i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (11427\/12 + 2)*(1 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 4*q + 4. Let b be 23 - 17 - (4 - 4\/2). Let o(h) = h**2 - h + 1. What is b*o(r) - p(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -11. Find the common denominator of ((-23)\/k)\/(1\/(-3)) and (-236)\/(-8) - 1 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/50 + g**4\/10 - 4*g**2\/5 + 4*g. Find n, given that k(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*i**3 - 1)*(-2*i + i - i) - 3 + 2*i**4 + 3 + 8853*i**3 + 2797*i**4 - 8853*i**3 - 4 + i**4 + 3 + 4*i - 5*i.\nAnswer: 2796*i**4 - i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.19? (a) -19\/3 (b) -4 (c) -1176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8125012 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (34\/5)\/(16\/130). Let f = -55 + i. Let p = 7934331\/13 + -610333. Sort p, 1\/6, f, 0.4.\nAnswer: p, 1\/6, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -280*g**2. Let j(q) = 8*q + 6*q + 4*q - 20*q + 7*q. Calculate j(l(n)).\nAnswer: -1400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -12.\nAnswer: 35\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*sqrt(720))\/(3*-4*sqrt(10)).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - g - 16. Calculate m(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(24)\/sqrt(2) - sqrt(12))\/sqrt(6) + (sqrt(2) - 5*sqrt(32) - sqrt(2)) + 2.\nAnswer: -20*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-335)\/1005*(-2 - 61)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -1 + 5)**2.\nAnswer: 64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 - 92*b**3 + 392*b**2 - 592*b + 288 = 0 for b.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (68 - 104) + 48 + 1 + -33?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/4 - (1 + 20\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19322.586 months to years.\nAnswer: 1610.2155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 23. Let p(y) = -y + 18. Let s be p(19). Let h be 50\/8 + s + (-6)\/(-8). Let i be j(h). Solve -6 = 2*d + 2*w, -d - w = 4*w + i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 - 924*a - 9540 = 0. Calculate a.\nAnswer: -10, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94871541 at least as big as 94871542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 1:10 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5172 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(3\/18). Suppose 6 = f*k - 14. Solve k*b + 3 = 2*v + 21, -8 = -2*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 + 3*s + 0*s + 0*s wrt s?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0, -11916, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 0, 2 in descending order.\nAnswer: 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + 4 - 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/8 - 63466235*w\/2 - 4027962985075225\/2 = 0 for w.\nAnswer: -126932470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1184*l - 4725. Determine u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 20 = 4*b + 7*z, -20 = -4*b + 4*z. Suppose a - 290 = h, b*h + 326 = -5*a + 1806. Suppose 6*r + a = 905. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**4\/8 + 2*n**3\/3 + 55*n**2\/2 - n - 15. Let l(b) be the first derivative of q(b). Determine l(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 - 2*r**2 + 2*r + 1. Let g(v) = -7*v**3 - 5*v**2 + 5*v + 2. Suppose -72 = -6*j - 12. Give j*p(q) - 4*g(q).\nAnswer: -2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000106791 to seven dps.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, z: 8}. What is prob of sequence zzzw?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 1856.968339.\nAnswer: -1856.568339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -42 + 4. Let c = 21 - b. Solve 10 = -3*s - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-7 + 4 + 0)*(2 - 2 - 2*r)*(0 + 1 + 0).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7872 is divided by 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3665 and 55.\nAnswer: 40315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649456 is divided by 80472?\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 2*y - 7. Suppose 5*r + 5*x - 110 = 0, 5*x - 7 = -3*r + 53. Suppose 0 = -3*t + 10 - r. Let l(s) = 2*s**2 - 2*s - 6. What is t*b(z) + 6*l(z)?\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8014382*t**3 - 2*t**2 - t + 479865 wrt t.\nAnswer: 48086292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3 = 3. Suppose f = -v + 13. Calculate the lowest common multiple of v and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -66160801.8 and 312.\nAnswer: -66160489.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4. Let g be l(2). Let n(o) = 5*o - 1. Let h be n(1). Suppose g*s - 4*s = 3*z - 496, h*s - 492 = -4*z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -649, 8 in ascending order.\nAnswer: -649, -7, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*m**2 + 4*m**3 + 3*m**2)*(15*m + 5*m + 7*m) + (-m + 3*m + m)*(5*m**3 - 12*m**2 + 12*m**2))*(8*m + 1 - 3*m - 3*m).\nAnswer: 246*m**5 + 123*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 14*d - 8. Let i be c(14). Let j be 4\/(-1) + (-1 - i). Solve 0 = 2*u - j*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356*o**5 - 2*o - 22 wrt o.\nAnswer: 7120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.8 + -11.68. Which is the nearest to o? (a) -0.4 (b) 4\/9 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + n + 1, 6*b - 6*n = 4*b - 171 + 217 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*p - p. Let m = -45742 - -45867. What is the greatest common factor of p and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 17*d**2 + 12*d - 3. List the prime factors of f(-7).\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 13. Let v be (1\/2)\/(g\/(-2)). Which is the third biggest value? (a) 3\/4 (b) v (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s + s - 2*s + 10 - 4*s. Let k be p(0). What is the smallest common multiple of (-172)\/(-20) + 4\/k and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -23*o - 919. Determine w(-43).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2 + (-9)\/(-6)). Let x be 249\/51 - (-14)\/119. Suppose -x*u - 25 = 0, -f + 3*f + w*u = -14. What is the smallest common multiple of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 + 6*x**2 + 3*x = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + -2.33. Let c = 2.8 + t. What is the closest to -0.1 in 3, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/56)\/(2800\/(-150) + 22575\/1800).\nAnswer: 2\/343","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8796554 and -8122.\nAnswer: -8804676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 146*o - 1. Let m(l) be the third derivative of -l**6\/120 + l**5\/30 + l**3\/6 - 4*l**2. Let k be m(0). Is p(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 832 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 187*i + 503*i + 2247*i.\nAnswer: 4*i**2 + 2937*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**2 + 0*i**2 - 2*i**2)*(-406*i + 1418*i + 212*i).\nAnswer: 7344*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from wwwwawrwbxrrbaabwy.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309789 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, 470, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61167?\nAnswer: 3, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/183775207?\nAnswer: 2\/183775207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 64*l**3 + 2*l**2 - l. List the prime factors of p(1).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -17. Let t(m) be the third derivative of 0*m**6 + n - 1\/210*m**7 + 0*m + 0*m**4 + 1\/30*m**5 - 2*m**2 - 1\/6*m**3. Factor t(r).\nAnswer: -(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**2 + 186*b**2 + 64*b**2.\nAnswer: 270*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 139*g**2\/2 + 10*g - 8. Is z(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 257066783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 11 + 19. Let x be (-74)\/(-12) + (-5)\/s. Suppose -3*i - x = -18. Let q(z) = z**2 - 4*z - 4. What is q(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-200)\/(-30)*(-3267702)\/36. Round z to the nearest one thousand.\nAnswer: -605000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/q**(-6\/11))\/q)\/(q*(q*q**21*q)\/q))**(1\/10) assuming q is positive.\nAnswer: q**(-118\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -10. Let p be (-21)\/(-6) - (-1)\/(-2). Suppose -5*t + 15 = -4*g, 4*g - p*t + 21 = -4*t. Sort g, w, 3 in descending order.\nAnswer: 3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-103.\nAnswer: -51.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(144\/90)\/(56\/21).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135041 + -80273. What are the prime factors of r?\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 59*t**2 + 4*t - 1. Let w be s(-2). Suppose -2*f + 4 = -3*f, -3*g = f - w. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.236 less than or equal to -9.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by -3.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069442 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2019*o*y**2 - 939*o*y wrt y?\nAnswer: -4038*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5\/13 + 4722*p**4\/13 - 1422728*p**3\/13 + 17174312*p**2\/13 - 35516544*p\/13 + 13642240\/13 = 0.\nAnswer: 1\/2, 2, 10, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, -5 in increasing order.\nAnswer: -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Suppose 0 = -3*q + 2*z + 10, -3 = y*q + z - 7. Suppose 10 = 2*b - 2*s, 4*s + 6 = -6*b + 3*b. Solve -b*m + 6*m + 16 = n, 18 = -q*n - 2*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 3. Let y be 6\/15 + 44\/(-10). Which is the smallest value? (a) y (b) -2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**5 - m**2 + 2*m. Let i(o) = -14*o**5 - 48*o**4 - 416*o**3 - 1548*o**2 - 2024*o. Let a(q) = -12*d(q) + i(q). What is p in a(p) = 0?\nAnswer: -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6949*h - 3496*h - 3233*h.\nAnswer: 220*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*s - r - 264, 5*s - 2*r - 419 = 0. What is the fourth smallest value in -2, s, -3, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/22*(-212)\/(-318).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.038 + 0. Let c = -0.238 + b. Let i = 236\/1419 + 2\/129. What is the fourth biggest value in -0.4, c, i, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 2, q: 2, t: 3, o: 2, c: 4}. What is prob of picking 1 o and 2 q?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16093699 and 204822.\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(450))\/(sqrt(6) + -2*sqrt(726) + sqrt(726)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26597733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*p = -30 + 341, -5*w + 5*p + 320 = 0. Let a(z) = w + 2*z - 54 - 30. List the prime factors of a(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - -77) + -2 + -3 - (-14 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 95. What is the tens digit of f\/(-4) + 1388\/8 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 2*s + 2. Let d(u) be the third derivative of 2*u**5\/15 + u**3\/6 - u**2. Calculate the remainder when i(4) is divided by d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -353*r. Let w(b) = 54*b + 48*b + 58*b - 217*b + 49*b. What is t(w(n))?\nAnswer: 2824*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q. Let k(u) = 1. Let o(n) = k(n) - m(n). Give o(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 546*m**2 - 56576*m + 169. Give u(139).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/8*-1*(-80)\/1440.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*v - 9. Let x(q) = -7*q + 3*q**3 - 4*q**3 - 14*q**2 + 7*q**2 - 5. Is x(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (-43 - -73)) + 57?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-3)*3\/(-1). Suppose 3*c + 66 = v - 15, c - 1 = 0. Is 0*2\/p + v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + a = 33, -5*a = -3*g - 0*g + 115. Let x = g + -32. Suppose -8*t = -5*t - x. Put 5, 3, t in ascending order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 3*q**7\/70 - 31*q**5\/60 + q**2 - 46. Find the third derivative of g(h) wrt h.\nAnswer: 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 20*w - 2. What is v(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 2796?\nAnswer: -2791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**2 - i**2)*(3*i - i + 0*i) - i**3 + 2*i**3 + i - 3*i**3.\nAnswer: 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -901308\/13 + 15113823\/26. Let p = 7674446\/15 - x. Let l = p + 989\/3. Calculate the common denominator of l and -89\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 17*v**3 - v**2 - 32. Let h(o) = -o**3 - 2*o**2 - 9. Determine -g(k) + 2*h(k).\nAnswer: -19*k**3 - 3*k**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3597079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*r**4*t**3 - 236*r**3*t**3 - 3*t**3 + 6281*t wrt r.\nAnswer: -144*r**3*t**3 - 708*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:43 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 289*o**3\/6 + 3451*o**2\/6 + 6764*o\/3 + 2888 = 0. Calculate o.\nAnswer: -76\/17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5810 * -86.1\nAnswer: -500241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5468 plus 650903858.8?\nAnswer: 650903859.3468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26044781 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = 0, 0*c = 5*c + 3*f + 14. Let j = c + 1. Let w = 1 + j. Calculate the highest common divisor of 4 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-54)*39\/65.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 28926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885 = 162*m - 3790 - 9026 + 417 for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -420215 - 145?\nAnswer: -420404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*w**3*x**4 + w**3*x**3 + 5*w**3*x + 882*w**2*x - 23*x**2 wrt x?\nAnswer: 72*w**3*x**2 + 6*w**3*x - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p - 3. Let y be r(5). Find the third derivative of -75*l**3 + 64*l**2 - 195*l**2 - 172*l**y + 5*l**2 wrt l.\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.8143104+1.77\nAnswer: 0.9556896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 0 + 1371 + -12. Let r = q + -1360. Let c = 5 + -9. Sort r, c, -5, -2 in descending order.\nAnswer: r, -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -375989 + 547012. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15470907 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(3*sqrt(76)\/sqrt(2) - (sqrt(38) - sqrt(456)\/sqrt(432)))\/(sqrt(288)*2 + sqrt(648)))**2.\nAnswer: 80275\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2+0.053111044348794\nAnswer: -1.946888955651206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -6, -1185, -20 in ascending order.\nAnswer: -1185, -20, -6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11))**(2\/23)*(d*d**2)\/d**(-2\/69) assuming d is positive.\nAnswer: d**(2311\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2428, 4857, 7286, 9715?\n\"Answer: 2429*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 - (2 - (-2 - -4)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -3, 5, -4, -5 in descending order.\nAnswer: 5, -3, -4, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 27 + 8 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 287460.5 centuries?\nAnswer: 344952600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/79 - 83\/158. Let b = 2 + -2.2. What is the closest to n in 3, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:04 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*w - 12, 2*w + w - 4 = -4*t. Let g be 999\/t*(-44)\/6. Suppose -g = 3*d - 12*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-18)\/(-25))\/((-1440)\/(-16800)))\/((-3)\/(-10)). Calculate the highest common factor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18296679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 12*j + 23 + 8 = i + 4, -7*i - 2*j + 65 = -2*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3696 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 8:02 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h - 30 = 0. List the prime factors of h\/(1 - 0)*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353 divided by -3?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10488690 divided by -152010\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = q - 4, -4*a + 29 = q. Let b = a + -13. Let x be 24 + b + (-9)\/(-3). Calculate the highest common factor of 60 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85.4 - 85.5. Let t = 23.989 - -0.011. Let m = 23.7 - t. Which is the third smallest value? (a) m (b) 5 (c) r (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*u + 20, -28 = -4*u - 13*k + 9*k. Suppose 7*b - 8*b = -3*h + 6701, -11166 = -u*h + 4*b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 123125 - 41044 - 41033 - 41048.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-396)\/(-11))*-6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053916667 to five dps.\nAnswer: -0.00539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 166*p**4 - 21447*p**3 - 55860661 wrt p?\nAnswer: 664*p**3 - 64341*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -7. Let n = -120 - -135. Let b = n - q. Sort b, 0.03, -1 in increasing order.\nAnswer: -1, 0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/((-6)\/(-45)). Let z = -2 - -7. Suppose -4*n + 3*c - 10 = 0, -6 + 3 = -z*n - 4*c. Sort n, o, 1 in decreasing order.\nAnswer: o, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 38037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, t: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -912, -913, -914, -915?\n\"Answer: -g - 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50124 and 83540?\nAnswer: 250620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -52*d**2. Let g(b) = 200715*b. What is t(g(q))?\nAnswer: -2094898583700*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 972418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58\/5 + -479\/40. Let q = -0.03 + -7.97. Let l = 9 + q. Sort 6, l, h.\nAnswer: h, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 236*w\/13 + 912\/13.\nAnswer: 2*(w + 4)*(w + 114)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftfvffvvvf. What is prob of picking 1 v and 1 f?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*z - 13 = x, -4*x - 3*z - 18 = 0. Let t = -7\/2 - x. Let g be 0 + (13\/6 - 2). Which is the second smallest value? (a) g (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 772*b**3*h*z - b**3*h + 4*b**3*z + b**2*z + 2*b**2 - 4*b*z + 12*h + 58 wrt b?\nAnswer: 4632*h*z - 6*h + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(0*f + 2*f - f) + (6 - 4 + 6)*(-f - 3*f + 0*f).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 311*w - 1209. Give c(107).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 17*h**2 - h. Give w(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1886563*o - 1 = -3*d - 1886562*o, -5*d = o - 31 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 3 + 3*z + 10*z**2 + 4 + 3*z**2 - 16*z**2. Let y(j) = -j + 5. Let n be y(0). Give v(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 7*c + 4. Let b be f(7). Let j be (1 - b)*20\/(-12). Suppose 8*u = 3*u - j*y + 10, 6 = 3*u - 5*y. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 5:33 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kggggggngggkgtgggtg. What is prob of picking 1 k and 2 g?\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, o: 5, r: 2, l: 1, u: 2, p: 1}. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05589889373 rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -874242 divided by -153.\nAnswer: 5714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 + 234. What is the units digit of (-106)\/53*-389*q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (78\/117)\/(1\/(-18)). Solve -3*q - 4 = -5*m + 20, 0 = 5*m - t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7018378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 8, -2 in decreasing order.\nAnswer: 8, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 309, 458, 605?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13759.93 minutes to seconds.\nAnswer: 825595.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161694*x = -161465*x + 8244 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9999 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s - 2. Let z(a) be the first derivative of 5*a**2\/2 - a - 619. Calculate 2*o(f) - 3*z(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 115050016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 24*m = -312*m - 25979 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*-1 - (1 + 3). Let r be (-2 - 32\/a)*(-28)\/(-16). Let v = -0.024 + -0.076. What is the nearest to 1 in 1\/21, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 5, 30034 in ascending order.\nAnswer: -1, 2, 5, 30034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6666)\/1515)\/((18\/(-20) + 1)\/(7\/14))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/77748 and 65\/717?\nAnswer: 18581772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 411668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = -4*g, 0*j + 3*j - 9 = 4*g. Is (-1)\/((-2262)\/753 + j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122201 - -495?\nAnswer: 122696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12820 - 6891. Suppose -o = -7*x + 301. List the prime factors of x.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 375453 and 297?\nAnswer: 12389949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/333 and (4\/14)\/(792\/13706).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, 293, 1142, 2787, 5492?\n\"Answer: 44*o**3 + 2*o**2 + 3*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2 - 42*c - 459. Let j(d) = -d**2 - 8*d - 92. Give 11*j(x) - 2*q(x).\nAnswer: x**2 - 4*x - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8 - -5) + 2 + (-495)\/(-200) and -51\/76?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592083 is divided by 2007.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -37*p**2 - 1116*p + 3462. Determine g(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1228200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147637960 by -20.\nAnswer: -7381898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 - 53. What is the remainder when c is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32380, -64752, -97120, -129484?\nAnswer: -161844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 2180724241.8.\nAnswer: 2180724241.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67185.98ml?\nAnswer: 67.18598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3496*0.04.\nAnswer: 139.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 3, j: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, 0.2, -6\/7, -218, -0.03, -5\/2, -30?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*j**3 - 2*j**5 - 722 + 722 + (0*j**3 + 3*j**3 + 0*j**3)*(j**2 + 2*j**2 - 2*j**2).\nAnswer: j**5 + 55*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 7*d**2 - 2*d - 2. Let i be (2\/4*-1)\/((-5)\/(-50)). Let c be l(i). Let m = c - -103. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*((-5 + -4*sqrt(17))*-2)**2.\nAnswer: 800*sqrt(17) + 5943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 12:14 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-195))\/((-4)\/10). Let p = -4 + 2. Let g be p\/(-1) + 2 + -2. What is the nearest to g in t, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 195, 12, 5 in decreasing order.\nAnswer: 195, 12, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37613668 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*o**4 - o**3 - 210*o**2.\nAnswer: -912*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412 by -14642.\nAnswer: 206\/7321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1331)\/242 - (-15812)\/8 is divided by 653.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 3:57 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/90 - 445*q**4\/18 - 198025*q**3\/9 - 88121125*q**2\/9 - 2015*q. Factor f(z).\nAnswer: -2*(z + 445)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -15. Calculate the remainder when (-28)\/(-1)*(-7 + 9) is divided by 1\/((d\/(-116))\/2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**4\/4 + b**3\/6 - 4*b**2 + 9*b. What is the units digit of z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 3*u + 1. Let x be y(2). Let p be (-2 - -1)\/(0 + x). Is ((p + 392)\/(-3))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 83656636.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2052 divided by -684.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2774, 2805, 2868, 2975, 3138?\n\"Answer: 2*g**3 + 4*g**2 + 5*g + 2763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 57860*j + 57742*j + 17 + (0 - 2 - 2)*(j + 5*j - 4*j) as v*j + b and give v.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (669 - 669 + 71*c**2)*(-5*c + 3*c + c) + 192*c - 2*c**3 - 28 - 192*c.\nAnswer: -73*c**3 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -31, -26, 15, 104, 253?\n\"Answer: 2*a**3 - 33*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -14.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - 262\/(-14). Suppose 2*u + 50 = 4*c, -5*c - 2*u + b + 48 = 0. Calculate the greatest common factor of c and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 5, -1.4, 3\/7, -3\/7 in ascending order.\nAnswer: -1.4, -3\/7, 1\/3, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 2. Let h be v(-4). Let o(x) = -2*x. Let a be o(h). Suppose -94*j + 282 = -0*j. Solve 0 = t + j*t + a*z - 24, 4*t - 2*z = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = 1, 4*t - 3*d - 151 = 0. Let j = 7 - 5. Let i(l) = -37*l + t*l - j*l**2. Let r(k) = 39*k**2. Determine i(r(v)).\nAnswer: -3042*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/(-288))\/((-4)\/3)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-484)\/4)\/(385\/(-35))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/60 and -141\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3758292 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 1. Let t be h(1). Let v be (-6 - -4)*t\/(-2). Suppose -i - v*i = 2*x - 187, 3*x = -5*i + 188. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1713*o + 22279. Determine s(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/14)\/10*-14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100020042 (base 6) in base 3?\nAnswer: 10011110120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 10. Let d(x) = x**3 + 12*x**2 + x + 6. Let a be d(-12). Let m be 0\/(2\/a*(-30)\/10). Solve m = -v*l + 14 + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeqqqqeqeq. What is prob of picking 2 e and 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2*21\/(-7). Which is the third smallest value? (a) o (b) 0.2 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.3. Let h = y + -0.7. Let z = 6.2 + -1.2. What is the closest to -0.1 in 0.1, z, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 371*v - 1857. What is w(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1035 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232\/2007 - 1\/223. Let m = 11\/18 - p. What is the second smallest value in -1\/4, -4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/44 + (16038\/(-4))\/1. Let c = -12100\/3 - p. Let f = -853\/5 - -5323\/30. Calculate the common denominator of f and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -2272333?\nAnswer: 2272327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2852, 4844, 8164, 12812, 18788, 26092, 34724?\nAnswer: 44684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 0, 5*h - 3*c - 80 = 0. Suppose 0 = -21*z + h*z - 30. What is the units digit of 1 + 153 + (-6 - z - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 12:38 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-33 + 93 - 39) + 0 + (-7 - -2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/320 and -109\/1024562?\nAnswer: 163929920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -148631 divided by 17\nAnswer: -8743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 25*d**2. Let b(a) = -a. Let i(c) = -c. Let z(p) = 7*b(p) - 6*i(p). Calculate z(w(s)).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = 3. Find the second derivative of m - t*m**4 - 4*m**2 + 4*m**2 wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*s + 3, 2*s - 8*t - 15 = -3*t. Suppose -5*b + 4*m + 20 = s, b = -4*m + 14 - 10. What is the nearest to -0.1 in -3\/7, 14, b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2000)*1)\/(sqrt(324) - (sqrt(324) + sqrt(324)*-1*-1)))**2.\nAnswer: 2000\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 182*v**3 - 8314*v**2 - 23250*v.\nAnswer: 2*v*(v - 125)*(v + 3)*(v + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8009\/5 + 24017\/15. Is 1248 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6000)\/(-3400)*(-15334)\/(-205)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 17*j - 6. Let l be -3*(-1 + 4 + -2)*j. Suppose -22*h + 19*h = -l. What is the least common multiple of 7 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1328 divided by -1.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (56\/12 - 3)*8\/60\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-23))\/(((-2)\/(-2))\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 518 and 204610?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -595, -943, -1291?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 5*w**4\/12 - w**3 - 8*w. What is the second derivative of p(o) wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {o: 1, g: 6, m: 5, a: 4, f: 4}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 17*l + 19*l + 248, -5*u + 5*l + 260 = 0. Calculate the common denominator of ((-112)\/14 - -6)*97\/u and 1\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648 - 68*b + 2570 - 641 - 641 - 640.\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 10*o**2 + 8 - o + o - 3*o**2 + (-o + 2*o - 3*o)*(4*o - o - 4*o) + 3*o**2 + o**2 - 2*o**2 - o**2 + o**2 + 2*o**2.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + c)*(-3*c + 0*c + 4*c) + 6*c**2 - 10*c + 10*c + 4*c**2 + 3*c**2 - 5*c**2 + 2*c - 2*c - c**2 + (1 + 2*c - 1)*(-c + 0*c + 3*c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17, 53, 111, 191, 293, 417?\n\"Answer: 11*a**2 + 3*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2 - 3*r - 8. Let z be o(-12). Round z to the nearest ten.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 689*w + 78552. Calculate s(-114).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 12480?\nAnswer: 12480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14*l - 15*l - 80 = 0, -5*l - 62 = 2*y. Let p(x) = -x**2 - 26*x + 63. What is the least common multiple of 42 and p(y)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3272 = -v - 3188. Calculate the remainder when 404 is divided by v.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*r = 807*r - 288 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110004 is divided by 6110.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493010 is divided by 62?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*z - 55. Solve -4*a + 3*u - 4*u = 19, a + u = -z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 9*j - 2. Suppose -2*w + h + 2*h + 10 = 0, 34 = 3*w + 5*h. Let a be y(w). What is the highest common factor of 30 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3772.344s?\nAnswer: 62.8724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 21. Which is the smallest value? (a) -2 (b) -11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -0.28. Let j = 0.14 + r. Which is the nearest to -1? (a) j (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13228.154799 to the nearest integer.\nAnswer: -13228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -2\/103 (c) 0.3 (d) -4 (e) 1\/3 (f) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 663414407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 + 19*f**2 + 4*f. Let y be a(4). Let x(w) be the first derivative of -5\/3*w**3 + y*w + 5\/2*w**2 - 1. Find the second derivative of x(o) wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3108 or 3042?\nAnswer: 3108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -0.5, 1 in descending order.\nAnswer: 1, -0.5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 49 + 59 = 0. What is the lowest common multiple of 2 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 3*j**5\/160 + 1473*j**4\/32 + 723243*j**3\/16 + 355112313*j**2\/16 + 17*j - 15. Factor h(u).\nAnswer: 3*(u + 491)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 907\/420 - 15\/7. Let u(f) be the third derivative of 0*f**4 + 0 + 0*f + 0*f**3 + 1\/60*f**6 + h*f**5 + f**2. What is the third derivative of u(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1073238*j - 2087781 wrt j.\nAnswer: 1073238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 15, i: 4}. What is prob of sequence iii?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:16 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21033 and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(-4*sqrt(1872) + sqrt(1872))**2 + 1 + (sqrt(1872)*1)**2 + sqrt(1872) + 3.\nAnswer: 12*sqrt(13) + 86120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**8\/840 + q**7\/84 - q**6\/45 + 23*q**3\/2 - 62*q**2. Let y(w) be the first derivative of r(w). What is a in y(a) = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.9 * -3\nAnswer: -101.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -328, -475, -622, -769, -916?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 5120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000275 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 1\/616, -208 in descending order.\nAnswer: 1\/616, -0.8, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-114045)\/12 + -6)*-4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*p + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256067 is divided by 128020?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-1)\/(-1)) + 1. Let a = w + 2. Are a and 1\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i = -30*i - 22*i + 5376. Let j(m) = m**3 - 64*m**2 - 3*m + 198. What is j(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - -21. Let h = -40 + s. What is the nearest to -1\/3 in h, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3*(-4)\/(-348)). What is the greatest common divisor of 3683 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -253299 at most as big as -253300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (444\/30*-5)\/(2*-3). Which is smaller: d or 13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 739*u - 6144. Determine g(8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 12*z**2 - 11*z - 87. Calculate the least common multiple of q(-8) and 1464.\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1 (c) -0.25 (d) 3 (e) -2\/191\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22167398 is divided by 305.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.12 + 0.12. Let r = -6\/661 - -3839\/58829. Let y = r - 243\/1157. Which is the smallest value? (a) q (b) 2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let j(g) = 60*g. Determine 2*j(o) + 88*s(o).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 8*i + 2*i = -3*i - 18, 0 = 4*i - 24 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 16531?\nAnswer: -16529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (318*9)\/((-12)\/8). What are the prime factors of (-4)\/14 - b\/63?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = 3*q. Suppose -18 - 3 = 3*b. Let i = b + q. Let f(l) = l. Let o(g) = -4*g + 1. Calculate i*o(k) - 6*f(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5850, -11635, -17430, -23241, -29074, -34935?\n\"Answer: -g**3 + g**2 - 5781*g - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 60 = 5*f. Solve 2*d = 3*d + f*g + 22, 3*g = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Let x = 3298 + -3288. Suppose -2*l - f = 0, -x = -3*d - 4*l + 3*l. Solve -h = d - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336556789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 11*o = 84*o - 77175. What is the lowest common multiple of o and 336?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 1 - 2*z + 2*z)*(103*z**2 + 2719*z**2 + 419*z**2 - 358*z**2) to the form u*z + f + q*z**2 + t*z**3 and give q.\nAnswer: -2883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-175)*-7*3\/162?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2256 - 2259. Put 4, 0.2, 25, f in descending order.\nAnswer: 25, 4, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -17, -13, 1, 31, 83?\n\"Answer: c**3 - 4*c**2 + 5*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*r + 5*r + 2*r)*(-r + 0*r + 0*r) + 0*r**2 - r**2 + 4 - 3.\nAnswer: -31*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0, 49, 5\/2, -8\/5 in decreasing order.\nAnswer: 49, 5\/2, 0, -1\/6, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/1920 and 27\/224.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*n - 26*n - 36*n = 0. What is the second biggest value in -4\/13, n, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20199870.36 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - 22155?\nAnswer: -22224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 36 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -921756*g**2*s*t*v + 101*g**2*t*v - 288*g**2*t - g**2*v + 6*g*s*t*v - 8*g*t + 3*g*v - 4*t with respect to s.\nAnswer: -921756*g**2*t*v + 6*g*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2758 + -2758.002308. What is y rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -6202 - (-2 + 7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2\/x*x*x)**(-1\/21))**(6\/5)*(x**(-1))**7\/((x**(1\/5)\/x)\/(x**(-1\/7)\/x)) assuming x is positive.\nAnswer: x**(-263\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1366 - -30077\/22. Calculate the common denominator of -13\/184 and l.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 3*l**2 + l - 4. Let x = 1 + 1. Let z be t(x). What is the biggest value in z, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - 7*u**2 + 26*u**2)*(-4*u + 0*u + 3*u) - u**3 + 0*u**3 + 2*u**3 + (u**2 + 2*u**2 - 2*u**2)*(-41*u + 219 - 219).\nAnswer: -56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2450) + (sqrt(2450)*1 - sqrt(2450)))\/((sqrt(100)*-1)\/sqrt(10)).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 81*o + 411. Let c be z(-6). Does -77\/2 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16311413*i - 2*i**2 + i**2 - 16311413*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31 from 5263049.\nAnswer: 5263080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 79. Let w = 26 + t. What is the biggest value in 2, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467407079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/4 - 3*x\/2 - 63\/4.\nAnswer: (x + 3)*(5*x - 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 5)*20\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 161619786*k.\nAnswer: 2*k*(k - 80809893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 313 + -312. Is 1\/((-1)\/h + (-36408)\/(-36402)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18083020817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*b - 113*b + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a**2 - 3*a - 1. Let j be y(-2). Suppose -3*x + 4*x - 7 = -g, -5 = 5*x - j*g. Suppose -x = -0*v - 3*v. Do -1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:47 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 + 2*b**3)*(2*b + 1 - 1) + 1 - 1 + 2*b**4 + 7 - 7 + 5*b**4 + (-4*b + 4*b + 3*b)*(5*b**3 + 0*b**3 - 3*b**3).\nAnswer: 17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x, 4 = -2*r + 4*x + 10. Suppose 0 = -5*s - 3*u + 10, -s - r*u = 6 + 4. Put 1, 6, -3, s in increasing order.\nAnswer: -3, 1, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206 + -2682\/13. Suppose 0 = 20*o + 11*o + 28*o. Which is smaller: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 5 = -113. Suppose 37*d - 71*d + 2*d + 2*d**3 + 15*d**2 + v + 7*d**3 - 6 = 0. What is d?\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23118 and -17.\nAnswer: -393006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -8 - (-4 - 4632\/6). What is the greatest common factor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3688*k = -6008*k - 197200 for k.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 5) to base 4.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/7))**(-44)*(a*a**(-1))\/a*a*a\/((a**5*a)\/a)*(a**(-1\/2))**(8\/7)*(a**(-6)\/a)\/(a*a*a**(-6)*a) assuming a is positive.\nAnswer: a**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**2 + 0*y - 80\/3*y**3 - 125 - 79\/24*y**4. What is the derivative of w(s) wrt s?\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 13*v - 48 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.2, -5, -2\/113, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -54. Let a = -31 + q. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6))\/((-1)\/10). Suppose -5*m - 45 = o. List the prime factors of ((-16)\/m)\/((-1)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -1.233.\nAnswer: -0.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from iggfkhfq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - m + 1. Calculate c(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1388*d**2. Let y(h) = 22510*h. What is y(g(f))?\nAnswer: -31243880*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4193538 and -5\/11?\nAnswer: 46128918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**6\/120 - o**5\/30 + o**4\/24 - 3*o**2\/2 + 4*o. Let l(y) be the first derivative of u(y). Factor l(s).\nAnswer: s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2 - 20860*q - 66104838 = 0.\nAnswer: -2547, 12977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 5, f: 1, y: 2, h: 8}. What is prob of sequence yhy?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-1)\/((-1)\/1). Let k(r) = r**w + 0*r**2 + 3*r**2. Let g(f) be the second derivative of -f**3\/6 - 5*f. Calculate g(k(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 46*i**2 - 13003*i + 8712. Calculate f(282).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 367305941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/702946 and 35\/18.\nAnswer: 6326514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Solve 0 = u*w - 12, -3*d = w + w - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 1:47 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11b67 (base 13) to base 6.\nAnswer: 411222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 77 - 89. Is (4615\/(-15) + 3)\/((-4)\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 43906856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -235, -440, -715, -1054, -1451, -1900?\nAnswer: -2395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/4, -2\/5, -13.34?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*r - 0*r - 104497, 4*r - 104503 = b. Let f = b - 5509. What is f rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/2*u - 1473\/4*u**2 = 0. Calculate u.\nAnswer: -2\/1473, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmord. Give prob of sequence zm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -9\/4*i**4 - 3*i + 0 + 24*i**2 - 1\/3*i**3 + 67\/30*i**5. What is the second derivative of t(k) wrt k?\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 8039*q = -8043*q + 26 + 15, -q + 15 = -r + 4*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 6*x. Let o(y) = -y. What is 4*l(c) + 24*o(c)?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i**2 - 39*i + 29. Let c(o) = 3*o**2 - 13*o + 10. Let u(k) = 7*c(k) - 2*x(k). Suppose 6*y - 26 = 46. Let v be u(y). Solve -h - h + 8 = v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.04 (b) -3 (c) -0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18677 - -98256. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 17*w + 111 = 111 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 125 = -55. What is the greatest common divisor of f and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*(-1 + 1))\/2. Suppose -4*t + 20 + 0 = j. Suppose 0 = -5*p - 5*o + 40, 0 = 3*p + p + t*o - 30. What is the highest common factor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = 4*r, 5*a - a = 4*r + 16. Suppose r = 6*l - 356 - 274. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 7*m. Let h be l(4). What is the highest common divisor of h and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 624*w - 1788*w)*(-1 + 1 + 3*w) + 2*w**2 + w**2 - 5*w + 2 + 4*w to p*w**2 + o + s*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5 + 295863*n**4 + 1183439*n**3 + 887573*n**2 - 1183440*n - 1183436 = 0.\nAnswer: -295859, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1576 - -4054. Is 130 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*q + 12, j + 5*q - 3 = -0*j. Suppose 0 = 5*u + 5*n - 20, 2*u + j*u - 3*n - 20 = 0. Which is the biggest value? (a) 0.4 (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 > 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i - 479311 = 290549. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z = 6. What is the second derivative of -6*f**2 + z*f - 2*f**3 + 6*f**2 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2283246 rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 12*s**2 - 26*s - 15. Let c be j(9). Let x(h) be the second derivative of h**5\/20 + 7*h**4\/12 + 2*h**3\/3 + 3*h**2\/2 - 3*h. What is x(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.055*10\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100101011100000011 + -100?\nAnswer: 1000100101011011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4088406, 8176824, 12265242, 16353660, 20442078?\n\"Answer: 4088418*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33927644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -38*q**5 + 133*q**4\/12 - 3*q + 344. Let d(v) = -23*v**3 + 4*v**2. Determine -133*d(c) + 4*n(c).\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/8823350 and -14\/1941137.\nAnswer: 97056850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -1, 40096 in descending order.\nAnswer: 40096, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/10231 (b) 3\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4628.9 in 0, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2643.94 - 2644. Put 1\/3, 8\/5, z, 1\/7 in ascending order.\nAnswer: z, 1\/7, 1\/3, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225941, -451849, -677757, -903665?\nAnswer: -1129573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -137, -204, -271?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 13 + (60 - 75) + 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 7:07 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:25 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -21. Let x = -333 - -337. What is the greatest common divisor of c and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.1, 3971, -0.2, 3, -83?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4, 2*d + 27 = 5*m + 4*d. Let q(u) = 3*u**3 + 34*u**2 + 12*u + 11. Let b be q(-11). Put b, -3, 3, m in decreasing order.\nAnswer: m, 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13398342*h**4 - 2*h**2 + 3*h + 13366134 wrt h?\nAnswer: -321560208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 32023233311?\nAnswer: 32023233312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a + 0 - 10*a**2 + 1\/12*a**4 + 13\/6*a**3. Let d be g(-7). Sort d, 1, -4 in ascending order.\nAnswer: -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/12 - (-226)\/(-12). Let n = 16 + j. Is (12614\/(-7))\/(n + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -29*v**6\/30 + 21*v**2 - 27*v. Differentiate r(j) wrt j.\nAnswer: -116*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -8, 87, -2, 2 in decreasing order.\nAnswer: 87, 6, 2, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -6*y. Put -22, y, -5 in decreasing order.\nAnswer: y, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let x be 2\/(((-6)\/15)\/h). Let a be (-4)\/(-18) + 16\/9. Solve 3*c = -5*m - 37, 2*c - 4*m = x + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 = -49*p + 46*p - r, 0 = -p + 4*r + 157. Calculate the remainder when p is divided by 74.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3811, -20867, -51165, -94705, -151487, -221511?\n\"Answer: -6621*a**2 + 2807*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133878397?\nAnswer: 133878397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/1*(24\/(-12))\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 43. Let s(c) = -4 + 5 - v*c - c - c**2. Calculate s(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2336 is divided by 2328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**3 - 7664*x**2 + 194004*x - 186336 = 0?\nAnswer: -1941, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6285247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(132)*2 + sqrt(132) + sqrt(132))\/sqrt(12) + 5).\nAnswer: 10 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2589*h**4*o - 30*h**3*o**2 + 34*h**2*o + h*o**2 - 2*h*o - 4*h - 2*o**2 wrt h.\nAnswer: 62136*h*o - 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (22 - 14) - 42.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 10)*(-2 + 3 + 0)*(-10*k - 3*k + 3*k).\nAnswer: -110*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 1 (c) -5 (d) 0 (e) 939 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/13))\/x**(2\/71) assuming x is positive.\nAnswer: x**(826\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/2)\/((-2565)\/(-380)*(-1)\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 745 - 747. What is the second biggest value in f, 1, -3.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*y + y. Is y\/(-14) + (-21424)\/(-112) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24608009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 8*z = 454. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -1761ce7?\nAnswer: -1761cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97855 is divided by 1997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h = -37*h + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5348*h - 1 + 4142*h + 1 + 17253*h to the form m*h + z and give m.\nAnswer: 26743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -36 + 0*u + 13\/6*u**3 - 15\/8*u**4 + 3*u**2. Let v(z) be the second derivative of h(z). Differentiate v(q) with respect to q.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - q - 22469 + 22469.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -27995?\nAnswer: -27995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40583 + 81171 + 26078*x - 40588.\nAnswer: 26078*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*k**2 - k**3 - 161*k - 462*k - 648 + 66*k + 161*k.\nAnswer: -(k + 2)*(k + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321 times -642.3\nAnswer: -206178.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 14) to base 7\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, -221?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -651.000010704 - -651. Round o to 7 dps.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/15 (b) 5 (c) -7.6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let m(s) be the third derivative of -2\/3*s**3 + 0*s + 1\/8*s**4 + s**2 + 0. Give -4*h(z) + m(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 + 914 = 93*i. Calculate the remainder when 4102 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698839133.\nAnswer: 3, 23, 257, 95801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*g + 2 = 3*x, 4*g + 16 = -2*x. Let l = 5 + x. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -5, 6, -2\/7, 3, -2\/1191?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5559, 5578, 5609, 5658, 5731, 5834, 5973, 6154?\n\"Answer: x**3 + 12*x + 5546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26725150*b**2 + 13362677*b**2 + 13362466*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 889756416 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 59299\/(-58009) + (-1)\/(-1). Let z = -9930938393\/1276198 + q. Let i = 7784 + z. Find the common denominator of i and 25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**9)**(1\/32) assuming c is positive.\nAnswer: c**(5\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1019, 5213, 12579, 23117, 36827?\n\"Answer: 1586*u**2 - 564*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(2 - -2))\/((-936)\/2496).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 55*t**2 + 7*t - 10. Let o(d) = -18*d**2 - 2*d + 3. Determine -2*n(a) - 7*o(a).\nAnswer: 16*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*t**3 - 1786*t**3 + 889*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 13*y - 7. Let t(p) = -26*p + 15. Give 13*d(j) + 6*t(j).\nAnswer: 13*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3382 divided by -144?\nAnswer: -1691\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 17*j - 11*j + 33*j = 202, -r + 2*j + 6 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2096 + 0.2096. Which is the second biggest value? (a) 2\/23 (b) 1\/6 (c) -0.5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b*m**4 - 7*b*m**2 + 8*m**2 wrt m?\nAnswer: -288*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -19. Let q = 61 + w. Let s = q + -1. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1327*h. Let v(a) = a**2. What is v(u(z))?\nAnswer: 1760929*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 6*h + 3. Let w be m(6). Let f(k) be the first derivative of k**4\/4 - 5*k**3\/3 + 5*k**2\/2 - 4*k - 10. Give f(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.21 and 245692.0274.\nAnswer: 245691.8174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00099904 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 51, 85, 125, 165, 199, 221?\n\"Answer: -r**3 + 12*r**2 - 7*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2124168 divided by -354028\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/5 + 37485*z**2 + 374854*z\/5 = 0. Calculate z.\nAnswer: -2, 0, 187427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 13*i**2 - 3*i + 2. Suppose -5*w - 3*q = 77, 0 = -w + 4*q + 15 - 12. What is d(w)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 4) to base 3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 2*x**3\/3 + 4*x**2 - 9*x - 879. Determine t(4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1064745 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -4*d - 4*t + 8, 0 = 5*d + 2*t - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2925192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-4*k**4 + 5*k**5 + 4*k**4) + k**5 + 3*k**5 - 2*k**5.\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/93 and 40\/54591?\nAnswer: 54591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**3 - j + 1. Let l be h(1). Suppose d - l*d = 0. Let y(m) = -m + 2 + 3 + d - 2. Determine y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/(-33) + ((-108)\/132 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3333*h**2. Let p(g) = -1475*g. Give p(z(c)).\nAnswer: -4916175*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 + 0.2. Suppose -i = -4*i - k + 11, -14 = -4*i - 2*k. Let z be i\/(-14)*(-4 - (-45)\/20). What is the nearest to -0.1 in 0.1, d, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**7)\/s)\/s)\/(s\/(s\/(s\/(((s\/((s*s\/(s*s*s**12\/s)*s)\/s))\/s)\/s)))*s)*(s\/s**31)**(2\/95) assuming s is positive.\nAnswer: s**(7\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 17*r - 20. What is q(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*m**4 - 6*m**3 - 1111*m wrt m.\nAnswer: -696*m**2 - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 29*h + 5699 - 5699)*(h - 3*h + 5*h).\nAnswer: -3*h**4 + 87*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5944.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 204*h**3 + 5500*h**2 - 314376*h + 12320.\nAnswer: 4*(h - 28)*(h + 55)*(51*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18425*x**2 - x + 23744 wrt x?\nAnswer: -36850*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:34 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793597?\nAnswer: 3, 931199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/s**2))\/s)\/(s\/(s*s*s**5*s))*s**4*(s*s**3)\/s assuming s is positive.\nAnswer: s**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4 - 0. Let q be 0\/(-5) + 4*1\/1. Suppose -2*t = 8, -5*p = -p + z*t - q. What is the nearest to p in -2, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 + 1518272*v**2 - 33400388*v + 129045640 = 0. Calculate v.\nAnswer: 5, 17, 379546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -630.5393 + -1.0607. What is h rounded to the nearest 10?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2 + 2. Give z(-5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3876, 15818, 35752, 63672, 99572?\nAnswer: 143446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 259047 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w + 416 = -579 + 565 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/4))**(-38))**(-17\/5))**(-12) assuming u is positive.\nAnswer: u**(-1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 73438679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-15 + 15 + 6*u**2) + (-5*u + 0*u + 4*u)*(-2 + 2 - 4*u) + 9*u - 9*u + u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17215189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3038 is divided by (7 + -2)*17\/((-935)\/(-1672)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, -686, 0.3, -0.03?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/14 - (-4)\/14. Let j be 1 + (-28)\/10 + 2. Let f(r) = 4*r - 3. Let d be f(2). Which is the closest to w? (a) j (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -22*o + 19. Solve -o*h = 30 - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 21 + 52*f - 7 - 14.\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*n**2 - 68*n**2 - 4449*n**3 + 4505*n**3 + 142*n**2.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biiibbii. Give prob of picking 2 b and 2 i.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - 15*x. Let n(t) = t - 21. Give n(r(w)).\nAnswer: -5*w**2 - 15*w - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000327271 to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868582680?\nAnswer: 2, 3, 5, 7, 1034027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1638\/1565 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 208742352 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33183*l**3 + 132756*l**3 - 33192*l**3 - 33188*l**3 - 33191*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -2 (c) 1.04 (d) -1\/2 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52778195 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295200 divided by -10.\nAnswer: 29520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*h - 3 = 0, 18 = -3*w - w + 3*h. Suppose -13 = -2*p - o, 13 + 7 = 4*o + 8. Which is the fourth smallest value? (a) p (b) -0.3 (c) w (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 400959*c. Let r(x) = -x + 9. What is s(r(y))?\nAnswer: -400959*y + 3608631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/4)*a\/(a\/(a*a**(2\/3)\/a))*(a**1)**(-13) assuming a is positive.\nAnswer: a**(-157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 2*p**2.\nAnswer: -p**2*(p - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -311, -497, -757, -1091, -1499?\nAnswer: -1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 161 = -701. Let v = l + -102. Suppose v = u + 12. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q + 2*q**2 - q**3)*(-5*q + 5 - 5).\nAnswer: 5*q**4 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 55 = 3*y + 2*m, 0 = y - 3*m + 19. Let p = y - -49. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/32*-4*2)\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7455.9 + -7458. What is the fifth biggest value in -4, 5, -6, -2, v?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**2 + 4*p**2 - 2*p**2)*(4*p + 0*p - 2*p)*(-p - 3 + 3) to n*p**3 + d + m*p**4 + j*p + u*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 3 + 1272913*g + 2.\nAnswer: 1272913*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10102.\nAnswer: 2, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, q: 7, g: 1}. Give prob of picking 1 q and 2 w.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 64*o - 50701. Let b(i) = 8*i**2. Calculate a(b(s)).\nAnswer: 512*s**2 - 50701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -74*d + 482. What is y(3)?\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(2\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12109 - 12105. Sort -14, k, -1, 14 in ascending order.\nAnswer: -14, -1, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 1 - l**3 - 2*l - l**3 + 8*l. Let f = 7 - 11. Suppose 1268*h + 163*h + 389*h = 1226 + 594. Let k(r) = r**2 + r. Give f*k(d) + h*z(d).\nAnswer: -2*d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-10 - (-12 - -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -7) + (-56 - -80 - 9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**2 + 8*t + 10. Let j(g) = g - 4*g**2 + 2*g - g**2 + 3 + 8*g**2. Let x(w) = 11*j(w) - 4*k(w). What is the units digit of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -28, -27, -26, -25?\n\"Answer: h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12744 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*1*-2)\/(sqrt(80)*2) + sqrt(35)\/(-2*sqrt(7)) + -4*sqrt(125).\nAnswer: -83*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)*l**0)**(-8\/17) assuming l is positive.\nAnswer: l**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -34 (b) -3 (c) 2 (d) 1 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -678*k**3*q*u**2 - 2*k**3*q*u - k**2*q + 6*k*q*u**2 - 2498*q*u + q wrt u?\nAnswer: -1356*k**3*q + 12*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i**3 + 294*i**2 - 129*i - 180 = 0. Calculate i.\nAnswer: -20, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.4? (a) 12 (b) -3 (c) 40 (d) -480\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.2, 4, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1 - (-56)\/21. Let d = -2 - 1. What is the second smallest value in -0.2, g, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 2)\/(-1 + 2). Suppose -f = 2*f + 12, w = -5*h + 4*f + 41. Let x = 2 + h. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8757, -8473, -8189, -7905?\n\"Answer: 284*j - 9041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8\/44 + 273\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-1) - (-16)\/2 - -50. What is the greatest common divisor of n and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.679 - 42.969. Let w = k + 35. What is w rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (20 - 6) - -7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*r - 2*r - 8*r)*(-1 - 2*r + 1)*(0 + 0 - 1) to q*r + a + i*r**2 and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = -248*b + 257*b. Calculate the highest common factor of 135 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*3*1*11\/(-3)*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 + 20*j**3 + 185*j**2 + 340*j + 180 = 0. Calculate j.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**20*((r*r**31)\/r)\/r)\/((r**(-2\/23)\/r)\/r)**(-46))**(-17) assuming r is positive.\nAnswer: r**782","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*s + 113*s + 32 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 9) in base 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0468568 (b) -0.1 (c) 0 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*f - 3*o, 3*f - o + 3*o - 46 = 0. What is the tens digit of 60\/1*102\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3849 - 7334 = -s, 5*s - 55847 = 3*f. Suppose -9*p - 4*p = -s. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9\/6*(-140)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -30*t + 1150. Let h be a(38). Calculate the greatest common divisor of 1530 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*s - 8 = -5*b, b = -4*s - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (4 + 0 - 10*(-2175)\/(-1750))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s + 3. What is b(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 111*v = 306. What is the nearest to v in -2, -21, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000099 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 20*g**2 - 36*g - 5. Give b(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from cckclck?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**6\/120 + 11*s**5\/60 + s**4\/12 - 11*s**3\/6 + 3*s**2. Let k be v(11). Solve -4*t + 11 = -4*p - 3*t, -2*p + k = 5*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1465 (base 9) to base 11\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -560 > -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 6*l**2 - l + 1. Let a be x(-6). Suppose 3*k - a = 35. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.483037 to one dp.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 16736*y**3 + 33444*y**2 + 50184*y.\nAnswer: 4*y*(y - 4182)*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(418)\/(sqrt(11) - sqrt(44)))\/(sqrt(72)*4).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4.5495 times -2864\nAnswer: -13029.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052 take away 220413?\nAnswer: -220412.9948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -240672*z**2. Let j(o) = 20*o**2. What is i(j(y))?\nAnswer: -96268800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4 = m. Let z(j) = -45*j + 1. Let g be z(m). Let t = g + -28. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -601*c**4\/6 + 284*c**3 - 775*c**2. What is the first derivative of a(o) wrt o?\nAnswer: -2404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 132*d**3 - 136*d**2.\nAnswer: 4*d**2*(d - 1)*(d + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 403.802 days?\nAnswer: 581474.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*m, -3*r + 4*m = 2 + 3. Suppose 7*i = 2*y + 3*i - 20, 10 = -r*y - 5*i. Let j be (-50)\/(-144) - 2\/9. Sort j, y, -4 in ascending order.\nAnswer: -4, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 998864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*q - 275 + 932 + 735 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 237*i - 47 = -232*i - 1, -i = -4*v - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 317336 < 317338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1.1, -76\/75, -1.\nAnswer: -1.1, -76\/75, -1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a - 5. Suppose 4*s - 22 = 2*s. Let x = -3 + s. Suppose -127 + 1 = 42*f. Let c(k) = -3*k - 2. What is f*t(d) + x*c(d)?\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 153229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.2. Let f = 41665\/4 - 10416. Which is the smallest value? (a) 1\/7 (b) q (c) f (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 9. Let d be p(-10). Solve 12 = -3*y, -3*v + 2 = -4*y + d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22045 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 4*l**2 - 2*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -183*g**2 + 0 + 185*g**2 + 6*g + 4. Let z be l(-3). Suppose v - 1 = 1. Sort v, z, 5 in increasing order.\nAnswer: v, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.57 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d - 20. Let m(x) = -2*x**2 + 3*x**2 + 0*x**2 + x. Let w(h) = -h**3 + 13*h**2 - 23*h + 27. Let l(o) = d*m(o) + w(o). Factor l(y).\nAnswer: -(y - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 + 6*l. Give f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 1085, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 165.9, 0.3, -1.3, 0.5, 19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*f - 4*l, -4*f = -3*f - 5*l + 25. Let n(q) be the second derivative of q**4\/12 + q**3\/6 + 25*q**2\/2 - 3*q. What is the tens digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 4*g + 3. Let x be i(6). Let p = 14 + x. Solve 3 - 1 = 4*u + p*o, 0 = -u + 3*o + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*h - 7*h. Let o(s) = s**3 - 7*s**2 + 8*s - 9. Let f be (-16)\/12*9\/(-2). Let j be o(f). What is the highest common divisor of h and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1338*f**3 - 410*f**3 - 1552*f**3.\nAnswer: -3300*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 9:07 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 18*w + 13 - 25 = -16*w, -5*w = -5*r + 35 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.16 to zero dps.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - o - 4*o - 4)*(3 + 0 - 4)*(-1 + o + 1) to the form m*o**2 + y + g*o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/70 + (-60)\/(-14). Suppose p - 22 - g = 0. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*h = 126, -4*t + 0*t - 217 = -h. Let p = -51 - t. Let w be (2 - 4\/p)\/(12\/6). Solve -3*j - 5*a + 7 - 1 = w, -3*a = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 10*i + 11. Let s be f(-5). Put 3, -2, s in descending order.\nAnswer: 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/120 - h**5\/3 - h**4 - 7*h**3\/3 + 4*h**2. List the prime factors of k(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*152.\nAnswer: 8816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 390*l - 376*l - 882. What is the third derivative of l*q**2 + q**4 + 26*q - 51*q**2 - 25*q - 29*q**3 wrt q?\nAnswer: 24*q - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2 = -w. Let s(o) = 4 + 1 + 5*o - 8. What is s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(((sqrt(66)*-2 - sqrt(66)) + sqrt(66))\/sqrt(11)) + ((sqrt(605) + (sqrt(605) - sqrt(605)*4) + sqrt(605))**2 + 3 - sqrt(605)).\nAnswer: -23*sqrt(5)\/2 + 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*x - 18807, -37*i + 18847 = -36*i + 5*x. Is 17 a factor of i\/27 - 6\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14286380 divided by -20\nAnswer: -714319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*a - 0 + 12, 3*a = -12. Let o be y\/(-19) + (-18)\/(-171). Suppose 2*l + o*l - 100 = 0. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 36 = -6*p. Let i = -35 + p. Let w be (-9)\/(27\/(-12)) - i. Solve -3*y + 4 = 5*j - 0, -w*y - 4 = j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410760 divided by -17115?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 divided by 3?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 195065*q + 390151. Give w(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 4 + 4 + (5 - 1 - 3)*(-1 + 1 - 2*d) + 1 - 2*d - 1 + 100749*d - 51644*d - 51206*d.\nAnswer: -2104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from {a: 2, m: 3, p: 3, x: 4, k: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1179 + -676. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5887517497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37084?\nAnswer: 2, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1. Let l(i) = i**2 + 2. Let q(r) = c(r) + l(r). Let p(y) = -y**3 + 6*y + 2*y - 5 + 3 - 6*y**2 - y. Let v be p(-7). Give q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/6*(-8 - -4). What are the prime factors of (-5852)\/(-57) - 2\/l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -149. Let m be w\/(-207) - 2\/(-3). Let z be 10\/6 + (-26)\/39. What is the smallest value in m, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 26 - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 912, 251, -1548, -5055, -10840?\nAnswer: -19473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 53*n - 1223. Let t be u(23). Which is smaller: t or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(96) + sqrt(96))\/(sqrt(8)*-1*-4).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714, -1633, -2628, -3741, -5014, -6489, -8208?\nAnswer: -10213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 626159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**3 - q**3 + 6*q**3)*((0 + 2 + 0)*(2 - q - 2) + (1499 - 1499 - 73*q)*(-3 + 5 + 2)) as n*q + g*q**4 + z + y*q**3 + a*q**2 and give g.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**2 - 3505 + 3505. Let a(q) = -8*q - 7. Let c(h) = h + 1. Let z(k) = -4*a(k) - 28*c(k). Determine r(z(n)).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/3 - 7328*y**3\/3 - 6690428*y**2\/3 + 13446880*y - 20203350 = 0.\nAnswer: -1835, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17660517781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 49411?\nAnswer: 4941.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 508\/18 - 6\/27. Let w = -287 + 301. Calculate the greatest common divisor of l and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u = 2783 - 621. What is the remainder when u is divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222855 = 31*m - 83*m + 244469. What are the prime factors of m?\nAnswer: 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*j - 812, -9*j = 4*h - 5*j - 648. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001051 rounded to 5 decimal places?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 5852314347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -40. Suppose -6*y = -89 - j. Calculate the remainder when 77 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let l be 5*(p*-2)\/2. Is (l\/3)\/(1\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -24*(-4)\/(-64)*-6. Let n(a) = -3*a - 1. Let m(t) be the second derivative of -13*t**3\/6 - 5*t**2\/2 - t. Determine d*n(b) - 2*m(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -1040*c**4 - 127*c**2\/2 + 6*c + 4590. What is the second derivative of x(t) wrt t?\nAnswer: -24960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 1. Let u(o) = -2*o**2 - 4*o - 10. Suppose 2*v + v = 2*l - 40, 2*l = -4*v - 58. Let s be 8\/(-28) - 18\/v. Let f(p) = s*u(p) + 8*c(p). Factor f(w).\nAnswer: -2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28618, -57178, -85738, -114298, -142858?\n\"Answer: -28560*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72\/3 - 8*27\/36. Solve 59 + 31 = h*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 225 + 30*f + 0*f**2 + f**2 + 2*f**2 - 2*f**2 = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*q**6 - 781*q**4 + 2*q**3 - 10*q**2 - 3907*q?\nAnswer: 960*q**3 - 18744*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-8)\/x)\/x*x**(-14))**(-2\/43) assuming x is positive.\nAnswer: x**(46\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 5*f = 2*f. What is x in -3*x**2 + f*x + 3*x**3 - 3\/4*x**4 + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 64376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2836*w**2 - 2 - 1415*w**2 - 1422*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199266412.\nAnswer: 2, 167, 281, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -62587 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a - 14. Let q be j(7). Suppose 4*y - 21 = -1. Suppose 6*h - 3*h - 180 = y*c, -h - 2*c + q = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 303, 3, -2, 6.8, 19\/8?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11233039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvl when three letters picked without replacement from {v: 2, r: 6, l: 10}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 8*h + 150 = 0. Let g = h + -106. Suppose g + 24 = 4*s. Solve 0 = w + 4*l + s, -2*w = -2*l - 7 + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(117) + sqrt(117)*-1 - (sqrt(52) + -2)) + (sqrt(1872)*1 - (sqrt(52) + 0)*6)**2.\nAnswer: -2*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -74. What is the nearest to i in 2\/9, -1, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3586 and 319.\nAnswer: 103994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7222864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -87?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -24.1. Let v = 0.7 - 0.5. Let q = y + v. What is the third smallest value in -1, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-124)\/(-196) - ((-60)\/(-35))\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 * -5.\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/(-4)*4\/(-6) and -14 + 12 - (-2 + 59\/(-22)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(77\/(-21) - -3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 - 100*a**4 + 125*a**3 + 400*a**2 - 420*a = 0. Calculate a.\nAnswer: -21, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101011 (base 2) to base 4\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 5*d + 4. Let b be c(-5). Suppose 0 = -z + 1 - 27. Let m be (z\/4)\/1*-4. Solve -2*y - m = -b*t, 8 = t + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.376 + -0.625. Let j = 89.2 + -100. Let k = j + r. What is k rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36828972 divided by 57366\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -103 - 55) + -73?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, m: 3, g: 8, z: 2}. Give prob of picking 2 d and 2 z.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2363 or 2359?\nAnswer: 2359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-6) - (-4)\/(-6). Suppose 2*m - i*y + 5*y = 106, -3*m = -5*y - 185. Suppose 3*u - m = 50. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 37, 2\/3, -264.22.\nAnswer: -264.22, 0.2, 2\/3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/47)\/(((n**(-2\/101)*n)\/n*n)\/n))\/((n*((n*(n*(n*n\/n**(3\/4))\/n)\/n*n)\/n)\/n*n)\/(n\/n**(1\/19))) assuming n is positive.\nAnswer: n**(-439781\/360772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2490543?\nAnswer: 3, 11, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 1\/4, 513?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -17. Calculate the remainder when 182 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 - 0.6. Let t = z - 9. Let d = t - -15.5. What is the closest to -1 in 2\/11, d, 1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - -8. Calculate the smallest common multiple of v and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (183*k**2 + 143*k**2 - 76*k**2)*(3 + 36 + 14) as y*k**2 + h + g*k and give y.\nAnswer: 13250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*c + c**2 - 109*c + 569*c + 4 + 814*c in the form d*c**2 + a*c + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-108)\/30 + 2)\/((-8)\/(-20)). Let k be ((-66)\/x + -1)\/((-355)\/(-710)). What is the highest common divisor of 713 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -34, -55, -84, -121?\n\"Answer: -4*i**2 - i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c**2 - 3*c**3 + 48*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 4231122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (0 - 0) + -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 739\/2 + -378. Find the common denominator of c and 67\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) -0.8 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 211231453 to the nearest one million.\nAnswer: 211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27798 is divided by 128.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*u - 15. Suppose 5*s + u*k = 36761, -3*k + 29380 = 4*s - 7*k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 11*d**2 - 10*d - 2. Let j be m(10). Suppose -7 = -2*n - v, 3 = -4*n + 2*v + 13. Put n, -5, j in ascending order.\nAnswer: -5, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.444 + 49.644. Round q to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-22))\/(675\/500)*2\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7516?\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536666498?\nAnswer: 2, 23, 11666663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let v(m) = m**2 - 776174*m - 4. What is k(v(f))?\nAnswer: -2*f**2 + 1552348*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1878900.212 + 0.5.\nAnswer: 1878900.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8457 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 <= -1\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 70935.73nm in millimeters?\nAnswer: 0.07093573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207966 and 50094.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219442697\/213210 + 118108\/115. Let v = -282\/103 + m. Calculate the common denominator of v and -97\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 8) to base 3.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24719.\nAnswer: 19, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18311 is divided by 9098.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1789 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (13*(-18)\/(-585))\/((-2)\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.8 + -8.2. Let m = h + 18. Let u = -2.2 - -0.2. Which is the third biggest value? (a) m (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10313 - 10313.37. Which is the second biggest value? (a) 1\/3 (b) -22 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**3 + 2*o**2 + 9*o + 1. Let b(w) = 27*w**3 + 11*w**2 + 46*w + 6. Give -2*b(n) + 11*p(n).\nAnswer: n**3 + 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/2089317 and -47\/994?\nAnswer: 29250438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - y - 7. Let q be v(-3). Suppose 6*l + l - q = 0. Let w = 0 + l. Calculate the smallest common multiple of w and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199023581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1234 - -1236.9. Is h > 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-207) - 45255\/(-2415)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x + 446 = 5*w + 25*x, 5*x + 197 = 2*w. Calculate the highest common divisor of 2093 and w.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 0.3, -1, -0.033, -52 in descending order.\nAnswer: 0.3, -0.033, -1, -52, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -0.9. Let t = -1458 - -1454. What is the closest to -1 in 5, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 97*s**4\/2 + 207*s**2\/2 + 3*s + 1389. What is the second derivative of h(a) wrt a?\nAnswer: 1164*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, -54, -15, -0.5 in descending order.\nAnswer: 4, 0.2, -0.5, -15, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/2)\/((-1)\/(-3)). Let g(y) = y**2 + 2*y. Let t be 2\/(2*(-3)\/(-9)). Let c be g(t). Solve k + a - c = -b*a, 5 = 4*k + 5*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3) - (5 + (-77)\/21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 881422\/1343 at least as big as 655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 49*u + 34 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 15*g + 20*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k - 123 = 45*k + 384 + 1126 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 4809 = 4739. Let v = 7 + -2. Let z(p) = -v*p + 7 - 4*p + 4*p + 3*p**2 - 4*p**2. What is z(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 2937609.71402655.\nAnswer: 2937610.71402655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8821 = i - 2*n, -i - i = -3*n - 17641. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -21\/2. Let x = 27\/2 + -13. Factor -x + d*m**2 + m.\nAnswer: (m + 1)*(3*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:00 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 288410380 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + 12*x**2 - 18535*x + 18682*x in the form h*x + q*x**2 + j and give h.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*y - a, 5*a + 21 - 31 = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1642 * 1.\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4184*v + 117 = -4182*v + 5*i, 2*v + 88 = 5*v + 4*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/(13\/65).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35316, -70632, -105952, -141276, -176604, -211936?\n\"Answer: -2*n**2 - 35310*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 h when four letters picked without replacement from {h: 1, e: 1, u: 11, w: 1, o: 2}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/15 - -1)\/((-2)\/20). Let s be (4 - 9)*(1 - q). Solve 2*c + 7 = s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8680000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -119*c**3 + 17*c**2 - 17*c - 17. Let t(g) = 40*g**3 - 6*g**2 + 6*g + 6. Give -6*i(v) - 17*t(v).\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m**2 - 1. Let q(g) = 2*g**2. What is q(u(h))?\nAnswer: 242*h**4 - 44*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, y: 11}. What is prob of picking 2 g and 2 y?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1)\/w)\/w)**(-12\/19))**(-14)\/((w**0)**21\/(w**(-1))**(-48)) assuming w is positive.\nAnswer: w**(408\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from ronbxrbbxrxrb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(1620)) + ((1*sqrt(1620))**2 - sqrt(1620))*6 + 2.\nAnswer: -54*sqrt(5) + 9719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369168 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-65))\/(4\/(-32)*(-6)\/(-45)*-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*p**3 + 100*p**3 - 111*p**3.\nAnswer: 346*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1120 + 58*j + 311*j**2 - 1082 - 309*j**2.\nAnswer: 2*j**2 + 58*j + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/2 + (-18)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1780704274 to the nearest integer?\nAnswer: 42198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2427066921.\nAnswer: 3, 109, 7422223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.5 + -3.5. Let b = r + 41. Let s = -28 + b. What is the third biggest value in 1\/3, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -14. Let g(t) be the second derivative of 1\/3*t**3 + 0*t**m + 0 + 1\/3*t**4 - 3*t. Find the second derivative of g(d) wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878529949?\nAnswer: 11, 79866359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 2*i**2 - 9*i + 275. What is t(8)?\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*a**2*x + 2*a**2 - 12*a*x - 8*x wrt a.\nAnswer: 324*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**3 + 28*q**2 - 9*q - 24. Let p(x) = 55*x**3 + 310*x**2 - 100*x - 265. Let j(r) = 4*p(r) - 45*y(r). Factor j(o).\nAnswer: -5*(o - 1)*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 11*h + 10. Let w be a(1). Solve 9*o = 12*o - w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 2*k**2 - 3*k - 3. Let g be d(-2). Suppose 2*h - 14 = -2*z, 2*h - 5*z + g*z = 6. Solve h*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d. Let w = 5 + -12. Let r(p) be the first derivative of -7*p**2 + 3145. What is w*c(z) + 5*r(z)?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-19)\/(c*c**(-6\/11)))\/((c**(6\/11)\/c)\/c)**3)**(-2\/35) assuming c is positive.\nAnswer: c**(332\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10025, 40247, 90621, 161153, 251849, 362715, 493757, 644981?\nAnswer: 816393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 1. Let v(y) = 39*y**3 + 6. What is 6*h(r) + v(r)?\nAnswer: 45*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*6*(-11)\/132 + (-2)\/(-1). Solve -910 = -i*d - 874 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0487 + 831.1487. Let a = 786 - k. Let m = -49 - a. What is m rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-14))\/(12\/84). Suppose -5*k = -2*n + 10, 5*k - 2*k = -l*n - 6. Suppose -3*m + 81 + 513 = n. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 1 = 9*k. Let q be (0\/k)\/((7 - 3) + -2). Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) + sqrt(1500)*2 + sqrt(15) - (-1*sqrt(60) + sqrt(15)))\/((2*sqrt(6))\/sqrt(2)*-4*-3).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 + 4*l**2 - 20*l + 4. Let t be k(2). Suppose 24 = -3*w + x, 2*w - 6*x = -11*x - 16. Is 18 - (6\/t - 12\/w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -9. Let n(c) = c + 2. Let k be n(j). List the prime factors of 0 + 13 - 2\/k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 17*z**6\/6 + 3*z**3 + 18. What is the third derivative of s(n) wrt n?\nAnswer: 1020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7245 or -7255?\nAnswer: -7245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1736, -6935, -15600, -27731, -43328, -62391, -84920?\n\"Answer: -1733*c**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69486 = -5*a - 4*t, 0 = -a + 38*t - 43*t + 13893. List the prime factors of a.\nAnswer: 2, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -6. Let n(a) = -5*a**3 + 5*a**2 - 4*a - 1. Let q(f) = f**2 - f. Let b(x) = -n(x) + 5*q(x). What are the prime factors of b(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 94. Let u = x + -12. Solve -2 = 2*a - u*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d + 6. Let q(g) = -g**2 - 5*g - 2. Let o(a) = -q(a) - u(a). Determine o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 24 = 9. What is the tens digit of 6\/18 - (-128)\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2652 = -3*j, 2*o = 26*j - 24*j + 1048. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40.9 + 349.9. Let z = 309.2 - y. What is the closest to 2 in 1\/2, -11, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 28*q**2 + 7*q - 33. Is d(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:50 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 2*i + 5*d - 24, 4*i = -2*d - 24. Let b(y) = 12897*y**2 - 7*y - 2. Let g be b(i). What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ec28 + 241?\nAnswer: 2ee69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 - 1)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3569 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-26)\/(-143))*-6*12\/(-54).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8250289 to the nearest ten thousand.\nAnswer: 8250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -3) + -1 + 3 + 64. Let o(j) = j**3 + 4*j**2 - 8*j - 3. Let z be o(-5). Calculate the highest common divisor of z and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 1068 + 44. Let v = a - -496. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12111*u + 5 + 11100*u - 5 in the form a*u + h and give a.\nAnswer: -1011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -16. Suppose 4*o + w = 15, 0*o - 2*o - c*w = -5. Suppose n + 630 = 3*s - 0*n, n - 847 = -o*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 17. Let p = 38 + r. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5 - 3*j + 6*j**4 - 12*j**2 + 6*j**3 - 10 + 0*j**2 + 16 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6019 is divided by 356?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7843 and 9108?\nAnswer: 282348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1646 and 18.\nAnswer: 14814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 891062 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 less than or equal to 8288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1 and -750.2.\nAnswer: -751.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t - i - 2, -5*t = -5*i + 20. Let w(j) = -95*j**3 - 2*j**2 - 2*j - 1. What is the tens digit of w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5\/20 + t**3\/2 + 3*t**2\/2 - 4. Let z(u) be the second derivative of o(u). Differentiate z(r) with respect to r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-3 - (3 + -115)). Suppose -i = -2*f - 17. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1492, 2063, 2626, 3181, 3728, 4267?\nAnswer: 4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 - 20*o**3 + 7*o + o**3 + 7 + o**2 + 5*o**3 + 11*o**3 in the form l + b*o + t*o**3 + s*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2\/5, -157, 872, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 654, 2615, 5882, 10455, 16334, 23519, 32010?\n\"Answer: 653*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = j. Suppose j*x - 3*x + 5 = 0, 0 = 5*u + 4*x - 20. Solve u = v - 6*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-40)\/270*8*(-3)\/(-32)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1539) + -4.\nAnswer: -4 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3903*c**4 + c**3 - 152053 with respect to c.\nAnswer: 15612*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147184 and 624.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 96*k**2 - 356239*k\/3 - 21029\/3 = 0. What is k?\nAnswer: -17\/288, 1237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -42, -49, -56?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*x - 7 = 0, 0 = -0*t + t - x - 2. Let u = 1 + t. Let p = -522 + 3652\/7. Which is the nearest to -1? (a) u (b) p (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-626)\/868 + 13\/26. Let c = 2855\/434 + x. What is the common denominator of c and 7\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q. Let j = -9 - -13. Let m be g(j). Suppose 26 = -m*w + 86. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 183, 236, 253, 222?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -365 = -392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0 - 33*j**2 + 1\/3*j**3 + 1\/60*j**5 + 0*j - 1\/12*j**4. Calculate p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 10. Let f = -5.6 + d. Which is the nearest to -0.2? (a) 0.5 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18740 = 5*d + 4*n + 425, -4*n = -20. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171995.751 milliseconds in days?\nAnswer: 0.0019906915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847*i + 846*i - 5*f = 8, 0 = -3*i - 2*f + 2. Which is the nearest to -1\/4? (a) -0.5 (b) -17 (c) -7 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 0, -3*n = -0*n - 2*v + 62. Suppose 15 = 5*l - 35. Let b = l - n. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + -1 + sqrt(315)\/sqrt(5))*1 + 4.\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 times 689693\nAnswer: 45519.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4529.701301 to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 2*b**7\/35 + 4*b**6\/25 + 3*b**5\/20 + b**4\/20 - 12*b. Factor k(c).\nAnswer: 3*c**2*(c + 1)*(2*c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 + 88 - 20 - -142.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221 + -216. Suppose -3*g - 5*y + 15452 + 5976 = 0, 0 = 3*g - v*y - 21478. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -674, 1, 5 in ascending order.\nAnswer: -674, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12) + 15\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 13*k**2 + 8*k + 25. Let z be v(-5). Suppose -5*p + z = -240. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -18.4. Let i = -2 + c. Let u = 1392 - 1397. What is the smallest value in 0, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -527504372097 take away 20.5?\nAnswer: -527504372117.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 0.2342?\nAnswer: 0.1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3 + 2. Let r = -187 + 181. Put 7, f, r in descending order.\nAnswer: 7, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 273, -6\/7, -632?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332 less than -6.7311?\nAnswer: -5338.7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**4\/3 - 5*m**3\/6 + 3*m**2 + 3*m. Let s(r) be the first derivative of h(r). What is the derivative of s(w) wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let p(t) = -2*t**2 - 4114*t - 2117682. Let o(u) = p(u) - 2*r(u). Solve o(d) = 0 for d.\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0849507 rounded to 3 dps?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.44473 - -122.35927. Let m = -321 - -198. Let u = z + m. What is u rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(-1*sqrt(504))\/sqrt(2) - -3*(-1*sqrt(700)*1 + (sqrt(700)*-1 + 0 - sqrt(700))).\nAnswer: -270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26209548 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -4. Let u be 2 + h\/(-6)*3. Suppose 0 = -u*p + 4. Solve 0 - p = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, m: 1, z: 6, g: 2, w: 1}. What is prob of sequence gmw?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) 1\/4 (c) 0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -719*j**4 + 221*j**4 + j**2 + 1128*j - 5*j**2 + j**6 - 142*j**4 - 1440*j wrt j?\nAnswer: 120*j**3 - 15360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-121)*275\/(-350).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2. Let u = 9 + q. Suppose -23*k - 5*s - 33 = -27*k, 3*s = 4*k - 23. What is the least common multiple of k and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -5, 48 in decreasing order.\nAnswer: 48, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n. Let m be q(-7). Round m to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/91847, 3, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86 - 86 - 2*c**2 + 213*c**3 + (0 - 4 - 1)*(-c**3 - c**3 + 4*c**3).\nAnswer: 203*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -5 - -6) + -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 7. What is m(22)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*y - 106628 = -108395 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 4*r + 3 + 30.\nAnswer: -r + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -1 + sqrt(425) - sqrt(425)) + (sqrt(17)*-2 + 1 - sqrt(17)) + sqrt(17) + (sqrt(136)*2)\/sqrt(8) + sqrt(272) + -4 + -5 + -5)**2.\nAnswer: -252*sqrt(17) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 7. Let l = 2 + 4. Let d = l - u. Let c(x) = x**2 + 3*x - 3. What is c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 1. Let o be w(-5). Let l(f) = 20*f - 24. Let u(n) = n - 1. Let i(g) = o*u(g) + l(g). Let s(z) = 6*z. Determine i(s(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuoecoubco. What is prob of picking 3 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 - 19 = 5*c, -4*c = -4*q. What is the nearest to 0.1 in -6, 0, 131, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2111 + -2070. Solve 43*q = h*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, 2\/7, 3 in descending order.\nAnswer: 3, 2\/7, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h, -m - 2*m = -h - 3. Let x be 1 + (-3)\/m + -236. Let i = 443 + x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*k = -5190 + 13922. Calculate the remainder when 82 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 16000, 4, 56 in decreasing order.\nAnswer: 16000, 56, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31448 + 20?\nAnswer: -31428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 6. Suppose 3*n - 12 + 3 = 0. Let w be d(n). Let y be (-2)\/8*16\/w. What is the closest to 0 in y, -0.5, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-27) - (-464)\/144. Suppose -4*z + 4 = u, -1 = q*z - 3*u - 4. Which is greater: 7\/44 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-216)\/28 + 7)*-7. Solve 0 = 2*y + r*c + 35, -3*c - 28 + 13 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*s + s - 4*s)*(-7 - 15 - 7) - 1 + 1 - 2*s)*(-20*s**3 - 24*s**3 + 13*s**3 - 21*s + 37*s**3) in the form h*s + b + x*s**3 + i*s**2 + y*s**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 48852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (216 - 216 + 99*c)*(2*c + 1 - 1)*(9*c + c + 0*c).\nAnswer: 1980*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) - sqrt(99)) + (sqrt(66)\/sqrt(3))\/sqrt(2).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6329 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015556842 to five decimal places.\nAnswer: -0.01556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1296, -10942, -37136, -88152, -172264?\n\"Answer: -1379*k**3 + 7*k + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 62?\nAnswer: 5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/(-147))\/8 - ((-5)\/6)\/(-5)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 9*g + 11. Let m be d(8). Suppose -75 = -m*i - 21. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 1. Let i(n) = -n. What is 5*i(w) - 2*u(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4506 + j - 4506 + 9*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.73 + 0.17. Let h = -1.8 + j. Let l = h + 4.9. Sort 0, l, -2 in decreasing order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 4, s: 3, n: 1, y: 8}. Give prob of sequence gh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -203, -691, -1453, -2489, -3799?\n\"Answer: -137*u**2 - 77*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345.7 + -351.7. What is the nearest to -3\/7 in k, 1, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -1\/12 (c) 3 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**4 + 2*m**3 + 2*m**2 + 3. Let n(l) = -2*l**4 - l**2 - l - 1. Let y(j) = 5*a(j) + 10*n(j). Suppose y(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/80 + 3473\/80. What is the common denominator of (-214)\/(-20) + (-1 - -2) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.5. Let o = -13.8 - -13. Let y = o + 2.8. What is the smallest value in y, z, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -17*z**2. Let u(a) be the first derivative of -2*a**2 - 60. Determine u(w(k)).\nAnswer: 68*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309274 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b + 25*b - 11*b.\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -52, -62, -56, -28, 28, 118?\n\"Answer: a**3 - a**2 - 24*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3430*v + 2806*v - 2012*v)*(1 - 1 + 2).\nAnswer: 8448*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 242\/18 - (20 - 21)*-13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-108)*-2*4\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4053*g**4 - 4162*g**3 - 15888*g**2 + 2*g + 170 wrt g?\nAnswer: 97272*g - 24972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 0.5 (b) -2 (c) -194 (d) 1779 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31413 + 44223. Does 122 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014455294 to four decimal places.\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*i + 8864 = 0, 5*i - 22145 = 5*a - 10*a. What are the prime factors of a?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 29*p**7\/42 + 3*p**4\/4 - 28*p. What is the third derivative of y(l) wrt l?\nAnswer: 1740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m = -3. Suppose 0 = m*n - 2 - 1. Let f be 1 + 1 - 2\/n. Solve f = 4*d - 3*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 357, -10, -9 in descending order.\nAnswer: 357, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3382\/((2\/15)\/(7 - (-1560)\/(-225))). Calculate the highest common divisor of 1513 and g.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30382544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**26\/x)\/x)\/x**(1\/6)*x**(-7)*x*x\/x**(1\/11) assuming x is positive.\nAnswer: x**(1303\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 621, 961, 1301?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10110\/497 - -75\/71. Let b = p + 137\/7. What is the second smallest value in -0.1, 4, b, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74\/9? (a) 0.3 (b) -1\/6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1617546 by -12162.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 34. Let f = 2 - s. Let t = f - 21. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -16996?