diff --git "a/data/dm_maths/full_data_1/1740_11255.jsonl" "b/data/dm_maths/full_data_1/1740_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1740_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -116*q**2\/5 - 182*q\/15 - 22\/15.\nAnswer: -2*(3*q + 1)*(58*q + 11)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {y: 1, n: 2, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l**3 - 3*l**2 + 3*l - 3. Let w(n) = -13*n**3 + 2*n**2 - 2*n + 2. What is 2*d(t) + 3*w(t)?\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**1\/c))\/c)**(-6\/13)*(c**(-2))**9)\/((c**(-2))**(-21)\/(c**(-8)*c**(-3))) assuming c is positive.\nAnswer: c**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 3 (c) 20 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:25 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(16330\/582981)\/(18\/14).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 10 + 14 = -2*h, h = 3*u - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 50. Let l = 0 - i. Factor 2\/7*g**l + 2\/7*g - 4\/7.\nAnswer: 2*(g - 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from osisrbmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-2)\/(-2)*1*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 329 (base 11) to base 5\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 + -10 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -20, 433*y + 2*p + 13 = 434*y. Suppose -12*k - 4 = -16*k. Put y, -5, k in increasing order.\nAnswer: -5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/40, -3, -1\/2 in increasing order.\nAnswer: -3, -1\/2, -0.1, 3\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2. Let b(h) = -24*h + 11*h + 16*h. Give b(r(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17983.158 - 18007. What is f rounded to 1 dp?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:03 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -22, 19, 104, 227, 382, 563?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*h + 228*h = 103*h + 58*h + 18326 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -20. Let k(h) = -20*h - 2. What is the remainder when k(-2) is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**3\/3 + y**2\/2 - 3*y - 1. Let u = 8 - 11. What is the units digit of x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*c + 3*c**3 + 10*c**2 - 15*c - 4 - 52*c + 38*c.\nAnswer: 3*c**3 + 10*c**2 - 74*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*p*p\/(p\/((p**(2\/3)*p)\/p)*p) assuming p is positive.\nAnswer: p**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2 (c) -9 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:47 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:52 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 5*t - 5. Suppose -3*n + 10 = 1. Suppose -2*i = n*i + 25. Determine p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22838*q + 23137*q = 40963 for q.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:02 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Suppose 151 = 4*d - k, c*d + 4*k = d + 176. Let r = d + -21. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 1, d: 1, k: 2, j: 1, n: 1}. What is prob of picking 1 n, 1 v, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11839, -11873, -11907, -11941, -11975, -12009?\n\"Answer: -34*b - 11805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 25 = -0*t + 5*t, -2*f - t = -34. Suppose 7*y = 5*r + 2*y, 4*y = -r + f. Let o = r + -1. Solve -o*h + 6 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1120*r**2 - 66*r**4 - 1120*r**2 + (5*r**2 - r**3 - 5*r**2)*(-2 - 2*r + 2) + 2*r**4 - r**4 + r**4.\nAnswer: -62*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-4) - (-10)\/(-20). What is the least common multiple of ((-5)\/(-5))\/(((-2)\/a)\/(-1)) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - w + 149. Let g be q(0). Suppose -3*l - 5*u - g + 494 = 0, 0 = -4*l + 4*u + 428. Let i be (-20)\/l + 57\/11. Solve 2*y + i = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 2 - 1 - 11*i.\nAnswer: -11*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (144\/(-28) + 5)*-2. Factor -8\/7*t**4 + 12\/7*t**3 + 2\/7*t**5 + 0 + s*t - 8\/7*t**2.\nAnswer: 2*t*(t - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/14*2\/(-5). Suppose r + 1 = 3. Which is the closest to -0.1? (a) r (b) s (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m**0\/m)\/m*m*(((((m**(-11)\/m)\/m)\/m)\/m)\/m)\/m)\/(m**(2\/7)\/m**11))**(2\/27) assuming m is positive.\nAnswer: m**(-74\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, n: 11, y: 1, w: 1}. What is prob of picking 1 n and 1 y?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 7:38 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-23)\/(-8280)*(-20)\/(-12).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(176)*1)**2 + ((sqrt(11) - sqrt(99)) + 1 - (1 + sqrt(44)))**2)*6*6.\nAnswer: 31679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 38*w + 228. Give n(-44).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58610306 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + -1110100111011?\nAnswer: -1110100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3184138.\nAnswer: 2, 1592069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -101, -315, -729, -1409, -2421?\nAnswer: -3831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -249*o + 21*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -10*f - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*m - 25 = -7, -2 = -m. Suppose -2*q - 15*q**2 + 2*q**3 + 4*q**3 - 4*q + 0*q + 15*q**h = 0. Calculate q.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 4 + 5*f - 3*f - 3*f as y*f + o and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*8.027.\nAnswer: 2.4081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(-5*sqrt(104)*4 - sqrt(104)))\/(-3*sqrt(8)*-2 + ((sqrt(8) + sqrt(200))*-5 - sqrt(8)))*6.\nAnswer: -756*sqrt(13)\/25 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9030556.\nAnswer: 2, 2257639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*2 + (0 - -5). Suppose m - 41 = 2*y - y, f*m - 115 = -y. Calculate the highest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 94*d. Let l(f) = -12*f**2. Calculate t(l(w)).\nAnswer: -1128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-3) - ((-73 - -43) + 45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6\/4)*(-3392)\/(-106) + 12\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 2*w**4 + 6*w - 10*w + 3*w - 8*w**3 - 2 + 3*w in the form o*w**3 + p*w + z*w**4 + n*w**2 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y - 2*y + 10*y + 5*y + 54*y**2 + 6*y to the form j + g*y**2 + o*y and give g.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-18)\/(-24))\/((-1)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 651.1222 - 0.1222. Let u = j - 650.9. Does u = -3\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 223*y**2 - 2*y + 1. Let b be (-1)\/(175\/(-45) + 4). Let i = 8 + b. List the prime factors of h(i).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63758891 is divided by 6286.\nAnswer: 6279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23714490 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-208)\/(-4056) + (-3137349)\/(-117)?\nAnswer: 5, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -662\/11 + 60. Let u be (-78)\/(-15) + (-2)\/10. Suppose 4*h = u*c - 37, -2*h - 3*h + 3*c - 30 = 0. What is the third biggest value in i, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 389416*u**2 + 9449701156*u - 1368843840576.\nAnswer: 4*(u - 144)*(u + 48749)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4377.\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 3*g**2 - 3*g**2)*((3 - 1 - 5)*(g - g + 2*g**2) - g**2 - g**2 + 4*g**2 + 3*g + g**2 - 3*g - 396*g - 24*g**2 + 396*g).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.528 times -1858\nAnswer: -981.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/1*(-11)\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 8*c**2 - 7*c + 3. Let f be j(-7). Is (-4 + 31)\/f - 4 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 33*u + 337. Suppose -3*n - 2*t - 95 = -8*n, 38 = 2*n + 4*t. Suppose -5*r + 184 = n. What is the remainder when r is divided by i(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 893336 by 223334.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 7*l**2 + 6*l + 61. Determine o(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m. Let g be (-4)\/16 - (-34)\/8. Suppose x = -2*n + 33 + 46, m = g*x + 2*n - 316. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6. Let u = -1 - k. Let j be -14 - -9 - (2 - -16)\/(-3). Put 4, u, -2, j in descending order.\nAnswer: 4, j, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42539649458.73 + 2.\nAnswer: 42539649460.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2111?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y, m = -m + 2*y + 14. Calculate the highest common factor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.008 - -0.054. Let o = y - 4.246. Let b = o + 4.19983. Round b to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -2. What is the least common multiple of u and ((-3)\/1)\/(12\/(-16))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/12*(20\/3)\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1084236 and 33.\nAnswer: 11926596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-6) - (-4 - 302\/(-60)). Which is the nearest to -0.2? (a) -2\/7 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 4 - 1872*a**3 - 57*a**2 + 1878*a**3 + 4.\nAnswer: 6*a**3 - 57*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13072\/9 + 1454. What is the smallest value in -0.3, -4\/9, w, 1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.6 - -21. Let b = 6.5 - y. Let i = b + -3.1. Put -0.09, 0.3, 5, i in ascending order.\nAnswer: -0.09, i, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2. Let x(l) = 121*l**2 + 39. What is -5*g(r) + x(r)?\nAnswer: 141*r**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5+10412383719882\nAnswer: 10412383719887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12324 and 30810.\nAnswer: 61620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/193086 and 55\/136.\nAnswer: 772344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1932 and -99?\nAnswer: 19.1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = -2*q, -q + 0*q - j + 9 = 0. What is the least common multiple of q and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -966.44 + 965. Which is the smallest value? (a) 2 (b) 2\/17 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1911 is divided by 1664?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*p - 5*p + 5, -4*w + 8 = 0. Let t(y) = y - 1. Let o be t(p). Suppose -7*u = r - o*u - 57, -5*r + 193 = 2*u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-1)\/(2 - 0). Suppose p = -p. What is the second derivative of -b**g - b + 0*b**2 + p*b**2 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25115657 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*p + 0 + 8*p + 0 in the form y + m*p and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 9) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 5*g - 2. Let q = 49 - 45. Determine c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.4, -1\/9, 5 in decreasing order.\nAnswer: 5, -1\/9, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/9 - 14*a**2\/9 - 8*a\/9 + 8\/3 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 3*n, 3*n - 87 = 5*u. Let p be 4*u*(-3)\/36. Let d(s) = 41*s + 16. Is d(p) 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 140 and 3332?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 4*v - 1. Determine s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 11*u - 725. Let z(h) = h**2 - 6*h - 362. Calculate 6*o(s) - 11*z(s).\nAnswer: s**2 - 368","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 716 + -674. Calculate the remainder when 418 is divided by r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -2)*1*-33. Let w(a) = 11*a. Let m be w(-6). Let v be ((-2)\/6)\/(2\/m). What is the highest common factor of v and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150503 is divided by 1463?