\nAnswer: -33992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(104)\/(sqrt(18)\/sqrt(9)))\/(sqrt(64) - (sqrt(64) + 4*sqrt(64))))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*b - 3, 3*b - 3 - 2 = -h. Let j(i) = 3*i + 4*i - 2 - 4*i. What are the prime factors of j(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 - 168 = -16*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.12, 198 in descending order.\nAnswer: 198, 0.12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(70)\/sqrt(10))*5)\/(sqrt(1210)*3 + sqrt(10) - (sqrt(90)\/sqrt(3))\/sqrt(3))*-3.\nAnswer: -5*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3015 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/3 + 8*y**2 - 3*y. Let q(o) = -8*o**2. Give q(g(r)).\nAnswer: -512*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.762063 centuries in millennia?\nAnswer: 0.6762063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -51*v. Let c be x(-2). Suppose 68 = 3*n + 3*h + 8, 3*h - c = -5*n. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917056 divided by 16376.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.06.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5478.98196 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 54354.7 to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 6*m - 11*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xooooojojjxox. Give prob of picking 3 x.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.96 + 0.04. Let g = 4 + -3. Suppose -5*l + i = -1, 2*l + g + 2 = -3*i. Which is the third smallest value? (a) 1\/2 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6*p - 24. What is the second biggest value in -0.4, -2\/7, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**2 + 9. Let y(x) = 6*x**2 + 8. Let f(o) = -6*d(o) + 5*y(o). Find the first derivative of f(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f - 20 + 20)*(21*f**2 + 18*f**2 - 4*f - 38*f**2).\nAnswer: 10*f**3 - 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -3*(-4)\/6. Suppose p*y - 7*y + 110 = 0. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1901, -15240, -51441, -121934, -238149, -411516, -653465, -975426?\nAnswer: -1388829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 4:27 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 12*t**3\/5 - 117464*t**2\/5 - 2863828*t\/5 - 15386784\/5 = 0.\nAnswer: -49\/3, -8, 9813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -204, -255, -394, -663, -1104, -1759, -2670, -3879?\n\"Answer: -7*j**3 - 2*j**2 + 4*j - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8452.616ug?\nAnswer: 0.008452616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264746 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1406 and 2812.\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2514224 (base 6) to base 14.\nAnswer: -36dcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let q(o) = -33*o - 3. Let c be q(-5). Let r be ((-3)\/(-4))\/(c\/48). Sort x, 0, r in increasing order.\nAnswer: x, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + n + 115, -n = 3*n - 20. Let v be -3*(-5)\/m*-12. Let l = 0.3 + 0.1. Which is the nearest to l? (a) -0.5 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -392, -390, -388, -386?\n\"Answer: 2*w - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 16. Calculate the least common multiple of j and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49994?\nAnswer: 2, 7, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 - 6*i - 1. Determine n(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 12. Let s be r\/(((-1)\/(-1))\/(-1)). Put -9, s, -5 in descending order.\nAnswer: s, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4264, -7000, -9736?\n\"Answer: -2736*c - 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 210\/12*(2 + 57\/(-30)). Factor 1\/2*d + 0 + p*d**2.\nAnswer: d*(7*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**(2\/13)\/j)\/j*j)\/((j**(-6)*j*j*j)\/j) assuming j is positive.\nAnswer: j**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/((-2)\/(-4)). Which is bigger: t or 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, p: 2, n: 1, y: 1, a: 2}. Give prob of sequence yaa.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.187 + 0.187. What is the nearest to 0.1 in 0.3, i, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-2)*180\/(-3780)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {n: 4, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + ((sqrt(44)\/sqrt(4) + 4 + sqrt(11))*-4)**2*4 + 2.\nAnswer: 1024*sqrt(11) + 3838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-1 - -4) + 3140296\/(-116256).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -9. Let y(b) = -2*b - 7. Determine y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/7 (b) 13612 (c) -1\/7 (d) 0.2 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837010.7ms to microseconds.\nAnswer: 837010700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1150.57 - 1123. Let i = -26.5 + f. Let q = 1.07 - i. Are -0.09 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 + 10 = 0. Suppose -1 = 2*p + 1, -t*f + 440 = -5*p. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*r + 44901 - 35871 = 0 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 1\/28, 2\/3, 16, -0.1, -20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14889 by -709.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14524)\/12182005 + 4\/330.\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k - 6 = -26*k. Suppose 2*s - 685 + 167 = 4*b, s - 127 = b. Let n = -109 - b. Solve -4*v + n = 3*z, -18 = -z + k*z - 4*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2*b - 5 + 9, -5*b + 2*v + 19 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 5)*(2*s - 5*s + s - 2*s - 4*s + 5*s - 3*s + 2*s + 0*s + (-3*s + s + 3*s)*(-2 - 4 + 4)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*q + 8 = -q, m - 4 = 2*q. Let a(o) = -5*o + m*o + 3*o. Let z(t) = -t. What is a(z(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2493 and 31578?\nAnswer: 94734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -12. Let h = 0 + -1. Let d = -31\/2 + 159\/10. What is the closest to d in 0.5, h, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-1)\/6). Let g be ((-8)\/m)\/(6\/(-63)). Let a be 8\/g*(2 + -1). Is 0 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913975 is divided by 4340.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + 3*n)*(76 - 46 - 42) - 4 - 4*n + 4.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryry. What is prob of sequence yry?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7140 divided by -8.\nAnswer: 1785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.98. Let g = 4.02 + f. Let l = 7 - 10. Sort 3\/4, g, l.\nAnswer: l, 3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 37 = -5*s. Let j be (32\/s)\/((-2)\/(-9)). Let t(r) = r**3 - 5*r**2 - 4*r. Let g be t(6). What is the highest common factor of g and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + 259\/49. Suppose i*k = 53 + 77. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, 13\/5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5149*c**2 - c - 5. Let v be (9 + (-63)\/9)\/(3\/(-3)). Is l(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 13 = -4*f + 5*k, -5*k + 1 = -8*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 7*i**2 + 2*i - 13. Let s be l(7). Let o be -2*s\/7 + (-10300)\/(-35). Calculate the highest common factor of o and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 - 173. Let q = 887\/5 - 177. What is the closest to q in p, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1\/2, -19\/3801, -1, 0.3.\nAnswer: -1, -19\/3801, 0.3, 1\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -5, -2, -14 in ascending order.\nAnswer: -14, -5, -2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - 6412.\nAnswer: -6377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28370 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2025.4 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/19*(-2)\/(-18). Is l at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60048*q + 459*q**2 - 60048*q + 3*q**2 - 4*q**2 + 0*q**2 + (-5*q**2 - 2*q**2 + 5*q**2)*(-4 + 5 - 2))*(0 - 3 + 5).\nAnswer: 920*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 155*u - 611*u + 213*u as s + m*u and give m.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 3857 + 1692 + 1709 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k - 0. Let d be (0\/k)\/((-2)\/(-2)). Let l(o) = 2*o - 171. Let x be l(88). Solve y + 3*z = -5, -4*y + d*z + x*z + 31 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.0811 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 24*k**2 + 6*k + 14. Let w(n) = -n**2 + n + 1. Let i(t) = -p(t) - 3*w(t). Let x(m) = 11*m**2 + 4*m + 8. Let a(f) = 6*i(f) + 13*x(f). Is a(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**9\/g*g*g)\/(g**5*g))**5\/((g\/g**6)\/g**(1\/4)*(g\/(g\/(g*g*g*g**3)))\/(g*g**(2\/17))) assuming g is positive.\nAnswer: g**(1385\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40262268 and 564.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 9\/2*u + 1\/6*u**3 + 4 + 3\/2*u**2. Suppose h(j) = 0. What is j?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/(-11*(-84)\/(-2079)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 996\/11 + 11329\/22. Let r = 621 - d. Find the common denominator of (-55)\/(-3)*126\/(-1260) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Let i be (-29)\/(-87) + 32\/12. Solve -p*v = 3*w + 3, 4*w + w + i*v + 11 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*h + 2*h**4 + 3*h**3 + 0*h**3 - 129*h as t*h**2 + v*h**4 + d*h**3 + u*h + b and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*l - 162, 6*l - 2*l + 3*y + 124 = 0. Let b = 130 - l. What are the prime factors of (-9)\/(-18)*b\/2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 6519*k**2 + 167973*k - 1088529.\nAnswer: 3*(k - 2147)*(k - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 times 28?\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.26841*2682\nAnswer: 719.87562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/4*i**4 - 9\/8*i + 33\/4*i**3 - 3*i**2 + 3\/4 + 15\/8*i**5.\nAnswer: 3*(i - 1)**4*(5*i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92*a + 3 + 2 - 104*a + (-3*a + 3*a - a)*(-1 - 5 + 5).\nAnswer: -11*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/44 + 46\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 10*w. Let t be m(-10). Suppose -4 = 2*s + 5*n - 10*n, t = 4*s - 5*n - 2. Suppose -p = -s*p + 20. Solve -2 - p = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a9 + -2db5?\nAnswer: -3080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - 9?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 13) in base 14?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25991 = -19*i + 2*i + 162824. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unu when three letters picked without replacement from dnuunnndddddndddddn?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -1090, -2471, -4408?\nAnswer: -6901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 57, 130, 233, 366, 529?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1133 + -3?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2969*v**2 - 385*v**2 - 2584*v**2 - 3*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*f - 94*f - 631*f - 864*f - 80*f.\nAnswer: -1995*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 75b8460b?\nAnswer: 75b84612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/23 + 233\/69. Let p = -211 - -215. Is s at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -13*k - 34, 3*k = -4*u + 2*k + 14. Solve i + 2*z = 10 - 4, u*i + 26 = 2*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 15*a**2. Let r(m) = 14*m. Let x(j) = -j. Let p(k) = r(k) + 10*x(k). What is u(p(i))?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40350 + 4*g + 13439 + 13445 + 13466.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5010851\/63 or 79538?\nAnswer: 5010851\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*x - 224 = 0, 5*x = 20 - 0. Let l = b - -64. Let j = l + 92. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-455)\/50 - -8)*36\/(-33).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {m: 1, i: 1, a: 1, o: 2, p: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 225698 (base 12) to base 7\nAnswer: 4443605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*l + 32. Let s = -135 - -176. Let w = s + l. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1171266 at most as big as -1171266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -287*u**5\/5 + 962*u**3\/3 + 47. Find the third derivative of q(y) wrt y.\nAnswer: -6888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 17. Which is the second biggest value? (a) k (b) -3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 6:24 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151230 by 75615.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*x = -34*x + 118503. What is the highest common divisor of x and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -3 (c) -23 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, -1, 2336, -4 in decreasing order.\nAnswer: 2336, 4\/15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*4\/(-16) + 1122 - -4. Suppose 175 = -7*o + w. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdgkhnkdnnedkkkd. Give prob of sequence dnnh.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + -10032?\nAnswer: -4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 8*p + 16, 5*w + 123 = 2*p. Suppose 0 = -2*t - t - 2*x + 153, -2*x = 5*t - 251. Let c = w + t. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - 121. Is -258 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3\/4 (b) 2\/5 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzllsyseoszy. What is prob of picking 1 y and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(12324\/395)*(-1)\/(-2)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2989, -5978, -8967, -11956?\n\"Answer: -2989*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -32*u**4 + 1772*u**3 - 5664*u**2 + 2416*u + 4160 = 0?\nAnswer: -5\/8, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -1\/6, 4\/25, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpgegggwwwwe. Give prob of sequence we.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + 3*r**2 - 2*r**2)*(1 - 37*r + 118*r - 50*r) in the form d + y*r**2 + k*r + h*r**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(104) - sqrt(104)) + sqrt(104))\/sqrt(8) - sqrt(13)) + ((sqrt(13) - (sqrt(39)\/sqrt(3) + sqrt(13)))*-5)**2.\nAnswer: -3*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4725 (base 9) to base 16.\nAnswer: db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) - (-4)\/5. Suppose g = 3 - a. What is the units digit of g\/(-4) + (-11)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**2 + 253272*y - 17967189 = 0.\nAnswer: 71, 84353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14974, 14973, 14972, 14971, 14970, 14969?\nAnswer: 14968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1312 divided by 2.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12439?\nAnswer: 7, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -54. Let w be (-10)\/(-15) + (-5)\/f. Solve 4*x - w = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z**2 - 4*z + 4*z)*(3*z - 3*z - 4*z**2).\nAnswer: -40*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -159 in 3, -2\/5, -0.3, 0.035, -2\/13, 22?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(-3\/14) assuming i is positive.\nAnswer: i**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 - 3*g**2 + g**2)*(2 + g**2 - 2)*(0 - 1 + 10) + 2*g**4 + 0*g**4 - 3*g**4.\nAnswer: 35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39\/8 + 41\/8. Which is the closest to 2\/3? (a) o (b) 4 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 560634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*l - 0*s + 4270, 0 = 4*l - 2*s - 3406. What are the prime factors of l?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 410, -0.1, -506, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16697*n**6*y**3 + 37*n**6 - n**2*y**2 + 167*n*y**3 + y**2 - 335*y - 1 wrt n.\nAnswer: 2003640*n**3*y**3 + 4440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2.7 (b) 1.6 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**16*s*s**(-21)\/s)\/(((s*s**(-16)\/s)\/s)\/(s\/(s*s*(s**20*s)\/s))) assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 26 = -4*z, 2*d - 4*z = -33 + 17 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 26*u**2 + u. Suppose 4*b + 129 + 167 = 4*f, -2*f - 5*b = -141. Calculate the remainder when f is divided by m(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -17.8. Let v = p - -0.8. Which is the nearest to v? (a) 2 (b) -0.03 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365759 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195274647?\nAnswer: 3, 19, 60103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 98*f**2 - 22*f + 33. Is q(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/7, 2\/39, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540.097192 rounded to the nearest 10?\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -31300022423?\nAnswer: 31300022434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97856617 or 97856613?\nAnswer: 97856617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -93. Let k = 0 - -9. Let y = -2 + k. Which is the second smallest value? (a) y (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40098 is divided by 427?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 18 - 56 + 31 + 6*g + 6*g + g. Let a(l) = -38*l + 20. Give -6*a(v) - 17*t(v).\nAnswer: 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0103696403 to four dps.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4255)\/(-740))\/((1 + 1)\/56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99396365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 64. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p. Let h(j) = 34*j + 1. Calculate a(h(u)).\nAnswer: 102*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -273263.8 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3670716 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*h + 30 = 86*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 - u**2 + u + 1. Let x be p(-1). Suppose -q = 2*o - 26, 3*o + 8 = 4*o + x*q. Solve -4*i + o = y, y = i + i - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*z + 190 - 222 + 515 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 384 and 106848.\nAnswer: 427392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.427 + -0.527. What is the fourth biggest value in 7, n, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01772 - -0.0084. Let g = c - 0.026. What is g rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158650.8 milliseconds to microseconds.\nAnswer: 158650800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*m + 124*m + 96*m + 14937 + 1546 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39260239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*z**2 - 68*z**2 - 13*z**3 - 4*z + z**3 + 4*z + (-61 + 61 - 67*z)*(3*z**2 - 4*z**2 + 0*z**2) as h*z**3 + b*z + p + g*z**2 and give h.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -59*d - 1093. What is the second biggest value in 1\/6, -31, d, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78164 or -633?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-3*(-2 - -3)). Let x = 8 - q. Calculate the remainder when 13 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let n be u\/3 - (-122)\/3. Let f = -7 + n. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.5 (b) -0.34 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3368.6 and -0.36.\nAnswer: 3368.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + s = -6*a + 76, -4*a - 2*s = -80. Solve -3 = -5*v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -665, 1\/9, -4, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from dddfp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppjppjpppppppppjpp. Give prob of sequence pj.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = -o - 6, -2*i + 24 = -5*o. Let n be 25*i\/(-1 - -3). Let l = n + -5. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 10. Let p be a(-8). Let z(d) = d**2 - 10*d - 8. Let w be z(11). Suppose 0 = 5*n + 17 + w. Sort n, -3, p in descending order.\nAnswer: p, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5869 + 5870. Put t, -4, 8, 5, 3 in increasing order.\nAnswer: -4, t, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d**3 + 16*d**2 - 28*d + 47. Let m(r) = -7*r**3 - 5*r**2 + 9*r - 16. Let i(h) = -3*c(h) - 8*m(h). What is the tens digit of i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 12*t**2 + 11*t + 37. Let d(z) = z**3 - 6*z**2 - 5*z - 18. Let c(x) = 9*d(x) + 4*u(x). Let r be c(6). Does 22 divide 44\/(-3)*30\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15654877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/15*35\/(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4297, -4308, -4333, -4378, -4449?\nAnswer: -4552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = -4*u, f - 34 = -2*u - 22. Let h = 1343\/28 - 362\/7. Is h less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 27*q**4 - 35 + (-2*q**2 + 8*q**2 + 5*q**2)*(2*q**2 - 3*q**2 + 0*q**2).\nAnswer: -38*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 7:05 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -2)*(23 - 8). Let x = i + 96. Suppose 67 = 4*m + 3*g, 0 = -m - m - 5*g + x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(605) + -1)*2 + 0)*1*-4.\nAnswer: -88*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d + 1. Let s(y) = -2*y**3 + 3*y. What is -6*l(c) - 2*s(c)?\nAnswer: -2*c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225 + -243.35. Let f = 18 + b. What is f rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2110300200203231 + -10?\nAnswer: -2110300200203301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -133789200 rounded to the nearest 100000?\nAnswer: -133800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 27566, -2, -23.\nAnswer: -23, -21, -2, 27566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24422\/14 - (-3)\/(-7). Let t = k - 857. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 27258*c - 5297. Is n(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/2, -4, -2\/63, -1\/3.\nAnswer: -4, -1\/3, -2\/63, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/90371956 and -3\/2475944.\nAnswer: 180743912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*p - 4. Let d(o) = 23*o**3 + 18*o**2 - 16*o + 5. Let k(v) = 61*v**3 + 46*v**2 - 40*v + 14. Let i(x) = 8*d(x) - 3*k(x). Calculate i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.821 less than 0.2?\nAnswer: 1.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001424 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.01. Let h = b - 0.41. Let s = -5.08 + 3.08. What is the smallest value in h, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 419050296.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91174555 divided by -5.\nAnswer: -18234911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3\/4 + 1785*m**2\/2 + 12606*m + 43344 = 0. Calculate m.\nAnswer: -8, -6, 1204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2511868*b*s**3 + 2*b*s - 15*s**3 + 27111 wrt b.\nAnswer: 2511868*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -k - 3*k + 24, 2*a = -4*k + 32. Does 2 divide 10\/4*16\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*a**3*b*s - a**3*o*s - 2*a**3*o + 7*a**3 + 31*a**2*b + a*b*o - o + 21 wrt b.\nAnswer: -46*a**3*s + 31*a**2 + a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/(-42) + -1 + 2\/(-7). Suppose 3*y - h - 8 = p, 2*y = 4*h - 3 + 5. Suppose y*l = -3, 3*z - l = 5*z - 1293. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a31 (base 14) in base 5?\nAnswer: -311420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 24. Factor d*l**2 - 2\/7*l**3 + 0*l + 2\/7*l**4 + 0.\nAnswer: 2*l**3*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36085 and 91121842.\nAnswer: 7217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22597203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 - 3b615?\nAnswer: -3b581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107296 or 7?\nAnswer: 107296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:00 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -9*f**2\/2 + 18*f - 1373. Determine n(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y + 38*y - 316*y.\nAnswer: -260*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/300 + 3*c**2\/2 - 2*c. Let o(b) be the first derivative of p(b). Determine s, given that o(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3) + 312 + -27. Suppose -p = -2*i - 0*g - 4*g, 3*g + 117 = i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*38052\nAnswer: 7610.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 35*s - 880 = 0. Suppose -t - 4*d = -9, t = -0*t + 3*d + 9. Calculate the remainder when (-16)\/s - (-213)\/5 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 5. Let z be q(-4). Let b(c) = -8*c**2 - 2*c. Let w(d) = -4*d**2 - d. Let r(l) = z*w(l) + 6*b(l). Factor r(i).\nAnswer: -i*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-112)\/(-20))\/((-688)\/(-340) + -2). Suppose c - u = 2*o, -3*o + 4 = -2*o. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 45*g - 148. What is f(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (0 - (-2 + 3)). Suppose w*j + 0*j + 15 = 0. Put 0.01, j, 1\/2 in descending order.\nAnswer: 1\/2, 0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5606121 + 1829743 = 8*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9474 + 9421. Which is the nearest to 2? (a) 2 (b) k (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + s + 133 = 139, 2*c - 3*s - 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1487462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 232\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + v = -2*m, 5*v = -m + 11. Suppose m = o, 3*b + o - 494 = -4*o. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llqqqllqqplqqqqqqq?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 6 - 6)*(4*p**3 - 3*p**3 + 8*p**3 - 2 + 2*p**3 + 2 + (-3 - 1 + 2)*(4*p + 2*p**3 - 4*p) - p**3 - 2*p**2 + 2*p**2).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/45)\/(4\/12)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, w: 7}. What is prob of picking 2 d?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a year?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4\/7 + 3160*u**3\/7 - 607476*u**2\/7 - 1224448*u\/7 - 613808\/7 = 0. Calculate u.\nAnswer: -1, 338, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7) + 1 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 77 + (0*4\/(-16) - -3). Let u = 92 - c. What is the highest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5170 - 4?\nAnswer: 5165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 2. Let a be s(-2). Suppose -u + 110 = 3*b, -5*b - 3*u - 65 + 243 = a. Let l = b - 19. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -4, -5, 14 in descending order.\nAnswer: 18, 14, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2590904?\nAnswer: 2, 23, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 592600 rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 9. Suppose -82*d - 24 = -78*d. Give j(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.0909 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 + 84.8. Let k = 81.7 - u. Which is the nearest to k? (a) 5\/2 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -8 - (-2 - 5 - (-1 - 2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199300 and 20400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 16. Let l = z - -17. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-4)*z))**(5\/2)*z**(-12)\/(z\/(z*z\/(z\/(z\/(((z\/(z**(-2\/9)*z)*z)\/z)\/z))))) assuming z is positive.\nAnswer: z**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 8*j**2 - 2*j + 9. Suppose 2*s + 3*s - 25 = 0. Suppose 2*p - 198 = -3*w - 0*p, s*w - 314 = 2*p. Suppose -9*d + w = -d. What is y(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7861*y + 114 + 109940 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5374 + -0.0374. Put 1\/5, a, 5, 59 in increasing order.\nAnswer: 1\/5, a, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6439957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700765?\nAnswer: 5, 13, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -1. What is the smallest common multiple of (-126)\/(-18) + (1 - 0) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 545\nAnswer: 545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16 + -777868254.\nAnswer: -777868255.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 - 49*x - 27. Determine a(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.291851 from -163088.33.\nAnswer: -163088.621851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96678035699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7285.475 nanoseconds?\nAnswer: 0.007285475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60*44\/50820)\/((-2)\/22)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239880586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f + 29*f - 58*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 5*p**5 + 2*p**5 + (-2 - 1 + 0)*(-p**5 + p**5 + 3*p**5).\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15d (base 15) in base 4?\nAnswer: 10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, -124.\nAnswer: -124, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14*i - 1. Let n be a(-4). Suppose -3*z = -8*z + n. Let w = 23 + z. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14666714 or -14666715?\nAnswer: -14666714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3200840*x + 268*x**3 + 3200840*x.\nAnswer: 268*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 8*g**2 + 23*g + 13. Let m be f(12). Let w = 1516 + m. Is w 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 8491032?\nAnswer: 2, 3, 11, 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.089121 litres?\nAnswer: 2089.121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528554.\nAnswer: 2, 13, 29, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*j**4 + 23580*j**3 + 4928974*j**2 - 297669204*j + 3984008161 = 0. What is j?\nAnswer: -497, 127\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 9*o**2 + 13*o + 15. Let k(n) = n**3 + 4*n**2 + 7*n + 8. Let m(j) = 3*d(j) - 5*k(j). Calculate m(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/11686605 or -1?\nAnswer: -8\/11686605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -i + 4*n, 8*n = -5*i + 4*n + 777. Calculate the remainder when i is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1661960.\nAnswer: 1661960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149538235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1719 = 3*i + 1721, -1 = 3*q + 4*i. Solve -2*m + 5 = -3*r, -q*r - 21 = 3*m + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 3*a**2 - 2*a**2 + (0 + a + 0)*(3*a - 4*a - a) - a**2 - 194 + 194.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 - ((-3 - -4) + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 4*j + 200. Suppose 45*o = 40*o + j. Suppose -103 = -2*m + 3*i, -2*m - 4*i - 102 = -o*m. Calculate the smallest common multiple of m and 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*x**3 - 28*x**3 - 6*x**3 - 8*x**2 - 3*x**3 wrt x?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306391836295 less than -0.5?\nAnswer: -306391836295.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16963085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p + 1. Let g be q(-1). Let k = -250 + 5248\/21. Which is the nearest to -0.2? (a) -1 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3. Let b(x) = x + 1. Let t(y) = -4*y - 3. Let j(q) = -5*b(q) - t(q). Suppose -m = -2*a - 2, 0 = 3*a + 5*m + 6 + 10. What is a*o(n) + 3*j(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 943 = -3*d - 482 - 458, y + 6 = 4*d + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*u + 8, -2*u - 5*x = -4*x + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 25 + (87 - 66) + -82\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*w = -14, 0*i + i + 4*w - 23 = 0. Calculate the highest common divisor of i and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 1123150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -7*y + 9. Is -1 + 3687\/18 + y\/42 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19273921.\nAnswer: 19273921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4 - 3*d**3 + 27*d**2 + 27*d = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -81. Calculate the greatest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:41 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49812629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25002 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 + 566720*o**2 + 16059711300*o + 64229778000 = 0.\nAnswer: -56670, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 56865.74 kilometers?\nAnswer: 5686574000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.257725254 and -6.\nAnswer: -1.546351524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tppt when four letters picked without replacement from {p: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -53*q**2 - 11. Let h(r) = -r**2. Determine p(h(n)).\nAnswer: -53*n**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67702, 67704, 67706, 67708, 67710?\nAnswer: 67712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + (7 - 0))\/2. Let t = -201\/10 + 39\/2. What is the closest to a in -14, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37042, -26459, -15876, -5293?\n\"Answer: 10583*a - 47625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11553.\nAnswer: 3, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**3\/3 - 6*j**2 + 5*j - 3. Let u be v(-10). Suppose -c + 5 = b, 7*c - 3*c + u = 5*b. Put 5, c, -1 in ascending order.\nAnswer: -1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + 3*x - 5. Let b(f) = -3*f**3 - f**2 - 2*f + 4. Let m(r) = 3*b(r) + 2*p(r). Determine m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*y - 2502437*i**2 + 227053*i + 23*y wrt i.\nAnswer: 2*y - 5004874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 32 - (4 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2867?\nAnswer: 860.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.151 - 1.351. Round r to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r = 12*r + 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*y - y = -212, -5*y - 108 = -2*d. Let w = d - 11. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i + 4. Suppose -2*z - 5 = -3*z. Let f be j(z). Let y = f + 1. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.81532 litres to millilitres.\nAnswer: 81815.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -15.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 267*j - 276. Let t be g(96). Calculate the highest common factor of t and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88881*v + 56 = -88877*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -1\/8 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11000000100?\nAnswer: 11000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -866 - -937 - (-6 + 1) - (2 - 2).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**3 + 3*g**2)*((-5*g - 8*g + 3*g)*(1 + 4 - 1)*(-14 - 13 + 22) - g - 2 + 2).\nAnswer: 398*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s + 2 + 3\/2*s**2. What is the lowest common multiple of 6 and n(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7))\/((a**(1\/3)*a)\/a))\/((a*(a*a**7*a)\/a*a)\/a*a\/(a\/(a*a\/a**(2\/3)))) assuming a is positive.\nAnswer: a**(-197\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*b = -9*y - 162, 141 = -5*y + 4*b. Put -4, y, 4 in decreasing order.\nAnswer: 4, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 812.99381 + -813. What is z rounded to four decimal places?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.37534 centuries to millennia.\nAnswer: 5.137534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 24*x - 98 + 290 - 104 + 12*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -53934*a. Let h(w) = 7*w. Give h(t(v)).\nAnswer: -377538*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -4\/15*k**6 + 39*k - 1\/21*k**7 + 0*k**2 + 0 + 4\/3*k**3 + 2\/3*k**4 - 3\/10*k**5. What is m in x(m) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/12 and -47\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**3 - 3*k**3 + 0*k**3)*(-108 + 299 + 127) as l*k**3 + f*k**2 + b + m*k and give l.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 130272 = -142554. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.9511 millilitres to litres.\nAnswer: 0.5219511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35563\/8745 - (-1)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -538 + 557. Suppose -x*u + 12 = -13*u. Solve -2\/3*r**u - 2*r - 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8))\/(6\/(-228)). Solve -22*h - 9 = -p*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 21*h = -35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 1. What is the remainder when 30 - (-2 + (-2)\/(-1)) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 4\/3 (c) -21 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*g - 40 = 0, 5*r - 49*g + 46*g + 38 = 0. Which is the nearest to 9? (a) 0.05 (b) -2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26, -111, -254, -455, -714, -1031, -1406?\n\"Answer: -29*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2 - 0. Let k(u) = -u**2 + 2*u - n*u. Let a(g) = 3*g**2 - g**2 + g**2. Determine k(a(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 50*m**2 + 4*m. Give y(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - 100.7. What is the nearest to l in 4, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26*(2 + 35\/(-10)). Let d = f - -102. Calculate the remainder when 246 is divided by d.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 41716935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -15860 - 19725. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1456 = -5*v. Suppose -v = -13*f + 15*f. Let q = f - -313. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4777495 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 185.96768 to the nearest integer.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -778, -1555, -2332?\nAnswer: -3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k - 2*k**2)*(-1 + 8 - 1)*(1 + 1 - 3)*(0*k + 2*k + k).\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-24) + (-13)\/84. Put -1, y, 0 in descending order.\nAnswer: y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 5*y**2 - 6*y + 2. Let g be d(6). Let m be (g\/(-6))\/((-4)\/(-12)). Let p be (-5 - -11)*m\/(-3). Solve 5*x - 12 = 3*q, p*q - 6*q - 16 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*p**2\/5 - 8025*p - 80178\/5.\nAnswer: -3*(p + 2)*(6*p + 13363)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 570799967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(13) + 1)*-4 + 3)**2.\nAnswer: -24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -39. Let x be 3 - 1\/((-2)\/(-6)). Let q be (-1)\/4*4 - (0 + x). What is the second biggest value in -2, 0.1, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 88, 211, 442, 817, 1372, 2143, 3166?\n\"Answer: 6*v**3 + 9*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-6))\/((-9)\/(-1704)). Let v = a - 152. Suppose -s - s = -v. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/80*(-12 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1330 and -34\/1843.\nAnswer: 129010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/96 and -53\/9563184.\nAnswer: 19126368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3826, 3824, 3820, 3814?\n\"Answer: -y**2 + y + 3826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/48232 and -53\/36174.\nAnswer: 144696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**5\/5 + 3*n**2\/2 + 9*n - 4. Let c(r) be the first derivative of m(r). Differentiate c(v) with respect to v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/286 and 1\/72?\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30272 and -90.\nAnswer: -2724480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 554380688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from vvvxvfccvbcffcbvccvc?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 1, u: 11}. Give prob of picking 4 u.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1443\/8 + -180. Let s be 30\/(-17) - (9 - 11). Let z = 25\/34 - s. Which is the third smallest value? (a) z (b) -0.01 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 12. Suppose l*n = 9*n - 780. List the prime factors of n.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 1 + 1 + (-2 + 1 - 1)*(-s - 2*s + s) - 3*s + 3*s + s)*(-20*s**2 - 21*s**2 + 43*s**2).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:40 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/(-1350)*9)\/((-16)\/30*(-117)\/(-78)).\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/63 + (-17)\/(-21). Let v = -3 + -2. Let u = 0.05 - 2.05. What is the closest to u in v, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {r: 1, o: 6, y: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d - 2 = -51*d. Suppose 0*m + 1538 = d*m. What are the prime factors of m?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 at least 187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3370.38 + 3369.5. Let d = -3 + 2. Sort 5, v, d.\nAnswer: d, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.072 - 0.002. Let z = o + -0.069973. What is z rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -84. Let v = -24 - b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2471*k**2 + 98 - 125 - 2*k - 1004*k**2 + 27 + 0*k**2 - 5*k**2 + k**2 + (-2*k + 0 + 0)*(2*k - 3 + 3) + k**2 + 0*k**2 - 2*k**2 + 0*k + 0*k + k**2.\nAnswer: -3483*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 453 - 134 = 5*v, 0 = -3*c - v + 1055. Calculate the remainder when c is divided by 83.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2651*i - 111900 - 131149 = 32655 for i.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2. Let q(i) = i**2 + i - 1. Let l(r) = 15*r**2 + 10*r - 10. Let g(s) = -l(s) + 10*q(s). Determine g(x(p)).\nAnswer: -45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9189 - -75.3.\nAnswer: 9264.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*o = -5, -2*k + 2*o + 2*o + 12 = 0. Suppose 26 = k*i - 4*b - 94, 114 = 4*i + 2*b. What is the highest common divisor of 145 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 30475207\nAnswer: 3\/30475207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*y - 4, 2*y - 31 = -5*u - y. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0*a)\/(a**(-1\/3)*a*a*a) assuming a is positive.\nAnswer: a**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39\/7 - -131\/21. Suppose 0 = 2*v + 2*v. Let q = 1.4 + 0.6. Which is the nearest to 0.1? (a) q (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 6*j + 5. Let g be c(-6). Let b be g\/(-2)*1*-6. Let v = 40 + b. What is the highest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3, 0.5, 6552.66, -3 in descending order.\nAnswer: 6552.66, 3, 0.5, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -1 - 13) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 14*p**2 + 19*p - 45. Let m be t(15). Solve -12 = f - 4*c, -4*f - 2*c - m = -3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let z(y) = -2*y**2 + 4491. What is z(j(d))?\nAnswer: -8*d**4 + 4491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 5*t + 38, -387*t - 16 = 2*u - 383*t for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14 - -1) + (17 - (-648)\/(-168)). Factor 0 + 6\/7*w**3 - x*w**4 - 9\/7*w**2 + 0*w.\nAnswer: -w**2*(w - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 14. Let z = -10 - 2. Let s be o(z). Suppose -11 = -4*h - 5*m - 0, 2*m - s = -h. Which is the third smallest value? (a) 2\/15 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5217586545?\nAnswer: 3, 5, 181, 1921763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-7)*i*i)\/i**15)**42 assuming i is positive.\nAnswer: i**(-798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + 1\/(-4). What is w in -4*w + 2 - 2*w**2 - 4 + o = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/90)\/(((-14)\/(-9))\/(-2)))\/(6804\/2646)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24990 smaller than 74971\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 16*o = -25. What is the units digit of o + -6 - (1 + -298)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0318 and -0.3?\nAnswer: -0.00954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/6 - 5*i**2\/3 - 17*i\/6 + 14\/3 = 0 for i.\nAnswer: -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -0.5, 90, 3?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-3 - 0)\/(-3). Suppose -40*d + 33*d = 63. Let i be (1 + d\/(-15))\/(4\/10). Solve -y + t = y + p, i*p = -2*y + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10246469726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-5)\/g)\/g*g*g*g**(-13\/3))\/((g*g**(-26))\/g**(-20\/9)) assuming g is positive.\nAnswer: g**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0*f - 1260020*f**3 + 2510*f**4 - 5\/3*f**5 + 0 + 632530040\/3*f**2 = 0.\nAnswer: 0, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -481*i*w**3 + i - 15854*w**3 wrt i.\nAnswer: -481*w**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.28 (b) 83 (c) 0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 3*o - 8. Let p(f) = -f**2 + 7*f - 9. Let s be (-1)\/3 - (3 - 22\/3). Let l be p(s). Let y(c) = c**2 - c - 3. Calculate l*m(g) - 8*y(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*(k*((k**(-2\/9)*k)\/k)\/k)\/k)*k\/(k*k\/(k**(-10\/7)*k*k)))\/(k**(-2\/3))**(7\/4) assuming k is positive.\nAnswer: k**(373\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-6129)\/(-36) - 10. What is the greatest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172 + -89. Let y = h + -911\/11. Let r(v) = 2*v + 3. Let w be r(-3). Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/70 + -1 + 1\/5. Which is the closest to -1? (a) -0.4 (b) 32.4 (c) 3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267\/(-2178)*(-2)\/6*134?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.273 (b) -9502 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -3130620.\nAnswer: -12522480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/96 and -79\/5888?\nAnswer: 17664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232402340 + -4?\nAnswer: -232402344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/20, -2\/13, -4, 97, -0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*b - 20, -5*v + v + 28 = -2*b. Suppose -v*o + 118 + 62 = 0. Suppose -o = 7*s - s. Let h(r) = r - 3. Give h(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mppm when four letters picked without replacement from {p: 4, m: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1920.726 + 1916. Let z = s - -19.7312. Let a = 15 - z. Round a to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 7 + 12)*(-1 + 3*q + 1 + (-7 + q + 3 + 1)*(-6 - 11 - 3)) to the form z*q + a and give a.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2669113.\nAnswer: 1249, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -20, -10, 4, 22?\n\"Answer: 2*r**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078073.\nAnswer: 53, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*x**4 + 2*f**3*x + 75*f**3 + 4*f**2*x + 5956952*f*x**6 + 3*x**2 - 441*x wrt x.\nAnswer: -24*f**3*x + 714834240*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*(o**(-7)\/o)\/o)**(-30)*(o**(3\/7)\/((o\/(o*(o**6\/o)\/o*o)*o)\/o))\/(o*o**1*o*o)**20 assuming o is positive.\nAnswer: o**(1242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 - 74*r - 16*r + 50*r**2 - 9*r**3 + 181*r**2.\nAnswer: -3*r*(r - 15)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 305 - 318. Is 13 a factor of r\/(-3)*(2 + 10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 2*m + 6 = 9*h, -3*h = 2*m + 2. Let j(t) = 3*t - 4. Let f be j(4). Suppose 0 = h*y - f*y + 1602. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/810 and 91\/2250?\nAnswer: 20250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/16*73\/(47523\/620)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027594038 to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 - 4*i**2 + 5*i - 2. Let c be d(2). Suppose -k = g + 9, 8*g - 6*g + c = -k. Calculate the common denominator of g and 131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11568)\/(-4338))\/(16\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a - 1470 = -33*a. What is the lowest common multiple of 6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 0*f**2 - 2*f**2 as d*f**2 + y*f + a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 8:47 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-117) + 17\/221. Determine c so that q + 1\/3*c**3 + c + c**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 14 = q. Let v = -4350 - -4391. What is the remainder when v is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 1 - (-13 - -45 - 40) - -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 101 + 148)*(2*m + 4*m + m) + 3*m + 2*m - 4*m + 2*m - m + 0*m.\nAnswer: 919*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3\/3 - n - 18. Let h(t) = 4*t. What is -3*h(j) - 5*z(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4725*s - 85160. What is y(18)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-10)*(-30)\/(-9). Let q(m) = m**3 + 5*m**2 + m - 1. Let p be q(g). Suppose 0 = 2*h + 3 - p. Solve u = -0*u - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -0.1, 0.3, -5, 2\/19.\nAnswer: -5, -0.1, 2\/19, 0.3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and (-1210178)\/(-4585) + 4\/70.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + 3*(-2 + 1 + sqrt(300)))*-5)**2.\nAnswer: -4500*sqrt(3) + 67725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 q when three letters picked without replacement from {u: 2, p: 1, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6497 and 13.59.\nAnswer: -88294.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 564033 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -749 + 770. Let h(n) = 2*n**3 + 0*n**3 - 2*n - 4*n**3. Calculate the remainder when h(-3) is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.088 - -4.812. Let q = u + -0.9. Let n = -4.2 + q. What is the closest to -1 in -3, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -66, 1\/11, 7.8, 12 in decreasing order.\nAnswer: 12, 7.8, 1\/11, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10250502034 + -21?\nAnswer: 10250502013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -31. Let h be c\/(-2) + (5 - 16) + 6. List the prime factors of 22\/2*h\/(-1).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 223*m - 5164. Determine y(23).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -504\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 + 58. Let m = d + 82. Let p(o) = -o**2 - 5*o - 1. What is p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 5*a**4\/12 - 55*a**3\/6 - 30*a**2 + 103*a + 1. Factor s(r).\nAnswer: 5*(r - 12)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1804*m**2 - 35*m**3 + 64*m + 46*m - 110*m.\nAnswer: -35*m**3 + 1804*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -97789*p - 5*p**2 + 1 + 97789*p - 1. Let f(u) = -u**2 + 6*u. Let m(t) = 4*t**2 - 17*t. Let h(c) = -17*f(c) - 6*m(c). Calculate j(h(v)).\nAnswer: -245*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/4 - 2*v**3\/3 - 7*v**2\/2 - 4*v - 132. Let o(y) = 0. Calculate y.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 7*s**2 - 5*s + 4. Let j(g) be the second derivative of g**5\/20 - g**4\/3 - g**3\/2 + g**2 + 379*g. Determine 5*j(v) - 3*l(v).\nAnswer: 2*v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 4. Let w be q(5). Let h be 7\/28 - w\/(-4). Suppose h = -3*m - 2*n + 24, -m + 4*m = 5*n + 24. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 - -40 - (-34 + 22)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 6*x + 2. Let y = 159 - 96. Suppose 4*q - 163 = -5*m, 3*m - q - y = 45. Let f = 40 - m. Determine v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26719238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ijvjiiijjinjinninjij.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 22915\nAnswer: 22915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2845 and -0.04645.\nAnswer: 132.15025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxlxxfxxffxfxfxfxxx. Give prob of picking 1 f and 1 l.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5139, -134, 3 in ascending order.\nAnswer: -134, 0.5139, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/3 + (-456)\/(-90). What is the second smallest value in 1, -5\/2, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131600 rounded to the nearest 1000?\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -39*x + 14. Let q(v) = -58*v + 19. Let j(i) = 7*g(i) - 5*q(i). Let d(h) = -67*h - 11. What is -6*d(n) - 22*j(n)?\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -112*h - 1001. Let q be g(-9). Which is greater: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*a - 0*n + 4*n, 2*a - 5*n + 14 = 0. Let d(f) = -53*f - 6. Let i be d(a). What are the prime factors of (-1)\/(i\/81 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = -2*t, 8*h = 4*h + 8. Let m(r) = 134*r**2 - 3*r - 2. Let k be m(-2). Suppose j + t*j = k. Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/12)\/(r\/r**(2\/25)))**(-1\/36)*(r\/(r\/r**(1\/5))*r*r*r**(2\/7))\/(r**(-2)\/r*r*r)**(2\/3) assuming r is positive.\nAnswer: r**(240077\/75600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 10*h**2 - 3*h - 24. What are the prime factors of m(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058644 rounded to five dps?\nAnswer: 0.00586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43a31 (base 11) in base 7?\nAnswer: 354003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 10. Suppose -3*d - d + 4*y + 24 = 0, 2*y + 2 = d. Let q be h(d). Which is bigger: -0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, 0.4, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 92*c**2 + 801*c - 78. What is the remainder when o(100) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269939, 540179, 810413, 1080641, 1350863?\nAnswer: 1621079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135.5 + 118. Let u = z - -17. Which is the third biggest value? (a) 1.5 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(448)*-5 - 3*(sqrt(448) + 1)) + -1 + 4)*-3)**2.\nAnswer: 258048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 8.8, -2 in decreasing order.\nAnswer: 8.8, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a - 7. Let x(q) = q**3 + 11*q**2 - q - 11. Let i be x(a). Solve -v + i*v = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 + 3652 + 1404 = 29*i. What is the greatest common factor of 656 and i?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 6, e: 2, h: 2}. Give prob of sequence ew.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7963 and 592.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*f**2*s**3 - 30*f**2 + f*o**3 + 130*o**3*s**3 + o**3*s**2 wrt f?\nAnswer: 60*f*s**3 - 60*f + o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.8 - 0.8. Let c = h + -2.8. Let m = -11 - -11.1. Which is greater: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 1 - (11072\/(-519))\/((-7)\/(-3))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -47. Let u = 50 - w. Let a(d) = 3*d**2 + 7*d - 2. What is the tens digit of a(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41670c (base 14) to base 2\nAnswer: 1000011010111101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -806, -1833, -3260, -5081, -7290?\nAnswer: -9881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*f - 31*f. What is the third biggest value in 3\/2, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o**2 - 9. Let g(x) = 1. Suppose -4*d - 70*f = -63*f + 36, d + f + 6 = 0. What is d*q(a) - 18*g(a)?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.5 (c) -1072 (d) 0.06 (e) 5 (f) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/8)\/((-7)\/700). Is a at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 16180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10\/w**(-5))**16\/((w\/(w*w\/(w\/(w\/(w**(1\/3)*w)))))**(-7)*w**(-8)*w*w**(1\/3)\/w) assuming w is positive.\nAnswer: w**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715 and 1052116.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-1\/4)*y))**(-5\/6) assuming y is positive.\nAnswer: y**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.382 + 13.38773. What is x rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1161 and 2193?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -77997.7?\nAnswer: -78003.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 425, 432, 441, 452?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 132. Let w = l + 425\/7. Which is the closest to 0? (a) w (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 c when four letters picked without replacement from {n: 3, c: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (352\/(-880) + (-328)\/(-770))\/(1\/7). Which is the nearest to -7? (a) h (b) -17 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = -3423 + 193. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (776\/32980)\/(3\/((-45)\/2)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -80. Let c = o - 26. Suppose 4 = -c*y + 54. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14\/15)\/((-8)\/(-170)) and 346\/25085 + 28370\/(-17400).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from qmm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 - 2153338*o\/3 + 1159216135561\/3 = 0. What is o?\nAnswer: 1076669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**4 + 5*z**3 - 5*z**3 + (-7*z**2 - 18 + 18)*(0*z**2 - 3*z**2 + 2*z**2) in the form j*z**2 + n*z + a*z**4 + x + v*z**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 229440 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017057 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23701899 is divided by 4740376.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 7685*w - 139950.\nAnswer: 5*(w - 1555)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4638472.14 to the nearest 100.\nAnswer: -4638500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**4 - 3*k**3 - 1229.\nAnswer: -32*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 14 + 14 = -2*p, 0 = -3*k + 5*p + 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/126*-1*10\/((-120)\/36)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1805\/3 + -602. Which is the biggest value? (a) 10\/13 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91.3 - 91.301431. Round f to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.0495, 9, -23, -2\/11, 3.\nAnswer: -23, -5, -2\/11, 0.0495, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:57 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/5)*m*m)**(-3\/17))**(-2\/195) assuming m is positive.\nAnswer: m**(28\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 99 - 130 + u**2 + 31.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*f + 2 - 2)*(0*f**2 + f**2 - 2*f**2) + 0 - 2*f**3 + 5*f**3 + 1.\nAnswer: 34*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-713)\/(-141) - 1)*168\/(-112). Let h = n - -5899\/282. What is the common denominator of h and 58\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*d - 4*g - 1091219580, -5*d - 5*g = -1091219560. Suppose 0 = -8*a + d - 60643914. What is a rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 2*m**2 + 25*m + 7*m - 10472*m**4 - 32*m - 2*m**3 in the form j*m + v + w*m**4 + n*m**3 + i*m**2 and give w.\nAnswer: -10472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0*o + 2*o - o**2 - o**2 + 1. Let b be k(-1). Let m = -3 - -4. What is the nearest to 1 in 0.1, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -8*j**6\/5 - j**4\/6 + 370*j**2 + 428*j. Differentiate u(r) wrt r.\nAnswer: -192*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5 - 1798*s**4\/3 - 400*s**3\/3 = 0.\nAnswer: -2\/9, 0, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5376*g**2*w**3 - 18*g**2 - 254*w wrt w.\nAnswer: -32256*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.3 - -4.4. What is the third biggest value in -5, -1\/4, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 991 - 512. Let b = l - 280. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.77989 to 1 dp.\nAnswer: 194.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*j = -4 - 8, 4 = -4*k + 3*j. Suppose c - 2*d = 8, -2*c + 18*d = 17*d - 4. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f*o**2 + f*o - 35562*f + 69*o**2 + 11*o wrt o.\nAnswer: 10*f*o + f + 138*o + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28015 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 p when four letters picked without replacement from {p: 6, c: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -4, 126, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20111212 (base 3) in base 13?\nAnswer: -2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:37 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*j + 252, 2*n = -2*n - 3*j + 329. Suppose -d - 4*o + n = 0, d = 9*o - 4*o + 125. What is the highest common divisor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73409, -146879, -220363, -293867, -367397, -440959, -514559, -588203?\nAnswer: -661897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 475921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*r + 2*r. Let o(x) = -x**3 + 4*x**2 - 4*x + 1. Let a be o(r). Let m be ((-3)\/a)\/((-12)\/(-32)). Solve 4*i = -0*i + m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*d + 123 = 0, d = z + 6*d - 69. What is the highest common factor of z and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106 + 210 + 1317*u**2 - 104 + 277*u**2 as h + b*u**2 + d*u and give b.\nAnswer: 1594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3510 and 63621675?\nAnswer: 381730050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 408\/(-52) + (-4)\/26. Let w = -8 - 9. Let l = p - w. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26690.41l?\nAnswer: 26690410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 3108.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y + 20. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -338?\nAnswer: 1\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/1324?\nAnswer: -1\/1324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 151.8851\nAnswer: -149.8851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, w: 6, l: 1, b: 2}. What is prob of picking 2 q and 1 w?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -511288, -511301, -511338, -511411, -511532, -511713?\n\"Answer: -2*b**3 + b - 511287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2040 - 693. Suppose 0 = 12*d - 991 + 931. Suppose -5*m - q + 780 = -571, 3*q = d*m - n. Is 54 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 24*l**2 + 94*l + 2737. What is the units digit of q(-41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m. Let j(n) = -3*n**2 + 3*n**2 + n**2. Give c(j(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0303 to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 + 6 + (-117)\/36. Let y(b) be the second derivative of -5\/3*b**2 - 12*b - 2\/9*b**w + 0 - 1\/90*b**4. Factor y(f).\nAnswer: -2*(f + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 3\/(-6)*14. Suppose 40 = u*r + 15. Let f(b) = 4*b + 9. Let x(t) = -6*t - 13. Give r*x(a) + 7*f(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 291 + -285. Suppose 0 = -5*y + p*y - 4861. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (115 - 78) - ((-3 - (-2 + 2)) + -3)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -3. Let f(i) = 12*i - 178. Calculate the smallest common multiple of l and f(16).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38146656 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(4) + sqrt(100)) + 2 + -3 + sqrt(3388)\/sqrt(4))**2*5.\nAnswer: -335*sqrt(7)\/3 + 157295\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 7*x - 2. Let q be j(6). Let h be 152\/11 - q\/(-22). Let c = -4 + h. Calculate the smallest common multiple of 11 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 3*l**4 - 4*l**4 + (4 - 2 - 1)*((-4 + 1 + 2)*(10 - 32 + 11) + 4 + 0 - 2)*(3*l**3 - 3*l**3 + 4*l**4).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -257 + 446. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3 - 664*c**2 + 33124*c + 33784 = 0.\nAnswer: -206, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -w - 18 + 2, -3*w + 5*x = -2. Suppose 0 = 5*m - 11 - w. Solve 0 = -m*t - 3*u - 10, 2*t = 2*u - u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61721*h - 8093*h - 14723*h.\nAnswer: -84537*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -1 (b) -2 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -520 times 2163?\nAnswer: -1124760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010000 - -11111100?\nAnswer: -101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 - (-16 + 2)) + (-5 - 68 - 0)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 28 = -5*a, a = -4*v - 18 + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 77. Let c be s(40). Let p(y) = c - 3 + 1776*y - 1774*y. Let z(r) = -6*r. Determine z(p(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2 + 2 + 3*m - 6 + 3. Suppose 5*t = t + 20. Does 12 divide n(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**4\/24 - 10*k**2. Let g(f) = -3*f. Give g(v(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11241314 (base 6) in base 5?\nAnswer: -42111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 164?\nAnswer: 8036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -13.7. Let z = n + -0.45. What is z rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 smaller than 343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 132?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*a + 1. Suppose -a*g + 6*g - 2*o - 32 = 0, -6 = 3*o. Suppose -3*h + g*h - 84 = 2*l, 0 = -4*h - 4*l + 84. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/((-2)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - c + 101 = 0, 3*c - 195 = -4*n + 8*c. What is the highest common factor of n and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2*c. Let q be d(-2). Suppose t - 3 = v, -3*t + 4*v + 14 = 6*v. Let j be t\/(3\/((-6)\/4)). Put q, j, -3 in descending order.\nAnswer: q, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2*y + 26. Suppose -19*u + 16*u = -5*w + 20, -4*u = w + 19. Is q(u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*-40*90\/(-140). Let s be 1*(-107)\/d - 56\/(-126). Is s equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 4*f**2 + 2*f - 5. Let m be w(5). Let y = -18 - m. Solve 1 = -y*s - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -124770.98?\nAnswer: -1247709.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/5 of a millennium in decades?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -1.8459 to two decimal places.\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*h - 1)*(-3 - 1 - 4).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1081596 and 97\/624.\nAnswer: 56242992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - x - 7 - 4.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 424*d + 28 = 422*d, -5*f - d - 21 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 e when three letters picked without replacement from ceiecihchclcvceecihi?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.04 - -2.04. What is the third smallest value in f, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b - 205*b**2.\nAnswer: -205*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/15 and ((-1141)\/357 - 1) + 5?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 27 + 5. Suppose 2*b + 0*p = 2*p - 14700000, 29400000 = -n*b - 5*p. Round b to the nearest one hundred thousand.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 21, -4*h - 2*y = 63 - 77 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-11 - -4 - -4). Suppose -v*m = -247 - 1001. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -582 and -0.041.\nAnswer: 23.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6119505, -12239010, -18358515, -24478020, -30597525, -36717030?\nAnswer: -42836535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 687dc9 (base 14) to base 6\nAnswer: 204115525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -146151, -146144, -146137, -146130, -146123?\n\"Answer: 7*z - 146158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(-55)\/11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 438\/27 - 2\/9. Suppose 60*y = -111 + 411. Solve -i + y*i = o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i**(-9))**(-5\/2)*(i*(i*i\/i**(-1\/2))\/i*i)**1\/(i\/(i*i**5)*i**6) assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 + 59. Suppose 2*i - 1952 + 980 = 0. Let s = i + -549. Do s and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((sqrt(77)*1 - sqrt(77))*-6)\/(sqrt(49)\/sqrt(7)*-5))**2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/2)\/((-2)\/16*2). What is the remainder when 32 is divided by (-27)\/j*(3 - -9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 13) to base 10\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -50, -51, -50, -47, -42?\n\"Answer: m**2 - 6*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -3 - 9 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 50*i - 20. Let a(f) = 7*f - 3. Let d = 12 + 8. What is d*a(g) - 3*s(g)?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 30479827?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2918, 2443, 1956, 1451, 922, 363?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2 = 4*w, 15*w + 2*q + 13 = 14*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/4)\/((-858)\/(-132)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-3 - (8 - (-10 + -17))) - 14\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daba when four letters picked without replacement from {a: 4, g: 3, b: 1, q: 1, c: 4, d: 1}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -70. Let j = -14 + k. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r = 576 - 633. Solve 0 = 2*d - f - r, -4*d + 7*f = 10*f + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*a + 2. Solve -t - 25 = -5*n - 4, -4*t = a*n - 41 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 8380*q - 101136.\nAnswer: 4*(q - 12)*(q + 2107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*h + 5*m, -367 = 5*h - 4*m - 350 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 8*b**2 + 11*b - 14. Let d be l(-10). Suppose 3*k - d = -8*h + 3*h, -4 = 4*h. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53958597?\nAnswer: 3, 7, 11, 109, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (0 - 2)) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13127 = 5753. Let r be (1375\/22)\/(2\/h). Round r to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 7*a = -17*a - 2942. Calculate the remainder when a is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 + 10*p**4 + p**3 - 18*p**3 - p**3 + 24*p**2 - 4*p - 10*p**2 = 0 for p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*v = -8*v - 5*v + 150 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3243\/8 - 29183\/72. Let g(l) be the first derivative of -24 - 1\/30*l**5 + 1\/12*l**4 - j*l**3 + 0*l**2 + 0*l. Factor g(s).\nAnswer: -s**2*(s - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/40 - ((-5406)\/60 - -6). Calculate the greatest common factor of 2004 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Let l = 25.8 - 25.9. What is the nearest to 1\/6 in l, x, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-3)*((-2 - -3) + -4). Calculate the highest common divisor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -2, -4, 4 in ascending order.\nAnswer: -40, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013412 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 39. Suppose 1026 = 23*p + 15*p. Calculate the greatest common divisor of p and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 3 + 0)*(2*b + 0*b + b) - 4 + 4 - 6*b to n + r*b and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1102 by 6245.\nAnswer: -1102\/6245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 122, 290, 526, 830?\n\"Answer: 34*m**2 - 2*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 779 - 487. Let f = o - 297. Which is the second smallest value? (a) f (b) 4\/7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, u: 2, z: 6, n: 4}. Give prob of sequence zzu.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 3. Let s(d) = 2*d + 2. Let j(l) = 5*h(l) + 7*s(l). Let f be j(-3). Solve -t + 2 = -f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 5*z**2 + 4*z**2)*(-2*z**3 + 3*z**3 - 3*z**3 + (-3*z**2 - 3*z**2 + 5*z**2)*(2 - z - 2)) + (0*z - 4*z - 3*z)*(-5*z**4 - 9*z**4 - 2*z**4).\nAnswer: 115*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from zhhzzhhzzhzhzh?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 28*s + 98 = 0. What is s?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11111\/6 - 1877. What is the common denominator of a and (170\/(-5))\/(16\/10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 804 - 570. Let s = f + -621. Is (-1)\/(390\/s - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 + 3 + -1 + 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**2 + 3*r + 2. Let d(n) = 12*n**2 + 4*n + 3. Let a be 11 - 1*(22 - (-80)\/(-10)). Give a*m(i) + 2*d(i).\nAnswer: -12*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 475.5 + -386. Let r = g - 79.6. What is r rounded to one dp?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*l - 2 + 10*l - 28*l + 17*l to the form r*l + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 217516878 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 + -981. Let y = 893 + d. Which is the nearest to -1\/2? (a) 0.5 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-90 - 0\/2)\/(-19 - -18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.093 * -0.4\nAnswer: 0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**2 + 2*k + 2. Let o(l) = 20*l**2 - 5*l - 6. Suppose 18 = 2*a - 16. Let i(y) = a*s(y) + 6*o(y). What is the remainder when i(3) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3345\/(-20) - (-2)\/8. Let m = 728 - 469. Let g = m + f. Calculate the remainder when g is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453361055 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/120 and 113\/212820?\nAnswer: 425640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -74. Let c(w) = -w**2 + 4*w - 3. Let s be c(2). Sort v, -3, s in ascending order.\nAnswer: -3, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**5 - 740440*m**4 - 10365525*m**3 - 51086230*m**2 - 103652300*m - 74037000 = 0.\nAnswer: -148074, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.78 (b) -15 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 122 = 7*u + 5*c + 87, -u - u - 10 = -3*c + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -297567 + 162244. Let n = m + 135228.0165. Let z = -95 - n. What is z rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 + -14 + 31 + -20 + 6 + (8 - 1)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 5286049.\nAnswer: 6\/5286049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/28)\/(402\/42 - 10). Let y be 10\/(-15) + 16\/6. Solve -n = 5*v + b*n + 20, y*n = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -45, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71185435*v - 56731705?\nAnswer: -71185435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 66 - 23 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -687 - -1202. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 173, 3\/5, 7\/4, -51, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 384396\/293 or 1313?\nAnswer: 1313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and (-28)\/8*(2006\/(-14) - 5)?\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s + 2064 = 0. Suppose -5*w + s = -i, 0*i - 130 = -w + 4*i. Let x = w - 60. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 12*t - 12. Let i be n(-13). Suppose -2 = -3*j + i. Which is the closest to -0.1? (a) 5 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(4 - 0) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:02 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 335*m**3 + m + 11. Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8961 + 8974. Suppose 0 = -4*l - 0*l. Let r = l + 2. Solve r*u + c + c = -16, -2*u - c - k = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 20. Let i be f(-6). Let k(c) = -c + 19. Let q be k(i). Solve 0 = q*r - 4*u - 11, -3*u - 19 = -r + 2*u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -318 + 23*g - 192 - 285 + 654. Give a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-27)*p)\/((p\/(p**(1\/55)*p))\/p)*(p*p*p**(-14\/3))\/(p*p*p**(1\/4)*p))**(2\/53) assuming p is positive.\nAnswer: p**(-20393\/17490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goo when three letters picked without replacement from ggqoqqgoooqgqqo?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x**3 + 13*x**3 - 1 + 6 + 3 + 60*x - 28*x**2. Suppose 4*t = 48 + 56. What is the hundreds digit of g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29243.403 months?\nAnswer: 2436.95025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009299547018 to 5 dps.\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 2*u**2 + 2*u. Let q = -1 - 2. Let o be r(q). Let z = 0.3 - -4.7. Which is the second biggest value? (a) z (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 11:10 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-5)*1*-5. Let r be ((-12)\/x)\/((-1)\/(-18)). What is the greatest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Let p be (-1)\/x*(16 - 12). Let a = -8 + 9. What is the third biggest value in a, p, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/60 + p**4\/24 - p**3\/6 + 3545*p**2 + 2. Let f(x) = -x**2 + 4*x + 7. Let a be f(5). Calculate z(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 25*z**2 - 51*z + 16. Give a(-9).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 28, 34, 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 + -2679.72.\nAnswer: -2419.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 5, -2, -44864?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249305 is divided by 31044.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**2 + 2*p. Let c be v(2). Let n be c\/8*(-1 - -3). What is the units digit of 2\/n*(-13 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p)**(-31)\/(((p**6*p)\/p*p)\/p**(2\/21))*(p**(-1\/2))**(1\/3)*(p*p**(-5)\/p*p)\/p**(-5\/6) assuming p is positive.\nAnswer: p**(1087\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669 - 233 = -41*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 25 - 69 = 0. Let c = n + 63. Calculate the remainder when c is divided by (0 - 6\/(-4))*14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 5345207.\nAnswer: -3\/5345207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**2 - 5*m. Let v(p) be the second derivative of 10*p**4\/3 - 4*p**3 - 11*p. Suppose -13*o - 53 = 12. What is o*v(q) + 24*l(q)?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.717\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1759, 1901, 2139, 2473, 2903?\nAnswer: 3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*f = -200*f - 114*f + 43605 for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2 - 4*n - 166. Let w(b) = -8*b**2 - 5*b - 165. What is 4*u(o) - 3*w(o)?\nAnswer: -4*o**2 - o - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.948 + -0.232. Let l = 0.88 + p. Let u be (2*1)\/(5 + 0). Which is the biggest value? (a) l (b) u (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1008 * 0.2\nAnswer: 0.02016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295247.\nAnswer: 577, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 8:11 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -877*p**3 - 3*p - 6. Let s(f) = -629691*f**3 - 2155*f - 4310. Calculate 2155*l(m) - 3*s(m).\nAnswer: -862*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 263, 311, 361, 413, 467?\n\"Answer: k**2 + 45*k + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 39*b**2 + 4*b - 3. Let l be k(4). Factor -22*q - 70*q**4 - 273*q**4 - 8 - 70*q - 378*q**2 - l*q**3.\nAnswer: -(q + 1)*(7*q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:01 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*m + 12, -2*m = -2*p + 3*m - 15. Let f be p + 6 + 0 + -3. Suppose -2*j = -5*v - 315, -f*v = 5*j + v - 738. Is 30 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 83*p**2 - 8620*p - 1257. Calculate h(104).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1087, -1887, -2687, -3487?\nAnswer: -4287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -56, 2098, -4 in ascending order.\nAnswer: -56, -4, -3, 2098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013671 is divided by 959.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488, -474, -452, -422, -384, -338?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:50 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307768030 is divided by 159.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 3:14 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 332752*x**2 + 1. Let r(k) = -2*k**2. Determine d(r(f)).\nAnswer: 1331008*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(7\/(-18))*(-73)\/(-146)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2 + 2)*(0*a + 3*a - 2*a) + (-a + 0*a - a)*(-3*a + 3*a + 3*a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 16. Let g be o(4). Suppose g = -3*t + t + 140. Suppose 0 = 6*p - 11*p + t. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1370, -1358, -1346, -1334?\n\"Answer: 12*u - 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let o = 6 - i. Find the third derivative of 0*q**4 - 2*q**o + 0*q**2 - q**2 wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.43 in -1, -3, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3050*f*g*s**2 + 3*f*s**2 - 14*g*s**2 + 2*g*s + 292*s**2 wrt f?\nAnswer: 3050*g*s**2 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + -3.98. Which is the nearest to -1\/2? (a) v (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236402188 a multiple of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-9 - (6 + -14)). Let s be (-4)\/3*(0 + -6). Let k(f) = 2*f. Let w(v) = -3*v. Determine l*w(c) + s*k(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 25665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -38*c**3 - 15*c**2 + 29*c + 2. Give h(2).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - -37. Let w(z) = -11*z**2 - 2*z + 13. Let h be w(4). Let g be ((-4)\/(-5))\/(-1 + h\/(-165)). Calculate the highest common divisor of g and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*o + 46*o - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150 + 402. Suppose 95*h = 104*h - r. What is the smallest common multiple of 16 and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 26*c**2 + 168*c - 76. Determine n(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k. Let w(v) = -9*v. Let s = 4 + -3. Let z(l) = -l. Let p be ((-6)\/5)\/((-3)\/(-15)). Let f(q) = p*z(q) + s*w(q). What is f(c(y))?\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*g - 19 = 21, -4*g + 48393 = -5*x + 48348 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 - -463. Suppose -t = -14*t + c. Let r(d) = -75*d**3 + d**2 + 2*d + 1. What is the remainder when r(-1) is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15358812 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 32*l**2 + 70*l - 41. Let q be u(34). Calculate the greatest common divisor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - 9\/3 - -84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*((sqrt(288)*1 - sqrt(288)) + sqrt(288)) + sqrt(288))\/sqrt(8))\/((-2*sqrt(120)*2 - sqrt(120))\/(sqrt(90)*-2)).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {p: 3, b: 1, m: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9786*y**4 + 122*y**3 - 1623*y**2 - 2*y + 605?\nAnswer: -234864*y + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(1\/2))**(-26)\/(k*k\/k**(-6)*k\/k**(-1))*(k**(-1)*k\/(k*k**(-7)))**(2\/23) assuming k is positive.\nAnswer: k**(-1713\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*x - 3*t = -94*x - 13, 52*t - 225 = 7*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -1441, -2512, -3581, -4648, -5713, -6776?\nAnswer: -7837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -276*t + 10166. What is w(37)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1222 + -523. Find h, given that 2*h**3 + 58*h**3 - 2*h**4 + 34*h**2 - r - 653 - 588*h**2 + 1560*h = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633045630 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*y + 266*y = -5980 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*x*y + 373362727*x - 34721502*y wrt y?\nAnswer: 3*x - 34721502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 5*x + 8. Let q be z(-6). Does 12 divide ((-124)\/8)\/(q\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 20*y - 8, 0 = 5*x + 2*y - 68. Calculate the remainder when -8 - 100\/(-12) - (-1016)\/x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/8)*k)*k\/(k\/(k*k**1)*k))**37 assuming k is positive.\nAnswer: k**(259\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 - 5. Let p = -16 + 49\/3. What is the third smallest value in u, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 3, 9, 17?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774640873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i - 5. Let y(r) be the third derivative of -r**4\/3 + 2*r**3\/3 + r**2 + 12*r. Calculate 6*m(o) + 7*y(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q - 5*q + 6*q - 3*q. Determine k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4820 times 0.15?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186529633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 342\/9288 + ((-5)\/(-6))\/(-5) and 64\/27.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*m - 32*m - 20. Suppose 5*y = -3*x - 28, -x + 3*x + 4*y = -22. Calculate the remainder when 1*x + 6*2 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*j + 792*j + 4 - 465*j - 4.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/80292 and -99\/374696.\nAnswer: 1124088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t - 12. What is the least common multiple of z(8) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.9 + -51.13. Let h = -0.23 - r. Which is the second biggest value? (a) 0 (b) h (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k. Let l(d) = 20*d + 13620 - 6813 - 6808. Give l(c(p)).\nAnswer: -160*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 + 3. Let i = -0.9 - -0.3. Let d = u - i. Which is the nearest to -1\/3? (a) -2 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 534?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*c - 1 - 4, 5*c + 30 = 5*l. Let a(d) = -3*d**2 + 2*d**2 + 2*d**2 - 5*d + 6. Give a(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2102 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*p - 5 = -1, 5*b = 4*p - 6. Let x be -4 + -15*(-2)\/6. Let o be ((-1)\/(-2))\/(x\/(-8)). Sort o, 2, b.\nAnswer: o, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230596271.\nAnswer: 241, 956831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 831994, 1663977, 2495960, 3327943, 4159926?\n\"Answer: 831983*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 - 117. Calculate the remainder when r is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -260, -2, 58?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1528 and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 - 7*c**4 + c**4)*(-4*c + 4*c - 3*c + (4 + 0 - 3)*(3 - 2*c - 3)).\nAnswer: 15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/31)*x)\/(x*x*x**(-3)*x))\/(x**2)**(9\/7))**(-48) assuming x is positive.\nAnswer: x**(17040\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 3*y + 18. Let k be f(-7). Suppose -4*q + 64 = 2*w, -2*w + 4*q = -0*w - k. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 10*c - 30. Let m(l) = 2*l - 12. Calculate m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4. Let z be (2*3)\/(120\/(-60)). Put z, x, 3 in ascending order.\nAnswer: z, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*g**4 - 31*g**4 - 959 - 55*g**4 - 2*g**3 - 134*g**2 + 9*g**2 with respect to g.\nAnswer: 8*g**3 - 6*g**2 - 250*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/20 + 11*q**2. Let s(x) = -2*x. Determine p(s(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13549537 by -3.\nAnswer: 13549537\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from {j: 8, z: 5, w: 4}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7504342 divided by -3752171?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 3:14 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 69*o**2 - 4014*o - 40222. Determine k(-10).\nAnswer: 6818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -11*s + 128. Solve b = 3*b + s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4320 - -4320. Solve -2*y - 4*d + j = 18, 0 = y + 5*d + 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485883?\nAnswer: 3, 53987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/10 + w**4\/6 + 117*w**2. Let b(v) = -11*v**2 + 7*v - 1. Calculate 4*b(x) - 7*l(x).\nAnswer: -2*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68773824 and 5698?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddhd when four letters picked without replacement from dddddhdhhhhhh?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 + 3 + (6 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4. Let g(y) = -y**3 - 5*y**2 - 2*y - 6. Let u be g(-5). Solve 4*n + 20 = -u*h, -h + 0*h = o*n + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*y**4 - 2234697*y**3 - 50333*y**2 + 1540 wrt y?\nAnswer: -840*y - 13408182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-14)\/(-4))\/(14\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454861854?\nAnswer: 2, 3, 25270103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -ba0a2c (base 15) to base 2\nAnswer: -100001110011011111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103734 and 23052?\nAnswer: 207468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -8 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 79. Calculate j(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 2 w when four letters picked without replacement from {l: 3, c: 1, o: 2, w: 4, k: 3, e: 3}.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 minutes before 5:15 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: ((48\/18)\/(-8))\/((-8)\/(-6))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i - 391 = 61*i + 137 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 12. Let i = l - -7. Which is the second biggest value? (a) i (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a + 10. Determine p(-10).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -706 (base 15) to base 4.\nAnswer: -120231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -649 + 1104. Let d = n + -455.0718. Round d to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b - 24*b - 67*b = -897 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516800 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 138.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (15 - 6) - 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 3. Let j be ((-8)\/10)\/(1\/5). Let i be ((-6)\/(-5))\/(j\/(-10)). Suppose 0 = -5*o + 25, x - 6*x - i*o = 0. Give q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53.3 or -3\/7?\nAnswer: 53.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5\/5 + 66*a**4\/5 - 1368*a**3\/5 - 66*a**2\/5 + 273*a = 0?\nAnswer: -35, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 437304622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 17 + 12 + 170 + -271\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010101 + 1010?\nAnswer: 1100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, x: 3, l: 3}. What is prob of sequence ix?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/55 + 2\/15*3. Suppose -x = -4*x + 3. Let g = c - x. Sort -4, -1, g.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/140 and 91\/348?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2105*b**2 - 25*b + 25. What is the thousands digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217\/936 + -1\/104. Put b, 2\/17, 5\/4, 0.2 in decreasing order.\nAnswer: 5\/4, b, 0.2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*l**2)*(l**3 + 4*l**3 - 4*l**3) + (3*l**2 - 6*l**2 + 2*l**2)*(-3*l**3 + 18*l - 18*l)*(2 + 2 - 5).\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(608))\/(sqrt(90)\/sqrt(5)).\nAnswer: 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12962 is divided by 114?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 69*i - 715\/2.\nAnswer: (i - 143)*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.02514, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139384 and 798.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -323148.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**3 - 44*s**2 + s + 26. Let p(a) = -5*a**3 - a + 3. What is -p(h) - w(h)?\nAnswer: 2*h**3 + 44*h**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2731794?\nAnswer: 2731794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(135)\/sqrt(3))\/sqrt(5)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n**2 + 3*n + 2. Let b be q(3). Suppose -s = 0, -99 - 3 = -b*f - 5*s. Let y be f\/4 + (-9)\/12. Solve y + 0 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 44*l**2 - 56*l - 96.\nAnswer: 4*(l - 2)*(l + 1)*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x**3 + x**2 + 4*x - 6. Let n(g) = -210*g**3 + 15*g**2 + 55*g - 85. Let a(d) = -6*n(d) + 85*y(d). What is v in a(v) = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23611626, 47223251, 70834876?\n\"Answer: 23611625*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q**2 + q. Let m(p) = 27524*p**2. Give v(m(y)).\nAnswer: -11363558640*y**4 + 27524*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 253 and -3450708?\nAnswer: 3450961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 333473 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*q + 19 + 31, g + 4*q = -10. Find the common denominator of (-123)\/g*(-6)\/(-8) and 21\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6*h**3 + 0 - 5 + 2*h**3 as f + y*h**3 + q*h**2 + u*h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2\/3*m**3 - m**2 + 24 + 12*m. Find f such that c(f) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -87. Suppose -11 = r + b. Round r to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10579 + 1445 = 4*v, -5*s = -5*v - 22845. What are the prime factors of s?\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 13*l + 12*l + (-3*l + l + 0*l)*(0 + 1 + 1) + 48*l + 515 - 515.\nAnswer: 69*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((54\/(-1386))\/(-1*48\/56))\/2?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 73 - 18 - 24 - 38*t**3 - 22 as n*t**3 + d*t + s*t**2 + v and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 22*j**2 + 26*j + 1124. Let r be a(-23). Let v = -0.13 - 0.05. Sort 2, r, v.\nAnswer: r, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25245535 and 35?\nAnswer: 25245535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.6 + 11.3. Let a = c - -4.93. What is a rounded to one decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 + -86 - -20) + 6 + 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 7*q**2 - 17*q + 9. Let d be x(5). What are the prime factors of 8\/52 - 3376\/d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/n)\/n**(-1\/5)*(n**(-2\/3))**(1\/26))\/(n*n**(-5)*n*(n\/n**(-3\/5))\/n*n**(-3\/5)*n*n*((n**(1\/9)\/n)\/n)\/n*n) assuming n is positive.\nAnswer: n**(3547\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 98 (c) 3 (d) 8.2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 7. Let r be a(-6). Let h be 0*2*r\/(-2). Solve -2*v - f + 5 = v, v + 5*f + 17 = h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 14. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422 + 2719 - 3*b**2 + 1397 + 1148.\nAnswer: -3*b**2 + 4842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o - 153*o**4 - 7864426 + 7864426)*(-4*o + 2*o + 3*o)*(1 + 0 + 0).\nAnswer: -153*o**5 - 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-340)\/153)\/(15\/18)*-6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 17*h - 6. Let p be k(9). Calculate the highest common divisor of p and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*z**2 + 8*z**2 + 20*z + 25*z - z**2 - z**4 wrt z.\nAnswer: -12*z**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7176480 divided by -2.\nAnswer: -3588240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/6 - 8\/12. Calculate the highest common factor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 12*o - 11. Let v be q(11). Suppose 3*p = -5*j + 82, v = 4*j - 8. Calculate the lowest common multiple of 6 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 804450194?\nAnswer: -804450194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 747, 1043, 1391, 1809?\nAnswer: 2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - (0 - 0)) + (-22 + -110 - -131).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7069367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/(-645) - (-1)\/5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*l**3*s**2 - l**3*s - 4*l**2 + 8*l*s + 5*s**2 wrt s?\nAnswer: 34*l**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -39, -14 in ascending order.\nAnswer: -39, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8710 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o = -5. Sort 0, 2, o in ascending order.\nAnswer: o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24315719 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryrzrzryzyzyzrzzzzr. What is prob of picking 2 y and 2 z?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6562, 26229, 59008, 104899?\n\"Answer: 6556*s**2 - s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - (-3 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.579713 months in centuries?\nAnswer: 0.0013164275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/499 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -257, -254, -253, -254, -257, -262, -269?\n\"Answer: -i**2 + 6*i - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.3, -2\/7, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t + 3*t - t**2 - 504 + 500)*((-3*t + 0*t + 6*t)*(-t - t + 3*t) - 4*t**2 - t**2 + 4*t**2).\nAnswer: -2*t**4 + 34*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {t: 1, g: 1, i: 6, o: 1, a: 3, x: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:34 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-18) + ((-65207)\/(-1986) - (-3 + -11))?\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550658357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 612*b**2 - 8375*b + 4190*b + 4191*b as x*b + k + w*b**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 410199601 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 2. Let x(l) = -l**2 + 20*l + 5. Let j be x(20). Suppose 12 = b - 5*d, 0 = -b + 4*d + 5 + j. Suppose -b*q - 3 = 1. What is y(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d*i**3*j - 17*d*i**3 - 14*d*i**2*j - 2*d*i**2 - 2*d*i*j + d - i**3*j wrt i.\nAnswer: 66*d*j - 102*d - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(15 - 15 + 5*y)*(-2*y + 3*y + y)*(6 - 3 - 1) + 2*y**2 - 5*y**2 + y**2 to the form z*y**2 + k*y + r and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11054*j*u**2 - 9*j*u - 477*j + u**2 wrt u?\nAnswer: -22108*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1365 and 1387338.\nAnswer: 631238790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*u - 161 + 48, 0 = 5*u + 4*a - 159. Let j be (-3 + u\/14)\/(1\/(-72)). Calculate the highest common divisor of 132 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 51143504.\nAnswer: -1\/12785876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*g + 17*u + 65, -15*g - 9*g - 47 = -20*g + 5*u for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1538340?\nAnswer: 1538342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/165)\/((-5)\/(30\/(-28)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13)\/(156\/40))\/((-4)\/(-6)). What is the closest to -1 in 1\/3, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*f - 12003 = 4377 for f.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**3 - 2*m**2 + 4*m**3 - 3*m + 2*m**2 + 2. Let t = 1 + -4. Is z(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 578668722?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*m**3 - 34*m**2 + 10 - 8 - 6 - 11*m**3 - 13*m**3 to the form f*m**3 + k + p*m + b*m**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*g**5\/11 - 6190*g**4\/11 - 188248*g**3\/11 + 219448*g**2\/11 + 753792*g\/11 - 778752\/11 = 0. Calculate g.\nAnswer: -312\/5, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-20)\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 1.3. Let q = k + 6.8. Is q bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/71170 and 59\/220?\nAnswer: 142340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/5*(-18)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103\/135 + -1\/27. Let f = -30.3 - -30. What is the second smallest value in f, 0.2, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 4)*(-o + 0*o - o)*(878*o - 3*o**3 - 878*o).\nAnswer: -54*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -72768371 - -394824?\nAnswer: -72373547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916945 (base 11) to base 2.\nAnswer: 101100111101011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 101*r**2. Let a(q) be the third derivative of -q**5\/10 + 298*q**2. Determine a(o(b)).\nAnswer: -61206*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - 32.97. Let h = t - -29.7. Let u = -3.29924 - h. What is u rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b. Let p(o) be the third derivative of o**4\/12 - 49*o**3\/3 + o**2 - 1673*o. What is u(p(l))?\nAnswer: -14*l + 686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59065, -120857, -182649, -244441, -306233?\n\"Answer: -61792*l + 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 1. Suppose 3*f + 4*m = 0, 3*f + 2*f = -2*m + l. Suppose -f*z + 168 = -360. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let l = -9650 - -9659. Solve -5*i - l = -5*u + 1, t*i = -2*u + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 18*x**3 - 2*x**2 - 2*x + 5. Is h(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h - 1. Let m(y) = -5*y**2 + 13*y - 32. Let n(o) = 6*a(o) + m(o). Let r be n(-21). What is the closest to 0.1 in -2, r, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v + 20 = 110. Which is the closest to 1\/4? (a) -2\/23 (b) -74 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2726 divided by -162?\nAnswer: -1363\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6271138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 12\/(-72) - 902\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10494523.\nAnswer: 13, 31, 26041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 + 120 + 129 - 380 + 131.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 31*y + 97. Let d be n(-3). Let f(z) = -d*z + 0*z + 327174 - 327174. Let h(c) = -3*c. Determine h(f(l)).