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -24179\/7 bigger than -3455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (0 - (-6 + 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 6*b**2 - 4*b - 7. Determine m(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 6162909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1ba1702 (base 13) to base 15\nAnswer: c1adee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w + 109. Let l be x(-5). Suppose -15*h - l*h = -6*h. Is h equal to 1\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 58*j**2 + 59*j - 24. Determine k(59).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 102. Let l = t + -49. Calculate the highest common divisor of l and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/8)\/(1\/4). Let o = 11 + n. Let i be 220\/14 - (-14)\/49. Solve 6*z - 2*z - f = i, -o*f = 2*z + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 421423365?\nAnswer: -421423364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - -2)*(135\/18 + -2). What is the remainder when 22 is divided by (q\/55)\/((-39)\/(-45) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6217 * 1.\nAnswer: -6217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1268 - -1385.2. Let q = x - 138. What is q rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 13. Let i be c(9). Let p be ((-22)\/i - -1)*2. List the prime factors of 468\/14 - p\/(-21).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505107034 to the power of 1\/4, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 22, 34, 48, 64, 82?\n\"Answer: v**2 + 7*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ae - -2?\nAnswer: -5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/3822 and -49\/221?\nAnswer: 64974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (88\/(-55))\/((-8)\/20). Let d be (-2)\/10*(-30)\/96*w. Put d, -2, 2, -4 in increasing order.\nAnswer: -4, -2, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5\/4 + 7*p**2 + 39\/8*p + 3\/4*p**4 - 1\/8*p**5 + 17\/4*p**3 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuyiiuuiuuuu. Give prob of sequence iuu.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67614648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/40 and (281\/(-88) + 4 + -1)*-6.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1300\/(-52) - -27)\/((-4)\/(-34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7163*n**2 - 459*n + 14662138 wrt n?\nAnswer: 14326*n - 459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110.8 - -23.2. Let l = u - 136. Suppose -5*s + 3*s = -8. What is the closest to 0.1 in l, s, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3793, -3812, -3849, -3910, -4001, -4128, -4297?\n\"Answer: -t**3 - 3*t**2 - 3*t - 3786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.751 - 0.149. Round q to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3198 and 7363395.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y - 7 - 33 - 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 11, a: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - c + 1. Let v(r) = 5*r**2 + 3*r - 8. Let o(w) = 4*i(w) + v(w). Let h be (-7)\/35 + 28\/(-10). Let a be o(h). Solve -k - a = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -351?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 8*o**2 - 5. Let g be d(-7). Let a = 50 + g. Put -3, 10, a in decreasing order.\nAnswer: 10, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = u + 10. Suppose u*i - 64904706 = 86995294. Round i to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3696704 and 1416?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 45*s**5 - 383140*s**4 + 816343245*s**3 - 3441826990*s**2 + 3983445900*s - 724201000 = 0.\nAnswer: 2\/9, 2, 4255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2 and (119469\/(-16938))\/(-7) + 38\/(-38).\nAnswer: 5646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120\/7*f**3 - 160\/7*f**2 - 40\/7*f**4 - 4\/7*f**5 - 100\/7*f - 24\/7.\nAnswer: -4*(f + 1)**4*(f + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8326.89339 to the nearest one hundred.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210*f + 1 - 1 + 270*f + 197*f to k + x*f and give x.\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 4*l**2 + l - 8. Let z be d(-5). Let j = -34 - z. Calculate the greatest common factor of 36 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42470773597 - 0.2?\nAnswer: 42470773596.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (2 + (-591)\/37)) + -291 + 280\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54140156561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 60. Calculate t(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riixirixix. Give prob of picking 2 i and 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1296 + 1293.7. Which is bigger: i or 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -7. Suppose -6*a = -2*a - 80. Suppose -r*m + a = m. Calculate the lowest common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(2) - (sqrt(288)*-3)**2).\nAnswer: -36*sqrt(2) + 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 223?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + sqrt(405) + -1)*-2 + sqrt(405) + 5*(sqrt(405) + -1 + sqrt(405)) - 1*(sqrt(405) + 3 + sqrt(405) + 1)) + 1)**2*6.\nAnswer: -3240*sqrt(5) + 60966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/21, -10, -0.3, -52, 5 in decreasing order.\nAnswer: 5, 16\/21, -0.3, -10, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*k = 177 - 159, 4*k + 16 = 4*g. Which is the nearest to -1? (a) g (b) -3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 24*y**2 - 30*y + 123. What is q(-23)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1265 = 660*j - 213 + 158 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 4:59 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 + 39*k**3 - 11*k**3 - 3*k + 28*k**3 - 5*k**2 as p*k**2 + v*k + a + f*k**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 207 = 481. Let i = -77 + n. What is the remainder when i is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 336, 3, 17, -141 in increasing order.\nAnswer: -141, 3, 17, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77717?\nAnswer: 23, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 24 + -19 + -1 + 2 + -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13427 + -8924. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1361 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Let u(b) = -5*b. Let x(m) = -10*m. Let r(l) = 9*u(l) - 4*x(l). Determine o(r(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 120 = 122. Solve -2*w + 2*p - 10 = -6*w, 4*w - g*p = -10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -925306840907 less than -0.84?\nAnswer: 925306840906.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/7 - (-1452)\/1232 - 1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*k**3 - 6951*k**5 + 1777*k**5 + 55*k**3 + (2*k**2 + 2*k**2 - 6*k**2)*(0*k**3 + k**3 - 3*k**3).\nAnswer: -5170*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/1167 + 135\/1556. Which is the nearest to p? (a) 0.1 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28288, -29806, -32334, -35872, -40420?\nAnswer: -45978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -133\/3. Sort r, 0.3, 3.\nAnswer: r, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = 5*i - 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 + 301*r**2 - 8 - 28 in the form c + i*r**2 + u*r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76a (base 14) in base 7?\nAnswer: 4163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**2 + 8*g + 80. Let h(u) = 38*u**2 + 26*u + 239. Calculate -2*h(q) + 7*j(q).\nAnswer: q**2 + 4*q + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/6)\/(1\/2) - -5. Suppose -2*k + 5*a + 25 = -x*k, -3 = a. Suppose 0 = -2*s - s + 18. Solve -4*b - s*w = -w + k, 0 = -3*b - w + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -12*l**2 + 1\/30*l**5 + 0*l - 1\/6*l**3 + 1\/6*l**4 - 13\/120*l**6 + 0. List the prime factors of h(-2).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23204 + -23000. Calculate the lowest common multiple of o and 2499.\nAnswer: 9996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 283\/288 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.48, 0.3, -5, 1789, 4, 3.\nAnswer: -5, 0.3, 0.48, 1\/2, 3, 4, 1789","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5427172051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3 + 4 - 5 - 3 + 2 - l. Let g(k) = -5*k**3 - 6*k + 5. Calculate g(n) - 6*v(n).\nAnswer: -5*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((792\/27)\/22)\/((-4)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1581 - 1580. Let z be 7\/c + (35 - 32) - 6. Factor 0 + 0*b + 0*b**2 + 0*b**z + 2\/13*b**3 - 2\/13*b**5.\nAnswer: -2*b**3*(b - 1)*(b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 2. Let d = 0 - -11. Suppose 4*u + 3*h - 27 = 0, 4*u - h + 4 = d. Let z be ((-12)\/10)\/(1401\/4670). Let i(m) = m - 1. Give u*n(p) + z*i(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83, 162, 231, 284, 315?\n\"Answer: -w**3 + w**2 + 83*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7872 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2296)\/(-84) - 26)\/((-8)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - j. Let c be d(2). Suppose c*u - 4*u = 0. Suppose u = -3*f + 7*f - 80. What is the least common multiple of f and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (0 - 4 - 2). Let p(y) = y - 4. Let v be p(10). Sort r, v, -2 in increasing order.\nAnswer: -2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100095 by -33365.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.035*-32091\nAnswer: -1123.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-3*1 - sqrt(171))\/sqrt(9).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 + 3*t**2 - t - 1. Let l be i(2). Suppose -3*b - l = -8*b. Let w be 6 - 40\/(10 - 2). Solve -v - 1 = -5*q + w, -q + 16 = b*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**2*c**2)\/((c*c*c**(-1\/5)*c)\/(c**1\/c)) assuming c is positive.\nAnswer: c**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 848, 841, 836, 833, 832, 833?\n\"Answer: r**2 - 10*r + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.2. Let c = 7.01 - 7. Let w = c - -0.99. What is the nearest to w in n, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 4*x. Let n be q(-3). Let w be 10\/(-9) + n\/3. Let r = 0.7 + -0.4. Which is the third biggest value? (a) r (b) w (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13415.205 months in decades?\nAnswer: 111.793375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7348 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1753104 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 477.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2022.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23\/(-7) + (-46)\/(-161). Let o be 13\/(-39)*1327\/t. Let s = o - 149. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**4 + 5*s**4 - 6 + 3*s**2 - s**2 + 274*s**5 - 41 wrt s?\nAnswer: 16440*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1336779 - 22218. Let r = n + -1314560.3200532. Let u = r - 0.68. What is u rounded to 6 dps?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2682 divided by -18.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*a**3 - 113*a**3 + 1 - 3.\nAnswer: -30*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -274, -548, -820, -1090, -1358, -1624?\n\"Answer: i**2 - 277*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -347854 + 7?\nAnswer: -347849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44328 rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1219811\/2933 + 165\/419. Let n = z + -416. Is 71 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Let v = 2.0897 + -0.0897. What is the closest to q in v, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 23*x - 36. What is the units digit of m(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 5. Give b(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:41 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 169*a**2 + 17066*a - 304. Determine r(-101).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 68*i**3 - 3*i + 71*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365469, -365470, -365467, -365460, -365449, -365434, -365415?\nAnswer: -365392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.06 - -0.06. Let b = 6 + z. Sort b, 1, -1\/3 in descending order.\nAnswer: 1, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5645*r + 421 + 11292*r - 5646*r to a*r + t and give t.\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 4. Let k be z(-11). Let h = -3854 - -3882. Calculate the greatest common factor of k and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 7*p. Let w be f(7). Suppose w = 4*h, -h - h = 2*y - 62. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgcshhsf. What is prob of sequence hsfh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 12:43 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 + 221 + (-1 - 16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005681 rounded to 6 decimal places?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -202299197, -404598394, -606897605, -809196836, -1011496093?\n\"Answer: -r**3 - r**2 - 202299187*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.00522 + -0.005225196. Round a to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4587 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 9, c: 2, z: 1, k: 4}. Give prob of sequence rk.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from booocoocoobccococc.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:23 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(-3\/7)\/(o**2)**0 assuming o is positive.\nAnswer: o**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:16 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1)\/(1\/6). Let a = j + -6. Suppose a = -3*c + 11 - 2. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.731 and -0.09499042431.\nAnswer: 10.63600957569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44195*w**3 + 8*w**2 - 8*w**2 - 123264*w**3.\nAnswer: -167459*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815063 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.2929 millennia in years?\nAnswer: 252292.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144506270 divided by -28901254?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 0, -15, 69, 6 in descending order.\nAnswer: 120, 69, 6, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 - 137*b - 564 = 0. Calculate b.\nAnswer: -4, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from icbbbbbbbbibbsbosb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 - -1025.\nAnswer: 1025.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:59 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z - 36*z = -110 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emvi when four letters picked without replacement from {n: 2, e: 1, v: 1, u: 2, m: 2, i: 12}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-2\/5)*h))**(6\/23)\/(h**(-1))**(1\/8)*(((h*h**(7\/4))\/h)\/(h\/(((h*h**(-2\/25))\/h)\/h)))**(1\/32) assuming h is positive.\nAnswer: h**(-3079\/73600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/8, 1.37, -1\/2, -2\/949, -0.1.\nAnswer: -1\/2, -0.1, -2\/949, 9\/8, 1.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 18, i: 1}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89300 and 3572?\nAnswer: 89300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1721*-1.\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -41*s**3 - 443*s**2 + 23*s - 17. Determine a(-10).\nAnswer: -3547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 - -3?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(21 - (7 - 0)). Which is smaller: 9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 3 - (11 - 15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 5585?\nAnswer: 22340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 5. Let k = 0.2593 - 0.4593. Which is the closest to k? (a) q (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let z be (-128)\/112*(-14)\/(-8)*-2. Let i = p + z. Solve -25 = -5*v, v - 23 = -i*l + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000385 to 6 dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -138, -332, -638, -1080, -1682?\n\"Answer: -4*y**3 - 20*y**2 - 18*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4, 0.1, 2, 59.6, -21 in decreasing order.\nAnswer: 59.6, 2, 0.1, -0.3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102121012 + -11?\nAnswer: -102121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-7 - (-15 - 10 - -19) - (-103 - 4)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 6. Let t(m) = -2*m - 7. Let l = -357 - -350. Suppose 3*a = -0*a - 18. Calculate a*t(p) + l*h(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 5336861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsdq when four letters picked without replacement from {d: 1, q: 2, z: 6, s: 3, f: 3, l: 5}.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -18, -34, -68, -126, -214?\n\"Answer: -j**3 + 3*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 34?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 0 + sqrt(300)*-1)*4)**2.\nAnswer: -1600*sqrt(3) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10.0924704ns?\nAnswer: 0.000000000000116811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-16) - (-3084)\/24. Solve p = -19*o - 23*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -883*f = -876*f. Solve 2*d = -3*k + 7*k - 14, -4*d + k = f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 17?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i - 20 = -26*i. Find the third derivative of 90*b**5 + 22*b**5 + 10251*b**2 - 10322*b**2 - 18*b**i wrt b.\nAnswer: 5640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116216*o**4 + 2*o**3 + o**2 - 272384*o.\nAnswer: -1394592*o**2 + 12*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -562.67 + 2\nAnswer: -560.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-23)\/(-46))\/(2\/6356). Let y = 2872 - k. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/880 and -127\/520?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/g)**(-1\/10)\/(g**(-9))**(22\/7) assuming g is positive.\nAnswer: g**(5169\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*w - 130*w = -112*w - 9782 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a - 16, 5*u - 2*a = 1468. Does 28 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((0 - -16) + -7 + -17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 278*t - 46. Let n(i) = 56*i - 9. Let m(y) = 14*n(y) - 3*s(y). What is the units digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83528113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - ((-6)\/(-3) - 117). Let z = w + -81. Suppose -z = -4*f + 4*t, 4*f + t - 24 = -7. What is the greatest common divisor of 40 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = -j - 528, 0 = -d - 3*j + 524. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*z + 77, -4*z - 6*s = -3*s - 55. Let k = z - 16. Suppose 4*l - 7*l + 66 = k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/280*-6)\/(1*(-7)\/35).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 433012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u + 13. Let z(c) = -3*c + 6. Let d(t) = 13*t - 27. Let b(g) = d(g) + 5*z(g). Let w = -1 - 1. Give w*s(v) + 9*b(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30825 and 450.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*w + 11 - 35, 5*w - 8052*a + 8050*a + 19 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 7 + (-12 - -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1219*-0.004\nAnswer: -4.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f - 3*f + 24*f + 5*f**2 - 40 + 19*f = 0. What is f?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 700 and 21770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7414111 millilitres to litres.\nAnswer: 0.0007414111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8703*y**4 + 4866*y**3 + 371*y - 213448.\nAnswer: 104436*y**2 + 29196*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603023.\nAnswer: 3, 534341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/18)\/1 + 29\/3. Suppose 4*q - v - 4628 = 3*v, -5*v + d = 0. Suppose 2*m + 239 = g, 5*g - 2*m + m = q. Calculate the highest common factor of 33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 p when three letters picked without replacement from {c: 2, j: 1, b: 2, f: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Suppose 0*u + 2*y - 170 = -2*u, 4*u = n*y + 356. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b7436a (base 15) to base 11\nAnswer: 4a17887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:39 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8549123*l**3 - 8942582*l.\nAnswer: 51294738*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 7161. Let p(m) = -m + 7168. Determine -3*j(t) - 4*p(t).\nAnswer: -2*t - 7189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2423110873521 plus -29?\nAnswer: -2423110873550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.9495ml in litres?\nAnswer: 0.0649495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2595172 and 22058962.\nAnswer: 44117924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g\/(g**(-8)\/g))\/g*g)*g**(-9) assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1 in descending order.\nAnswer: 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from zzjjjjrrjyryj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 1\/60*y**5 - 7\/6*y**3 + 3\/8*y**4 - 5*y**2 + 0*y + 0. Let k be d(-10). Solve -2*z - 1 + 6 = -k*g, 2*z + g = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 10*x - 5. Let l be r(5). Let c be 1225\/l - (-3)\/4. Let n = -42 + c. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1656953648.44 and -56.\nAnswer: 1656953592.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = -j + 144. Suppose -4*w - j*w + 8880 = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112609217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-8) - 15)\/(6*39\/(-12))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352 - 237. Let s = h - 8. Let z = -106.9919 + s. What is z rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 454 + -2258\/5. Which is the smallest value? (a) -0.1 (b) 3 (c) 1\/6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*d - 266 = 62, d - 488 = -3*s. Calculate the lowest common multiple of s and 81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -236 - 30662?\nAnswer: -30898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5\/3 - 8*h**4 - 47*h**3 + 70*h**2\/3 + 128*h - 96 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 157535 = -3*b, 13*b = -4*m + 17*b + 126060. What are the prime factors of m?\nAnswer: 2, 5, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649775 divided by 649775.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.096780448\nAnswer: -0.0096780448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112*k**3 + 502*k**3 - 903*k**3.\nAnswer: -1513*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 25*g**2 + 58*g + 8. What is a(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 29 = 71 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**7\/14 - u**3\/3 + 10*u**2 - 21*u. Let l(y) be the first derivative of a(y). Differentiate l(i) wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/134 (b) -2\/13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4269\/2 + 2090. Find the common denominator of 71\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13.3. Which is the biggest value? (a) 2\/9 (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -m + 10, 0 = -5*m - 9*i + 5*i + 50. Suppose 2*u = m*u - 1880. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/(-42)*(-14)\/(-12). Let n = -11 - -21. Let d = n - 9. What is the nearest to d in 2, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:50 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p. Let q = 8 + -6. Let a = q - 1. Is a at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + d**2 + 2*d - 2. Let v be u(1). Let p be -16*(v + 76\/(-16)). Suppose 3*h - k - 2 - 8 = 0, -5*h + 4*k + p = 0. Solve n - h*n = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 77720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4255 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10782913 is divided by 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 113920.