\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 5*s**2 + 7*s + 5. Let r(n) = -n**3 + 2*n**2 - 3*n - 2. Let m(i) = 2*d(i) + 5*r(i). Is m(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 29666555?\nAnswer: 29666555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11248*s**2 - 5389*s**2 - 5858*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*w - 3*w**2 + 3 - 73*w**3 - 469*w - 1.\nAnswer: -73*w**3 - 3*w**2 - 649*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 2*n**3 - 92*n - 15*n**5 + 90*n + n**5 wrt n.\nAnswer: -280*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 24*q + 34. Let x be h(-10). What is the units digit of (27\/x - -6)*(-2604)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 24.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -5*f. Let q(x) = -3*x**2 - 2*x + 9. Let y be q(f). What is the third derivative of 19*u**5 + y*u**2 + 24*u**4 - 24*u**4 + 22*u**2 wrt u?\nAnswer: 1140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 92144776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 32 + 124*t + 110 - 25 - 25.\nAnswer: 124*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/19 and 2603810 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, -5, 0.\nAnswer: -5, -2, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(605) - (-3 + -1 + sqrt(605) + sqrt(605))).\nAnswer: -11*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/519 + -55\/346. Sort -0.17, -2\/7, t, 0.6 in descending order.\nAnswer: 0.6, t, -0.17, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 1 q when three letters picked without replacement from amtpqmtf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 9*o**2 + 17*o - 6. Determine l(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/69)\/i*i\/(i\/(i**(-2\/13)*i*i))*i*(i\/(i\/(i*i\/(i\/i**(1\/44)))))\/i*i*i*i**22)**(-20\/9) assuming i is positive.\nAnswer: i**(-5308025\/88803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1 - 0) + (1 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g**2 + 224 + 4*g - 65\/2*g**4 - 2\/3*g**3. What is the third derivative of q(n) wrt n?\nAnswer: -780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -78776.\nAnswer: -3\/39388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*b**4 + 14890*b**2 - 24120302?\nAnswer: -84*b**3 + 29780*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/5 + 14*s**4\/5 - 14*s**3\/5 - 6*s**2 = 0. Calculate s.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 4*j)*(-2*j + j + 0*j) - 30*j**2 + 18*j**2 - 12*j**2.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a + 2. Let f(g) = 3*g + 5 - g - 11*g. Let h(d) = -2*f(d) + 5*v(d). Let n(u) = -u. Give h(n(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 5. Let d be p(6). Let x(r) = r**3 + r**2 + r. Let c be x(3). Calculate the highest common factor of c and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 16 = -9*f + 5*f, -3*z + 8 = 2*f. Let l(k) = k**2 + 2. Determine l(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.5*0.4\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -315 + 30*u + 161 - 11*u + 154. Let x(q) = 175*q**2. What is x(m(f))?\nAnswer: 63175*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-116 - (1 + -2)). Let l = 200 - a. Let d(w) = -w**3 + 19*w**2 + 12. Let v be d(19). What is the highest common divisor of v and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8301808 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - 2*u)*(-2 + 4 - 3 + (7 - 9 + 0)*(7 + 8 + 3) - 9 + 6 + 8).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -6*m + 20*m - 38*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/96 not equal to -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 13 - 2) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/117*16\/(256\/168).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (12 - (14 + (-4 + -12 - -1))) + -82\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.9 * 0.7179.\nAnswer: 35.10531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2445 and 231210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 6, r: 4}. What is prob of sequence xx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, -43, -272, -593, -1006, -1511, -2108?\nAnswer: -2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(720) + 1 - (sqrt(320) + -1 + sqrt(320)*-1))**2.\nAnswer: 96*sqrt(5) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3263 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 739 divide 11359181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 11 = d - 4*r, 4*d + r - 7 = 0. Let b be (4 - 27\/6)*(-1 - -1). Solve -f + 1 + d = b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 132\/(-9) + 2\/(-6). Let z be (x\/25)\/(2\/(-5)). Is 1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 1408?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8573, -17893, -27979, -38837, -50473, -62893?\n\"Answer: -l**3 - 377*l**2 - 8182*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3279*d**4 - 3*d**2 - 1095*d**4 - 51*d**6 + 77 - 1100*d**4 + 3*d - 1090*d**4 wrt d?\nAnswer: -6120*d**3 - 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/9 - (-3)\/(-9). Suppose -4*a = i*j - 136, -2*j + 6 = -2*a - 52. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 187561?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**4 - 66559*v**2 + 66560*v**2 + 0*v - 2*v as h*v**2 + a + l*v**3 + i*v + t*v**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*b)*(44*b - 47*b + 3*b**2 + 3 - b**2) as d*b**3 + s*b + i*b**2 + m and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-10) + 1 + 3\/(-5). Suppose -17 - 7 = -i*w. Find the first derivative of -w - 5 + 2 + 6*m**4 wrt m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*f**4*z**2 - 7276*f**2*z**3 + 2196*f*z**3 - 125*f wrt f?\nAnswer: 216*f**2*z**2 - 14552*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36085 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1236)\/(-1545))\/((-6)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/8118 and -59\/32472?\nAnswer: 32472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-171)\/(-1080) - (0\/(-3) + 2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 - (13 + (13 - 52) + 1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 74*o + 6. Let v be f(3). Let j be v\/231 - ((-6)\/21)\/1. Which is smaller: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/6)\/((-8)\/(-16)))\/(13\/((-130)\/190))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256066.\nAnswer: 2, 128033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/((-28)\/63)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(567) + -1 - sqrt(567))**2 - 2*(sqrt(567) + (0 + sqrt(567) + sqrt(567) + sqrt(567) + sqrt(567))*-1 + sqrt(567)))*-2.\nAnswer: -72*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/19)*i\/i**(-7)*i**1\/i**9 assuming i is positive.\nAnswer: i**(1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16956 + -33460. Let v = u + 16511.0072. Let g = 7 - v. What is g rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 5:55 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36925, 36845, 36813, 36853, 36989, 37245, 37645, 38213?\nAnswer: 38973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 + l + 27. Suppose -2*v + n + 1 = -2, 2*n = -v - 6. What is g(v)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816, 829, 856, 897, 952, 1021?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-138)\/(-161) - (-10)\/(-10). Let j = 2 + 2. What is the smallest value in 3, -0.14, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-2)\/sqrt(4) + sqrt(54)*-3)\/(((-2*sqrt(108))\/sqrt(6))\/sqrt(9)).\nAnswer: 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 + j**2. Calculate k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - 0) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 9*a**2 - 4 + 12*a**2)*(0 + 0 + 3*a) + (a**2 + 3*a**2 - 2*a**2)*(-3 + 3 - 1)*(0 + a + 0).\nAnswer: 55*a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 379361*a**4 - 575*a**2 - 3*a + 55 wrt a?\nAnswer: 9104664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*n + 24 - 120 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30934, -30916, -30910, -30922, -30958?\n\"Answer: -g**3 + 25*g - 30958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11539.\nAnswer: 11, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9851, 19673, 29437, 39113, 48671?\n\"Answer: -5*h**3 + h**2 + 9854*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -5, 10.92, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 31850198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 54. Let x be (l\/(-10) + -5)\/(2\/10). Let m(v) = v**2 - 2. Let b(o) = 4*o**2 - o - 6. What is x*b(g) - 7*m(g)?\nAnswer: g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 89 = -29. Let l = 33 - a. Solve -q - 4 + l = -4*w, 5*q + 3 = -2*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qliimmmmllqmlimliqm. Give prob of picking 2 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from oodddzzooododod?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 9:01 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16*1890\/5600*5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1617) + sqrt(1617))\/(sqrt(6)\/(sqrt(2)*4)).\nAnswer: 112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(3) - sqrt(5))*-3 + (sqrt(605) - (sqrt(605)*1 + sqrt(605)) - sqrt(605)))**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*r + 153, -6*x + 627 = -2*x + 5*r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 + -1299615.67\nAnswer: -1299615.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*y - 8. Suppose -6*a = y*n - a - 15942, 5*n - 19936 = -2*a. Let j = n - -422. What is j rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(735) - (sqrt(735) + (sqrt(735) - (sqrt(735) + -1*sqrt(735)) - sqrt(735)) + sqrt(735) + sqrt(735))))\/(-2*1*sqrt(3) - -6*sqrt(48)))**2.\nAnswer: 245\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 64*r**5\/15 + r**4\/6 - 29*r**3\/6 + 167*r**2 + r. What is the second derivative of d(g) wrt g?\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 14, 11 in increasing order.\nAnswer: 0, 5, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55543985?\nAnswer: 5, 7, 1586971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/(s**6*s))\/(s**29\/(s*s**17)))**(2\/33) assuming s is positive.\nAnswer: s**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:35 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6265528431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/3 + c**3\/3 + c. Let w(f) be the second derivative of 5*f**4\/12 - f**3\/2 + 754*f. Determine 4*u(g) + 3*w(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1378)\/(-106) - (-2 - -42).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c - 4*c**2 + 2 + 14*c + 3*c**2)*(-1 + 1 + 2*c)*(9 + 1 - 1).\nAnswer: -18*c**3 + 36*c**2 + 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) - (-35)\/(-36). Let m = -4.98 - 0.02. Let r = m + 9. What is the closest to -1 in r, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 178\/28035*-30*(-39)\/4.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v**2 - 92*v**3 + 89*v**3 - 416 + 431 - v**4 + 0*v**4 to b + l*v**4 + j*v + r*v**3 + n*v**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:28 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -661 - -660.7. Which is the nearest to 0? (a) x (b) -5 (c) -18\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, w: 7}. What is prob of picking 2 e?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 20*m**2 - 19*m - 39. Suppose -4*r + 151 + 17 = 0. Let f be r\/2*3*2\/6. Let h be g(f). Calculate the highest common divisor of 15 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from zooooozzzoooozooooo.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -20*u**3 + 3*u**2 + 17*u + 17. Let f(l) = -7*l**3 + l**2 + 6*l + 6. What is -17*f(a) + 6*v(a)?\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(1\/55)*n**40 assuming n is positive.\nAnswer: n**(2256\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 - -10. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 14.9. Let m = -14.9 - s. Let f = m + 17.00000044. What is f rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + (sqrt(847) + 2 + sqrt(847))*6)**2.\nAnswer: 4752*sqrt(7) + 122292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 17 - 18 + 55 + 3 + 1566*b.\nAnswer: 1566*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 51. What is l(-22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599405.\nAnswer: 5, 119881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**2 - 66*r - 1. Let t(a) = -5*a**2 + 66*a + 1. Give 4*t(m) + 3*y(m).\nAnswer: -2*m**2 + 66*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3*-28 - -2. Let g = -6 + u. Find the common denominator of g and (-4)\/6 + 110\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*j**2*z**3 - j*z**3 + 58*j - 1 wrt j?\nAnswer: -230*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -42, -1\/6 in decreasing order.\nAnswer: 2, -1\/6, -9, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04001 + -0.45999. Let q = 0.08 + -0.88. Let m = q + 2.8. What is the biggest value in 0.1, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, w: 1, d: 2, a: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0 + 2*q + 1\/6*q**3 + 9*q**2. Does 6 divide b(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 - o**2 - 4*o**2 + (5 - 2 - 1)*(-o**2 + 3*o**2 + 0*o**2) - 4*o**2 + 3*o**2 + 3*o**2 + 2*o**2 - 1 + 1)*(29*o - 7*o + 52*o)*(-7 - 3 + 1).\nAnswer: -5994*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 30 = j. Suppose 2*c - 3*c + 33 = 2*w, 2*c = j. Suppose 39 = x + 4*x + f, -f - 25 = -3*x. Calculate the remainder when w is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 + s**3 + 1 - 22*s**2 + 20*s**2 + s - 4 as x*s**4 + d*s**3 + g + w*s + r*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -k + 4, -5*k + 4*j + 32 = 0. What is the smallest value in 0.1, k, -22\/13?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*o - 3, -7*g + 3*g + 4*o - 4 = 0. Let t(v) = -v + 13. Is t(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -118*p**2. Let f(s) = -2*s**2 + 162263 - 162263. Determine f(y(d)).\nAnswer: -27848*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -420 - -15043?\nAnswer: 14223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*k**3 - k**2 + 4 + 10 + 0 - 3.\nAnswer: 180*k**3 - k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 4. Let j(z) = 28*z**2 - 4*z - 1. Is j(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -2*q**7\/105 + 5*q**3\/3 - 17*q**2\/2 + 19. Let n(f) be the second derivative of j(f). Differentiate n(b) wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i - 33*i**2 + 24*i.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 - 296*y**3 + 11242*y**2 - 21316*y = 0 for y.\nAnswer: 0, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**9\/3024 - f**7\/504 + f**4\/2 + 3*f. Let d(v) be the third derivative of w(v). Determine b, given that d(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -3*sqrt(300))*-2 - sqrt(300))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.966 + -41.6. Let i = -0.3659228 + v. What is i rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -14. Suppose 4*l = k + 19. Solve 6 = -l*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230385 times -209.4\nAnswer: 48242619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -9*s**6\/5 + 22*s**2 + 37*s - 57. Let h(c) be the first derivative of u(c). Find the first derivative of h(v) wrt v.\nAnswer: -216*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(2\/3)*h*h*(h\/h**2)\/h*(h**(-1))**(-12)*h**(1\/3)*h*h*h*h*h\/(h**(4\/9)*h)*h*h*(((h*h**(-1\/2))\/h*h)\/h)\/h*h\/h**(-5) assuming h is positive.\nAnswer: h**(433\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(774\/18))\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37093633237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165874*l**4*y - l**4 + l*y + 1003846*y wrt l?\nAnswer: 663496*l**3*y - 4*l**3 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n**2 + 3 + 3*n + 2*n**2 - n. Suppose -11 = 4*r + 1. Give w(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, -5, -2, 52 in decreasing order.\nAnswer: 52, 8, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489492 is divided by 1890.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -645 - -650. Solve 0*q + q + 4*n = -12, -x*n = 4*q + 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/40)\/(1724\/(-191795))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) + (-4)\/14. Let r(b) = b**3 + b - 4. Let g be r(j). Is 108 + (-4 - g - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1019\/588 - 111\/196. Let t = -737\/7 - -105. What is the third biggest value in 0.1, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**18*f*f*f**(-19))**(-7\/11))**(-35) assuming f is positive.\nAnswer: f**(490\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {e: 1, d: 2, m: 4, w: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 1157?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by ((-6)\/(-27)*24)\/(2\/39).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 4}. Give prob of picking 1 b and 2 l.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203409740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-135) - (-31)\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-8 - -1))*1. Suppose a*s + 20 = 12*s. Suppose 0 = 5*j - 2*z - 118, -s*z + 19 = 3*j - 31. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m = -13*m + 385317. What is the greatest common factor of 67 and m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**3 - 2*n**2 - 6*n + 5. Let m(x) = 5*x**3 - 2*x**2 - 5*x + 4. Let g(y) = -y**3 + 2*y**2 - 3*y + 1. Let w be g(2). Give w*m(p) + 4*v(p).\nAnswer: -p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, i: 5, y: 10}. Give prob of picking 3 y.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/295747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:21 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 14) to base 5.\nAnswer: -3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12351 and 4140.\nAnswer: 741060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600520037 plus -4.3?\nAnswer: -1600520041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) -0.3 (c) 6409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009350891419 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.57, -48\/265.\nAnswer: -48\/265, 0.2, 0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 9:32 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 752, 1499, 2248, 2999?\nAnswer: 3752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:22 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 55 = -47 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -39 + (-2 - 0). Let t = -11 - l. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 952 + -940. Let f(j) = -11*j**3 - 5*j**2 + 5*j. Let o(s) = 19 - 26*s**3 - s**3 + 12*s - 12*s**2 - 19. Calculate z*f(t) - 5*o(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1452 and -83\/1248.\nAnswer: 151008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 2, p: 4, s: 1, y: 1}. What is prob of picking 4 p?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 78\/(-286) + (-58)\/(-132). Let k(a) be the third derivative of 0 - 1\/6*a**3 + 0*a - 7*a**2 + w*a**4. Differentiate k(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126301 (base 7) in base 3?\nAnswer: -1012200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 13*h**2 - 11*h + 16. Let u be f(-12). Let z be (-2)\/u*(19 - 1). Let d be 1\/2 + z\/12. Sort -2\/11, d, -3.\nAnswer: -3, d, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 73*z + 29. Let j be q(3). What is the highest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504255404 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 18*k**2 - 5*k - 82. Let f(d) = -17*d**2 + 4*d + 81. Let y(o) = 5*f(o) + 4*j(o). Differentiate y(b) with respect to b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 4*q - 5*u, -4*q - 2*u - 205 = 131. Let k = -99 - q. Are -15 and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m. Let o(q) = 2*q**3 + 12*q**2 - 12*q. Give -5*o(y) + 60*w(y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 3*p**2 - 16. Let w be g(-2). Solve w*z - 7 + 9 = 2*v, -5*v + z + 23 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.099 and -0.2.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 - 2*v - 1. Let o be i(3). Suppose -3*d + 2*h = -7*d + 6, 3*h = 4*d - o. Let b be 4\/4 + 0\/d. Which is smaller: -0.5 or b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231498 - -0.2?\nAnswer: -231497.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -700851.66 rounded to the nearest one hundred?\nAnswer: -700900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -26*u - 50. Let l be (1\/1 - u) + (11 - 17). Solve 6 = -2*g + l*a, -g - 3 = 2*a - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -200, -220, -240, -260, -280?\n\"Answer: -20*d - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:52 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 13 = 4*k, -2*k - 5*u + 23 = -4*k. Let h be k\/8*0\/2. Let i = -162 + 166. Solve 5*l = 3*b - 2*b - 30, i*l + 5*b - 5 = h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -7417.7728?\nAnswer: 37088.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001664934789 rounded to 7 decimal places?\nAnswer: -0.0016649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 715*v - v**3 - 715*v - v**2 + 16. Let h be 3 + (-1 - 6\/3). Calculate the remainder when 47 is divided by l(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*a + 31, 2*a + 3 = -5*x - 59. Suppose 3*h - 4*f = -h - 32, 0 = 4*h + 2*f + 20. Let p = h - x. Calculate the least common multiple of 8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73646 and 184.\nAnswer: 294584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 26. Let d be s(14). Let v be d\/6 + 8\/(-24). Solve -4 = -v*t + 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*j + 3, -y = 309 - 308 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1530 and 1360?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 - f**4 + 0*f**4 + (-2*f**3 + 6*f**3 - 8*f**3)*(1 - 5 + 2)*(23*f + 104*f + 241*f).\nAnswer: 2943*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 + 2 + -4 - 2. Let d = q - 0. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.691 take away 29519854?\nAnswer: -29519855.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 6262*t**2 - 50192*t - 100448.\nAnswer: 2*(t - 3139)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7483?\nAnswer: 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155 + 389. Let v = -81 + g. Let a = -63 + v. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158253764 is divided by 2408.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 0 + 0)*(-4*d + 4*d - 2*d + 4*d - 3*d - 3*d + (5*d - 3*d + 0*d)*(-1027 + 1312 - 682)) as x*d**2 + h*d + j and give x.\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1690*z. Let t be b(5). Suppose -9*d + 8*d + 9321 = 2*g, 0 = -5*g + 7*d + 23236. Let c = t - g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 25193 = 4*j, j = -3*j - 2*o + 25198. List the prime factors of j.\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*15\/(-75))\/((-1)\/((-20)\/(-6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00190579165 to six decimal places.\nAnswer: -0.001906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*c, -2*c + v + 4 = 2. Find the first derivative of -2 - 4 - r + c wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9432*a - 1537. List the prime factors of d(1).\nAnswer: 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e0 - 29?\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5096971353 - 5824\nAnswer: 5096965529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 27*j + 261. Let l be i(-9). Solve -l*g + 10*g - 40 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/4)*(-117)\/(-390)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 + (-4)\/14. Suppose h + 2*h + 27 = k. Let g be 4\/6 + 4\/h. What is the biggest value in -1, -1\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 - 3.49. What is h rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**3\/3 - z**2 + 3. Suppose -r = -3*r + 12. Suppose -3*t + r = -0. Give j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t**4 + 0*t**2 + 3 - 1\/20*t**5 + 0*t**3 + 0*t. Let j(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 960 and 18296.\nAnswer: 2195520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (0 - -2)*(2 - (0 + 1)) and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w*w**(1\/2)))\/w))\/w)**(-24\/7)\/(w**4\/(w*w\/(w\/(((((w\/(w*w**(1\/4)))\/w)\/w)\/w)\/w)))) assuming w is positive.\nAnswer: w**(-443\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - 838*v**2 - 987*v - 63129. What is j(-418)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-63)\/(-35))\/9*(-1 + 0). Let o be (-10)\/(-4) + (-1)\/(-2). Let d be o - (-25)\/27*-3. Which is the nearest to z? (a) -2 (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) + 1*sqrt(304)))**2*-2 + -1.\nAnswer: -8551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (564\/8)\/(2\/8). Suppose -141 = -4*u + u. Suppose -u - l = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79 and 25?\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10209049 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - v - 1. Let w be h(0). Let k be (1\/w + 1)\/(-1). Suppose 5*m - m - 8 = k. Calculate the remainder when m is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 2. Let z be n(-7). Suppose 0 = 2*u + 2*y - z, 4*y = 3*u - 25 + 8. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 48*z**2 + 12*z - 2. Let a(k) = -549*k + 8. Let s(q) = -343*q + 5. Let g(l) = -5*a(l) + 8*s(l). What is f(g(m))?\nAnswer: 48*m**2 + 12*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - 1. Let n be (-1)\/6 + w\/12. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*i - 4, -1774*l - 2 = -1772*l - 4*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*w + 4*t, 2*t + 46 = 3*w - 0*t. Let i be ((-418)\/(-6))\/(1\/(-3)). Let m = -83 - i. What is the greatest common divisor of m and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -23. Sort -3, i, -21 in decreasing order.\nAnswer: i, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 q, and 1 w when four letters picked without replacement from {l: 4, g: 6, q: 2, s: 4, w: 2, y: 2}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**4\/4 - 5*y**2. Let c(o) = 6*o. Calculate c(n(a)).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.7 (b) -7.7 (c) 3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v + 21356*v**3 + 6 - 4*v**4 + 3*v**4 - 21353*v**3 + v**2 in the form n*v**2 + f*v + m + d*v**3 + h*v**4 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.038 in -1\/3, -1, -289, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -202060, -2, -5, -1 in increasing order.\nAnswer: -202060, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*w**2 + 2*a**2*w - 2*a*o*w + 2*o*w**2 - 39*o - 2*w**2 wrt w.\nAnswer: 6*a**2 + 4*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 4\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 438*g. Let m(v) = 2*v + 534633. Calculate r(m(o)).\nAnswer: 876*o + 234169254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2, 4, -767?\nAnswer: -767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Let h = 15 - j. Solve 0*z - h = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 6, -4*c = -7*c - 3*w + 5409. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8388899.\nAnswer: 19, 37, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -39.9199 at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 0\/((-25)\/5). Suppose -f + 180 = g*f. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32537.65 to the nearest ten.\nAnswer: -32540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/12 + (-97)\/3. Let b = -15 - r. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(130) - 1*sqrt(130)))\/((-1*sqrt(30))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3499287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1584)\/11)\/(-6)*27205\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/7))**(2\/71))**15*(o**1)**(-2\/13)*o\/o**(-2\/11)*o*o\/(o*o**(-2)) assuming o is positive.\nAnswer: o**(324882\/71071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -335 - 37949?\nAnswer: -38183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/3 - 80*h**3\/3 + 334*h**2 - 1020*h - 3600 = 0. What is h?\nAnswer: -2, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 711, 1642, 2565, 3474, 4363, 5226?\nAnswer: 6057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*m - 3*v, 5*m + v = 4*v + 21. Solve 15 + 12 = -4*q - 5*f, -q - m*f = 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 789485 divided by -6\nAnswer: -789485\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 0, -2*f = -8*k + 3*k - 185. Suppose 48 = -5*c + 248. Let a = c + k. Which is bigger: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from agaaaagaaa?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535 (base 9) to base 2.\nAnswer: -110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(539))**2 - (4 + (sqrt(88)\/sqrt(8))**2 + sqrt(11)) - (-3*1*sqrt(99))**2*5.\nAnswer: -sqrt(11) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 13*j + 40. Let q be u(-15). Solve -6*h = -4*h + q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -40\/3*z**3 - 5\/3*z**2 - 25\/3*z**4 + 0 + 10\/3*z = 0. What is z?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 4 + sqrt(13) + 3 - -6*sqrt(91)\/(sqrt(21)\/sqrt(3) + sqrt(7)).\nAnswer: 7 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -351 - 285 + 688 - 23*y + 32*y. What is o(-11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149431 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-84) - (-58)\/(-14). Let h(u) = -u**2 - 3*u + 7. Let c be h(d). Find v such that 5\/4*v**c + 11*v - 2 + 25\/4*v**4 - 33\/2*v**2 = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*h + 148*h - 25500 = 0. Let l be 1\/3 - 4400\/(-3). Suppose l + h = 3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:07 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(2\/23))\/w)\/w)\/(w\/w**2*w)*w\/((w*((w\/(w**(1\/7)\/w)*w)\/w)\/w)\/w)*(w*w**(-7\/4)*w)\/w)\/((w**0)**8)**32 assuming w is positive.\nAnswer: w**(-1091\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21971 - -88507\/4. Let i = -2863\/20 + p. What is the common denominator of -89\/45 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43443394.\nAnswer: 2, 1097, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 6*v**2 - 5*v - 23. Determine l(8).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*d = 433*d - 350. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 37*q + 4475. Give v(-51).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3044486304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*p = 22 + 30, 0 = 3*p. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 265*t + 469. Let u be m(7). Solve u = -4*g + 2344 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38714 by 4.\nAnswer: 19357\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 488560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -96139 (base 11) to base 4\nAnswer: -202022032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 464 = 361. Calculate the greatest common factor of l and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 70. Let k(u) = -4*u - 140. Let w(o) = -3*k(o) + 5*l(o). What is the smallest common multiple of 122 and w(16)?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 + 14*z + 9. Let w(c) = -c**2 - c + 1. Let o(v) = -h(v) - 3*w(v). Let d be o(-10). Is ((-2)\/d - 2) + 30 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 352543 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52269900 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: Collect the terms in 1307*y - 2613*y + 1305*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*m**2*t + 14*m**2 + 3384*m*t wrt m?\nAnswer: -100*t + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3669 and -85\/2416.\nAnswer: 8864304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + -0.052. Let r = -0.1063 - x. Round r to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 2*b**2 - 8*b + 4. Let k be d(3). Let i = -57 - k. Let h(o) = 3*o - 8. Let z(l) = -3 + 0 + l + 0*l. Give i*z(t) - 3*h(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:48 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g - 3*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -277653 at least -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 1, i: 2, c: 1, l: 2}. Give prob of picking 1 l, 1 z, and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/2 - 95*l\/4 + 91\/2 = 0. What is l?\nAnswer: 2, 91\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -14) + 4 - 3 - -11 - (-3 + 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -3*a + 249. Let l(i) = -4*i**2 - 6*i - 6. Let m be l(-4). Let g = a + m. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/618 and -29\/721?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 29, 5, -370, 0, -155.\nAnswer: -370, -155, -4, -1, 0, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 13. Suppose j*l - 2*a + 15 = 3, 2*l + 4*a - 6 = 0. Is 8 a factor of 7 - 1*l\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/2 - (791 - 813)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**4\/2 - i**3 - 3*i**2\/2 + 4*i + 198. Let g(c) = 2*c**3 + 4*c**2 + 2*c - 5. What is 4*f(a) + 3*g(a)?\nAnswer: -2*a**3 - 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8)\/j**(-6\/7))\/(j\/(j**(-3\/2)\/j)*j*j*j\/j**(-5)))**2 assuming j is positive.\nAnswer: j**(-261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a76a0 (base 11) to base 16.\nAnswer: -c37ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*s - 322*s - 28 = 0. Let g(f) = 4*f + 52. Let y be g(-13). Factor 33\/2*j**2 - 9\/2*j + 3\/2*j**s + y - 19\/2*j**3.\nAnswer: j*(j - 3)**2*(3*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 23. What are the prime factors of n(18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 3*q**3 - 8*q**3 - 725*q**2 - 15*q.\nAnswer: -5*q**3 - 725*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*n + 20, -n = 16*d - 18*d + 10. Sort 1.55, 4, n in descending order.\nAnswer: 4, 1.55, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 2\/9 (b) -2\/7 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rside. Give prob of picking 1 e and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 155. Calculate q(-15).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -130510 and -130510 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-128))\/(1\/(-4)). Which is smaller: j or -0.071?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 - (-2)\/5. Let k = 14.65 - 16.65. Which is the second biggest value? (a) k (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 7:21 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 2 - 5*a**3 - 5*a**3 + 9*a**3. Let r be g(2). Let i be (-22 + 16)*r\/(-4). Let b(o) = o**3 + 3*o**2 + 3. What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5 - 6) + 6 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:51 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827*d = -808*d - 665. Solve 44*b = d*b - 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -2\/11, 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 2*j. Let u(x) be the first derivative of 5*x**4\/12 + 4*x**3\/3 + 3*x - 3. Let v(d) be the first derivative of u(d). What is 9*g(z) - 2*v(z)?\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = g + g, -5*h - 5 = -5*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -37415 and -37155 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3006088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.115 - -0.885. Let o = -7.6 - -7.3. What is the closest to k in -0.23, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4030208 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006449 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 2036880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-2))\/(871\/134*2\/26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(2\/((-16)\/12)). Let h = -11 - q. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 6*q + 1. Let b be v(-6). Suppose 21*i + 98 = 35*i. Calculate the smallest common multiple of (-8)\/(-6)*(b + 5) and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:12 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2\/3)*l))\/l*l*l**8*l*(l*l**(1\/3)\/l)**15 assuming l is positive.\nAnswer: l**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 439682 and 8057.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4 + 5387*z**3\/2 + 1351*z**2\/2 - 5387*z\/2 - 1347\/2 = 0.\nAnswer: -1, -1\/4, 1, 1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(190)*-2*4)\/(sqrt(90)*-2 - (sqrt(80)\/sqrt(72) - sqrt(10))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*r - 44, -j + 8*r = 3*r - 12. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -28 - -6)\/1 + (0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (712\/12)\/((-2)\/(-3)). Suppose -a + 4 = -x. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13758914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458107 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:52 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 47565611 (base 8) to base 9\nAnswer: 21533605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g - 41*g + 908 = -2*m, 2*m + 900 = -3*g. Let r be (m\/(-18))\/(2\/66). What is the greatest common divisor of r and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 - 10584*x - 954863 = 0?\nAnswer: -10493, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1023 + 20272*m**2 - 2*m - 20273*m**2 + 2*m to the form i*m**2 + b + j*m and give b.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.3 + -15. Which is the third smallest value? (a) 0.2 (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((260\/(-15))\/(-4))\/((-1)\/(-3)). Let l = w + -7. Solve l*j - 3*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 412*o + 2942. What is j(-7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:43 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1205778, -1205772, -1205754, -1205718, -1205658, -1205568, -1205442, -1205274?\nAnswer: -1205058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, 1 z, and 1 j when four letters picked without replacement from {t: 4, j: 3, m: 3, z: 3, c: 4}?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, j: 1, a: 5, l: 1, q: 4, y: 1}. What is prob of sequence ali?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 8544?\nAnswer: 59808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j + 0 - 2\/3*j**3 + 1\/15*j**5 - 16*j**2 - 1\/8*j**4 + 1\/120*j**6. What are the prime factors of i(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23553, 47099, 70645, 94191, 117737, 141283?\nAnswer: 164829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -121. Let k(p) = -21*p**2 - 32*p**2 + f*p**2. Let g(d) = -d. Calculate g(k(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and 13.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -1. Let w(i) = -i**3 - 5*i**2 - 2*i. Let r be w(x). Is 652\/r + 4\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5\/2 + 69*i**4\/2 + 3*i**3 - 69*i**2 - 3*i\/2 + 69\/2 = 0.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 408659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n*q*x**2 - 43*n - 61*q*x**3 + q*x + q wrt x?\nAnswer: 6*n*q*x - 183*q*x**2 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:43 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from tteteeettt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*a + 3*t + 29 = 2*a, -5*t = 3*a + 100 - 47 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012291548 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-18 - -5) - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1580.99999484 - -1581. Round f to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 787869490 to the nearest integer?\nAnswer: 28069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -6 - -9) + -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2036, -1940, -1778, -1550, -1256?\n\"Answer: 33*o**2 - 3*o - 2066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*v - 161 + 4*v**2 - 103*v - 136*v.\nAnswer: 4*v**2 - 144*v - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 1, s: 2, x: 4, t: 7}. What is prob of picking 1 k and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2716 is divided by 904.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39519\/52900 + -192\/529. Find the common denominator of (1\/(-5))\/((-308)\/(-70)) and v.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.806531878 rounded to four dps?\nAnswer: 12.8065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(r**2 + 2*r - 2*r) - 2*r**2 + 4*r**2 - 4*r**2)*((-2*r + 4*r - r)*(156*r**2 + 83*r**2 - 85*r**2) + (-1 + 1 - 2)*(9*r**3 + 38*r - 38*r)).\nAnswer: -408*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 1\/42*q**4 + 2\/7*q + 10\/63*q**3 + 20 + 1\/3*q**2. Factor w(c).\nAnswer: 2*(c + 1)**2*(c + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2133303042 (base 5) to base 6\nAnswer: -242200133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**7\/14 - 7*s**6\/10 - 5*s**4\/12 + s**3 + 29*s. What is the third derivative of m(w) wrt w?\nAnswer: 180*w**2 - 504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y)**(2\/3)*(y\/(y\/(y*y\/y**(-1)*y)))\/y**(-10) assuming y is positive.\nAnswer: y**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 86. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12449086 to 3 dps.\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + (-1 - -15) + (-4 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/32*((-8 - 2) + 2). Let x be ((-54)\/b + -4)*1\/1. Let a(y) = -2*y + 5*y - x*y. Let k(r) = -14*r. What is k(a(m))?\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1 - 3 + 3. Let d(v) = v**2 - 1. Let j = 10 - 11. Calculate j*i(b) + d(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 4:46 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-6) + 7\/(-21). What is the units digit of (z\/(-4))\/((-21)\/98)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/22*159\/53.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8135*q + 0 + 0 + 3.\nAnswer: -8135*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776715?\nAnswer: 5, 355343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5021 (base 11) to base 5\nAnswer: 203203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 4 + 200*s**3 + 3 - 5 - 199*s**3 + s**2 to the form h*s**3 + q*s + t*s**2 + o and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1565.09?\nAnswer: 782.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11161*r**2 - 2. Let t(j) = 97*j**2. What is o(t(x))?\nAnswer: -105013849*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - a + 15 = 2*a, -a + 5 = -2*z. What is the tens digit of (-12)\/(-1) - z\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(6 - 12) - 2\/1. Suppose a = h*a. Suppose a = -3*u - u + 8. Solve l - p = 7, 0 = u*p + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 677.87599 - -158.4.\nAnswer: 836.27599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*i = 119*i, -i + 6 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence way when three letters picked without replacement from {y: 6, w: 4, a: 9}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 219031403 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 17096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50.1376 + -26123731.\nAnswer: -26123781.1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1144 - -407. List the prime factors of o.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 3694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102000010111022 (base 3) to base 7.\nAnswer: 100465502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 3, 0, 85 in descending order.\nAnswer: 85, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -1\/60*s**5 + 1\/24*s**4 + 0*s - 3*s**2 + 0 + 1\/2*s**3. Let f = -17 + 21. Give v(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 653 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -9 - 33 - 0) + (0 - 10).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128226 and 91773180?\nAnswer: 642412260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88230681253139 + -88230672478359.5800017. Let w = p - 8774779. Let y = 0.42 - w. What is y rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 23*s + 12. Let q be k(11). Suppose 4*w - 13 = -q. Suppose -51 = -3*y + 2*f - w*f, 2*y = -5*f + 21. Does 18 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/9 - 2*f**2\/3 - 56*f\/9 + 40\/3 = 0?\nAnswer: -5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 226894613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.058 - -0.215. Let k = 124 + -124.073. Let w = k + r. Which is the closest to 1\/6? (a) 0.1 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/9 (b) -1\/6 (c) -4\/13 (d) 3\/293 (e) -13\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 627 and 4818?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - u - 23 = 0, -u = -2*i + 3*u + 12. Let d be 4\/i - 261\/(-6). Let c = -26 + d. Calculate the remainder when c is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, -538, -519?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/1476)\/((-37)\/(-8658)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*m + 96, -2*o = -3*m - 55 + 7. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b - 46. Let i(n) = 2*n + 30. Let k(a) = -5*h(a) - 8*i(a). Let l be (16\/(6 - 4))\/(-1). Determine k(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 35980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 880 = -5*u, -u + 164 = v - 3*v. Let p = -108 + u. Calculate the least common multiple of 30 and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17*5 - (-21)\/(-35)*5. Is 82 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6312678*p + 3960 = -6312768*p for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/3 + 392528*f**2\/3 + 74526170*f\/3 + 1179711900 = 0. Calculate f.\nAnswer: -196074, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(sqrt(75)*-2 + -4 - (sqrt(75) - -3*sqrt(75))*5))**2.\nAnswer: -2905280 - 70400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmg when three letters picked without replacement from {g: 6, m: 12}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*v - 523 = -500, 0 = 3*b - 3*v - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*26.07278.\nAnswer: -2.607278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 + 100 - (26 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1101 + -1095. What is the lowest common multiple of 287 and t?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1db5f + -3?\nAnswer: -1db62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/30699357 and -41\/40932476?\nAnswer: 122797428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 3*v - 37. Let s = 625 + -620. Let i be d(s). Factor 3\/2*n**2 + 0 + 0*n + 5\/4*n**i + 1\/4*n**4.\nAnswer: n**2*(n + 2)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*g = -2, -4*g - 7 = 2*k - 33. What is the second smallest value in 0.02, k, -3\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 5*z + 0*z**2 + 1\/6*z**4 - 4\/3*z**3 + 0. Factor w(v).\nAnswer: 2*v*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4594404512 to the power of 1\/3, to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1972*q**5 - 2552*q**2?\nAnswer: 118320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6803449*k - 15152824.\nAnswer: -6803449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 586*h**6 - 927*h**5 - 2*h**4 - 32110*h**2 + h - 7 wrt h.\nAnswer: 70320*h**3 - 55620*h**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/22 - (1 + 0). Let h = 0.2 + 0.8. What is the second biggest value in h, j, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -646*r. Let d(k) = 423*k**2 + 33. Determine d(i(y)).\nAnswer: 176524668*y**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2)*1 + 0 + sqrt(2) + 0 + (-2*(sqrt(2) - sqrt(8)) - sqrt(200)\/sqrt(4)) - (-1*sqrt(288) + sqrt(16)\/(sqrt(8)*1))*5)**2.\nAnswer: -324*sqrt(2) + 5841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*w = 32, -3*w + 88 = 91 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -485\/7 + 69. Let w be (-78 - 0)*6\/(-16). Let q = -29 + w. What is the biggest value in -1, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12100049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2282721*g**2*y**3 - 177*g*y**3 - 54*g*y + g + 2*y**3 + 9*y**2 - 5*y wrt g.\nAnswer: -4565442*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 12:23 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 504.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 301*p - 316*p - 19950. Let m = p - -10731\/8. What is the common denominator of m and 16\/41?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:20 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*x, 28*a = 31*a - x + 8 + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35878 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533912*u - 3*g + 72 = 533886*u, 0 = -2*u + 2*g - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*z + 2. Suppose 5*u + z + 7 = 0. Let o = -0.46 + 0.06. What is the third biggest value in 2, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 2*j - 19. Let s be m(-6). Let q = -22 + s. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 460*s - 916. Determine l(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8472975 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2587705 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h. Let g be a(2). Solve -z - 4*c + 1 = 0, 2*z + 0*c + 2*c = g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d**(-8)\/d)\/d)\/(d\/d**(-6\/5))*(d**(-1\/4)*d)**(-8)*(d**1)**(-16\/5)\/(d\/(((d\/(d**(-3\/5)*d))\/d)\/d)*d*d*(d*d**(3\/10)\/d)\/d) assuming d is positive.\nAnswer: d**(-221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2380 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let m(r) = 4788*r - 80. Let p(w) = 367*w - 6. Let u(n) = -3*m(n) + 40*p(n). Give u(o(v)).\nAnswer: -632*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggdwggggwgddwdddwd.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -18. Suppose 3*u - o - 13 = 0. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**2))**48)**2)**(1\/13))**2 assuming k is positive.\nAnswer: k**(384\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2737490384?\nAnswer: 2, 193, 886493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, -2\/7, -0.1, -1\/3 in increasing order.\nAnswer: -1\/3, -2\/7, -0.1, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u + 465 = 69*u. Let h = u + -130. Solve i = -4*n + 4*i - h, 4*n = -2*i - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/16065 and -94\/10455.\nAnswer: 658665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:12 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -25*x**3 + 1491*x**2 - 940*x - 246. Calculate l(59).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 7*n**2 - n + 9. Let m be q(7). Suppose 0 = m*x - 5*x - 24. Suppose -4*k + 4 = -6*k. Sort k, x, -3 in decreasing order.\nAnswer: k, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -155448*b**2. Let k(s) = -s. Give k(p(l)).\nAnswer: 155448*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 284290 or 284409?\nAnswer: 284409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*39\/(-26)*56\/12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, 0, 19, 40, 63, 88?\n\"Answer: d**2 + 14*d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 537 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzttototzoztoottzzzz. Give prob of picking 1 z, 1 t, and 2 o.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, 5, -5, -7494, 9 in decreasing order.\nAnswer: 9, 5, 4, 2, -3, -5, -7494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 98*k = 102*k + 38, -5*k - 58 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277\/9 + 9\/(-405)*-10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6922?\nAnswer: 2, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (-11 + 5)) + -27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 260, 907, 2146, 4169, 7168?\n\"Answer: 32*b**3 + 8*b**2 - b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3\/3 + 56938*o**2\/3 - 38646515*o + 20040162132 = 0.\nAnswer: 1047, 54844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -2, 289.755 in increasing order.\nAnswer: -2, 35, 289.755","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Round 25.5747157 to two dps.\nAnswer: 25.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194015 is divided by 406.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1196 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = 13*b - 259. Solve -b*m - 8 = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12504 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.041 - -0.841. Let q = d - 1.3. What is the second smallest value in q, -1\/4, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -813780, -1628056, -2442332, -3256608, -4070884, -4885160?\n\"Answer: -814276*l + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 352930 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q - 2*q)*(0*q - 6*q + 4*q)*(-236*q - 122*q - 91*q).\nAnswer: -1796*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 27*c - 216*c**3 - 107*c.\nAnswer: -216*c**3 - 134*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -773.54577985 less than -0.0078?\nAnswer: 773.53797985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000384873 rounded to 6 decimal places?\nAnswer: 0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8347515 is divided by 1597?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4937063, 9874122, 14811173, 19748216, 24685251, 29622278?\n\"Answer: -4*f**2 + 4937071*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k - 2 - 1 + 15 + 5. Let p be o(-8). Let i = -73 - p. Solve -2*w + i = 4*a, -5*a - 2*w + 8 = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30662 and 42?\nAnswer: 643902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 14*j + 297. Calculate b(-19).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84158323.\nAnswer: 84158323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -88595.482.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000001000 (base 2) in base 11?\nAnswer: -1a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*17\/((-68)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 46824244\nAnswer: -46824239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = 8*o - 3*o. Let r = o - 71. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 8*i**2 + 21*i**2 - 32.\nAnswer: 13*i**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**6\/105 - t**5\/35 + 2*t**3\/21 + t**2\/7 + 4*t - 5. Let u(b) be the first derivative of g(b). Suppose u(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 910*l**2 - 6463*l - 2305. What is h(462)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36006 or 35938?\nAnswer: 36006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*q - q**2 + 5*q**2 - 5*q**2.\nAnswer: -q**2 + 264*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -550?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 7*c - 21. Let t be g(2). Let i be (-1)\/(t\/9) + 4. Let h(z) = 3*z**2 + 5*z - 5. Let r(a) = -a + 1. Determine i*r(f) - h(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12924, 26859, 40806, 54771, 68760, 82779, 96834, 110931?\nAnswer: 125076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6301.879406 minus -985?\nAnswer: -5316.879406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -12.08. Let i = -0.1 - d. Round i to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 33. Suppose -5*p + 2*p - 6 = 0. Let b(f) = 3*f**2 + 2*f + 1. Let y be b(p). Calculate the greatest common factor of y and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27644371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*d - 87*d = 0. Factor 0 - 2\/5*k**3 + 2\/5*k + d*k**2.\nAnswer: -2*k*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327734?\nAnswer: 2, 11, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -3313?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*o - 6 = -l + 173*o - 353*o, -3 = l - 4*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 889533*a**3*r + 5*a**3 - 3233*a**2*r + 2*a**2 + 312*a*r - 3*r wrt a.\nAnswer: 5337198*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 8 - 13 - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from ppyipyyppyyyyyp.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-1\/3)\/u)**(-45))**(-10\/13))**33)**(-4\/9) assuming u is positive.\nAnswer: u**(8800\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2. Let r(p) = -p**2. Let h be (3\/6)\/((-4)\/(-32)). Let i(w) = h*r(w) - u(w). Let m(l) = 21*l**2. What is i(m(d))?\nAnswer: -441*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2570440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*y + 7193 - 4151 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7943664 is divided by 6050.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4595 times -10451?\nAnswer: 48022345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 1. Let x = 0.6 - p. Which is the closest to -1? (a) 0.1 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -52.927. Round n to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(7)*-2 - (sqrt(7) - (sqrt(448) + -2)).\nAnswer: -2 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*a + 197*a + 1 - 1 + 237*a to the form x + r*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1\/7 (c) -3 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 < 7.943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/26 (b) -27 (c) -3 (d) -141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111015532.\nAnswer: 2, 1667, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 45 = o + 5*b, -3*b = -4*o + 241. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 779 + -778. Let n(c) = 2*c**3 + 3*c - 1. Give n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9\/74, 0.4, -3, 17925 in descending order.\nAnswer: 17925, 0.4, -9\/74, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2)*-3 - sqrt(189)*-4)\/(sqrt(9)\/(-2*sqrt(3)*2)).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/9 and -64369 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-25) - (-7)\/((-245)\/(-119)). Sort -51, 5, -4, t in descending order.\nAnswer: 5, t, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*p**3 + 576*p**2?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*-85*(-15)\/1785\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.6 + -7. Let t(z) = -z**2 + 9*z - 16. Let x be t(7). Suppose 2*p = -0*p - 6. Which is the closest to p? (a) h (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60338 = 19*v - 3*v - 3062434. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 114. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 10 = -5*u, -2*u - 11*j = -10*j - 4. Solve 2*c + u - 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**8\/28 + 3*d**4\/4 + 9*d. What is the third derivative of x(u) wrt u?\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -27. Suppose 2*o = 3*o + 3. Let v be (-2)\/(-3)*(-1)\/o. Which is the closest to 0? (a) v (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72313, -144612, -216911?\nAnswer: -289210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*u - 1732 = 0, -3*a - 5*u = 2*a - 1740. Let m(c) = -c**3 - 13*c**2 + c + 42. Let i be m(-17). Suppose 6*k = i - a. List the prime factors of k.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32.74, -3, -4, -32 in decreasing order.\nAnswer: -3, -4, -32, -32.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*s - 292*s + 796*s - 19836 = 0 for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. Let g be -18 + (0 - 0)\/n. Let p = 31 + g. Round p to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6580 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11079157.270597 - -11079145. Let y = z + 12.27. What is y rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 930?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/2 + (-1)\/(-1). Suppose 57 = -d*j - 3*p, 7 = -j - 3*p - 2. Let s = -15 + 14.9. Which is the smallest value? (a) -5 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 17065698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + (-6*sqrt(98)*2 - 6*(sqrt(98) + 1)) + (-2*sqrt(98)*-1 - sqrt(98)) + -1)**2 + -2.\nAnswer: 1904*sqrt(2) + 28379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/sqrt(10) + 4.\nAnswer: 4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**2\/4 + 33806199*o\/4 + 8451549 = 0.\nAnswer: -11268732, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/7)\/n**(-1\/2))\/(n**0*n**3*n) assuming n is positive.\nAnswer: n**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/6 - 19*u**3\/3 + 1447*u**2\/6 - 4214*u\/3 - 3822 = 0. What is u?\nAnswer: -63, -2, 13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrrrc. Give prob of picking 3 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16683*z**3 - 1485 - 1448 + 2933.\nAnswer: -16683*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 216?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 62245503?\nAnswer: 62245506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 43) + 22 + -6 + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 103*i - 102*i - 4044, 0 = -2*i - 4*j + 8058. List the prime factors of i.\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 604*j\/3 - 18304\/3.\nAnswer: -(j - 572)*(j - 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m + 2*m**2 + 5*m + 5*m**2 - 13. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 133198\/9 - 8\/(-36). What is n rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412 + 707 + 7*u**3 + 705.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - a**3 + 4*a**3 + 24 - 2*a**3.\nAnswer: a**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 5\/(10\/(-8)). Suppose 2*l + 41 - 13 = u. Let s = 16 + l. Which is bigger: s or -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0, -6.807, -5 in ascending order.\nAnswer: -31, -6.807, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 514*-2\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72260*w**5 - 2*w**4 - 91307*w**2 wrt w.\nAnswer: 4335600*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b - 20. Let v(f) = f**2 - 3*f - 3. Let j(l) = -l**2 + 4*l + 4. Suppose -2*k + 50 = 14. Let c be 4\/k + (-29)\/9. Give b*v(a) + c*j(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-252)\/1512*2*4*(-6)\/328)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 28 + 7031*x + 105 + 2*x**2 - 27 - 28 in the form l*x + r + m*x**2 and give l.\nAnswer: 7031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53724.5 + 2.\nAnswer: -53722.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -29*n**3\/3 + 23*n**2 - n - 9. Differentiate a(j) wrt j.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 26*z**2 - 66*z - 24. Calculate y(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 + 4 - 4 + (-2*p**3 + 5*p**3 - 2*p**3)*(0*p - 3*p + 6*p) + (1 - 1 + 1)*(-p**4 + 3*p**4 + 0*p**4))*(-p - 2*p - 4*p).\nAnswer: -49*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 640605311644 + -640605309050.97075263. Let z = r + -821.02925884. Let a = -1772 + z. Round a to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 9, -20, -69, -144, -251?\n\"Answer: -f**3 - f**2 - 5*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 358857.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d629 (base 15) to base 8.\nAnswer: 601023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + n + 4 = -23, -3*k + 79 = -n. Suppose 61 = 3*m - k. Calculate the highest common factor of 319 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpvp when four letters picked without replacement from {v: 7, p: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69332212.\nAnswer: 2, 23, 753611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 1.8. Which is the closest to -1? (a) k (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 581 + -580.78. Which is the smallest value? (a) 2\/15 (b) k (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 12, -4*i + 2*p + 55 + 63 = 0. Suppose 0 = -11*k + 35 + i. Let s(h) = -h - 4. Give s(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24225 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 111\/15 + (-15)\/(-25). Solve r - 1 = 0, -3*j = j - 4*r - n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/6 + 15*m**2\/2 + m. What is the remainder when 18 is divided by l(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2493 + -2493.02153. What is n rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6)*2\/3. Let l be (0 + t)*0\/(-7). Solve 0 = j - l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -73?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164*c**3*q**3 + 2*c**3*q**2 + 6673*c**2*q**2 + 5243*c*q**4 + c + 4*q**4 - 3*q**2 - 3*q wrt q.\nAnswer: 984*c**3 + 125832*c*q + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1717 = -539. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1113987 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-1\/2)*w)\/w)**(-21)\/(w**7*w**2) assuming w is positive.\nAnswer: w**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10101000100111 (base 2) to base 16\nAnswer: -2a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 88 = 5*u, 2*u - 5*g + 77 = 22. Let z be ((-8)\/(-10))\/(4\/u). Let b = 9 + z. Calculate the greatest common divisor of b and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171*q**4*w + 89*q**3 + 93*q**2*w - 4*q*w - 2*q - 893*w - 351 wrt q?\nAnswer: 2052*q**2*w + 534*q + 186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1723 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19890? (a) 5 (b) -2\/11 (c) -3 (d) -5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83606204*s**6 - 153908566*s**2?\nAnswer: -10032744480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221101202 - -21200?\nAnswer: 10221200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1334142 and 0.1.\nAnswer: -133414.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -765.4509 times 2?\nAnswer: -1530.9018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 6:51 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 19*c + 19. Suppose 66 = 10*b - 4*b. Let d be k(b). Let m = d - 103. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/140*7)\/(18\/(-135))*(-528)\/(-36).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/16822 and -11\/52?\nAnswer: 33644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3986\/(-13951))\/((-2)\/(-1)))\/(58\/42).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 200 + 39 = 0. Suppose 36*t = c*t - 26. Sort 54, t, -5, 2.\nAnswer: -5, t, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 107 - 107 + v + 7*v**2 in the form l + w*v + i*v**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340336205 and 300385.\nAnswer: 340336205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 309, 853, 1603, 2559?\n\"Answer: 103*m**2 + 235*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/3 - 40*p**4\/3 - 200*p**3\/3.\nAnswer: -2*p**3*(p + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53116367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, k: 4, s: 2, i: 2}. Give prob of picking 2 i and 1 s.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 436322 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2 + 12*u + 9 + 11 - 6. Suppose -6*m - 10 = -m, x - m - 3 = 0. Let r(n) = n + 1. Give x*s(c) - 16*r(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 110.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 959928*q**5 + 221786*q**2?\nAnswer: 57595680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -6. Let c be 5\/o - 1\/5. Is c less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 368770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 14 + (-2 - -5) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:22 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 639678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 + 6*t - 24. Let x be u(6). Is 47\/4 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -2. Suppose x*s = 3*n + 54, n + 0*n + 2*s = -30. Is -23 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -0.5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(0*k - k + 0*k) - 4 + 4 + 2*k - 5*k + 3*k + 0*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2057) + 4)**2 - (5 + sqrt(2057) + 2)**2) + -4.\nAnswer: -8329 - 418*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.6 plus -341599.79?\nAnswer: -341544.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1206 = 2*d, 3*s - 4*d - 33 = -954. Is -303 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223d93 (base 15) to base 10.\nAnswer: 1633188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.5 + 4. Let r = -2 - -1.7. Let x = r - c. What is the third smallest value in 0.3, -3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 + 35\/(-10)*8\/(-14) and 31?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50784 and 4896.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 127249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11475 (base 11) to base 12\nAnswer: 96a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5\/119, 1\/3, 28\/5 in decreasing order.\nAnswer: 28\/5, 1\/3, 5\/119, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-1)\/(-4 - -5))*-33. Let x = s - -111. Calculate the greatest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*x - 236*x = 5*w - 20, -3*x - 5*w = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 less than -8812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n - 4. Let s be (-178)\/(-36) - 204\/(-3672). Let b(y) = 23*y - 6. Suppose -2*i - 24 = i. Give i*v(f) + s*b(f).\nAnswer: -5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*s**3 - 9*s**2 - 11*s - 10.\nAnswer: -186*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j + 191766. Let s = -71078 + j. What is s rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277653869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -7*x**4\/4 - x**3 + 2*x - 5. Let o be y(-2). Let f = o + -28. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 28, 22, -0.219, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**2 - 21*g + 15*g + 104*g**2 + 6*g.\nAnswer: 115*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b**3 - 36. Let a(n) = -13*n**3 - 55. Calculate 5*a(k) - 8*d(k).\nAnswer: 7*k**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-6) + (-12)\/8. Differentiate -g - 3*s - 3*s + 1 + 4*s with respect to s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from llillllilliillllllll.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -427, -975, -1751, -2869, -4443, -6587, -9415?\nAnswer: -13041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-32 - -23)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c - 2 + 2)*(830*c + 646462 - 646462).\nAnswer: 830*c**3 - 1660*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103962301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 15 = 0, 4*b - 5372 = -3*z + 17191. What are the prime factors of b?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5499 and 14976.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a week in hours?\nAnswer: 3066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*1*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 531857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = 5*k - 2*y, -45 = 4*k - 5*y. Let z = 0.3 - -0.2. Let t = z - 0.8. Which is the third smallest value? (a) t (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1340705463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.64 less than -2862423?\nAnswer: -2862156.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 49*m + 260. Let t be y(-52). What is the highest common factor of 468 and t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-367 + 334 - (-49 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 2:27 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 11:11 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 26 + 3*r - 11)*(-3 + 1 + 0).\nAnswer: -6*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7578 - 7578.2. Suppose 0 = 3*r + 16 - 7. What is the nearest to p in -0.3, r, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 13610 = -794. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1224 = -9*z - 27*z. Put -5, 0.2, z in descending order.\nAnswer: 0.2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08764 times 0.018008\nAnswer: -0.00157822112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.509900206 and 15253?\nAnswer: 15253.509900206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -3*m + 4*m, -2*m - 5 = 3*y. Let t be ((-33)\/8)\/(m\/(-23048)). Let f = 9519 + t. What is the common denominator of f and -109\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*r - 26 = 0, 2*g - 4*r - 24 = -2*g. Suppose -g*b - 40 = 3*b. Let h = 22 + b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Let j = 5.5 + -6. What is the second biggest value in -1\/6, j, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.009 rounded to zero decimal places?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/10080 and -71\/5888.\nAnswer: 1854720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose 0 = 4*a - 2*v + 2, 8*a = 3*a - o*v + 25. Find the second derivative of 0*z + 2*z**2 + 0*z**a - 2*z wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 = 2*t. Let z be -1 - t*(-6)\/(-3). Suppose 3*x = y + x + 6, -27 = -z*y - 3*x. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -4*q - 3, -4*d = 5*q - 3. Solve 3*t + t - 16 = 4*z, 3*z + 7 = -d*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 72 (b) -5 (c) 0.1 (d) -811 (e) 2 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(14)\/(sqrt(42)\/sqrt(6))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**5\/10 - 31*j**4\/6 + 85*j**3 - 225*j**2 - 49*j + 37. Let k(t) be the first derivative of i(t). What is q in k(q) = 0?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184936 or 2034302\/11?\nAnswer: 184936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2 and (5\/380)\/(2\/(-97)).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154172 is divided by 914?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 625763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (79 - (15 - 1))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1985, 3948, 5893, 7820, 9729?\nAnswer: 11620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5732, 5572, 5306, 4934?\n\"Answer: -53*g**2 - g + 5786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 10 - 4. Let i(g) = 0*g - o*g**2 + 0*g. Let h(j) be the second derivative of -j**3\/3 + 9*j. Calculate h(i(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.141 and 4897241722.\nAnswer: 4897241722.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 9*o**2 + 3*o - 4. Let f be k(-4). Find the second derivative of -x**5 + f*x**5 - 5*x**2 - 1 + 7*x**2 + 0*x**5 - 42*x wrt x.\nAnswer: -20*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.79 - 2.79. Let q(j) = -3*j**2 + 7*j + 11 + j**2 + j**2. Let k be q(8). What is the second smallest value in a, k, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 765, 2674, 5777, 10092, 15637, 22430, 30489?\n\"Answer: 3*s**3 + 579*s**2 + 151*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 4. Let p be s(0). Suppose 6*r - 10 = p*r. Suppose -5*d - 10 + 141 = -c, -r*d = c - 139. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*k + 258*k - 18 + 18 + 84*k.\nAnswer: 126*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81416488 by 7298.\nAnswer: -11156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acs when three letters picked without replacement from sssascasssaassasssss.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -23*h - 2. Let z(n) = 12*n + 1. Let t(x) = -6*s(x) - 13*z(x). Is t(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 6}. What is prob of sequence us?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1130329 divided by -59491\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7419599 - 5119987 = i, 4*i + 3*l = -50158413. Let b = -5249601 - i. Round b to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 4*u**2 + 12*u + 19. Give d(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 5*z - 1. Suppose 0 = 9*o - 4*o - 5. Let m be ((-4)\/(-5))\/(o\/5). Calculate the remainder when 21 is divided by q(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -21*z**3 - 3*z + 7. Let w(a) = 11*a**3 + a - 3. Let c(p) = -3*d(p) - 7*w(p). What is the second derivative of c(m) wrt m?\nAnswer: -84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6895 - -24393. Calculate the greatest common divisor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149 times 14?\nAnswer: -2.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 286 and 285 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222162 a multiple of 904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -7*a + 13*a. Let t(w) = -w**2 - 7*w + 4. Determine t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b + 35. Let j(f) = f + 9. Calculate -9*j(d) + 2*v(d).\nAnswer: d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(((w**(-9)\/w)\/w)\/w)*w)\/((w*w\/(w*w\/((w\/(w\/w**(-7)))\/w*w)*w*w)*w*w*w)\/w) assuming w is positive.\nAnswer: w**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) -2 (c) -6\/9293 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -116193.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r - 12. Calculate n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n + 3 + 6*n + 5*n - 7. Let i(g) = -2*g**2. Calculate i(t(r)).\nAnswer: -18*r**2 + 48*r - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 656898 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/60 - v**4\/3 - 5*v**3\/6 + v**2. Calculate the smallest common multiple of i(-7) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2 - -3)\/(-1))\/1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 96576, 56 in decreasing order.\nAnswer: 96576, 56, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10.351 (b) 10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -65. Put 3, u, -3 in descending order.\nAnswer: u, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.1. Let d = -4768\/15 - -318. Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7946383?\nAnswer: 353, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - f + 2*f + (-4 - 5*f + 4)*(3425 - 110 + 1537).\nAnswer: -24259*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*t - 8. Suppose -t*u = -2*p - 20, -7*p = -2*p + 5*u - 25. Is 1 + p + 25\/5 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2200*p + 81*p**3 + 2200*p + (4 + 0 - 2)*(-p**2 + 2*p**3 + p**2) + p**3 - 3*p**3 + 4*p**3)*(-4*p**2 - 2*p**2 + 7*p**2 - 2*p - 7).\nAnswer: 87*p**5 - 174*p**4 - 609*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6600054 is divided by 471432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2105 + 2122 + 33*k - 4226. Let z(c) = 65*c + 2. What is -5*i(x) + 2*z(x)?\nAnswer: -35*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35183 (base 9) to base 4.\nAnswer: -11232330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 6*l - 268. What is the highest common factor of 72 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 5*i - 60 = 2*w, -i + 75 = 5*w. What is the units digit of 3\/w - 19\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2843\nAnswer: -2843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) 9\/2 (c) -1 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7487641 (base 9) to base 2\nAnswer: -1111010100000100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26489, -106061, -238717, -424457, -663281, -955189?\n\"Answer: -26542*n**2 + 54*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 154337 = 41751. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1200\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {x: 1, k: 2, m: 4, j: 1, t: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 2*x = -4*c + 8, -2*x - 8 = c. Solve -8 = 3*f + 2*d, c = 5*f - 3*d - 9 - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgft when four letters picked without replacement from {f: 1, x: 10, s: 1, p: 3, t: 1, g: 2}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 30. Suppose -b - b - 5*o + 47 = 0, -96 = -3*b + o. Calculate the remainder when f is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -1\/4, 2\/17, 11672.\nAnswer: -6, -1\/4, 2\/17, 5, 11672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632588 is divided by 1318.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 6:08 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230353083?\nAnswer: 3, 37, 601, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 13 = -8*x + f, -18 = 3*x - f. Let v(q) = q**2 + 8*q + 6. Determine v(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -142. Let r = f + -205. Let d = -68 - r. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 + 10*x + 14. Let m(h) = -4*h**2 + 3*h - 3. Let s(i) = c(i) + 2*m(i). Give s(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/3)\/((-180652)\/(-2567160))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1045 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.132 - -0.13187333. Round t to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*c - 5886 + 2322 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -582 - -586. Solve 0 = -3*w - 4*t + 13, u*w + w - 4*t = -21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 12, -57 = 3*i + 2*n + 3*n. Let u be 12\/10*(-60)\/i. Suppose -3*a + 108 = u*a. Calculate the remainder when 88 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -i*h + 1 = -3. Find the third derivative of m**3 + 3*m**3 - 2*m**2 - m**h - 3*m**3 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 185809350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/7)))**8\/(q**(-2\/33)\/q**26) assuming q is positive.\nAnswer: q**(5492\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0*s + 6 + 2*s - 3*s. Suppose -4*d = -7*d - 18. What is the units digit of q(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3 + 13*d**2 - 56*d + 80 = 0.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 15 = 9*l - 6*l, 25 = 5*l + 3*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36183.\nAnswer: 3, 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 863 = 190*u + 483. Let c(k) = 17*k - 50. Determine c(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2059 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 42*r - 386 = 157*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u = 4. Suppose -u*v - 20 = 3*v, -2*q - v = -4. Suppose -4*n + 4 = -q. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425014.\nAnswer: 2, 712507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -38 + 13. Suppose o*c - 3*f - f - 832 = 0, -c = -f - 166. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12791, -25484, -38177?\n\"Answer: -12693*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w + 6*w - 38 + 2391*w**2 + 37 - 97*w**2 - 20*w.\nAnswer: 2294*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0.5. Let a = 3 - j. Suppose -8 = 4*x - 24. Sort 3, x, a in decreasing order.\nAnswer: x, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40906926*r - 81813851*r + 40906923*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b + 56997?\nAnswer: 56909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176070, 346056, 516042, 686028, 856014?\nAnswer: 1026000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 891969547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 2649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79.12158 + 0.06158. Round f to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1862, -1946, -2076, -2246, -2450, -2682, -2936, -3206?\nAnswer: -3486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 20, -6*x = -x + 5*z + 420. Let g = x - -124. Calculate the greatest common factor of g and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118)\/708 + 13\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -4*p, -i - 1081*p = -1058*p + 437 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 674.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 173. Let f = y - 31. Which is the closest to -0.1? (a) -4 (b) -1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*k - 8, -3*n - 2*k = -6*k + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985 = -3*c - 185. Let r be (8\/5)\/(4\/c). Calculate the common denominator of -14\/9 and (r\/18)\/((-14)\/6).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:11 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5436 divided by 3.\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -267050.53.\nAnswer: -267049.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93.8 in -1, 14.5, 3\/2, 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86a (base 16) to base 5.\nAnswer: 32104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6554 and 5619445478.\nAnswer: 6554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083122179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011110100 (base 2) in base 6?\nAnswer: -23204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1) + -5 + 5. Let o(j) = -j**3 + j**2 + j + 1. Let g be o(a). Solve 5*p - 2*i - 23 = 0, -5 = i - g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**3 + 5*o**2 - 8*o - 4. Determine x(4).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -167858 greater than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 47 = -3*i + 14*w, 4*w - 48 = -2*i. What is the third derivative of -26*t**4 + 13*t**4 + i*t**4 - 2 + 37*t**5 - 5 + 5*t**2 wrt t?\nAnswer: 2220*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 9. Let h be r(-15). Suppose i - h = -2*i. Suppose -5*j + 152 = -i. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 161.51477533 and 1294.\nAnswer: 1455.51477533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1084686198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3+203\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from {v: 5, c: 2, m: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4129 + -4063. Calculate the lowest common multiple of q and 78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 24, -29, -114, -237, -404, -621, -894?\nAnswer: -1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - 4*u)*(-2*u**3 + u - u) - 8*u + 8*u - 4*u**4 + (-2 + 1 - 8)*(-2700*u + 2700*u + 49*u**3 + 2*u**4).\nAnswer: -18*u**4 - 441*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25\/68 + -2\/17. Let p be ((-87)\/133 - -1) + -1. Let z = p - -7\/19. Put f, z, -0.4 in ascending order.\nAnswer: -0.4, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o + 1. Let f be v(5). Suppose -f*b = -6*b - 55. Solve -3*h + 6 = 5*z - b, -2*h - 5*z = -18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v - 17*v + 331 = 5*l - 23*v, -l - 1 = v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211\/53 or 0.1?\nAnswer: 211\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 149 (b) -0.5 (c) -0.16 (d) 0.3 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -75*y**2 - 6*y - 45. Let l(w) = -64*w**2 - 5*w - 40. Let c(p) = -6*a(p) + 7*l(p). Let d(h) = 5*h**2 + 2*h - 21. Determine -9*c(q) + 4*d(q).\nAnswer: 2*q**2 - q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.12625 take away 0.9?\nAnswer: 118.22625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -11*s**3\/3 - 2*s**2 - 2*s - 16. Let r(l) = -21*l - 5. Determine -5*q(n) + 4*r(n).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 12*m - 19*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51067 + 51074.1219. What is l rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 15*p + 10. Let w be 18 - (10 + -8)*9\/6. What is f(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 2:54 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -74205.6679 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.073 + -0.073. Let t = l - 34. Suppose -5*j - 6*f - 6 = -5*f, -4*j - f - 4 = 0. Which is the nearest to t? (a) -5\/3 (b) 1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31287309*v**3 - v**2 + 407*v + 233.\nAnswer: 187723854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100001010 + 1001?\nAnswer: 11100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 6\/1145, 7, 4\/5?\nAnswer: 6\/1145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 12. Calculate the lowest common multiple of 4 and c(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -14*n - u, 375*u = n + 379*u + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849343102.\nAnswer: 2, 107, 3968893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -600b + -1?\nAnswer: -6010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112877649 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 not equal to 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-43)*m)\/(m*m**(-12\/5))*m**36\/((m**(2\/137)*m)\/m*m) assuming m is positive.\nAnswer: m**(-3846\/685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - g**5 + g**5 + (-1 - g**5 + 1)*(0 + 4 - 2) + 2*g**4 + g**5 - 2*g**4 + 4*g**5 - 5*g**5 - 2*g**5.\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(72) - sqrt(72)*-1)\/sqrt(2))\/((sqrt(108) - (sqrt(108)*2 + sqrt(108) - sqrt(108)))*-1).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 653 + -621. Let x(c) = c**3 - 31*c**2 - 34*c + 72. What is x(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 187 or 1123\/6?\nAnswer: 1123\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-56)*-8*7. Let v be 22 - h - (1 - -1). Solve 11 = 2*d - 3*d - 2*u, v = 3*d - 2*u + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 3*p**2 - 3*p**2)*(-4 + 7 + 2)*(2 - 1 + 0 + (-1 - 1 + 3)*(-1 + 2 + 1) - 1 + 1 + 1 - 3 + 2 + 2 + 5 - 4 + 1 + 2 - 2 + 1).\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 2*g. Let n = 33 + -32. Let z(k) = -k. Give n*z(r) + p(r).\nAnswer: -r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2320 and 597364?\nAnswer: 346471120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.043, 2\/497, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*n**5 + 8118*n**4\/5 + 5718*n**3\/5 - 22644*n**2\/5 + 2376*n - 1296\/5 = 0. What is n?\nAnswer: -6, -3, 3\/20, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 249009 and 249009 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {v: 5, k: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 274026.736 rounded to the nearest 10?\nAnswer: 274030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24140 and 2298128.\nAnswer: 11490640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*d + 8, -4*d + 5*c - 20 = -9*d. Suppose 0 = d*l - 8 - 4. Find the third derivative of -26*x**2 + 10*x**2 - 3*x**4 + 9*x**l wrt x.\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-11)\/(22\/24). Suppose 5*f - 351 = -376. Let l be (32\/(-4) - f) + 0 + 12. Is l at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 257 - 304. Put -1, -5, 4, j in descending order.\nAnswer: 4, -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6031 - -271486\/45. What is the common denominator of 31\/57 and a?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2057) + 0 - (sqrt(1700) + -1 - sqrt(17))) + 1 + (sqrt(1377) - (1 + sqrt(1377)*-1)))**2.\nAnswer: -72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188 - 184. Find the first derivative of -a*j - 11*j + 5*j - 19*j - 47 wrt j.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 - (-152)\/5. What is the highest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4257625 (base 9) to base 5\nAnswer: 1041013104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 497410?\nAnswer: -49740c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + r - 14. Determine a(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + 164\/(-38))*(-2)\/(-1). Let a = h + -2\/57. Determine r, given that -10\/3*r + a - 2\/3*r**4 + 2*r**2 + 2\/3*r**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.86 + 0.00847091?\nAnswer: 1.86847091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 - 4 + 4 - 8*y**3 - y**3 + y**3 + (2 - 1 - 2)*(3*y**3 + y**3 - 2*y**3) + 0 - 4*y - 3 + 8*y**3 - 9*y**3 + 2*y**2.\nAnswer: -14*y**3 + 2*y**2 - 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1027462 to the nearest ten thousand.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/(-5) - (-4)\/10. Let r = -3 + q. Suppose -79*t + 32 = -71*t. Solve 0 = 5*d + 4*p - 21, p + t*p - 15 = r*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3674 - 2613. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**5\/120 + g**4\/6 + g**3\/36 - g**2 - 6236*g. Solve c(y) = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*h, -932*h + 953*h = -p + 63 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13943489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -75*w + 294. Let v(z) = -38*z + 147. Let t(f) = 6*i(f) - 14*v(f). Differentiate t(m) wrt m.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9648 rounded to 2 dps?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 37 = -2*s, -3*s + 2*m = -8*s + 83. Let b = -8 + -2. Let f = s + b. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.3 (b) 0.4 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34918?\nAnswer: 2, 13, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*r)*(-7*r**2 + 10 + 5 - 18 + 2*r).\nAnswer: -14*r**3 + 4*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 + 19*b**2 - 7*b - 17. Give z(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1258*a + 25672 - 28511 - 42450 = 31449 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-65)\/3315)\/((-8)\/68))\/(12\/(-160))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020 (base 4) to base 9.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let b be h(0). Suppose b*u = u - 19. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*2*sqrt(1539)*-2)**2 + ((sqrt(1900) + -1)**2*4 - (sqrt(76)*2)**2*-6).\nAnswer: 352*sqrt(19) + 895893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/(-42) - 10\/(-35). Let c = 1\/3 - z. Let m(d) = -d**2 + 6*d - 1. Let f be m(6). What is the nearest to f in -0.2, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Let m = 99 + -95. Let s = m + 0. Let c(y) = -3 - s - 8*y + 1 + 1. What is w(c(a))?\nAnswer: -16*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65417 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (-1)\/(-1) + (-87)\/((-3741)\/86)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/6 - 19*n**2\/2 + n. Let i be u(0). Let s = i + 30. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 19. Let h be q(8). Let o be h\/(-4) + 0 + 0. Suppose -11*u + 8*u = 12. Sort o, -5, u, 3.\nAnswer: -5, u, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3568044249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6463 (b) 1\/9 (c) 5612\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i + 83*i - 26 = -3*f + 34*i, -35*f = 4*i - 218 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 32 = 2*l - 156, 0 = -5*l + q + 503. Suppose 4*h = -4*y + l, -8*y = -h - 4*y + 25. Solve -2*g = 3*g + h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 699, 1038, 1369?\nAnswer: 1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 2 + 2)*((6606 - 6606 + 164*u)*(2 - 3 + 4) - u - u + 4*u)*(u**2 + 3*u**2 + 0*u**2).\nAnswer: 5928*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 50, 47, 34, -1?\n\"Answer: -2*y**3 + 13*y**2 - 30*y + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1618.7481 times -24\nAnswer: -38849.9544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 145958826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 5 + (1 - 6 + 3)*(1 - 2 + 0) - 4 + 2 + 5 - 1 - 2 + 2)*(0 - 2*g**3 + 0) - 3*g + 3*g + 16*g**3 in the form y*g + p*g**2 + k + w*g**3 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 14331?\nAnswer: -14321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 3*l - 4. Let u be p(-3). Let s be (-4)\/8 + (-5)\/(-2). Let h(x) = 1 + 1 - 3*x + s*x - 6. What is h(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-10)\/(-45)*-3)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2683*t - 2529*t = 462 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -395, -387, -377, -365?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -9*v + 13*v - 79, -3*h + 302 = -v. Suppose -2*b = -0*b - 22. Calculate the highest common factor of h and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 1.2, -15, 2141, -0.1, -0.4, -1\/4?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (35\/21)\/((-10)\/(-48)). Solve -j*z = -z + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2771 - 3258*x**3 + 2771 + 3260*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/5 + 2*-1. Suppose r*j = -j + 20. Differentiate -2 + 3 + j*i**4 - 6*i**4 with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r + 0*r**4 + 0 - r**2 - 1\/15*r**5 - 1\/120*r**6 + 0*r**3. Find the third derivative of b(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.3, 2\/5, 4, 133?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10167 - -10163. What is the closest to n in 4, 16, -0.4, -2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4706 - 9417 - h + 4711. Let m(f) = 95*f**2 + 8*f + 1. Give m(p(v)).\nAnswer: 95*v**2 - 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210 (base 4) to base 5.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**3\/6 - 3*s. Let n(x) = 5*x**2. Determine r(n(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/6, -2, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-5))\/(5\/(-50)). Let u = -26125\/16 - -1638. What is the common denominator of (4\/j)\/(3\/(-282)) and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 246307016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671680*n**3 - 671683*n**3 + 1343364*n**3 - 3*n**2 + 3*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.76 - -18.6381. Round m to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(351) + (sqrt(195)*2)\/sqrt(5))\/(3*sqrt(30)\/sqrt(10)*-4).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34\/5 + 7. Suppose -11 = -3*p - m, 4*p - 2*m + m - 3 = 0. Which is the third biggest value? (a) y (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 33*d + 54 - 11.\nAnswer: 34*d + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146.1 - -153. Let h = n + -89.5. Round h to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*117\/36 + 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-1)\/(9\/633) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.62164086459 - 3.\nAnswer: -3.62164086459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -9\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 22 = -2*p, 0*a + a - 5*p = 29. Solve 2*r + 2 = -a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*b - 0*z - 11, 0 = -3*z + 3. Let y(u) = 203*u**2 + 6*u - 3. Is y(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/3 - 2597138*q\/3 = 0. What is q?\nAnswer: 0, 1298569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 11:23 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(2\/7))\/y)**(-41)*((y*y**(-1\/11))\/y)\/(y*y\/y**(-1\/3)) assuming y is positive.\nAnswer: y**(-12737\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 7*q - q**3 + 17\/4*q**4 - 11 + 0*q**2. Find the third derivative of w(g) wrt g.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262509991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.726448544 rounded to 3 dps?\nAnswer: -0.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:43 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2456880 = 50*d - 13*d + 50*d. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, j: 9, p: 5}. Give prob of sequence pppp.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*n**4 + 2*n**3 - 911.\nAnswer: 304*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 493927644 a multiple of 3840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 5*c + 4*c)*(-2 + 0 + 1)*(1 + 0 + 0) + 24*c + 10*c - 7*c as x*c + h and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:48 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-4)\/(-10)*(-8)\/(-16))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101115 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -722*p**3 - 6132060*p**2 - 13038515136*p - 78010492608.\nAnswer: -2*(p + 6)*(19*p + 80628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50953, 203804, 458565, 815242, 1273841, 1834368, 2496829, 3261230?\n\"Answer: h**3 + 50949*h**2 - 3*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/275*(-25)\/5\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 10. Let u be 1*(j\/1)\/1. Suppose 9*r + 25 = 4*r + u*b, 0 = 2*r + 3*b. Is r bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -148, -238, -294, -304?\n\"Answer: 2*k**3 - k**2 - 123*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300071 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120014515254 + -1?\nAnswer: -120014515255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 16) to base 4\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 272 = -29*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utp when three letters picked without replacement from {t: 1, p: 1, u: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 51. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -6, 5 in descending order.\nAnswer: 5, -6, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -20. Let p = i - 11. Let y = 2.7 + p. Is y at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p. Suppose 3*x = x. Let j(r) = 0*r - r + x*r. Calculate n(j(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/28 - ((-4)\/(-7))\/((-296)\/(-9990)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*k - 60 = 360*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - (-51)\/15. Suppose -o*u + 20 = u. Suppose -4*n + u = n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24980 and 240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 6. Find the third derivative of -16*o**6 + g*o**5 + 12*o**6 - 3*o**5 - 9*o**2 wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -0.0079\nAnswer: 0.1975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 6, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d + 3. Suppose 0 = 5*y - 5*p - 490, 863*y - 4*p + 231 = 866*y. Calculate the remainder when y is divided by x(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 5*r**2 + r + 14. Suppose 2*d - d - 6 = 0. Let w be f(d). Is 32 a factor of 1218\/w*4*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6. Let o = q + 1. Let j = 3 - o. What is the third biggest value in 0, j, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 3. Suppose -4*d + 5*d + 7 = 0. Let t = 18 + -14. Let f = d + t. Determine y(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(325) - (sqrt(325)*1 + -4)) + -6*(sqrt(325) + sqrt(325) + 1*sqrt(325)) + sqrt(325))**2.\nAnswer: -469705 + 3400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*p + 3*p**4 + 28*p**6 + 40*p**5 - 39*p**5 - 32*p**6 + 79*p**2 - 124*p wrt p.\nAnswer: -480*p**3 + 60*p**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*h, -3 = 4*h - n - 17. Solve h = d + 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p)**(-43)\/((p**(-4)*p)\/p**(-4\/3)) assuming p is positive.\nAnswer: p**(263\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -745.5604 to 1 decimal place.\nAnswer: -745.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y + 75 = -135. Solve -14*w + 2*z - 4 = -12*w, -3*z = -y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 7*w**2 + w + 7. Suppose c - 6*c - 35 = 0. Let j be s(c). Suppose j = -4*g - 0*g. Solve g = i - 0 + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 10*s**2 - 7*s - 13. Suppose 3*i - 6 = -0*i. Let d = i + 7. Let k be g(d). Sort 4, -0.4, k.\nAnswer: -0.4, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0421 + -5.0421. What is the smallest value in 5, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-552)\/8*889\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.30775 and 1352.84.\nAnswer: 1349.53225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 - 34?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.32 + -30.92. Let g = -27.600000545 - q. Round g to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -499533 (base 12) to base 10.