\nAnswer: 113920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/117 in -3\/2, 0, -1912, -1\/3, 2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 2*c**2 - 2*c - 7. Give a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10575 and 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1704 (base 9) to base 7\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -q + 3*m, -5*q + 0*m - 1 = -m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81927035207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 81 = 5*p + 93, 3*l = 5*p + 128. Let x be l\/4*(-7 + 9). Factor 0 - x*q**3 + 0 + 27*q**3 - 12*q**2.\nAnswer: 4*q**2*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32331613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4121, 16492, 37111, 65978, 103093, 148456?\n\"Answer: 4124*y**2 - y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - f**2 + 4*f + 3. Let d be j(-2). Let s = -48 - -33. Let u = d - s. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0212431 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 53 - 21*h - 9*h + 8.\nAnswer: -5*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 74*b**3 + b**2 + 45*b - 486. What are the prime factors of j(8)?\nAnswer: 2, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -419 + 419.03. What is the nearest to 0.2 in f, 5, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*h - 39, -4*t - 42 = -3*h - t. Suppose 52 = 4*p - 3*j - j, 4*p - 88 = -5*j. What is the highest common divisor of p and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**3 - 3*s**2 + 22*s + 5. Let l be m(8). Which is smaller: -4108 or l?\nAnswer: -4108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x - 6*x - 5*x - 4*x + 3021*x**2.\nAnswer: 3021*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2295 and 1123659.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (31\/(-10) + 1)*1205\/(-1446). Which is smaller: -5\/12 or k?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1991, 3230, 6609, 13202, 24083, 40326, 63005?\nAnswer: 93194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/56)\/((8\/(-28))\/(-2))*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22927 (base 11) to base 3.\nAnswer: -1200100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*f + 3*f + 8, -2 = 2*f. Solve 0*u - x = h*u + 3, 4*u + 8 = 2*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68030882 is divided by 289?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**3\/5 + 537*c**2\/5 - 816*c\/5 + 273\/5.\nAnswer: 3*(c - 1)*(c + 91)*(2*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 449 + 699 = u, 3*l + 2*u - 1720 = 0. What is l rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6134 divided by 20787?\nAnswer: 6134\/20787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.293*120.\nAnswer: 395.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 701\/180 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -827, -6643, -17451, -33251, -54043, -79827?\nAnswer: -110603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -190, 10, 210?\n\"Answer: 200*b - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Calculate the remainder when 11 is divided by y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + 0.3. Let b = 575\/5013 + -2\/557. What is the nearest to 0.1 in b, -2\/7, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (76 - 73) - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -160694*d - 1446157. Determine w(-9).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2 - 3 + 1 + 3 - o. Let u(v) = -2. Let k(m) = 3*u(m) + 2*w(m). Let t(s) = -3*s. Determine t(k(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-314)\/(-162495)*138*270?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -78 + 69 + -49 + 4\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 6935.2085\nAnswer: 20805.6255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 43 + (-40 - -23) - -33?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + 1 + -56 + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -3123*f**4\/4 + f**3\/3 - 76*f + 3584. Find the third derivative of u(b) wrt b.\nAnswer: -18738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13383*d - 186990 + 24426 = 208110 + 4050 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a + 0*a + 8*a - 10*a - 38*a. Let j(p) be the second derivative of p**4\/12 - p. Give j(g(n)).\nAnswer: 1089*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -34, -9\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -814171 plus -55?\nAnswer: -814226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-309)\/(-6))*4 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z + 2. Let k be p(-2). Suppose -h + 2*h = k. Let t(v) = -6*v + 4. Let o be t(-2). What is the greatest common factor of h and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745750 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 867 - 127450\/147. What is the second smallest value in 2\/15, -3\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (-30 + 14 - -58).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.46 - 0.06. Let m = 24070.7 - 24071. Which is the biggest value? (a) -1 (b) h (c) 30 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*h = 442, 5*h - 20 = -0. Find the common denominator of 275\/(-45) - 1\/(-2) and (w\/88)\/(3\/6).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28547287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/2 + 12171*n**2\/2 - 1046421*n\/2 - 5536755\/2 = 0. What is n?\nAnswer: -5, 93, 3969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49700, 100711, 151722, 202733, 253744?\n\"Answer: 51011*p - 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 64*f - 818. Does 3 divide r(40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 66*i + 923. What is d(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g + 2980 = -220*g - 155*g + 12241 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b + 10. Let g be n(0). Suppose 3*k - v = 355, k - 1 - 139 = -4*v. Suppose -p + 4*p = k. What is the greatest common factor of g and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1.1. Let w = -738\/85 - -976\/85. Is w greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701)*2)\/(sqrt(30)\/(sqrt(10)*4)).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -32*j**3. Find the common denominator of z(-1) and 59\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b*(b*b**0)\/b)\/b*b))**(-31)*b*b\/b**8*b**(5\/4) assuming b is positive.\nAnswer: b**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 8 = -2*p - 5*c, 11 = -2*p + 5*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/(2\/(-255)*(-15)\/36*-15)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1034, 4622, 10748, 19418, 30638, 44414, 60752?\n\"Answer: w**3 + 1263*w**2 - 208*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93282 - -93284. Determine b, given that 2\/7*b**5 + 334\/7*b**3 + 50\/7*b**4 - 48*b + 34*b**p - 288\/7 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8451351 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*f + 9575 = -77717, 2*s + f - 87289 = 0. Let q = s - 18540. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -a8?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913487618?\nAnswer: 2, 43, 353, 95971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254298 by -84766.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85231.734 hours in weeks?\nAnswer: 507.33175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4663 - -9323\/2. Which is the fourth biggest value? (a) p (b) -3\/5 (c) -0.2 (d) 4.1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose -b*c + 5 - 1 = 0. Suppose -32 = -6*j + c*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/295 - -1194\/2065. Suppose -3*t + 8 = -4*a, -2*t + 1 + 10 = 3*a. Suppose a = -2*j + 3*f + 2, -3 = -3*f. What is the smallest value in -3, i, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/4 of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/14)\/(-2)*(46501\/10101)\/73\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 115 + -962?\nAnswer: -84a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*20\/(-40)*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250 and 125?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -55. Let y be 147\/(-2)*4\/(-6). Suppose -2*o - i - 4 = -26, 0 = -5*o - 4*i + y. Solve 2 = -w*z - o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**2 + 4 + 17*n + 13*n**2 - 10*n - 13. Is t(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1312520 to the nearest 1000.\nAnswer: -1313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-1))*(o*o**(-2\/29)*o*o)\/o)**42 assuming o is positive.\nAnswer: o**(1134\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260705118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 203*x**2 + 110*x + 21579. Calculate n(-102).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 894.5845l?\nAnswer: 894584.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1545, 1556, 1581, 1626, 1697, 1800?\n\"Answer: g**3 + g**2 + g + 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14128705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = 15*l - 312. What is the highest common factor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(63)\/sqrt(9))**2)*5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*i = 15234*i - 15152 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -7. Let i be (a\/3)\/(6\/(-27)). Let g = 21 + i. Calculate the highest common divisor of g and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57221330989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 223 - 245. Let t = 0 - 4. Let q = t - i. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.642281 tonnes?\nAnswer: 6642281000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -8*d + 126. Suppose 0 = -4*c - c + 2*w + 75, -3*w + 15 = c. What is the lowest common multiple of d and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.633000799 + 0.633. What is p rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o - 11 + 47 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -87. Solve 5*b + 10 = c, -b - 9 = o*b - c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 31*l**3 + 2*l + 28*l**3 + 4*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 70. Suppose 0 = -4*u - 4*x + 4, 0 = -u + 5*x - x + 26. What is the remainder when s is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -15.1. Let i = 0.3 - u. Let h = i - -0.8075. Round h to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095496 rounded to 4 decimal places?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - (0 - -4)) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3092, 6192, 9298, 12410, 15528, 18652?\n\"Answer: 3*h**2 + 3091*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/33)\/(4\/27387). Let m = -4609 + 3570. Let w = o - m. What is the common denominator of w and 65\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 28*n**2 + 29*n - 18. Give d(-29).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/5 + 4177296*f + 21812252339520 = 0. Calculate f.\nAnswer: -10443240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5\/15 + h**4\/24 - h**2\/2 - 3. Let q(z) be the second derivative of r(z). Find the second derivative of q(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2066623*-3\nAnswer: 6199869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, -0.3, 0.4, -10.9, 1, -1, 0.3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 5*c - 1. Let v be i(-2). Suppose -9 - 16 = -3*j + 2*q, 4*j + v*q = -5. Solve -3*r = -l - 5, 2*r = -3*l + 1 - j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*f**4 + 9*f**4 + 3*f**4 + (-28*f**3 + 2*f**4 + 9*f**3 + 14*f**3)*(0 - 8 + 0).\nAnswer: 17*f**4 + 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d - 4 = 2*z, -5*z = -5*d - 5. Let a(v) = 6*v - 3. Let i(j) = 5*j - 2. Let r be ((-1)\/2)\/((-7)\/(-42)). What is r*a(s) + z*i(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3099760837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 912\/(-171)*((-207)\/156)\/(-23)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from hfviz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + u - 3 - 1 = 0, -y - u = -4. Suppose 5*s + 6 = o, -o - 3 = -y*s + 4*s. Suppose n - o = 0, 0 + 3 = -3*h + 3*n. Are 0 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((276\/5)\/2)\/(2\/10). Calculate the smallest common multiple of 6 and s\/9 - (-2)\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 244 - i + 243. Let h(c) = 11*c + 1. Let u(j) = 3*h(j) + 8*o(j). What is u(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 20)\/((-2)\/11). Let c = 3 + 1. Suppose c*m + m = 45. Calculate the highest common divisor of h and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*p + 47*p**2 - 96*p**2 + 52*p**2)*(-5 + 2 + 2) in the form r + c*p + u*p**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250*c**3*d**3 - 38*c**3 + 3*c**2*d**2 + 2*d**3 wrt d.\nAnswer: -1500*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -431 - -468. Calculate the remainder when n is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -17*s**6\/6 - 35*s**2\/2 + 27. What is the second derivative of c(n) wrt n?\nAnswer: -340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -428643981.001699 - -428640416. Let s = -3565 - n. What is s rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l + 1. Let z(m) = 4*m**2 + 2*m + 11. Let s(u) = -5*d(u) + z(u). What is the tens digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 3*s - 8 - 17, 3*o - 5*s = 27 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let s = -16 + 19.8. Let i = 1.8 - s. Put b, -0.4, i in increasing order.\nAnswer: i, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 76*m - 60732 = -79*m, -b = 2*m - 20239. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (-1 + sqrt(1584)*2)) + sqrt(1584) - (0 + sqrt(1584) + 0 - sqrt(1584)) - (-1 + ((sqrt(1584) + 1)*2 - sqrt(1584))**2 + sqrt(1584))) + 0.\nAnswer: -1586 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 divided by -423?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.4. Let q = -0.16 + 0.16. What is the third biggest value in t, q, 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(243)*-1)**2 + sqrt(243) - (sqrt(243) - (sqrt(243) + (sqrt(243) - (sqrt(243)*-3 + sqrt(243))*2)))**2)*-5.\nAnswer: -180*sqrt(3) + 116660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61648?\nAnswer: 2, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.872 + -0.128. What is the nearest to -2\/3 in 0.1, n, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00090303572 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*j = -r + 2165, -22*r = -16*j + 19*j - 21*r - 59 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 153 = -2*s. What are the prime factors of (-6)\/s + ((-465)\/(-17))\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -46*43\/(-10)*1. Let a = w - 197. Let y = 84.4 + -84. What is the nearest to -2 in a, y, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -41*v**3 - 4*v**2 + 9*v - 8. Give f(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106\/7 - 61\/14. Let z = o + 20. Factor 0*x + z - 1\/2*x**2.\nAnswer: -(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 648653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 33*j + 237. What is i(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 2*o**2 + o + 2. Let h be t(2). Let m = -4 + h. Is (37\/(-4))\/(2\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1845993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i*p**3 - 100267*i*p + 4*i - 13126660*p**3 wrt i.\nAnswer: -3*p**3 - 100267*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) 864 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + 2 + 41 + 88.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 2*i**2 + 39. Let a(q) = 2*q**3 - 2*q**2 - 39. What is 2*a(m) + 3*h(m)?\nAnswer: m**3 + 2*m**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-56) + 38\/7. Let q be w\/21 + ((-1920)\/(-35))\/(-3). What is the smallest value in q, 2\/3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.125 and 173785439?\nAnswer: 173785450.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*g**3*l - 23*d**2*g**2*l + 9*d**2*g**2 - 2*d**2*l - 52*g**5 + 3*g**4*l wrt g.\nAnswer: 12*d**2*l - 3120*g**2 + 72*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/75*-20)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:14 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 4. Let v(h) = h + 3. Determine 3*t(o) - 4*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a - 1 + 1)*(-3*a + 0*a + 4*a) - 25*a**2 - 18 + 18 + (-4 + 4 - 4*a)*(-7 - 3*a + 7))*(-a**2 + a**2 + 2*a**3).\nAnswer: -30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205539434 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 11:27 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 - 106. Let p be -4 + (-2)\/(-1) + 20. Calculate the greatest common factor of p and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**3\/2 + c**2 - c. Let k be r(4). Let u be 399998\/k + (-1)\/5. What is u rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -265743876 - -397743864. Let w be (0 + (-6)\/(-9))*z. Let m be w\/20 + (-2)\/(-5). Round m to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(1\/8))\/x**(-7\/3) assuming x is positive.\nAnswer: x**(107\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4) + -3 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/(sqrt(6) - (sqrt(96) + sqrt(6))) - sqrt(204)\/(sqrt(48)\/sqrt(4))) + 5 + 5*sqrt(272))**2.\nAnswer: 375*sqrt(17)\/2 + 96025\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.1 - -17. Suppose -3*w + w + 4 = 0. Suppose 13 = -3*f + u, -f + 13 = w*u + 2*u. Which is the second biggest value? (a) -0.5 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40412?\nAnswer: 2, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11658, -17274, -26634, -39738, -56586, -77178, -101514?\nAnswer: -129594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4666\/105 - -312\/7. What is the second smallest value in d, 2\/3, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/25 - -2 - 1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 10*b - 4. Let r be s(8). Let x be (-27)\/r - (-3 + 1). Let c = -0.1 - -0.3. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3294721, -3294737, -3294753, -3294769, -3294785, -3294801?\nAnswer: -3294817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184612 + 23*j**2 + 184612.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/8 and -43\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 715*y - 9. Let t(x) = 1075*x - 14. Determine 8*s(c) - 5*t(c).\nAnswer: 345*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/360 and 109\/3250350.\nAnswer: 13001400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 5*s**2 + 7*s - 2. Determine c(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 6\/2299 (b) -4 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/2 of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u - 22*u - 176 = -551 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(3\/10)*a)\/a)\/(a\/(a**(2\/15)\/a)))**5 assuming a is positive.\nAnswer: a**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/7 + 4417029*h**2\/7.\nAnswer: -3*h**2*(h - 1472343)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1855 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67, 130, 193, 256, 319, 382?\n\"Answer: 63*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/1512979 or 1?\nAnswer: 21\/1512979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5539, -11075, -16611, -22147, -27683?\n\"Answer: -5536*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 1\/24*z**4 - 6*z + 31\/60*z**5 + 23\/3*z**3 + 0 + 2*z**2. Differentiate w(q) with respect to q.\nAnswer: 62*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4099, -16520, -37229, -66232, -103535, -149144, -203065?\nAnswer: -265304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22275852?\nAnswer: 2, 3, 571, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/15)\/((-3)\/18). Sort -6, -4, 2, n in decreasing order.\nAnswer: 2, n, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.9754 or 13.279?\nAnswer: 13.279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - (-12000)\/18. Let y = -666 + u. Factor -2\/15 + y*o - 2\/15*o**2.\nAnswer: -2*(o - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-3))\/(c*c\/((c*c*c**(-2)*c*c*c)\/c)*c*c))**(1\/45) assuming c is positive.\nAnswer: c**(2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.302296019 rounded to 5 decimal places?\nAnswer: -0.3023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -1*2\/2. Suppose -14*l = -17*l + 84. Calculate the greatest common factor of l and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80534161.599613 - 80534085. Let p = -76.6 + t. What is p rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 1717 = 19. Calculate the smallest common multiple of g and 2.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -2237 (c) -0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 120\/13, 0, -53, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 577*j**2*u**2 + 3*j**2*u - 76*j**2 + 2*j*u - 11*u**2 + 39*u wrt u.\nAnswer: 1154*j**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.04566?\nAnswer: 0.013698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5327*g*n**3*z**2 + 223*g*n*z - 260*g*z**2 + 1237*g*z - 5*z**2 wrt n.\nAnswer: 15981*g*n**2*z**2 + 223*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1400 + 4193 + 90*l - 1396 - 1397.\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -195 + 3?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-6 - -5) + 7 + -6 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2780082 and 12.\nAnswer: 5560164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 674 + -657. Calculate the least common multiple of u and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -74. Let j = -57.86814 - -24.86877. Let o = j - m. What is o rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -49, -170, -399, -772?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 102*j - 9*j**2 - 102*j. Let h = -1 - -3. Let d(u) = 0*u - 3*u**h + 3*u - 3*u. What is d(r(t))?\nAnswer: -243*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -255300 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 8*n**2 + 5*n + 13. Let x be g(6). Suppose -4*r - x = -5*b, -4*r + 10 - 2 = 0. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a + 40*a - 24*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 6*i - 3. Let n be h(7). Suppose 4*z - 19 + 7 = 0, z = -n*j + 15. Suppose 0*b - j = -b. Sort 1, -7, b in ascending order.\nAnswer: -7, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - w**2 - 9. What is o(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*j - 598 = 0, 0*z = z - 4*j - 176. What is the least common multiple of 196 and z?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (15 - (1 - -9)) - -84 - (18 - 5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5324649 by -33.\nAnswer: -161353","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 5*i**2 + 4*i. Let z be q(4). Factor 0*j**2 + 0 + 2\/7*j**4 + 0*j + z*j**3 + 2\/7*j**5.\nAnswer: 2*j**4*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(s**2 + 4*s**2 - s**2)*(1 + 3 + 0).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 + 220. Suppose r = 4*l + 62, -m = 4*r - l - 397. Let w = r - 57. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9644, 7963, 6282, 4601, 2920, 1239?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -74. Which is the biggest value? (a) 3\/2 (b) 4 (c) g (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1973 + -1975. Suppose c + c = -2. What is the second smallest value in l, 3, c, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2*k = 0. Suppose -6*i - 9 + 309 = 0. Let n be ((4 + -12)\/(-4))\/i*6. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13286 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -31. Let i(c) be the first derivative of f*c + 1\/3*c**3 - 1 + 0*c**2. Let k(n) = n. Determine k(i(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 1 - (1 + sqrt(396)) - (sqrt(176) + (sqrt(11) - (3*sqrt(66))\/sqrt(6))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (90\/(-4))\/(3\/(-6)) - -3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-33)\/(-12) + (-6)\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 23*t + 61. Let p be q(8). Which is smaller: 310 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 + t. Let q be y(0). Suppose q*i = 31*i - 155. Solve -3*j - k - 12 = 0, -4*k = -3*j + i - 32 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/3)\/8*3. Which is greater: -17\/6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 2*m**3 - m**3 + (-1 - 2*m**3 + 1)*(0 - 2 + 0 + (-1 + 1 + 1)*(2 + 1 - 2) + 6 + 13 - 1) to w + g*m**2 + u*m**3 + i*m and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 + 93 - ((4 - 51) + -4 - 3).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f = -698 + 131 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81696959 and 7.\nAnswer: -571878713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 29. Let x be r(-19). What is the second derivative of 37*i**5 + 59*i**3 - 112*i**3 - x*i + 53*i**3 wrt i?\nAnswer: 740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2. Let d(s) = 446262*s. Determine u(d(k)).\nAnswer: -1194898635864*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eel when three letters picked without replacement from mleleeegr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-21198)\/(-1536855)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3\/8 (b) -20476 (c) -7 (d) -6 (e) 4 (f) 3 (g) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.212883 kilograms to tonnes.\nAnswer: 0.003212883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -5, 4, 13?\n\"Answer: 9*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**5 + 4*b**4 - 4*b**2 + b. Let m(d) = 14*d**5 - 11*d**4 + 11*d**2 - 4*d. Let y(l) = 11*a(l) + 4*m(l). Find the second derivative of y(o) wrt o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 18. Let d(q) = -85 + 97 - 35*q - 33*q + 67*q. Determine 7*d(h) - 5*f(h).\nAnswer: -2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4664739899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i**2 - 49*i + 5. Let j(d) = 18*d**2 - 96*d + 9. What is 5*j(c) - 9*u(c)?\nAnswer: 9*c**2 - 39*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -13.28\nAnswer: -13.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1174 + -1171. Let u(f) be the second derivative of 0*f**2 + 2\/21*f**3 + z*f + 0 + 1\/42*f**4. Factor u(c).\nAnswer: 2*c*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -43. Let v = -12 + n. What is the second derivative of -6*x**v + 6*x**5 - x + 3*x**3 + 3*x**3 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 100. What is the highest common factor of y and 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 562 - 313. Let f = j - 250.14. Round f to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000453926374 rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144\/5*x + 232\/5*x**2 + 156\/5*x**3 + 36\/5*x**4 + 32\/5 = 0 for x.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16760647?\nAnswer: 101, 165947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -40 (b) -14\/11 (c) 2 (d) -0.011 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p + 180. Suppose -2*d = -4, -4*a + 0*a - d = -p. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19944*u**4 + u**3 - 638985*u wrt u?\nAnswer: -239328*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 6*w**2 + 11*w - 8. Let p be j(7). Suppose -a = 1, -4*o - p = -5*a - 181. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 7*b + 23. Determine q(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51240.6mg in micrograms?\nAnswer: 51240600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) - (sqrt(128) + -1))*-4)**2 - 6*4*sqrt(128))*-4.\nAnswer: -64 + 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (6 + -1 + -1 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i - i + 15*i + 8*i - 27*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3*n**2*y + 4*j**3*n**2 - 11*j**3 - 6*j*n**2 - 307*n**2*y wrt y?\nAnswer: j**3*n**2 - 307*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from {p: 1, l: 3, w: 1, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/100)\/(14\/256).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 + -50. Solve 0 = 5*z + 14 - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50473 * 0.5\nAnswer: 25236.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 - -590. Let m = g + -219. Let s = 109.15 - m. What is s rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/5 - 2211402*b**4\/5 - 122258133558*b**3 - 1833852100798*b**2\/5 + 8845584*b\/5 + 2445136134408\/5 = 0. Calculate b.\nAnswer: -552849, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*i + 1. Let l(u) = -5*u**3 - 5*u**2 - 4*u**2 + 5 + 4*u**i - u. Is 14 a factor of l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319166 and 40969?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/24*((-2)\/(-1))\/(-1). Let n = 5.752 + -1.752. Which is the nearest to u? (a) -0.4 (b) -2 (c) 0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 13 = -3*v. What is the smallest common multiple of v and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h - 4*x = 26559, 0 = -2*x. Round h to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - -12)\/(3\/1008*8). Solve -79*z + 85*z = m for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9492373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496208.7*-0.57.\nAnswer: 282838.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 201528, 403031, 604530, 806025, 1007516, 1209003, 1410486?\n\"Answer: -2*h**2 + 201509*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 18*o - 8.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 5*m + 5*m**2)*(2*m**2 + m**2 - 2*m**2) + 3*m - 3*m - 2*m**4 + (1 + m**2 - 1)*(3*m**2 - m**2 - m**2).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2186375 litres to millilitres.\nAnswer: 218.6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834*p - 396 = -843*p. Solve 2*i = -p + 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -16, -23, -24, -13, 16, 69, 152?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 2. Let a = -0.01 - -3.01. Let i = 5 + -1. What is the third smallest value in o, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - z**2 - 5*z**2 + (2 + 2*z - 2)*(4*z + z + 22*z) + (3*z - 4*z - 4*z)*(-2*z - z + z) to u + k*z + l*z**2 and give l.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 26160 = 2*r. Suppose -5*j + 6227 = -h, -h + 5376 = 3*j + r. Round j to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/120 + 7*m**5\/60 - m**4\/12 - 2*m**3 - 30*m**2. What is the lowest common multiple of 12 and g(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - y = 3*y + 692, 3*y - 865 = -5*j. Let n = -157 + j. Calculate the greatest common factor of 40 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 38.45928.\nAnswer: 35.45928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 31\/4*d**4 - 29*d + 0*d**2 + 32 + 0*d**3. What is the derivative of y(i) wrt i?\nAnswer: 93*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i**2 + 11*i - 11*i)*(4 - 7 - 3 + (-2 + 4 + 3)*(91 - 44 - 42)) to j*i**2 + x + f*i and give j.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*f**4 + 687*f**4 - 151*f**4)*(0 - 1 - 1).\nAnswer: -862*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**3 + 2*f - 3. Give d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1190)\/(-15) + 2\/3. Let r be l\/(-24)*(-6)\/4. Suppose -r*m - 120 = -d - 17, 380 = 5*d + 2*m. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 0*s**7 - 1\/28*s**8 + 0*s**3 + 0*s**2 + 0*s**6 + s + 0*s**5 + 0 - 1\/6*s**4. Find the third derivative of z(x) wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/5 + 0 + 12. Let w = t + -19. Let d = 6 + w. 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 the common denominator of 23\/23226084 and -139\/89676?\nAnswer: 23226084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52721767, -52721777, -52721807, -52721869, -52721975, -52722137?\nAnswer: -52722367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*b + 408 = -6*b, 2*z = -5*b - 285. Let w = z + 167. Calculate the greatest common factor of w and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 3*l**2 + 28 - 25 + l**2 to x*l**2 + p*l + a and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = l - 8. Suppose -l*s + z = -54, 4*z + 20 = 8. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3\/5 + 4*y**2 + 132*y\/5 + 108\/5 = 0. What is y?\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x**2 + x - 1. Let y(v) = 3*v**3 + 2*v**2 + 2*v + 1. Suppose -6*n = 2 + 10. Give n*r(h) + y(h).\nAnswer: h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3aa4a (base 12) to base 15.\nAnswer: -18ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 1, v: 5, m: 2, a: 3, l: 1}. What is prob of sequence vh?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 525 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152016735?\nAnswer: 3, 5, 13, 779573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 19. Let b = -41 + 63. What is the lowest common multiple of b and f(-9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (488\/(-244))\/((-10)\/(-1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -7 (b) 0.08 (c) 0.17 (d) -98 (e) -2\/5 (f) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1089) + 2*sqrt(1089) + (sqrt(9) - sqrt(54)\/sqrt(6)*-4))\/(1*sqrt(108)*1 + (sqrt(108) - (sqrt(108) + sqrt(108) + sqrt(108)*1*-2))))**2.\nAnswer: 361\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 763253 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8533*w + 824*w + 276*w.\nAnswer: -7433*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5 + 4*l**4 + 1320*l**3 - 9904*l**2 + 23968*l - 18816 = 0. Calculate l.\nAnswer: -21, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 2*x - 1. Let f(l) = -l**3 + 4*l**2 - l + 3. Suppose z - 2 = 2. Let h be f(z). Let r be h + 3\/(-3 - 0). Give y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 7*y + 13 + (2 + 1 - 1)*(-3 + y + 3) - y - 3*y + 5*y - 3*y + 3*y - y)*(-3*y**2 - 5*y + 2*y**2 + 2*y) as s*y**3 + b*y**2 + z + m*y and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*x - 37 = 0, -2*m = 4*x + 5 - 33 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:40 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k*k**(1\/6))**(-40) assuming k is positive.\nAnswer: k**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -0*p + 9*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 14) to base 11.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p**4 - 246*p**3 - 1575*p**2 + 7464*p - 2304 = 0 for p.\nAnswer: -8, 1\/3, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -411088\nAnswer: -7\/205544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 12, 70*y - 24 = 73*y + 5*i. Solve 2 = -x + 4*p - 3*p, -y*p - 6 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 - -101313?\nAnswer: 33312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 16*k - 1. What is the least common multiple of 140 and (19 + k)\/(7 + 6 + -12)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c - 2*c + 7*c)*(2*c - c - 2*c) + 14 + 21*c**2 - 14 - c**2 - c + c)*(50 - 50 - 7*c).\nAnswer: -126*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 65.64. Let z = h + -5.36. Which is the second smallest value? (a) 0.02 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4103\/61285 - -1\/3605. Is n > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zgzi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/17 (b) -0.2 (c) 0.2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from wwgdgdggw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -415\/4 = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k + 15. What is the units digit of r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n + 32. What is the greatest common factor of 24 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 11186022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -12, -s + 3*f + 19 = -2*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 2. Let n(s) = s**2 + 2 + 0 - 2*s**2. Let z be (-2)\/((-5)\/((-15)\/(-2))). What is z*n(l) - 4*f(l)?