\nAnswer: -1198263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d + 44. Let g be (-19)\/d*(1 - 7). Let n = -757\/11 + 69. What is the nearest to -2\/7 in g, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2016 and 44649864.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1407 - 887. Suppose 0 = -3*o + 623 + v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven fifths of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) 9 (c) -3 (d) 1\/2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 86 + -23 + -15 - 5\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 198 = -2*a. Find the common denominator of 5\/(-18) + (-6)\/(-3) + -6 and (-2)\/(-4) + 222\/a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 691 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 7832144 - 8167856. Suppose -5*x = -0*x + b. Round x to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/195 and -20\/507.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 14495\/1 - (-10 + 3 + 18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47062, -47072, -47082, -47092?\nAnswer: -47102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = c - 3*c. Let d = 11.42 + -11.62. What is the nearest to d in c, -1\/4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22055.\nAnswer: 5, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/11, -17\/6 in decreasing order.\nAnswer: -2\/11, -17\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7389 - 2.623. Let b = n - 0.115898879. Round b to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 7*x**2 - 3*x + 8. Calculate k(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14376*q + 189. Is m(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**2 - 5*w + 5. Let v(s) = -3*s**2 - 2*s + 2. Let g = 52 + -32. Suppose 28 = 2*n + g. Suppose 0 = n*z + 2*z - 30. What is z*v(c) - 2*i(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8047 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/5)\/(-6) - (-3059)\/6. Suppose 0*j + 5*j = k. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s**2 + 4. Let z(t) = -t + 1. Let n(h) = -r(h) + 2*z(h). Suppose -3*y = y - 8. What is the common denominator of 47\/9 and n(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3434244 and 88.\nAnswer: 6868488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y - 18. What is the units digit of (-14)\/(y\/(0 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -3. Let d = 14 + -20. Let s be (4\/6)\/(k\/d). Which is the third smallest value? (a) 2\/3 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q**2 + 12*q**2 - 9*q**3)*(-4*q + 2*q**2 + 3*q + 2*q).\nAnswer: -18*q**5 - 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167599 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 420 = -4*f, -4*u - 4*f + 180 = -648. Let i = -124 + u. Is 59 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141219941?\nAnswer: 61, 2315081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. What is the closest to 1\/3 in 1, g, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/28 and 73\/482?\nAnswer: 6748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 16*k + 82. Let c be h(-4). Let f(a) be the first derivative of -16*a**c - 7*a**4 + 76\/3*a**3 - 16*a + 4. Find m such that f(m) = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8923?\nAnswer: 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efwmemmkpfmffmfpm. Give prob of sequence mm.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:46 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17*u**4 - 14*u**4 + 32*u**4)*(12 + 16 - 2*u - 25).\nAnswer: -2*u**5 + 3*u**4 - 34*u + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55487?\nAnswer: 55487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (31 - -6)) + (-1 - -7) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 13*g + 5. Let x(w) = 2*w**2 - 6*w + 3. What is 3*v(z) - 5*x(z)?\nAnswer: 2*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 34, -0.141122 in descending order.\nAnswer: 34, -1\/16, -0.141122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 983.1905 - 0.1905. Let c = 983.4541 - w. What is c rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 350. Let l be (28\/(-1))\/((-26)\/6 - -5). Is c(l) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.557181 - 320.637781. Let g = r - -315.08. Let j = -3 - g. What is j rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = 6296 + 1595. What is f rounded to the nearest ten?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11b (base 15) to base 7.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-11 + -3 + 10 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2004.161 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(4\/5))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -23. Let q(h) = -35*h - 65. Let z be q(-2). Put 1, v, z, 0 in increasing order.\nAnswer: 0, 1, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-2)\/3 + 1). Let c = 6 + b. Solve -v**3 - 8*v + v**2 + 9*v**2 - 3*v**c + 2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*f + 5*b + 18, -5*f - 5*b = 5. Suppose 5*n + 77 = -4*h, 3*h + 5*n + 68 = 4. Sort h, 4, f.\nAnswer: h, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 + -1 + 2. Suppose -4*p = -s - 0*p - 47, 3*s - 4*p + 149 = 0. Let x be 72\/34 + (312\/s - -6). Solve 1 + y = -x*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*q**2 + 158962*o**2*q - 28*o**2 + 431*o*q**2 - 6*o*q - o - 375*q**2 - 1 wrt o?\nAnswer: 2*q**2 + 317924*q - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggagaagagaa. What is prob of sequence gg?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*j = 877*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31281*f**4 - 23179*f**2.\nAnswer: 750744*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1138 - 9.1162. Let d = w - -9.83. Let u = -1.2 + 0.2. Which is the biggest value? (a) -3\/7 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66)*2*-2 - sqrt(66)*-1*3)\/(sqrt(294)*-1*5)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 12. Which is the smallest value? (a) -2\/5 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59588110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 941 + 83. 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 the value of (2\/(-22))\/((-20)\/(-40))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/12 - 1\/4. Suppose l*j + 2*r = 3*r - 160, 2*r = 4*j + 212. Let p = 91 + j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c - 12. Let q(z) = 8*z + 3 - 5*z + 3 + z. Let r(f) = -3*o(f) - 7*q(f). Determine r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 45 + 1 - (13 - 31 - (-23 + -1)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 122 - 32 = 0. Suppose -132 = 4*w - 8. Is d at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 40*f**2 - 319081*f - 15613360.\nAnswer: (f - 569)*(f + 49)*(f + 560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5205988 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 23694.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:44 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2988.566 millilitres?\nAnswer: 2.988566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92220 and 92220?\nAnswer: 92220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 742, 1113, 1484, 1855, 2226?\nAnswer: 2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxsqxsqqsxcqx. Give prob of sequence qcsc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/o)\/o**2*o\/o**(-6\/5)*o*o**(-2\/9)*(o\/(o\/(o**(2\/3)\/o)))**(1\/56)*(o*o**1*o)**(12\/11) assuming o is positive.\nAnswer: o**(-159541\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52191, -52199, -52207, -52215, -52223, -52231?\n\"Answer: -8*w - 52183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/9 - (-88272)\/81. Suppose 4*h + 1253 = -5*a - 197, -5*a = 3*h + f. Round h to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -5390231?\nAnswer: 2695115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/5, 0.1, -3, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1624224*d**3 - 1496103.\nAnswer: -4872672*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 (base 8) in base 4?\nAnswer: 10133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*d**3 + 3221*d**2 + 3615533*d wrt d?\nAnswer: -1602*d + 6442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(4\/7)\/c)\/c)**(6\/17))**47 assuming c is positive.\nAnswer: c**(-2820\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -295.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - sqrt(96)\/sqrt(3)) + -2 + 4*-2*sqrt(32) + -1*6*(2 + sqrt(128) - sqrt(128)))**2.\nAnswer: 896*sqrt(2) + 2244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((120\/1050)\/((-4)\/10))\/(203\/(-18473)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2077*j + 3255. Let i(g) = -56*g + 88. Let f(m) = -186*i(m) + 5*y(m). Calculate the remainder when f(4) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (389*j**2 + 20 + 388*j**2 - 778*j**2 + 2*j)*(-j**2 - 1 + 1) in the form m*j + d + p*j**3 + o*j**4 + v*j**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -3, -5, -13.4, 0.5, -27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -92, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4169561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1970a - -1?\nAnswer: 19710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -646, -69, 3, -4, -3 in decreasing order.\nAnswer: 3, -3, -4, -69, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*i + 13194 + 21912 + 8313 = 0 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 11 = 2*h, -8*h + 31 = 5*i - 6*h. Solve 6 = -3*d, i*q = 2*q + 2*d + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 8 - -2 - (7 + -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v - 25. Calculate the lowest common multiple of ((-9)\/(-4))\/(-6 - 146\/(-24)) and l(5).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -3. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h - 4. Let t(w) be the first derivative of -h + w + 0*w**2 - 1\/3*w**3. What is the first derivative of t(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.5522 to one decimal place.\nAnswer: 34.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496688023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**(-1\/3)*n**(3\/2))\/(n**(1\/3)*n)**15)**22 assuming n is positive.\nAnswer: n**(-1045\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 9*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - a + 3, 17*j + 51*a + 8*a = 12*j - 723 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/3 - 4)\/(3\/2). What is the second derivative of 33*c**2 + 7*c**v - 21*c**2 - 145*c wrt c?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01111541 to four dps.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 22. Let k be z(3). Sort -1, 59, -1\/4, k in increasing order.\nAnswer: k, -1, -1\/4, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m + 53. Let p be j(-27). Suppose -p = 10*l - 3222. What is the remainder when l is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/255016 and 21\/32.\nAnswer: 1020064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.384 + -82.216. Let j = -52.3 - l. Let d = -30 + j. Sort 0.1, d, 5\/3 in decreasing order.\nAnswer: 5\/3, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 994, 996, 998, 1000?\n\"Answer: 2*x + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512922?\nAnswer: 2, 61, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/120 + h**5\/30 - h**4\/6 - 2*h**3\/3 + h**2. Suppose -3*m + 18 = -0*m. Suppose -9 = 5*u + m. Give n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(325) + -2) + (sqrt(1053) + sqrt(1053)*2 - sqrt(1053) - 6*sqrt(26)\/sqrt(2)))**2.\nAnswer: -68*sqrt(13) + 3761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + (-1 + sqrt(112) + -1 + (sqrt(112) - (1 + sqrt(112) + sqrt(112)*2)))*-4 + 5)**2.\nAnswer: 704*sqrt(7) + 2276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -3, -4, 7 in ascending order.\nAnswer: -4, -3, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/5*1\/3. Let c = 3 + -6. Let s = c + 2. Is x > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**5\/70 + y**3\/7 - 2*y**2\/7 - 4*y - 5. Let g(d) be the first derivative of n(d). Factor g(v).\nAnswer: -2*(v - 1)**2*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44)*-1)*5.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + h + 4*h = -225, 0 = 3*z + 5*h - 143. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, h: 3}. What is prob of sequence hhv?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 4 + -1*1. Suppose -x - x + 3*x = 0. Let r = s + x. Solve 0 = 3*j + c + 14, 5*j - 2*c = -r - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -2)*3)**2 + -3 - (sqrt(85)\/sqrt(5) + 0 - (0 + 1*sqrt(17))**2).\nAnswer: -37*sqrt(17) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1651 + -16577\/10. Find the common denominator of y and 2\/4 - (-93)\/21.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245 - -958. Let u be c\/(-13) + 8\/(-52). Let l = u + 163. Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -1)\/(5 - 4). Suppose i = -q + 5*q - 1728. Suppose 6*o + 6*o = q. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026821965 rounded to 7 dps?\nAnswer: 0.0002682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -59, -237, -577, -1133, -1959, -3109, -4637?\nAnswer: -6597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 8*p**2 + 2*p + 4. Does 5 divide d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382780997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-26)*s*s)\/s)\/s)**(2\/45)*s**(4\/13)\/s**(4\/3) assuming s is positive.\nAnswer: s**(-1276\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r**3 + 4*r**3 + 0*r**3)*(417*r - 331353 + 331353) to a*r + o*r**2 + u*r**3 + l + w*r**4 and give w.\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 856824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 1075.\nAnswer: 9675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 8. Let g be v(-2). What is the tens digit of (2\/g)\/(0 - 4\/1696)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221245 (base 8) to base 2.\nAnswer: 10010001010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 1.6. Let g = v + 1.2. Let m be 12\/3 + -3 - 3. Put 0.1, m, g in ascending order.\nAnswer: m, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1032*s = 10478 - 24383 - 28407 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9010754, 9010753, 9010752, 9010751, 9010750, 9010749?\nAnswer: 9010748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4*(-216)\/(-486)*-3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/3 - 4)\/(-2)*1. Solve 0 + a = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 8*k**2 - k + 9. Suppose t = 5*p - 3, 5*t + p - 25 + 66 = 0. Let n be x(t). Let g = 5 + n. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, 2, 0.8, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9387 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 503*y + 1796 with respect to y.\nAnswer: 503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*y = -1042*y + 183 - 962 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -179. What is the first derivative of -3 + 39 - t*f**2 + 11 + 2*f wrt f?\nAnswer: -32*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -12*x**4 - 316156*x**3 - 2081491752*x**2 + 11805906816*x + 4166567424 = 0.\nAnswer: -13176, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 3*d - 20, 0 = 5*w - 5*d + 30. Let y(c) = c - 1. Let s(f) = 4 + 1 - 4. Suppose 5*v + 3*m = 5, 4*v = 4*m - 3*m + 4. Determine v*s(i) + w*y(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 48*q - 21 = -5*x, 2*x = -3*q + 7. Sort 2, q, 1\/3, -4 in decreasing order.\nAnswer: 2, 1\/3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -18. Let x = 0 + 2. Suppose -2 - x = t + j, 0 = -t + j + l. Let g(y) = -2*y. Give g(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:34 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79\/395)\/((-14)\/(-60)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-35))\/(((-2)\/4)\/(126\/72))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29908*i**4 - i + 42363*i**4 + 2*i)*(-1 + 0 + 2).\nAnswer: 12455*i**4 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 - 91 = -9*b. What is the lowest common multiple of 50 and b?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*210\/(-14). Is (l + 869 + -5)*(-6)\/(-15) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 1042568*w**6\/5 + 164616*w**5\/5 + 2166*w**4 + 76*w**3 + 3*w**2\/2 + 4*w + 387. Factor c(x).\nAnswer: 3*(38*x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 6, 23, 56, 111?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/((-7)\/(182\/65))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46729 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 23*b**2 - 20*b + 54. Calculate r(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 125. Determine r(6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55419.\nAnswer: 3, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n - 10 = 0. Is (0 - n) + 147\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526.813cm to micrometers.\nAnswer: 5268130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*((-68289)\/(-31518))\/(2\/(-8) + 3\/4)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -11. Suppose 2*a = -g + m, 0 = -4*g + a + 15 + 21. Let w = -5 - -8. Calculate the remainder when g is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -7*u**3\/6 - 9*u**2\/2 - 2*u. Let z be (-2 - -11) + (2 - 6). Let f(w) = -4*w - 5. Calculate z*f(a) - 3*r(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 + -374 + 4 + (6 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m + 3. Let t(x) be the second derivative of -1\/2*x**2 + 6*x + 0*x**3 + 1\/12*x**4 + 0. Let r(n) = n - 6. Let q be r(3). What is q*t(w) - s(w)?\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -61 - (-11 - -4 - (-9 + 2 + (-20 - -27)))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 + 7*a + 15. Let v be r(-3). Which is greater: v or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4059 by 33.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-67990)\/(-156) + 2\/12. Suppose -5*j - p = -298 - 135, 5*j = -2*p + f. Suppose a = 2*a - 30. What is the remainder when j is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -11*f**7\/42 - f**5\/10 + 35*f**3\/6 + 438*f. What is the second derivative of q(k) wrt k?\nAnswer: -220*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7113.345 weeks to milliseconds.\nAnswer: 4302151056000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46aa (base 12) to base 4.\nAnswer: 1323202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/13 + 17040*x**4\/13 + 39594426*x**3\/13 + 13777853164*x**2\/13 + 238429534464*x\/13 + 1058612359104\/13 = 0. What is x?\nAnswer: -4052, -398, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. What is the units digit of 18*(-1 + w\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75688605?\nAnswer: 3, 5, 541, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-4)\/(-8))\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042 * -5.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40537 - -40554.899. Round y to 1 decimal place.\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 611 - f - 207 - 226.\nAnswer: -f + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbobobo. Give prob of picking 2 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3 - 5, 0 = 2*o + 4*x - 8. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 3*d**2 + 6*d - 8. Suppose n - 107 = -103. Calculate i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -85, -56, -9, 62?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 15792856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 736907 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**6*z**17)**(-12) assuming z is positive.\nAnswer: z**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.1594, -4, -253?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/95 equal to 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 5. Let y be v(2). Let b(w) be the first derivative of -4 - 9*w - 572*w**y + 572*w**3 - 5*w + 2*w**5. What is the first derivative of b(r) wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 8. Suppose 2*b - 6 = -4*p, 0*b = 4*b - 2*p - 2. Solve b + w = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:54 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-56)\/22)\/4)\/(-2). Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 5. Calculate s(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 598 = -2*k + 619, -2*k - 14 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -832 divided by 55\nAnswer: -832\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3026 + -1749. Suppose -6*o + 1663 = -r. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29699 equal to 59395\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/936 and -21\/98240.\nAnswer: 11494080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8975227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -436 + 442. Solve 6 = 4*m - r, 2*i = m - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004953498 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/180)\/((-84)\/(-64)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 4*f**2 - 8*f - 12. Let b be v(-5). Suppose -b*w + 8*w - 15 = 0. Solve 6*g = 3*g + w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**3 + 10*j**2 + j - 7. Let q(s) = 19*s**2 - 14 - 4*s - 16*s**3 + 6*s + 9*s**3. Let t(h) = -6*q(h) + 10*v(h). Suppose t(x) = 0. What is x?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/342 and -47\/3078?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -12, 3 in increasing order.\nAnswer: -12, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:21 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 118. Let l be (1 - (-232)\/28) + q\/7. What is the highest common factor of 63 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + 13*g**2 + 2*g - 7. Let k be s(4). Calculate the highest common divisor of 170 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 30*d - 90. Let t(g) = 5*g - 4 + g - 5*g. Calculate t(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -7*q**5\/10 + 7*q**4\/12 + 151*q**3\/6 - 157*q. Find the second derivative of o(a) wrt a.\nAnswer: -84*a + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*o - z + 4*z, 2*o - 2*z = 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-28) + (-202)\/8. Let c = -16 - v. What is the highest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 + 4*m - 9. Give n(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - o + 76 + 40, z - 3*o - 29 = 0. Let d(a) = -9*a + 1. Suppose 0 = -4*c + 1 - 5. What is the remainder when z is divided by d(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 95. Suppose 0 = 2*r - 9*v + 10*v - d, 0 = -4*r + 3*v + 35. Solve 4*t - 2*g + 22 = 0, 3*t = 2*g - 6 - r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/5 + 24*i**3\/5 - 326*i**2\/5 + 1044*i\/5 - 1008\/5 = 0.\nAnswer: -21, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722 - 722 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 5*z = 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-4)\/6 - 2. Let c(o) = -o**3 + 5*o**2 + 2*o - 5. Let p(u) = 4*u**3 - 15*u**2 - 7*u + 15. Let a(z) = -7*c(z) - 2*p(z). Calculate a(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r = -16*r - 72 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15d (base 14) to base 10\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*l, -l + 4 = -3*c - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 87. Let z(o) be the first derivative of -1\/6*o**6 + 2\/3*o**3 - 5\/4*o**4 + 0*o**2 + 4\/5*o**5 - a + 0*o. Factor z(q).\nAnswer: -q**2*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let z(h) = -5*h**2 - 14*h**2 - 5 - 100*h**2 + 3 + 43*h**2. Give i(z(y)).\nAnswer: 152*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 333008*l**3 - 166524*l**3 - 166466*l**3 - 5*l.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpas when four letters picked without replacement from {s: 4, v: 1, k: 1, p: 4, a: 3}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w - 21508 = -5*w. Let h = w - -1764. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(3045\/(-1500)) + (-3 - (-26)\/7)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 + 732136*a + 67002890312 = 0 for a.\nAnswer: -183034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 75. Let v = f - 41.64. What is the closest to v in -5\/4, -1\/3, -3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 v when three letters picked without replacement from vvhhvvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3167 + -1.6867. What is the fourth biggest value in 1\/4, 0, u, 2\/5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-21) - 0)\/(-2). Let f = 78231\/13 + -6033. Let k = -2996\/195 - f. Sort k, z, -0.1 in decreasing order.\nAnswer: -0.1, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5)*(-26)\/(-156)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1110 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/13)\/(p*p**(1\/3)*p))**(-9)*(p**(2\/3))**0\/(p**1)**(2\/61) assuming p is positive.\nAnswer: p**(15529\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181020083\/7 or 25860013?\nAnswer: 181020083\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9180, -3, -1852 in decreasing order.\nAnswer: 9180, -3, -1852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 15. Let z be y(-18). Which is the third smallest value? (a) 0.12 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*c - 5*i, -4*c = 6*i - 11*i - 15. Solve -9*q + c = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtwlwwltt. What is prob of sequence wttl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 63022123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -8*g - 3. Let l(d) = d**2 + d + 6. Let y be l(g). Suppose 2*t + 4*r - 26 = 22, 2*t = -r + y. What is the greatest common divisor of t and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let y = 3 + 0. Let f be 2\/y - (-14)\/(-3). Let x(i) = -i + 6. Let r(q) = f*h(q) - x(q). What is the first derivative of r(v) wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -362.397, -1\/6 in ascending order.\nAnswer: -362.397, -1\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*q - 129 = 0, -695 = -8*x + 3*x - 5*q. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 z when four letters picked without replacement from {q: 3, z: 11}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + -11 - -17)*3\/21. Put -0.09, g, -0.2, 60 in descending order.\nAnswer: 60, -0.09, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 10*s + 9. Let m = 3.488 + -5.488. Which is the second smallest value? (a) -13 (b) s (c) m (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*a + 202*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 11) to base 5.\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779575 divided by 5?\nAnswer: 555915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32927 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: Calculate (3 - 10) + 2 + 1 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*1)\/sqrt(2) + 3 + (sqrt(200) - (sqrt(200) + 3)) + sqrt(200))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14731.26 millimeters in meters?\nAnswer: 14.73126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200891 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 52*w**3 - 3*w**2 + 2. Let s be p(2). Suppose s = 4*b + 46. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -3)*(-15)\/(-20). Let c be ((-96)\/(-18))\/((-2)\/n). Solve -3*b = -5*b + c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-140) - (36\/14)\/(-9)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -495*c + 484*c - 88 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 105 = -4*x, -5*x + 5*w + 105 = -20. Suppose 0 = -0*h - 2*h + x. Is 12 a factor of ((-28)\/(-8))\/(1\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:47 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.161193078 + -0.1612. What is r rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.51348 rounded to 2 decimal places?\nAnswer: 15.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -38, 2, 57, 0.2?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -305*a + 6*a**4 + 305*a + (-1 - a**3 + 1)*(-1 + 1 - a) + 6*a**4 - 2*a + 2*a + 0*a + 0*a - 2*a**4 to q + s*a**4 + n*a**3 + t*a + d*a**2 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893 (base 13) in base 16?\nAnswer: e55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 10*a - 6. Suppose 5*p + d = -1, p + 15 = -2*p + a*d. Which is smaller: p or 1\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7991 and -804816.\nAnswer: -796825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 453044 = 453043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let q(y) = -y**3 + y + 1. Let c(k) = k**3 - k - 3. Let s(m) = u*c(m) - 3*q(m). Suppose s(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2636\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 27 = -4*q, 5*t + 4 + 11 = 0. What is the remainder when 98\/(-21) + 5 + (-83)\/q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-8)\/(-160)*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2342 and 94?\nAnswer: 110074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/2678045 + -270484309\/4724071380. Calculate the common denominator of k and -95\/24.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 3:57 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 0*h**4 + 27 + 2*h**4 - 28 + (-6*h + 4*h + 3*h)*(12*h**4 - h**4 + 4*h**4) + (2*h**3 + 4 - 4)*(3 - h**2 - 3).\nAnswer: 15*h**5 + 2*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*s**4 - 92896*s**3\/3 + 17401826*s**2\/9 - 66030440*s\/9 + 16302050\/3 = 0. Calculate s.\nAnswer: 1, 3, 2855\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -38*t + 23*t + 17*t + 2. What are the prime factors of m(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 850 + 179?\nAnswer: a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 12*v + 3. Let b be r(6). Let z(j) = b*j**2 - 4*j**2 + 4*j**2. Let q(t) = 42*t. Calculate q(z(c)).\nAnswer: 126*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j + 421. Determine g(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2 and -29\/158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-47)\/(g*g\/g**(-1\/52)))**6)**(-12\/5) assuming g is positive.\nAnswer: g**(45882\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/11 + 30*g**3\/11 + 146*g**2\/11 + 258*g\/11 + 140\/11 = 0.\nAnswer: -7, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 24 = t. Suppose 4*i + 5*w - 265 = 581, -i = 3*w - 215. Suppose 4*v - i = 351. What is the remainder when v is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616724837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 425414?\nAnswer: 425413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -410 + 121. What is the common denominator of -95\/12 and r\/(-45) - ((-42)\/45)\/7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bc0 (base 15) in base 6?\nAnswer: 20143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1989*m**2 + 19767*m**3 - 9697*m**3 - 9839*m**3 - 1989*m**2.\nAnswer: 231*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79805 is divided by 39779.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 52968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = 0, 3*r - 4436 = 5*o - 18359. Let g be o\/9 + 4\/(-6). Suppose 2*w - 210 = 2*v, 0*v + g = 3*w - v. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.334 + -0.41. Let b = -0.0858 - v. What is b rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*t**2 + 3\/7*t - 2\/7.\nAnswer: -(t - 2)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2 + -1 + 3. Suppose -3*h = -n - 10, -10 = -3*n - 3*h + s*h. Suppose 0 = -4*q + n*q - 18. 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 d = -1101871.9296 + -4497358121.0704. Let i = -4498460112.00000122 - d. Let r = i + 119. What is r rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -16100 (c) 36 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0, -4, 246 in decreasing order.\nAnswer: 246, 17, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 60 = 0, -4*k - 3*d - 22 + 55 = -k - 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(140))\/sqrt(7) + -1*2*sqrt(500) - ((sqrt(320)*3)\/sqrt(4) + -4 + 5).\nAnswer: -36*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4\/5 - 7325324*t**3\/5 + 51277132*t**2\/5 - 109879476*t\/5 + 65927664\/5 = 0. What is t?\nAnswer: 1, 3, 1831324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 11 - 20 + 6 + 5 + l - 19*l**3 as v*l**2 + n*l + d*l**3 + i and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1157*d - 1962*d + 1019*d as b*d + c and give b.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.86 and 2.9658785.\nAnswer: 2.1058785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*f - 4 = 0, 5*i + 10*f - 14*f = 21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0375 + -0.0625. Let w(d) = -6*d - 2. Let n(t) = -5*t - 1. Let o(q) = -5*n(q) + 4*w(q). Let c be o(6). What is the nearest to g in -2\/5, c, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2061 and 19591179.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 6514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 341215593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-21))\/(1\/(18*(-3)\/9)). Sort a, 1\/5, 1\/4, -33, 0.1.\nAnswer: -33, 0.1, 1\/5, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -143*l. Let m(g) be the first derivative of -27*g**2\/2 + 2989. Give t(m(c)).\nAnswer: 3861*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**6\/10 + 553*o**5\/10 + 2093*o**3\/3 - o**2\/2 + 3580*o - 2. Find the second derivative of k(s) wrt s.\nAnswer: 36*s**2 + 6636*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = -5*t, -3*t + 2*a + 14 = -0. Solve -11 = t*b + c + 2*c, 3*b + c + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w**3 - 2*w**2. Let i(l) = 24*l**3 - 7*l**2 + 1. Determine 2*i(a) - 7*u(a).\nAnswer: -8*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 164 + -1064122?\nAnswer: -1063958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 - a + 1. Let f = -21 + 17. Let u(b) = -5*b**3 + 2*b**2 + 4*b - 4. Give f*y(o) - u(o).\nAnswer: o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 10. Let y be v(7). Let g(z) = -z**3 + 10*z**2 + 10*z - 7. Let n be g(y). Let m be n\/(-22) - 2\/(-11). Solve k - 4 = m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 - 269*g**2 - 720 + 260*g**2 + 716 in the form d*g**4 + x + q*g + h*g**3 + w*g**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 51*r + 807. Calculate g(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 5, -15, 27 in ascending order.\nAnswer: -15, -5, -4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:59 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8820 is divided by 834.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**3 - 6*f**2 + 9*f - 1. Is a(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 1331244?\nAnswer: -1331223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.1 (c) 1 (d) 0.0169\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159*f + 117 - 197 + 83)*(-2*f + 2*f - 2*f).\nAnswer: 318*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21)\/((-1)\/((-660)\/(-9) + -1))?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71733 + d**5 + 71733 + 9*d**4 - 21*d**4.\nAnswer: d**4*(d - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c + 2*c**2)*(-c**2 + 3*c**2 - c**2) - c**4 + 0*c**2 + 0*c**2 - 9*c**4 + 4*c**4 + 1 - 7*c**4 as t*c**2 + a*c**3 + h + n*c + k*c**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -34. Calculate the remainder when 6\/(240\/(-123) + 2) is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12371787061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 104 = -3667*j + 3663*j, -j + 152 = -7*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*c**6 + c**4 - 18545*c**3 + 999*c**2 - 620.\nAnswer: 17280*c**3 + 24*c - 111270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25378\/3 - 8459. Which is the third smallest value? (a) 2\/17 (b) -173 (c) 0.3 (d) -0.2 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 88 = w + 36, -4 = w. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.74732 - -5.666. Round j to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10856453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -7. Suppose 49 - r = 7*o. Is o > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1287297 divided by -429099\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 - -2.77. Let f = 0 - -4. Put j, -2, f in descending order.\nAnswer: f, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, 1 k, and 1 p when four letters picked without replacement from rprrrkmrqrqkmeqqrreq?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 10*t**2 - 8*t + 3. What are the prime factors of a(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 56) + 1413\/81?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 8. Let f be c(7). List the prime factors of (0 - f)\/((-8)\/(-296)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3 + 3)*(-3*m + 0*m + 7*m)*(-24*m**3 - 21*m**3 + 44*m**3 + 5) + (2*m**2 - 5*m**2 + 2*m**2)*(m**3 + 0*m**3 - 2*m**3).\nAnswer: -3*m**5 + 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/((-8)\/(-6)). Let s be (9 - 10)\/((-3)\/(-123)). Let x = s + 42. What is the nearest to 2\/3 in x, -4, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-360)\/(-210))\/((-10)\/(-32655)) is divided by 797?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 2 - 3*n + 0 + (-1 + 4 - 2)*(0*n + n + 3*n) + (1 - 2 + 3)*(7*n + 2*n - 2*n))*(-4 + 4 + 6*n) to the form o*n + a*n**2 + k and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1777 - 453304?\nAnswer: -451305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:41 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -14*j**2 + 28*j**2 - 38 + 21 + 20*j + 29 + j**3. Calculate i(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0731 times 22\nAnswer: 1.6082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45940626 to the power of 1\/2, to the nearest integer?\nAnswer: 6778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8555 - 1707. Does 32 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477631865.\nAnswer: 5, 95526373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 5 - 41. Suppose -h*p - 11*c + 420 = -15*c, -4*p - 4*c + 404 = 0. Calculate the remainder when p is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344900797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 394, -4279, -14014, -28811, -48670, -73591?\n\"Answer: -2531*a**2 + 2920*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -139?\nAnswer: -35\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(((-11492)\/102)\/(-169))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19455 + -19454.7. Which is the fourth smallest value? (a) -7 (b) u (c) -1 (d) 6\/17 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 2822.\nAnswer: 33\/2822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Is (c\/6)\/(1\/(-771)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6630934 a multiple of 1249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1375*g**4 - g**3 + 1340*g + 43010991 wrt g.\nAnswer: -5500*g**3 - 3*g**2 + 1340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -443*j - 4431. What is a(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*h + 601*h + 2 - 2.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n + 4*k - 238, 3*n - k - 136 = 0. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70956 and 108405?\nAnswer: 3902580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/24 + 44*5\/(-120). Let w(q) = -10*q**2 + 4*q - 16. Let t(h) = -2*h**2 + h - 3. Give u*w(m) + 11*t(m).\nAnswer: -2*m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/7)\/(-6) + (43025\/(-35))\/(-5) is divided by 121.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10887450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*h + 6. Let k(f) = -5*f**3 + f**2 + f. Let s be k(-1). Suppose -s*m = -h - 5. Solve -2*z - 10 = -m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**4\/12 - 122*a**2. Let k(x) = 407*x. What is w(k(b))?\nAnswer: -814*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 4368.3.\nAnswer: -4368.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28502, 56990, 85470, 113936, 142382, 170802, 199190, 227540?\nAnswer: 255846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4 = -f, -f = -3*f + 3*d + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30345747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22269.\nAnswer: 3, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -3663.53412727.\nAnswer: -3663.93412727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m - 27. Let n = -35 - -40. Let b(z) = -7*z - 18. What is n*r(u) - 8*b(u)?\nAnswer: u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g - 351 - 89 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 divided by 24?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324497443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from wwbwbbwbwww.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3229, 3229, 3237, 3259, 3301, 3369, 3469?\nAnswer: 3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*(-10)\/(-105)*(72\/10)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/13 - 1140*x**4\/13 + 6794*x**3\/13 - 14688*x**2\/13 + 13544*x\/13 - 4512\/13 = 0.\nAnswer: 1, 2, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 2*f - 3*y + 129, -2*f - 241 = 3*y. Let q = 443 + f. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8979.98cm to nanometers.\nAnswer: 89799800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/297)\/(397\/(-4367))?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3 - -34) + (20 - 28). Solve -155 = a*n + 88 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*f**3 - 4\/9*f**2 + 2\/9*f + 4\/9 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 j when four letters picked without replacement from jqqqqqqqqqqqjqqjqq.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let s(y) = -4*y - 10. Let l(k) = k + 3. Let v(w) = -10*l(w) - 3*s(w). Calculate n(v(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 - 3*n**3 + 23*n - 17*n - 1 to w*n + z*n**3 + s + i*n**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9939715, 19879447, 29819179?\n\"Answer: 9939732*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122947 = 5*c - 39058. Let u = c - 50401. What is u rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-2)*168\/210. Is ((-5905)\/(-15))\/(11\/v + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 + 8*j + 12. Let c be x(-6). Solve 2*g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4)*(198*k**2 - 172 - 396*k**2 + 197*k**2) in the form g*k**2 + s + y*k and give s.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -49849?\nAnswer: -49849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + -2*sqrt(132))*2 - sqrt(132))\/sqrt(432).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2 - 4964*d + 23784288 = 0.\nAnswer: -4906, 2424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 28. Let t = 8 + k. Which is the closest to -1\/3? (a) -1 (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(108) - -4*sqrt(108)) + 2 - (sqrt(108) + 5)*5)**2 + 2.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/70*14*15)\/((-8)\/(-2)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(342)*3)\/(sqrt(6) + 5*(sqrt(12)\/sqrt(2) - sqrt(6)) + sqrt(6)))\/((sqrt(6)*-2*-5)\/((sqrt(28)\/sqrt(2))\/sqrt(7))).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.32 and 0.04.\nAnswer: 0.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/25)\/a**(29\/5))\/(a**(3\/14)\/(a*a**(-1\/31))))**(-2\/11) assuming a is positive.\nAnswer: a**(55189\/59675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) -0.4 (c) 4 (d) -3.92 (e) 0 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 35. Suppose 5*b - 4*p - 21 = 59, -125 = -5*b - 5*p. What is o(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 1019 = 5*v. Let b = v - -146. Let q = -190\/3 - b. What is the second smallest value in -2, -4, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**3 - 3*c**2 + 6*c - 2. Let f be z(-6). Is (-4)\/6 - f\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -621388?\nAnswer: 621389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132*d**4 - 155?\nAnswer: 528*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -196*l + 72. Let m be c(-3). Let d be (-8)\/10*m\/(-176). Solve 0 = -8*s + d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f + 26. Let j(n) = -2*n - 26. Let k(w) = -4*b(w) - 6*j(w). Let u be k(12). Solve u*z - 28 = -2*a, 5*z - 1 = 3*a + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539269062 and 118398.\nAnswer: 16914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -3*sqrt(104))*-4 + 4*(sqrt(104)*2 - sqrt(104)))\/((sqrt(96) + 2*sqrt(96)*1)\/(sqrt(24)\/sqrt(2)*-3)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -21 + -1 + 10 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a8e + 12?\nAnswer: -9a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2720, 1\/12, 0 in ascending order.\nAnswer: 0, 1\/12, 2\/3, 2720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + 2*f)*(1 - 4 - 24 + 3*f).\nAnswer: 6*f**2 - 51*f - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 11*h - 9. Let u be s(9). Let g = u + 12. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 2*s - 1. Suppose 3*i - 472 = -466. What is x(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*((-4)\/48)\/((-815)\/(-4401))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1705, -2823, -3941, -5059?\n\"Answer: -1118*o - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 8*w + 16*w)*(0 - 1 - 1 + (-1 - 1 + 1)*(2 - 2 - 1) + 2 - 5 + 5).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/w*w**(-15\/2)*(w*w*w**(-1\/2)\/w*w)**(-1) assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 587160 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/9)\/y*y*y\/y**2*y**(-3)*y**2 assuming y is positive.\nAnswer: y**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, -0.03, 0.017, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0 + 1\/100*n**5 - 4*n - 1\/60*n**4 + 1\/10*n**2 - 1\/30*n**3. Solve h(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 4. Let w(j) = -j + 3. Let r(p) = -3*i(p) + 2*w(p). Let z(f) = 13*f - 88. Let b be z(7). Let o be r(b). Solve 2*k = 5*k - o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 4. Let v be n(-9). Suppose -5 = g + v*x, 4*g + 3 = 4*x + 7. Let o be (2\/(-6))\/((-1)\/2). Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(3\/11))\/b**(10\/11))\/(b\/(b*b\/b**(-10))*b*b\/(b\/(b**(1\/9)*b))) assuming b is positive.\nAnswer: b**(862\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2240 (base 6) to base 4.\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 24. Suppose 5*n = -k, -4*n + 10 = 3*c - c. Suppose 5*t - 180 = -3*m, -c*t - 2*m = -3*t - 144. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-152)\/24)\/19*-16350.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + 3 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-4 - 0) - ((6 - 4) + 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1227 - 0.1227. What is the nearest to 3\/5 in -0.5, w, 3\/8, 59?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14) - (232\/224*-2)\/3\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4741, -4651, -4563, -4477, -4393, -4311?\nAnswer: -4231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 9)*(-8)\/(-20). Suppose -4*v + 3 = 3*z + 17, 2*v = z - t. Let k(h) = 2*h**3 + 3*h**2 - 3*h - 7. Let u be k(v). Put -2, -1, u in descending order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*x + 52385 = -69445. What is the least common multiple of x and 4?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:30 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*w = -38 - 136 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 133 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/60 + 3*j**4\/8 - 2*j**3\/3 - 2*j**2. What are the prime factors of w(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/14)\/((-82)\/614467). Is b - -1 - 8\/(-1 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*n + 8064 - 2520. Solve -23*f = -n*f - 7 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 - 7 - (17 + -24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5016, -6387, -7758?\n\"Answer: -1371*l - 3645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:33 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let m(f) = -f**2 - 6*f + 42. Let t be m(-10). Suppose t*j = -3*c - 1, 0 = 3*j - 2*j + c. Let v(k) = 2*k**2 - 5*k - 1. What is j*v(z) - 3*r(z)?\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -424700 by -5.\nAnswer: 84940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*l + 34*l - 3*g - 569, -5*l + 551 = 3*g. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -362588 + 529231. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 168*g - 75*g - 148*g + 133*g + 0.\nAnswer: -258*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 63. Let a be v(-21). Suppose -4*k + 888 = 4*h - 448, a = k - 4. List the prime factors of h.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*w - 186, 4463*w - 4460*w + 4*a + 241 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpbbeedbehhhebddbe. Give prob of sequence db.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6085208*k**2 + 6257306.\nAnswer: 12170416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -49, -45, -39, -31, -21?\n\"Answer: h**2 - h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 80871, -1.3 in descending order.\nAnswer: 80871, 5, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**4\/2 - 2*l**3 - 4*l**2 + 3*l + 1. Let t be u(6). What are the prime factors of ((-2)\/(-6))\/(1\/t)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Suppose -p*u + 3*q + 2*q = 12, -2*u - 4 = -2*q. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 62*h**2 - 221*h - 29. What is the least common multiple of 3 and n(-28)?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(sqrt(432)*2 + sqrt(432) + -3*sqrt(48))*-2)**2.\nAnswer: 248832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 10*l**2 - 2*l - 17. Let y be o(-8). Let k = -124 + y. What is the remainder when 16 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 93 = 21*z - 16*z, -w + 3*z - 48 = 0. List the prime factors of ((-140)\/15 + 6)\/(1\/w).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 + -116. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 44 + 28. Suppose 6 = 4*h - x. What is the tens digit of ((-3)\/h)\/(3\/(-66))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9833035000 rounded to the nearest 1000000?\nAnswer: 9833000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.5, 1\/12, -1\/10.\nAnswer: -1\/10, 1\/12, 25.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21915, -21941, -21967?\n\"Answer: -26*v - 21889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 38*n**4 - 82*n**3 - 5*n - 32. What is the second derivative of k(m) wrt m?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d - 5*y - 18 = 68*d, 3*d - 12 = 4*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584855319 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*o + 3*j, -13 - 4 = -o - 4*j. Suppose 0 = -2*b + o + 23. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 6:46 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deccdcddcccddddceddd. What is prob of sequence de?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = -3*p + 16, 3*a = -3*p + 12. Suppose v - p = m, 0 = -6*v + v - 3*m + 17. Solve -15 = 5*o, -2*c - 3*c = -v*o + 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 20.999969. Round t to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4897724 times -1.1?\nAnswer: 5387496.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (66 - 20)) + -97 + -12\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3778 + 3822. Let i(g) = g**2 + g + 46. Let c be i(0). Suppose -n*h + c*h = 0. Solve 3*y = 5*z, 5*y = -h*y - 4*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23143559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.5 + -0.4?\nAnswer: 861.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 7*l + 0*l)*(1 - 6 + 2).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 85*(-2 + -2 + 3). Let f(l) = 155*l**2. Suppose -2*q + 5*n = 2*n - 12, q + 3*n = 6. Let m(p) = 11*p**2. Let s(y) = q*f(y) + v*m(y). Calculate s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586 - 9 = 138*r + 371 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Let v(y) = y**2 + x + 7*y**2 + 3*y**3 - 1 - 2*y**3. Let g be v(-8). Let n(u) = 8*u**2 - 2*u - 1. What is n(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 23*z - 72. Let f(m) = -m**2 + 15*m + 42. Let n be f(16). Let w be i(n). Solve 5*d = -w - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 22. Let k(j) = 4*j - 21. Let v(a) = 2*k(a) + 3*o(a). What are the prime factors of v(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -2\/9 (c) -4 (d) 4 (e) -22\/35 (f) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/56 - (-8 - 159\/(-21))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112146 (base 10) to base 8.\nAnswer: 333022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/(-28))\/(5 + 205\/(-35)). Factor -o*w + 3\/4 - 3*w**2.\nAnswer: -3*(w + 1)*(4*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 280 = -47*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394800?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -85791 (base 11) in base 15?\nAnswer: -26e55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 2*v + 3. Let k be c(-3). Suppose 336 = k*o - 3*o. What is the highest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 3*r + 6. Let c(v) = 3*v**2 - 9*v + 18. Let g(i) = -2*c(i) + 7*z(i). Is g(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuuuuuuk. Give prob of picking 2 u and 1 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 3:59 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107 + 208 - 101 + 22*w**2 to u + h*w + f*w**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y + 5. Let w be b(-3). Let i = w - 23. Suppose -g - 1 = -3*g - j, i*j = 4*g - 27. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/91 - -1\/364. What is the biggest value in 4, s, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2\/207, 1\/9?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 11.9. Put 4, h, -4 in ascending order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79465\/82908 - -53\/1692. Calculate the common denominator of 17\/98 and u.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 710800851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/36)\/((-1)\/1389) - 1. What is the greatest common divisor of l and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77215262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(28\/(-354))*-77*(-94)\/32571?\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + 1271 + 403. Let w = c + 1115\/6. Put -0.1, -1, 1\/7, w in ascending order.\nAnswer: -1, w, -0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -744 and -0.07691.\nAnswer: 57.22104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00967522 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 11*l**3 + 21*l**3 - 3*l**3.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1964, 3080, 11488, 23260, 38396, 56896, 78760?\nAnswer: 103988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2122*b**3 - b**2 - 14*b + 13. What is the hundreds digit of l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**5\/60 + c**4\/8 + 5*c**3\/6 + 93*c**2\/2 + 113. Let x(u) be the second derivative of m(u). What is x(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1510, 263, -1 in descending order.\nAnswer: 1510, 263, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 - 2*t + 3. Let u(q) = q**4 - q**3 + 18*q**2 - 8*q + 21. Let s(h) = 14*b(h) - 2*u(h). Let s(a) = 0. Calculate a.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 36*x + 6 + 7 - 8 in the form l + a*x and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(931)*-2 - ((sqrt(931)*-2)**2 + 2 - ((sqrt(931) + -1)**2 - sqrt(931) - sqrt(931))*5)) + 0.\nAnswer: -154*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 336, 365, 394, 423?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9*p - 6. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**4 + 1 - 2 + 6 - i**4 with respect to i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 459377 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 8\/11*o + 2\/11*o**2 + 8\/11 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**6 - 32*r**4 - 8*r**2 + 15*r wrt r?\nAnswer: 480*r**3 - 768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (-46 - -63) + -11.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 - 680 - 104 - 26*s**2.\nAnswer: -s**2 - 784","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 120. Which is the fourth biggest value? (a) s (b) -4\/3 (c) 0.03 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*t - 16 = 0, w - 2*t - 8 = -2. Suppose 0 = -15*d + w*d + 5. Suppose 3*p = 4*j - 2*j + 92, -j - d = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.84 rounded to zero decimal places?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2336, 2329, 2322, 2315?\n\"Answer: -7*k + 2343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1296*s**3 - 1610*s**2 + 751*s + 1435 wrt s.\nAnswer: 7776*s - 3220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 5. Let s be h(7). Let k(x) = -x**3 - 5*x**2 - 3*x - 7. Let m be k(-5). Let w be 2\/m*2*20. Solve 3*q + 4*j - w = 0, -3*j - 1 = -4*q + s*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5, 1, -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3\/4 (b) -2.2451 (c) 2 (d) -1 (e) 5\/3 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 500912 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18027491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -712*z + 2140*z - 711*z - 717*z + 26*z**2. Let c(l) be the second derivative of -l**3\/6 + 3*l. Give u(c(q)).\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4*(-2)\/(-6). Let n(z) = z**2 + 16*z + 4. Let b be n(-16). Suppose 2*t = -3*v - 2, -t = v + b*v + 8. What is the second smallest value in -3, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(7 + -12))\/2. Solve -8 = -4*r - 2*v, -r - 5*v + 20 = -i*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 39 = 5*r. Let w be (-1)\/(r\/9*-3). Suppose 3*b + 2 = -w, 5*c - 3*b - 23 = 0. Solve -v = -4, 3*i + 27 = -v + c*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*s + 245*s - 187*s + 319*s.\nAnswer: 546*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3378 + 44)*(-4 - (-1 - 2))?\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = -0*o. Let w = 168 + -168. Let v = -149.9 + 150. What is the nearest to w in v, o, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1\/2 (c) 1394953\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2600 and 25200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4381.2 + -4381. Which is the fourth biggest value? (a) 4 (b) -11 (c) 5\/3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (16 + -9 - (12 + -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-1)\/((-54)\/4623). Let m = -171 - f. Let 0*i - 2\/9*i**3 - m*i**4 + 0 + 0*i**2 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 725809039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.650612ug to tonnes.\nAnswer: 0.000000000007650612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5 - 128*n**4 - 1152*n**3 - 3996*n**2 - 5886*n - 2916 = 0. What is n?\nAnswer: -54, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zza when three letters picked without replacement from czzaaazc.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -62, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/40 + 5*u. Let r(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6776 is divided by 154.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/128 and 61\/32?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1491334\nAnswer: -1491334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-1))\/(61\/7686*-42).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let j = 30 - 30. Let a be j + 3 - (-4)\/r. Is -1\/7 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 911, 4004, 9269, 16700, 26291, 38036, 51929, 67964?\n\"Answer: -f**3 + 1092*f**2 - 176*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1716 + -1718. Sort 2, -6, i, 5 in increasing order.\nAnswer: -6, i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(363) + 1 + sqrt(363) + -5).\nAnswer: -8 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24524.9893665 - -24525. Round u to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 5*b**2 + 46*b + 156. Give r(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55445 - 124201?\nAnswer: -224050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2515868 divided by 3.\nAnswer: -2515868\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = -5*a - 63, a + 9 = g. Suppose 0 = -0*c + 3*c + 5*v + 15, -2*c + 3*v - 29 = 0. What is the units digit of (a\/15)\/(1\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397125, 794621, 1192117, 1589613, 1987109?\nAnswer: 2384605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*x**4 - 472*x**4 - 15*x**2 + 531*x - 541*x wrt x.\nAnswer: -8640*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 200854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 15*u**2 + 147*u + 157. Let z be f(22). Solve -z*x - 7*c + 18 + 18 = 0, -c = x - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1616*y + 3112 - 3112.\nAnswer: 1616*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) 3 (c) 0.9 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 39 + -51 + -71 + 151.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 67, -2, 0, 2 in increasing order.\nAnswer: -2, 0, 2, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c - 2. Let j(s) = -3*s**2 - 8*s - 6. Let x(z) = -j(z) + 5*t(z). Let k be x(1). Which is smaller: -38 or k?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3331?\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.10991005 rounded to 4 decimal places?\nAnswer: -4.1099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {f: 2, c: 1, q: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74975559 is divided by 37487778.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or -3\/905?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 2*s. Let x be v(-1). Does 9 divide 6\/3 - 16*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {f: 9, p: 7}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:54 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 138*g**2 - 2*g - 3. What is the hundreds digit of o(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -107, -4, 3, 9 in decreasing order.\nAnswer: 9, 5, 3, -4, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 12 = 4*a, 4*a - 45*p - 41*p = -85*p + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 534095849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -838049*-43.\nAnswer: 36036107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*i + 95*i + 1224. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8726 and 8726?\nAnswer: 8726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25935816 is divided by 6483914?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1466, -1506, -1580, -1706, -1902, -2186, -2576, -3090?\n\"Answer: -3*x**3 + x**2 - 22*x - 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45459 - -79880. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10042113 + -200?\nAnswer: -10042313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-1 + sqrt(1872) - sqrt(117)\/(sqrt(18)\/sqrt(2))).\nAnswer: -9 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 10. Suppose 0 = 2*c - 2*p - 14, -7 = c + l*p + 6. Let -m**2 + 0*m**2 + c*m**2 + 2*m**2 - 12*m = 0. What is m?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 590*a**3 - 5*a**2 - 7*a + 5. Let u(m) = -m - 1. Let f(g) = l(g) - 2*u(g). Is f(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1222827 rounded to the nearest 1000?\nAnswer: -1223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1665)\/10*45696\/(-51408)\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**6)\/g)*g*g**(-3\/2))\/(g*g\/g**(1\/4))**13)\/((g\/(g*(g*g**4)\/g*g))\/g**(5\/2)*(g*g**0*g*g)\/(g**(-1\/5)*g)) assuming g is positive.\nAnswer: g**(-459\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:35 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 - -1.4307493365.\nAnswer: 3.0307493365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 339, 8.\nAnswer: 7, 8, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-750)\/(-30)*(-1)\/(-5))\/(99\/(-36)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 0*n**3 + 0*n**3 + (-n - n + 4*n)*(-n**2 + n**2 + 5*n**2).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96901287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 16*n**2. Let i(l) = -4*l**2. Let o be (-6)\/3 - (-3 + 1 + 2). Calculate o*u(b) - 9*i(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/40 and -111\/580.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 163*i - 110*i + 689 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-10)\/c*c*(c\/c**11)\/c assuming c is positive.\nAnswer: c**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y + 2. Let u be h(-2). Let p = 17 + 15. Let d = p - 31.7. Which is the closest to 0? (a) u (b) d (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9815 >= -9823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4179071\/110 + 37992. Calculate the common denominator of b and (255\/110 - 0) + -2 + -2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - (-392)\/(-40) - 18\/(-10). Suppose -f + 5 = -27*v + 22*v, a*f - v = 10. Solve -f*y + 20 = -9*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/10)*s**(-8))\/((s*s\/(s\/(s\/(((s*s*s**(-32))\/s)\/s))))\/((s\/(s\/s**(-29)))\/s)))**(-36) assuming s is positive.\nAnswer: s**(12906\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2004 or -0.018?\nAnswer: 0.2004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 742 - 755. What is the nearest to 0 in 0.3, u, 1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (845\/(-338))\/(10\/168*2*(-6)\/(-4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:12 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 124304207 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioyp when four letters picked without replacement from pppoipdippppipippyox?\nAnswer: 11\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1242.7 + 1186. Let n = h + 57. Which is the second biggest value? (a) 0 (b) 0.2 (c) n (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/21)\/(3\/((-135)\/(-12))). Sort n, 3, -0.4, -3\/4 in decreasing order.\nAnswer: n, 3, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:01 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 95, -1\/5, -1\/12, -2, 4 in descending order.\nAnswer: 95, 4, -1\/12, -1\/5, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 7)*3*(-3)\/(-9). Solve -x*k + 4*a - 3 = 7, 2*k - 5*a = -14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -130561, -130560, -130557, -130552?\n\"Answer: b**2 - 2*b - 130560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -564795462 divided by 1078.\nAnswer: -523929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1404 and -77\/26052.\nAnswer: 234468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06612559702 to 6 decimal places.\nAnswer: 0.066126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 0 - 6\/13*n**5 - 20\/13*n**4 + 46\/13*n**3 - 20\/13*n**2 = 0.\nAnswer: -5, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 611674, 1223365, 1835058, 2446753, 3058450?\n\"Answer: v**2 + 611688*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -854*s + 900 = -849*s. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65949*g + 35121 with respect to g.\nAnswer: -65949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 10.2. Let i = -10 - u. Let h = -3.95 + -0.05. What is the closest to i in 2\/5, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5 - 0, 5*n - 5 = 3*q. Suppose 3*v + 20 - 2 = q. Let u(j) = 2*j + 9. What is u(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 8 + (1 - 1). Let j = c - -1. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*b + 3 = -5, 0 = 4*w + 3*b - 9. Find the third derivative of -u**2 + 4*u**2 + 4*u**6 + 10*u**2 - 8*u**w wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-24 - -6 - -31).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 + l**3 - 12*l - 2*l**3 to m*l**2 + p*l + x*l**3 + n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 24*x. Let i(t) = 4*t**2 - 33. What is i(k(u))?\nAnswer: 2304*u**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 15 = 2*l. Find the first derivative of b**2 + 2*b**2 - 2*b**2 + l - 3 wrt b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*a - 5*a. Suppose a = -4*u - 5*o - 1, 5*o + 1 = -2*u + 2*o. Solve j = 2*j + u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Let l = z + -9. Let g = l - -3.8. What is the nearest to -1 in -5, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 6.238?\nAnswer: 10.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:04 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06808 + -0.93192. Is g != 6.449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 19*i + 6. Let j be c(-10). Let d = 145 - j. Let y = d + -9. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 10*m + 14. Let t be u(-10). Suppose 50 + t = -4*g. Is (-4)\/g - 501\/(-12) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0\/(x\/(x\/x**(2\/5))) assuming x is positive.\nAnswer: x**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 363593677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:02 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:57 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*sqrt(539) - sqrt(539) - (sqrt(275)*2 + sqrt(11))*-2)**2.\nAnswer: -430*sqrt(11) + 20364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = -8*m. Let g(o) = m + 2*o + 4*o - o - 3*o. Let i(k) = -k**2 - k - 1. Let d(p) = g(p) + 2*i(p). Let y(b) = -3*b. Calculate y(d(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1002280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68.2998953 + 68.3. Round x to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 150 - 170. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099930?\nAnswer: 2, 3, 5, 191, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q + 2*q**4 + 12*q - 2*q**3 - 441*q**2 + 441*q**2 in the form k*q**2 + l + n*q + r*q**3 + i*q**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + v**4 - 2*v**4 + (0*v**3 + 2*v**3 + 0*v**3)*(-3536 + 3536 + 74*v).\nAnswer: 146*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = -8. Suppose 0 = -6*n + r*n + 20. Sort 4, n, -4 in increasing order.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6987077 days?\nAnswer: 60368.34528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3519 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650 divided by -3?\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Let x(g) = g**3 + 5*g**2 + 3*g - 4. Let p be 10\/3*(-30)\/25. Let m be x(p). Put m, q, -1 in decreasing order.\nAnswer: q, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9125*s - 36409. Determine y(4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 20*a - 2 + a**3 - 2*a**2 - 15*a - 2*a**2 + a**2. Let d be k(3). Solve 3*j = 2*j - 4, -d = 5*c + 2*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpd when three letters picked without replacement from {w: 8, q: 5, d: 3, p: 2, m: 1}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*d - 50 = 5*d, 3*v + 30 = 2*d. Let k(q) = -q - 12. Let z be k(v). Is -2*(-2 + 85\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/215?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.8 - -18.3. Let r = 1.4 - -0.6. What is the third smallest value in r, v, -4, -2.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 10*r**2 - 8*r - 12. Determine t(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1478493a + -2?\nAnswer: -1478493c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45584 and 26917352?\nAnswer: 53834704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-3)))\/(q**(-6\/5)\/q*q*q))\/(q\/(q**(1\/2)\/q)*(q**(3\/7)*q)\/q) assuming q is positive.\nAnswer: q**(-331\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14549085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 18*k - 1. Let h be z(1). Let x = h - 5. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87681 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 3. Let f = 213 - 217. Calculate x(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 15, 38, 65, 96, 131, 170?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -44*f - 31. Let x(v) = -91*v - 62. Let a(l) = -13*q(l) + 6*x(l). What is the hundreds digit of a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 15. Let h(q) = 5*q**3 + q**2 - q - 1. Let s be h(-1). Let z = w + s. Calculate the remainder when 7 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2579357, 5158717, 7738079, 10317443, 12896809, 15476177, 18055547?\nAnswer: 20634919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 336 - 236. Let b be (9\/(-18))\/((-1)\/2). Calculate the remainder when i is divided by (-87 + 2\/b)*(-8)\/20.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:45 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/20 - k**4\/12 - k**3\/6 + 12*k. Let m(p) = 7*p**3 + 12*p**2 + 2*p - 4. Let s(g) = -6*b(g) - m(g). Give s(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 4:19 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obbboooboobobooooo. What is prob of picking 1 b and 3 o?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/21 and 76\/183.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351 (base 9) to base 3.\nAnswer: 101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -24*m + 20*m + 2*c, 5*m - 123*c = -110*c - 630 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -964.71 + 957. Let z = 0.29 - l. Which is the second biggest value? (a) -1\/6 (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) -81 (c) -2\/7 (d) -0.6 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66766186 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:38 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*p + o - 0, -p - 4*o - 18 = 0. Let c(i) be the first derivative of -p*i + 2 - 1\/2*i**2. Differentiate c(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335 by 165298.\nAnswer: 335\/165298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-7 - -2 - (38 + (-231 - -65))).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 + -0.0586.\nAnswer: 0.0514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-72))\/((-3)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242302200 (base 5) to base 13\nAnswer: 309609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126.8 - -0.0603280049199.\nAnswer: 126.8603280049199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 7. Let m(j) = -2*j + 699. Calculate s(m(d)).\nAnswer: -2*d + 692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162843 and 114.\nAnswer: 6188034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 2*g)*(-1020*g + 7*g - 252*g - 515*g).\nAnswer: -5340*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70 + 5\/(25\/20). Suppose a*d - 1 = 73*d. What is the greatest common factor of d and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (208\/8)\/((-3*2)\/(-3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -207, -275, -367, -483, -623?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-42)*(-24)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4158 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/80 - v**4\/12 - 5*v**3\/24 - v**2\/4 - 8*v. Factor r(c).\nAnswer: -(c + 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*0\/(-1). Let j = 7 + -1. Let q = j + 3. Solve 4*k - k + q = z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 752236?\nAnswer: -752235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 7*a**6\/10 + a**4\/6 + 35*a. What is the third derivative of q(o) wrt o?\nAnswer: 504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 8. Let l(y) = 2*y + 7. Let h(j) = 6*g(j) + 7*l(j). Let k(t) = -t - 1. Let c be k(-2). Calculate h(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(5) + (sqrt(110)\/sqrt(2) - sqrt(55))\/sqrt(11) - sqrt(20)\/(sqrt(196) - -1*sqrt(196))) + -3.\nAnswer: -13 + 13*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(3\/10))**(-26\/9) assuming y is positive.\nAnswer: y**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 105?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*l - 714, -338 + 1048 = 5*w - 5*l. Let p = 266 - w. What is the remainder when p is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1500, -38, 6, 596, -1 in descending order.\nAnswer: 596, 6, -1, -4, -38, -1500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/9 (b) 2\/9 (c) -2\/9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596730256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13*t + 13. Let c(w) = 12*w + 11. Let l(s) = 4*c(s) - 3*v(s). Calculate l(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -92. Let z = l + 28. Suppose 4*s - 3 + 7 = 0, z = 4*y + 2*s - 46. Solve -w = -3*d + 12, -3*w + 3*d = w + y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32552495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 139*k**2 - 297*k - 2115.\nAnswer: (k - 5)*(k + 3)*(k + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-333)\/(-6) + 7\/(-14). Suppose 56*t = x*t + 11. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -69\/1810 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174 + 177. Differentiate -4 - 209*z**4 - 17 - 2*z**g + 2*z**3 with respect to z.\nAnswer: -836*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1104\/(-40))\/((6\/10)\/((-6)\/4)). What is the greatest common divisor of 13110 and i?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.024 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1586.3 + -1586. Which is the nearest to 0.9? (a) 3 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((825\/(-390))\/55)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 476\/117 - 50\/13. Is -337 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 316823364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 2*s**3\/3 + 2100. Let n(t) = -7*t**2 + 7*t - 7. Let r(g) = -4*g**2 + 3*g - 3. Let f(m) = -6*n(m) + 14*r(m). What is d(f(x))?\nAnswer: 392*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010728 divided by 8?\nAnswer: -251341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 6 - 6)*(1 + 2*x**2 - 1 + (0 + 0 - 1)*(3*x**2 - 4*x**2 + 0*x**2))*(-1 + 0 + 2).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 24 = -4. Suppose 0 = 4*w + 3*z - 49 + j, 0 = -w - 2*z + 16. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 353830389903911?\nAnswer: 353830389903910.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o - 69. Let a be b(6). Suppose -u + 152 - 1 = -5*f, -a = 3*f. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67.8 - 62. Let a = f + -6. Which is greater: 0.3 or a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/(-170))\/(567\/280)*3\/15.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**3 - 6. Let l(j) = j**2 - 4. Let k(r) = -4*r**2 + 11. Let b(f) = -4*k(f) - 11*l(f). Calculate w(b(m)).\nAnswer: 75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/5282 and 21\/21413057.\nAnswer: 5952829846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26336 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -29*p**3 + 7*p**2 - 13*p - 100. Let m be g(-8). Is -4 + (m\/70 - (-3)\/7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*h**2 + 135380*h + 3536*h**2 - 135380*h.\nAnswer: 3607*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -26*w**3 - 2*w**2 + 2*w. Let i be z(-2). Suppose -b - 3*b = 4*c - i, -b = -4*c - 59. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5\/11 + 146*p**4\/11 + 38*p**3 - 146*p**2\/11 - 420*p\/11 = 0.\nAnswer: -70, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-82)\/(-110) - 18\/33. Let b be 7 - (-9)\/(441\/(-329)). Put z, -2, b, -4\/3 in ascending order.\nAnswer: -2, -4\/3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 1 - 3. Which is the biggest value? (a) z (b) 0.2 (c) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/918 and -7\/60.\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 <= 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 4*m + 20. Let v be c(7). Is v\/(((-12)\/598)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.5 - -4.797. What is y rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104035351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*x - 9*x + 7502, -2*g + 3762 = -3*x. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-22) - 3\/(-6). Let o = 4.001 - 0.001. Let c be 12\/10*(-17 - 759\/(-46)). What is the second biggest value in o, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.059 (b) -39 (c) -4 (d) -1\/6 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 803813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/378 and 29\/12?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -1\/6*m**3 - 3*m**2 + 1\/8*m**4 + 0*m + 1\/60*m**5 + 0. Is 3 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 1 - 6. Suppose -3*k = -2*d + d - 552, -s*k + 918 = -d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4627336 rounded to two dps?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -35*o**3\/3 - 405*o**2\/2 - 220*o - 2508. Factor g(u).\nAnswer: -5*(u + 11)*(7*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25654758359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*b + 62 + 206, -5*m - b = -1314. Suppose 0 = 5*d - m + 18. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 106. What is the remainder when p is divided by (-2)\/(0 + (-6)\/51)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 93549 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 452958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197 - 319. Let b = 41 - l. Suppose -445 = 158*c - b*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*h + s, 2*s = 18*h - 23*h + 51. Solve 2*g + o - h = 6, 4*o = g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, f: 1, u: 6, n: 1, p: 1, s: 3}. What is prob of sequence snss?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2158 (b) -47 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - v + 7. Let b be (-1 + -1 + 7)*1. Let k be i(b). Let c = 118 - k. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 26*w - 84. Let p be c(-18). Let r = -94 - -164. Let g(t) = -2 + 2 + p*t - r*t. Let y(q) = q**2. Give y(g(h)).\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r**3 - 4*r**2 + 2*r + 31. Let a(d) = 2*d**3 - d**2 - d - 2. Let h(v) = -3*a(v) - t(v). Let q be h(-3). Let o = -64 + 19. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91378253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1207918 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*l = -330*l + 192*l - 300 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6309 by 10695.\nAnswer: 2103\/3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6974 + -4806. Let f = -8597\/4 + k. Let w = 33\/26 + -469\/52. Calculate the common denominator of w and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694) + sqrt(1694)*-1*-1)\/(sqrt(70)\/(sqrt(90) - sqrt(10)) + ((sqrt(35)\/sqrt(5) + sqrt(7))*-4 + sqrt(7) - sqrt(7))).\nAnswer: -44*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 807, 813, 811, 795, 759, 697, 603, 471?\n\"Answer: -t**3 + 2*t**2 + 7*t + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 - 9*k + 5. Let m be v(19). Suppose m = 6*y + 414. Is 36 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 - 3*w + 9. What is b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 426.9 + 0.7.\nAnswer: 427.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1274 - 1266. Solve 35 = 9*b + w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 7590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*f - 43, 4*r = -5*f + 10*f - 52. Solve -f*q = -25 + 49 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -127*x. Let v(i) = -776687*i. Calculate v(a(m)).\nAnswer: 98639249*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + a + 4*a)*(-6 + 11 + 15).\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*p + 29*p - 23*p + 52*p + 79*p.\nAnswer: 218*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(sqrt(704) + (sqrt(704) + 1 - sqrt(704))) - sqrt(704))**2 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i**(2\/5)\/i)\/i)\/i*i*i*i*i\/i**4*i)**(-33) assuming i is positive.\nAnswer: i**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -b + 3*l, b + 82 = l + 315. Calculate the highest common divisor of 3078 and b.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/2 - 407*v**3 - 64525*v**2\/2.\nAnswer: -v**2*(v + 89)*(v + 725)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -1124, -2575, -4600, -7193, -10348, -14059?\nAnswer: -18320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/26)\/(-7)*1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46369\/8 + 5796. Which is the closest to z? (a) 9 (b) 1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 39. Suppose 5*i = 2*i + a. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7748*i - 7775*i + 702 = 0. Put i, -23, -0.4, 3, -0.2 in descending order.\nAnswer: i, 3, -0.2, -0.4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*c - 40 = 2*i - 171*c, 0 = -2*i - 2*c - 38 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 102*i + 160. Let k be d(3). Suppose 4*s - 25 = -29, 2*s = q - k. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*i - 61605 = 135*i. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*l = 14, 21*j - l = 16*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**4\/12 - 23*t**3\/6 + 33*t**2 - t + 302. Determine c(21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 789*u**2 - 69*u + 2. What is the thousands digit of m(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, q: 3}. What is prob of sequence qd?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w**3 - 58 - 1\/2*w**2 + 4*w - 2*w**4. Find the second derivative of i(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 8*w**2 + 5*w - 10. Let h be z(-7). Let m = 4 + -2. Let d = -1 + m. Which is the nearest to -1? (a) h (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l = -8, 3*l - 18 = -4*b. What is the tens digit of (-10)\/(-15) + (1299\/9 - b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 250*h - 252*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*sqrt(3)*4 - ((sqrt(363) - ((sqrt(363) + 0 - sqrt(363) - sqrt(363)) + sqrt(363) + sqrt(363)))**2 - sqrt(363))*1.\nAnswer: -13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 3\/142, 0, -4?\nAnswer: 3\/142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -2.4793, -2.\nAnswer: -42, -2.4793, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1857702 is divided by 1505.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*z - 15 = 0, 40*r = 43*r - 2*z - 20. Calculate the remainder when 105 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 317295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119056815 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44329330861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -147053.3798 rounded to the nearest 10?\nAnswer: -147050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6087.\nAnswer: 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 2*z - 708550 + 708547.\nAnswer: -5*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3345 and 124305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3949800 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2603801*a**4*t**2 - 166*a**4 + 10*a*t**2 + 3*a - 1093*t - 220 wrt a.\nAnswer: 31245612*a**2*t**2 - 1992*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -192)*(-6)\/4. Suppose -j - 3*y + 9 = 0, j = -j - 9*y + 12. What is the highest common divisor of j and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013482 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 6. Suppose -7*z + 194 = -q. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10876263 is divided by 94?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 1. Let x = -8 + 11. Let t = 15 - x. Let f be (-2)\/(-1) - (-9 + t). What is y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 5, -53\/4, -1, -4, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*t + 90 = 0, 3*u + 5*t - 454 = -134. Let l = 46 - 23. Calculate the greatest common factor of u and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**3\/3 - 2*x**2 - 3*x + 4. Calculate the remainder when 35 is divided by w(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*p + 11 + 1, -3*j - 13 = 2*p. Let b = 0 - j. Solve 7 + b = 3*c, -4 = -2*d - 3*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(18) + sqrt(1152)*-6))**2*3.\nAnswer: 1908576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 3. Let k be l(-2). Solve 0 = -5*m + 4*f - k, m + 1 - 4 = 2*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118206035?\nAnswer: 5, 23641207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8134*h*j**2 + 39*h - 1047879*j**2 wrt h.\nAnswer: -8134*j**2 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, -4, -0.2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161\/3 + -53. Let v be 2\/(-10) - 351\/(-105). Let r = 67\/28 - v. Which is the nearest to 0? (a) d (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 5*q**2 + 3*q - 4*q + (-3*q**2 + 3*q**2 - q**2)*(0 + 4 - 2) - q**2 - 3*q**2 + 3*q**2 as b*q**2 + t + y*q and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and -16 - (-1 + 63829)\/(-18)?\nAnswer: 3530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 753534*z**5 - 4486408*z wrt z?\nAnswer: 15070680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1204363989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, 12, 64, 148, 270, 436?\n\"Answer: w**3 + 7*w**2 - 2*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/60 + d**4\/24 + d**3\/6 + 10*d**2. Give p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-9\/4)*y**(-29\/5) assuming y is positive.\nAnswer: y**(-121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Let w = 0.18 + -1.28. Let q = -1.5 - w. Sort p, 0.4, q in decreasing order.\nAnswer: p, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60, 6\/7, -12.6?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 47. Let i = -19\/2 - 6. Let c = i - -213\/14. Is c less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-833)\/2030) - (-21)\/357?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (-434)\/21*6*-1*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548636 is divided by 109716.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n. Let o = 3 - n. Solve -4*j - l - l = -24, o*j + 4*l = 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -43, 5\/2, -7, -25383?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + p + 26899 = 0, p - 1856 - 14277 = -3*l. Suppose l = 3*k - 0*k. Let t = 4624 - k. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210239*n**3 + 18*n**2 - 2556696*n?\nAnswer: 1261434*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-470)\/(-329)*(-14)\/15.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.83 and 2.81715.\nAnswer: 2.3382345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-14))\/y**25 assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*b**2 - 486*b**2 + 2*b - 56*b**2 to r + v*b**2 + k*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -7*q - 12. Suppose -c = -2*c - q. Let a(h) = -6*h - 4. What is the tens digit of a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39483 or 39479?\nAnswer: 39483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -7*n**3\/6 - n**2 + 2*n - 20. Let i(w) = -50*w - 5. Let v(b) = -b. Let h(a) = -i(a) + 30*v(a). Determine -4*h(f) - 11*o(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 44\/51, 0.4, 1\/4, 2, 277?\nAnswer: 44\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20410403 (base 5) to base 13.\nAnswer: 5c1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.194952 kilometers?\nAnswer: 1194952000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4714*w**3 + 1541*w**3 + 1576*w**3 + 1585*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72874929653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1 + (-5 + 4 + 0)*(-2 + 2 + 1) - 5 + 3 + 1)*(0 + 9*l**4 + 0).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + c = -5*z + 1533, 3*z - 4*c - 1533 = 0. Suppose -3*m + z = 4*j - 2*j, -j + 278 = -3*m. Does 41 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7871774 - 7871774 - 31155*m**2 in the form y + p*m**2 + g*m and give p.\nAnswer: -31155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -254, -482, -804?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4646 + 1016. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 227.93697 and 4.\nAnswer: 911.74788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (-2 - -37) - (-31 + 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11545080 and 20.\nAnswer: 11545080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8911 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 28963*j**2. Let w(z) = -133*z**2. Determine w(m(k)).\nAnswer: -111567764077*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (21*7692\/42)\/(1 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18383725 a multiple of 1068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + 0 + 4*(sqrt(7) + 1) + 4)*-5.\nAnswer: -20*sqrt(7) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0 (b) 1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**(6\/19))**(8\/13)*z*z**(-6)*z*z*z**(-1\/3)*z**(3\/4)\/(z**(-3)\/z*z) assuming z is positive.\nAnswer: z**(1043\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.83 and 258.\nAnswer: -730.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 7*o - 8. Solve 0 = -2*i - 2*k - 6, -k - 5 = -o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 (base 4) in base 15?\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*p + 65*p - 1122 = 143*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -134 + 15\/2*r**2 - 78*r. What is the first derivative of z(w) wrt w?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {a: 2, w: 1, m: 1, l: 4, c: 2, r: 5}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*f + 127591, -12679 = -3*f + c + 63880. Suppose 0 = -z - 3*i + 12758, -16*z - f = -18*z - 3*i. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b + 2*b)*(3 + 2 - 7).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71351*m**3*p**2 - 3*m**3 + 28*m**2*p + m*p**2 + 14283*p**2 wrt m?\nAnswer: 428106*p**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188 - 174. Solve -18*f - 20 = -q*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-120)\/(-175))\/(-8))\/(27\/(-15)). Which is smaller: 7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, and 2 d when four letters picked without replacement from jgaadogdouggg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2349.4066 + 2350. Round j to two decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120156024?\nAnswer: 2, 3, 5006501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35178 divided by -11726.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 94\/10 - ((-12)\/(-30) + 0). Suppose -q*l - 800 + 3509 = 0. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308550*r = -308426*r + 5580 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:49 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = k - 15, 2*u = -2*k - 26 + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.91 - 0.09. Let r = m + 3.99968. Round r to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4985, -9970, -14955, -19940, -24925?\n\"Answer: -4985*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41.1 or 1308?\nAnswer: 1308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:59 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 10*y**2 - 14. Let u be j(11). Suppose 5*x = -4*d + u, 33 = 2*x - x - 5*d. Let s = 225 + -133. What is the highest common factor of s and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -77, -147, -223, -311, -417, -547?\n\"Answer: -r**3 + 3*r**2 - 72*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/(-3))\/(-10 + 12) and 2 + 0 + 8\/(-36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57\/20 - -18\/5. Let i = -38 - -45. Which is the closest to p? (a) 3 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31088 by 171.\nAnswer: -31088\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 26 = 2*a, 3*a - 1 = -z. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 11*n - 21. Give w(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*v + 9119 + 15789, -t - 6221 = -3*v. Round t to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2808, -16, 0.0992?\nAnswer: -2808","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*p - 201, 5*p + 2*y - 336 = 4*y. Let s = 479 - 213. Suppose s = 5*a + 14*a. Calculate the remainder when p is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 155*i + 3290 - 3290 + 19*i - 46*i - 10*i + (-5*i + 0*i + 4*i)*(-3 + 3 + 2).\nAnswer: 116*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52189 = -1136*q + 10429 + 12781 - 65309 for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -157107150 divided by 5\nAnswer: -31421430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325387660 divided by -65?\nAnswer: -5005964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 12:21 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 6*p**2 + 2*p - 7. Let i be t(6). Suppose 0*y - 5*y + 85 = -5*u, -i*y + 113 = 2*u. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 10 + -2 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 5*v - 2. Let y be z(3). Let t(c) = -c**3 + 6*c**2 + 6*c + 5. Let w be t(7). Let n = 0 - w. Put y, n, -5 in descending order.\nAnswer: y, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**8\/560 + k**4\/8 + 2*k**3\/3 - 4. Let o(p) be the third derivative of q(p). What is the first derivative of o(g) wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 45. Let c = 98 - t. Solve -3*f - c*f - 3*f**3 + 12*f - 21*f**2 = 0 for f.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - g = -271, -5*k + 4*g + 94 + 172 = 0. Suppose 42*h = 33*h + k. Let s(w) = 105*w - 91. Let r(a) = -7*a + 6. What is h*s(x) + 91*r(x)?\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12827*s + 6413*s + 6416*s.\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45 - 29) + -11 + -1*(0 - -2). Factor 0 + 0*g**4 - 2\/5*g**5 - 2\/5*g + 0*g**2 + 4\/5*g**j.\nAnswer: -2*g*(g - 1)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14619*q**5 + 145467*q**2 - 2*q wrt q.\nAnswer: 877140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 2*y - 4. Suppose i = -p + 4, 2*p - 14 = -7*i + 2*i. Let w be -3 + p - -4 - 6. Let s be l(w). Which is smaller: s or 2\/37?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 801171.\nAnswer: 1602342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 31. Let r(g) = 3*g + 4 - 3 - g**3 - 25*g**2 + x*g**2. Calculate r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 4, e: 6}. What is prob of picking 3 e?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -530047 < -529941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/60 - k**4\/4 + 2*k**3\/3 + k**2. Let b be q(-6). Suppose -20 = -5*g, -5*x = -6*x + b*g - 5. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346884 - 5*j**2 - 2693757 + 1346873.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -753*h**3 + 10*h**2 - 29*h + 1. Let z(b) = 378*b**3 - 6*b**2 + 17*b - 1. Calculate -3*s(p) - 5*z(p).\nAnswer: 369*p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115685978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -89. Which is the biggest value? (a) -0.1 (b) u (c) 0.09 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*p**4 + 32950*p**3 - 9706698*p**2 + 7599312*p + 2074464 = 0. Calculate p.\nAnswer: -3\/14, 1, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*i - 5, 2*h + 1 = -3*i - 1. Let u be 4\/(-12) - h\/6. Let l = -1577 + 1573. Which is the nearest to -2? (a) u (b) l (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 136529052.\nAnswer: 682645260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-34))**(-4) assuming i is positive.\nAnswer: i**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 340*t**2 - 102*t**5 - 103*t**5 + 303*t**5 - 8*t**4 - 104*t**5 wrt t?\nAnswer: -360*t**2 - 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) - (sqrt(300) + 1)) + 1 - sqrt(300))**2 - (sqrt(300) + (2*sqrt(300) + -2)**2)) + 0 + sqrt(24)\/((sqrt(96)*2)\/sqrt(12)).\nAnswer: -904 + 141*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 + n. Calculate the lowest common multiple of 30 and v(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (0 - -9)) + (-6 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -33. Let x = -7 - -16. Let v = 2 - x. Sort v, -4, c in descending order.\nAnswer: c, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 1. Let y(l) = -40*l**2 + 35. Let j(h) = 105*d(h) - 3*y(h). Let s(v) = 2*v**2. What is s(j(z))?\nAnswer: 450*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.99 + -0.59. Which is the closest to -45? (a) 0.3 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -681231, 384 in ascending order.\nAnswer: -681231, -5, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, 5, 55, 3, 2, -7, 1 in descending order.\nAnswer: 305, 55, 5, 3, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955219 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 - 3 + 1)*(-7*p - 22 + 22) + p - p + 3*p)*(-1 + 0 + p**2 + 0*p**2).\nAnswer: 59*p**3 - 59*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/7, -0.5, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/47 and -47\/8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o. Let q(t) be the first derivative of 2*t**2 - 12. Determine h(q(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12589 - 12585. Solve -7*n + 3 = -r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 2*v + 2. Let b(r) = 1. Let j(y) = -y + 7. Let p be j(2). Suppose -g = 2*g + c - 5, 0 = -p*g + 3*c - 1. What is g*b(x) - a(x)?\nAnswer: x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.649 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*b, h + 2*h - b = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322 + -2579\/8. Let m = -50 + 54. What is the closest to 2 in m, -4, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 5*a + 30. Suppose -p + a + 0 = 0. Let h(r) = 3 + 2*r - 7*r**2 + 6*r**3 + 5*r - 5*r**3 - 5. Calculate h(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*t - 36, -v + 2*t - 1 = -0*v. Suppose 14 = 3*h - 2*h - 5*r, -2*h = -3*r - v. What is the closest to h in 1, -4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*d = 4*d + 10, -2*x + 1 = d. Let a = -2 + x. Suppose a = -4*k - 4*j + 508, 2*k - 7*j - 254 = -2*j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1136 - 4562205?\nAnswer: -4561036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-9)\/(-5) + (-4)\/(-40)*2. Sort 4, -3, -8, n, -5 in descending order.\nAnswer: 4, n, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 696 (b) 26 (c) 5 (d) -508\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*6.7.\nAnswer: 33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 43\/5 - 6*5\/50. Let i(o) = 4*o**2 - 20*o + 10. Is i(d) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i - 41. Determine p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 2*y**3\/3 - y**2 - 2*y - 2. Let f be z(2). Suppose -f*v = 2*v - 28. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485422.5 minutes to seconds.\nAnswer: 29125350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11 - 2*p + 6*p - 4*p + p. Let a be q(-8). Suppose a*d - 66 - 24 = 0. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a + 94*a = 26*a - 3059 - 3805 for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*p - 5*s, 36 = -2*p + 5*s + 45 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - (4 - 1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/8 + (-13)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-1 - -17 - (812 - 865))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126348?\nAnswer: 2, 3, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 0*l**2 - 8*l**2 - 12.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9135\/(-14210)*7\/15?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247894535 to the nearest integer?\nAnswer: 15745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*q - 5, -671*o + 2*q = -667*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -302.43 - -303. Put -0.4, y, 5, -0.5 in descending order.\nAnswer: 5, y, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 3000. Let x(t) = -2*t**2. Give h(x(b)).\nAnswer: -12*b**4 - 3000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20180057*-0.1.\nAnswer: 2018005.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -28*o**4 + 36*o**3 + 48*o**2 - 16*o = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -128f + -3?\nAnswer: -1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1300))*-5 + sqrt(1300) + 0)**2 + (sqrt(117)\/(sqrt(9)*2) - (sqrt(13) + -1 + -2)).\nAnswer: -sqrt(13)\/2 + 20803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*s - 106. Suppose 2*q + 3 = s. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38126, 76460, 114794, 153128?\nAnswer: 191462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 893.3429nm?\nAnswer: 0.0008933429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -10, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:11 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r = 15. What is the lowest common multiple of r and 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 - -66 - (0 - (-5 + 84 + 5 + 0))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {p: 9, m: 7, i: 1, s: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 12:51 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7710.\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 76*j + 1 - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43438552 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49498.27 nanograms in tonnes?\nAnswer: 0.00000000004949827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 - 186 - 313*s - 178 + 554.\nAnswer: -313*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -36. Suppose 0 = 13*v - y*v - 884. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7066 - -746?\nAnswer: 7812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 248406.1017 rounded to the nearest one hundred?\nAnswer: 248400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21504608 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: Is 228755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14820.8 + 264840404?\nAnswer: 264855224.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52178 by -26089.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -208, -334, -464, -592, -712, -818?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 0, -89 in increasing order.\nAnswer: -89, 0, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.46485 micrograms to kilograms.\nAnswer: 0.00000006346485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.58 - -0.2.\nAnswer: -11.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -795086 rounded to the nearest 10000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 460.89 + -79.09. Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 24633818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 13 + 37 + (-93 - -63)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 14*a + 78. Calculate the remainder when 621 is divided by q(-14).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1243 + -6172\/5. Let g(z) = z**2 + 6*z - 29. Let t be g(-9). Find the common denominator of r and ((-87)\/t)\/(3\/(2\/(-2))).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16379992?\nAnswer: 2, 41, 49939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*a + 4 = 2*a, -4*g + 4 = -2*a. Factor -1\/2*n**2 + g*n**3 + 1\/2*n**4 + 0*n + 0.\nAnswer: n**2*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 78*i**3 - 9*i**2 + 7*i - 3. Let w(q) = -q**3 - q**2 + q - 1. What is -r(g) + 7*w(g)?\nAnswer: -85*g**3 + 2*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - w = 943, 4*w - 283 + 915 = -2*b. Is 6\/9 + (-2)\/(12\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 5*w**2 + 8*w + 7. List the prime factors of h(-5).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from jjzmjjjjfzjjjj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(7\/8))**35*(n*n\/n**3)\/n**(-4\/3)*n**(1\/3)*n\/(n*n**(1\/2)*n) assuming n is positive.\nAnswer: n**(-755\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4814 and 66.042.\nAnswer: 65.5606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -74048 (base 13) in base 14?\nAnswer: -56127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -874*a**2. Let l(j) = 1063*j + 3. What is l(u(s))?\nAnswer: -929062*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 5\/6, -1\/3, -0.3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047885635 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: Convert 14 (base 9) to base 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.2 (b) 0.842 (c) -2\/19515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22852901420 + 0.\nAnswer: 22852901420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(125))**2.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*1*1 + 1. Let z be (-2)\/(-8) + 2\/l. Suppose f - 24 = 4*g, 9*g + 18 = -5*f + 6*g. Solve z*y - 2*y + 2*v = -2, v - 2 = f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -4*q - 4*r - 35, 5*q - 3*r = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 137454?\nAnswer: 137477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**7\/420 + c**6\/180 - 7*c**3\/6 + c**2. Let t(d) be the first derivative of q(d). What is the third derivative of t(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -16, 16, 1, -2\/3, 2 in increasing order.\nAnswer: -16, -2\/3, -1\/3, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.046? (a) 1\/5 (b) 0.4 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 17*t**4\/24 - 83*t**3\/6 + 18*t**2. Let s be o(5). Solve 2 = -s*f + f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/40 and ((-8)\/((-7200)\/477))\/(4\/10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(300) + -2 - sqrt(300)) + (1 + sqrt(300))*2)**2 - ((sqrt(15)*1*3 + sqrt(15))\/(1*sqrt(245)))**2*5.\nAnswer: -160*sqrt(3) + 59344\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 0*n**2 + 2*n**2)*(165 - 103 + 278).\nAnswer: -680*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 4*u**2 - 6*u. Let w(i) = 2*i - 14. Let a be w(7). Let s(t) = -3*t - 3. Let f be s(a). Let k(y) = -3*y**2 + 5*y. Calculate f*j(c) - 4*k(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -4. Find the first derivative of -2 - 2 - w*f**2 - f + f wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9665.952 decades to centuries.\nAnswer: 966.5952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.7 + -3.7. Let z = -4.6 + 4.41. Let w = -0.19 - z. Which is the fourth biggest value? (a) 5 (b) t (c) w (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -561*s + 1750*s - 835 - 847 + 1680 as r*s + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(80)*-1 + (sqrt(80)*-3 - sqrt(80))*-2 + 0 + 5)**2.\nAnswer: 640*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 14 + 10 = -5*c, -4*g - 19 = 3*c. Let w be (g - (-59)\/2)*6. Let n be (-36 + -2)*1*(-3)\/6. What is the greatest common divisor of w and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/20)\/(2010\/(-1340)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -265 - -268. Suppose 5*f - 136 = -4*a, f - 36 = -0*f - j*a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 o, and 1 u when four letters picked without replacement from {f: 1, n: 7, o: 4, u: 2}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*b - 67*b = 76*b. Solve b*g + 2*g = 2*k - 8, 4*g = -3*k + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 greater than -107\/336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 40*k - 24 = 38*k, 3*y + 5*k - 25 = 0. Factor -4\/5*i**4 + 0 + 4\/5*i**2 + 2\/5*i**y - 2\/5*i + 0*i**3.\nAnswer: 2*i*(i - 1)**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + y**2 - y**4 + 0*y**2 - y**2 - 4*y**3 as n*y**2 + w + z*y + o*y**3 + q*y**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13137*b**2 + 3*b - 6. Let c(w) = 24*w. Calculate c(p(t)).\nAnswer: 315288*t**2 + 72*t - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 + 4*u. Suppose 0*h = -h + 7. Suppose 0 = 2*g - g + h. Let x(l) = -9*l**2 + 7*l. Let n(q) = g*t(q) + 4*x(q). Let z(w) = -w. Give n(z(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/442330 and 35\/1896.\nAnswer: 419328840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x**(2\/5)\/x)\/x)*x**(3\/5)\/x)**(-1\/5) assuming x is positive.\nAnswer: x**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**8\/3360 - f**7\/210 + f**6\/30 - 2*f**5\/15 + 17*f**4\/6 + 2*f. Let z(x) be the third derivative of j(x). Solve z(y) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 1. Let h(b) = -1. Let n(y) = -32*y - 126. Let w(x) = 5*h(x) - n(x). Let a(m) = 3*l(m) + w(m). What is the derivative of a(p) wrt p?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from wnwwhwnnnnnwnwwnnww?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219716, -439396, -659076, -878756, -1098436, -1318116?\nAnswer: -1537796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 13. Let x be y(-7). Let j = 5 + x. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3490617 and -180939?\nAnswer: 3309678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1625 - -63232?\nAnswer: 65057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/30 + (-12)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -293.\nAnswer: 14\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 9*h**2 - 4*h - 21. What is the remainder when p(-9) is divided by 6 + -3 - (0 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-2*g**2 + 2*g**2 - 2*g**2) - 81 - 4*g**2 - 85 + 172.\nAnswer: -10*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3926 + 0.0074. Which is the nearest to 2\/7? (a) -0.02 (b) 2\/7 (c) 0 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981 greater than 3743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 35.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*d - 198*d**2 - 272*d - 29122*d**2 - 1.\nAnswer: -29320*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -97*i + 92*i, 3*s - i = 11. Suppose -s*x - 2*o = -23, 31 = 5*x - o + 5*o. Suppose -49\/3 + 1\/3*l**x + 13\/3*l**2 + 35\/3*l = 0. What is l?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/6)\/(-4))\/(1\/9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.44 - -10. Let r = h - 49.56. Let q = r + 49.0116. Round q to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b. Let p(d) = -9563*d. Calculate p(u(y)).\nAnswer: -47815*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w - p, -4*w + 5*p = 2*p - 9. Suppose -w*h + 68 = 20. Let u = 16 - h. Solve u = 2*a + 6 + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/2 + z**3 + z**2\/2 - 5*z - 167. Let l(p) = p**3 - 2*p**2 - p + 3. Determine -5*l(w) - 3*t(w).\nAnswer: w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 31*k - 1553. Let i be c(37). Let l(p) = p**2 - 39*p + 64. What is l(i)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(13 + (0 - 12))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {s: 11, i: 9}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051?\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 take away 7967.683?\nAnswer: -8186.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 18*a - 50 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -581087, -2324332, -5229739, -9297308, -14527039?\n\"Answer: -581081*f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4334*y - 390187 - 205879 = 10694 for y.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4996\/3 + 6419854\/3855. Let k = a - 101499\/10280. What is the common denominator of -73\/2 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/83 and -5\/7.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 9) in base 14?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 116\/(-32) + 2\/8 and -59\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51305 bigger than 51299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310 + -310. Let r(d) be the first derivative of p*d + 5 - 1\/9*d**3 - 1\/6*d**2. Find f, given that r(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - (1 + -2))*(23 + -9). Let v = -72 - t. Let q(z) = z - 7. Let k be q(v). Solve -k*g = b - 4, -b + 4 = 3*g - 2*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u - 25 = 5*m, -5*u = -3*m - 53. Suppose u*b - 336 = 1924. What are the prime factors of b?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 552, 1246, 2218, 3468?\nAnswer: 4996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 - -184. Suppose p*b = 38*b + 192. Let t(k) = k**2 + 7*k - 2. Determine t(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 12*k + 71*k**3 - 72*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, m: 1, r: 1, n: 1}. Give prob of sequence drmn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 39039416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**3 + 27*p**2 - 58*p + 460. Calculate a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 848324.\nAnswer: 3393296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -5*x**4\/4 + 2*x**3 - 29*x**2 - 66. Find the second derivative of m(h) wrt h.\nAnswer: -30*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/21)\/b)\/b*b*b*(b*(b\/(b\/b**19))\/b)\/b assuming b is positive.\nAnswer: b**(379\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*z - 22*z - 98 = 0. Suppose z = 17*r - 151. Calculate the lowest common multiple of 10 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 196 + -198. Sort -5, 3, r, -8 in decreasing order.\nAnswer: 3, r, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/8)\/(2\/(-8)). Suppose k*g - u = -37, 4*g + 20 = -0*g + 4*u. Let r = g - -11. Solve -4*b = -r*o + 35, -2*b - 10 = -0*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250\/1500*8\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -100231 at most as big as -100227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 10:08 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2697, 2688, 2677, 2664, 2649, 2632?\n\"Answer: -g**2 - 6*g + 2704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:49 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12313 (base 4) to base 8\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17078.59*6\nAnswer: 102471.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**4\/24 + 5*t**3\/6 - t**2. What is the smallest common multiple of w(-5) and (-23)\/(-4) + (-1)\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15)\/t**(-2\/3))**50 assuming t is positive.\nAnswer: t**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014786915 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*d + 4. What are the prime factors of ((-14)\/d)\/(3\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + a)*(0 - 12 + 2) - 3*a - a + 3*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -8. Let x = -0.822302 + -0.177698. Suppose 4*y = y - 9. Which is the third smallest value? (a) 4 (b) l (c) y (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.504914 - -0.28844\nAnswer: 0.793354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -109178 divided by -2?\nAnswer: 54589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 10*z = -6584. List the prime factors of z.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191725 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 + 85*r**2 + 559*r - 134. Calculate z(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14369 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*((-18)\/(-3))\/3. Let p = 22 - r. Sort p, 0, 1 in descending order.\nAnswer: 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17095*k*l*m*u + 4*k*u + 4*l*u + m*u - 10107*u wrt k.\nAnswer: 17095*l*m*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/11 - 12120*z**3\/11 + 17485608*z**2\/11 + 2680830400*z\/11 + 15452880000\/11 = 0.\nAnswer: -134, -6, 3100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3011400 and 14175.\nAnswer: 27102600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quuuyimiu. Give prob of picking 1 y, 1 m, 1 q, and 1 u.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31032 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 + -2 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + -9504?\nAnswer: -9478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16440, 65492, 147238, 261672, 408788, 588580?\nAnswer: 801042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 x when three letters picked without replacement from {p: 2, z: 1, s: 2, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/7 (b) -1 (c) 5\/4 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - k**3 + 4*k**3 + (-k + 0*k + 0*k)*(-5*k**2 + 5 - 5) + 664 + 57*k**3 - 664 to w*k**3 + n + d*k + p*k**2 and give w.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 u when four letters picked without replacement from ucuhuucuhhqquchycuyu.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5497694 take away 8343897?\nAnswer: -2846203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 - (87 - 142) - (1 - (-61 - -1))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + 9. Suppose 5*t + g - 2 = 0, -8*t + 3*t + 2*g - 4 = 0. Let u be f(t). Let a = u - -40. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - (-284)\/10. Let g = 509 - 229. Suppose -4*q + 0 + g = 0. Calculate the greatest common divisor of q and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1 - 108*i + 1 + 114*i. Let h(x) = -2*x. Give t(h(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1. Let o(h) = -44*h - 3. Give o(m) - 2*q(m).\nAnswer: -44*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804*q + 172*q + 175*q - 1 + 194*q + 208*q.\nAnswer: -55*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.757374 to 2 decimal places.\nAnswer: 33.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/24 and -63\/592.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1030 = -5*j - 0*g, -3*g = -j + 220. Suppose -2*x + j = 51. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -r - 3, 3*l + 4*r = 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132646539 and 9755?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1187*h**2 + 2*h - 4295.\nAnswer: -2374*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4636*s - 4604*s. Let n(o) be the second derivative of s*o**4 + 0*o**3 - 3\/5*o**5 + 0 + 6*o**2 - 7*o. Find the first derivative of n(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 1, -3, 4502 in decreasing order.\nAnswer: 4502, 1, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 152097829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6598 (base 16) to base 11\nAnswer: -185a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**3 - 420*l**2 + 828*l - 412 = 0.\nAnswer: 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**2 - 6*w + 14. Let u(t) = 7*t**2 - 5*t + 14. Let g(r) = -6*q(r) + 5*u(r). Let f(a) = -a**2 + a + 8. Let o be f(0). Does 5 divide g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 r when three letters picked without replacement from {r: 1, l: 1, n: 11, h: 1, o: 3, y: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 81. Suppose 16*k - 12*k = 8. Let d = k - m. Calculate the remainder when 47 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 220*t - 21306. Give k(97).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7735894.\nAnswer: 2, 3867947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 23 + 10)*(m**4 + 4*m**4 - 4*m**4).\nAnswer: 23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 7*a**2 - 7*a + 1. Let t(c) = 2*c**2 + 25*c - 6. Let k be t(-13). Suppose 8*z = k*z + 30. What is the remainder when z is divided by s(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361615684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205\/(-20)*(-8)\/3 is divided by (1 + -3)*(-1332)\/296.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 14*s - 28. Give w(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 241*g**2 - 241*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1254 times 18\nAnswer: -22572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**3 - 2*w + 2*w)*(0 - 7 + 1) + 5*w**2 + w**3 + w**3 - w**3 as f*w + r + j*w**3 + c*w**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 2, 5, -3 in ascending order.\nAnswer: -3, 1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2253*g**3 + 2252*g**3 + 2 - 6*g + 5*g**2 - 8*g**2)*(6 + 3 - 7).\nAnswer: -2*g**3 - 6*g**2 - 12*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-260)\/(-91) + 1\/7. Solve 2*m + c*i = i - 16, -3*m + 2*i = 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - s + 6. Let j be n(5). Suppose 4*u + 5*p - j = 0, 4*u - 108 = 4*p - 0*p. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(275) + sqrt(275) + (sqrt(275) + (-2 + 2*sqrt(275) - sqrt(275)) + sqrt(275) - sqrt(275)) + 3 + sqrt(275) + 3))**2.\nAnswer: 200*sqrt(11) + 6891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 7*v + 21. What is g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122325\/7875 + 2\/10*-1 - 58\/(-87).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -524.8 + 525. Let z = -0.3 - 0.6. Which is the fourth biggest value? (a) -4 (b) s (c) 2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 3*z)*(0*z**2 + 4*z**2 - 2*z**2) + (4*z**2 - 4*z**2 + 3*z**2)*(z + 1 - 2 + 2).\nAnswer: z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -82673 (b) -4\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -28*v - 140 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/83 (b) 2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/(-185)*(-8 + -29*5\/(-15))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 1\/4*p**2 + 3\/4*p**3 + 1\/4 - 3\/4*p - 1\/2*p**4 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 - 1197 - 1851 = 108*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5361046973.\nAnswer: 19, 43, 101, 64969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2710, -2719, -2728, -2737, -2746?\nAnswer: -2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2641385 is divided by 27804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -150, -36, 166, 456, 834?\n\"Answer: 44*l**2 - 18*l - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -121. List 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 371157 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*u - 12 - 5 = 0, 11 = -a + 3*u. Sort -1, -4, a, -2.\nAnswer: -4, -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1553225 divided by -25\nAnswer: -62129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:32 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v + 3*b - 9, -3*v + 3*b = 9. Suppose v = 3*o + 77 - 215. Factor o*w + 3*w**2 + 450 - w**2 + 14*w + 0*w.\nAnswer: 2*(w + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s + s + 8 + s**3 - 5*s - 7*s**2. What is the units digit of v(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_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: Solve 4*n - 8 = t, -3*t + 8*t + 25 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -74818148, 22 in descending order.\nAnswer: 22, 1, -74818148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(55)\/(sqrt(11) + sqrt(66)\/(sqrt(18)\/sqrt(3))) - (sqrt(180) + 1 + 3 + -4))**2.\nAnswer: 245\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -12*b + 22. Let j(c) = -6*c + 11. Let u(p) = -7*j(p) + 3*x(p). Differentiate u(y) with respect to y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 7*f + 9. Let x be o(2). Suppose -6*j + 4*j = -6, 0 = 5*z + 4*j + 3. What are the prime factors of x\/((-9)\/(-42)) - z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 + 7396336 - 7396336.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50517*b**3*m**2*y - 3*b**2*m**3*y**3 + b*m**3 + 5*b*m*y**3 - 5*b*m*y**2 - 47994*b wrt b?\nAnswer: 303102*b*m**2*y - 6*m**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75793*u**2 + 9895 - 9895 + 8529*u**2.\nAnswer: -67264*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 - p + 1. Let c(o) = 12*o**2 - 17. Let q(h) = 10*h**2 + h - 14. Let i(r) = -3*c(r) + 4*q(r). What is -i(n) - 4*m(n)?\nAnswer: 4*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24514 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 - a - 1. Determine z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -46\/3, 309\/398 in descending order.\nAnswer: 309\/398, 0, -46\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -76. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-6 - 18) - (-1 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r - 47. Let j(t) = -38*t + 105. Let k(z) = z - 2. Let s(g) = -j(g) - 6*k(g). Let x(v) = 5*f(v) - 2*s(v). What is the derivative of x(b) wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*o**2 - 3*o**2 + 4*o**2)*(-2*o + 5*o - o**2 + o) + (0*o + 0*o + 2*o**2)*(-3*o**2 + 2*o**2 + 2*o**2) + 1 - 1 + 3*o**4 + 0*o**4 - 5*o**4 + 3*o**4.\nAnswer: 29*o**4 - 104*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + (94 - (75 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 9. Let y be a(-6). Solve 20 = -y*d - 2*o, 2*d + 3*o - 8 = 7*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393.90725 to zero decimal places.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(3 - 3 - 2) + 8 - 4 + 0)*(-4*c + 8*c + 8*c).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 1127799*p - 37214100.\nAnswer: -3*(p + 33)*(p + 375900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18358299 divided by -53?\nAnswer: -346383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 4 - 4\/3*w**2 - 1\/18*w**4 - 4\/9*w**3 - 16\/9*w. Factor h(a).\nAnswer: -2*(a + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-216)\/45)\/(-4))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y - 8*y - 90*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411, -409, -405, -399, -391, -381, -369?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298029200 rounded to the nearest one million?\nAnswer: 298000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, 24301, 4 in descending order.\nAnswer: 24301, 9, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)*s)\/s**2*(s\/(s**0\/s)*s)**(-28\/9) assuming s is positive.\nAnswer: s**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(162) - -1*(2*sqrt(162) - sqrt(162))))\/(sqrt(81)*2 + sqrt(9) + sqrt(576)*-1) + -1.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t\/(t*t**8\/t*t)))\/(t*t\/(t*t**0*t)*t)*t**(1\/4)\/(t**0\/t))**(-18))**(1\/6) assuming t is positive.\nAnswer: t**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-31)*a**(2\/15)\/a*a**(5\/2))\/(a\/a**10*a*a**(-1\/3)*a*a)**3 assuming a is positive.\nAnswer: a**(619\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7*j - 3 + (-2 + 2 - 2)*(3*j - 5*j - j))*(174*j - 10*j - 24*j).\nAnswer: 1820*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/18)\/((-22)\/(-33)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 51*y**2 - 110*y - 214. Let a be m(-53). Let v = -179\/51 - 354\/17. Let q = 24 + v. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14272364*g*j**2 - 3242541*j**2 wrt g.\nAnswer: 14272364*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5976818327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/5)*s**(-8))**(-1\/8)*((s**(-1))**(-31))**(-7) assuming s is positive.\nAnswer: s**(-8643\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1338, -2660, -3982, -5304, -6626, -7948?\n\"Answer: -1322*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, n: 6, q: 2, j: 2, l: 5}. Give prob of sequence qkjq.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4)*((-24)\/(-15))\/(-4)*96\/60?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.042 - 6.558. Let x = -7 - r. Let m = -23.1 - -23. Which is the nearest to m? (a) -11 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 - 249 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3282709 + 0.0196245.\nAnswer: 3282709.0196245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68036 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.907 - -0.093. Let m = p - 42.1. Which is the nearest to 1? (a) 2\/3 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.1132.\nAnswer: 0.3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -520, -440, -302, -100, 172, 520, 950?\n\"Answer: k**3 + 23*k**2 + 4*k - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, 308104\/541?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -0.253 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -158287760\nAnswer: -3\/158287760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -9*k, -3*h - 3*k = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 19*g + 5801*g**2 + 10812*g**2 - 13*g + 1 + 660*g**2. Let m be x(-11). What is m rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/6)\/((-2)\/8). Suppose -16 = 2*k + 72. What is the common denominator of a\/(-4) - 32\/k and 47\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(1 - 1 + i**2 - i**2 + 2*i**2 + i**2 + (4 + 1 - 3)*(-i**2 + 2*i**2 - 3*i**2) + 26*i**2 - 16*i**2 - 16*i**2).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 17, -3, 3, 44 in ascending order.\nAnswer: -4, -3, -2, 3, 17, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/((-2)\/(-9)))\/1. Differentiate h*d - 10*d + 1 - 8 wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36635169 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 10. Let v be (8\/(-12))\/((-4)\/(-42)). Is 11 a factor of w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(sqrt(1377) + 5*(sqrt(1377) + 2)).\nAnswer: -162*sqrt(17) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5390 and -179\/48510?\nAnswer: 48510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1726545 to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179759\/68 or -2645?\nAnswer: -2645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/5 less than 3\/1588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - 0.055.\nAnswer: -1.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - z**2 - 3 + 1 - 6. Let x be j(-3). Let u(q) = -2*q + 44. Is u(x) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1213831*h**2*u**3 + 60733*h**2*u + 2*h*u**4 + 11*h*u wrt u.\nAnswer: -7282986*h**2*u + 24*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13453 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -704 + 2819\/4. Factor 15\/4*c + 15\/4*c**4 + 15\/2*c**2 + 3\/4 + 15\/2*c**3 + b*c**5.\nAnswer: 3*(c + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-75))\/((-21)\/70*(-28)\/63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455363?\nAnswer: 103, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20582911 divided by -3.\nAnswer: 20582911\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f = -33*f + 3*n + 30, 3*f + 23 = -2*n. Let q(x) = 4897*x + 73. Let s be q(f). What is s rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:53 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*8*(15\/4 + (-32)\/8). Solve -2*n = -c, -n = 12*c - 8*c + q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54 + -1 + (-2)\/(-1). Suppose -3*c = -r - 11. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1881, -0.4 in descending order.\nAnswer: 0.1881, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -6438 (b) -35 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + 2*x**4 - x**4)*(3 + 1 - 1 + (-3 + 5 + 1)*(-1 - 2 - 1) + 2 - 4 + 0).\nAnswer: 22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m**3 + 61*m**2 - 86*m - 11. Let d(w) = -3*w**3 - 12*w**2 + 17*w + 2. Let g(n) = -11*d(n) - 2*h(n). Let g(f) = 0. What is f?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4\/12 - o**3\/2 - o**2. Let q be y(3). Suppose 22 = q*j + 1. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*4 - -5. Suppose o + 17 = l*j + 41, 2*o = 6. Sort j, 0, -2.\nAnswer: j, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -53, -97, -177, -305, -493, -753?\n\"Answer: -2*z**3 - 6*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6*n + 11*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000004705 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 1:52 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 4*v**2 - 4*v - 2. Let a(g) = g**3 - 3*g - 2. Let l be a(-2). Let p be c(l). Is (-4)\/p - (-260)\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 55*c**2 - 52*c - 113. Determine d(54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105184 and 1140.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90463097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/10))\/(q**(-5\/2)\/q)*(q**(-1\/3))**(3\/16) assuming q is positive.\nAnswer: q**(347\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaarrriccc. Give prob of picking 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 3333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 98797776.\nAnswer: 197595552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2110 - 35?\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.092 and -1509279.\nAnswer: -138853.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*m - 53 + 53 + 2 - 2 - m + (-2 - 2 + 3)*(2*m + 0*m - m) to g*m + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 12. Let s = 80 + -54. Suppose 0 = 4*v - 2*h + s, -3*v + 3*h - 7 - 11 = 0. Is i at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 537*o**4 + 35*o**3 + 41*o**2 - 8387743*o?\nAnswer: 6444*o**2 + 210*o + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 962\/39853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 89588*p. Let c(v) = 4*v**2. Calculate h(c(s)).\nAnswer: 358352*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/30 and -143\/4908.\nAnswer: 24540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u, d = -4*u. Let k(t) be the second derivative of 0*t**2 + 0*t**3 + 1\/60*t**5 + d + 0*t**4 + t. Solve k(o) = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -7 - 10. Suppose -390 = 16*u - d*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*4\/(-114)*-2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/1442, 1, 3, -352?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -46377050 times -0.1\nAnswer: 4637705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**4 + 19*l**3 + 8*l**2 - 19*l - 12 = 0?\nAnswer: -4, -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5069037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d89 (base 14) to base 3.\nAnswer: -21102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164064.\nAnswer: 2, 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10759 - 10709. Solve -2*v + 14 = -2*y, o - 44 = 3*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -9. Suppose -v - 2 = 0, b + 11 = -w*v + 1. Suppose -4*p - 25 + 73 = b. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 23*d**6\/720 + d**4 + 28*d**2. Let z(a) be the second derivative of l(a). Let s(w) = -2*w. Give z(s(r)).\nAnswer: -46*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 524 + 176. Let f = -55 - i. Solve 4*r + 8 = -0*g - 4*g, -5*r = -f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 20, -4*y + 4*u + 394 = -498. Suppose -2*t - 3*q + 0 + y = 0, -5*q = t - 92. Is 9 a factor of t + -6*(-10)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465\/8 - 3\/8*h**2 + 39\/4*h = 0.\nAnswer: -5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -22 + 1. Let s(r) = -4*r**3 - 4*r**2 + 3*r - 8. Let g(w) = -7*w**3 - 9*w**2 + 5*w - 15. Let f(x) = 3*g(x) - 5*s(x). What is f(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -139575 and -0.001.\nAnswer: 139.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 80*q. Suppose 6*g - 46 - 20 = q. Solve 2*u - u = -2*m - 7, 4*m + g = -3*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -5 - 1) + (4 - -1) - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/2)\/3 - -3. Solve p*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1902*(-5)\/2 - -2. Suppose r + r = -3*j + b, -5*j = 5*r - 7925. Suppose -7*t - 558 + j = 0. What is t rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:52 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52888210 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -10642 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 35 = -2*h, 3*h - 5*a + 253 = 220 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2.6. What is the closest to -1 in 1, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-564)\/(-60) + 4\/(-10). Find the first derivative of j - 76*m + 76*m - 8*m**2 wrt m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 15*v + 15. Let z(r) = -3*r**2 + 16*r + 16. Let a(u) = 4*g(u) - 3*z(u). Let p be a(-10). Let t(s) = s + 4. Determine t(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -792 - -792. Suppose -4*t - k - 15 = 2*k, 3*t - 5 = k. Suppose t = -3*f - w*f. Which is the closest to 2\/7? (a) f (b) -0.5 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*c**4 - 1755*c**3 - 3*c**2 + 6*c + 91.\nAnswer: 168*c - 10530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 344\/602 + (-31)\/(-7). Solve 10*m - u = 15*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l - 4*l + 2 + 0*l + l**2 - 6*l**3 + l in the form t*l**3 + n*l + k*l**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**6\/660 - o**5\/132 + o**4\/66 - o**3\/6 - 2*o. Let r(x) be the second derivative of m(x). Suppose r(b) = 0. What is b?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j - 3*r + 18 = 0, -5*r = 25. Solve -5*b - j*b = -80 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*f**4*p - 2*f**4 + 19*f**3*p - 73*f**3 - f**2*p + 2*f**2 - 1195*f*p - 15*f wrt f?\nAnswer: 2424*f*p - 48*f + 114*p - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8 - -17901.\nAnswer: 17904.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (-12 + -23 + -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58956 - -104963. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 + -101. What is the greatest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2727\/10 - -273. Let m(j) be the first derivative of 1\/20*j**4 + 2\/5*j - x*j**2 + 4 + 0*j**3. Factor m(c).\nAnswer: (c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) + -5*(sqrt(171) + 1))*1 - (-2 + -1 + sqrt(171) + -5 + 4*(sqrt(171) + 2)))**2.\nAnswer: 2250*sqrt(19) + 39100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189038340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*j - j + 4*q, -2*j + 8 = -q. Solve 0*y = j*y - 10, -w + 2*y - 13 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (8 + -1 - -7 - (20 + -15 + 17))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.02, -1, -3, -0.1 in decreasing order.\nAnswer: 13, 0.02, -0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {y: 6, x: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3934 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 6:00 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(3\/8)*j*j**2)**(-39) assuming j is positive.\nAnswer: j**(-1755\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1642 divide 581478176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(-40) - (120\/(-64) - 2 - -4).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0*d**3 + 3\/2*d**2 + 0 + 1\/20*d**5 - 1\/4*d**4 + d. What is the units digit of g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*a + 4*u - 4, a = 2*u - 12. Let b = -3 - -7. Let n = 4 + -4.1. What is the nearest to n in a, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4212679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 - (1 + (-52)\/(-24)). Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Suppose -4*q + 42 = 5*h, s*q - 18 = 3*h - 0*h. Suppose 3*m + q = -0*b - b, -34 = -2*b + 4*m. Solve b*w + 25 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -198986, -397972, -596958, -795944?\n\"Answer: -198986*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 1044 - 1144 = 5*l, 0 = -3*m + 4*l + 107 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 857308 and 37982?\nAnswer: 6001156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Let s = v + -3. Let t be 3 - s - (-2)\/2. Solve -5*l + 3*l + t = 2*g, 8 = 3*g + 4*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640 - 19 = -0*l + 27*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 3 (c) 2 (d) 18 (e) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 175*j**5 - 427535*j**4 + 29710730*j**3 - 509551960*j**2 - 508949280*j + 30741120 = 0.\nAnswer: -1, 2\/35, 36, 2372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21649 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 6\/13, -0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1678 + -1681. Suppose 5*h - 4*g - 25 = 0, 7*h - 20 = 3*h + 4*g. Let m = 35 + -37. Sort -5, w, h, m in increasing order.\nAnswer: -5, w, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 274183585 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1122269429 to the nearest integer?\nAnswer: 33500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/24, 0, 2\/7, 6, -1\/106 in decreasing order.\nAnswer: 6, 2, 2\/7, 1\/24, 0, -1\/106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a + 20. Let m be g(-11). Let n(z) = 104*z + 3*z**2 - 7 + 2*z**2 - m*z + z**2. Is n(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1220 + -14?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10071973*a**2 + 4933407*a.\nAnswer: -20143946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 62778*m + 4. Let q be l(-18). Round q to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1164, -4532, -10146, -18006?\n\"Answer: -1123*k**2 + k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 2:32 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**22*j*j**(-19)*j)\/(j\/j**(-12)*j**(-11)) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5134 at least as big as 5136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151034236 divided by -75517118.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1944*f**3 - f + 46 - 1946*f**3 + 2420*f**2 + 0*f - 49 as p*f**2 + k*f**3 + i + l*f and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2439 = 5*z - 4*h, 3*z - 3*h - 807 = 657. Suppose -152 = 5*y - z. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/12)\/(-1))\/((-12)\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*q - 17, 3*x - 5 - 7 = 0. Is 55 a factor of ((-8)\/q + 0)\/(151\/34730)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7931 - 7931 + 37291*p**2.\nAnswer: 37291*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324491332?\nAnswer: 2, 11, 37, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4875\/(-364))\/25*1984\/1240.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -536424491 - 110\nAnswer: -536424601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2019 and 8370.\nAnswer: 5633010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(14\/(-3)))\/((-36)\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 6*p**2 + 2799*p - 19559. Calculate c(7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -113.29 and 0.00839.\nAnswer: -0.9505031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = z - 9. Suppose -i - 21 = -85. Which is smaller: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 40. Suppose s = 36*j - 33*j - 699. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -486253 divided by 73.\nAnswer: -6661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -345356 (base 8) in base 9?\nAnswer: -188140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 200*h + 25780. Give c(-104).\nAnswer: 4980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55526537 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, e: 1}. Give prob of sequence vv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lejeeueejeeejeuie. What is prob of picking 1 u and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 12 = -9*m. Suppose 357 = 3*w + v, -3*v - v = m*w - 228. Calculate the highest common factor of w and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*a**2 - 874*a - 12*a**2 - 10*a**2 - 46*a**2 to p + b*a**2 + n*a and give n.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)*(-15)\/(-6). Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -390 - -5848\/15. Sort -4, -0.08, k, -7 in descending order.\nAnswer: -0.08, k, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 507, 650, 807, 984, 1187?\n\"Answer: v**3 + v**2 + 133*v + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.8688 or 235.4?\nAnswer: 235.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2210 and -914?\nAnswer: -2019940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 12. Let l = z + -1. Let w = -16 + l. What is the closest to w in 1, -2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70554.\nAnswer: 2, 3, 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:31 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*c - 5*w, -4*w = c + 3*c - 4. Solve 3 = 4*a + c*k + 36, -2*a + 11 = -3*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(363) - sqrt(363)*-1) - (-3 + (sqrt(9)\/sqrt(3))**2).\nAnswer: -21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5372 + 0?\nAnswer: -5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18115727701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 - 12*o**2 + 12*o - 21. Let n(t) = -7*t + 63. Let i be n(10). Does 21 divide r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236489 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1615*h + 73*h**2 - 1615*h)*(-3*h**2 + 3*h + 0*h**2 - 2 - 2*h).\nAnswer: -219*h**4 + 73*h**3 - 146*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 + 29*w**3 + 150*w**3.\nAnswer: 189*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9288 by 3.\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -36. Let z be ((-2)\/y)\/(2 + -1). Which is the third biggest value? (a) z (b) -2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 = -2*n, f - 2*n = 12. Suppose -d + f*y - 16806 = -0*y, -2*y = 4*d + 67174. Is d\/(-12)*1 - (-4)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (282\/94)\/(2\/(-4)). Sort 4, 19, l, 0 in increasing order.\nAnswer: l, 0, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -475, -1122 in increasing order.\nAnswer: -1122, -475, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**2 + 15 - 92*p**2 + 11 - 20.\nAnswer: -78*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 31*r - 367. What is s(11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.96 - 0.04. Let g = r - -4.2. Let o = 2.5 + -0.5. Which is the nearest to -1? (a) o (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12531645 and 2.\nAnswer: 12531647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1464 + 112530*x**2 - 106879*x**2 - 1279*x + 1281*x wrt x?\nAnswer: 11302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -11548\nAnswer: 4619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -530840*c**3*n**2 + c**3 - 6*c**2 + 10*c - n wrt n.\nAnswer: -1061680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 282.4065 milliseconds?\nAnswer: 0.00007844625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24029\/4 + -6000. Which is greater: h or 1\/14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 1. Let r be p(2). Suppose -2*j + 3*j - 4*z = -6, r*j - z = 4. Solve k + j*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/81 + 14\/45.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 349489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*t + 2*v, -4*t - 26 = -6*t - 3*v. Put -5, t, 1, -3 in decreasing order.\nAnswer: t, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 412028 - 412127.0245. Let f = 99.34 + -0.34. Let w = q + f. What is w rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (13 + -61) - (23 + (17 - 38)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*((-105)\/28*4)\/(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 greater than -37\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45, 82, 137, 210, 301?\n\"Answer: 9*w**2 + 10*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + 0 - (115 - 111).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 174*q**2 + 35*q + 110. Is o(-4) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 6*f**2 + f - 5. Suppose -18 = -3*p + 2*i - i, -i = 5*p - 30. Let h be g(p). Let a be 3\/(-8) - 80\/(-640). Which is greater: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 191 + -199?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.169 - -2.751. Let s = g - -0.08. Let j be (-6)\/(-12)*(-2)\/3. Which is the closest to 1\/4? (a) j (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/24 and -71\/552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 18. Is 2\/39 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/488)\/((-1)\/(-1)). What is the third biggest value in -96, -1\/5, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10535 and 2145710.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 12:33 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -262249, 4, -41 in decreasing order.\nAnswer: 4, 3, -2, -41, -262249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 105?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/137 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 98.8? (a) -5 (b) 0 (c) 0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35895198*v**3 + 22733*v**2 - 606 wrt v?\nAnswer: -215371188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14928 divided by 1.\nAnswer: -14928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 685 - 624. Factor 40*t**4 + 182*t**5 - 60*t**5 - 44*t**3 - 57*t**5 - z*t**5.\nAnswer: 4*t**3*(t - 1)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -327961, -655899, -983833, -1311763?\n\"Answer: 2*f**2 - 327944*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 4*k**3 - k + 6*k**2 + 0*k + k**3 + 5. Let s be f(6). Which is the nearest to s? (a) 2 (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010073 rounded to five decimal places?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + g + 1. Let x(s) = 6*s**2 + 8*s - 6. Determine 4*n(k) + x(k).\nAnswer: 2*k**2 + 12*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-6))*y**1*y*y*(y*y*y*y**(2\/9)*y)\/((y*y**(-1\/7)*y*y)\/y*y*y) assuming y is positive.\nAnswer: y**(590\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(19899\/134))\/((-3*1)\/(-90))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 - 12.3. Let v = i + 13.99999856. What is v rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 7*c**2 - 1. Let l be j(7). Let z = 5 + -4. What is the tens digit of 10\/(l*(-2 + z))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*r - 312*r + 47*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6302 + -6149. Solve j = -14*o + 55 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d**2 - 9*d + 6. Let x(h) = -8*h**2 + 10*h - 7. Determine 6*x(t) + 7*y(t).\nAnswer: 15*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -6 - 4. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 less than 1\/390758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 94, 234, 428, 670?\n\"Answer: -h**3 + 36*h**2 - 21*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/4))**50*(k**(1\/4)*k*k)\/(k\/k**(-2\/3)) assuming k is positive.\nAnswer: k**(1057\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4334 and 7091212?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1881 and 5225?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/7, -2, 1.1, 0?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818050574.\nAnswer: 2, 11, 17, 2187301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-8)\/r)\/r)**(9\/11)*r**(4\/3)*r*r*r*r**0)**47 assuming r is positive.\nAnswer: r**(-3431\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 827560 divided by 680.\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 54181 and -199\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/167084?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehee when four letters picked without replacement from {t: 4, h: 2, e: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 316806 and 2919?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 1. Let f be o(-2). Let y(w) = -17*w - 6*w**2 + 3*w**3 + w**3 - 20*w + 4 + 38*w. Let u be y(f). What is u rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3920 - 11756\/3. Factor 2\/3*o**3 + 2\/3*o - s*o**2 + 0.\nAnswer: 2*o*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 1, f: 1, w: 1}. Give prob of sequence bw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 476 and 6828?\nAnswer: 812532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 j when three letters picked without replacement from {c: 2, j: 1, k: 4, z: 12}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/2394 and 23\/18.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22749 - 22746. Let z = 3 - 21. Which is the second smallest value? (a) 4 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1 + (4 + 1 + 2)*(0 - 3 + 2))*(-3*q**2 + q**2 + q**2 + (4 - 4 + q)*(5*q - 2*q - 4*q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16073 times 0.03766\nAnswer: -605.30918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*v**4 - 7*v + 2*v - 43*v**4 - v**5 + (0*v + 0*v + 2*v**2)*(2*v**3 + 0*v**3 + 0*v**3) - 3*v**5 + 3*v**5 - v**5.\nAnswer: 2*v**5 + 5*v**4 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3 (b) 4\/7 (c) 17 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)\/(w\/w**(8\/5))*w**(-9\/2)\/(w**(-16)\/w) assuming w is positive.\nAnswer: w**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 4*c + 11. Let x(v) = -12*v - 2. Calculate x(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 132?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52828 is divided by 26414.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - j + 1, -12 - 7 = j - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -9\/8, -10, -6, 0.4, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*a - 1. Let k(m) = -3 + 6*m**a + 0 - 2 + 12. Let z(g) = 4*g**2 + 5. Calculate 5*k(x) - 7*z(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 + 3*b**2 - 4*b**2 + (3 - 6 + 2)*(-4*b**2 - 3*b**2 + 5*b**2) - b**2 + 3*b**2 + b**2 + b**2 - 3*b + 3*b.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125437793.\nAnswer: 13, 9649061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27230*u - 47*u**2 - 27230*u)*(6*u**2 - 8*u + 8*u) + 2*u + u**4 - 2*u.\nAnswer: -281*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(d**(-3\/2)\/d*d))*d\/(d*d**(-3\/23))*d assuming d is positive.\nAnswer: d**(29\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 99*p**3 - 104*p**3 - 4*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3230217, -3230221, -3230227, -3230235?\n\"Answer: -b**2 - b - 3230215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5290684 + 5*x**2 - 5290644 + 10581328.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14774.\nAnswer: 2, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 32184.\nAnswer: 32184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214728 = 723*z + 3607*z - 51260 + 14062 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -225, -544, -1097, -1884?\n\"Answer: -117*h**2 + 32*h - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1133320 by -5.\nAnswer: -226664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 23*f**2 + 19*f - 19. Is r(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10 - -3)*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1493706 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7)**(1\/42)\/(f**7)**11 assuming f is positive.\nAnswer: f**(-461\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2910\/(-1485) - (-4)\/22) + 2. What is the biggest value in x, 1\/8, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10405*t - 5324*t - 5081*t + 4*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1151.4 to the nearest ten.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -368812.\nAnswer: -368812.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -3\/5, 1\/10, 5\/1191.\nAnswer: -3\/5, -0.3, 5\/1191, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) - 2304\/(-126). Let s = 12 - v. Let b be (s - -7)*0\/(-1). Solve 4*q - 3*z = 23, b*q = 3*q - 3*z - 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107877*i**2 - 52092*i wrt i?\nAnswer: 215754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 - -299. Let i = 257406 + -257407. Put 0, q, i in descending order.\nAnswer: q, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + -48 + 51.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-56929.\nAnswer: 28464.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-838 - -808) + -2 + (1 - -1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152*f**3 - 6*f**2 - 2*f wrt f?\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 86\/((-50)\/4*(-180)\/1125)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800199 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*a - 38, -93*d = -92*d - a - 1. Solve 17 = d*u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 739883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10798?\nAnswer: 2, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 78567.3581 rounded to the nearest 100?\nAnswer: 78600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70.6 - 75. Let y = 0.62 + -5.42. Let r = x - y. What is the nearest to 2\/55 in r, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037484 to 5 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 u when four letters picked without replacement from ujuuuujmuumj.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 - 170.047. Let b = 0.047876 + c. What is b rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqfufequfp. Give prob of sequence fepq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -6, -5, 7\/5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -415*v + 9960. Let z(l) = 4. What is -5*a(u) + 12450*z(u)?\nAnswer: 2075*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9320.507 minutes?\nAnswer: 559230.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + -5 + -1*(sqrt(1573) + 1) + 5*(sqrt(1573) + -1)*6.\nAnswer: -34 + 319*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/78 - 2*v**3\/39 + v**2\/13 + 5*v - 94. Factor r(n).\nAnswer: 2*(n - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 2*b**2 + 10*b + 17. What is the tens digit of w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/450*-24*(-54)\/48.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 7914*c**3 - 23763*c**2 - 15846*c.\nAnswer: 3*c*(c - 2641)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 8 - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*29.55\nAnswer: 1.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:48 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + (-4 - -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/88 and 39\/496?\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13443799.\nAnswer: 23, 59, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 7894754 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -13.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 - 4*q + 1. Let i be v(1). Let w(y) = 2*y**3 - 6*y**2 + 4*y - 11. Does 3 divide w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**3 + y**2 - 9*y + 28. Let x be c(-13). Let z = -27793 + x. Round z to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 352*v**2 + 12*v - 5 wrt v.\nAnswer: 704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 119159438.\nAnswer: 357478314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10489.8 (b) -0.4 (c) 1\/18 (d) 1 (e) 0 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -j. Suppose 5 = 5*m - 15. Calculate the lowest common multiple of m and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5743 and 109117.\nAnswer: 109117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3\/14, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.222 - 0.062. What is n rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z*z**(-4)\/z)*z)**(2\/15)*z**24*z\/z**(-4\/13))**(4\/7) assuming z is positive.\nAnswer: z**(6788\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1343391985 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 1489 - 1489.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 3*y = 114, -108*c + 106*c + 36 = y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -7*m + 3. Suppose 0 = -m*y + 32 + 22. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 + 42. Let d = s - -48. What is the biggest value in 1\/3, 3\/4, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 + 6485*s**3 + 32210*s**2 - 116640*s - 465120 = 0. Calculate s.\nAnswer: -1292, -6, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1123233214 - -10?\nAnswer: 1123233224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 408*v**2 + 774*v + 92. Give c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 0, 3*i + 248 - 239 = 4*w. Put 8, w, -2, -38, 1 in descending order.\nAnswer: 8, w, 1, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -12. Let l be (-1 + 3)\/((-3 - -4)\/1). What is the third derivative of -1023*w**3 + 508*w**z - 20*w**5 - 13*w**l + 515*w**3 - 2 wrt w?\nAnswer: -1200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -0*z + 3*z + 2*n, 4*n = 3*z + 29. Suppose -3*h + 28 = -7*h. Is z not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 487 (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 33*s. Let v be j(-9). Let k be v\/15 + 3\/(-15). Are -21 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1147*t - 1230*t + 1162 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9610766.\nAnswer: 2, 11, 436853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-115)*(30\/9 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:49 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2\/3 - 1642*y + 4920 = 0.\nAnswer: 3, 2460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 125. Let f = -983 + 875.8. Let y = f - x. Which is bigger: y or -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5474883875.\nAnswer: 5, 751, 58321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 7. Let m be w(5). Suppose -2*c + 4*u + 0*u = -40, m*u = -8. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:17 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 66 = -46. Suppose 0 = -z - 13*z + d. Suppose -252 = -2*a - z*g, a + 369 = 4*a + 3*g. Calculate the greatest common factor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/2 in -23\/131, -5, -9, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-20) - 4\/(-10). Suppose 0 = k*i + 3*l - 50, i + i - 5*l = 18. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-24) + (-1)\/(-3). Let w be 2 + 1\/(2\/4). Solve u*d + 2*h + w = d, 0 = 3*d - h - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120101012 - -212022221?\nAnswer: 21221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 791 = -4*p, 0 = 4*p - 0*p + 20. Let m = -129 - d. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 303, 284?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*h + 3392 = -45*h + 188*h + 502 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -2\/41 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwow. Give prob of picking 1 w and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 199*q**4\/24 - q**3\/6 - 127*q**2 - 14. Let k(t) = -12*t**2. Determine k(a(c)).\nAnswer: -475212*c**2 + 4776*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2598553*d**6 - 18711911*d**2 wrt d.\nAnswer: -311826360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 727021849 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 410 and 65?\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - 2) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 4. Let l = -1 + 4. Suppose -l*v - 10 = 4*h - 5, -4*v - 4*h = 0. Suppose -4*u + 21 = 3*g, 0 = -v*g - 2*u - u + 24. Calculate q(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-45))\/(6\/(-12)))\/((-22140)\/(-2050))\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, -7, -9 in descending order.\nAnswer: 0, -4, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 38*h - 2. Let t(a) = -35*a**2 - 455*a - 25. Give 25*r(c) - 2*t(c).\nAnswer: -5*c**2 - 40*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)*4 + sqrt(66) + sqrt(66))\/(sqrt(12)\/sqrt(50)).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 8:30 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(204)*-1)\/sqrt(12)*-6)**2 + -3.\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)*l**(2\/19))**41 assuming l is positive.\nAnswer: l**(-328\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdd when three letters picked without replacement from fffdfdfdff?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -454*p - 15455. Give v(-34).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -11*j + 23*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -3*f**4\/8 + 5*f**3\/3 + 2*f**2. What is the derivative of x(v) wrt v?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 88*c - 877. Is n(16) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 28*s + 69. What is f(30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 9:24 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-6*(sqrt(130) - -2*sqrt(130)))\/sqrt(10) + (0 + sqrt(208)*-1)**2).\nAnswer: -108*sqrt(13) + 1248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1116 and 223758.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -30470*(2 - (-28)\/(-10)). Let c(s) = j*s + 136940*s - 5602*s - 2. Let h be c(-7). What is h rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let g be 2\/z - (-2)\/3. Let q be 1 - (-2 - (g - 3)). Is -0.05 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 29. What is the second derivative of -7 + 1 + i - 9*t**2 + 12*t wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*v - 2*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(405) + 1).\nAnswer: -18*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 - -1.3. Let n = 861 - 860.84. Which is the second smallest value? (a) q (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3069.6 - -3069.8. What is the third biggest value in c, 6, 7\/15, -11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 22101112000?\nAnswer: -22101111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 173*a + 1\/12*a**4 + 0 + 0*a**2 - 151\/20*a**5 + 10\/3*a**3. Find the third derivative of w(v) wrt v.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by (4\/12 + 1)\/((-2)\/(-27)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from yttyyttyyytt?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -97. Let h be -1 - x - 161720\/(-13). Is h\/6*(1 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1297*i**2 - 1912*i wrt i.\nAnswer: -2594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 11*m + 6. Determine c(15).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108206 = 1406*q - 37906 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*v + 11 = 0, 0*w + 3*v = 5*w + 9. Let r be -1 + (-4)\/(4\/3). Sort w, -5, r in descending order.\nAnswer: w, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j - 70 - 83*j**2 + 34 + 38.\nAnswer: -83*j**2 - 32*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/7393?\nAnswer: -2\/7393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + -3 - (-677 - -602)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220645 - -265?\nAnswer: -220350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 215\/6*(-36)\/(-8). Suppose -3*g + p - 4*p = 480, 0 = 5*p. Let d = v + g. Which is smaller: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(36\/8))\/(28\/(-63)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + sqrt(5) + 0) - ((sqrt(5) - (sqrt(405) + 1)) + (-1 + sqrt(720) + sqrt(720) - sqrt(720)))**2)*4.\nAnswer: -352 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 15*j - 700. Suppose 0*l - j = -5*w + l, -3*w + 2*l = -37. What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -8\/5*b**5 - 1\/3*b**3 - 11*b - 15*b**2 + 0*b**4 - 1. What is the second derivative of j(h) wrt h?\nAnswer: -192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/22 and 55\/191058.\nAnswer: 2101638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let i be y(5). Let l be 4\/12 - 11\/(-3). Suppose u + 266 = l*b, u - 3*u = -i. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 1\/12*i**4 + 58*i**2 + 0 - 1\/60*i**6 + 1\/6*i**5 + 0*i - 5\/3*i**3. Factor v(h).\nAnswer: -2*(h - 5)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084634.\nAnswer: 2, 17, 19, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l**2 + 7*l. Let t(p) = -5*p**2 + 5*p. Let i = -17 - -10. Let n(s) = i*t(s) + 5*j(s). Let a(z) = z**2 + 0*z**2 + z**2. Calculate a(n(g)).\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -22*f - 4. Let t(a) = 43*a + 7. Suppose -23*k + 7322 = 7460. Calculate k*t(b) - 11*h(b).\nAnswer: -16*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n + 44. Let d(m) = 2*m - 15. What is -8*d(t) - 3*h(t)?\nAnswer: 2*t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 23. Let l = -5 + r. Suppose 0*x = l*x - 63. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 602620*v + 21700800.\nAnswer: -5*(v - 36)*(v + 120560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.12 + -26.12. Which is the closest to 0? (a) 4 (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-3)\/(-2))*45\/(-10). Which is greater: y or 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/9)\/(-10*76\/(-11400)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35\/2438 - 5\/53. Suppose 143*d - 18 - 2 = -20. Is f > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 549639619*m**3*o**3 + 55*m**3*o**2 + 1774*m**3 + 2*m*o**2 + 35*m - o - 2 wrt o?\nAnswer: 3297837714*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t + 0 - 8*t - 1 + 3 + 26*t to m + x*t and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014905 rounded to 4 decimal places?\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irr when three letters picked without replacement from {r: 9, i: 5}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3, -4, 67, -1683 in decreasing order.\nAnswer: 67, 4, -2, -3, -4, -1683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 9411810 and 9411807 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*o = -22, -5*o - 2 = 3*w - 4*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (-5)\/20. Which is the second smallest value? (a) -3 (b) 1 (c) -2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**5\/30 - s**4\/6 - s**3\/6 - 5*s**2 - 50*s. Let r(y) be the second derivative of p(y). Let u(d) = -2*d. Determine r(u(i)).\nAnswer: 8*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24083, -24076, -24057, -24020, -23959, -23868, -23741, -23572?\nAnswer: -23355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/111670 and -163\/824640.\nAnswer: 10720320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -2)*2\/3. Suppose 6*k - a*k - 64 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 573\/(-81) - (-108)\/1458.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 102, 4\/7 in descending order.\nAnswer: 102, 4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Let q = -2 - x. Let n(w) = -w**3 - 8*w**2 - 8*w + 1. Let z be n(-7). Solve 0 = 3*j - v - q - z, j - 1 = 2*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3232\/17157 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401665847 a multiple of 1450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/27894?\nAnswer: 1\/27894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:59 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 978\/491 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b*b*b**(4\/3))\/b*b**(3\/5)*b**0*b*b**(2\/17) assuming b is positive.\nAnswer: b**(1288\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 47378*m**3 - 3 + 48313*m**3)*(-m - 3*m + 5*m) as b*m + v*m**3 + k*m**2 + l + t*m**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 times 1?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 137892208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(24)\/(1*sqrt(8)) - sqrt(27)\/sqrt(81)) + 5).\nAnswer: 2*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/4 - 175055*h**2\/2 + 4025736*h = 0. What is h?\nAnswer: 0, 46, 350064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5455140 and 52260.\nAnswer: 70916820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8157.\nAnswer: 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 70*p + 4. Let x(t) = 23*t + 1. Let y(h) = -2*l(h) + 7*x(h). What is the tens digit of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/11238 and 70\/3.\nAnswer: 11238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -388, -11, 2 in descending order.\nAnswer: 2, 0, -5, -11, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 34 = -68*k + 67*k, 0 = 3*m - 2*k + 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 10, -5*l + z - 13 = 22. Let y = l + 13. Let q(p) = p**2 - 4*p + 3. Calculate q(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 1\/4, -5\/59, 3\/2, -5\/14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947188698.\nAnswer: 2, 11491, 128239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/11 and -5\/80210328.\nAnswer: 80210328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 9488087.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02279 + 0.08.\nAnswer: 0.10279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2. Let p(x) be the second derivative of x**5\/20 + 3*x**2\/2 - x. Let b(r) be the first derivative of p(r). Calculate n(b(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 8*x - 75 + 22*x - 2*x - 6*x.\nAnswer: -x - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 1783*p**4 + 6119*p**3 - 377*p**2 - 6114*p + 2160 = 0. What is p?\nAnswer: -360, -1, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -110.051. Let w = 3.051 - v. Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 4, 1 in increasing order.\nAnswer: -1, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**4 + 12*f**3 - 7*f**2. Let c(n) be the third derivative of -n**6\/24 + n**5\/20 + 2*n**2 + 63*n. Let w(r) = -5*c(r) - 3*h(r). Factor w(b).\nAnswer: b**2*(b - 3)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22014 divided by 2898?\nAnswer: -1223\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.44*-7.9.\nAnswer: 11.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 192*y - 7 - 11*y**2 - 192*y wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635560, -635556, -635550, -635542, -635532?\nAnswer: -635520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100537*v + 200682*v - 100139*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610 a factor of 39627755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121213 + -101011?\nAnswer: 20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1580)\/(-1185))\/(110\/(-540)).\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p - 5 = 46*p. Suppose 39 + 59 = 5*o + d, o - 34 = -p*d. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 36 - -18) + -3 + 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*s - 404, -2*q + 7*s - 202 = 2*s. Let v = 169 + q. Suppose -i + 0*i = -v. What is the highest common factor of 170 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -16. Solve 2*d - z - 4 = 0, 2*z = 2*d - a*z - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 47. Let d = 20 - t. Let j = -2 + 3. Which is the third smallest value? (a) d (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -0.06 (c) 822.5 (d) -1\/3 (e) 5 (f) -369\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-18))**(-42)\/(((i*i**(-2\/3)*i)\/i)\/i**(1\/9)) assuming i is positive.\nAnswer: i**(-7184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 654010, 654011, 654022, 654049, 654098, 654175?\n\"Answer: h**3 - h**2 - 3*h + 654013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36.1, 18.3, 0.5 in decreasing order.\nAnswer: 36.1, 18.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33.8 * -3\nAnswer: 101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 36 + -35 + 103 + 8 + 1?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04685362 to 3 decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 108, 110, 112, 114, 116?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10b40 (base 13) to base 11\nAnswer: 20992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13364 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3156 + -963.3156. Is 7 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 102152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, p: 6}. Give prob of picking 2 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0052447476+0.173\nAnswer: 0.1677552524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44 (b) -0.1 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -88*y**3 + 7*y**2 - 13*y - 25. Is j(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.28 + 415176.\nAnswer: 415185.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*m + 4 = -94*m. Sort 4, m, 0, -3 in increasing order.\nAnswer: -3, m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5952*z**3 + 2*z**2 - 29412*z.\nAnswer: -35712*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 - 132098832*n - 4362525353941056 = 0. What is n?\nAnswer: -66049416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -142*y - 1432. What is b(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41590 by -8318.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/7 in -0.03, 1\/4, -2\/445, -2, -0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.11*1.\nAnswer: -32.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136432915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 0 - 97*l - 1\/2*l**2 = 0?\nAnswer: -194, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*n - 67*n - 237*n - 96*n in the form h*n + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 - 55\/(-21) - (-23813)\/(-71439)?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 21*x**3 + 150*x**2 + 23*x + 14. What is w(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let f(p) = 14*p + 6. Let h(o) = -f(o) - 5*i(o). Let x(d) = 18*d + 13. Let q(v) = 5*h(v) + 2*x(v). What is the first derivative of q(z) wrt z?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laimmilill. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/216 and -133\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) + 42\/4. Suppose -4*i - h + 54 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**4\/9 - 19526*m**3\/3 - 47687360*m**2 - 428659200*m = 0.\nAnswer: -14640, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 4:50 AM?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -14*k - 23. Let z = -374 - -372. What is the remainder when 62 is divided by o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 45 = -5*l, -j = 3*j + 2*l - 18. Suppose -3 = -3*t + j. Solve 0*a = -a + t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*-3)\/(41\/(8856\/243)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13921155 and 3285.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1432216 or -20?\nAnswer: 1432216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1720, 13623, 45936, 108865, 212616, 367395, 583408, 870861?\nAnswer: 1239960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108\/19 + -2164\/247. Let r = 1718\/533 + j. Is r at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1697515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqiqnqqqqqnnqiqonq. Give prob of sequence qio.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3134.39 - 3104.5197. Let t = y + -29.9. Round t to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 39. Let s = -18.509347 - 0.490103. Let c = s - p. What is c rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1158146 or -1158145?\nAnswer: -1158146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(500) - -6*(1 + sqrt(500) - sqrt(500)))*-6 + 2 + (sqrt(500) - (-3 + (2*sqrt(500))**2)) + 2.\nAnswer: -2029 - 350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 4*s + 6, 6*s = r + 11*s - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -735*b**2. Let r(d) = -8847*d. What is r(m(q))?\nAnswer: 6502545*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 60\/(-18) + (-2)\/3. Put -26, 4, i in decreasing order.\nAnswer: 4, i, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12737436251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11469062.\nAnswer: 2, 11, 79, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 61*s + 464. Calculate g(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433.4991ug to kilograms.\nAnswer: 0.0000004334991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j - 14*j**3 + 3*j**3 + 42*j.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 9*b**2 - 5*b + 2. Give n(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (37 - (84 - 48)) + 1 + 0 + -21\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*k - 276, -369 = -3*k + 5*f + 71. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1) + 1*-1. Let x = 332 - 336. What is the nearest to q in x, -9\/5, 1?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 43 = 5*w - 2*y, 3*w - 5*y - 80 = 0. Let t = -27 + w. Sort t, -12, -1 in descending order.\nAnswer: t, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**4\/32 - 41*j**3\/24 + 55*j**2\/2 - 50*j - 71. What is v in s(v) = 0?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-9)\/(297\/2)). Is 3\/6*u\/3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5796184 and 567018.\nAnswer: 52165656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*o - 1434*o + 470 = -46 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 708 + -2. Is w a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(2\/5)*p)**(-2))**(-2\/7))**(-28\/3))**(-11) assuming p is positive.\nAnswer: p**(1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16999\/6 - 5\/15*9. Let p = d - 2819. What is the common denominator of 165\/42 - (-4)\/14 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-78 + (-3 - -5) - 3) - (-555 - -563).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109990073 is divided by 4039?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1559 - 542 = -4*v + 3*l, -l + 255 = -v. Let m = -186 - v. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80*g - 142.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r + 2. Let n be g(-2). Suppose 3*v = 3, f = -3*f - n*v + 10. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1422 divided by 79\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b = 48*b + 231. Sort b, 98, -2.\nAnswer: -2, b, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 275\/(-10). Let j be (-1)\/((k\/(-16))\/(-7)). Let s(f) = -f**3 + 4. Let o be s(0). Solve 0 = -2*l + o*l + 2, -4*q - 4*l = j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/(175\/14).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3618*d**3 + 1324184*d**2 - 121161738*d - 133956.\nAnswer: -2*(d - 183)**2*(1809*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n. Let o(q) = q**3 + 6*q**2 - 4. Let l be o(-6). Let v be t(l). Suppose -v = -4*m - 0*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -5*u - 9, -5*o = 5*u + 10. Let f = u - -4. Suppose -2*i = -4 - 6. Solve i = -f*w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/65 - ((-16775)\/(-122))\/(-55)*(-604)\/(-13).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 167964*r + 21266912.\nAnswer: 4*(r - 41864)*(r - 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4285 + -1981. What is the highest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**37 assuming l is positive.\nAnswer: l**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 - 3*o**2 + o**2 - 57 - 30*o**3 - 3*o**3.\nAnswer: -33*o**3 - 2*o**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:46 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532 divided by 7.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2126)\/(-8) + 4\/(-7 - -23) is divided by 77?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 1. Let u = -30 + 37. What is i(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/3 (b) 2\/7 (c) 2\/77 (d) 0.1 (e) 3 (f) 129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31718*u + 31718*u - 37*u**2.\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 9 - 5. Suppose -2*a = -x - l, -x - a + 0*a + 1 = 0. Let m(f) = -f**3 - 4*f**2 - 2*f + 5. Give m(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 294, 723, 1474, 2637, 4302, 6559, 9498?\nAnswer: 13209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 > 2803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 + 7.6. Let b = -13.1 + 4.1. Let r = b + v. What is the nearest to r in -0.4, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 48. Let d(x) = x**3 - 7*x**2 - 6*x - 8. Suppose 2*s - 8 = 8. Calculate the lowest common multiple of d(s) and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p\/(p\/(((p*p**(1\/4))\/p)\/p)))\/p)**35)**(-15))**(-7\/3) assuming p is positive.\nAnswer: p**(-3675\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 - 3*t**4 + 22*t**3 + 90*t**2 + 27*t - 135.\nAnswer: -(t - 5)*(t - 1)*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1017905406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 7, p: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-3\/2)\/y)\/y*y)\/y)\/y*y**(-22))\/(((y*y\/(y*y*(y\/(y\/y**18))\/y)*y)\/y)\/(y\/(y\/y**(1\/2)))) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 15*m**3 - 6*m**2 - 44*m**3 - 13 - 3*m**2 as f*m + v*m**3 + a + x*m**2 and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(198))\/(3*sqrt(6)\/sqrt(3)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494 times -17447?\nAnswer: 26065818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -146 + 156. Solve 0 = -5*t - 0*t - c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c - 6 + 6 + 51*c**2 - 6*c**2 - 3*c**3 = 0. Calculate c.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:53 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7409\/3 + 2435. Which is bigger: -36 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53637277 or -53637276?\nAnswer: -53637276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 795792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2010\/144 - 14)\/(3\/9 + (-12)\/54).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -43*x - 498. What is h(-8)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1701\/21 - (0 - -1) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 6 (c) 10 (d) -0.2 (e) -566 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) + sqrt(80)\/sqrt(8) + sqrt(10)) + (sqrt(7) - sqrt(21)\/(sqrt(3)*-1)).\nAnswer: 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 33*r - 151932 = 6*r. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4093 + 302881\/74. Put 0.3, -14, k in decreasing order.\nAnswer: 0.3, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -9*d**4 - 21822*d**3 - 8728191*d**2 - 14500938*d - 5794560 = 0.\nAnswer: -1920, -503, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**5\/20 + m**4\/6 - m**3\/3 - 3*m**2\/2 - 31*m + 36. Let f(x) be the first derivative of k(x). Give f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7 = -3. Let w(y) be the first derivative of 75*y**2\/2 + 7*y + 2208. List the prime factors of w(u).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, r: 2}. Give prob of sequence br.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -18*f**2 + 7*f**2 + 7*f**2 + 4*f**2 + 5*f**2. Let j(s) = -s. Let r(p) = 8*p. Let y(o) = -35*j(o) - 5*r(o). What is h(y(x))?\nAnswer: 125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 1. Let j be s(-1). Let m be -4 - (-95 + j - 2). Suppose x + 11 = m. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**2 - 2*d**2 - 6*d**2 + (32 + 38 + 23)*(-1 + 1 - 2*d**2).\nAnswer: -189*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04288, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6654409529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321477, -642928, -964381, -1285836, -1607293, -1928752?\nAnswer: -2250213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14468 + -14467.99985019. Round p to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1261 divide 1182177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3818)\/166)\/(1\/(-1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 32 = i - 2*s, -2*s = 2*i + 62. Let c be -7*(-7)\/((-98)\/(-24)). Is (108\/(-16) - (-9)\/c)*i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 10*c + 4*c + (-c + 3*c + 0*c)*(-7 - 2 + 10).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (208 - 17*a**2 - 208)*(5*a - 3*a - 4*a + (-2 + 3 - 3)*(0*a + a - 3*a) + 3*a + 2*a + 0*a) in the form d*a + v + q*a**2 + l*a**3 and give l.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*q = 20, 0*q - 2*q = 3*h - 8. Solve -5*o + h = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -6624, 0.5 in decreasing order.\nAnswer: 0.5, -0.5, -6624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9 = 2*f, -19*f - 2*t = -24*f + 22. Suppose -3*a = -5*z - 18, 0*a = -4*a + 5*z + 19. Solve -4*o = 2*v - v - f, -o - 4*v = -a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/3 - 6*s**3 + 331*s**2\/3 + 976*s - 2340 = 0?\nAnswer: -26, -9, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z + 3 - 3. Let m(l) = -5*l. Suppose -19 - 35 = 9*s. Let b(k) = s*u(k) - 7*m(k). Let g(i) = -4*i. Calculate g(b(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 4*p - 12, 0 = -2*u - 5*p - 0*p + 21 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 2*f**2 + 5*f**2 + 0*f**2 as m*f + n + q*f**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256952 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 28*i**2 + 3*i - 779. Give n(-26).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708 - 9984 = -845*i - 78 + 19532 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v**2 - 6*v + 5. Let c(x) = -18*x**2 + 11*x - 10. Let s(p) = -11*a(p) - 6*c(p). Let b(y) = 4*y. Give s(b(m)).\nAnswer: -32*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/(242\/(-1694))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 5056?\nAnswer: 25280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-7\/4)*w*w*w**(3\/7)\/w*(w**(-2\/51))**(-4\/15) assuming w is positive.\nAnswer: w**(14759\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2010?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575079046?\nAnswer: 2, 287539523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 67*n - 6. What is the tens digit of b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgjj when four letters picked without replacement from gjgjggggjgjj.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 13 - 11. List the prime factors of (x\/24)\/(2\/(-1112)).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 35*n**2 - 44*n - 286. Suppose -3 = 4*p - 19, -60 = -4*y + 3*p. Calculate the lowest common multiple of q(-36) and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 2254?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 32*g + 21. Suppose 361*k + 367*k - 744 = 752*k. Give o(k).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -2, -1, 0, 1, 2?\n\"Answer: v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 + 162. Solve d*s - s = -5*p + 13, -p = 3*s + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 38. Let u be (-276)\/34 - (-32)\/272. Calculate the least common multiple of s and 1 + -1 - (-2 - (-6 - u)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.27 (b) 243 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, g: 2, x: 3}. What is prob of picking 1 x and 3 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-15))\/((-4)\/(-30)). Suppose -h*n + 3*d = -33, n - 3*d + 1 + 2 = 0. Calculate the highest common factor of 45 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 1606 + 911. Let o be 2804\/(-10) + 4\/10. Let s = g + o. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**3\/3 + 2*f**2 + 2*f + 2. Let m(a) be the first derivative of k(a). What is the lowest common multiple of m(6) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 + 60965396*u**4 - 67800378*u**2?\nAnswer: -60*u**2 + 1463169504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/((2263\/1095 - 2) + (-106)\/(-210)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195022527 and 8715.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.59287 + -4301.\nAnswer: -4302.59287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2988 and -0.1.\nAnswer: 298.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*b - 2*b**3 - 24 + 50*b - 123*b + 64*b - 20*b**2.\nAnswer: -2*(b - 1)**2*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from ncen.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1850 - 4*k**2 - 3810 + 1866)*(0*k - k + 4*k).\nAnswer: -12*k**3 - 282*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 195*m + 25*m + 4*m**2 - 24*m - 200 = 0.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 174 - 20. What is the units digit of ((-1776)\/11)\/(-3) - 14\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(72))\/((sqrt(4)*2 - sqrt(4))*2) - -2*((-1*sqrt(72))**2 - (sqrt(24)\/sqrt(3))\/sqrt(4)).\nAnswer: 5*sqrt(2)\/2 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than -7\/584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3994515490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 76 = -4*o, -55 = 3*b - 5*o - 30 - 3 + 54 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/67?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37764*b**4 + 11*b**3 + 74*b + 88749583?\nAnswer: 151056*b**3 + 33*b**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35414*u**2 + 6*u + 6184?\nAnswer: -70828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 1.47?\nAnswer: -65.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95167.\nAnswer: 59, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-185)\/(-74))\/(5\/122882) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-38)*900\/105)\/(15\/10). Suppose -8\/19 + f*b - 124\/19*b**3 - 90\/19*b**4 + 14\/19*b**2 = 0. What is b?\nAnswer: -1, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00258128906 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2. Let r be 7 + (-2 - -3) + 1. Let w(q) = r*q - q + 1 - 1. Give w(d(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41393\/13302 + 1\/1478. Let p(v) = -40*v**3 + v**2. Let x be p(-1). Calculate the common denominator of (-1)\/(-4) + x\/28 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21.8 and 1561?\nAnswer: 34029.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 + 381 = o + 2*g, -4*o = 6*g + 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -49*i + 22*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132 - 0\/2 - 2. Suppose 3*r - 4*z = w - 20, 2*r - 3*z - 74 = 0. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 t when three letters picked without replacement from lnrtgttt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 5*r - 76 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 16) to base 5.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u. Let y(x) = 17*x. Let g = 14 + -11. Determine g*y(i) + 8*j(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + (-1 - 6 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 12\/(-4) + 3. Let d = 0.37 + 0.03. Which is the third smallest value? (a) n (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 - -330444401?\nAnswer: 330444233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, 1, -4, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 1280 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1150 and 50945.\nAnswer: 509450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 = -8. Let o(k) = -k + 8. Let j(x) = -x + 9. Let g(v) = h*j(v) - 2*o(v). Let c be g(12). Let a(d) = -2*d**3 + d + 1. Determine a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 15. Let k be o(7). Is 2\/4 + 429\/k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -2)*-4 + -3. Suppose -3*u + y*u = -484. Is 3\/4 + u\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 26244*c - 26241*c + 1.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/4 (b) -0.002 (c) 0.1 (d) -1.38 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16277068, -16277069, -16277070, -16277071?\nAnswer: -16277072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299, -28, 701, 2116, 4445?\nAnswer: 7916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*f + f + 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -7. Sort 3, -2\/3, s in descending order.\nAnswer: 3, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.2553 - -7.9043. Round z to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, 276, 5, 16\/23, 2\/7, -2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**5 + b**5 - 7*b + 4*b wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42306 (base 10) in base 15?\nAnswer: -c806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1256 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036000066 to six dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*p = -1940 - 3718 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 3. Let x be o(-5). Let v = x + -4. Suppose 6 + 6 = -3*g. Which is the second biggest value? (a) -2\/19 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 24. Let x = -8 + n. Which is the closest to -1? (a) 1 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + o - 2*m + 8 = 0, -5*m + 20 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 51222308.\nAnswer: 51222313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + -14 - (-4 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*sqrt(11)*-3.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/1011 - -1009\/2022. Which is smaller: s or 2011?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.185925 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(88) + sqrt(88)*-3*-3)*5)\/((sqrt(8) - (sqrt(8) - (-2*sqrt(8) + sqrt(8) - sqrt(8))))*-5 - 3*-3*sqrt(8)).\nAnswer: 250*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1700) - (sqrt(1700) - (sqrt(1700)*-1 + -2)))*-1)**2 + (-4*(0 + sqrt(272))*6 + 2)**2.\nAnswer: 1056*sqrt(17) + 218020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 37?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 3*n = -2*f + 8, 2*n - 5*f + 20 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7746171 divided by -7746171\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -4*l - 30. Factor -3\/2*m + 1\/2*m**l + 1.\nAnswer: (m - 2)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**2. Let o(h) = 1 - 34*h + 36*h - 1. Give i(o(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:47 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -291548*f**2*y**2 + 167422*f**2*y - f*y wrt y.\nAnswer: -583096*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/((-6)\/105). Suppose -n*y = -6*y - 5. Suppose -y*l = 3*r - 13, -4*l + 6*l - 2 = 2*r. Solve -2*o + u - 2 = 0, 0 = 4*o + l*u - 3*u + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59669056.36 to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 27 + 3. Let a(u) = -u**2 - 9*u - 11. Let m be a(-7). Suppose -83 = -8*g - m. Calculate the least common multiple of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311966191.\nAnswer: 719, 433889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 11.4.\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5794 less than 102?\nAnswer: -5692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)\/s)\/s)\/s**4*s**(2\/7)*s*s*s*s**(3\/7)*((s*s*s\/s**(1\/4)*s)\/s**(-2\/15))\/(s*s**(2\/5)*s)**21 assuming s is positive.\nAnswer: s**(-6879\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 692 - 736 = -1356. Solve 0 = -2*a + 7*a - b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (15 + (-30 - -11) - -17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, 6, 54, 154, 324, 582, 946?\n\"Answer: 3*j**3 - j**2 - 4*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 2*b = -6*l + 14, 2*b + 5 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 795.13034?\nAnswer: 798.13034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.9 and -869214?\nAnswer: -2520720.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in -0.6, 5, -1\/12?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*b - 113439 = 8564, 4*y + 2*b - 488012 = 0. Let q be (-1)\/(-2)*-6 + y. What is q rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4466889458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 151*o - 6. Let h be r(2). Let f = -108 + h. Suppose 2*i = -2*d + f, 2*i = -4*d - i + 377. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*v + 2*v**3 + 2 + 3*v**4 - 66*v - 2*v**3 - v**2 as l + s*v**2 + k*v**3 + y*v**4 + q*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.649785 kilometers to micrometers.\nAnswer: 649785000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + -13 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3396\/47 + 198577\/2585. Let j = t - 68\/15. Sort 0.3, j, 2 in decreasing order.\nAnswer: 2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10241 by 539.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 4*z**2 + 4*z - 5. Let w be b(-5). Suppose w = 10*c - 4*c - 1038000. What is c rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*k - 28 = 0, -6*q - 16 = -7*q + 2*k. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:18 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edd when three letters picked without replacement from {e: 14, p: 1, d: 2, j: 2}.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 + 1. Let f be u(-2). Let p(n) = -15*n - 28*n - 25*n + 68*n - 8*n**2. Give p(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467190 is divided by 155716.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -32.94\nAnswer: -14.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -275.\nAnswer: -1\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 53, -104 in descending order.\nAnswer: 53, 5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21956*s + 1997?\nAnswer: -21956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 379*k**3 + 7*k**2 - 7. Let n(y) = -190*y**3 - 3*y**2 + 3. What is -7*n(b) - 3*s(b)?\nAnswer: 193*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, 52 in ascending order.\nAnswer: -24, -3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9400*n**3 - 9401*n**3 + 18799*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + ((-10 - -10) + 11 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11406 is divided by 1059.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwzhhgi. What is prob of picking 1 g and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/3)\/((4*(-2)\/(-824))\/(277\/831)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3440?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + 1*sqrt(684)).\nAnswer: 12 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -148. Calculate the highest common divisor of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5538286 - -1129813037\/204. Let a = -240\/17 + y. Calculate the common denominator of -51\/10 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feffffxfffffxf. What is prob of picking 2 f and 1 e?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n - 1. Calculate u(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/69*(-26312)\/858?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**4\/4 - w. Let y(s) be the third derivative of 5*s**4\/24 + 599*s**2. Calculate y(u(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4400 + 4403. Suppose -t = -2*b - 137 - 33, 3*t = -5*b + 488. Suppose -t = -2*h + 2*z, -2*h + 93 = -m*z - 77. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25656661, 25656660, 25656659, 25656658?\nAnswer: 25656657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 85122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -162400 and -8931943\/55 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 2 = 5*w. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j + 367 = -53. Let p(r) = -2*r**3 + 5*r**2 - 3*r + 2. Let a be p(3). Is j >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 5*u - 4*u - 4*u. Let i(l) be the third derivative of l**4\/8 + 7*l**2. Calculate h(i(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1842, 2732, 7306, 11880, 16454?