\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/7*l - 24\/7 + 4\/7*l**2 = 0. Calculate l.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*q = -256*q - y + 9, -11 = 4*q + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = 28. Let n = -5 - m. Solve n*l + 0*l = -5*o - 35, -2*o + 11 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 - 1. Let f(p) be the third derivative of 0*p**4 + 1\/10*p**5 + 1\/120*p**6 + 0*p + 34*p**2 + 0 + p**3. Give f(z) + 6*l(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489 a factor of 62414164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from mmmjjjjaammjajjjjma.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -128*g**2 - 2\/19*g**3 + 9752\/19*g - 9760\/19 = 0. What is g?\nAnswer: -1220, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 4*x - 2. Let d be o(-5). Let n be d*2*1\/(-2). Let g = 2 + 0. Solve -5*s = n - g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200120 + -21?\nAnswer: -200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let m(d) = -51*d + 91. Let u(b) = -17*b + 30. Let o(x) = -4*m(x) + 11*u(x). Let k(f) = -1. Let s(j) = -34*k(j) + o(j). Determine s(g(n)).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 0.82. What is k rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, o: 2}. Give prob of picking 2 o and 2 g.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 27*r + 5. Let f be u(14). Suppose 0 = -2*b - 4*y + 190, 5*y = -b - 3*b + f. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31388646 and 1368.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17644942 by -1260353.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3473 + -49?\nAnswer: -34bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-2 - -67))\/(-1)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14538*z + 14799*z - 29361*z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 62*u + 0 + 0*u**2 - 5\/3*u**3. What is w(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4 - 2. Let t = 70.44 + -70.84. Which is the closest to -3? (a) w (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**9\/40320 - o**8\/4480 + o**7\/1120 - o**6\/480 - o**5\/6 - 3*o**2. Let s(w) be the third derivative of a(w). Factor s(k).\nAnswer: 3*(k - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/7*(-386)\/(-1737)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0531 + -41097622\nAnswer: -41097622.0531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 3\/5, 4\/47, 0, 1\/3, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108426 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -20. Let c = 7 - 2. Suppose -c*v + 123 - 26 = -3*u, 4*v - 2*u = 78. What is the least common multiple of v and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5666 - 5664. Solve -h*m + 2*p + 16 = 0, -6*m - 4*p = -2*m + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20347619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 5. Let y = -1 + g. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 + 0.81. Suppose -2*v + j - 9 = -4*j, -4*v = j - 15. Sort v, 5, c in increasing order.\nAnswer: c, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 7*v**2 + 3*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2107576 and 262984.\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 12*i**2 + 2*i + 9. Let h be s(6). Solve o + 5*b = 0, -b - h = -6*o + 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Suppose -k - 51 = -a*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*q + 52, -2*k + 84 = 4*q + 3*k. Let n = q + 75. List the prime factors of n.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 4\/709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*b + 3100008, 0 = 2*n + 5*b - 4*b + 6199998. What is n rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -199, -567, -935, -1303, -1671, -2039?\n\"Answer: -368*a + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 5*y - 4. Let p be j(4). Let q = -66.84 + 68.84. What is the third biggest value in 5, 3, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvvvb. What is prob of sequence vbb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18228*p = -18213*p - 28 - 212 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-496)\/(-9) - 9\/81. Find the third derivative of 70*i**3 + 21*i**4 + 41*i**2 - m*i**2 - 68*i**3 - 137*i**2 wrt i.\nAnswer: 504*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1937 and 25777.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612132865.\nAnswer: 3, 5, 47, 163, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512 and 8519094.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 23. Solve -3*p + 4*p + 17 = 5*x, -p + x - 1 = r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2834412 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 27\/107134954?\nAnswer: 27\/107134954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 5. Let f be o(5). Let s be ((-4)\/(-10) + f)*15. Let u(d) = -23*d - 11. Suppose -267 = -5*z - 97. Let b(k) = 4*k + 2. What is s*u(n) + z*b(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -3. Let n = v + 10. Suppose -3*m - 4*l - 19 = 0, 3*l = 5*m + n*l + 27. Let f(k) = k. Give f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20008 is divided by 2183?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2 - 10\/(-2)). Is q less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j - 1301 = 2727. Suppose -33*b + 23 = -j. Suppose 4*v**2 + 4\/3*v**b - 16\/3 + 0*v = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/12 - 2\/4. Let d be (8\/16)\/(y\/136). Suppose 3*x - 15 = 3*w, 5*x + 4*w - d = -0*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/31905 and -73\/95715.\nAnswer: 95715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 19*o**2 + 11*o + 16. Let s be y(-6). Suppose -4*b - 3*n + 867 = 0, -b + s = 2*b - n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.1 (b) -1\/4 (c) 252\/11 (d) -2\/19 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 20*k**2 - 17*k - 49. Calculate m(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 6 - (9 - ((8 - 0) + 9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121115 is divided by 140?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 11101203?\nAnswer: 11101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*s - 4 = 0, -4*s + 24 = 4*h - 9*s. Let i(u) = 18*u - 6. Let v be i(h). Solve -2*q - v = 4*f, 8*q = 5*f + 3*q + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 12*b + 15. Let j(k) = -6*k - 7. Let m(a) = 5*j(a) + 3*n(a). Let z(o) = -9*o - 15. Let x(c) = -7*m(c) - 5*z(c). Is x(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 9*a**2 - 7*a - 11. Let b be t(8). Suppose 3*w + 44 = -97. Is 2\/b + w\/(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 - 11*i**2 - 7*i + 3. Let u(c) = 4*c**3 + 5*c**2 + 3*c - 1. Calculate 3*t(f) + 7*u(f).\nAnswer: f**3 + 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67615.\nAnswer: 5, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**4 - g**2 - 2*g - 1. Let h(m) = 3*m**5 - 4*m**4 - 85*m**2 + 5*m + 2. Let d(f) = -h(f) - 2*t(f). Find the third derivative of d(v) wrt v.\nAnswer: -180*v**2 + 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:36 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3830 and 670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 7)*(23 - 6\/(-3)). Let u = h - 115. Calculate the lowest common multiple of 17 and u.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-180)\/8)*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 - i**2 + 6*i + 3. Calculate the lowest common multiple of 5 and s(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 7*p**2 + 15*p + 1. Let y(v) = v**3 - 6*v**2 + 16*v + 2. Let c(w) = 5*m(w) - 4*y(w). What are the prime factors of c(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 + 2*z**2 - 9*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1494 and 252.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 5*j - 40. What is d(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -4*o - 18. Suppose -h - g + o = 0, -9 = 2*h - 2*g + g. Which is the closest to h? (a) -5 (b) -0.4 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/2494020 and -46\/45.\nAnswer: 7482060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1496 - -9065\/6. Find the common denominator of ((-5)\/180)\/((1 + -3)\/596) and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -145*k**2 - 2*k + 2. Let o be v(1). Let u = o + 257. Is u a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13305, -13317, -13375, -13509, -13749, -14125?\nAnswer: -14667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2. Let l(d) = 4*d - 104. Let w(r) = 3*r - 80. Let y(z) = 8*l(z) - 11*w(z). Give y(x(g)).\nAnswer: 9*g**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-21)*30\/8. Suppose -1272 = -j*f - 142. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 58*m**2 + 58*m - 106. Give f(57).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 8*q - 8 = -4*o, -3*o + 14 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 92 + 232 = 0 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*-20\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16*r**2 + 39*r + 14. Suppose -3*k = k + 5*v - 6, -5*v + 13 = -3*k. Let u(y) = y**2 + y + 1. Let z(g) = k*w(g) + 4*u(g). Factor z(h).\nAnswer: 5*(h - 2)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/9)\/(3\/(-594)). Let b = -8117 + 8183. Calculate the greatest common factor of c and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {k: 2, f: 1, v: 3, z: 1, w: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1454178 and -119\/54?\nAnswer: 13087602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let g be 6\/(-4) + 3\/6. Let s(b) = -6*b**2 + 3*b - 2. Let r(y) = g*s(y) - 6*k(y). Is 15 a factor of r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223989*b**3*g*w + b**3*w + 2*b**3 + 14*b**2*g*w - 2*b*g*w - 20555*b wrt b.\nAnswer: 1343934*g*w + 6*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/14 + (-34)\/119. Suppose -8 = -g*h - s, 3*h + 0*h - 6 = -2*s. Suppose 1 = -h*t + 77. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -15a?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + m + l + 201, -2*m = -5*l - 105. Suppose 3*v - 159 = -4*g, -m = -2*g + 4*v + 46. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.129 + -1240347822914\nAnswer: -1240347822914.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -66\/16230755 and -47\/20?\nAnswer: 64923020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1130)\/3390)\/(33\/(-8)*(-4)\/9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n**3 - n**2 - n - 1. Suppose -2 = -2*f - 4. Let z be r(f). Is 1 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*w + 3*w - 762, -w - 5*t = -248. Let k = -216 + w. Sort 5, -5, k in ascending order.\nAnswer: -5, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/((-5)\/185)*(-41)\/41.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let z be v(-2). Let b = -4 + z. Let f(s) = s**2 + s. What is the units digit of f(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 67*o - 281*o - 130*o - 15 - 44*o. Is j(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*p**4\/7 + 1566*p**3\/7 + 390*p**2\/7 - 362*p + 168 = 0.\nAnswer: -4\/3, 7\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 110440876 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Let f be -73*(-3)\/(-6)*2. Let w = 73 + f. Put 1, w, u in descending order.\nAnswer: u, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(77) - sqrt(77)))\/(sqrt(7) - sqrt(112)*-3).\nAnswer: 6*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o + 189. Suppose -4*z = 5*v - 177, -2*z + o + 48 = -5*v. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35464*y - 69908*y + 34447*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(1\/3)*s)*(s*s**(3\/2))\/s)\/(s**(-7)*(s*s**(1\/4)*s)\/s) assuming s is positive.\nAnswer: s**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-90015144.003\nAnswer: -90015143.