\n\"Answer: 4574*r - 6416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10286092.3854 - -0.0588?\nAnswer: 10286092.4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:24 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (394\/2364)\/(2\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1 - c + 2*c - 2*c + 2. Let x = -375 - -379. Give p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 234?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 50110534 (base 7) to base 16\nAnswer: 3f20e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5848874.\nAnswer: 2, 2924437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (19\/(-342)*18)\/(-4 - -1). Sort 1\/8, d, 2\/97, -5\/2 in decreasing order.\nAnswer: d, 1\/8, 2\/97, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 370 - 72)*(0*l - 6*l + l).\nAnswer: 2330*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946*x = -985*x - 156 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - k = -10, 2*t = 7*t + 2*k - 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93379?\nAnswer: 11, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7283, -34, 1, -1 in increasing order.\nAnswer: -7283, -34, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -172083 at most as big as -2753325\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*-3)\/sqrt(10)*-3.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/778600 and 76\/595.\nAnswer: 5450200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 2*o**3 - 4*o**2)*(1 + 2 - 2) + (4*o + 0 + 0)*(-2*o**2 + 3*o**2 - 3*o**2).\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197372 and 1596.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 10*j**2 + 9*j + 15. Let b be u(-11). Suppose b = g + 3*o - 17, 2*g = 2*o + 132. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 3. Let t be l(-2). Suppose 3*b + 0*b - 6 = 0. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k)**(-28))**(-36) assuming k is positive.\nAnswer: k**2016","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*q + 70 + 3446 = -249*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 0 + 0 + (3*x + 0 + 0)*(1 + 0 - 36) - 2 - 2*x + 2 + 2*x + 1 - 1 + (5 - 5 + 2*x)*(-4 + 1 + 1) + 0 - x + 0.\nAnswer: -109*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139220 = -m + 93231. Suppose -3*t - 616549 = m. Round t to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54724*y**2 - 12789?\nAnswer: -109448*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/1302*((-85)\/(-34) - 5\/((-25)\/(-30))).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k*t**2 - 2*k*t - 196*k - 23*t**3 wrt t?\nAnswer: 12*k - 138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 465500185 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -264 and -1964631.19.\nAnswer: -1964895.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3312, 25747, 86614, 205119, 400468, 691867?\nAnswer: 1098522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -522*0.1\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j - 12*j = 2294996 + 943232. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 - 7*r - 5. Let i(c) = 3*c + 3*c + 44 + c**2 - 5*c - 43. Give 3*i(f) + s(f).\nAnswer: -f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 144 = -10*m. Let d be 4\/(-14) - m\/42. Which is the closest to 5? (a) 0.3 (b) -2\/13 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 17*l + 29. List the prime factors of j(-20).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 915 + 795. Suppose -2*o = -165 - n. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 205. Let h = w - 169. Calculate the remainder when 70 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -a - 1, -1 = 124*d - 126*d + a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/7 or -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/11*h**2 - 16 + 2\/11*h**3 - 168\/11*h.\nAnswer: 2*(h - 22)*(h + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 4*a**2 + 4*a. Let m(i) be the second derivative of 1\/2*i**3 + 41*i + 1\/4*i**4 + 0*i**2 + 0. Give -4*m(f) + 3*o(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/6 - (-246)\/48 and -62\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0095396 to 5 dps.\nAnswer: 0.00954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321 - -367. Calculate the remainder when p is divided by 669\/45 - (-6)\/45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3613957.\nAnswer: 3613957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4322446 and 7224?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2119032896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(462)\/(sqrt(99)*2 + sqrt(11)))\/(6*(sqrt(384) - (sqrt(384) - 1*sqrt(384))*3)).\nAnswer: sqrt(7)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -123.52 + 125. Let j = k + -1.48236. Round j to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = r - 12, -3*v = -r + 2*r - 12. What is the least common multiple of r and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let g(r) be the third derivative of r**4\/24 + 5*r**2. Suppose 2*j + 11 = -5*b, 0 = 3*b - 2*j - 5 + 2. Let s be (b\/3)\/(1\/3). Give s*g(o) + 4*q(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6284 divided by -1571?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 238028781 to the power of 1\/2, to the nearest integer?\nAnswer: 15428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b*j**4 + b*j**3 - 10080*b*j + 17*j**4 + j wrt j.\nAnswer: -72*b*j**2 + 6*b*j + 204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 4. Let j(r) = -2*r**2 - 3*r - 1. Let k be j(-2). Give w(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1528.99976 - -0.00024. Sort t, 0.3, 2\/11, 1 in ascending order.\nAnswer: 2\/11, 0.3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 186, 735, 1650, 2931, 4578?\n\"Answer: 183*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (42 - (41 + 13 - 6)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16*2)\/(28\/280)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18093, 17622, 17151, 16680?\nAnswer: 16209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-117 - 45 - -166) + (0 - -94) + 0 + -7\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*b**3 - 21*b**2 + 1617*b - 6174.\nAnswer: -3*(b - 7)*(b + 14)*(4*b - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6406*q**3 - q**2 - q + 4. Let j(p) = p**2 - 6*p + 4. Let g be j(6). Let l be s(g). Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l = 318*a - 317*a - 18, -5 = a - l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320586 minus 2?\nAnswer: -3320588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 21*z - 4400 = -12*z. Calculate the remainder when 1933 is divided by z.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.7 - -0.7. Let t = -43.97223747 + -0.02714253. Let v = t - a. Round v to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018013231 to 7 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/5550 and -61\/210.\nAnswer: 38850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.881677 milligrams?\nAnswer: 0.003881677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-31)\/(-465)*42\/(-161)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -170, -507, -1166, -2255, -3882?\nAnswer: -6155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -16, -35?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -3. Let o(m) = m - 5*m - 4 + 3*m. What is the units digit of o(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 14*a - 1292 = -36*a. Solve 8*p = 25*p + a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/7*(-2)\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119002391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 20 = 0, 4*m + 43*k - 48*k - 25 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 2*y**7\/315 - y**6\/30 + y**5\/15 - y**4\/18 - 51*y**2\/2 + 11*y. Let p(k) be the first derivative of h(k). Factor p(t).\nAnswer: 4*t*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -695841277 or -695841278?\nAnswer: -695841277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 34.42. Let f = n - -0.42. Let o = -0.6 + f. What is the fourth smallest value in 2\/7, -1\/3, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54702)\/84*4\/6. Let o = z + 60339\/140. What is the common denominator of o and (-3)\/22*(-1350)\/162?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 45 - 75 + 130*p wrt p.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (152 + -153)*1*-1*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**5\/20 - l**4\/2 + 2*l**3\/3 - 37*l**2 - 5748*l. Determine a(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -45*c**2 + 5*c - 47. Let w be d(-12). Let k = w + 11544. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/90 and 35\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 30017*k - 90081. Give z(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 14*y + 8. Let h(z) = -3*z**2 + 5*z + 4. Let b be h(-1). Let j be w(b). Solve j = -f - f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -8.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27674 is divided by 13815.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -932, -5, 5, -7 in increasing order.\nAnswer: -932, -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*n = 20, -8*c + 2*n - 46 = -20*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -40, -44?\n\"Answer: -4*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -13221?\nAnswer: -13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 1.12. Let d = -3 - 1. Let v = d - -4.2. Which is the nearest to 1\/4? (a) 0.5 (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.46 + 1.26. Is -1\/10 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -69.91. Let f = -1.01 - -1.1. Let z = y + f. What is the third biggest value in z, -1\/2, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 6. Let q be k(-5). Suppose -5*p - 14 = q. Let o(t) = -t**3 - 6*t**2 - 3*t + 7. Let a be o(p). Put -4, a, -5 in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5420 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 10, 1, -1, -531 in increasing order.\nAnswer: -531, -1, 1, 10, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-30)*15\/5*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 16*g - 2. Give l(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 10*j**2 + 31*j + 324. Calculate the remainder when 1732 is divided by y(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = 5*o + a - 42, 0 = 2*o - 4*a + 36. Let s = -18 - o. Calculate the least common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*p + 25, 193 = 4*y + 4*p + 73. Suppose 6 + y = 5*o. Solve -7 = -w + 5*q, -2 + o = 3*w + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 144, 5, -1, 1 in increasing order.\nAnswer: -1, 1, 3, 5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 u when three letters picked without replacement from uuuiuuuuuuuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -31*n + 3. Suppose 5*b + 1 = 6. Let r be j(b). What is the remainder when 17 is divided by 1\/(-5)*r - (-4)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/13 (b) 3\/14 (c) 6 (d) 21\/38 (e) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, -10, -43.6, -2\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 429805003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 21. Let p be t(9). Let m = 0.2 + -0.5. Let z(w) = -3*w. Let q be z(-1). Which is the closest to q? (a) p (b) 4\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5537 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/43)\/b*b)**(-21) assuming b is positive.\nAnswer: b**(42\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z + 89 = 3*c, -5*c - 3*z + 143 = 0. Let k = 113\/4 - c. What is the third biggest value in k, 4, 27?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10522973 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36580*q**6*s**3 + 350*q**2*s**2 - 17*q**2 + 2*q*s**3 wrt q?\nAnswer: -4389600*q**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*x - 8, -h = -x - x + 4. Calculate the remainder when 15 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 4906, 4, -4, -3, 12 in ascending order.\nAnswer: -5, -4, -3, 4, 12, 13, 4906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 divided by 154?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8187, 24167, 50793, 88059, 135959, 194487, 263637?\n\"Answer: -z**3 + 5329*z**2 + 2859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*y + 81. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -264743722*s**5 + s**4 - 118619*s**2 - 108*s.\nAnswer: -15884623320*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.24 (b) -0.3 (c) 0.0113 (d) -0.5 (e) 0.2 (f) -2\/5 (g) 14.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.63 - 0.72. What is the smallest value in -3, z, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182755?\nAnswer: 5, 36551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2290665 and 3358095.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 23, -1\/2, 4, 1\/3, -5\/4, -3, 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 0*o**2 + 13 + 0*o + 10\/3*o**3 + o**5 - 15\/4*o**4. Factor q(m).\nAnswer: 5*m**2*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315 + -314.936. Let f = 0.0639773 - s. What is f rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -0.27, -0.01, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26995777.\nAnswer: 26995777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10\/7))**(-12\/7) assuming r is positive.\nAnswer: r**(120\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - -13?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**2 + 5*q**3 - 9*q**3 - 7*q**2 wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3095, -12390, -27887, -49592, -77511, -111650, -152015?\n\"Answer: -a**3 - 3095*a**2 - 3*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030808367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-274)\/(-548))\/(-1*9).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0*k + 0*k)*(686 - 686 - 66*k) to x*k + i*k**2 + a and give i.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -256.3 - -256. What is the smallest value in n, -1\/11, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4\/2 - 21525*n**3\/2 - 43043*n**2\/2 + 64569*n\/2 = 0?\nAnswer: -21523, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14 = -4*g - 5, -2*n - 6 = -4*g. Which is the second biggest value? (a) n (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 12)*(-1 - 4 + 3)*(14*b - 24*b + 11*b).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-102)\/(-14) - 6\/21. Let p be w\/(-2)*(-36)\/21. What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-4 - 7) - (-13 - (-4 - -1)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117823 is divided by 63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2447 is divided by 82.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose k + 0*z - z = 17, 4*k + b*z = 92. Let g = k - 12. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516845117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - -129. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Suppose -2*n = 4*n - 24. Which is the second biggest value? (a) n (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**3 - 31*w**3 + 31*w**2 + 3*w - 35*w + 18*w**3. Let g be k(-32). Solve 0 = -3*a - g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20d1 (base 14) to base 16\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((m*m**(-13\/4)*m*m*m)\/m)\/m)\/m)\/m*m)\/m*m**(-4\/23))**30 assuming m is positive.\nAnswer: m**(-4725\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**2. Let q(d) be the third derivative of 0 + 0*d + 0*d**3 - 46*d**2 + 5\/12*d**4. What is m(q(x))?\nAnswer: -700*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50401 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27233*v**3 - 13616*v**3 - 13605*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43581\/68 - -2549\/4. Which is smaller: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*b + 36, b + 5*d + 516 - 479 = 0. Factor 114\/5*i + b*i**2 - 48\/5.\nAnswer: 3*(i + 8)*(5*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 45. Suppose 20 = -2*h - 20. Let x be i(h). Let n = x - -23. Calculate the highest common divisor of 64 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3 - 79*j**2 + 4485*j + 4563 = 0. Calculate j.\nAnswer: -117, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 77*q**2 - 2699*q - 2049. Give g(-103).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.22 + -0.22. Put 5, 3\/4, c in descending order.\nAnswer: 5, c, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.5 (b) -76 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320024 - 320021. Let g = 27 - 19. Let r = 15 - g. Put o, -3\/8, 2\/11, r in increasing order.\nAnswer: -3\/8, 2\/11, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.6 - 83.65. Let i = 14.05 + -13. Let m = l + i. What is the biggest value in 3, m, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*x - 198 + 767 + 836 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -233312233?\nAnswer: -233312222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from efefeeffhfzeeme?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -500 + 520. Let x(l) = l**3 - 23*l**2 + 62*l - 30. What is the remainder when 36 is divided by x(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 t when four letters picked without replacement from {d: 11, w: 3, t: 4}.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -6. Let k be (-64)\/(-28) - 6\/d. Solve -k*a + 0*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.0916 times 4\nAnswer: 24.3664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32554475 or 32554477?\nAnswer: 32554477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2 - 4*h + 2*h + 2. Suppose -2*k + 2 + 0 = 4*q, 0 = 2*k + 6. Let y(v) = 0*v**q + 2*v**2 + v**2. Give y(w(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 27 = 2*q + 3*u, 3*u = -4*q + 33. Let b be 1*8*3\/q. Suppose 149 = 3*v - b*i - 264, 2*v - 277 = 3*i. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11042742 or -11042743?\nAnswer: -11042742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*c - 3 = 0, 2*j - 248 - 251 = -2*c - 485 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2183, -4415, -6687, -8993, -11327, -13683, -16055?\n\"Answer: q**3 - 26*q**2 - 2161*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 5*a + 7. What is c(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10212?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 47*d - 140. Determine y(44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + -1 + 3 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*s + 84, -140 = -349*s + 344*s - 2*i for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186677*c + 650 = 186612*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24843.79 micrometers to millimeters.\nAnswer: 24.84379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 13*y**2 - 8*y - 20. Let c be o(10). Suppose -3*z = 9, n + z = -28 - c. Let w = n + 394. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/6 - 103*k**2\/6 - 901*k\/2 - 867\/2 = 0. What is k?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1600 divided by -19\nAnswer: 1600\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(6\/7))\/((q\/((q\/q**4)\/q*q)*q)\/q))\/(q*q**(-1\/4)*q)**43 assuming q is positive.\nAnswer: q**(-2187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 213756 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from jjppepjqjhe?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*f + 34 = 35 + 74, 3*k - 114 = -f - 4*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 t when three letters picked without replacement from jxjtvjjnuxjtt.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 77*i - 147. Determine r(-42).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:44 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*p = -172, 0 = -5*s - 2*p + p + 211. Let q(g) = 4*g - 6 - 2 - 10*g - 5. Calculate the remainder when s is divided by q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011011110 - -101111111110101?\nAnswer: 100011100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.08674, -5, 0.4, 3\/4 in increasing order.\nAnswer: -5, 0.08674, 0.3, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 9*j - 2. Let p be b(-4). Suppose 6 = p*u - 6. Suppose 18*g - 17*g - u = 0. Solve -g*c + 12 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 786 = 30*j - 2057 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 2*t + 0*t)*(-2587*t**3 + 1309*t**3 + 16*t**2 + 1279*t**3 + 1 + t) to x + o*t**3 + b*t + y*t**4 + m*t**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-2)\/(-20)*-5. Let v(n) = -c*n + 5*n**2 - 4 - 3 + 3 + n**2. What are the prime factors of v(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/14037704 and 51\/8.\nAnswer: 14037704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 0.5 (c) -0.4 (d) -14104\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1699799536 and -1.\nAnswer: -1.1699799536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/11)*a**(-1)*a*a)**(-2\/27))**(1\/17) assuming a is positive.\nAnswer: a**(-14\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, q: 3, e: 1, m: 4, a: 1}. What is prob of sequence ei?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 106657057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. Let q = g - 3. Let p = -41 - -131\/3. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1376, -1336, -1308, -1298, -1312?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -10. Suppose b*x - 184 = -2*x. Let g be 10\/(-55) + x\/11. Solve -2*t = -2*v - t - 7, 0 = -4*v - g*t - 32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*m**2 - 208*m**2 - 4*m + 5*m to the form n*m**2 + o*m + u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0451462508 rounded to three dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 903 + -887. Solve v - 2*o - 1 = 3, 4*v + 4*o = w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/38508 and 95\/222.\nAnswer: 1424796","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: ((-39800)\/(-1791) + 3 + -25)*18\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1531, 6089, 13705, 24379, 38111, 54901?\nAnswer: 74749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 423\/3394?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**(-2\/23)\/(y\/y**(-5)*y**5*y))**(1\/26) assuming y is positive.\nAnswer: y**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1037993*-16\nAnswer: -16607888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.52 - -0.48. Which is the second smallest value? (a) s (b) -4\/5 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 917.2 + -916.47725. What is z rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2301333\/669488 + -2\/41843. Find the common denominator of a and 2\/(-6)*549\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 92268 and -2.35.\nAnswer: -216829.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6110074 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 5 - 5)*(d**3 - 2*d**2 + 2*d**2)*((-3*d + 2*d - d)*(-3 - 2 + 1) + (7 - 5 - 13)*(2*d + 3*d + 10*d)).\nAnswer: -785*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -17*n + 132. Let g be u(7). Find the third derivative of 5*v**5 + 91*v**2 + g*v**5 + 51*v**2 + 24*v**5 wrt v.\nAnswer: 2520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3960 = 65*z + 133*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 268*o - 269*o = 1, -3*l + o = -7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3187892*b**5 + 2*b**4 + 7595*b**2 + 287 wrt b.\nAnswer: 191273520*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*m**3*v**2 - h*m**3 - 11*h*m*v + 243*m**3*v**2 wrt h?\nAnswer: 2*m**3*v**2 - m**3 - 11*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - o + 2999 = 3052, 0 = -4*d - 4*o + 28 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7380 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -26. Let f = m + -9. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9291 divided by 9291.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - 23*h**2 + 11*h + 8. Let b be g(11). Let a = b - -104. What is the remainder when a is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 - t + 2238*t**2 - 8*t**4 - 6*t**3 + 0*t**3 + 9*t**4 + 6*t**3 to o + f*t**4 + n*t + p*t**3 + m*t**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6 and -1.36?\nAnswer: -4.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61171 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-10))**(7\/4))**(4\/13))**(-5))**6 assuming f is positive.\nAnswer: f**(2100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:17 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -34*p**2 + 13*p - 15. Let n(m) = 17*m**2 - 6*m + 7. Let a(d) = -13*n(d) - 6*s(d). What is a(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*h + 2472. Let d be (-1)\/(4\/h*-3). Suppose -22*k = -16*k - d. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkyvkkkvyvkbv. Give prob of picking 1 v and 1 b.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38000\/1235 - (-3)\/13?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(70\/7))\/(423\/987)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103\/452820 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 8:00 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 2, r: 1, l: 1}. Give prob of sequence grd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*j + 18*j - 5*j + (-2 + j + 2)*(3 - 5 + 0).\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -76d3 (base 14) in base 6?\nAnswer: -235121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 28*p - 45 = 0. Let c(x) = x**2 + 4*x - 10. Give c(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w = 32*w - 300. Let c = 116 - w. Solve -4*v - c = -8*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5 = -5*g. Let r = -2 + 1.8. Which is the third smallest value? (a) g (b) r (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -786, -1572, -2358, -3144?\n\"Answer: -786*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, y: 5, o: 2}. What is prob of picking 2 y?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 11*y - 37. Let k be q(14). What is the greatest common factor of 4 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 15 + -3 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b + 897 = 5*o, 3*b = -2*o + 345. Suppose 243 = 4*z - o. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 8 = 2*t, -3*t = 0. Suppose -39*m + 25 = -34*m. Solve -f - m = 3*g - g, 0 = n*g + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109771 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -32*t**2. Let i(k) = -172 + 172 + 2*k. Calculate v(i(c)).\nAnswer: -128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/3 + 79\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 100. Solve -h + 3 = w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1*16\/1120*-15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from uyuyyyyyuyyyuy.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 55) + (8 - (4 + -6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-10)\/24)\/(5\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5223, 5225, 5227, 5229?\n\"Answer: 2*w + 5221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-292)\/(-5) + 20\/(-50) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 9*f**2 - 4*f + f in the form y*f + z*f**2 + j and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 7. Let h be y(4). Let m be h\/(1 - 4\/6). Suppose 0 = -4*a + m*s + 101, -2*a + 4*a - 49 = s. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25aa - -152?\nAnswer: 2751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 6*h - 98 = 0. Solve 0 = -h*w + 8*w - s + 1, 3*s = 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*a + 68 + 122 = 0, -178 = -4*g + 2*a. Let d = 51 + g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19206 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 third root of 1503093284 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986*y = -12259 - 16335 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3507045 (base 9) in base 3?\nAnswer: -10120021001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/sqrt(4) - sqrt(6)\/sqrt(3)*-1 - (sqrt(4) - (sqrt(4) - (sqrt(4) + 1*sqrt(4)*-2)))\/sqrt(2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Which is the second biggest value? (a) z (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2015184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 174457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5611 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - 0.6. Let n = -1.27 + -0.23. Let s = x - n. What is the closest to 0.1 in -2\/7, s, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -18401*n**2 + 1626*n + 23. Let x(d) = -12267*d**2 + 1095*d + 16. Let q(a) = 5*b(a) - 7*x(a). What is the second derivative of q(p) wrt p?\nAnswer: -12272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-8)*(8\/72 + 117050\/(-450)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -13*g**3 - 108*g**2 + 21*g + 461. What is z(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118, -165, -212, -259, -306?\n\"Answer: -47*v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 16. Let g be 1 - 1 - (-45 - m). Suppose 5*y = 2*y + g. Calculate the remainder when 38 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*w + 3*u + 137, 4*w + 5*u - 71 = -208 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1168*s + 151*s = 640*s + 8285 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 71 = 275. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g + 13*g = -22*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.1, 7, -22\/31?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 5\/3*r**3 - 5*r + 7\/2*r**2 - 86 + 3\/4*r**4. Let x(c) = 2*c**3 + 4*c**2 + 6*c - 4. Calculate -4*l(j) + 5*x(j).\nAnswer: -2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -4. Let f = m - 4. Suppose -f*w - 35 = -7*w. What is the remainder when 13 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 4616245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 4 - 4 + (-1 - 3 + 2)*(-2*s + 2*s - s) - 53*s + 89*s - 35*s - 12.\nAnswer: 5*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -257 (b) 1\/3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97559184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*18\/(-3). Determine s so that -5 + 2*s**y - 16*s**2 + 5 + 14*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2538113*z**2 - 906415*z wrt z?\nAnswer: 5076226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 4*q + 1. Let p be 85 + -90 + -1 + 0 + 29. Let a(z) be the first derivative of 1\/3*z**3 - 1\/2*z**2 - p - z. Give -2*a(n) + y(n).\nAnswer: 2*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {c: 3, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (35\/126)\/(1650\/31185). Factor 1\/4*s**2 + i*s - 1\/4*s**3 - 45\/4.\nAnswer: -(s - 3)**2*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(6*g - 2*g - 2*g) + (-313 + 329 - 202)*(2*g - 5*g + g) - 3*g + 5*g - 3*g to w*g + n and give w.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2951 - 2915. Let o(p) = 2*p**3 + 3*p**2 - 7*p - 4. Let d be o(4). What is the highest common divisor of c and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2220 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z - 8. Let l(i) = -2*i - 5. Let k be l(-5). Let q = 2 + 0. Let b(r) = q*r - 7 + 0*r - 5*r. What is k*v(y) - 6*b(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from xuuuttux.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/110 and 29\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 49 + -19 + -17\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7 + 25 - b - 11. Let h be d(3). Suppose -4*r + 3*r - 3*p = 13, h*r - 3 = -p. Solve -5*k - 4*c = 0, -2 = 2*k + r*c - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-315)\/(-156) - 2). What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55454 - 5434383\/98. Calculate the common denominator of s and 51\/52.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 7*p - 5. Let j(s) = s**2 - 10*s - 7. Let c be 40\/(-6)*6\/(-5). Let w = 1 - c. Let t be (-95)\/(-20) + 3\/12. Calculate t*j(v) + w*a(v).\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1527, -1932, -2987, -5016, -8343, -13292, -20187, -29352?\n\"Answer: -54*q**3 - q**2 - 24*q - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1131*o - 476*o - 34776 = 403*o for o.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60482432 - 70*u + 74*u + 60482444.\nAnswer: 4*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyciincnccyy. Give prob of picking 2 i, 1 c, and 1 n.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.017 in -4\/9, 5\/126, -4\/3, 4\/7, -0.5, 1\/2?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77.2 + -77. Let b = -30.5 - -30.5. What is the nearest to u in b, -0.4, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12522*x**3 - 2776*x.\nAnswer: -75132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 15721471.\nAnswer: 3144294.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-111 - 32 - 7)*(0 - 3 + 5)*(6*m + 3 - 3) to the form x*m + y and give x.\nAnswer: -1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2232 and 2046?\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68930217 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (1*sqrt(13)*-5)**2 + -5).\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = 3*r, 4*r - 3 + 1 = -3*q. Let x = -6 + 9. Let n = x - 6. Sort r, n, 11 in decreasing order.\nAnswer: 11, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 71 + z - 2*z - 71. Give p(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 + 3036*a + 359008 = 0 for a.\nAnswer: -104, 863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:58 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/2 + 2*n**3\/3 - 3*n**2\/2 + n + 1. Let i = 18 + -46. Let m = -31 - i. Let j(g) = g**2 - g + 1. Determine m*j(k) + u(k).\nAnswer: -2*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4367668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.4*149487.\nAnswer: -508255.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d**2 - 3*d**2 + 2*d**2 in the form z*d + h + a*d**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 194 = 3*g, -3*m - 8*g - 310 = -13*g. Which is greater: m or -101?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98869808 or -98869810?\nAnswer: -98869810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4\/3 (c) -3\/116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120273728*q + 20129650.\nAnswer: 120273728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g**2 + 8 + 2*g**2 - 12 - g**2 + 7*g. Let d be t(-8). Differentiate 0 - 3*k**2 + 4 - d*k**2 + 3*k**2 with respect to k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 873898254 to the nearest integer?\nAnswer: 29562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/(-72) - 13 - 3\/4. Let f(a) = 6*a**2 - 5*a - 36. Is 11 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0159576 rounded to four decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 + 10101?\nAnswer: 20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -204330 divided by 2919\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1056.92 - -21.92. Let c = x + 1034.9998897. Round c to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 595, 3, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/3 + s**2 - 2*s + 272. Let d(c) = 9*c**2 - 17*c + 17. Suppose -9 = 5*j - 264. Give j*m(z) + 6*d(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*u - 16 - 23 = 0, -27 = -2*w - u. Let m be w\/(-18)*27\/18. What is the closest to 8 in -3, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -21607.4.\nAnswer: -108037","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 19*s - 17*s + 7*s as z*s + n and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20008\/11480 + 1\/(-5)*3\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 2.525\nAnswer: -0.2525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*v + 10, 7*v - 10 = -20*k + 25*k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 30821*m**2 + 226175*m + 71967.\nAnswer: -(m - 10281)*(m + 7)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/357 + (-4)\/(-28)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**7\/10 - 19*r**3\/3 - 11*r**2\/2 - 29. Let k(b) be the second derivative of n(b). What is the derivative of k(t) wrt t?\nAnswer: 84*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 3*r**4 + 3*r**4 + (-4 - 3 + 5)*(r**4 + 0 + 0) - r**4 + 3*r**4 - 3*r**4 - 4*r**2 + 4*r**2 + 2*r**4)*(-r + 3*r + 0*r).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1125973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25133\/1648 - -1\/1648. Let x(s) = -41*s**2 - 3*s + 8. Let u be x(3). What is the common denominator of -3 - (-6)\/((-216)\/u) and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 - 2*h + 1. Let r be c(1). Put 0.2, 0.4, r in increasing order.\nAnswer: 0.2, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -78\/1111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -33 (c) 52\/5 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 3. Let h be d(-2). Let j be h - ((-1)\/1 - 2). Let u(i) = -i**3 - 5*i**2 - 3*i + 3. Let s be u(j). What is the closest to -1\/2 in 4, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*k - 3*w, 0*k - 3*k - 3*w = -18. Suppose -7*g = -5 - k. Let r(i) = 1399*i**2 + 2*i - 2. Is r(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 - 2*k + 3. Let f(z) = -13*z**2 - 4*z + 6. Let p(r) = r - 6. Let o be p(0). Let l(y) = o*f(y) + 11*h(y). List the prime factors of l(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 - 165. Let p = g - -72. Calculate the greatest common factor of p and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - 408\/30)\/((-1)\/5) is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1))\/(4\/(-932)). Let b = 483 + p. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-2\/9)\/g)\/g)**(-15)\/(g*g*g**1*g*g**(1\/4))*((g*(((g*g**(1\/6))\/g*g)\/g)\/g)\/(g\/(g**(-1\/3)*g)*g))\/(g**(1\/4)\/g)**(10\/11) assuming g is positive.\nAnswer: g**(1795\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/73, -1\/7, 0.2, -2\/3, 5 in ascending order.\nAnswer: -2\/3, -1\/7, -2\/73, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = -4*s, -3*s - g - 125 = -128. Solve 9 = -5*t - 4*j + 14, -25 = -s*t + 3*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-430)\/(-16) - (-324)\/288. What is the highest common divisor of 105 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18562, -37120, -55678, -74236, -92794?\nAnswer: -111352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1428)\/136*(-1)\/((-81)\/(-12)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-60)*(-2 - 20\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/57918 and 157\/407400?\nAnswer: 561804600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnb when three letters picked without replacement from nbn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22469 and 0.2.\nAnswer: -22468.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -33558860 at least as big as -33558860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 4)*(-1 + 0). Determine n, given that 0*n**2 - 2*n**2 - 3*n**3 + 2*n + o + 0*n**3 + n**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 8*j + 5. Let u be m(8). Suppose -3*c = s - 4*s + 18, -u*s + 2*c = -36. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 680851633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/((-71)\/((-37488)\/605))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5609737.\nAnswer: 7, 43, 18637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1121407020 - -1?\nAnswer: -1121407017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/16 - 2)*(-101432)\/(-409).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 268187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 2 (c) 4 (d) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-150))\/((140\/10)\/84)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 10*l + 30. Let m = -403 + 390. Determine j(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79\/2 of a centimeter?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 + -11112?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 930 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbgz when four letters picked without replacement from bbzbbbbgbbbbzbbzg?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**3 + 14*d**2 - 8*d. Let g be v(-4). Suppose g = -13*j - 16 + 68. Solve -16 = -4*c - j*y, -8 = 3*c - y - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28719 and 3.\nAnswer: 28719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 2*u**2 + 7*u + 12. Determine g(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)*u)\/(u*u**(-2\/5)*u)*u*u**3*u*u**1)\/(u**1*u**(2\/5)\/u)**(-10\/13) assuming u is positive.\nAnswer: u**(46\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*g = -140*g + 50. Let a(p) = -p - 11. What is a(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 324*h**2 + 1333*h + 6869. Determine b(-328).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5503*q + 5024240. Determine w(-913).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 242614 + 5?\nAnswer: 242621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.4, -2\/9, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 4 - 1 - -4. Solve 3*j = -a*l - 13, 3*j + 17 = -2*l + 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/9100 and -41\/420.\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43*-1.26\nAnswer: 54.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:05 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8403600*m**2 + 3*m + 182482696.\nAnswer: 16807200*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/235 - 14359\/705. Let r = p + 185\/9. Put -5, -1, r in decreasing order.\nAnswer: r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*o - 9 = 0, 5*z + 3*o = 16 + 4. Let y(q) = 2*q - 8. Let x be y(6). Suppose 10 = 3*a - x*k, 2*k - z = -3. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/29)\/s*s**24\/s assuming s is positive.\nAnswer: s**(635\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/100 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x**2 - 354*x - 72. Let a be o(23). Calculate the greatest common divisor of a and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40988860 to the nearest integer?\nAnswer: 6402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 29*v - 31*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 9 = 0. Put 0, z, -4 in ascending order.\nAnswer: -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108.29 - 106.9. Let u = -184.11 - -185. Let k = u - v. Sort 1.3, -3\/4, k in descending order.\nAnswer: 1.3, k, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l + 2. Let x be j(2). Calculate the greatest common divisor of x and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*x**2 - 53*x + 53*x)*(0 - 4 + 6) + x**2 - x**2 - 2*x**2 + (5*x - 2*x - 4*x)*(x + 2*x - x) in the form t*x**2 + f*x + n and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -0. Suppose 9*l = v*l. Solve 1 + l = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477 divided by 1?\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11 + 16*x + 12 + 3*x**2 - 22 + 14. What are the prime factors of i(-11)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 11, l: 2}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271804 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -420 - -413. Which is the third biggest value? (a) o (b) -11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14 = 5*r - 3, r + 7 = 3*y. Suppose -1 - 15 = -3*x + 5*w, -x = r*w - 32. What is the remainder when 38 - (-3 + 6) - 1 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 44*y - 1. What is the remainder when 103 is divided by x(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62496*a*b + 289560*b wrt a?\nAnswer: 62496*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 612.08 - 13.08. Is n greater than or equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 207\/11 + ((-65)\/(-55) - 1). Let n = 23 - a. Solve 3*f = -d - 5, -4*f = -n*d - 12 - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*w - 214, -5 = -3*r - 11. Let v be 17\/5 - 28\/w. Let k be (-3)\/v*(-1 - -7). Which is the fourth biggest value? (a) k (b) 0.3 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2735, 9295, 19679, 33893, 51943, 73835, 99575, 129169?\n\"Answer: c**3 + 1906*c**2 + 835*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/2 + -3. Let g = -2.04 - -0.04. Let f = -2.5 - g. Which is the smallest value? (a) q (b) f (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c\/(c\/(c\/(c\/(c\/(c*c**(-4\/5)))))))\/c)\/c)**(-33) assuming c is positive.\nAnswer: c**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(4\/3)*(d\/(d*(d*d**(-5))\/d))\/d*d**(-6\/11))\/(d**2\/(d**(-5)*d)*(d*d**(-1\/4))**(1\/25)) assuming d is positive.\nAnswer: d**(-17299\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11681 is divided by 3881?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 u, and 1 i when four letters picked without replacement from uurjuippuump?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -1\/7, 8, 1\/4, -1, 4\/5 in descending order.\nAnswer: 113, 8, 4\/5, 1\/4, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 75?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 - 14*i - 38. Suppose 16 = a + 2*y, 5*a - 4*y - 5 - 19 = 0. Let n(w) = 3*w**2 - 9*w - 25. Determine a*n(j) - 5*p(j).\nAnswer: -j**2 - 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2 - 2443968*k - 58656960 = 0. What is k?\nAnswer: -24, 814680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2330579 to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49038057, -49038056, -49038053, -49038048, -49038041, -49038032?\n\"Answer: i**2 - 2*i - 49038056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkl when three letters picked without replacement from yyyyykylyylklyy?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*t + 2*h - 318, -460 = -5*t + 4*h. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655, -625, -585, -541, -499, -465, -445?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93488 or -93507?\nAnswer: -93488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111932197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 460381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - 15. Let a be (-1)\/5 + (-99)\/(-45). Solve w = -5*d + a*y, 3*y - 4 - 6 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -351 - -353. Suppose -4*s = -5*z - 120 + 540, p*z = -3*s + 145. Calculate the highest common factor of 96 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 40*q**2 + 53*q - 489. Calculate l(41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-28) + 232\/(-28). Which is the smallest value? (a) -1 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 237.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t**2 + 6. Let h(o) = 341*o**2 + 121. Give 121*g(j) - 6*h(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*i - 106, 4*i + 2*h - 208 = -2*h. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 89328*x. Let u(k) = -k. What is u(z(f))?\nAnswer: -89328*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, g: 4, u: 6}. What is prob of picking 2 w and 2 g?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17039 (base 16) to base 6.\nAnswer: -2004225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17683 times 1\nAnswer: -17683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 33. Let f = x + 21. Suppose -n = -f*n - 20, -2*a + 5*n + 35 = 0. Is 5 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 51 = -2*m. Suppose 3*z - 6*z = m. Which is bigger: -16 or z?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44811\/3445 + (12 - 25). Is 1 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*g = 4*n + 270*g + 23, -4*n + 49 = -5*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -452, -3\/2, 0.432 in ascending order.\nAnswer: -452, -3\/2, 0.432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39622 - -4.\nAnswer: -39618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 742\/70 + 3\/(-5). What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29784, 30512, 31240, 31968?\n\"Answer: 728*z + 29056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 20*r**2 - 1645*r - 14440 = 0?\nAnswer: -8, 361\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 10*t - 1 - 1 + (1 - 2 + 3)*(2*t + 3 - 3).\nAnswer: 11*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*-1*8\/(-6). Suppose -b = 4*b - x. Let t(n) = 6 - n**3 + 283*n + 0*n**3 + 0*n**2 - 288*n + 5*n**2. Calculate t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22355 and 1360?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*m + 5, 0 = 2*m + 12*j - 8*j - 8. Let q(s) be the second derivative of -1\/4*s**4 + 0 + 0*s**3 + 26*s + 0*s**m. Let u(d) = -29*d. What is u(q(r))?\nAnswer: 87*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/21208500 and -26\/145?\nAnswer: 615046500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 18*v**2 + 22*v**2 + 8*v - 4*v**3 as y + w*v**2 + m*v**3 + i*v and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n - 11328 = -50*n. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180\/9673 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0851517148 to five dps.\nAnswer: -0.08515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044640 is divided by 4281?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/5*104*48\/2496.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 23.2.\nAnswer: 0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-12) + (-26)\/(-4). Let d(n) = 3*n + 4*n**2 + 6*n - f*n**2 + 0*n**2. Let b(m) be the third derivative of -m**5\/60 - m**2. Determine b(d(t)).\nAnswer: -t**4 + 18*t**3 - 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*h + 61686 = 127*h - 590*h + 30*h for h.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 5*a - 8, -a = 2*t - 16. Let k(h) = -12*h + 4*h - 44*h**2 + 5 + 45*h**2. Let c be k(t). Solve -4*g + 2 = -c*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7))**(-4\/5)*(p**(1\/2)*p)\/(p\/p**6*p) assuming p is positive.\nAnswer: p**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 + 2*q - 17. What is i(7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62240 = 24*u + 1400. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-20 + 16)) + (-4 - 0) - -16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/17435600 and 37\/10729600.\nAnswer: 139484800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (6 - 2)*-1. Is ((-37)\/m)\/((-3)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - u**2 - 13*u + 15. Let p(f) = f**3 + 6*f - 7. Let w(m) = -9*p(m) - 4*q(m). Suppose 0 = 5*i - 5 - 0. Suppose 5*r - i = 19. What is w(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2064855541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3888\/997 or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - i - 20 = 0, 4*i + 1 + 7 = 0. Suppose k = -5*q + 7*q. Solve -m + q = 2*o, 0 = 4*o - 2*m + 7 - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - -24. Suppose -4*i + z - 18 = 0. Solve 5*b = -2*b + i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -135, -115, -37, 99, 293?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from auaaaaaaaauaaaaaau?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*x + 60, -10*x + 6*x - 28 = 5*v. Let f = 11 + x. Let w be 1*f*(4 + 230\/(-55)). Put 5, -5, w in descending order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 49*c = 201, 34 = 5*o + 5*c + 18 - 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -506*b - 7012. What is the units digit of s(-50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*w + m, 16 = 5*w - 0*w + 2*m. Let p(v) = 3*v**w - 5*v - v**3 + 0*v**2 - 8*v**2. Let z be p(-4). Solve -z = -2*u, 8*u = 2*q + 3*u + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - b)*(-5 - 1 + 5) - 2 + 2 + 2*b + 34*b - 128*b - 63*b.\nAnswer: -154*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*2*((sqrt(20) - (sqrt(20) + sqrt(2420) + 3)) + sqrt(100)\/(-2*sqrt(5)) + 0))**2.\nAnswer: 8832*sqrt(5) + 169859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 17 = 4*s. Suppose -2*w - 4*h + 17 = -3*w, h = -4*w + s. Suppose -3*p = 4*b - 0*b - 160, -2 = -2*b. What is the lowest common multiple of p and w?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 + 194.18. Let n = 0.27 - 12.27. Let l = u - n. Which is the third smallest value? (a) l (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n**3 - 9*n**2 - 9*n. Let b be (-388)\/5 - (1 + (-12)\/20). Let z = b + 80. Let r(j) = -3*j**3 - 2*j**2 - 2*j. Give z*l(o) - 9*r(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let w(k) = -77588876*k. Calculate w(a(l)).\nAnswer: 77588876*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28426468 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*196\/2205*-6*(-155)\/2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -66707.\nAnswer: 66707.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.89 + -159.89. Let r = -158.083 - y. What is r rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 2\/121 (c) -2\/17 (d) -120 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 445955753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.25 - 656467.208.\nAnswer: -656478.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**2 + 9*w**2 - 11*w**2 + 28*w**2 + 4.\nAnswer: 48*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -74?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*q**4*t + q**4 + q**3*t - 4*q**2*t + q**2 + 105*t wrt q?\nAnswer: 1296*q*t + 24*q + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:38 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = k - 5*b, -2*k - 3*b + 3 = -16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.4 + 0.4. Let o = -21 + 11. Let y be o\/66 - (-4)\/12. Which is the third smallest value? (a) g (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**(-3\/10)*(h\/(h\/(h*h\/(h*h\/(h*(h**(1\/4)*h)\/h)))))**8*((h*h\/((h\/(h*h**(-3\/5)*h))\/h)*h)\/h*h**(-6\/11)*h)**23 assuming h is positive.\nAnswer: h**(37949\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 27*o - 32*o = -2, -d - 12 = -4*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 12*j**2 - 7*j - 6. Let w be t(8). Let q be w\/(-77) + (-2)\/11. Let m = 26 + q. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 + 2*o + 4. Let f(u) = -u**3 - 6*u**2 - 2*u - 8. Let l = -46 + -14. Let s be l\/(-24)*24\/(-10). Let z be f(s). Determine b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((702\/(-90))\/(-13))\/(2\/40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-12))\/(2\/(-6)). Let f be q - -4 - 0\/(-2). Let r = f - 6. Which is greater: 1\/3 or r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(18\/(-3))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305 + -2742?\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {k: 2, c: 1, u: 1, t: 1, b: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4386, 8538, 12692, 16848, 21006, 25166?\n\"Answer: j**2 + 4149*j + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(36)\/sqrt(3) + -4 + sqrt(12) + sqrt(36)\/(-2*sqrt(3))).\nAnswer: -3*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/21 + (-841744)\/4256. Let j = 197 + p. Let m be (-1)\/3 - 2\/3. Is m greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + s**4 + 0 + (42 - 45 - 6*s - 6*s)*(-4*s**3 - 2*s**3 + 4*s**3).\nAnswer: 25*s**4 + 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 - -92. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.437 + -6.49714. Let g = 0.02 - 0.08. Let a = g - j. What is a rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 10, -5, -4, 20.\nAnswer: -11, -5, -4, -3, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(3\/5))\/(w*w\/(w*w**(-3)*w)))\/(w**10*w*w\/(w\/w**(-3\/7))))**1 assuming w is positive.\nAnswer: w**(-419\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjnjjn. Give prob of picking 1 n and 1 j.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6916 + 1.1916. What is the second smallest value in 2\/15, -0.3, -1, 4, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230778115 to the power of 1\/2, to the nearest integer?\nAnswer: 15191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201*0.1.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32285745 to the power of 1\/2, to the nearest integer?\nAnswer: 5682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46372?\nAnswer: 2, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(4 - (2 + 3)). Let t be (-2)\/2 - -1 - -40. What is the highest common divisor of i and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.001\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 26*y**2 + 185*y - 98. Determine i(-6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**2 + 6*l**2 - 5*l**3 + 6*l**3 + 3*l**3 wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seeessessesseses. Give prob of picking 1 e and 2 s.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5700) + 1*sqrt(5700))\/(6*-2*sqrt(3))*-1*6.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1954 + 1650 - 2595)*(-1 - 4*o + 2*o - o) as t + l*o and give t.\nAnswer: 2899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11265888 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*j - 2, 3*y - 5 = -2. Let s(q) = -4*q + 3. Let m(o) = -3*o + 4. Let g(v) = 3*m(v) - 4*s(v). Determine g(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-14 - -15 - 27).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*2 + 1. Let c(u) = 0*u + o + 2 + u. What is the units digit of c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 111*70\/30 + 5. What is the greatest common divisor of r and 2024?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 8.5. What is the biggest value in p, 0, -0.04?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -2\/199 (c) 3\/4 (d) -24\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/4 - 37*i**2 + 1269*i = 0 for i.\nAnswer: 0, 54, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2545 + 0.4545. What is the biggest value in n, 31, -2\/9?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**5 + 45040*b**4 - 3804532*b**3 + 79998224*b**2 + 3804528*b - 80043264 = 0.\nAnswer: -11344, -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 1 = 3*x - i, 4*x - 2*i - 54 = 0. Solve -12*w = -x + 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quy when three letters picked without replacement from {y: 2, t: 2, q: 4, u: 2, w: 3, o: 2}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1889\nAnswer: 188.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 98 = -4*y + k, -3*k = 4*y - 101. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 4. Let t(l) = -4*l + 5. Let w(g) = -7*k(g) - 6*t(g). Let r(m) = 5*m - 3. Give -4*r(p) + 7*w(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35092597 is divided by 2924383.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 2*p**2 + 3*p + 6. Calculate x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8088463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5107, -5112, -5119, -5128, -5139, -5152, -5167?\nAnswer: -5184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 1, n: 1, p: 2, f: 4}. What is prob of sequence nt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urc when three letters picked without replacement from cuccuurccucr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -17. Find the third derivative of 13*h**2 - 4*h**3 - u*h**3 + 2*h**3 - 11*h**2 wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 35138*o**2. Let x(c) = c. What is x(p(y))?\nAnswer: 35138*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 33. Let i = 0.0741 - -4.9259. What is the closest to -65 in b, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5721*l - 1437*l + 5299*l to z*l + q and give z.\nAnswer: 9583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1492.8 - 1493. Let q = 0.7 + -0.2. Let d = q + 0. Which is the biggest value? (a) v (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - y + 12 = 0, -x + 2*y = -0 - 6. Let j be 14\/x + (-3)\/9. Suppose 0 = 4*p - j*p - 2. Solve -2*b = -2*f + 2, 5*b = -f + 3*f + p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*u - 104 = -3*r, 3*r + 2*u = 73. Suppose -3*h + 11 = -r. What is the least common multiple of h and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 57 - 6 + t.\nAnswer: t - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*n = 368*n - 711*n - 152 for n.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 4:19 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 11:17 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 - 4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 148, 5, -3 in ascending order.\nAnswer: -3, 1, 3, 5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 + -2 + -1). Solve 0 = 5*h - j*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14452 + 52303?\nAnswer: 33411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = -2*i + 57, 22*y - 17*y - 33 = -3*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 122*i = 120*i - 4, -p = 4*i + 29. Solve -x - 3 = -p*k, 3*k + 2 = 5*k + 4*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 104 and 31848.\nAnswer: 31952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -22*t. Let h(m) = -41*m + 294. What is -h(c) + 2*k(c)?\nAnswer: -3*c - 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(14)\/sqrt(2))**2 + 0 + 2*sqrt(567)*3.\nAnswer: 12 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 123, 270, 475, 738, 1059?\n\"Answer: 29*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 38500 = -b, 83*f + 19255 = 84*f - 3*b. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34980740 divided by 34980740?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 - q + 0*q**2 - q + 3*q**2 + 578. Let t be d(0). Suppose 142 + t = 10*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2 + 6 + (-72)\/8. Let j be (5\/60)\/(3\/6). Which is the nearest to t? (a) -2\/7 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499119 divided by 6?\nAnswer: 1499119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 0*t - 6*t. Let h(c) be the first derivative of 2*c**2 + 13*c + 18. Let w be h(-3). Give y(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 19. Let o be t(11). Suppose 0*k = -o*g - k + 274, 5 = 5*k. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 5*x - 2. Let y(j) = j**2 + 9*j - 7. Let b(a) = -a**2 - a - 1. Let l = 81 + -79. Let s(f) = l*b(f) - y(f). Give 5*o(h) + 2*s(h).\nAnswer: -h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*h**2 - 158917212*h - 45404916.\nAnswer: -3*(h + 7567486)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -111*i**2 - 2430*i - 8. List the prime factors of l(-17).\nAnswer: 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -16*p - 145. Let t be m(-9). Let u(x) = 0*x**2 + 1 + 0 + x**2. Determine u(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g + 47. Let d be f(5). Let b = -5 + 12. Let w = d + b. Which is greater: -8\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-90)*(-630)\/(-70)*4\/15?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -73. Let a = h + 34.7. What is the closest to -2\/7 in 0.4, a, 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-1 + 5 - 3)*(0 - 2 + 4)*(6 - 3*n - 6).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*h**2 + 772*h**2 + 6*h**2)*((0*h - 2*h + h)*(4 - 4 + 2) - 3*h - h + h)*(-h - h + 0*h).\nAnswer: 8550*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75910168.\nAnswer: 2, 17, 19, 29, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(3) - (sqrt(3) - sqrt(24)\/(-1*sqrt(8)))))\/((sqrt(864)*1)\/sqrt(9)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(99)*2) - (sqrt(48)\/sqrt(4) - (sqrt(6)\/sqrt(2) + -2)).\nAnswer: -2 - 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130930866, -261861733, -392792600, -523723467?\nAnswer: -654654334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 1227.1?\nAnswer: 1227.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -14. Suppose -a + 2*a = -h. Let o be 4\/(-3)*(-540)\/(-72). Is o < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.922481 millennia to months.\nAnswer: 71069.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krr when three letters picked without replacement from {h: 4, k: 11, r: 3}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.62 - -0.38. Let r be 2 + (2 - 0) + 58. Suppose -4*v + r = 18. Is f greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 107*g**2 - 3*g + 1. Let v = -146 - -147. List the prime factors of r(v).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 1669 = 2208 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 r, and 1 i when four letters picked without replacement from {k: 1, u: 8, p: 4, i: 2, r: 1}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**4\/12 + 4*x**3\/3 + 13*x**2. Suppose -4*q + 4*o = 28, -4*o + 2 + 2 = 4*q. Let d be r(q). Solve d*b - b = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 + -170. Which is the second smallest value? (a) -2 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 0 + 10. Let s be -4*(-4 - (-2 + -1)). Suppose x + s = -k - 2*k, k - z = 3*x. Is -1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/17)\/v*v**(-4)*(v**3)**(30\/11) assuming v is positive.\nAnswer: v**(617\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 28*a + 247. Let n be u(-9). Put 3, n, -2, 16 in decreasing order.\nAnswer: 16, 3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 3. Let r(g) = -2*g + 3. Let m(f) = f**3 + f**2 + f - 3. Let w be m(0). Let y(j) = w*r(j) - 4*o(j). Differentiate y(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 516*x - 516*x + 2*x**3 - 8*x**4 + (2*x**2 + 2*x - 2*x)*(2*x**2 + 2*x**2 - 2*x**2).\nAnswer: -4*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-24) - ((-56)\/(-12) - 4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p = 53*p. Let t(b) be the third derivative of 0*b**3 + 0 - 1\/3*b**4 + 1\/15*b**5 + p*b - 2*b**2. What is the second derivative of t(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*o = -337*o + 14. Let b(w) = 101*w**2 - 97*w**o + 0 + 0. Let f(l) = -3*l. What is f(b(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**3\/6 - 4*u**2 - 6*u. Calculate i(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 31*z. Let h(w) = -7*w**2. What is h(b(q))?\nAnswer: -6727*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 22 = k, -3*l + 2*l - 10 = -5*k. Suppose -4*x - r = 235, 7*x - 4*x = -l*r - 155. Let d = 154 + x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3*z**4\/8 + 93*z**3\/2 + 5733*z**2\/4 - 36015*z\/2 + 5395. Factor j(r).\nAnswer: 3*(r - 5)*(r + 49)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:39 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309.\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18 and 0.11?\nAnswer: 17.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(6\/11))\/y**(-4) assuming y is positive.\nAnswer: y**(49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * 7.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*s - 2481, 301*s - 302*s = 3*g - 489. What is the highest common factor of 765 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 8*r - 11. Let x be b(-5). What is the derivative of 6 + 2*k**x - 1 + 3*k**4 + 0*k**4 wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -28396423.4?\nAnswer: -28396423.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101890 and 4646.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136402489 to the nearest integer?\nAnswer: 11679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 79 = -4*d, 0 = -3*j - d - 29 - 32. Let p = -16 - j. Let x = -1 + 3. What is the remainder when p is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -170, -161, -138, -95, -26, 75?\n\"Answer: c**3 + c**2 - c - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-8)*(-53 + -82 + 79).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 26*u**2 + u - 1. Let w be z(2). Let v = 190 - w. What is the greatest common divisor of 34 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 12. Suppose 0 = -q - 3*q + u. Suppose 3*m + 11 = -z, -q*m - 2*m - 8 = 3*z. Solve -k + z*k = 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3858*p - 550. What is the remainder when w(3) is divided by 269?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 5) in base 7?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2993715 nanometers in micrometers?\nAnswer: 0.0002993715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -2 + 0*k**2 + 1\/3*k**3 - k. Factor i(l).\nAnswer: (l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + ((-21)\/(-9) - -2). Put -0.5, -0.3, y in descending order.\nAnswer: y, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 645 in increasing order.\nAnswer: -5, -3, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**4 - q**3 + 705*q**2 - 126739 wrt q.\nAnswer: 4*q**3 - 3*q**2 + 1410*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -0*q - 7*q. Suppose -5*j + 3*z + 0 = q, -4*z = 3*j - 26. What is the lowest common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r**2 - 52*r**3 - 18*r**2 - 22*r**2 - 16*r**2 - 117*r**3.\nAnswer: -169*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1707*y**4 + 9197.\nAnswer: -6828*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 22*b - 5. Let x(l) = -11*l + 2. Calculate 5*x(d) + 2*y(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*p - 7 = 0, 5*w + p + 4 - 11 = 0. Suppose -5*m + 24499999 = -d, 2*d - 9800002 = -w*m - 0*d. What is m rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 70 = -o + 10, -4*o - 4*y + 304 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101 + 1111011001110111?\nAnswer: 1111011010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -z - 2*b - 5, 0 = -5*z + b + 25 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-418)\/(-6) + (-6)\/(-18)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 6:20 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 5*v = -34*s - 35, 10*s - 13*s + 22*v = -17 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 - y**2)*(1 - 73 - 99) - 345 + 345 + 14*y**2.\nAnswer: 185*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/60825 - 5291663\/3406200. Calculate the common denominator of 18\/(-160)*148\/(-3) and o.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1720, 3444, 5178, 6928, 8700?\n\"Answer: d**3 - d**2 + 1720*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:38 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 23. Suppose 5*f - 100 = f. What is the remainder when f is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 3*y**3 - 13*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-24)*4)\/(12\/18)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*z**2 + 221*z**2 - 1 + 1 + 216*z**2.\nAnswer: 80*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, 0 in increasing order.\nAnswer: -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/1708135 and 109\/119450.\nAnswer: 17081350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*t**4 - 3*t + 72*t**2 + 6 + 39*t**3 - 37*t**3 + 9*t**4 + 3 - 71*t**2 as x + f*t**3 + h*t**4 + b*t**2 + o*t and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 174*t = -178*t + 34, -6*t = i - 44 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-n + 7*n - 3*n) - 119*n - 821 + 821 + (3 - 2*n - 3)*(5 - 1 - 1).\nAnswer: -122*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.03786 nanoseconds in microseconds?\nAnswer: 0.05503786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -64.22?\nAnswer: -64.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*g = -76*g - 8778 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/12 - 7*a**3\/6 + a**2. Suppose -12 = -6*j + 4*j. Determine s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3776102 and 2298.2706?\nAnswer: 3773803.7294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 2 - 8*t**2 + 3*t**2 - 14. Let m(b) = 9*b**2 + 2*b + 23. Let q(w) = -11*c(w) - 6*m(w). Determine q(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200) + 0 + sqrt(200))**2 - (sqrt(6)\/sqrt(3) + 0).\nAnswer: -sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30430338 divided by 1049322.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**5*h)\/h*h\/h**4)\/((h**(-2\/3)\/h)\/h**11) assuming h is positive.\nAnswer: h**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v + v. Find the common denominator of -3 + (-63)\/28*26\/(-12) and 436\/10*v\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 < -111500211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**10*b**(3\/5) assuming b is positive.\nAnswer: b**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 7 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*v**4 - 835*v**3 - 130*v**2.\nAnswer: 5*v**2*(v - 13)*(13*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. Let f = -1.3 - d. Which is the nearest to -1? (a) 3\/7 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -18. Solve -i*y = -4 - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49\/2 or -25?\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*l + 575*l - 40 = 5*c, -3*l + 91 = 53*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okfkopokpok. Give prob of picking 2 k and 2 o.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563 divided by 16.\nAnswer: 563\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 0*o - o**2 + 1 + 2*o - 2*o - o. Let k be d(-1). Solve -3*n = k + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = 32. Let y = -235 - -220. List the prime factors of q\/y*-15 + -4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - 25\/3. Let k(j) be the second derivative of -j**4\/12 - j**3 + 5*j**2 - 12*j. Let l be k(y). What is the third smallest value in l, 1\/11, -1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 3:33 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9450 take away -0.13852?\nAnswer: -9449.86148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**2 - 6*z - 9. Let j be d(12). Suppose 0 = -3*a + 3*v + j, 73 = 2*a + v - 539. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)*w**16*(w\/(w*w**(-23)*w))\/(w\/w**(-3)) assuming w is positive.\nAnswer: w**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 79. Let b = q - 46. Solve 11 = 3*i + 5*z, b = 3*z - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n = 74*n - 20*n - 918. Let a be (3 + 1)\/(-4) + 239. What is the highest common divisor of n and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13305617.\nAnswer: 13, 359, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3517 * 4\nAnswer: 14068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 52*o**3 + 5*o**2 + 19*o - 300. Let m(f) = -11*f**3 - f**2 - 4*f + 60. Give 3*j(k) + 14*m(k).\nAnswer: 2*k**3 + k**2 + k - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u + 16*u)*(-190*u + 190*u - 14*u**3).\nAnswer: -224*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813202 to the power of 1\/2, to the nearest integer?\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935802087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(14*c + 13*c + 4*c)*(-3 + 1 + 8) to the form p*c + b and give p.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14 - 52\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59744618.\nAnswer: 2, 3853, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -194417273\/2 >= -97208638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6100 by -5.\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -o - 2940, -4*o + 1060 = -5*z + 12730. Is -2909 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1445, -2994, -4541, -6086?\n\"Answer: b**2 - 1552*b + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31 + (-12)\/(7 + -4). Let j be 573\/d - 1 - (-6)\/(-27). Suppose j = -2*w + 7*w. Solve w*i = -3*f + 20, 0*f - f - 4*i + 20 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59832.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(((x*x**35)\/x)\/x))\/(x*x**(-32))*x\/(x*x**(2\/33)*x)*x*x**2 assuming x is positive.\nAnswer: x**(31\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6726 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26617339 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22413, -44748, -67013, -89208, -111333, -133388?\n\"Answer: 35*r**2 - 22440*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(612) - (sqrt(612)*2 + 4) - ((1 + sqrt(612))*-6 - sqrt(612)) - ((sqrt(612)*1 - sqrt(612)) + 5 - (-2*sqrt(612)*-2 - sqrt(612)))))**2.\nAnswer: -2916*sqrt(17) + 446229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64.022478 from 0.2.\nAnswer: -63.822478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21448*w**3 + 311166*w**2 wrt w.\nAnswer: -128688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b)\/(b\/(b\/b**(-2\/5)))*b**(4\/5)\/(b**(-1)*b) assuming b is positive.\nAnswer: b**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 843, 1867, 3291?\nAnswer: 5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 4. Let u be r(-9). Suppose u*l - 20 + 0 = 0. Suppose -4*j - l*o = -592, 4*j + 5*o - 136 = 451. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 1, m: 5}. Give prob of picking 1 m, 1 q, and 1 x.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*q + 1, -2*q = 2*q + 12. Let a(b) = 64*b**3 - b**2 - 2*b - 2. Let h be a(o). Does 9 divide h\/(-3) - 2*1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - -6*4\/16. Solve -n*s + 0*s + 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (929*q + 156*q + 50*q)*(3*q - 4*q - q) in the form h + g*q + c*q**2 and give c.\nAnswer: -2270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70387437\/35 or 2011069?\nAnswer: 2011069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882*j - 872*j - 3*a = -4*a + 49, -2*a = -3*j + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -1\/24*g**4 + 1\/60*g**6 - 1\/30*g**5 + 0*g + 1\/6*g**3 + 0 - 1\/336*g**8 - 2*g**2 + 1\/210*g**7. Factor n(p).\nAnswer: -(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*p + 70 - 4 = 0, -9*q + 5*p - 169 = -20*q + 10*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 74*d**2 - 4*d - 4. Let u(l) = -19*l**2 + l + 1. Let i(z) = o(z) + 4*u(z). Let c(r) = 2*r - 2*r + 2*r. Determine c(i(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) + (sqrt(136) - 1*sqrt(136)) + sqrt(136)))\/sqrt(8) + -1*sqrt(17)*-6.\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15093721.\nAnswer: 47, 321143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 8 - 0. Let k be (-1)\/(186\/(-46) - n). What is the greatest common factor of 207 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 703666612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 39*r**2 + 22*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*-0.03065\nAnswer: -0.005517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6611425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-3 - -3) + 2. Let h = 5 + t. Let o(y) = h + y - 3. Let g(n) = 5*n. Give g(o(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**3 - 32*x**2 + 272*x + 1386. Give j(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -20) + (141 - 137)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m. Let x be 7\/(-3) - 793\/(-312). Let t(j) be the third derivative of -x*j**4 + 0*j**3 + 0 + 0*j + 16*j**2. Calculate t(q(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*p + 350 = 0, 2*h + 2*p = 3*p + 136. Let o be (-2)\/6 - (-28)\/h. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1216) - sqrt(19))*-3)**2.\nAnswer: 126*sqrt(19) + 8388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1334 + -1424. Which is the fourth smallest value? (a) 0.5 (b) -1 (c) j (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 = -4*g, 2*g - 3*l - 5 - 14 = 0. Suppose -5*v + r + 601 = 0, r - 489 - 110 = -g*v. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 15*t**2 - 13*t - 24. Let b be (-122)\/(-10) + 29\/5 + -6. Is 14 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.638048 + 28\nAnswer: 25.361952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1236879506 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 900123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 92 = -4*k - 5*p, 6*k = 4*p + 126 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064229278 rounded to 5 dps?\nAnswer: -0.06423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 10*n**2 + 16*n. Let p be v(-8). Let u be 2 + (p + -3)\/(-3). What is the greatest common divisor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*g + 4615416 - 21415408, -2*g = -4*x + 16799996. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*g + 14 = 0, 9*g - 7*g = -x - 12. Is (x + (-118)\/(-5))\/(52\/390) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/9 - 20*x\/9 + 100\/9.\nAnswer: (x - 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 2, m: 1, i: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.071324*-0.077.\nAnswer: 0.005491948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156383 + -103383. Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**9\/126 + t**5\/6 - 25*t**2. What is the third derivative of i(b) wrt b?\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(1331) + -2 + 4) - (1 + 5*(sqrt(1331) + sqrt(1331)*-1)*-2))**2.\nAnswer: -88*sqrt(11) + 21297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28399125.\nAnswer: 3, 5, 75731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -h - 0*h - 4, r = -3*h + 16. Suppose 11 = r*s - 5. Let f = s + 0. What is the highest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffwwf. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((318\/(-424))\/(9\/(-8)))\/(4\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkm when three letters picked without replacement from mmqqmmmmmqkmmmmm?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-72))\/(442\/(-102)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 297969932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 250. Let z = 0 - -10. Suppose 0*b + z = b. What is the greatest common divisor of q and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4 minus -14555.3047?\nAnswer: 14563.7047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 2*w. Suppose 0 = -q + 9*q. Let m be d(q). Solve -5\/2*z**2 - 1\/2*z - z**5 - 7\/2*z**4 + m - 9\/2*z**3 = 0 for z.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -2*u + 36 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -745, -1120, -1497?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 61. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 0.32, -3\/2, -2\/9 in descending order.\nAnswer: 1, 0.32, -2\/9, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6741123*d*f**2 - 3*d*f - 30*d - 158511 wrt f.\nAnswer: 13482246*d*f - 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 4*h**3 + 0 - 5*h**3 - 2 + 2*h to the form q + x*h**3 + b*h + m*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40859821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2585 and 15?\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 1 v when three letters picked without replacement from {v: 2, m: 4, l: 4, n: 1, g: 2, s: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.1 or -2\/351?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 2*z + 2. Let k be x(-2). Suppose -5*d + k*d + 5*r - 19 = 0, -5*d + 5*r = 15. Find the second derivative of -d*l + 0*l**4 - 3*l**4 - l wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 45*k**2 - 44*k - 92. Give l(46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 3*o + 5*o)*(-2 + 6 + 0) + 0*o + 0*o + o + 364 - 123 - 3003*o - 2089*o - 117 - 124.\nAnswer: -5095*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 35 = 7*u - 2*u, 0 = w + 4*u - 22. Sort -3\/10, 0, w, -7, 3 in decreasing order.\nAnswer: 3, w, 0, -3\/10, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -12*w + 1\/20*w**5 + 0 - 1\/6*w**4 - 1\/3*w**3 + 3\/2*w**2. Calculate f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80189 is divided by 3188.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + 7 - (-1 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -813 + 1553. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 10*w + 20. Let v = 24 + -32. Let y be f(v). Solve -2 = -2*p + y*c, -4*c = -3*p - p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1791 (b) 3 (c) 221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 16*m**2 + 15*m + 7. What is s(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60696 and 4495719?\nAnswer: 323691768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.27, -937, 5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -10442?\nAnswer: -10441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027158538 rounded to 7 dps?\nAnswer: -0.0002716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/18*6\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -14ca1?\nAnswer: 14ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5349 and -0.115?\nAnswer: -615.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -d - 10 - 12 - 10, 212 = 4*d + 158*w for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26381 is divided by 272.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u**(2\/51))\/u)\/(u*(u**(-13)\/u)\/u))\/(u**(5\/2)*u\/(u\/(u*u**(-1\/11)*u*u))))**23 assuming u is positive.\nAnswer: u**(248515\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4246 is divided by 3102.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110773023 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2938*x - 22. Let b be h(-17). Let c = -137968 - b. Round c to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/60)\/(1*(-8)\/10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6527658 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.249 + 11.249. Put -4\/5, 120\/7, j in increasing order.\nAnswer: -4\/5, j, 120\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from {y: 2, k: 11}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/4 - 15*w**4\/2 + 6*w**3 + 84*w**2 - 36*w - 216 = 0 for w.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5528 divided by 60509.\nAnswer: 5528\/60509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 529.7 + -529.7. Which is the nearest to u? (a) -2\/5 (b) -3 (c) 37\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 360652 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-10) - 3\/60)*-4. Let x(m) = 6*m**3 - 2*m**2 - m + 2. Calculate x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54, 4\/19, 1.17, 4?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -105 - (-8 + -10) - (1 + 5 - (94 - 86))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 9351636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 - -1000?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -12, -40, -70, -102, -136, -172?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1 + (-1 - 4 + 2)*(1 - 2 + 0))*(-7*g**4 + 10*g**4 + 5*g**4).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.01 - 797.99. Let k = -802.71 - i. Let b = k - -0.11. What is b rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + k + 3*k**2)*(1 - 6 - 3 + (-5 + 3 + 0)*(-4 + 0 + 2))*(-2 - 2 + 5) as r*k**2 + h + w*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:48 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-3 + 5))\/(-7). Suppose 1 = 4*i + 2*g - 5, -7 = -2*i + 3*g. Let a = -6 - -5. What is the closest to i in q, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z = g - 1, z - 5 = -5*g. Suppose z = -3*n + 84 - 6. Calculate the remainder when 181 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 326325092 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/(-1)*25\/405 and 61\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 28\/9 (c) -35\/3 (d) -0.245 (e) -1 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 5 - 4)*(0*j + 5*j - 4*j) - 15*j + 76 - 76)*(-23*j + 40*j - 11 - 19*j) to s*j + b*j**2 + q and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - -2*6828\/8. Suppose 1365 + g = -5*m. Is (-3)\/6 - m\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033617 to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 + t**3\/2 - t**2. Let d(o) = 4*o**2 - 9. Let u(j) = 7*a(j) + 2*d(j). Find the first derivative of u(h) wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - p = -8, 4*w - 5*p - 15 = 2. Let r be (-3 + 18)*(w + 73\/(-25)). Let -12\/5*v**3 - 3\/5 + 21\/5*v**2 - r*v = 0. Calculate v.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78870568 divided by -28\nAnswer: 2816806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + u**2\/2 + 3*u - 3. Let j be t(0). Suppose 36918 = j*d + 4818. Round d to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247 a factor of 2840183040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 h when four letters picked without replacement from {h: 5, j: 5, e: 1, r: 6}.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 f when four letters picked without replacement from {j: 3, g: 1, f: 11}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 150\/36 + 1\/(-6). Find the second derivative of 27*i**4 - 5 - 4*i + r*i**4 + 26*i**4 wrt i.\nAnswer: 684*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c + 5*h + 8, -5*h = 2*c + 7. List the prime factors of ((-2)\/6)\/(c\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2 + 22*(-4)\/(-16). Suppose -5 = -5*b + 3*x, 5*x = 3*b + 20 - s. Suppose -1197 = -b*a + 1615. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 35 - 50. Suppose -k = -0*q + 2*q - 6, -2*q = 4*k - 30. Calculate the remainder when k is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 + -303.9. Let y = v - -298.1. Is y less than -3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 2*c - 2*c + 17*c - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101872.6 centimeters in micrometers?\nAnswer: 1018726000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1050) + sqrt(42))\/(sqrt(726)*1).\nAnswer: -4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -105?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqiii. What is prob of picking 3 q?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.98 + -0.02. Suppose -3*k - 5*i - 140 = 0, -2*i - 226 = 5*k - i. Let p be (4\/(-14))\/(k\/(-35)). Which is the nearest to 0.14? (a) y (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 4118*a**2 + 2515328*a + 385952952.\nAnswer: 2*(a + 231)*(a + 914)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1) + (7 - 219\/21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -21\/5*x**5 - 8 + 0*x + 12*x**4 - 11*x**3 + 3*x**2. Determine q so that v(q) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 14. Solve o = -m*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.8586 millilitres in litres?\nAnswer: 0.2848586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6783397 (base 10) to base 6.\nAnswer: -401220341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**8\/1008 + f**7\/14 + 241*f**6\/360 + 443*f**5\/180 + 29*f**4\/6 + 50*f**3\/9 - 3686*f**2. Find d such that n(d) = 0.\nAnswer: -2, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*z)*(-20*z**2 - 45*z**2 - 30*z**2) + 9 - 7 - 4*z**3 - 2 in the form l*z**3 + p*z + k + a*z**2 and give l.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/12 - 5*m**3\/6 - m**2\/2 + m. Let l = -16 - -11. Calculate c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 278 - 400 = 0. Let f = -54 - i. Solve -f*j = -7 + 42 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1*(-4 - -9). Let m be (-460)\/(-30) - 2\/c. Let l be (-1)\/1*(0 + -3). Solve -4 = -l*x - m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(3 + sqrt(605)))**2 - (-5 + 6*(sqrt(180) - (-4 + sqrt(180))))**2.\nAnswer: -16939 - 1782*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000000101001 (base 2) to base 9.\nAnswer: 24470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3726071 - -4180651121\/1122. Let y = -37\/66 - w. Let j = y - 133\/255. What is the closest to 2 in -2, 2\/5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 12 = -v, -36*c - 3*v - 32 = -32*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:07 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455902153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = -12*s - 174192. What is s rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26862 + -26861.9709414. Let o = h + -0.0282. Round o to 5 dps.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:42 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231238 and 1328.\nAnswer: 1849904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*((-34)\/(-18) + (-20)\/90). Let c be 2 + 0 - 3*2. What is the closest to 1 in c, l, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 36232 (b) 0.3 (c) -215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4.7. What is the fourth biggest value in 1, y, 3, 5\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 + 325. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(3 - (-372)\/(-120)). Let q = 4 + 11. Let b be (3\/q)\/((-2)\/(-10)). Put -14, 4, j, b in increasing order.\nAnswer: -14, j, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven fifteenths of a week?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 0 + 9*b**2 - b**2 - 12 in the form i*b**3 + p*b + u + l*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4371 and 10959213?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwbbbwb. Give prob of picking 1 w and 1 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50707, 203013, 456943, 812497, 1269675, 1828477, 2488903?\nAnswer: 3250953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -81, -177, -311?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 1. Let l(y) = -4*y**2 - 3*y + 6. Let d(i) = l(i) - 3*m(i). What is the derivative of d(o) wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 1.584.\nAnswer: 12.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 5*h**2 + 2*h - 7. Let q be u(5). Let l = -29630 + 29257. Is q at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-70)\/(-100))*(-1)\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -583, 0.052, 4, 3, 1\/3 in decreasing order.\nAnswer: 4, 3, 2, 1\/3, 0.052, -1, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (2 - 6)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 53*l - 15. Let p be j(26). Let a(u) = -u**2 + 10*u + 17. Let b be a(p). Suppose 338 + 4 = b*c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-2*(-1)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -2)*(-6)\/8. Let d = 0 + 1. Which is the closest to d? (a) 0.3 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54804353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 133177*i + 1731446. Calculate l(-13).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -1, 5, -32 in decreasing order.\nAnswer: 5, 3, -1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 + -179. Calculate the common denominator of 8\/39 and 3 - (41\/(-15))\/(r\/(-5)).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 45.535756 and -8476.\nAnswer: -8430.464244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-210)\/12) + 231\/(-49).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*r + 4. Let j be 6\/((-2)\/((-16)\/12)). Let v be j - (3 + r)\/(-3). What is the greatest common divisor of v and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 739404 = 23*o - 462530 + 404409. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297 (base 11) to base 6\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 5*v**2 + 2*v - 4. Let y be (-2)\/((-3)\/2 + 2). Let j be i(y). Suppose -2*l = -10 - j. What is the greatest common divisor of l and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ad7 (base 16) in base 15?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 0 + 0 + 3 - 6*d - 3 + 0 + 0 - 2*d + d + 3*d - 2*d + (0 + 3 - 2)*(-d + 2*d - 2*d) + 2*d + 0*d - 2 - 8.\nAnswer: -7*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 7 = 3*k + 28, 3*k - 3*n + 27 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11655 + 11654.99983737. Round x to 6 decimal places.\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -1287?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/((a\/a**(-8\/13))\/a))\/a)\/a**(-5))\/(a**21\/a*a\/(a\/((a\/(a**(-2\/11)\/a))\/a*a))*a))**(-2) assuming a is positive.\nAnswer: a**(5376\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 4:03 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f - 7. Let c(g) = g - 8. Let j be c(4). Let x be a(j). Let q be -2 + (14 - (0 + 2)). Calculate the greatest common divisor of x and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 919*c**3 - c**2 + c + 1. Let v be x(-1). Let k = 1324 - 2951. Let p = v - k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1202412 (base 5) to base 11\nAnswer: -15781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**2 + 820*l + 5100 = 0.\nAnswer: -6, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-46)*t**(-6)*t**13 assuming t is positive.\nAnswer: t**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 5*w - 3. Let k be c(-4). Let f be ((-27)\/(-21))\/(k + -6). Put 0.4, 0.2, f in increasing order.\nAnswer: 0.2, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5289 + 36711 = 80*a. Solve -489 + a = 4*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(176))\/(3*sqrt(16)\/sqrt(4)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * 1561830.\nAnswer: 359220.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603119561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 5*n**2 - 4*n**2 + n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 82?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - 0. Let p = -7 - j. Suppose 0 = -p*y - 3*y - 2*w + 21, 14 = 2*y - 2*w. What is the greatest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b. Let f(z) = 1122*z. Let w(d) = -19*d. Let o(y) = -3*f(y) - 176*w(y). Give o(m(h)).\nAnswer: 66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 14\/3, 0, 16.9, -0.1, 1\/5 in decreasing order.\nAnswer: 16.9, 14\/3, 1\/5, 1\/8, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/120 + 2*l**5\/15 - 3*l**4\/8 + 19*l**3\/6 - 163*l**2. Is 44 a factor of o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -16038*z + 112150. What is r(7)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r. Let c(z) = -57*z - 35. Let h(t) = -86*t - 49. Let w(u) = 7*c(u) - 5*h(u). Give w(q(d)).\nAnswer: 434*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 156\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 18294 + 26254 = 0. Suppose -2*k = -1448 - c. Calculate the highest common factor of k and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*1 - ((sqrt(1225) - 1*sqrt(1225)) + sqrt(49)))\/(sqrt(84)\/((-4*sqrt(132))\/sqrt(11))).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3845825 divided by -85\nAnswer: 45245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 3\/4, 134217 in increasing order.\nAnswer: 3\/4, 3, 5, 134217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219 - 197. Let h(t) = 7*t**3 - 44*t**2 - 23*t - 102. Let z(l) = 11*l**3 - 66*l**2 - 35*l - 153. Let q(y) = -8*h(y) + 5*z(y). Is q(b) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*h**3*v**4 - 59*h**3*v**3 + 2*h**3*v**2 - 11*h**2 - 169*h*v**2 wrt v?\nAnswer: 816*h**3*v - 354*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/15 (c) -0.1 (d) 13\/40 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*g + 76*g - 841 + 2821 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 + -3)) + (-3 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12.1332 and -5047916?\nAnswer: 5047903.8668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*c - 6*c. What is the third derivative of 15*h**2 - 2*h**6 - 6*h**c - 53*h**3 - 4*h**2 - 10*h - 3*h**2 wrt h?\nAnswer: -240*h**3 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 7*t - 7. Let s be f(4). Suppose 0 = -5*k + 4*k + 2. What is the second derivative of -2*h - 3*h**2 + 0*h + h**2 + s*h**k wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45361 and 5?\nAnswer: 226805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*(-14)\/(-21). Is 134*(0 - u\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5703 + -0.4.\nAnswer: -5703.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6666 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3782, -3483, -2994, -2315, -1446, -387, 862?\nAnswer: 2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31880, -32012, -32142, -32270, -32396, -32520, -32642?\nAnswer: -32762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/7))\/p)**(-7\/2))**(-4\/5)\/((p**(-2\/7))**(-19)\/(p\/p**1*p**(-3))) assuming p is positive.\nAnswer: p**(-267\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7925032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 + 129 = -13*t. Let u(l) = -l**2 + t - 10*l + 2*l - 9*l - 4*l. Let d be u(-12). What is the highest common divisor of d and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - 12 - 7*i + 0*i**2 - 7*i**2 + 9*i. Let o = 2 - -4. Let n(s) = -6*s**2 + 7*s - 11. Let g(d) = o*n(d) - 5*y(d). Calculate g(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -3 + 1\/2*d**3 + 0*d + 0*d**2 + 3\/8*d**4. Factor u(x).\nAnswer: 3*x**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(6\/7))**(-29) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 8:37 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/(z\/((z*z**(2\/9))\/z))*(z\/(z\/(z*z\/(z\/(z\/(z*z*z**(-3)))))*z))\/(z**(-1\/7)*z))**(4\/7) assuming z is positive.\nAnswer: z**(29\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + 1 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) -1 (c) -0.053222 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3)*36\/(-8). Let h be (-3)\/(4 - 1\/(1\/i)). Sort -6, 3, 5, h in decreasing order.\nAnswer: 5, 3, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*i - 31 - 50*i - 50*i.\nAnswer: 2*i - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + -0.52. Let v = 0 + 0.4. Let i = -0.2 + v. Which is the closest to i? (a) 2\/7 (b) -2\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 51. Let z(y) be the first derivative of -2\/5*y**4 - 2\/3*y**3 - 2\/25*y**5 - 2\/5*y**2 + 2 + a*y. Factor z(o).\nAnswer: -2*o*(o + 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10569)\/(-27) + -2 + -5 + (-82)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10837.9502 to the nearest ten.\nAnswer: -10840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14367*p = -14584*p + 1736 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 2419128*g + 731522535048.\nAnswer: 2*(g + 604782)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -3, 2, 0 in descending order.\nAnswer: 10, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -4. Let m = 14.9 + -11.9. Sort 2, m, q in ascending order.\nAnswer: q, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11193100.\nAnswer: 2, 5, 173, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 147 = 2*d + 3*o, -3*d - 5*o = -187. Suppose 4*c - c = d. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3080 and 784.\nAnswer: 43120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhh. What is prob of picking 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**3 - 647*m**2 - 404*m + 16871. Determine i(59).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -24, -2733, -15.\nAnswer: -2733, -24, -15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6653 + 0.6653. Which is the fourth smallest value? (a) -2 (b) -12\/35 (c) y (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8383 is divided by 289.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-12 + 1)) + (-1 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bao when three letters picked without replacement from {w: 2, t: 4, o: 4, b: 7, a: 1}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o + 5. Suppose 5*j + f = 0, j + 4*j - 2*f = 0. Let r be h(j). Suppose -a = 3*u - 1816, -r*a - 5*u + 9030 = -0*u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382a3 (base 15) in base 8?\nAnswer: 536426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217472*c**2*k - 698*c*k - 23*c wrt c?\nAnswer: -434944*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351566652 and 6380520.\nAnswer: 3515666520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:58 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 1. Suppose 0*a = a + 2*w + 7, -4*a + 16 = -3*w. Let v be m(a). Solve 0 = 3*j - v - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254 - 127. Let o = s + -97. Calculate the greatest common divisor of 24 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3754 in 0.3, -1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q**3 - 11*q**3 - 13*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 350277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2959 - 1702 + 2*f + 373 + 922 + 5398.\nAnswer: 2*f + 7950","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14040001.\nAnswer: 14040001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140825 is divided by 436?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27489, 55786, 84083, 112380?\nAnswer: 140677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -612*j**3*q - 38*j**3 - 133*j**2 + 1541*q wrt j.\nAnswer: -3672*q - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20*4\/210)\/(72\/54)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/84)\/((-2)\/(-9)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 13*m - 19. Let k be r(11). Let y(x) = 7*x**3 + 5*x**2 - 2*x - 4. Let h be y(k). Suppose h = 6*v - 958. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177993 and 67581.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 10*c**2 - 19*c - 9. Let j(o) = -o**2 + o + 1. Let n(p) = 4*j(p) - t(p). Let h be n(12). Let s(q) = 21*q + 1. Calculate s(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {d: 4, q: 14}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inni when four letters picked without replacement from nninnnnnnnnnninnnnn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1332, -2642, -3926, -5172, -6368?\nAnswer: -7502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275623 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/18)\/(4\/12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7b (base 13) in base 9?\nAnswer: -2618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 2984048*k - 1113067808288.\nAnswer: -2*(k + 746012)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9449?\nAnswer: 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 7*a**2 + 6*a + 6. Let r be g(6). Let n = r - 3. Suppose n*q = -2 + 14. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o - 136*o - 1035 = -299723. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*x - 320*x = 1590*x + 1817*x - 54306 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-70)*14)\/((-1)\/2*48\/4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2, -28\/11, 0.01, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10616713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1403 + -1393. Solve 0 = -5*p - s - a, -11*p + 8*p + 3*s - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 17*g - 2. Let t(b) be the second derivative of -b**4 + 9652*b. Calculate p(t(u)).\nAnswer: -204*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-460)\/391)\/(14\/(-119)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 16 = 72. Let u = l + 40. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/2709 and -11\/4310772?\nAnswer: 3892627116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 302683, 302685, 302687?\n\"Answer: 2*a + 302681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136654 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39917.5 litres to millilitres.\nAnswer: 39917500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -434 + 404. Is -25 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 82995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -4, 5, -106?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 8*y**2 - 15*y - 9. Let m be d(-6). Suppose 2*b + 4 = 3*b. Solve m*s - 25 = b*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1451 - -764. Let m = l + 843. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15640\/765 - 16\/36.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of ((-1950)\/(-15))\/(-13) - -4274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -91*v**6\/60 - 32*v**3\/3 - 14*v**2. Differentiate g(m) wrt m.\nAnswer: -546*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 + 188. Let u = b + 123. What is the derivative of -u + 2*p**4 - 5*p**4 - 5*p**4 + 7*p**4 wrt p?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/150 and 107\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -6) + -255 + -4. Does 10 divide -786*(w\/69 + (-3)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 22 = 3*d, -d + 0*d = -i + 6. Calculate the highest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 1 + 1)*(-1 - 7 - 7)*(-3*i - i + i) + (-3*i + 3*i - 2*i)*(-3 - i + 3) + 11*i**2 + 17 - 17.\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -260 in 3\/5, -2\/3, -0.07, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*p + 5, -11 - 2 = -p + 2*g. Suppose -3*j - 4*l - 47 = -565, 0 = p*j + 2*l - 514. List the prime factors of j.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25 = 0, -4*p + 6 = h - 16. Suppose 0 = -h*w + t + 110, 0 = 3*w - 2*t - 116 - 51. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 2 + 5 + (sqrt(112)*-1 + -4)**2)*-2 + -5 + sqrt(112)*-1 + -1 + (sqrt(112) + -4)**2.\nAnswer: -108*sqrt(7) - 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 2563, 5774, 10269, 16048, 23111, 31458?\nAnswer: 41089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44895.46 minus 244369?\nAnswer: -199473.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 253, 849, 2005, 3907, 6741, 10693?\nAnswer: 15949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1 - 14) + -14 + (25 - -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15952 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 8 + -4)\/(2\/38). Let d = 41 + -17. Let p = t + d. Calculate the remainder when p is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + w**3 - 80 + w**3.\nAnswer: 2*w**3 - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 - 4096394341\nAnswer: -4096394340.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53109.21934 and -295.7.\nAnswer: 52813.51934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + (0 - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-1)\/(-3))\/(-1))\/((-19)\/(-57)). Let q(u) = 8*u**3 - u**2 - u + 1. Calculate q(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gssyivd. What is prob of sequence sdiv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + 0.2. Let u be 8\/(-3)*6\/(-4). Let w = -1733.4 - -1733. What is the fourth biggest value in w, u, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 228547.4ml?\nAnswer: 228.5474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or -100434\/4705?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, i: 3, g: 1, a: 3}. Give prob of picking 1 z, 1 g, and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 37 = -5*k, t + 0 - 26 = k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 45 = -2*c. What is the lowest common multiple of (0 - (-378)\/4)*18\/882*28 and c?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 2 - -17) + 11 + -3 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + u - 7. Does 3 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**3 + 13*j**2 - 2*j - 10. Let t(q) = -9*q**3 - 24*q**2 + 3*q + 18. Let r(o) = -7*g(o) - 4*t(o). Give r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -907*g**3 + 12*g**2 - 5*g + 4. Let w(x) = 908*x**3 - 16*x**2 + 6*x - 5. Determine -4*j(k) - 3*w(k).\nAnswer: 904*k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -174*r**2 + 64*r + 6. Let b(o) = 58*o**2 - 21*o - 2. Let c(d) = 10*b(d) + 3*y(d). What is the second derivative of c(a) wrt a?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 27*l - 2786. What is z(41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 11. Let o be d(7). Let k be 632\/(-5) + 24\/60. Find the common denominator of 37\/7 and (k\/(-4))\/(o\/(-4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234 (base 5) in base 16?\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 2*q**2 - 2*q + 3. Let l(g) = 1. Suppose 4*k + 8 = 2*k. Let z = k - 1. Let w = z + 2. Give w*l(c) + p(c).\nAnswer: -c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 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 x = 9 + -9. Let b be (x + 0)\/((-10)\/5). Suppose 11001 = 4*p + f, -2*f + 2 = -b*f. Round p to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1275421417 by -12179.\nAnswer: -104723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-3)\/(-7) + 1572\/(-42)). Let p be ((-74)\/q)\/((-2)\/(-10)). Solve -p*z + 0*z - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 3*g + 8, -5*g - 7 = -u. What is the highest common factor of 49 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110001202210122 - 1?\nAnswer: -110001202210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnnnnnnntntnn. Give prob of sequence tnn.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 78 = 89. Let a(y) = 6*y + 4. Let j(z) = 5*z + 3. Suppose 5*h - 7 - 13 = 0. Let q(p) = h*a(p) - 5*j(p). Let l(d) = d - 2. Give u*l(n) + 2*q(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**2 - 21*l - 573. Let k(x) = 17*x. Determine k(h(w)).\nAnswer: 34*w - 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (21 - 10)) + (-2 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/84*v**4 + 3\/140*v**5 - 1\/14*v**3 + 1\/7*v**2 - 1\/210*v**6 + 27*v + 0. Let p(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -76. Let j = -1449 + 1466. Solve o = j*l - 22*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 26329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (56\/21)\/((25\/150)\/((-3)\/(-24))). Factor 38\/9*m + 0 + 2\/9*m**z.\nAnswer: 2*m*(m + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1189*z**2 - 1183*z**2 - 1 + 1. Let x(a) = 1 - 1 - a. Calculate x(d(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 3, -68, 1, 2\/33, -0.2 in ascending order.\nAnswer: -68, -0.2, 2\/33, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 9*c**2 - 12*c - 20. Let r be x(-12). Let q be ((-5)\/4)\/(7\/r). Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24244 = -17*y + 27368. What are the prime factors of y?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-1)*(-28)\/42. What is the greatest common divisor of 30 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 104 + 48)*(-2*d - d**2 + 2*d).\nAnswer: -122*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.125292 * 0.1\nAnswer: 0.0125292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/5 - 2*i**4 + 6*i**3 - 5*i. Factor h(t).\nAnswer: 4*t*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*k**2 - 9 - 2 + 11.\nAnswer: -104*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11553*l - 865130 = -806*l for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 11:34 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5764201.\nAnswer: 19, 303379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(209) + (sqrt(209) - ((sqrt(209) - sqrt(209)*1) + sqrt(209) + sqrt(209))))*6 + 2*sqrt(209)*-6)\/(-2*sqrt(891) - sqrt(275)*-2).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -2\/7, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*h - 11, 13 = 5*w + 3*h + h. Suppose 6*o = 19 + w. Let z be (-1)\/(1*o\/16*-1). What is the greatest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 1 + (-2)\/(-1). Let t = 11 - a. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 1:31 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 9. What is the units digit of t\/4*20\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319805032 to the power of 1\/3, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 31*j - 57. Let c(d) = -5*d**2 + 124*d + 230. Let x(v) = 3*c(v) + 13*f(v). Give x(-15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 60 = -6*u. Suppose -3*v + u*a - 2*a = -1046, 3*v + 4*a - 1006 = 0. What are the prime factors of v?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.93359 hours in microseconds?\nAnswer: 291360924000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6816*l - 456 = 6778*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 + 11298*v**2 - 91495644*v - 368143356456 = 0. What is v?\nAnswer: -4682, 5598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 1 - 1 - 206*i**2 - 86*i**2 - 212*i**2 + 2*i**2 - 3*i**2 + 3*i**2 + (-i - 2*i + 4*i)*(i + 3*i - 3*i) + 2*i**2 + 2 - 2 + 4 - 4 - 2*i**2.\nAnswer: -502*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 9. Let k(b) = -3*b - 13. Let c(s) = 7*j(s) + 5*k(s). Suppose 100 = -o + 6*o. Suppose -3*p + 2*p - 4*h = 14, -o = 5*h. Calculate c(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*h - 46 = 0, -f - h + 40817545 = 40817570 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2 + 389*z + 11184. What is w(-24)?\nAnswer: -2760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*w + 6 = 0, 5*w - 10 = 5. Let j be -4 + 2 + y + 1. Let v be (-1)\/1 - (j + -202). What is v rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((6 - (0 - -4)) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + -4. Let o = q + 24. Suppose -2*m = -2*p - 0*m + 12, -o*m = -5*p + 34. Which is the third smallest value? (a) 0.3 (b) -3\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - -3 - (-5 - 18)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggaggggga. What is prob of sequence ggga?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 5, f: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048433 divided by 5?\nAnswer: 1048433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 9. Let y = -3.097 - 8.903. Sort p, -3, -1, y.\nAnswer: y, -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 851407, 851251, 851095?\nAnswer: 850939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/(-4)*88\/(-6) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-33*n + 35 - 35) - 2*n - 3*n + 7*n as v*n + a and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 2)\/(-3 - -4). Let q = 77882 - 27884. Suppose -5*y - 3*t = -6*t - 125003, h*y = -2*t + q. What is y rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -7 + (1 - -3). Let p be (6\/(-18))\/(z\/(-27)). Suppose 5*i = -0*a - 2*a - 12, 2*a + 4 = -i. Put a, p, 4 in ascending order.\nAnswer: a, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11251 + 4?\nAnswer: -11245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvyvsvyfyysvvsxvyts. What is prob of sequence xs?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350\/(-150)*(-3)\/3*-3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 7*w**2 - 6*w + 4. Let x be s(-6). Find the third derivative of 5*g**4 - g**4 - g**2 - g**x wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((((i\/i**(10\/7))\/i*i)\/i)\/i)*i*i)**(-37))**10 assuming i is positive.\nAnswer: i**(-16650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336974948?\nAnswer: 2, 1931, 43627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87105262*a - 87105267*a - 3*j = -62, 4*a + 15*j - 100 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(2*w - w - 3*w) + 0*w + 0*w + 2*w - 3*w + w - w + (-1 + 3 + 0)*(w + 2 - 2) + (3*w + 0*w - 4*w)*(-4 + 2 + 5).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 divided by -10.\nAnswer: -171\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.1. Let c = -18 - -27. Let g = c - 8. What is the nearest to m in g, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252.874 - -0.126. Let s = o + -264.3. Let c = 11 + s. What is the third biggest value in 3, c, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p**5 + 2597*p**4 - 38*p**3 - 19927577*p**2?\nAnswer: -540*p**2 + 62328*p - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 2\/43 (c) -49484\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/3 - n**3\/3 + n**2 - n. Let j(h) be the first derivative of d(h). Calculate the remainder when j(-3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z + 8. Let b = -8 + z. Let j be (-6 + 4)*6\/b. Solve j*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 1. Let j be (4\/6)\/((-4)\/(-6)). Let h be d(j). Suppose -3*t + h*t = -23. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 6) to base 5\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6*(-2)\/(-3) - -1. Suppose 2*g = 3*o - 719, q = 4*o - 14*g + 18*g - 972. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/(m\/(m\/m**3)))\/m*m\/(m**(-13)\/m) assuming m is positive.\nAnswer: m**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrkkrqvrqvvkkvkrrq. What is prob of sequence kqv?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**7\/315 + n**6\/180 + n**5\/15 + 14*n**2. What is a in l(a) = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r + 0*r**3 + 5*r**2 - 1\/60*r**6 + 3\/8*r**4 + 0 + 0*r**5. What is the second derivative of k(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 20*x - 46. Let z be c(17). Suppose -2*b + 29 = -5*w, 5*b - z*w + 2*w = 44. Let i(d) = -8*d**2 + 5*d + 0*d - d**3 + 2*d**3. Give i(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -662140 <= -661922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 92. Let u = 26 + -18. Suppose -d*y = -2*y + u. What is the closest to y in -1\/3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/(-12) + 1\/4. Let z = 3 - 3. Suppose 5*p - 5*q + 45 = z, 12 = 2*q + 2. Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -6*r + 0*r**2 + 2\/15*r**6 + 0*r**5 + 1\/2*r**3 + 0 + 0*r**4. Find the second derivative of c(q) wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4752 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 18 = -x. Does 16 divide -1*x*116\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/14 - (-109)\/2. Let w(l) be the first derivative of -80*l**3\/3 - 55*l**2\/2 + 55*l + 2511. Let j(u) = -3*u**2 - 2*u + 2. What is x*j(r) - 2*w(r)?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8920\/45 + 7 + 6\/(-27) is divided by 59.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -2*m**6\/15 + m**4\/6 - 9*m. Find the third derivative of n(u) wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 367643 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Suppose 0 = 2*c - 5*b + 20, -r*c - b = -0*b - 4. Is 1*(1214 - (3 - c)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 449281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2206486.98 nanoseconds to days.\nAnswer: 0.00000002553804375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*j - 4*a + 7, -5*j - 5*a = -25. Let r be (-3 - -1)\/(3\/(-6)). Suppose 10 = r*o + o. Sort 3, j, o.\nAnswer: o, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjhjvjxxtjvxxm. What is prob of picking 2 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 882 and 127008?\nAnswer: 127008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 786608 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by ((-90)\/8)\/(-3)*21812\/2337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1665*j - 1666*j + 3477*j.\nAnswer: 146*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:26 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 97*u + 1328. Is c(-107) a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/114 and -107\/622440.\nAnswer: 622440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -478 (base 9) to base 2.\nAnswer: -110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 16 + 16. Solve f = 2*d + 1 + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/8)\/(h\/(h*h*h**(3\/13)*h*h)*h))\/(h**(-10))**(-22\/9) assuming h is positive.\nAnswer: h**(-20909\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275155 is divided by 65?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*(-4)\/(-888)*27*6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(99)*-2 + sqrt(99))\/sqrt(9) - (-3 + (sqrt(99))**2 - 1*sqrt(11)*3)) + -2.\nAnswer: -98 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 14. Let a be x(0). Solve -2*w = 3*t - a, -4*w - 2*t - 3 = -15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3449409 is divided by 344940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 9:34 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 845659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:21 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(6\/4)*(-18)\/(-4). Suppose 35 = 4*s + 15, 2*h = 3*s + 485. Suppose -5*u + 5*c = -h, 4*u - 3*c = -c + 208. Sort 0, u, o in increasing order.\nAnswer: o, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/8 - q**3 + 8*q**2. Let a = 285 - 281. Give w(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275901?\nAnswer: 3, 91967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from auuuhjaaujtajau?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-9))**14 assuming x is positive.\nAnswer: x**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/5 - 917\/35. Let q be -66*((-10)\/2 + u). What is the units digit of 1*q\/9 + (-14)\/(-42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 27?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.374 - 2.344. Let u = -0.03 + k. Let b = 2.5 + u. Round b to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*d - 7 = -1, 5*d = 4*n - 17. Suppose 4*f = -2*y + 38, n*f - 6*f = -5*y - 35. What is the remainder when 18 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 1. Let r(n) = -5*n**2 + 6. Suppose -5*y + 116 = 6. Suppose f - y = 5*c + 3*f, f = -5*c - 26. Let d = c + 8. Give d*r(w) - 11*k(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1160245 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -363*b - 49332. Determine f(-136).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1 + sqrt(72) + 2 - sqrt(72) - sqrt(72)) + 1*1*sqrt(72))*1*5*-2)**2.\nAnswer: 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*i - 78, -i + 69 = -3*p - 13. Let k = p - -32. Suppose -k*a + 26 = 6. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -15) + 39 - 15 - -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 131852, 263711, 395570, 527429, 659288, 791147?\n\"Answer: 131859*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - (sqrt(68) + -2*sqrt(68) + 1)**2.\nAnswer: -69 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. Let t = -10 + 9.2. Let f = t + 0.9. What is the closest to 0 in f, m, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/200 and -47\/12.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-16 - -36) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbddddbddbdddddbb. What is prob of picking 2 b and 1 d?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + y**2 - 4*y**2. Let k(r) be the third derivative of r**6\/180 - r**3\/2 + r**2. Let s(p) be the first derivative of k(p). Calculate s(w(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 - 2*m**2 - 8*m + 68. Let b be k(6). Let w = b - 387. Let c = -0.54 + 0.04. Which is bigger: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62524853 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 25*f + 17. What is x(6)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 4*g. Let t(a) = 2*a**3 - 7*a. Let y(r) = -5*h(r) + 3*t(r). Let n be y(0). Suppose -4*c + 209 = 3*d, 2*d - 6*d - 5*c + 278 = n. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8141 - -40683\/5. Find the common denominator of 16\/487 and z.\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*q + 1 = 0, 4*j + q = -0*j + 4. Let g = -6 + 20. Calculate the remainder when g is divided by j\/4 - (-31)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - d + (d + d - 4*d)*(4 - 2 - 1) + (8*d - 15*d + 3*d)*((3 - 2 + 0)*(1 + 0 - 2) + 0 + 5 - 3).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 48*c**2 - 82*c + 122. Determine x(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.34 plus 0.32?\nAnswer: 195.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 18 - 5*c - 19 + 4 - 570*c**2 to z + g*c + d*c**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - -9.78. Let h = 15 - y. Let m = -2\/41 - 29\/246. What is the biggest value in -3, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.6, -3, -5\/2, -1867, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 136 + 208. Solve 0 = -u*p - 454 + 418 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(60\/(-198))*2. Let s be (-8)\/(-44) + 4 + (-654)\/q. Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwyw when four letters picked without replacement from ywwryybruywy.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.92 + 4.6. Which is smaller: -0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:45 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -552d29 (base 15) to base 3.\nAnswer: -21122020212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m*y - 20*m + 100*y + 20 wrt y?\nAnswer: 3*m + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*i - 1 = -h, 5*h - 7714*i = -7716*i + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 35 = -4*d, -25*d + 13*d - 19*y - 22 = -16*d - 5*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*7 - 1) + 47 + -201. What is the units digit of t\/259*2478\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*g - 91. Suppose -g = -6*t + 10*t. Let p = 8 + -16. Is t at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12 + 0 + -4 + 10 + -11 - 13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 347382 and 490?\nAnswer: 12158370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29575930377.31 - -5.4.\nAnswer: -29575930371.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1428 divided by 8.\nAnswer: 357\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18779, -37599, -56419, -75239, -94059, -112879?\n\"Answer: -18820*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5493*c**3 + 5599*c**2.\nAnswer: 32958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.31 - -1.06. Let t = 4.75 - q. Let p be 2\/(-3) - (-34)\/60. What is the second smallest value in p, t, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000 (base 3) in base 11?\nAnswer: -677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 116*q + 112.\nAnswer: 4*(q + 1)*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5280542 - -42?\nAnswer: 5280584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2830 + -2591. Calculate the remainder when v is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -55880*h - 726429. Calculate m(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - 10) + (0 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 - (5 - (12 + -8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -228 - 3101?\nAnswer: -3329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -2*q + 3*x - 2, 543*q - 525*q + 2*x + 76 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/994 and 46\/355.\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4874849.\nAnswer: 7, 19, 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10638 - 10162. Calculate the smallest common multiple of b and 374.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1521)\/12 + 3 + 3\/4. Let f = b - -37. Let g = 127 + f. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = 13*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/6 - -4)\/(-10). Let x = 157 + -1729\/11. Put -4, f, x in descending order.\nAnswer: f, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321779922.\nAnswer: 2, 29, 31, 735139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -2. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10594 = -12*x + 10654 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 16 = 5*h, 5*n - 16 = -h + 4*h. Factor p**4 + 56*p**3 - 58*p**3 + 2*p + p**4 - 2*p**n.\nAnswer: 2*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244028, -244787, -245546, -246305?\nAnswer: -247064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 328, 315, 298?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*a + 4*k, k - 48 = 62*a - 71*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(648\/6)*-9*10\/(-270)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) + 603\/(-21). Let g = j - -67. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4, -19 in increasing order.\nAnswer: -19, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/11 + 28\/154. Suppose 919 + 946 = 5*x + 2*s, 373 = x + j*s. What are the prime factors of x?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/7, -3\/2, 2\/31, -2\/9 in descending order.\nAnswer: 2\/31, -1\/7, -2\/9, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.44. Let u = g + -0.06. Let j = -1 - u. Which is smaller: -2\/21 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from xbbxxxxxxxbxxb.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**3 - 2*b**2 + 1. Let x be s(-1). Let z(o) = -x*o**2 + 4*o**2 - o - 3 - 3*o. Calculate z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9847.318mm?\nAnswer: 0.009847318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1092 + 9*q + 1092.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3590889 and 14.\nAnswer: -50272446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 302524*a*c**3 - 35*a*c**2 - a*c - 1573*c**3 + 30*c**2 + c - 121 with respect to a.\nAnswer: 302524*c**3 - 35*c**2 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1654\/1437 or 2?\nAnswer: 1654\/1437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13960 - 5*a**2 + 4*a**2 - 13960.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 4 = 2*t. Suppose 6*z + t = -5. Does 18 divide ((-80 - z) + -3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390115 is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/4)\/3*(-7)\/((-525)\/(-550)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159445.\nAnswer: 5, 11, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.494 - -1.994. Let i = 2.96 + 0.04. Which is the fourth smallest value? (a) y (b) 5 (c) i (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18922, -11 in decreasing order.\nAnswer: 1, -11, -18922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let j = q - 1.4. Let p be ((-15)\/(-6))\/(((-24)\/(-90))\/(480\/750)). Which is the third biggest value? (a) 2 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 15 = -r - 40*u, r + 30*u = -19 + 122 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 430510336 and 7.\nAnswer: 3013572352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*m - 118*m + 5*i = -5, -3*m + 1 = -i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2 - 10. Let m(s) be the first derivative of 3*s**3 + 5*s + 2. Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g + 0*g)*(0*g**2 - 3*g**2 + 8*g**2)*(5*g - 3*g + 0*g).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1644306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b + 36. Determine s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 2*c - 15 - 10 + 0.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3*d + 2*d)*(d - 4*d + 4*d) + (2*d**2 + d**2 - 2*d**2)*(5 - 5 + 2) + 21*d - 4*d**2 - 21*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611673551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1268*1.\nAnswer: 0.1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/63)*t*t\/(t*t**(-14)))\/(t**6\/t)**28 assuming t is positive.\nAnswer: t**(-7814\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1128, -2242, -3348, -4440, -5512, -6558?\nAnswer: -7572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -395610, -790950, -1186020, -1580820, -1975350, -2369610, -2763600?\n\"Answer: 135*w**2 - 395745*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42869?\nAnswer: 163, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27630803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6693, 13392, 20097, 26802, 33501, 40188?\nAnswer: 46857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, z: 3, n: 2, l: 1, o: 2}. What is prob of sequence rrrr?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -878477.048 to the nearest 100.\nAnswer: -878500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/7288 and -43\/7288.\nAnswer: 7288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 7. Let r(s) = -s**3 + 9*s**2 - 4*s - 6. Suppose -27 = -3*v - 3. What is the remainder when r(v) is divided by g(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 32 (b) -36\/13 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10124101 (base 5) to base 4\nAnswer: 110101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5524041 (base 9) to base 5\nAnswer: 1224443100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 - 2287 + 2287.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*v, 2*v + v - 16 = -2*q. Let p = -235823 + 235820. Let g be (-2)\/9*2\/4. What is the second smallest value in g, q, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 53 + 1. Suppose f + 7 = -4*i. What are the prime factors of (-6)\/i*636\/18?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let u = -3 + j. Let x = 0.8 + -0.8. Which is the closest to x? (a) 0.1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(27)*6 + -4*sqrt(3)*1 - (sqrt(3) + sqrt(108)*1 + (sqrt(432) - -2*sqrt(432))))**2*6.\nAnswer: 15140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/19306 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-48)\/168)\/((-2)\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2 + 39839*p - 797180 = 0.\nAnswer: -39859, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 3*j**2 - 3*j**2 + (7368*j - 14507*j + 29116*j + 19708*j)*(-2*j + 3*j + 0*j).\nAnswer: 41683*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:43 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvvvpeppppvvp. What is prob of sequence pvve?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 7. Let j(t) = -2*t**2 - 44*t + 637. Let g be j(-32). Determine q(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0 + 0*s - s**3 - 8*s**2 + 1\/12*s**4. Let j be x(3). Solve j = 4*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -273341*m - 2733412. Determine h(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-3)\/(-8)*4. Suppose 2*c - 5 = m*u + 5, -16 = 4*c + 3*u. Let k(z) = 4. Let s(v) = v + 1. What is c*k(x) + 4*s(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:16 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1253798730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (5\/(-15) - (-44)\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7612 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 20*k - 47. Let x be f(17). Solve 0 = 7*w - 6*w - 5*d - 14, -x*w - d - 7 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 48*z**3 + 6 - 7.\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.3, 94619, 1, 1\/6?\nAnswer: 94619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/14)\/(104\/182). Which is the second smallest value? (a) w (b) 1.3 (c) 1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119 or -4?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1343 - -1348. Let v be (-80)\/(-3)*(-12)\/(-8). Suppose w*d + v = 6*d. Calculate the highest common divisor of 60 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155.1 + -271.4. Round d to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(0 + 2 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5\/6 + 5*q**4 + 151*q**3\/6 - 82*q**2 - 102*q = 0?\nAnswer: -6, -1, 0, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(-2\/33))**(-4) assuming j is positive.\nAnswer: j**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5604 (base 10) to base 6.\nAnswer: -41540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 6 - 16. Suppose -3*k - s + 11 = -2*k, -v*s = 4*k - 42. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -9.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1526 + 1526.0853. Round x to 3 decimal places.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212101111 (base 3) to base 5.\nAnswer: 1021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2217 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwejxxe. Give prob of picking 1 x, 1 l, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(sqrt(2) - (1*sqrt(98))**2) + 3 + sqrt(6)\/sqrt(3) + 5).\nAnswer: -8*sqrt(2) + 1208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v + 1. Let a(n) = 277*n + 9 - 18*n**2 + 0*n**3 - 298*n + 2*n**3. Let t be a(10). Give z(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 39. Calculate the remainder when 213 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -77. Suppose -d - 3 = -0, 0 = -4*i - 4*d + s. Let u = -239 - -347. What is the highest common factor of u and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -56. Solve -z = q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242 (base 5) in base 13?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 5*j**2 + j - 5. Let l be c(5). Suppose -4*x - 8 - 16 = l. Let u(w) = -2*w + 2. What are the prime factors of u(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, 0.63858 in increasing order.\nAnswer: -29, 0.63858, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*f + 48462 - 57507 = 0 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23061\/522 - 11\/33. Let x = 5841 + -169350\/29. Let u = f - x. What is the common denominator of u and -113\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -41*b - 33. What is r(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 3*l)*(-3 + 4 + 3 + 0 + 0)*(33364238 - 317*l**3 - 33364238).\nAnswer: 1268*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 29*b**2 - 11*b + 3. Let g(w) = -8*w**2 + 4*w - 1. Determine -7*g(p) - 2*t(p).\nAnswer: -2*p**2 - 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(560)*3 + sqrt(560))\/(sqrt(112)*1).\nAnswer: 1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 196*j + 218*j + 322*j + 203*j.\nAnswer: -5*j**2 + 547*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37340167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478 (base 9) to base 2.\nAnswer: 110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1345433*p - 1187863*p - 3 + 3.\nAnswer: 157570*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)*h*h*h)**16\/(((h**13*h)\/h)\/((h\/(h**(6\/11)\/h*h))\/h)))**(1\/11) assuming h is positive.\nAnswer: h**(335\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-9) + (-2)\/9. Let l(s) = -6*s + 3 - 2*s**2 - 2 + 2*s**3 - s**3. Let c be l(v). Solve 4*h = o - 3, -5*o + h = 14 + c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92 or 91?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-352)\/132)\/((-10)\/3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + z = 33, -5*x + 1785 = z + 1698 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 688.7801 millennia?\nAnswer: 68878.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 + y**2 + 4*y + 2. Let f(p) = -p**3 + p**2 + p. Let a = 187 - 188. Let d(s) = a*i(s) + 6*f(s). What is d(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 66 (c) -0.4 (d) -192 (e) 1\/2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -148\/11 - -829\/33. Let c be ((-69)\/(-18) + -3)*43. Let n = a + c. Calculate the common denominator of n and 151\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**8\/20160 + v**7\/5040 + v**6\/360 + v**5\/30 + 3*v**2. Let s(d) be the third derivative of p(d). What is x in s(x) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(1*5\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = 2. Let i(t) = -t**2 - 5*t - 2. Let l be i(-5). Is 8 a factor of -1 - c - (l - 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2726*o - 133*o**2 + 0*o**3 - 2 - 2727*o + o**3 + 463*o**2 to k*o + f + m*o**2 + r*o**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 0.02232378 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77673508 by 1765307.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 67 = 1. Suppose -v = 4*n - 20, 0 = -v + 3*n + 2 - b. Suppose -4*w - 3*k = 3, v*k + 4 = -4*k. Solve w*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9581773?\nAnswer: 9581773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309 (base 11) in base 15?\nAnswer: d74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48412211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7696, -7842, -7990, -8140, -8292?\nAnswer: -8446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.7 + 20.22. Let x = u - -14. What is x rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -3 - 63\/(-7). Find the second derivative of -33*o + 30158*o**3 + 89*o**d - 30158*o**3 wrt o.\nAnswer: 1068*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55\/14 + 729\/182. What is the second smallest value in 2, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - 11)*(-1)\/(-4). Let f be (-2 + 3)\/y + -2 - -4. Differentiate 5*q**3 - 4*q**f + 5 + 5 + 6 wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 42. Let n be z(10). Suppose 3*k - 9 = 3. Suppose k*v + 46 = 3*l - n*l, -3*l = -2*v - 108. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 75 + 45. Let g = -14 - q. Suppose 0 = -w - c, c - g = -2*w + 3*c. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*s**4 - 1 - 9 + 5*s**4 wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29274, -58547, -87820, -117093?\n\"Answer: -29273*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 + 2*r - 4. Let l(q) = q**2 - 3*q + 5. Determine 4*l(p) + 5*s(p).\nAnswer: 5*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 + 146731875\/195 + 10\/(-65)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491172 is divided by 81855.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z + 2*k - 12 = 0, -3*z - 5*k = -48360 + 48551 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*(-48)\/132)\/((-1340)\/35845)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.33.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-231)\/(-3)*22\/(-154)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.245 - 0.345. Let y(j) = -j**2 - 3*j + 11. Let h be y(-5). Let r = 0.3 + 0.2. What is the closest to 2 in r, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-56)*(-48)\/828?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*a + (-1 - 1 + 3)*(3*a - 6*a + 2*a))*(48*a**4 + 6*a**4 - a**4).\nAnswer: 212*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.324748 rounded to three dps?\nAnswer: -0.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 r when three letters picked without replacement from ezzrreeererzeeer?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8378173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(9 - 9*d**2 - 9) as f + j*d + m*d**2 and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.00927, 7, -0.79, -8, 0, 1?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -29. Calculate the remainder when 43 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6931 and -856240974.\nAnswer: -856240973.3069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbibbib.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l - 805. Let s(r) = r + 59. Let c(o) = 5*s(o) + u(o). Calculate c(46).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*c + 2. Let i(a) = 0*a**2 - 6*a**2 - 76*a**3 - 4 - 7*a + 75*a**3. Determine i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/6*-4)\/3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -j, -4*d - j - 13 = -23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q - 9*q**2 + q**2 - 4*q**2 - q**3 + 1. Let p be c(-13). Do p and 1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, j: 12}. What is prob of picking 2 j?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 9. Suppose -3*t + 0 - s = 0. Is t greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.59 and 5.3.\nAnswer: 5.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2914*w**2 + 15*w - 25*w + 8*w - 3962*w**2.\nAnswer: -6876*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5132 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3\/3 - 44*z**2\/3 + 7448*z\/3 = 0. What is z?\nAnswer: -49, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + -3 + (sqrt(637) + 0 - sqrt(637)) + (-1*(sqrt(637) + 1) + 3)**2)*3.\nAnswer: -168*sqrt(13) + 3810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -689*g**2 - 16*g - 11. Let l(r) = 172*r**2 + 4*r + 3. Let k(f) = 9*l(f) + 2*w(f). Suppose 0 + 3 = b - y, 3*b - 4*y = 14. Is k(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4\/7 + 27*i**3 - 183*i**2\/7 - 27*i + 186\/7 = 0. What is i?\nAnswer: -1, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02167393728 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**9\/5040 + w**8\/2240 - w**7\/840 - w**6\/240 + w**4\/2 + 6*w. Let d(m) be the third derivative of g(m). Factor d(q).\nAnswer: 3*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -311350 and 386.\nAnswer: -310964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101989 plus -56219294.2?\nAnswer: -56321283.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6473 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(((-660824)\/(-7119) - 91) + (-10)\/14)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467141137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Suppose -38 = -5*g + g - f*n, 42 = 4*g - 2*n. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -74, 59, -1 in ascending order.\nAnswer: -74, -3, -1, 0, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 153836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2. Let k(o) = -39*o - 82 + 34*o + 4*o. What is k(b(h))?\nAnswer: -3*h**2 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 - -245. Calculate the remainder when 207 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/48 and 53\/59064?\nAnswer: 118128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531 and 6426103?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 191, 194, 197, 200, 203, 206?\n\"Answer: 3*a + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -2 + 1 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 64536, 2 in increasing order.\nAnswer: 2, 3, 64536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55086 + 55086 + 90*l to w*l + f and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 19. Give v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*a**3 - 127*a**3 - 7*a + 1 + 6*a**4 - a + 7*a to the form u*a**4 + n*a**2 + b*a + l + s*a**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 2*x)*(-85*x**2 + 45*x**2 - 15 + 41*x**2).\nAnswer: 2*x**3 - 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*5\/(-5) + 2. Let g(u) = 3*u + 3 + 2*u - 6*u. List the prime factors of g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -21132504051?\nAnswer: -21132504050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 8*u**2 + 11*u - 1. Let s be h(-6). Solve s*x - 10 - 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 18303290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241500*l - 20*l**2 - 724460*l + 241481*l + 241479*l.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1068 and 116609046.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1394 + -0.0947. Let m = c + -0.0664. Round m to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -15*t**3 + t**2 + t + 6. Is 39 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -729, -1428, -2087, -2706, -3285, -3824, -4323?\nAnswer: -4782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5741 = -5*n + t, -5*t - 1117 = -n + 36. Calculate the least common multiple of n and 38.\nAnswer: 21812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27110*f + 144*f - 9603*f.\nAnswer: -36569*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -295094, -1180376, -2655846, -4721504, -7377350, -10623384, -14459606?\n\"Answer: -295094*a**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/1228281?\nAnswer: 1\/1228281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -826605546*i**3 - 337740119 wrt i?\nAnswer: -2479816638*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1968)\/(-84) + 12\/21. Suppose 0 = -8*i + m. What is the highest common factor of i and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 213445 + -213440. Let a be 4\/5*5\/2. Suppose -p - q + 6 = a*p, 0 = -2*p + 3*q + 15. Solve 0*c = -p*c + 4*n - 9, -3*c + r*n - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224 - 2) + -114 + 3 + -23\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:29 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 6 + -3 + -3 - -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 2*b + 14, s - 40*b = -38*b + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 139, 279, 419?\n\"Answer: 140*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-6)\/(-3) - (18 - 17). Let p be (-1430)\/45 + 3 + 145\/(-45). Put a, 3, p, 1 in ascending order.\nAnswer: p, a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6261.296 litres to millilitres.\nAnswer: 6261296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 + 4*s - 1. Let r(d) = 33*d**2 - 12*d + 3. Let p(t) = 3*h(t) + r(t). Let j(o) = -o**2 - 8*o. Calculate p(j(a)).\nAnswer: 21*a**4 + 336*a**3 + 1344*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3493*w**3 - 11*w**2 - 16*w + 3. Let l be m(6). Suppose -2*b - y + 73123 = 827124, y - l = 2*b. What is b rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 6085.\nAnswer: 24340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3967963870 to the nearest 1000000.\nAnswer: -3968000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/4 - 3*x**2 + 7*x. Differentiate a(s) with respect to s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(2\/15)*x**(1\/2)*x*x**(-4)\/(x*x**19) assuming x is positive.\nAnswer: x**(-649\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 93 = -3*k, -k + 3*k - 2 = 0. Is 4\/f - (-529)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -436791 and -436782 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from wmmmmmmmmmmwm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/5*(-49935)\/(-119844).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1451, 2873, 4267, 5633?\n\"Answer: -14*p**2 + 1464*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 595220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 23, 64, 115, 170, 223, 268, 299?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 10*f**2 + 16*f + 11. Let c be w(10). Calculate the greatest common divisor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2880 and 5739210?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.1. Let o = -1.8 - 0.2. What is the smallest value in -5, d, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 3*c - 3008. Is c a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284147, -1136616, -2557409, -4546526, -7103967, -10229732?\nAnswer: -13923821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 - -131.482182179.\nAnswer: -81.517817821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 16*b**3 + 20*b**2 + 20*b + 20. Let z(u) = -u**3 - u**2 - u - 1. Give -c(p) - 20*z(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 + 183060?\nAnswer: 182637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.5 + 44. Let n = 10 + -12. What is the closest to 0.1 in n, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2066414 and -17\/469.\nAnswer: 2066414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -3841\/34 and -113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 9:37 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.31 - 5.31. Let c = x + 5.5. What is the closest to 1 in 6, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-24))\/(((-21)\/(-12))\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, 54, 59, 80, 123, 194, 299?\n\"Answer: w**3 - w**2 - 9*w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46328*z = -46351*z - 782 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**17*v**(15\/4)*(v**(-4\/9))**(-1\/58) assuming v is positive.\nAnswer: v**(22715\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 o, and 2 c when four letters picked without replacement from zgcmgcooogmoag.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 14. Suppose 5*t - 2 = s, -b*t + 4*s = 2*s - 4. What is the units digit of 61 - (-3)\/12*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven fifths of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - 7880\/220 - 298\/(-176).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(-7)\/((-77)\/(-66))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 - 106.1. Let f = k + 7. Let i = -0.5 + 0. Which is the closest to f? (a) -5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:39 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*i - 6 = 0, -2*a + 4*i = 6*i - 8. Which is smaller: 27 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + t)*(10*t + 15*t - 11*t) - 698 + 698 + 105*t**2 to d + l*t + c*t**2 and give c.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21 (b) 0.1 (c) -2\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*-2 - (sqrt(76)*3*4 - sqrt(76)))\/((sqrt(4) - -2*(sqrt(4) + sqrt(4)*-4)) + sqrt(36)*-1).\nAnswer: 9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2)*-4*(-12)\/(-15). Let p be (3\/2)\/((-63)\/(-210)). Suppose -i + p*w + 18 = 0, -i - 6 = w + 2*w. Solve -4*c = -5*t + 13, -5*t + n*t - i = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brmea. Give prob of picking 1 a and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 11*m**2 - 10*m + 5. Let t be y(-10). Solve t*o - 5 = -15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4755916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51113.8887 rounded to the nearest ten?\nAnswer: 51110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -150*c**3 - 5*c**2 + 35*c + 3. Let w(x) = -145*x**3 - 4*x**2 + 28*x + 3. Determine 4*r(v) - 5*w(v).\nAnswer: 125*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 842870967 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 f(y) = y**3 - y**2 + 1. Let g(o) = 4*o**3 - 11*o**2 + o + 13. Let x(l) = -3*f(l) + g(l). What is x(7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -5\/50889 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 8*y**2 - 12*y + 8. What is g(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 97 = -2*g + 1109, -g + 5 = 0. Suppose 0 = 5*x - 24 + r. Let p = 94 + x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.52933478 to 4 dps.\nAnswer: 2.5293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36810047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -365 + 369. Let d be (7 - 48\/m)*(-25)\/5. Solve 4*z - 1 = -5*l - 0, d = -3*l + 4*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -176, 1, -3, 5, -36, 2 in descending order.\nAnswer: 7, 5, 2, 1, -3, -36, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*l*m**3 + 4*h*l*m**2 + 22426*h*m**3 + l*m**3 + 2*l*m**2 - 80598*l + 2*m**3 wrt m?\nAnswer: 12*h*l + 134556*h + 6*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 1 + 41*h**2 - 19*h**2 - 19*h**2 + 3*h.\nAnswer: (h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274534 to the power of 1\/2, to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 2230*f**2\/3 + 1863722*f\/3 - 5597858\/9.\nAnswer: 2*(f - 1)*(f + 1673)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/28)*c**13 assuming c is positive.\nAnswer: c**(367\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/42)\/7*(-18)\/(-20)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -152167 - 4?\nAnswer: -15216b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80230 - -26?\nAnswer: -80203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61095, -60891, -60687, -60483, -60279?\nAnswer: -60075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 1. Let q(v) = -v + 10. Let p be (14\/(-7))\/((-1)\/5). Let u be q(p). Determine a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 - 10977*w + 3105828 = 0 for w.\nAnswer: -11253, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39762 or -39760?\nAnswer: -39760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4980 divided by -5.\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6374 + -6372. Solve -36\/5*b + 3\/5*b**q + 108\/5 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r - 3*r)*(-7*r + 7 - 7)*(-45*r + 241*r - 49*r).\nAnswer: -1029*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/2 - 0)\/(1\/42). Let f = 347 - p. List the prime factors of f.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/24)\/((-2)\/8). Let w(j) = 0*j + 3*j - x*j + 2*j**2. Let i(z) be the second derivative of z**4\/6 - z. Calculate w(i(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/7*(-138)\/(-138)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1151.26 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**1)\/x)\/x)\/x)**33*(x\/(x\/(x**(-1\/15)\/x)))\/x*x*((x\/x**7)\/x*x)\/x*((x*x**(-8))\/(x\/(x*x\/x**(-3\/2)*x)*x))\/(x**(2\/3))**(-50) assuming x is positive.\nAnswer: x**(-367\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d49213 + -5?\nAnswer: 4d4920e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*k = 22, -2*d - 31 = d + 2*k. Let b be ((-14)\/d)\/((-2)\/(-4)). Let h(z) = -2*z + 3*z + b*z + 0*z. Let l(q) = q. What is h(l(r))?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2 - (-21)\/14 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -2\/9 (b) 7 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*p = -8*m + 18, 2*m = -7*m - 5*p + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 10921966*p\/5 - 21843928\/5.\nAnswer: -(p + 2)*(p + 10921964)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/27, -35.\nAnswer: -35, 2\/27, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 3\/7*a**7 + 0 + 0*a**5 - 6*a + 0*a**4 - 1\/3*a**3 + 0*a**6 + 0*a**2. Find the second derivative of r(n) wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 3. Let u(h) = -5*h**2 + 2*h + 5. Let s be u(3). Let g = s + 24. What are the prime factors of k(g)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56912714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 563 and 248283?\nAnswer: 248283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -19, 0.3, -3\/7, -0.377, -0.3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -448165284.000419 + 448165691. Let w = 0.0839 - 407.0839. Let x = o + w. Round x to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157 and 1968623?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + 2)**2 + 2.\nAnswer: 2*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207031*v**5 - 6348*v**2 + 0*v**3 - 202674*v**5 + 0*v**3 wrt v?\nAnswer: 261420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Let r be 57\/(-76) - 15\/(-4). Suppose -5*i + 20 = 0, -11 = -r*c + 4*i - 0. What is the highest common factor of w and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175 - -200. Calculate the least common multiple of 100 and r.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 1 + -8 - 32 - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 6*c. Let s be a(-6). Suppose s = -4*r - r + 335. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 9*g**8\/112 - 7*g**5\/60 - g**4\/8 - 2*g**2 + 50. What is the third derivative of f(a) wrt a?\nAnswer: 1620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1610 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6438461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let a be z(4). Let q be 126\/(-28)*a\/(-42). Suppose 0 = 3*p - 6, -4*p + 2 + 6 = -3*j. Are j and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*(-4)\/(-1). Let q be u\/8*2*12. Let i = -6 - q. Solve 4 = -b - i*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 32*j**2 + 969*j + 4751. What is a(-24)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 13*v**2 + 36*v + 79. What is p(-14)?\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + -0.31. Let r = w + 0. Let n = -3695.6 - -3696. Which is the second biggest value? (a) 3 (b) n (c) 4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*k - 78, 0*o = 2*o - 5*k + 48. Let v = -6 - o. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10210 divided by 5\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 110001110011?\nAnswer: 110001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 135028, 135036, 135046, 135058?\n\"Answer: x**2 + 5*x + 135022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 20 + -9 + (3 - 11) + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119108038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyiyyii. Give prob of sequence iiii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -3)\/(5 - 4). What is the common denominator of (32\/1728)\/(t\/(-26)) and 76\/63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwwhhhhhhw. Give prob of sequence hwww.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/25 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6157.454ml in litres?\nAnswer: 6.157454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58280 and 51460?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1250 - 1235?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -51903 (base 10) to base 13\nAnswer: -1a817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -91*d**2 + 63*d + 126. Let x(k) = k + 2. Determine -2*h(r) + 126*x(r).\nAnswer: 182*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (4 - -17) - (4 - (-41 + -1 + -2))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54011366 is divided by 1199?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p**2 - 5*p. Calculate k(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -13658 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 136570409 to the power of 1\/2, to the nearest integer?\nAnswer: 11686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-nine quarters of a microgram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84563 + -50577. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7836 + 7861. Sort 0.17, -2, p.\nAnswer: -2, 0.17, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 546*y**2 - 1 - 5*y - 547*y**2 + 0*y. Let m be b(-4). Let n(d) = -2*d - 10. Let u(z) = 2*z + 9. Let r(x) = -6*n(x) - 7*u(x). Determine r(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6d05 (base 15) to base 5\nAnswer: 1220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**5 + p**4 + p**3 - p - 1. Let m(x) = 22*x**5 - 4*x**4 - 4*x**3 + 11*x + 4. Let z(u) = -4*f(u) - m(u). Find the second derivative of z(h) wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3546 + 3542.634. Round y to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 157 = -232. Which is smaller: b or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 122100012122020?\nAnswer: -122100012122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1665312\/53 - -31422. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*i - y, -4*y - 3 + 20 = 3*i. Let s = 2 - 1. Let p = 5 - s. Sort i, p, 5 in decreasing order.\nAnswer: 5, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 10 - -6) + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 20*k**2 - 15*k - 318. Let t be j(-20). Let c(p) = -2*p**2 - 35*p + 7. What is c(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -30, -46, -72, -114, -178, -270?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.47 + 59. Let t = -15.03 + 15. Let j = z + t. What is the second smallest value in 0.3, -4, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 4, 17.175, -6, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21010414 - 3131?\nAnswer: -21014100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Let z(f) = 2*f + 4. Let a be z(y). Suppose 4*s - 15*n + 23 = -14*n, -2*s - 5*n - 17 = 0. Which is greater: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*f - 26, 40*f - 43 = 3*x + 45*f. Let t(o) = 3*o + 26 - 2 - 2*o. Calculate the remainder when t(x) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 19 = -m, s - 2*m - 19 - 5 = 0. Suppose 2*y + s = 9*y. Suppose -5 = -3*p - y. Solve 0 = o + 2 + p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 654. What are the prime factors of b?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 94 = -167*l + 166*l, 3*l = -a + 292. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6c6a5a (base 13) to base 5\nAnswer: -1130213222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 13*l**2 - 47*l - 7. Let t be k(16). Which is the biggest value? (a) 153 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((38\/(-7))\/1)\/((-2)\/14).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 1, t: 8, b: 9}. Give prob of sequence tdv.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**2 - 6*u - 7. Let z(d) = 7*d**2 + 16*d - 4*d + 2*d**2 - 2 - 7*d**2. Let p be z(-6). Let r(t) = -t**2 + t + 1. Calculate p*v(y) - 14*r(y).\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 5*a**3 + 2*a**3 + 6.\nAnswer: -a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1087907671 and 777.084?\nAnswer: 1087906893.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6)*(0 + 1). Let d = 7\/9 + -31\/63. Which is the second biggest value? (a) -1\/4 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*f + 8 - 5 - f to r + z*f and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 15. Let q be l(-5). Let w = -8 - q. Let i be w\/(-6) + (-14)\/(-6). Solve 4*x + 2*d = 0, d - i*d + 5 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*u - 2*u - 15, -u + 4*y = 12. Suppose 4 = 4*w + 3*l - 1, 2*w + 2*l = u. Suppose -2*f + 2*t = -6, -f + 7 + 8 = -w*t. Are f and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 6*b - 5. Let x be 2 - (-1)\/(30\/9 - 3). Let q be o(x). Solve 5*f + 13 + 12 = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = -3*w + 3, -5*w = 3*h - 12. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24431263447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31570667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507300 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-9)*(-60)\/(-40)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(2\/(-32))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -21 + (0 - ((1 - (5 - 11)) + -11))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334669147 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 47 = -4*p + 12*z, p = 3*z + 10. Put -2, p, 4 in descending order.\nAnswer: p, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445080*b - 443184*b + 195288 = 0 for b.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6538 + 34.79.\nAnswer: 6572.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2348, -40, 1, 45 in decreasing order.\nAnswer: 2348, 45, 1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181 - 82. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -be (base 16) to base 11\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6020 divided by -20?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67371373 divided by 654091?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3 and -0.7.\nAnswer: -3.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -161*v + 174*v - 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 61*s**2 - 20*s + 2572. Give g(-62).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47940201, 47940190, 47940179, 47940168, 47940157?\nAnswer: 47940146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 102*i + 1171. Let c be m(-11). Which is smaller: c or 52?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 9. Let f be h(7). Find the third derivative of -s**f - 9*s**4 + 4*s**2 - 2*s**2 + 11*s**4 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:48 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {r: 2, q: 3, l: 2, n: 6, b: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/3 at least -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166918 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) 0.6 (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -16*w. Let p(f) = 2789997*f. Determine p(k(t)).\nAnswer: -44639952*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + (-4 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 46, 112.59, 2 in descending order.\nAnswer: 112.59, 46, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 15 - 24*a + 5*a - 15)*(12*a + 20*a - 76*a).\nAnswer: 1100*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3090*p**5 + 14425*p**4 + 867910*p**2 + 54*p.\nAnswer: -185400*p**2 + 346200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1787.9*-1373.\nAnswer: 2454786.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18150, -36744, -55384, -74076, -92826, -111640, -130524, -149484?\nAnswer: -168526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1759 + -1758.6. Let x be 77*3\/2070 + 4\/(-30). Which is the second smallest value? (a) -0.2 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u\/u**(1\/2))))*u)\/u**(-1\/28)*(u*u*u*u**9)\/(u*u*u**(1\/4)))**(-16) assuming u is positive.\nAnswer: u**(-1264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -11, -319?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/5584860 and 151\/19596.\nAnswer: 5584860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrkorlbrrcorrrc. Give prob of picking 1 b and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -1, 207, 6, 5 in descending order.\nAnswer: 207, 6, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*r - 120*r + 295792 = 0. Which is bigger: r or 1066?\nAnswer: 1066","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k = d - 1821, -4*k = 4*d - 7244. What are the prime factors of d?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -21*k**4 + 4*k**3\/3 + 11*k + 83. What is the third derivative of h(j) wrt j?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76, -44, -8, 32, 76?\n\"Answer: 2*l**2 + 26*l - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/46 and -2\/9.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from {m: 5, r: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45481 and 6.95?\nAnswer: 316092.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 3*g - 25, 22 = b - 4*g. Suppose b*w + 0*w - t - 21 = 0, -4*w = 4*t - 60. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 49566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/21 and 20\/287943.\nAnswer: 2015601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4223872?\nAnswer: 4223872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10258 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, 205, -5 in descending order.\nAnswer: 205, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 182067552.8 to the nearest ten thousand.\nAnswer: 182070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1016667*i**2 - 2*i - 16. Let v be x(-6). Suppose -5*t = -4*j - t - v, 0 = 3*t - 6. What is j rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42443 + 10403?\nAnswer: -32040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {j: 1, x: 1, g: 1, v: 2, b: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*(-2)\/12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -111\/25, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15612 (base 7) in base 14?\nAnswer: -1879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 671 (c) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/5280 and 82\/8613.\nAnswer: 1378080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u + 22. Let o be a(-7). Let i = -75 + o. Let z = 90 - 93. Sort -5, i, -2, z in descending order.\nAnswer: -2, z, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 0 - (98 + -102 - -11) - -61?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 38*a - 32 + 442 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6) - (-15)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/3 + 2*r**2 + r. Determine b, given that s(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*i = 90, -3*i = -7*i. Solve -3*h = 5*p + 23, -2*h - 2*p - 2*p = a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 18*n**3 - 23*n**3 + 42*n**4 - 40*n**4 - 5*n**3 as o*n**2 + u*n + b*n**3 + w*n**4 + q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgtbbbbtbbttbbbbbgtb. Give prob of sequence tggb.\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 88*(45\/6)\/3. Suppose 2*t = -3*t + j. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 531 (b) -0.3 (c) 0.3 (d) -3\/5 (e) -11 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Let t(r) = -r + r**2 + 2*r - 5 + 0*r**2 - 5*r. Calculate t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let g(q) be the second derivative of -125*q**4\/12 + 2*q - 46. Determine g(r(d)).\nAnswer: -500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174939, 699957, 1575027, 2800155, 4375347?\nAnswer: 6300609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -32 + 7. Let n = 0 - z. Let v = -3 - n. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -o - 64, p + 6 = 2*o + 29. Let t(m) = m**2 - 15*m + 13. Let r be t(p). Let v = 28 - r. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 4*a**3\/3 - 2*a**2 - a + 4. Let h be o(3). Let n = h + -14. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602235607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156405 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411628651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13764518 is divided by 458817.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvpvpvvzuf. Give prob of picking 1 p, 1 u, and 1 z.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*d + 163 - 166, -4*d + v + 13 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 11:58 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2 - 7\/((-14)\/(-10)). Does 7 divide 52 - ((-3 + -3)\/h - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdg when three letters picked without replacement from {e: 1, g: 7, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1036, -5, -231, -3 in increasing order.\nAnswer: -231, -5, -3, 1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -14754063\nAnswer: 5\/14754063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*x + 9. Suppose 5*a - 5 = x. Let l(q) = -q**2 - q**3 + 0*q**2 + 4*q - a*q. Calculate l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/12 + y**5\/5 - y**4\/8 + y**3\/6 - 842*y**2. Find the second derivative of m(d) wrt d.\nAnswer: -60*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/((-1134)\/(-21))*3*(-8)\/(-6). Let a(y) be the third derivative of 5\/6*y**3 + 0 - 7\/24*y**4 + 0*y - 1\/60*y**5 + 18*y**v. Determine a(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Let z(q) be the second derivative of q**3\/6 + q**2\/2 + 55*q - 2. Give z(r(s)).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 647580.\nAnswer: 194274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/9*(-15)\/(-10). What are the prime factors of (-10)\/((-2)\/(3 - d))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g + 11*g + 16*g + 82 + 72 = -y, g = 3*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(-3*x - 2*x + 6*x) + (2 + x - 2)*(3 + 1 - 3) - 5*x + 0*x + x as d + w*x and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198*r + 86*r + 60*r)*(4 - 4 + 3*r**2)*(-1 + 2 - 3).\nAnswer: 312*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(187961*n + 6*n**2 - 187973*n + 3*n**3 - 4*n**3)*(3*n + 0*n - 4*n)*(-n + 3*n - 5*n).\nAnswer: -6*n**5 + 36*n**4 - 72*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 5, p: 12, h: 1}. What is prob of sequence hl?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 2*x**2 - 3*x + 3. Let z be p(-3). Let d be 1\/(z\/6) + -2. Which is smaller: 2\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 6468 = 17*z. Let v be ((-27)\/z)\/((-51)\/(-34)). Put v, -0.5, -0.4, -1\/11 in descending order.\nAnswer: -1\/11, v, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75979643 divided by 5.\nAnswer: 75979643\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3770 and 62192?\nAnswer: 9017840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**2. Let z(a) = -8*a**2 + 0*a**2 + 16*a**2. Give k(z(d)).\nAnswer: -704*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t - 16. Suppose p = 0, -4*k + p = -p - 4. Let q(j) = 2 + k - 2*j + 0. Let u(z) = 2*a(z) + 11*q(z). Differentiate u(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - -73) + (-26 - -3) + 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -313, -659, -1039, -1459, -1925, -2443, -3019, -3659?\n\"Answer: -b**3 - 11*b**2 - 306*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47083115098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(5)) - sqrt(5)) + 5 + (-2*(-1*sqrt(245))**2 - sqrt(245) - sqrt(245)) + -3.\nAnswer: -476 - 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4.94. Let m = f + 0.44. What is the closest to -1 in 3, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 47*m - 1. Let f be d(11). Suppose 2*k + 4 = k, k - f = -5*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340637300.\nAnswer: 2, 5, 31, 109883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 9) in base 5?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4809029 to the power of 1\/2, to the nearest integer?\nAnswer: 2193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.002518834 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 93818, 93822, 93826?\n\"Answer: 4*m + 93814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/(13 - 16) + -16*1\/(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/(1\/(-39)). Let o = u + 9. Let b = -22386 - -22397. What is the highest common factor of b and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-4 + -57 - -27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a*c**3*h*v + 2*a*c*v + 6*a*h*v + 18*a*h - 31*c**4*h + c**3*h + 2*c**3 - c**2*h*v + 2*c**2 wrt c.\nAnswer: -36*a*h*v - 744*c*h + 6*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 6*b**2 + 2*b - 9. Let u be n(6). Suppose z = u*z - 6. Solve 3 = 2*w - z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1209429 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z. Let u(b) = 9*b - 4. Let v(q) = -9*q + 10. Let g(a) = 5*u(a) + 2*v(a). Calculate g(k(w)).\nAnswer: 162*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(16\/3))**(-47)\/(r\/(r\/(r**(-3)\/r)))**(-28) assuming r is positive.\nAnswer: r**(-1088\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24033017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 10*l - 3*h = -43224, 4*l + 2*h - 43228 = 0. What are the prime factors of l?\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*46372*(-5)\/190. Let p = -1220 - s. Is p < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4461902477 to the nearest integer?\nAnswer: 66797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**5 - 92*m**4 - 916*m**3 + 2252*m**2 + 912*m - 2160 = 0. Calculate m.\nAnswer: -9, -1, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = 81*j + 507 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*(7 - (-121)\/33). Does -115 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 11. Let u = 76 - 65. Suppose -22*d + 44 = -u*d. Let a(w) = w**2 - 5. Give d*t(g) - 9*a(g).\nAnswer: 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*m = 14, 0*o = -2*o - 4*m - 4. Let h be 5\/((-10)\/(-8)) + (-1)\/1. Suppose -o*y + 7 = h. Solve 4 - 2 = -y*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 29*f + 2. Let j(v) = 29*v + 2. Calculate 6*j(b) - 5*p(b).\nAnswer: 29*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 bigger than 7097\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:10 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 2*d + 3. Let g(n) be the second derivative of 3*n**4\/4 + 7*n**3\/6 - 5*n**2 - n. Let l = 36 + 20. Let f = l - 49. Give f*w(k) + 2*g(k).\nAnswer: -3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 45255 (base 6) to base 4\nAnswer: 1203203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-6*sqrt(25)\/sqrt(5)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -870, -1961, -3488, -5451, -7850, -10685?\nAnswer: -13956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-216)\/(-15) + (-2)\/5. Suppose 0 = -m + 3*m - g. Let r = 11 - m. Calculate the highest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/234501 or 1?\nAnswer: 4\/234501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k - 1 + 3 - k**2 + 2. What is the smallest common multiple of o(-8) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*b**2 - 52*b**2 + 79*b**2 + b**3)*(-1 - 1 + 4)*(-5 - 4 + 3)*(1 - 5 + 3).\nAnswer: 12*b**3 - 204*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4385*t**2 + 60 + 3069*t**3 - 387 + 4392*t**2 wrt t.\nAnswer: 18414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 2*n**2 + 4*n - 10. Let a be (-14*(-29)\/(-609))\/((-2)\/(-15)). Calculate l(a).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 456 = -29*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 740053462 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 10:56 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 708 = 84 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 21, -2\/9, 0, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:01 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 5. Let k be l(-9). Let z be (1 - k) + (-17720)\/(-18). Let c = z - 973. Find the common denominator of c and 49\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.47 + 0.09.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 1, -17, 2\/13, 8 in decreasing order.\nAnswer: 8, 1, 1\/6, 2\/13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -213, -748, -1639, -2886, -4489?\n\"Answer: -178*l**2 - l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -736*u**2. Let y(v) = 21*v**2 + 3*v. Calculate y(l(g)).\nAnswer: 11375616*g**4 - 2208*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 962?\nAnswer: -3\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33646*r - 2388*r**2 - 33646*r.\nAnswer: -2388*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -8 + 3 + 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 20*h = 0. Suppose 3*w + h*w - 3*n = 3639, 4*w + 3*n = 4880. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 9*c**2 + 13*c + 30. Let z be y(-10). Suppose 2*p + q + 80 = 236, 5*p - q - 390 = z. Does 39 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 1. Let v be q(0). Let b be (-51)\/48 + v\/(-4). Let r = b - -239\/48. What is the common denominator of 31\/16 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/5 - 15458*a**3\/5 - 573353*a**2\/5 + 117762*a = 0.\nAnswer: -38, 0, 1, 15495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8369\/12 - 697. Let m(p) be the second derivative of -1\/2*p**3 + 2*p + 0 - t*p**4 + 0*p**2. Find the second derivative of m(i) wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 255 and 29775?\nAnswer: 506175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 7*i - 3*i. Suppose -3*q + 31 = 3*s - 4*q, q + i = 5*s. Let t = 59 + s. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1188916 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -19884.\nAnswer: 79536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 187*n**3 + n**2 - 34*n - 36. Give i(-1).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644871 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w + 17*w + 10*w**4 - 5*w wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 399.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22507?\nAnswer: 71, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13 - 2*d + 15 + d. Let b(r) = -15*r + 36. Let j(f) = b(f) - 18*i(f). Let h(u) = -u. Calculate h(j(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 7. Let x be j(-6). Let n(z) = 16*z**2 + 2 + 9*z - 23 + 3. Is n(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25963*i**4 + 1246*i**3 + 192104118*i**2?\nAnswer: 623112*i + 7476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.48 and -13.\nAnswer: -19.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.3073464.\nAnswer: -0.3073464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 394*l**2 - 47*l + 331233 wrt l?\nAnswer: 788*l - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:16 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85708*1.7.\nAnswer: 145703.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*k - 130 = 16, -5*d + 195 = 3*k. Calculate the remainder when 163 is divided by d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 + 86 = -155*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -318 and 35742239744.\nAnswer: 35742239426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 63?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 14*c**2 - 80*c + 445. Determine y(17).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:43 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39217201 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.130909g to tonnes.\nAnswer: 0.000009130909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.13, 7554?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*f*h**3*n + 6624816*f*h**3 + 2*f*h*n - 16*f*h + 36945*f - 2*h**2*n - 2*h*n + n wrt h.\nAnswer: 78*f*n + 39748896*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222156 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 42 + 7 + (-4)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 92?\nAnswer: 101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 3*c**2 + 5*c**2 + (-1 + 1 + 2*c**2)*(-1 + 8 + 0).\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 + -42. Let k(q) = 5*q - 6. What is the remainder when t is divided by k(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from {q: 3, y: 4, h: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231460, 462930, 694406, 925888?\nAnswer: 1157376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 685 + -681. Solve -f*z + 4 = 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.6 + 5.8. Which is the second biggest value? (a) x (b) 17 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Suppose z - o*z = -26. Suppose 2*g = -5*h + 5*g + z, 0 = -4*h + 3*g + 11. Solve h*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -2\/7, -2, -3425, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -16*w - 2. Let o(h) = -19*h - 3. Calculate -4*a(s) + 3*o(s).\nAnswer: 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.0538775ns?\nAnswer: 0.00000000000029274375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (-5 - 1) - (5 - 1). List the prime factors of (-93 - 31)\/(1\/b).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 310.284621 - -1.716809. Let n = 312 - m. Round n to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 1c?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -560, -2234, -5036, -8978, -14072, -20330, -27764?\n\"Answer: -2*c**3 - 552*c**2 - 4*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 4, n: 6, x: 3}. What is prob of picking 1 x, 1 i, and 2 n?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(425))**2 + 4.\nAnswer: -1283 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 + 4*p - 22 - p to m*p + n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -141. Let p = -13 + s. What is the units digit of 9\/p - (-131)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*p**2 - 4*j*p + 423*j + 57612*p**2 + 2*p - 1 wrt j.\nAnswer: 3*p**2 - 4*p + 423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/13 + 39640*t\/13 - 196416200\/13.\nAnswer: -2*(t - 9910)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4154 - -4154.1. Let a = -23 + -13. Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 - 2*l**3 - l**3 - 2*l**3 - 4*l**3 + 5*l**3 + (-6*l + 2*l + 0*l)*(170*l**2 + 199*l**2 - 173*l**2).\nAnswer: -789*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let z(y) = -12*y + 8. Let a(w) = 23*w - 19. Let n(i) = 3*a(i) + 7*z(i). Let m be n(j). What is the highest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -41. Which is the nearest to p? (a) 0.2 (b) 2\/9 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 41 + 60 - 2*z + 75 + 16 in the form n*z + o and give o.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/13 + 30506868*x\/13 + 116333624396178\/13 = 0. Calculate x.\nAnswer: -7626717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - (3 + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.38 + 0.02. Let u = -15 - -20. Let h be 1\/(7\/((-14)\/12) + 850\/200). Which is the third biggest value? (a) u (b) -5 (c) v (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*c + 45 = 0, u + 4 = 2*c + 13. Let m be 14 + (-1)\/(3 - 4) - 5. Suppose -5*x = 5*v - m, 4*v = 5*v + 5*x - 2. Solve v*y + 1 = u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15011389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(20) - sqrt(20)*-3)\/sqrt(4) + -2 + 0 + sqrt(245)*-3)**2.\nAnswer: 34*sqrt(5) + 1446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 + 34*g - 42. Let n(a) = 14*a**2 - 102*a + 113. Give -8*b(f) - 3*n(f).\nAnswer: -2*f**2 + 34*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 119587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*u + 183*u + 698 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3973\/6 + -162353\/246. Is s at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*x = 4, -5*j + 150*x = 153*x + 37 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -907*s + 9. Let w(p) = -14514*p + 147. Calculate -2*w(r) + 33*z(r).\nAnswer: -903*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -758*h + 5. Let a(v) = 4*v + 59. Determine a(f(x)).\nAnswer: -3032*x + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {e: 1, x: 1, z: 1, s: 5, k: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-165)*24\/(-4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22929.6 + -22931. What is the nearest to i in -2, 3\/2, 0.25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 5:14 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**3 - 3*k - 1. Let r(n) = n**3 - n. Let p(j) = q(j) - 3*r(j). Let y be p(1). Solve -2*b + b + 1 = y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3204404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {k: 2, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 35*m = 185, -3*m = -3*g + 22 + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 673 - 368. What are the prime factors of z?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbs when three letters picked without replacement from {y: 2, b: 2, s: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 + 3*f - 2. Is a(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 - ((-86)\/(-9))\/(-2). Suppose -20 = -5*i, -q*h - i + 11 + 3 = 0. Solve -4 = h*l - 0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 34*q + 30*q + 33*q + 38*q - 133*q + 2. Suppose -4*d + 22 = -3*k, -2*k + 0*k = d. Suppose 6*f - f = -3*a - 6, -27 = 5*f - d*a. Determine l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4591177 to three dps.\nAnswer: -1.459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*l - 22, -1240994*l = -1240991*l + p + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075060756?\nAnswer: 2, 7, 11, 17, 23, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3518 + 3523. Let w be 36\/(-15) + (-2)\/(-5). Which is the closest to 2? (a) w (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 12:36 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12273903 and 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8488, -16973, -25462, -33955?\nAnswer: -42452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -13 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 12410 + 12398 = -3*w, -4*i = -5*w + 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.5528 and -74.\nAnswer: -69.4472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dijiiiudi. Give prob of sequence dui.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/105*5\/22. Which is the biggest value? (a) -1\/4 (b) -134 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 3, t: 5, p: 2, s: 1}. Give prob of picking 2 d and 1 w.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 44\/40 + (-175)\/(-125). Let a(u) be the first derivative of -1\/3*u**3 + 4*u - h*u**2 + 12. What is a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -3 (c) -47 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - t**2 + 2. Let f be q(0). Suppose -2*h - f*b = -108, -h - 42 = -2*h - 5*b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -4*s**3\/3 - 584*s**2 - 85264*s + 85. Suppose n(u) = 0. What is u?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 876 and 57743?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o**3 - 332*o**2 + 22*o**3 + 332*o**2 + 11*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179532*b**3 - 2*b**2 + 313905299*b wrt b?\nAnswer: -1077192*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**3\/3 - 16*p**2 + 185*p + 105. Let y be s(-37). Factor -8\/9*g - 2\/9*g**3 + y - 8\/9*g**2.\nAnswer: -2*g*(g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95771963.\nAnswer: 7, 13681709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -17*r**3 - r**2 + 10*r + 1. Let n(q) = 16*q**3 - 8*q - 1. Calculate -5*n(c) - 4*s(c).\nAnswer: -12*c**3 + 4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3 + 1)*(16 - 18). What are the prime factors of ((-2495)\/(-15))\/d*-3?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48.047203 + 0.073797. Let g = 48.138 - 0.138. Let h = a - g. Round h to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10465 divided by -2093\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:41 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26162100 rounded to the nearest 100000?\nAnswer: -26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f - 5. Let n(o) = -6*o + 5. What is -4*i(u) - 3*n(u)?\nAnswer: -6*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183128907*b**4\/8 + 915691413*b**3\/2 - 1649097735*b**2\/2 + 843924*b - 216 = 0.\nAnswer: 4\/7813, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 728560290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o - 6. Let p = -497 - -495. Let v be k(p). Solve 12 = -4*h, 3*a + a + 6 = -v*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8281*c**2*p**3 - 5508*c**2*p + 40*c**2*q**2 + 4842*c*p**3*q**2 - 14*c*q**2 wrt p.\nAnswer: -49686*c**2*p + 29052*c*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*l - l = 12541, 2*u + 5*l = -8399. Let o = u - -6316. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -45, 2\/19, -3, 2\/17, -2\/27 in descending order.\nAnswer: 10, 2\/17, 2\/19, -2\/27, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahaahhkkahmkh. What is prob of sequence am?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4148, -4, 0, -3.\nAnswer: -4, -3, 0, 4148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**39*d*d**(1\/2)\/d*d*d*(d*d\/(d*(d\/d**(5\/4))\/d)*d)\/d*d*d*(((d*d**(6\/7))\/d)\/(d\/(d*d**3\/d)))\/(d**(-1\/3)*d)**(-2\/53) assuming d is positive.\nAnswer: d**(-304373\/4452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 3*b - 1. Let z be l(-3). Let t be 5\/z - 18\/(-4). Suppose -4*w = t*x - x - 69, -w + 4*x + 22 = 0. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1712 and 294456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -3. Let n be (p\/4 - -3)*-2. Let m be 4\/8 + 1\/2. Which is the nearest to m? (a) n (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g - 54 + 75 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) 10 (b) 3\/8 (c) 17\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:48 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1179 + -20?\nAnswer: -1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*w**4 + 2*w**2*y**2 + 55*w**2*y - 9*y**2 - 29 wrt w?\nAnswer: -24*w**3 + 4*w*y**2 + 110*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 + 193 = -33*c + 103 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1809 divide 987943743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:36 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)*u*u**(-2\/41)*u*u)\/(u\/u**(-2\/19))**(-1\/41) assuming u is positive.\nAnswer: u**(10042\/3895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 29 - 22*v - 29.\nAnswer: -4*v**2 - 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 355 - 1769\/5. Let h be (3 - 30\/4)*(-3)\/45. Let y be (5\/(-10))\/((-10)\/12). Sort -2, y, u, h in ascending order.\nAnswer: -2, h, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p**6 + 5*p**3 - 11*p**2. Let u(l) = -9*l**6 + 6*l**3 - 11*l**2. Let a(i) = 5*u(i) - 6*v(i). What is the third derivative of a(w) wrt w?\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133446 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32, -31, -122, -229, -340?\n\"Answer: 2*m**3 - 26*m**2 + m + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 + 329*f**3 - 41*f**2 + 13426*f + 1 wrt f.\nAnswer: -12*f**2 + 1974*f - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51984*s + 22*s**3 + 2 - 51984*s.\nAnswer: 22*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -76. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g**2. Let f(n) = n**2. Let z(b) = 4*b**2 - 4*b + 20. Let o be z(3). Calculate o*f(d) - 4*u(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 914, 1577, 2196, 2771, 3302, 3789?\n\"Answer: -22*u**2 + 729*u + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -52*f + 299. Let p(i) = -26*i + 149. Let y(q) = -9*p(q) + 4*x(q). Is y(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v + 2*v - 364. Calculate the lowest common multiple of 10 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 106 - 124 = 0. Let i(h) = h + 4. Let g be i(-5). What is the tens digit of 82 + 3 + (x - g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m + 40*m + 54*m - 2.\nAnswer: 75*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from odueddeoddddddde.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 19, 10, -22, -7 in decreasing order.\nAnswer: 29, 19, 10, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26046 or 24903?\nAnswer: 26046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/6))**(-1) assuming g is positive.\nAnswer: g**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 32363*i - 3116. Is k(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -4635907.\nAnswer: -1854362.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**8\/840 - a**5\/24 - 5*a**3\/6 + a. Let d(u) be the second derivative of g(u). What is the second derivative of d(r) wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 6*l**2 - 2*l + 4. Let a be r(-6). Suppose -3*u - a = -7*u. Calculate the remainder when 11 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 + 62 + 144*n**4 + 2*n**4 - 4*n**4 - n**4 + (-92 + 66 + 49)*(-3*n - n**4 + 3*n) to p + w*n**4 + m*n**2 + g*n**3 + a*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 24 - 7*a - 2*a + 10*a. Let c be (-39 + 5)\/(-1 + 3). Calculate the least common multiple of o(c) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122021121221202 - -11?\nAnswer: 122021121221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147214\/12 - (-40)\/240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.474 + 0.274. Is 26 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*x + 8 = z, -2*x = z - 2. Solve z*u + 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g - 10. Suppose 0 = -g*d + 12 - 7. Calculate the remainder when (-72 + 2)\/((-1)\/d) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2. Let y = -4 + 6. Let p(x) = 0*x**2 + 0*x**2 + x**2 + x**y. Determine p(z(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-35)\/(-30))\/((-3)\/(-9)). Sort 0, -9, x in decreasing order.\nAnswer: 0, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(3\/10))\/(j\/j**(2\/7)))**(2\/9))**(-4\/21) assuming j is positive.\nAnswer: j**(4\/6615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s + 8. Let l(o) = o + 13. Let c(y) = -24*j(y) - 3*l(y). What is the units digit of c(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 minus 5168.637903?\nAnswer: -3471.637903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3827111 to the power of 1\/2, to the nearest integer?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 89\/13 - 6\/(-39). Does 16 divide -1 + ((-5)\/c)\/((-2)\/836)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-7 + 4) + 41. Let t = 5 - -63. Let s = t - d. What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3153)\/(-39) + (-28)\/(-182). Calculate the highest common factor of x and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 0*l - 3*l + 3*l**3 - 12 + 12*l**2 + l**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/20 - 7*b**4\/12 + 11*b**3\/6 - 7*b**2\/2 + 1742*b. Determine s(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 16*p**5 - 2800748*p**4 - 84732348*p**3 - 861361640*p**2 - 3011320400*p - 700308000 = 0.\nAnswer: -10, -1\/4, 175077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-24)\/30 + 86. Does 26 divide c\/30*161\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -57 - 22 - 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.242431 rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 574514*m + 574516.\nAnswer: -2*(m - 1)*(m + 287258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 5 (b) -0.4 (c) -0.08 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**3 - 8*l**2 + 2*l - 8. Let g(i) = -5*i**3 + 9*i**2 - 3*i + 9. Let c(d) = -5*g(d) - 6*h(d). Let k be c(-2). Sort 3, k, -5 in descending order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277.75 - -280. Let o = 2.25000017 - i. Round o to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(162\/(-120) + 51\/68).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-18)*p)\/(p**(-29)*p*p)*p**(1\/8)\/(p*(p**4\/p)\/p) assuming p is positive.\nAnswer: p**(353\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 4*u - 2. What is g(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(190) + sqrt(190) - sqrt(190))*6)\/sqrt(10)*6 + -3 + ((2*sqrt(912))\/sqrt(3))**2.\nAnswer: 72*sqrt(19) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 - 10*d + 16. Calculate h(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -1\/2*a**4 + 0*a**3 + 0*a**2 - 1 + 2*a. What is the derivative of w(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 2, -5114 in descending order.\nAnswer: 2, -3, -10, -5114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**27*f)\/f)**(-3\/34))**(-3\/44) assuming f is positive.\nAnswer: f**(243\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 3*l - 4*l + (5 + 0 - 3)*(0 - 4 + 2)*(-1 + 6*l + l + 3) as k*l + u and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026748 at least as big as 1026621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -9*t. Suppose -2*g - l + 332 = t, -4*g - 4*l - 342 = -6*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435749828.\nAnswer: 2, 73, 953, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3364475*x**3 - 127*x**2 - 16449 wrt x.\nAnswer: -20186850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (31\/(-5) + 5)*80\/6. Does 51 divide (d - -917) + (1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41e19 (base 16) to base 6.\nAnswer: 5441145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*t - 6*t + 115 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*b = 0, -3*z = -b - 4*b - 22. Suppose -4 = -u + d, -d + 25 = z*u + 4*d. Let x = 12 + -17. Sort u, 7, x in decreasing order.\nAnswer: 7, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-4)\/(-288)*-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-26) - (-6910)\/4. Calculate the highest common factor of 81 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.019 * -746\nAnswer: 14.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 2080?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -164 and 136486.9160948.\nAnswer: 136322.9160948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0.56687, -2, 5 in ascending order.\nAnswer: -2, 0.56687, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:43 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 144?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8)*n)**33 assuming n is positive.\nAnswer: n**(363\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1144 (base 5) to base 13\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 456572752 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) - (-36)\/16. Let q = h - -3. Suppose 23 = t - q*l, -4*t + 8 = 5*l - 4*l. Solve 0 = s + 4*o - 16, 0 = 4*s - 2*o - t*o - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -162845?\nAnswer: 162858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - 3*c + 4*c + 17 - 17 + 292*c + 0 + (-c + 5 - 5)*(-3 + 3 + 2).\nAnswer: 288*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/13)*m)**(-6\/11)\/(m\/m**(3\/2)*m\/m**(-2\/19)*m) assuming m is positive.\nAnswer: m**(-11459\/5434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 521\/396 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from ssxxxfsfsixxsxssisx?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -17. What is the second biggest value in -0.2, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3015 - -3?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 474 and -3530.\nAnswer: -1673220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -1\/4*q**4 + 1\/20*q**5 - 3\/2*q**3 + q**2 + 0 + 0*q. Solve h(c) = 0 for c.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 53*x = 36*x + 8, 0 = -2*g + 5*x + 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 522660 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1023380 by 19.\nAnswer: -1023380\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2432622*l**3 + 4865256*l**3 - 2432618*l**3.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2*p*y**2 + 99*f**2*y - 2*f*p - 2040*p*y**2 + y wrt f?\nAnswer: -2*f*p*y**2 + 198*f*y - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 161. Give g(76).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/627 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 606652883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.7, -97, 2, 1\/1311, 4, -2?\nAnswer: 1\/1311","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 + 67*z**3 + 467*z**2 - 6763*z + 2200 = 0 for z.\nAnswer: -11, 1\/3, 8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 5*m + 3. Let h be k(2). Let i be (9\/(-27))\/(((-5)\/2075)\/(6\/(-10))). Sort -3, h, i in ascending order.\nAnswer: i, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 9*j**2 + 7*j + 10. Let v be u(8). Suppose 5 - 1 = -v*a + 5*s, 3*a + s + 6 = 0. Let p be 0 + (-1)\/a*2. Which is smaller: -2\/5 or p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182 - -202) + (-60 - (1 + -2 + -7))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(7 + (-6570)\/105). Which is smaller: j or -386?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(700))**2 + (sqrt(112) - sqrt(7))*-1 + 1.\nAnswer: -23*sqrt(7) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68411?\nAnswer: 7, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 194. Let h be (-2)\/11 - 28\/x. Solve 4*n + 4 + h = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/168*-8*1*(10 + -1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/12*42\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v - 28*v + 224*v.\nAnswer: 173*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61\/2*a**2 + 0 + a = 0. Calculate a.\nAnswer: -2\/61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/6 - 3*r**2 + 7*r. Let b(a) = -a**2 - 1. What is -4*b(k) + m(k)?\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*h + 265*h**4 + 47*h - 103*h + 323 wrt h?\nAnswer: 1060*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-1)*r)\/(r*r\/r**(-6))*(r*r**8\/r*r)\/r**(-1\/2) assuming r is positive.\nAnswer: r**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -72*j**2 - 6*j + 4. Let z(v) = v**2 - 6*v + 6. Let u be z(1). Let t be r(u). Is -74 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -800293955 to the nearest one million.\nAnswer: -800000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 3 = -29*q. Let r(i) = -i**3 - 4*i**2 - 2*i - 2. Let k be r(-3). Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - c + c + 2 + c + 0 + 8*c + 7*c - 12*c + (-3 + 1 + 1)*(0*c - 2*c + 4*c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 2*o - 4*o. Let y(m) = m + 7. Let v(t) = -3*t**2 + 3*t - 1. Let u be v(2). Let j be y(u). What is n(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52721 + -52720.999939174. What is j rounded to 6 decimal places?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31465?\nAnswer: 5, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0507717773 to three decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 19. Is (k\/3)\/((-16)\/2040) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Suppose -154 = 153*c - 230*c. What is the closest to l in -0.5, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.112 + -17.5. Let g = w + 0.008. What is g rounded to 2 decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*p - 3*q, -279246*q + 40 = 4*p - 279250*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18638467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q**(-1\/2)\/q)\/q)*q*q**3*q*q)\/((q*q**(-2))\/q)**(-1\/28) assuming q is positive.\nAnswer: q**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 44, -2, -24 in decreasing order.\nAnswer: 44, -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 115\/125 - 1 - (-3927)\/1275. Are d and 613 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3210 = -2*g, 3*v - 4*g = -6*g - 2404. Let l = 1671 + v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -16.2\nAnswer: -48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1043 and 437996.\nAnswer: 439039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-35)*-1*1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 2*l**3 - l**3)*(-3*l**2 + 3*l**2 - l**2) - 2*l**4 + 2*l**5 - 2*l**4 - 3*l**5.\nAnswer: 2*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1569148737 by 120703749.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2485 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/5))\/r*r**(-5))**(-3\/10)*((r\/(r**(2\/9)\/r))\/(r*r**(3\/4)))**(2\/79) assuming r is positive.\nAnswer: r**(55483\/35550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -q - 8. Suppose 3*r = -q*r + 60. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.86 - -0.14. Suppose -2*d = 3*d - 20, -1 = -5*x - 4*d. What is the biggest value in g, x, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 5692*k**2 + 168216*k + 313632.\nAnswer: -4*(k - 1452)*(k + 2)*(k + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235070693?\nAnswer: 11, 13, 149441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 417*s + 1644. What is m(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*q + 36 = 0, -25 = q - 33. Let b(l) be the first derivative of -12\/7*l - 2\/21*l**y + 21 - l**2. Factor b(o).\nAnswer: -2*(o + 1)*(o + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.7 + -18. Let k = 8 + -11. Let m be 4\/k*(-5)\/20. What is the nearest to m in c, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 7790 = -62. Suppose m = 5*o - 508. What is the remainder when o is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14*2\/4)\/(8\/(-106)). Let n = 249\/4 + o. Let m = -30 - n. Which is smaller: m or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10517 = 10617. Let b(t) = 2*t**2 + t + 2. Let u be b(-3). Is q greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 113 + 47. Let p = 43 - 21. Calculate the lowest common multiple of o and p.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 670.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1661 and 0.1.\nAnswer: 166.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-130)\/(-10) + -30 - -21. Solve 4*d - 8 = -r*k, -8*d + 13*d = -2*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -3*i**2 - 3\/70*i**7 + 0*i**6 - 22 - 31\/24*i**4 - 1\/3*i**3 + 0*i + 0*i**5. Find the second derivative of c(n) wrt n.\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71\/3 + 23. What is the nearest to 4 in y, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55146 divided by -6\nAnswer: -9191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1446, -1452, -1460, -1470, -1482, -1496, -1512?\n\"Answer: -q**2 - 3*q - 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d35b (base 16) in base 3?\nAnswer: 222001111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g**2. Let l(n) = -199 + 199 + n. Give l(r(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*m + 19, -m - 4*w - w = -1. Let v be (-2)\/(m\/(-9)) + -5. Which is the third smallest value? (a) -3 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 10. Let a be s(8). List the prime factors of (40\/(-15))\/(a\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.557982 kilograms to nanograms.\nAnswer: 8557982000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61539 - -106259. Round b to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28371, -113514, -255417, -454080, -709503, -1021686, -1390629?\n\"Answer: -28380*g**2 - 3*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*r + 42. Let w(t) = t**2 - 10*t + 6. Let k(l) = -3*l + 2. Give r*k(m) + 2*w(m).\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 348.6 + -220. Let d = q - 128.600001507. Round d to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u. Let n(a) = 1755*a**2 + 8*a - 27. Determine n(j(v)).\nAnswer: 43875*v**2 - 40*v - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1043, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1272, 0.3, -6, 1\/2.\nAnswer: -1272, -6, 0.3, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1910 is divided by 73?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6488227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4*2*1100\/(-825). Suppose -t + 12 = 3*t. Let q be t + (9 + -1)\/h. Is q < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/55658303 + -25555120214209\/1113166060. Let l = u - -22952. Calculate the common denominator of l and 1445\/(-50) - ((-36)\/30)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3915 + -2344. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*i + 101*i - 1456 = 0. What is the greatest common factor of i and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.4 in -0.2, 5, -2\/9, -1\/2, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 323432?\nAnswer: -323434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*u*y**3 - u*y**2 + 4*u*y + 12582*y**3 + 5*y**2 + 2*y + 88 wrt y?\nAnswer: 210*u + 75492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -3cc1?\nAnswer: -3cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 = 40*p - 38*p, 3*l + 6 = 0. Solve -p*n + 1 = -7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwmg when four letters picked without replacement from {m: 1, p: 1, w: 6, g: 9}.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -27057 greater than or equal to -1325841\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpeffffrfsesrff. What is prob of sequence ee?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/2 - 1) + 10. Differentiate -2*p - 2*p + 3 + k with respect to p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-3) - 1)*(-13 + (-1068)\/(-16) - 53).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -3 - (sqrt(405)*-6)**2) + -4)*5*-4.\nAnswer: -200*sqrt(5) + 291740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7965527l in millilitres?\nAnswer: 796.5527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5 + 819*h**4\/4 + 2725*h**3\/4 - 2165*h**2\/2 - 1974*h - 416 = 0. What is h?\nAnswer: -4, -1, -1\/4, 2, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157817733 is divided by 536795.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 354563?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -1.8 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n - 20. Let r be a(9). Let t(m) = 4*m**3 - 2 - 5*m**3 + r*m + 4*m**2 + 9*m**2. Is t(15) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 > 0.3571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhkkfhakkfykkkkyk. Give prob of sequence ka.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -h + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x + 5*x**4 - 2*x**5 + 313 - 313 wrt x.\nAnswer: -40*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2829861896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4251747 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 18 = -18. Suppose -11*r - 56 = -q*r. Let s(b) = 32*b**2 + 8. Let v(n) = -11*n**2 - 3. Determine r*v(t) + 3*s(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -5.102\nAnswer: 15.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*z + 10, z - 2 = -g + 1. Let l be -1*(g + 3 + 4). Let s(d) = 7*d**2 + 7*d + 5. Is s(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 21*t - 49. Let j be u(-22). Let x = 34 + j. Let p(s) = s**3 - 8*s**2 + 9*s - 14. Let h be p(x). Solve -6 = 3*i - h*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 53662*g**2 - 359924448*g - 359978112.\nAnswer: -2*(g - 13416)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-6) - (0 - -1). Let t = -0.46 + 0.06. Let y be (2 - 1) + (2 - 3). What is the nearest to s in y, t, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 5.1?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to -351892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162 + 111. Let t = k - -57. Let x = 0 - 5. Which is the closest to -2\/3? (a) t (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)\/h)**11\/(h*h*h*h**(-2\/7)*h*h*h**8)*(h**(-2\/3))**(-7\/3)\/((h*h**(-7))\/h*h**(-1\/3)) assuming h is positive.\nAnswer: h**(-1088\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -468634639*l**3 + 158915055*l**2 wrt l.\nAnswer: -2811807834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 982251378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/7, -0.2, -2, 11, 5 in descending order.\nAnswer: 11, 5, 4, -0.2, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 28 + 6*i + 6 + 7 + 8. Determine p(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {b: 9, t: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*f - 30, -5*n = -2*f - n - 6. Let x(k) = -k - 2. Let p be x(f). Suppose 227 = 5*u + 3*d, -3*u + 5*d - 87 = -p*u. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 9*u - 252. Let q be 316\/u + (-4)\/(-18). Let l be 724\/18 + (-2)\/q. Is l <= 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 289 - 752. Let v = 464 + h. What is the closest to -0.08 in 3\/4, -3\/8, v?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 5. Let q(r) be the first derivative of r**4\/4 + 19*r**3\/3 + 17*r**2\/2 + 22*r - 1999. Let t be q(u). What is t rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - 8)*(1 + 0). Suppose -4*t + 0*t - 32 = i*w, 3*t = -w - 13. Let m be (-3 + 2)*-1*72\/w. Is -17 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 smaller than -19358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 446 + -446. What is the nearest to m in -5, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d - q = -20, -12 = -3*q. Suppose -k - 24 = -5*k. Let h = 11 - k. What is the least common multiple of d and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45 and -0.41?\nAnswer: 45.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k + 2. Let o = -13 + 15. Let d be t(o). Suppose -4*l + 232 = 4*h, 3*h - 2*l = -d*l + 170. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (404\/(-8))\/((17 - -21) + -35 - (-15)\/(-6))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-17 + 1 + 3)*(-28*o + 9*o - 54*o + 2*o + o - 2*o + 1 - 1 - 2*o + 3*o - 5*o + o + (6*o - 3*o - o)*(-2 + 0 + 0)).\nAnswer: -2054*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznzzzzzeyttizzztz. What is prob of picking 1 t, 1 n, and 1 y?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/182 and -97\/8186.\nAnswer: 744926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93806 + 93811 + 2*x - 187617 - 984*x**2.\nAnswer: -984*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -297*a - 2371. What is w(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458*p - 373*p - 359*p - 380*p - 382*p - 4*p**3.\nAnswer: -4*p**3 - 36*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1597, -2783, -4509, -6781, -9605?\nAnswer: -12987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppjpjpppnpn. Give prob of sequence nn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**4 + 312*z**3 - 3*z**2 - 5*z - 34. Let j(n) = -314*n**3 + 2*n**2 + 4*n + 34. Let o(l) = 3*j(l) + 2*y(l). Find the second derivative of o(c) wrt c.\nAnswer: -24*c**2 - 1908*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*r**4 - 3*r + 2*r**3 - 7*r - 218*r**4 + 8 + 8*r**3 - 11*r**2 = 0 for r.\nAnswer: -4, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2 + 1)\/(33 - 28). What is the closest to -1\/7 in 0.5, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 2431 (c) 1\/10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933969 (base 12) to base 15.\nAnswer: 308ddc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h = 14*h + 102 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/168 - 32\/(-84). Let p = 10.58 + -12. Let c = p - -1.02. What is the nearest to c in -0.5, b, 12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 389 + 16924. What are the prime factors of b?\nAnswer: 3, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1240, 1239, 1238, 1237, 1236?\n\"Answer: -z + 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3754 plus 0.2?\nAnswer: 3754.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -1)*-6 - (((-2*sqrt(152))\/sqrt(8))**2 + 4 + sqrt(57)\/sqrt(3)).\nAnswer: -25*sqrt(19) - 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 10:22 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 13*j**2 - 14*j + 13. Let n be u(-13). Let x = 356 - n. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 4, -1406?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -60 - (-12 + -8 - -14)) + (85 - -2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.2 - 1.2. Put 3\/7, -3, p in descending order.\nAnswer: p, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/4)\/25*26\/4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 + -73. Let r = -14.9 + 16.9. What is the nearest to w in 1\/3, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57480.3 meters?\nAnswer: 57480300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(9)*1))\/sqrt(10).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/9 - (-4)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.442852 days in hours?\nAnswer: 202.628448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -598?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 990 + -987. Let h = -3 + 3.1. What is the closest to 1\/8 in b, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(128)*2)\/(sqrt(100)*2).\nAnswer: -48*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 126106361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - p. Let i be m(-1). Suppose -5*o = -i*b + 77, 14 = 3*b - 2*b - 3*o. Solve 4*x + 0*w = 2*w - 6, -2*x - b = -5*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114088 and -239.\nAnswer: -27267032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722550.\nAnswer: 2, 3, 5, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -10161?\nAnswer: 10167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 18*w**3 - 159*w**2 - 13*w - 17. Let b be j(9). Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**8\/28 + 64*d**6\/15 + 31*d**4\/3 - 19*d - 3. What is the third derivative of r(s) wrt s?\nAnswer: 240*s**3 + 3072*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-515)\/(-1339)*(-26)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 32 = 13. Let x = 19 + h. Let s = 1 + x. What is the smallest common multiple of s and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 1511, 3382, 6007, 9392?\nAnswer: 13543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 6*q + 10. Let b be z(-5). What is the third derivative of 4*o**2 - 4*o**b + 9 - 9 wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38db5 (base 16) in base 10?\nAnswer: -232885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-112)\/20 + (-6)\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 7. Let o be q(4). Suppose 5*u - 90 = -3*k + 2*u, o*u - 92 = -3*k. Suppose -4*g = -103 - k. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3 + 136\/(-46)). Let q = 47 - b. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -2*q + 112, 326963*k = q + 326964*k - 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 5. Let i(f) = f + 2. Suppose h + a - 3 = 0, 0 = -2*h - 2*h - 5*a + 16. Let p be (6\/15)\/(h\/(-5)). What is p*g(l) - 5*i(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 - 17*t + 15. Let k be q(11). What is the common denominator of k\/72 - (-28)\/126 and 31\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 2. Suppose 20*k - 55 = 15*k. Let b be x(k). Is 171\/b - (-3)\/(-24) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p. Let g(n) be the second derivative of n**3\/6 + 8*n**2 - 57*n. Calculate r(g(x)).\nAnswer: 5*x + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8380*o**3 - 3*o**2 + 1138*o?\nAnswer: 50280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6205 is divided by 142.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - 4*t - 2*t + (-1 + 4 - 2)*(-t + 0*t - t) + 99*t - 2 - 77*t + 118*t to the form y + q*t and give q.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 15300?\nAnswer: 15301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z - 507 = 0. Let q = z - -329. What is the remainder when q is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 172 - 267 + 55 = 190 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96247, -192261, -288267, -384265, -480255?\nAnswer: -576237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001696 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190359 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 9. Let r be b(6). Suppose -3*d - 4 + 9 = -w, -2*w - 8 = -5*d. Which is greater: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-105)\/(-14))*27\/3. Suppose -5*z = -2*b - 43840, -2*b + 17520 = 2*z - d*b. Round z to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*d = -16, -4*d = 5*g - 7*d - 103. Suppose -2*b + z = -64, -2*b - b + 2*z = -98. Calculate the lowest common multiple of g and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Suppose -2*n = -n + 2*z - 167, -5*z = l*n - 337. Suppose -2*u + n + 21 = 3*b, 3*u - 258 = 3*b. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39725714 to the power of 1\/2, to the nearest integer?\nAnswer: 6303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one quarters of a millennium?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -3 + 4 - -7) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/33 + ((-19)\/(-21) - 2). Let i = -44 + 43.9. What is the nearest to 1 in -2\/15, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456784\/(-47376) - 15\/7?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -98*h**5 - 6090*h**4 - 103856*h**3 + 502680*h**2 + 28316992*h + 195381120 = 0.\nAnswer: -22, -116\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 51*o + 318. Give h(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 2 - (8 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*208\/(-2028)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f - 3*j = 196, 3*f + 3*f - 3*j - 1 = 2*f + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 969099.4 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-82)\/(-20) + (-6)\/60*(-18)\/(-18). Solve -s*h = -4*d + 29 - 21, 0 = 2*d + 5*h + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 + 1.90000032. What is r rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 8 (c) 2 (d) 0.5 (e) -0.148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*u = 32, 2*h + 2*u - 11 = 7. Suppose h*t + 14 = 12*t. Solve 5*g - 31 = 2*x, 2*x + t = 4*g - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3 - 4\/(-4)). What is the nearest to q in -4, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292244 (base 12) to base 13\nAnswer: -1b1267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 381911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/9 - 44410*s**2\/9 - 88826*s\/9 - 44414\/9 = 0.\nAnswer: -1, 22207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258605824?\nAnswer: 2, 1010179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 y when three letters picked without replacement from {g: 5, o: 2, y: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1900) + sqrt(1900) + sqrt(1900)*-2*1 + (sqrt(1900) + -3 + sqrt(1900) + -1)**2 + sqrt(1900)).\nAnswer: -300*sqrt(19) + 15232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4385 + 7932. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6315, 6325, 6355, 6417, 6523?\nAnswer: 6685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 1, c: 1, a: 1}. What is prob of picking 1 c, 1 a, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 0*b + b + 24*b**2 in the form w*b + f + u*b**2 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 141*s**2 + 1488*s.\nAnswer: 3*s*(s + 16)*(s + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44a5 (base 11) in base 13?\nAnswer: -2908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 79\/145 - 15\/75. Let p = l + -88\/87. What is the third smallest value in -3, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 23*m - 784. Give w(32).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, and 2 j when four letters picked without replacement from {j: 2, t: 3, o: 2, h: 2, x: 2, l: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrp when three letters picked without replacement from {p: 2, g: 8, l: 2, r: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 20 - 3*x**3 + x**3 + 2*x**2 as h*x + f*x**3 + z + p*x**2 and give z.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microsecond in nanoseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -507?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 20*g - 20.\nAnswer: -5*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2864*a**3 + a**2 - 411*a?\nAnswer: 17184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8330362 or 27?\nAnswer: -8330362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 - 557970*n**4 - 1673940*n**3 - 1673950*n**2 - 557985*n.\nAnswer: 5*n*(n - 111597)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 34687532.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 + 52*s**2 + s + s**3 - 52*s**2 + 2 in the form u*s**3 + k + n*s**2 + i*s + v*s**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 916? (a) -2\/37 (b) -1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -9, -12, -13, -12, -9?\n\"Answer: u**2 - 8*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7337?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5470*n**3*r**3 + 7226306*n**3*r**2 + 31*n*r**5 + r**3 wrt r?\nAnswer: -32820*n**3 + 1860*n*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 >= 181\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - -15.91. Let o = f - 16.1. Let d = 0.3 - 0.1. What is the smallest value in 3, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 3. Let u be i(-3). Let c = -884.19 + 884. What is the smallest value in u, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = -5*x + 16. Suppose 0 = -3*h - 243 - 27. Let q = x - h. Calculate the remainder when q is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*k - 4*k + 5*u, -5*u + 340 = 3*k. What is the greatest common factor of k and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 656.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2. Let k be m(0). Let v = 2.052 - 1.652. Which is the third smallest value? (a) k (b) 1\/2 (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -179.4?\nAnswer: -53.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/3 + (-1 - 1) + 1534996. What is r rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 10*g**2 - 11 - 55 - 7*g**2 + 31*g**2 + 29.\nAnswer: 34*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -25445, 2, -5 in descending order.\nAnswer: 2, -4, -5, -25445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2846 + 1487 = 75*c - 759 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 4 = 0. Let t = 209 + -207. Factor 63\/2*z**3 + 49\/4*z**4 + 109\/4*z**t + o + 9*z.\nAnswer: (z + 1)**2*(7*z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*2*(-67)\/(-737).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/30 and 70\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -286 + 311. Suppose a*c - 26*c = q - 46, -q = 5*c - 50. Let d be 18\/(-8)*8\/(-2). Calculate the highest common factor of d and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from {s: 1, k: 2, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = h. Suppose -2*o - h = -a - o, -10 = 5*o. Let w = -458 - -468. Solve 4*c = r + w, 4*r + r = -c - a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 12*o**2 - 17*o - 30. Let w be h(10). Suppose w = -22*x - 2*x + 240. Calculate the least common multiple of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6384 = -3*m + 18735. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5.279973 + 0.09\nAnswer: 5.369973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155645 + -4?\nAnswer: 155641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.5 + 2.1. Let r = 0.6 - p. What is the biggest value in 0.3, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -320347, -320403, -320459, -320515?\n\"Answer: -56*f - 320291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*k - 135 = -117*k - 114*k + 393 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*z - 10, 6 = -3*z + 4*g - 2. What is the third smallest value in -6, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(36\/(-10) - -3). Suppose 0 = -w + z + 7 - 0, -w - t*z - 5 = 0. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 2*s + 9. Let l be q(5). Is 12 a factor of 4\/6 + 428\/(-36)*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 23*x**2 + 598*x**2 + 0*x - 257*x**2)*(0 + 2*x + 0).\nAnswer: 636*x**3 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 37. Is (3\/6)\/((-1)\/k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -12.3, 0.04, 3\/8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:57 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20, 4, 2 in increasing order.\nAnswer: 2, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7100 by 8.\nAnswer: 1775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 10) to base 8\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/24 and 55\/4134.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 57264*m + 8657100.\nAnswer: -3*(m - 19238)*(m + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100121 is divided by 837?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682833 is divided by 341416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 0.4, 22, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 - 4*u**3 - 3*u**3 + (-10*u - 4*u - 16*u)*(-6*u**2 - 13*u**2 + 26*u**2) + 0 + 0 + 3*u**3 in the form y*u**3 + w*u + n*u**2 + p and give y.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021448938 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. Let g be 1 - (-5)\/15*-1. Factor 0 - 2*d**2 - 2\/3*d**p + 2*d**3 + g*d.\nAnswer: -2*d*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 + 5 + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2064659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7649b - -4?\nAnswer: 764a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 14*l**2 + 3. Suppose -3*x = -8*x - 70. Let h be q(x). Factor 24*c + 4 + 44 + 3*c**h + 0*c**3 - 21*c**2.\nAnswer: 3*(c - 4)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -4, -228\/47, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/6)\/(118\/(-649)))\/((-2)\/(-8))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16272*m**4 + 3*m**3 + 1697*m + 53.\nAnswer: 195264*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23746 by -17401.\nAnswer: 23746\/17401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*v = 17, -7 = -4*i - 10*v + 5*v. Suppose 526 = i*x - 107. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 + 350*g**4 - 14604*g**3 + 14256*g**2 = 0. What is g?\nAnswer: 0, 1, 66, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 = -20. Let f(l) = -6*l**2 + 2*l - 3. Let z(q) = q**2 - q. Let o(y) = -f(y) - 5*z(y). Determine o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*m - 34, -799*l - 5*m = -800*l. Sort l, -1\/10, -4, -2\/7, -4\/9 in decreasing order.\nAnswer: l, -1\/10, -2\/7, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 4.1. Let u = 4.4 - g. Let z = 2 - 0. Put z, -1\/2, u in ascending order.\nAnswer: -1\/2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*s + 6 = 0. Suppose 4*d - 199 = s*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5497*t**2 + 510*t - 21. Is r(3) a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0.8. Let z = 297 - 620. Let f = -372 - z. Is w > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -34, -43, -54?\n\"Answer: -x**2 - 4*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141016 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.27 and -1.9.\nAnswer: 2.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jss when three letters picked without replacement from sjjxsjssssxjx?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*v = 146, m - 2*v - 152 = -m. Suppose f = -3*w + 145, m = w + 4*f - 9*f. What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747*s + 549*s - 700*s.\nAnswer: -898*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2597 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 102001111220 (base 3) to base 7\nAnswer: 1564311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 3. Let w be 3 - -4 - 4 - -31. Let k(n) = 6*n + 17. Let f(d) = w*y(d) + 6*k(d). Let g(s) = 3*s**2 - 4*s**2 - 5*s**2. Calculate g(f(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*i**3 + 139*i - 3171?\nAnswer: 18*i**2 + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v**0)\/(v*v**(5\/3)*v\/v**2) assuming v is positive.\nAnswer: v**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 15. Let x be w(-11). What are the prime factors of (-90)\/(-4) - (-6)\/x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4081.105 - -4081. Is r > 1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 1287?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524297.\nAnswer: 17, 30841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*30\/(-320)*4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 4*o**3 + 0*o**3)*(-2*o + 0*o + o) + (-85*o**2 - 13*o**2 - 9*o**2)*(5*o**2 - 3*o**2 - 3*o**2).\nAnswer: 106*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714173748.\nAnswer: 2, 3, 19, 131, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*g**2 + 4*g**3 + 46310 - 43214 + 105*g**2 + 48*g**2 - 3588*g = 0 for g.\nAnswer: -129, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -155, -168, 142, -1\/4 in ascending order.\nAnswer: -168, -155, -1\/4, 3\/2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**8\/r)**(4\/13)*(((r\/((r\/(r\/(r**11*r*r)))\/r))\/r)\/r)**(1\/6) assuming r is positive.\nAnswer: r**(23\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -302342093 divided by 3383\nAnswer: -89371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4120, 4129, 4152, 4195, 4264, 4365, 4504, 4687?\n\"Answer: i**3 + i**2 - i + 4119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 681 (b) 4 (c) -12815 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -915041 to the nearest 10000.\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (680\/17)\/(-160)*1*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -141*q + 137*q + 235992. Let z = q - 6135839\/104. Calculate the common denominator of 19\/4 and z.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2634 * 3.\nAnswer: 7902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91804\/38745 + -4\/4305. Find the common denominator of ((-171)\/(-486))\/(((-6)\/63)\/2) and m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + r**2)*(-2*r - 4*r + 5*r) + 2*r**3 - 3 + 3 + r**3 - 2*r**3 + 2*r**3 - 3*r + 94 - 18895*r**2 + 18895*r**2 + 2*r**3.\nAnswer: 4*r**3 - 3*r + 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 - 20*q**2 + 5*q + 20 = 0. What is q?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttj when three letters picked without replacement from {t: 14, j: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146.66 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1428, 2846, 4264?\n\"Answer: 1418*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 34*n**2 + 31*n - 333. Give h(18).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 12 + 12)*(2 - n**3 - 2) - n**4 - 4*n**4 - 6*n**4.\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 0*y - 1\/4*y**4 + 0*y**3 - 3\/2*y**2 + 3. What is the second derivative of z(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-35)*(-14)\/(-4)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*d**3*r + d**3 + 2299*d**2 + 11*d*r**2 wrt r.\nAnswer: -17*d**3 + 22*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5 = -0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 + 274*w**3 + 0*w**2 - 785*w**3 to the form j*w**2 + y*w**3 + q + b*w and give y.\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10*r**2. Let m(u) be the second derivative of u**3\/6 + 2*u. What is m(s(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -32*s + 10*s. Calculate the highest common divisor of 258 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341665?\nAnswer: 5, 23, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -280588030.4 - 0.027\nAnswer: -280588030.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggtgttttt. Give prob of picking 2 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110100011 + -1010111110?\nAnswer: 1011011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3055 divided by -3055?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-8) + (1 - (0 - -9 - 4))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 21 = i, 4*k - 18 = -i. Let o = -6 + i. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsuskkk. Give prob of sequence szk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from sllnnyblsllbbllbbl.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 + 228. What is the third smallest value in 2\/5, i, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1181496400 rounded to the nearest one million?\nAnswer: -1181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 45. Let x be (-39)\/u - (-12)\/(-30). Suppose -3*j = 4*y - 11, 3*j - 3 - 11 = -y. Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 281*w - 10781. Is d(60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*r + 2*r**2 + 52*r + 39*r - 3*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 651668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 151?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**3\/6 + y**2\/2 - 309*y. What is v(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzazzzzszzzazzzzaaa. Give prob of picking 3 z.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 252*u + 347*u**2 + 250*u - 353*u**2 - 165 - 169*u.\nAnswer: -3*(u - 55)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847788 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 263250 and 1800.\nAnswer: 1053000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2053.6728 rounded to the nearest integer?\nAnswer: -2054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -783 > -787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 17 = -3*f + 19*w, 6*w - 60 = -6*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -909.2 and -3155.\nAnswer: 2868526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:26 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 261242 or 261255?\nAnswer: 261255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4 + 14*u**3 + 2136*u**2 + 40834*u + 229177 = 0.\nAnswer: -17, -13, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4 + 0.6. Let p = -0.8 + -2.7. Let s = p - -4. What is the biggest value in s, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-960)*4\/(-11). Let h(n) be the third derivative of t*n**5 + 4\/33*n**3 + 0*n + 0 - 3*n**2 + 1\/33*n**4. Let h(m) = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 + 119. What is the closest to u in 3\/2, -35, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -797 at most as big as -797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20837, -41613, -62371, -83105, -103809, -124477, -145103?\nAnswer: -165681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-7)))**(-7\/2)*n*n*n**(-14)*n*n**(-2\/15)\/n assuming n is positive.\nAnswer: n**(-602\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171489350 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3734407943 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2 (b) 3\/2 (c) -5\/692\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16470216 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8187452439646 - 224*l**3 - 8187452439646 + 221*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 11*g - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*j + 133*j = -9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 17 = 3*y, -23*t + 22*t - 9 = -2*y. Find w such that w**y - 4\/3*w + 0 + 11\/3*w**3 + 8\/3*w**2 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88737 is divided by 217.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 3*g - 7*g + (3 + 0 - 5)*(g - 2*g + 2*g).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 2*k**2 + k - 1. Let i be d(2). Solve -4*v - j = -i + 17, -3*v = 4*j - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217683 - 217683 - 834*d)*(3*d - 8*d + 4*d)*(-d + d - d).\nAnswer: -834*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8) - 8082\/(-4). Let b be (-9)\/(-30)*h\/(-15). Let g = b - -40. What is the nearest to g in 0, 3\/4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 918 divide 3307600818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*m**3 - 86*m**3 + 207*m**4 + 45*m**3 + (-3*m**3 + 4*m**3 + m**3)*(m + 3*m - m) to q*m**2 + w*m**4 + g*m + k + p*m**3 and give w.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382.3799 hours to minutes.\nAnswer: 22942.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2113*g**3 - 4*g - 906 wrt g.\nAnswer: 6339*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vma when three letters picked without replacement from fdadxvmamavamvvmvfff.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13434*j**4 - 2*j**3 - 2*j**2 - 455423*j wrt j?\nAnswer: 322416*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96697, 193396, 290095, 386794, 483493?\nAnswer: 580192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464 = 32*i - 1688 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.4 (c) -1 (d) 14 (e) -11\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 1 (b) 257 (c) -3\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 69*g - 9. Let a(s) = 17*s - 2. Give 9*a(n) - 2*b(n).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) 1\/4 (c) -0.4 (d) -5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 + 1157 = -2*g. Let q be (-29)\/(-9) - 2\/9. Let v be -4 + 5 - (g + q). Round v to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(8\/5)*s*s)*s)**(-19)\/(s\/(s*s**(-18)\/s))**(-18\/5) assuming s is positive.\nAnswer: s**(494\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1716187*r + 10 - 19 + 9.\nAnswer: 1716187*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -44*o**4 - 21*o**3 - 992*o + 7. Let j(r) = -15*r**4 - 7*r**3 - 331*r + 2. Let b(u) = -7*j(u) + 2*z(u). What is the second derivative of b(g) wrt g?\nAnswer: 204*g**2 + 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 159516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46044 is divided by 23007?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**4 + 0*i**4 - i**4)*(-3*i - i + 5*i + (-2 + 3 + 0)*(-2*i - 1 + 1) + i - 3*i + 6*i) + (-i**4 + 2*i**4 - 3*i**4)*(-3*i + 2*i + 34*i).\nAnswer: -60*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8646 is divided by 320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**2 - 9. Let i be v(3). Is 98 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/15 + (-124)\/(-30). Let d(z) = 57*z**2 - 8 - 2260*z**3 - l + 801*z**3 + 16 + 60*z. Let o(t) = -3*t**3. Let n(h) = -3*d(h) + 15*o(h). Factor n(r).\nAnswer: 3*(4*r - 1)*(19*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -86)*(-16)\/12. Let b = -117 - -49. Let a = b + s. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 + 2*x**2 + 2*x - 2. Let g(n) = n**3 + n**2 + n - 1. Calculate -b(j) + 2*g(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**4 - 2*m**3 + 2*m. Let g be -2 + 2 + 4\/2. Let j(u) = u**4 + u**3 - u + 1. Let s(f) = g*j(f) + y(f). Differentiate s(l) wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27493, -27494, -27495?\nAnswer: -27496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/((-2)\/6*-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -15, -1, 33, 99, 209, 375, 609?\n\"Answer: 2*i**3 - 8*i**2 + 16*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-680)\/(-630) - ((-10)\/(-9))\/5. Factor 3\/7 + 0*s**3 + 3\/7*s**4 + 0*s - g*s**2.\nAnswer: 3*(s - 1)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 69 = -3*i + s, -4 = -2*s. Calculate the remainder when 55 is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (1164\/(-20) - 4). Let x = k + -1587\/35. Let z = 1284\/77 - x. Which is the nearest to z? (a) -2\/15 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - -4.9. Which is the third biggest value? (a) r (b) -4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 249*f + 266*f + 88.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(1624\/368) + 6\/1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 23*t**2 + t - 20. Let f be x(23). Solve 16 = b + f*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 12*f - 19. Let x be d(-9). Suppose x*k = 4*i + 3*k - 20784, 5*k - 10422 = -2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1)**7)**36)**(32\/5) assuming f is positive.\nAnswer: f**(8064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -p + 3*k, -17*p - 2*k = -21*p + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*q**4 + q**2 - 38*q**4 + 82*q**4 + (-3 - 2*q + 3)*(-2*q**3 + 0*q + 0*q) + 4 - 4 + 2*q**4.\nAnswer: 8*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 4. Let i be y(5). Let j = -1 - i. Suppose b - 2*w - 47 = j, b + 0*w - 50 = -w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56068\/3)\/(-2) + (-17)\/51. Let a = c + 17752. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 179*z - 5065. What is k(-35)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -295, -420, -527, -610, -663, -680?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/45 and -17\/24596730.\nAnswer: 24596730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*o + 16, y - 5*o = -0*y - 24. List the prime factors of 3 + 11\/1 + y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -0.1.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*a = 103*a + 12. Let x = a + 4. Sort x, -1, 4, 5.\nAnswer: x, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3500, -14107, -31820, -56639, -88564?\n\"Answer: -3553*f**2 + 52*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8823 = 550*r + 613*r - 34409 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 4 - (252\/(-14))\/(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 2268*z**2 - 11403*z - 9132.\nAnswer: 3*(z - 761)*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/12 + 50\/15. Suppose 5*b = b + 4. Suppose -c + 1 = -b. Solve 2*k + c = h*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2\/9*i**2 + 2\/9*i + 4\/9 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 3. Let k(h) be the third derivative of -h**6\/120 - h**4\/12 - h**3\/3 - h**2. Let c = 126 - 119. Suppose -c = -n - 5. Give n*o(z) + 3*k(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 19*f**2 + 60*f + 2. Let c be g(15). Let u(v) = -7*v - 6. What is u(c)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, 18, 55, 72, 63?\n\"Answer: -j**3 - j**2 + 61*j - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -78. What are 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*y - 4 = -0*y. Let v be -4*(0 - y\/2). What is the units digit of (3\/v)\/(5\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 8:18 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -475655*h. Let x(o) = -9*o**2 + 2. Give k(x(d)).\nAnswer: 4280895*d**2 - 951310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4378512 + -11?\nAnswer: -4378523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 5*r. Suppose 3*n = 2*l - 22, 3*l + 2*l - 3*n = 46. Suppose 0 = -4*b + l - 24. Let x be (-5)\/((-10)\/b)*2. What is d(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3680*i**3*n**2 - 2*i**2*n**2 + 7*i - 10941*n**2 wrt i?\nAnswer: 22080*i*n**2 - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 31*i + 6. Let j(f) = 57*f + 11. Let h(w) = -11*g(w) + 6*j(w). Let v(a) = -5 - 1 - 3 + 5 + 4*a. Give v(h(d)).\nAnswer: 4*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyaqywqyyyzwq. What is prob of sequence zw?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, v: 1, a: 1, w: 3}. What is prob of sequence akw?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 = 47*b - 2*l, -2*l + 46 = -8*b + 13*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, z: 5, k: 6}. What is prob of picking 2 r and 1 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + 9.8. Let k = 0.9 + 0.1. Which is greater: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnwwdmwlwm. Give prob of picking 1 w, 1 n, 1 d, and 1 m.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 568.428 decades in centuries?\nAnswer: 56.8428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 19\/77, -2\/33, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -290601465, -581202931, -871804397, -1162405863, -1453007329, -1743608795?\n\"Answer: -290601466*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dad when three letters picked without replacement from mddddamdmadmdddd.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*a*c**2*d + 26850*a*c**2 + a*c*k + 1723*c**2*d*k + 20*c*d*k - 2*c*d - c*k wrt a?\nAnswer: 44*c**2*d + 26850*c**2 + c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6720 and 1053024.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/5306936 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71416 is divided by 2917.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z + 5*d + 33, -2*z + 2*d = -82. Let y = 40 + z. What are the prime factors of y?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 120 + 42 + j**2 + 37.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3452*p**4 - 11*p**3 + 2*p**2 + 3575594 wrt p?\nAnswer: 13808*p**3 - 33*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-12)*3*4\/10. Let n be 0 + (w - -5) + -2. Solve 3*i - 4*i + n = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*d + 2341 + 2402 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*q + 22*q - 348348 = 0. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 201 = -9*t + 14*t, 5*p = 4*t + 141. Put t, 0, -4, 2 in decreasing order.\nAnswer: 2, 0, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68 * -0.06.\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 962 and 310060?\nAnswer: 4030780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 190144 divided by -95072\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20834, -20842, -20850, -20858?\nAnswer: -20866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1428*v**2 - 5680 + 3136*v**3 + 5680 wrt v.\nAnswer: 18816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2*(-8)\/64)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 119909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/9 (b) -3\/5 (c) 2\/19 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*2277\/180 - (12\/10)\/2. Let j be 263 + 2 - (-1 - 0). Suppose 5*m - j = f, -m = 2*f + f - r. Calculate the smallest common multiple of 6 and m.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3 - 2, 3*r + 4*d = 155. Let f = 84 - 53. Let j = f + r. Round j to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/3 + 44032*n**2\/3 - 366707*n - 792126 = 0. Calculate n.\nAnswer: -2, 27, 44007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -333.28 + 328. Let o = -0.28 - m. Let p(j) = -j + 8. Let t be p(5). Put o, t, 1 in ascending order.\nAnswer: 1, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -151.3, 3\/7, -0.3, -0.13?\nAnswer: -151.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 40 = 6*q. Solve d - 5*d = q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*h - 18. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.2 + 47. Let x = 0 - 0. Suppose 16 = -4*p - x*p. Which is the second biggest value? (a) -4\/7 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37959 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (23\/46)\/(1\/(-3314)). Is -1657 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 7 in decreasing order.\nAnswer: 7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 837709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (3 + -5 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.9 * 0.33.\nAnswer: 2.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 2. Let k be c(0). Let s(a) = -6*a + 1. Let h(g) = -13*g + 2. Let f(w) = k*h(w) - 5*s(w). Find the first derivative of f(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0355 + 0.03.\nAnswer: 0.0655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20077 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8217404 - -8217398.000003. Let a = -0.9 + 6.9. Let v = a + u. What is v rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 38*h + 22. Let a be (4 - 1)\/(-3) + 5. Solve -h = -a*t + 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/384 and (-1)\/4 - (4 + (-21 - -2)).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 114\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67632 a multiple of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-35) - (-274)\/7. Let i be (6\/(-8))\/(b\/(-26)). Factor 0*z + 0 - 1\/2*z**4 + i*z**2 + 0*z**3.\nAnswer: -z**2*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (8 - 3) + 3 + 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 94. Give q(0).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6812*r + 8143. Let f be w(-7). What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 176 = 2*c + 70, -5*l + 1217 = 3*c. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267*p + 109 = -1284*p - 95 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/5 - 4*h**4\/5 - 2322*h**3\/5 + 24868*h**2\/5 - 89024*h\/5 + 105792\/5 = 0. Calculate h.\nAnswer: -38, 3, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.957 + 0.003. Let u = -40 - -39.96. Let p = u - v. Which is the nearest to p? (a) 0.1 (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(513))\/(sqrt(27)*-5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:47 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 2*w**3 - 1\/12*w**4 + 0*w + 6*w**2 - 1\/60*w**5 + 0. Let b(r) be the first derivative of x(r). What is b(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.071*-0.08\nAnswer: -0.00568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-234)*1)\/(4\/(-6))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3134 or -1?\nAnswer: 3134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -89.313*0.7\nAnswer: -62.5191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18797 is divided by 3758.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -600 divided by -75\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63607 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 6*o + 1. Let f be k(5). Find the first derivative of -7*w**3 + f - 2*w**3 + 6*w**3 wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 5*p - 5. Let a(q) = -q**3 + 4*q**2 + 3*q - 6. What is the lowest common multiple of l(5) and a(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.3523 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146)\/292*56\/(-24)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/3, -186.9, 11\/5 in increasing order.\nAnswer: -186.9, -3, -1\/3, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6*2)\/(-1). Let b be ((-3)\/9)\/(t\/3). Suppose -b + 16 = 5*d - a, -5*d + 30 = -4*a. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:35 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 361150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -18, 26, 110, 246, 446?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 9*k - 2. Let p be y(4). Let v be (-10)\/(-5)*p\/(-4). Solve u = -2*u + v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = -1676*q + 1702*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 25*i**2 + 82*i + 45. Let b be c(21). Let o(h) = 40*h. Let l(d) = -13*d. Give b*o(t) + 10*l(t).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*t + 466*t - 174 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5062 - 2306. Is 38 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2212022 and 2.\nAnswer: 2212022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -44. Solve a - y = 4*p - 5, 0 = 5*a + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**8\/560 - g**7\/50 - g**6\/100 + 7*g**5\/50 + g**4\/40 - 7*g**3\/10 - 25*g**2. Suppose a(i) = 0. Calculate i.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -47. Suppose 4*a + k = w, a + 4*k + 0*k + 16 = 0. Find the second derivative of 13*b**4 - 8*b**4 + 13*b**a - 13*b wrt b.\nAnswer: 216*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**2 - 5*k + 3. Let f(x) = -x**2 + 69*x - 5 + 13*x**2 - 60*x. Let a(d) = -3*f(d) - 5*z(d). Calculate a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huu when three letters picked without replacement from {b: 3, r: 2, h: 1, u: 5, d: 1, y: 1}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56863, 62061, 67259, 72457, 77655, 82853?\n\"Answer: 5198*u + 51665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4*k - 4*k)*(8*k - 8*k + 14*k) + 2*k**2 - 3*k**3 - 2*k**2 + (4 + k**2 - 4)*(0 + 0 + k) - 2*k + 2*k - 2*k**3 + 3*k**3 - 2*k**3 + k**3.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135 or 134?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1948*i + 1939*i = 117 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.02, -3\/11, -7?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -983 - -5885\/6. Calculate the common denominator of f and -83\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a86d - 3?\nAnswer: a86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4148606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 4. Suppose 2*h = -2*l + 14, 5*h + 2 - 27 = -3*l. Let p(c) = c - 4*c - h - c**2 + 3. Let k be p(-4). What is q(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**4 - 22*i**3 + 681*i**2 + 6162. Let y(g) = g**4 - 4*g**3 + 136*g**2 + 1233. Let u(s) = -2*a(s) + 11*y(s). Differentiate u(j) with respect to j.\nAnswer: 12*j**3 + 268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1685259, -1685254, -1685249, -1685244?\nAnswer: -1685239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 8*a**7\/21 + 11*a**3\/6 + 3*a. What is the second derivative of x(o) wrt o?\nAnswer: 320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8911000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(65)\/(-3*sqrt(5)) - sqrt(13) - sqrt(13)))*1)**2 + -3.\nAnswer: 1273\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 + -0.02?\nAnswer: 509.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcc when three letters picked without replacement from ccbfiifffcgccccggg?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 100*y - 141. Let q(n) = 25*n - 35. Calculate 15*q(l) - 4*w(l).\nAnswer: -25*l + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35 - 3820*d**6 + 5*d**2 + 15 + 3299*d**6 + 0 wrt d?\nAnswer: -62520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236420104 and 984?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4712110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 7*o - 23 + 58 = 0, -5*r - 25 = 5*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 87150, 1, 2 in decreasing order.\nAnswer: 87150, 2, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143 a factor of 537994109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100110221111012 - -11?\nAnswer: -100110221111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2*s - 3*s + (1 - 1 - 2)*(1 + s - 1) - s - 2*s + 4*s - 15*s + 14*s - 13 - 8 + (-5*s + 4*s + 0*s)*(1 - 4 + 2).\nAnswer: -3*s - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5*7\/(-140))\/(-2*2\/64)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31246 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 5*t**2 - 6*t + 4. Let p be s(6). Let o be 1 + -2 - p - 0. Let k = 5 - 1. Which is the biggest value? (a) o (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8602 and 30866?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4760407 from 9.\nAnswer: -4760398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -387 - 30*d**5 + 387 + 0*d**5 - 2*d**5 + 4*d**5 - 6*d**3 + (-2*d**4 + 2*d - 2*d)*(-3*d - d + 3*d) - 6*d**5 + 6*d**5 - 3*d**5.\nAnswer: -29*d**5 - 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7267 - 7276. Let v(h) = h**3 + 9*h**2 + 11*h + 87. Give v(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32320021 (base 4) to base 12\nAnswer: 2b321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. What is the remainder when (-12)\/(-8)*(-64)\/(-6) is divided by k\/3*9\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/60)\/((-4)\/10). What is the highest common divisor of 5 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -935*n + 23439. What is b(25)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*g - 156*g - 276 = 0. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 252*l + 30. Let p be c(-5). Is p\/(-4) - (-2)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2578 + -2572. Let g(m) = -m**3 + 2*m**2 + m. Let h be g(2). Let y = -2 + h. Solve 2*v + y = b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 5721 - 22945 + 5740 + 5746 + 5738.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z, -z = -8*j + 3*j + 7. Suppose -4 = 4*d - 4*u, -d + j*d - 15 = -3*u. Solve 2*w + 0*i - 1 = -d*i, -3*i - 3 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-18 + 14 - -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllxlxllxlpx. Give prob of picking 2 l and 1 x.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -7805 (b) -0.1 (c) 6 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 + 6*b + 3. Calculate j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*b = -2521 + 212 - 271 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h + 114. Let o be g(9). Let l be (-6 - 0) + 108\/o. Factor -2\/5 + l*u**2 - 4\/5*u.\nAnswer: 2*(u - 1)*(3*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2759194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -130*g + 39. Let c be m(-3). Let u = c + -159. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-25)*195\/(-6). Suppose t = -q*t + 14644. What are the prime factors of t?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:27 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -973967 or -973968?\nAnswer: -973968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 724 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 5) to base 16\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvxlxbltcv. What is prob of sequence tcv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196837181?\nAnswer: 29, 6787489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134 and 35?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 590\/575 + 7\/(-35) + 0. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 574484.6ml?\nAnswer: 574.4846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2208 + 349. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (91\/(-5))\/(2\/(-5)). Let o = -139\/3 + y. Calculate the common denominator of (-116)\/(-36) - (-8 - -18) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (13 - 8 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -144. Suppose -3*u - 8 = -7*u. What is the third derivative of -5*a**3 - a**3 - u*a**2 + p*a**2 + 5*a**3 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 0*3\/15. Which is the third smallest value? (a) w (b) -4 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-6)\/(-12048)*2). Let l = d - 201. What are the prime factors of l?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69036 - -136487. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 v when three letters picked without replacement from vmvibjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 5:07 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50664424*f**2 + 20005*f - 881.\nAnswer: -101328848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 26. Let s = 7 + -12. What is the closest to h in 1\/7, -3, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*t - 1, 4*d + 3*t - 4 = 5. Let v be 3 + 2 - (d + -2 - -2). Suppose -v*j - 4 + 36 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 31 = -4*h - 5*o, -51*o = 5*h - 48*o - 27 + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21 + 2*v + 32 - 27*v**2 - 2*v wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 451?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144 - -5?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 + 1016*h\/9 - 680\/3.\nAnswer: 2*(h - 2)*(h + 510)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/2, 4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 4*x - 5. Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14644.08666s?\nAnswer: 0.02421310625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -308 - -311. Let f(j) = -2083340*j + 20. Let a be f(u). Round a to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073152.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h + 2*h)*(7*h - 4*h - 4*h) + (-5*h + h + 2*h)*(-2*h + 2*h + 2*h) - 2*h + 2*h**2 + 2*h.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 1:02 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.072? (a) 8\/317 (b) 43 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -142694, 1\/9, -1, -0.08 in decreasing order.\nAnswer: 1\/9, -0.08, -1, -142694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -21, -1346, 82.\nAnswer: -1346, -21, -3, 2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 7:48 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1 + 9*t - 11*t**2 - t**3 + 11*t - 38*t + 8*t. Determine l(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmccccccmmcmmcwcwmm. What is prob of sequence cccc?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*k + 1. Let l be 0\/(-1 + 2 - -2). Suppose -3*v = -5*j, 5*j - 3*j - 2*v = l. Solve j = k*x + w + 4 + 4, -x + 3 = 4*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4012 and 1180?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -24530634 and -1.4.\nAnswer: -24530635.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/115? (a) -1\/2 (b) -2 (c) 7 (d) 20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -28, -70, -138, -238, -376, -558?\n\"Answer: -r**3 - 4*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 + -119. Is (24\/10 + -1)\/(3\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11599 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grfgygyggryygyr. Give prob of sequence yrr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*w + c = 4, 3*w - 3*c = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*d - 2*d - 221 + 663 - 219 - 224 in the form j*d + y and give j.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -207 - -127?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 191? (a) 16 (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*f**5 + 315*f**4 + 7748*f**3 - 752090557*f**2 wrt f.\nAnswer: -1920*f**2 + 7560*f + 46488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38552 to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2272*b - 65889. Give y(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9080228 (base 10) to base 13\nAnswer: 1b5c021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 19*d**3 + 372*d**3 + 215*d**3 + 87*d**3 + 244*d**3.\nAnswer: 899*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4726*-0.5.\nAnswer: 2363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 298*a**2\/3 + 3055*a\/3 + 7700\/3.\nAnswer: -(a - 308)*(a + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.2 + -17. Which is smaller: r or 1.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28404*f**3*i**4 + 156620998*f**3 + 4148*f**2*i**4 - f*i**2 wrt i?\nAnswer: -681696*f**3*i + 99552*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/(-96)*1\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 - 10.93. Let s = -10.5 - l. Let d = 9742\/33 - 3240\/11. What is the biggest value in d, 1\/3, s, -0.06?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3825231?\nAnswer: 3, 67, 19031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1411279\/9 + -157060. Let n = s - -251. Which is the third smallest value? (a) n (b) 1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3624 - 3606. Solve 5*u - 2 = 5*i + y, -i + 5*u - 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 773 (b) -44\/27 (c) -2\/5 (d) -4\/13 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + w = -28 + 2, 0 = -5*j + 5*w + 30. Let d be (-42)\/63 + j\/(-12). Do d and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3930512s in nanoseconds?\nAnswer: 393051200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 24*m + 3. Let p be v(14). Let g = p + 138. Which is smaller: -2\/57 or g?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 2421?\nAnswer: 24210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2 - 2.3. Let w = 0.1 - o. What is w rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 1728\/(-294))*(61712\/(-29))\/38?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -19\/6, 0.5, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1034c - -9?\nAnswer: -10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(99)*2 + (sqrt(99) - -1*sqrt(99)*2)\/(sqrt(9) + sqrt(81)*-2))**2.\nAnswer: -54*sqrt(11)\/5 + 8044\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -18*a - 54 + 9. What is the nearest to -1 in 4\/177, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -8260.\nAnswer: -1\/2065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.232465 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + sqrt(684) + 2 + sqrt(684)*2 + 4 + (-6*(sqrt(133) + sqrt(133)*-1 + sqrt(133)))\/(sqrt(84)\/sqrt(3)))**2*6.\nAnswer: 1512*sqrt(19) + 50490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*d - 200*d + 34 = 4174 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000187106828 rounded to six dps?\nAnswer: -0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 10886913 and 10886957 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -54487865780.005.\nAnswer: -54487865785.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 15 = 0, 2*t = 4*t - k - 33. Let f = t - 9. Solve -6*q = -u - 2*q - f, -u - 3*q + 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201483648.\nAnswer: 2, 3, 29, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/30)\/(23\/(-69)). Sort -1, -485, -3, n.\nAnswer: -485, n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267802 take away -69435?\nAnswer: 5337237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -39. Solve c = 4*b + 2*c + 2, -c - 2 = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2104828?\nAnswer: 2, 11, 47837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-12)*1)\/(30\/20). What is the closest to 7 in -0.2, -1, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(24\/20)*2\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/7 - 313120*c**2\/7 + 12260525184*c\/7 - 392016236544\/7 = 0?\nAnswer: 32, 78264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246048 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 218 + -373. Let s be (-230)\/3 - (-2)\/3. Let h = s - n. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Determine w so that 0*w + 0*w - 3*w + 2 + w**d + 6*w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/40 + 13*n**5\/20 + 55*n**4\/8 + 75*n**3\/2 - 11*n**2. Determine s so that k(s) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, -9, 12, 14.\nAnswer: -9, -2, 3, 4, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 6*w**2 - 4*w + 15. Let o be a(8). Find the common denominator of -44\/25 and 2*o\/80 + -1.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 - 357*n - 3048 = 0?\nAnswer: -8, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*h + 5*u + 60 - 237 - 100, 0 = -4*h + 36*u - 32*u + 4 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qghgkgzgzgzxg. Give prob of picking 1 k and 1 z.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 3. Let a(q) = -q**3 - q + 1. Let m(x) = 6*x + 76. Let f be m(-13). What is f*t(l) + 6*a(l)?\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197540 divided by -34?\nAnswer: -5810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-2 + 3*sqrt(40)\/sqrt(4))\/(-2*(sqrt(32) + sqrt(3872) + (sqrt(3872) - -3*sqrt(3872)))).\nAnswer: 5*sqrt(5)\/448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 26*r - 25. Let i be x(-23). Let u(t) = -5*t + 211. Let j be u(i). Which is the second biggest value? (a) j (b) 2\/9 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3203, -3199, -3193, -3185, -3175, -3163?\nAnswer: -3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051157917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472268859?\nAnswer: 2143, 687013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/u**(-1\/4))**13 assuming u is positive.\nAnswer: u**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 11*l**3\/6 - l**2 + 15*l. Let j = -8 - -13. Let z(m) = 7*m - 1. Calculate j*a(w) - 8*z(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*p - 19*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + 18*k + 81. Let q(j) = -j**2 - 4*j - 18. Let i(a) = -4*o(a) - 18*q(a). Let g(r) = -2*r - 33. Calculate i(g(z)).\nAnswer: -8*z**2 - 264*z - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-36) - 31738\/(-144). Let i = 221 - q. Let j = -8 + 6. Which is the third biggest value? (a) j (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.18 - -4.71. Let l = j + -1.07. Let g = -0.72 + l. What is g rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) 5 (c) 0.3 (d) -0.2 (e) 60\/313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 74896 divided by 2\nAnswer: 37448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/2, -2\/13, 0.3, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwp when three letters picked without replacement from {z: 1, o: 1, w: 2, p: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, and 1 y when three letters picked without replacement from {o: 1, d: 3, t: 2, y: 6, g: 2}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7653193.\nAnswer: 7653193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z\/((z**4*z)\/z)*z)\/z*z))**(-21))**(-1\/15) assuming z is positive.\nAnswer: z**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6 - 9\/(-6). Let n = 5 - k. Suppose 0*v - 3*v = -n. Calculate the greatest common factor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 808.65701 + -29.63366. Let p = c - 779. Round p to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12758 divide 5852804064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(26871\/338)*-93*1*-1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.4883ng in milligrams?\nAnswer: 0.0000674883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzw. What is prob of sequence zw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.86 + 0.9. Let k = y - -0.36. Which is the nearest to -0.4? (a) 1 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*t + 31*t - 335*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*r**3*y - 73*c*r**2*y - 5*c*r + c*y**2 + 11*c*y + 27*c + 10673158*r**3*y**2 + 2*r**3 wrt y?\nAnswer: 2*c + 21346316*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4 (c) 546 (d) 3 (e) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 14*r**2 + 46*r - 12. Let m be y(-6). Sort -7, m, -22 in descending order.\nAnswer: m, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/(156\/(-13)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/19817 + 5826188\/99085. Let g = -1 + 61. Is k < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/21)\/((t\/(t\/(t**(2\/5)\/t)))\/t)*((t*t*t**(-3\/4)*t*t)\/t)**(-15\/2) assuming t is positive.\nAnswer: t**(-12911\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y = -11*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*v - 54 = 2, 12 = -4*v. Let r = z - 5. Calculate the greatest common factor of 119 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413622647 and 7372?\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -95*n + 98*n - 15, 0 = -4*o - 5*n + 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212479190 divided by 79.\nAnswer: 2689610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(48\/600 - 21\/(-50)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18 - 16) + 1 + 11259\/(-21). Let t = m - -533. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 20*u - 66. What are the prime factors of y(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423641 (base 7) to base 14\nAnswer: -1ca58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 2:24 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16556?\nAnswer: 2, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 5 (c) 0 (d) 12\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 2, k: 7}. What is prob of picking 1 h and 3 j?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*f**2 + 2 - 22*f**3 - 21*f**3 - 28*f**2 + 51*f**2 to p + b*f**3 + i*f**2 + w*f and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 3. Let p(m) = -m**3 + 1. Let a(o) = -o. Suppose -5*q + 31 = 2*y - 0*q, -4*y + 22 = 2*q. Let r be a(y). Determine r*p(x) + s(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/25 - 23\/100. Let t(u) be the second derivative of 0 + 0*u**3 + 0*u**2 - 4*u - q*u**4. Factor t(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -282. Let z = t - -153. Let v = z + 54.6. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 6) + -2 - 2*-2. Solve 5*i - 21 = -0*x + x, -s*i = 3*x - 37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2972 divide 1282575516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288.08 - 617.\nAnswer: -328.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m + 409 + 426 = 277 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 117*q**2. Let d be m(-1). Let f = d - 5. What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 20*b + 103. What is the remainder when 43 is divided by w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {d: 4, a: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99.75 + -0.25. Let n = r - -100. Which is the third smallest value? (a) 0.25 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 - 72*z + 398. What is v(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/55)\/((-70)\/150)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s - 1. Calculate n(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 <= -0.038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l. Suppose -g + 1 = -l*g + o, -4*o - 12 = 0. Suppose 0*b - 216 = -4*h - g*b, 4*h - 191 = b. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**5 + 9*l**5 - 6*l**5)*(-11 + 36 + 10) + (2*l - l + 0*l)*(3*l + 2*l**3 - 3*l)*(-2*l + 5*l + 0*l).\nAnswer: -99*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 754*p = -749*p - 4, -3*l - p = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 193, 255, 423, 751, 1293, 2103, 3235, 4743?\n\"Answer: 9*y**3 - y**2 + 2*y + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9*m**(-4\/9)*m)\/((m**(1\/5)\/m)\/(m\/(m\/m**(-2\/23)))) assuming m is positive.\nAnswer: m**(10628\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -112, -109, -104, -97, -88?\n\"Answer: v**2 - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000080258 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22877 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.04 + -0.04. Let h be 18\/10 - (19 - 18). Let g = -5.01 - -1.01. Which is the smallest value? (a) m (b) 1\/2 (c) g (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2206975361923*g + 2*g**2 - 98 - 2206975361923*g.\nAnswer: 2*g**2 - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**(-1\/4)))**25*d**0\/d**(-1\/12) assuming d is positive.\nAnswer: d**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/3 - 44*v**3\/3 - 480*v**2 - v - 73. Factor n(k).\nAnswer: 4*(k - 30)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-2 - 18 + 3)*(-1 + 1 + 2*d + (-3*d + 6*d - d)*(-4 + 4 + 2) + 8*d + 28 - 28).\nAnswer: 476*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yooysaoyaadsyydssoo.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let c(r) = -6*r + 5. Let f(s) = c(s) + 4*n(s). Let w be f(-5). Suppose 4*a + w = -z + 1, -4*z = 2*a - 30. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83570927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324182*k**2 + 45*k - 88*k + 43*k.\nAnswer: -1324182*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.03753 - 300.52933\nAnswer: -300.4918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibbbnibini. Give prob of picking 1 b and 3 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*n - 28. Suppose -n*r + w + 31999996 = 5*w, 3*r - w - 19200001 = 0. Round r to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 38, 91, 176, 299, 466?\n\"Answer: c**3 + 7*c**2 - c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25023 (base 6) in base 9?\nAnswer: -5046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 = -3*z, -5*a = -33*z + 29*z + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*z + 9 = 0, -b + 0*b + 7 = -4*z. Solve 5*n + 18 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 51. Let d(q) = 4*q**2 - 2*q + 4. Let u(o) = 5*o**2 - 2*o + 5. Determine c*u(w) + 6*d(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -r - r + 35, -19 = -r + 3*h. What is the smallest common multiple of r and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003784024 rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2 + (2 - 1 + 1)*(-3 + 0 + 1) - 1 + 0 - 1)*(-42806333 + 12068*f**4 + 42806333) as b*f + o*f**3 + j*f**2 + h*f**4 + u and give h.\nAnswer: -60340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -230, -343, -456, -569?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 83*q + 28. List the prime factors of x(6).\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = q, -39*q - r + 62 = -34*q. Solve -18 = -6*m + q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-2) + (-8 + 8 - -1). Suppose -a + 14 = 3*r, d*a - 2*r - 56 = -0*r. What is the remainder when 795 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**2\/2 - x + 58. Let t be i(-2). Which is greater: -1\/85 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -5*p. Find the third derivative of -v**2 + 2*v**p + v**5 + 3*v**5 wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 1976, 4509, 8072, 12665, 18288, 24941?\nAnswer: 32624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 29 = 1. Let x(h) = -14*h. Let c = -5 + 2. Calculate the remainder when x(c) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246571293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 950\/6 + 152\/(-114). Do i and 157 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4068, -16123, -36216, -64347, -100516, -144723, -196968?\n\"Answer: -4019*d**2 + 2*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**2 + 9*p - 18. Let b(f) = 9*f**2 + 10*f - 17. Let d(t) = 5*b(t) - 4*z(t). Let r be d(1). Solve 7*o - r = 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 8. Let g(z) = -2343*z**3 + 5*z**2 + 6*z + 2. Let t be g(-1). Suppose 4*n - t - 532 = b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 8*k + 6. Let v be r(3). Is 3027\/6*v\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from {v: 2, c: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - 16) + -19 + 27?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20*i**2 - 30*i - 7. Is 49 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -42*u. Let h(s) = -1974*s. Let c(x) = -189*b(x) + 4*h(x). Let g(y) = -3*y. What is g(c(i))?\nAnswer: -126*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 - 247. Let z = -98.52 + 1.52. Let d = k - z. Which is the nearest to -1\/3? (a) d (b) 4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/55 and (-18668)\/(-8840) - (-4)\/(-2).\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*sqrt(672))\/sqrt(12))\/(sqrt(512) + sqrt(512) + (sqrt(512)*2 + sqrt(512) - sqrt(512))).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.32 + 1.42. Which is the fourth biggest value? (a) 0.5 (b) -0.2 (c) v (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01672 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 7*d + 3. Let t be g(-7). Suppose t*s = -1184 + 3881. Suppose -7*f + 37999 = s. What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/27))**(-4) assuming c is positive.\nAnswer: c**(16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*v**2 + 1 + 2*v - v**2 + 2*v**2 to the form r*v + s + k*v**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/5 + 3*a**2 + 9*a. Differentiate u(t) with respect to t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435932671 to the nearest integer?\nAnswer: 20879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52591844 and 84580?\nAnswer: 262959220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1. Let l = -6 + 14. Suppose -4*c - 20 = -l. Let y(m) = -m + 1. Calculate c*w(p) + 2*y(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 9)*5\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205959 - -1.\nAnswer: 205960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 635419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 45.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + -106 - (0 + -11 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -826 + 1101. Calculate the highest common divisor of n and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*1\/(-2) + (-891)\/(-22). Let y = 76 - w. What is the remainder when y is divided by 105\/14*(-16)\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 divided by -249189.\nAnswer: 161\/83063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*i - 34*i + 35*i)*(-2 + 2*i - 4*i - i) + (2*i - 6*i + i)*(2*i + 1 - 1) in the form o + z*i + g*i**2 and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most as big as -60018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kksk when four letters picked without replacement from {k: 3, s: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i)**(12\/5)\/((i\/i**(-1\/6))\/(i\/(i**2*i))))**(-1\/8) assuming i is positive.\nAnswer: i**(-49\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:54 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -47*i. Let l(a) = -16*a + a + 12*a + 12*a. Give x(l(t)).\nAnswer: -423*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*w**3 - 1014*d*w**2 + d*w - 2344*d + 211*w**3 - 41482*w**2 with respect to d.\nAnswer: w**3 - 1014*w**2 + w - 2344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17764038.\nAnswer: 2, 3, 359, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let u(s) be the first derivative of -s**2\/2 + 2*s - 4. Calculate -6*t(r) + 3*u(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6505588 and 852.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.16 and 112.\nAnswer: 112.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 61*t**2\/3 - 1232*t\/3 + 8228\/3.\nAnswer: -(t - 22)**2*(t - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n + 1 + 3*n**2 + 0*n + 2*n**2 - n**2 as b + s*n + y*n**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 6*q**2 + 4*q - 3. Let w(i) = 3*i**3 + 13*i**2 + 7*i - 6. Let m be (-5 + 4)*1 + 6. Let a(b) = m*v(b) - 2*w(b). Determine a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*n - 6, -1 = -3*h + 5. Let b(k) = -n*k**2 + 4*k - 14*k + k**2 + 11. What is the lowest common multiple of b(-10) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21106*k**6 + 8*k**5 + 3*k**4 - 295103*k**2 - 4*k wrt k?\nAnswer: 2532720*k**3 + 480*k**2 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15442636 and 0.\nAnswer: 15442636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 58*z. Give t(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2335 + -6955\/3. What is the common denominator of v and (-137)\/(-42) + (-3)\/(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let z be r(-14). Let x = z + 31. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 divided by 1862?\nAnswer: 559\/1862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 6*n**2 - 5*n + 7. Let b(r) = -r**2 - 5*r + 9. Let a be b(-7). What is the remainder when 13 is divided by o(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18*u + 13*u - 62 = 0, -c + 54 = -3*u. What is the remainder when 202 is divided by c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 6*u**2 - 5*u. What is the lowest common multiple of ((-2)\/4)\/(1\/(-96)) and z(7)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/2 + 1 + -2. Suppose -2*c = w + 2*c - 1, x*w - 4*c = -10. Let a = 6 + w. Solve -i + 9 = 2*f, -a*i + 19 = 3*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + 4 + -143 + 20?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/9 + -2\/9. Let a = q - -2\/33. Find the common denominator of a and -40\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*n + 880, 12*h - 8*h + 864 = 4*n. Let a = 354 - 353.8. What is the biggest value in h, -0.4, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0 + 16*c + 4*c**2 + 0*c**3 - 1\/8*c**4 - 1\/60*c**5. Let p(f) be the first derivative of x(f). Determine p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 68. Solve 5*t + 2*q - 21 = p, -4*t - q = -19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2429927214?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t*x**4 + t*x**2 + 11*t - 3*x wrt x.\nAnswer: 24*t*x**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68236 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.4 + 0.4. Let s = b + 0.8. Let c = -2 - s. Which is smaller: c or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 9*b**2 + b + 15. Let t be r(9). Solve x + 4*o - t = 0, -5 + 33 = 2*x + 4*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 18*o**2 - 5079*o + 10107. Let x(n) = n**2 + n - 6*n**3 - 2*n**2 + 2*n**2. What is the lowest common multiple of x(-1) and k(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250254991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*x - 7, 1 - 9 = -3*x - 2*g. Let y(u) = u**2 - 5*u + x*u + 2*u - 4. Suppose d - 2*h = 6, 0*h = h + 1. Give y(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2507.8?\nAnswer: 2507.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6874.9 + 6875. Let y = 2 - -2. What is the third biggest value in 5\/24, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10778 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000723 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(7) + -4*sqrt(7) + -5.\nAnswer: -8 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/((-2)\/15*21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16226170 divided by -2\nAnswer: -8113085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6098437 is divided by 14282?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7336 (base 10) in base 12?\nAnswer: -42b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146154.43 take away 67172743?\nAnswer: -67026588.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413321238 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15249, 30368, 45487?\nAnswer: 60606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000593657969 rounded to 6 dps?\nAnswer: 0.000594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 426200829 to the power of 1\/3, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-40))\/(3\/50*-15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 + 153577*q**2\/2 - q\/6 - 153577\/2.\nAnswer: (q - 1)*(q + 1)*(q + 460731)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(75) + 1 + sqrt(75)) - (6*sqrt(75)*-2)**2.\nAnswer: -10795 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 2:14 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.464 - 32010450436.\nAnswer: -32010450438.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2, -5*x + 5 = -4*o - 82. Let f = o - -46. Find the common denominator of -33 and 0 - (-1)\/((-18)\/f).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 3\/5, 1\/2727, -4, -3.\nAnswer: -4, -3, 1\/2727, 3\/5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -376b (base 15) to base 3\nAnswer: -121012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 4:55 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -29376 >= -29377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*g + 6027 = 6105, -j - 72 = -4*g. What is f in 2*f - 2\/3*f**2 + j = 0?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -11062.3832\nAnswer: -1106.23832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (231 - 38*t - 231)*(0 + 0 - 5*t**2) - t + 4*t**3 + 3*t + 2*t**3.\nAnswer: 196*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-310)\/(((-22)\/6800)\/(-11)). Round h to the nearest ten thousand.\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3316273997482 - -0.5.\nAnswer: 3316273997482.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-6 + 11 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 41. Let i be (-78)\/(a + 2)*(-3865)\/(-10). Let p = i + -200857\/20. What is the common denominator of p and -89\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -62, -134, -262, -464?\n\"Answer: -3*y**3 - y**2 - 10*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 175, 70345, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/(5\/30). Let q = -3.38 + 0.38. What is the nearest to -1\/3 in f, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/48)\/(13\/((-195)\/10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.1, -11769, -2, -152?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 213 + -221 + 46\/5.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849840860.\nAnswer: 2, 3, 5, 7, 61, 103, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11461167131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**4 + 60*z**3 - 15*z**2 - 10*z.\nAnswer: -5*z*(z - 1)**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + (-16)\/(-12). Let b be 24\/(-30)*(-5)\/2. Find the second derivative of -x*h**3 + 2*h**2 - h + 2*h**2 - 4*h**b wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 294 = 322 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/24 + (-33)\/(-12). Suppose 4*q = q + 12. What is the second derivative of f + 3*f**2 - 4*f - r*f**2 + 3*f**q wrt f?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-5))\/((-48)\/1380))\/((-16)\/(-64)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 10 = -3*j - m, j = -2*m + 5. Suppose 4*c - 15 = 17. Suppose -2*l + 3*a = -18, -4*a + c = j*l + a. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r + 1. Let u be z(2). Let q(l) = -3*l**3 - l**2 + l + 1. Let p be q(u). Calculate the least common multiple of 2 + 2\/(-2) + p and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510239 to the power of 1\/2, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5 - 0. Suppose -x + j*x + 5*z = 75, 3*z = 9. Solve -5*o - 4*k - 4 = 13, -o + 5*k - x = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from {l: 4, r: 9, k: 4}?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/8))**21\/(k**(-2\/15)\/k)**41)**(-15\/2) assuming k is positive.\nAnswer: k**(-6521\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + 4*-1*sqrt(44)\/sqrt(4))**2)*-5.\nAnswer: -905 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -24 - (-1 + 1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**5\/q*q*q*q**16 assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 213067 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: 58595 (base 11) to base 2\nAnswer: 10100101001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23079116751840 and 0.4.\nAnswer: 23079116751840.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23.4, -2, -4, -0.15, -1\/6?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 364327078 to the power of 1\/3, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9381?\nAnswer: 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1090 + 3237 - c**2 - 1084 - c - 1059. Let x(n) = -2*n**2 - 2*n + 9. Determine 13*p(i) - 6*x(i).\nAnswer: -i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/13*186\/837. Sort 2, -3, x in decreasing order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 52 = 4*p, 4*f - 546*p = -454*p + 1028 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -306566 + 306570. Let r(d) = d**3 - 4*d**2 + 4. Let a be r(4). Solve -t*m - 16 = -3*z, 5*m + 20 = a*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.1 + 79.4. Let s = 69 - w. Let r = 6 - 4. Which is the closest to 2\/5? (a) 4 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 4*z + 4*z)*(4 + 3 - 4 + (5 + 0 - 4)*(1 - 1 + 1) + (-15 - 18 - 6)*(3 + 1 - 6))*(5 + 0 - 4) in the form x + f*z and give f.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a - 35 = -5*b, 0 = -5*b + 2*a + 35. Solve 5*r + 4*g = -b - 6, -2*g = r - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -6, -14, -24, -36, -50, -66?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 528.8453 millilitres?\nAnswer: 0.5288453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/8*4\/(-3). What is the units digit of 2 + (-2)\/4*c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 49. Let i be a(20). Let v(b) = -5 - 2*b + 3 - b**2 + 7*b. Let o(q) = -4*q**2 + 20*q - 9. Let u(n) = i*v(n) - 2*o(n). Give u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciicciicwci. Give prob of sequence cw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -57, -88, -119, -150?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177.19 - -171. Let v = 12.57 + r. What is v rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + 6 + 38822\/(-4060) and 50\/203?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 2*k. Let g be n(-2). Suppose -g*a - a - 25 = 0. Suppose 4*q + 5*y + 3 = 0, 2*q - 2*y - 14 = -20. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 8 = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825367?\nAnswer: 17, 47, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.034 - -0.266. What is the nearest to -0.2 in g, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/4 - 595580*q**2 - 2382317*q - 2382316 = 0.\nAnswer: -2382316, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.022 + 128.978. Let q = k - 119. Let d = 3 + 0. What is the fourth biggest value in d, q, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -723 + 712.65. Let t = l - -10.31789. What is t rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -1 + 24)\/(-6 - 630\/(-60))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 - 2*c**2)*(-730933*c - 2810*c**3 + 730933*c).\nAnswer: 5620*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 45*l + 271. Give j(-3).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/25)*v*v)*(v\/((v\/v**4)\/v*v*v))\/v)\/(v\/(v*v\/(v*v**(-5\/6)))*v**11) assuming v is positive.\nAnswer: v**(-1387\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1677 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 2588090*b - 334910492405.\nAnswer: -5*(b - 258809)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -83*b**2 - 160*b - 4. Calculate q(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178.60803 + 178.6. What is i rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12 - 8)*(-102)\/10.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 51, 53, 37, -3, -73, -179, -327?\n\"Answer: -s**3 + 21*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -224*p**3 + 4*p + 209. Let m(w) = 447*w**3 - 9*w - 419. Let v(a) = 4*m(a) + 9*z(a). Find the first derivative of v(b) wrt b.\nAnswer: -684*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154050.3403 rounded to the nearest one hundred?\nAnswer: -154100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(540) + (sqrt(540) - -2*sqrt(540))*4)*3)\/(-2*(sqrt(320) + (5*((sqrt(320) - sqrt(320)*3) + sqrt(320)) - sqrt(320)))))**2.\nAnswer: 41067\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67259462*v**4 - v - 37536045?\nAnswer: 807113544*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2846360 or 2846370?\nAnswer: 2846370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -74. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1300 + -1300.1. Let v = 0 - 0.2. What is the nearest to u in -3, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/25)*n*n\/((n\/((n**(-17)\/n)\/n))\/n)*n*(n*n*(n*n\/(n**(-4\/7)*n)*n*n)\/n)**(-1))**(-14) assuming n is positive.\nAnswer: n**(7214\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 4:50 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*-2*(-7)\/(-14).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19808 - -19807. Sort -3, -7, 42, n, 5 in ascending order.\nAnswer: -7, -3, n, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*y**2 - 12558*y + 316*y**2 + 12557*y.\nAnswer: 419*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/4 + 3*f**3 - 5*f**2\/2 - 4*f + 5. List the prime factors of r(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -141, -102, -63?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**2 + y. Let k(o) = -16*o**2 - 2*o. Let s(g) = 4*k(g) + 9*x(g). Let r(l) = -2*l**2 - l - 2. Let c be (-3)\/(-1) + -4 - 0. Calculate c*s(n) - r(n).\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -h, 3*h - 5*t + 13 = 34. Let r = 24 + 73. Let a be r\/4 - 1\/4. Calculate the greatest common divisor of a and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 22*l**2 + 93*l + 1535. Determine k(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02131893862 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 15*f - 25. What is z(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*s - 44 - 109*s - 281*s**2 - 49 - 21 + 55*s wrt s.\nAnswer: -562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/375648 and -109\/73788.\nAnswer: 4132128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163942390 a multiple of 5800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 565 divide 20266550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -11*h**7\/7 + 46*h**6\/3 - h**4\/2 + 188*h**3\/3 - 15*h**2\/2 + 561. Find the third derivative of r(y) wrt y.\nAnswer: -1320*y**3 + 5520*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9278, -18564, -27870, -37190, -46518?\n\"Answer: i**3 - 16*i**2 - 9245*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 275.6 and -4.\nAnswer: -1102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ngnnggngnggnggnnng.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/21)\/x*x*x)\/(x*x*x\/(x**(3\/7)*x)*x))**(-6) assuming x is positive.\nAnswer: x**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -88561901 to the nearest 10000.\nAnswer: -88560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(968) - 6*(sqrt(968) + 2) - (sqrt(968) + sqrt(968) + 0 + -3)) + 0)*1)**2.\nAnswer: 4312*sqrt(2) + 47628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17148 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 5175*d**2 + 155620*d.\nAnswer: 5*d*(d + 31)*(d + 1004)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1258*u - 125791. What is h(-100)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Let v = 377.93 - 380. Let t = -0.07 - v. What is the second smallest value in t, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4976.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 13265.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1965*j + 1803*j + 1782 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h**3 - h**2 - 2*h - 5. Let j(t) = -16*t**3 + t**2 + 2*t + 6. Determine -3*j(r) - 4*p(r).\nAnswer: -12*r**3 + r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*u**2*y**5 + 2*u**2*y**2 - 5*u**2*y + 18*u*y wrt y.\nAnswer: 220*u**2*y**3 + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57.18 or -24?\nAnswer: 57.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-5) - 3)*1\/(-3). Let k be 4\/40*2*3. What is the nearest to n in k, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 143. Suppose 5*x + 2*z = -10, -x + s*z = -0*x - 10. Solve x*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -69. Suppose -13*i + 118 = 4*d - 10*i, -5*d + 146 = 3*i. Calculate the remainder when g is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 23*m**2 + 2. Let b(p) = p - 1. Calculate 2*b(h) + w(h).\nAnswer: 23*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 + 557*u + 4047. Calculate o(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 17289947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 9:19 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -5.11. Let c be 2 + (-2)\/(-9) + -2. What is the second biggest value in y, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}