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(10758\/(-44))\/((-9)\/(-4)). What are the prime factors of (-8 + (-126)\/(-14))\/(2\/d)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 - p**2)*(-2 + 2 - 3*p) + (-57*p - 55*p + 36*p - 1)*(-3*p**2 + 9 - 9 + (-2*p - 2 + 2)*(-2*p + 0*p + 3*p)).\nAnswer: 386*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - -10. Calculate the remainder when 76 is divided by (-864)\/(-33) + (-4)\/d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-12) - (2 + -5)\/(-3). Suppose -a = 2*a - 9. Let r be (a\/2)\/(3\/(-4)). Is n smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + ad7?\nAnswer: ae1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13970765333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**2 + v + 1. Suppose 5*z - 367 = -3*b, -b - 2 = b. Let i = z - 75. What is l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -103\/8150394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6851629*r**6 + 9431359*r**2 wrt r?\nAnswer: -822195480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 77*m**2 + 2*m + 2. Let p be (12 - 11)\/(2\/(-6)). What is the hundreds digit of s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*p**4 - 18928\/5*p + 0 + 104\/5*p**2 + 76\/5*p**3.\nAnswer: -2*p*(p - 26)**2*(p + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.8 + -2.1. Let x = d - 2.7. Let v be (-45)\/(-84) + 1\/(-4). Which is the closest to v? (a) -1\/7 (b) x (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in -2, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -25*r**2 - 10. Let s(b) = 2115*b. Calculate x(s(g)).\nAnswer: -111830625*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -134474 (base 10) to base 5\nAnswer: -13300344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 - 422*m - 855. Calculate y(19).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3354 - -3432. What is the smallest common multiple of 91 and y?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 21 = 117. Suppose -j*k + 307 = -31*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -12*(76\/(-16) + 5) + 74 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 558.8285 milligrams to micrograms.\nAnswer: 558828.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466872146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 9*w + 15. Let c be o(8). Let j(f) = f**2 - 4*f + 19. Let b be j(c). Let g = 44 - b. Solve -g*z - 25 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {o: 1, f: 1, k: 4, a: 1, h: 6}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 * -128865.\nAnswer: -15463800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 8*k + 608 = 597 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*r = 8, 5*r = -0*r + 20. Let b(l) = l**2 - 7*l + 2. Let k be b(6). Let u = m - k. What is the remainder when 28 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10320003 + -21?\nAnswer: -10320030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/130 and -61\/12.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2302 + -2275 - (1 - (-2 - 86))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 44 = 2*i, -4*i - 2*f + 34 + 54 = 0. Calculate the greatest common factor of i and 2123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 607 + -619. Let x be ((-4)\/(-10))\/((-3)\/60). Let t(a) = 2*a + 6. Let j be t(x). Which is greater: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95.251 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/14 - 4\/(-14) - -2. Solve g = -2*v + 3, -29 = f*g - 3*v - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25784\/(-10) - -2) + 64\/160. Let l = 3765 + d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5594 * 34.\nAnswer: -190196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 1 - 1) + 145 + -54 + -89.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 847071*b + 0 + 847074*b - 2.\nAnswer: 3*b - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5276, -39283, -130754, -308423, -601024?\nAnswer: -1037291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {o: 6, b: 1, e: 1, i: 3, r: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:44 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -140*l + 135*l + 5*v, -3*v + 27 = 0. Solve -11 = -2*p + l*r, 34*p - 11 = 29*p + 2*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/14 and 53\/334?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -7083 (b) -2\/3 (c) 1 (d) 19 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3984 and 612?\nAnswer: 203184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 <= 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-405)\/(-1080))\/(3*1\/(-2)))\/((-6)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**4\/24 + 7*a**3\/2 - 10*a**2. Is 8 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) - 16\/5. Let r be 44\/8*(-1 - n). What is the units digit of 1572\/66 + 2\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8045*c - 8002*c = -559 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = -2*i + i, -5*h = -3*i + 1. What is the units digit of 9*(-3)\/6*h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165691860 and 732?\nAnswer: 165691860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1096 + -5472\/5. Let c(o) be the first derivative of -9*o + 0*o**3 - 2 - t*o**5 + 0*o**4 + 0*o**2. What is the derivative of c(x) wrt x?\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d + 90. Let c be o(8). Calculate the remainder when (-3)\/((-508)\/(-260) - c) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Suppose 0 = -f - 5*t + 17, 8*f - 3*f = -5*t + 5. Calculate the smallest common multiple of 2 and -2*(s + f\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 56*n - 559. Let k be f(-13). What is the smallest value in -5\/3, k, -4, -0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/40 - 31*q**4\/12 + 224*q**3\/3 + 512*q**2 + 886*q. Factor w(m).\nAnswer: (m - 32)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*s - 51 + 35, 3*s = 2*d - 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4*y + 8521*t**3*y + 146*t**2*y - t - 2777363*y wrt t?\nAnswer: -12*t**2*y + 51126*t*y + 292*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 7 = 3*q, 0 = -6*q + 9*q + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10116 - -9853. Is -0.2 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 at least -7207\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364419 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v + 6. Let m = 452 + -450. Suppose m*d = 5*b - 5, -2*d - 4*b + 4 = -d. Give r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4348 - 257 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22128*w - 22256*w + 1664 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, 3, -2, 18, 5, 385 in descending order.\nAnswer: 385, 25, 18, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35516786 (b) -2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose q*r + 2*r = 8. Suppose 2*c - 24 = -r*c + 3*p, -4*c = 5*p - 24. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*n = 1403 + 572 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*s + 10 - 1, -3*q + 25 = 4*s. Suppose -s = 4*h - 5*h + 4*y, -3*h - y = -64. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5\/5 + 142*f**4 - 6726*f**3\/5 - 11950*f**2 - 96472*f\/5 - 8832 = 0.\nAnswer: -4, -1, 16, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**6\/40 - c**5\/30 + c**4\/12 + c**2. Let d(n) = -7*n**2 - 2*n + 6*n - 1 + 2*n**2 + 0*n**2 + 6*n**3. Give -5*b(o) + 2*d(o).\nAnswer: -3*o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*d + 30 = 161*d. Let h(c) = -3*c + d + 5*c - 8 - 3*c + 2*c. What is h(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 27 - 27 - 12*a**3 + 1.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233994*k - 234048*k + 3510 for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let u(w) = -3*w - 15 + 13 + 5*w. Suppose 2*o - d = 0, o + 3*d = -3*o + 20. Determine o*u(f) + 4*z(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(5 + -3 - 5). Solve w*b = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34566 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7698 at most 7697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*q + 287 - 2487 - 728 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/10)*(r\/(r*r**5*r*r))\/r)**48 assuming r is positive.\nAnswer: r**(-1896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*h - 34, 3*a - h - 250 = -2*a. Suppose 4*o - 5*d = a, 4*d - 8 - 43 = -5*o. Let r(x) = -3*x. Let n(v) = 16*v. Calculate o*r(z) + 2*n(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147 * -100.349.\nAnswer: 14751.303","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w**(-6))\/(w**0)**45 assuming w is positive.\nAnswer: w**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 17*k**2 - 41*k + 462. Is 47 a factor of t(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63869 and 9248.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2048734 is divided by 575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261 by 38286.\nAnswer: 29\/4254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - g**2 + 1)*(1 - 3 + 1 + 2 - 3 + 0 + (-4 + 1 + 4)*(-1 + 1 - 1) + (-2 + 0 + 5)*(-1 - 1 - 1))*(12*g + 15*g - 8*g).\nAnswer: 228*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8696*1\/72 + (-4)\/(-18). What is the highest common factor of r and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80721?\nAnswer: 3, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 437 = -5*h + 7*k, -263 = -3*h + 2*k. Let j = -1 - -1. Suppose -5*z + h + 68 = j. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 + v**2 - 20*v**2)*(-7 + 4 + 2).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f + 14*f + f**2 + 1. Let z = 7 + -5. Let i be b(z). Solve -i*u - 22 = -7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {p: 1, b: 3, u: 1, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 3. Give i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, a: 1, m: 1, y: 2, u: 2, q: 1}. What is prob of sequence aww?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 21*o. Let z(s) = 4*s. Let f(r) = -4*p(r) + 22*z(r). Let n(h) = 3*h. Give f(n(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjjc when four letters picked without replacement from {i: 2, c: 1, w: 3, j: 3, n: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 241*j**6\/60 + j**5\/30 - j**4\/12 + j**3\/3 - 37*j**2. Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 773626, -12.\nAnswer: -12, -2\/27, 773626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 23\/18 - 1\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006415864043 to 6 dps.\nAnswer: 0.006416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/184 and 47\/1380.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -4, 250 in increasing order.\nAnswer: -4, 22, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2984 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 71 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 101777 = 3*r - 22500, -2*r - 2*x = -82852. What are the prime factors of r?\nAnswer: 5, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 32 = -19*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**3 + 5*m**2 + 3*m**3 - 2*m + 2 + m**3. Let r be -2*(10\/4 + 0). Is y(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -64.6984 from 30.2.\nAnswer: 94.8984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 221*c - 28471. What is r(-86)?\nAnswer: -2069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11170, 35 in increasing order.\nAnswer: -5, 35, 11170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t + 7492000 = -91*t. Round t to the nearest 1000.\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41238, -82474, -123710, -164946?\nAnswer: -206182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15498 or 10916?\nAnswer: 10916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381*1371.\nAnswer: 522351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 1521?\nAnswer: -151b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 + 16\/(-4))*1. Suppose -f - h = -8. Solve f = -0*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 5. Calculate the remainder when 65 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 21. Let b = 17 - y. Calculate the remainder when (-152)\/(-10) + (-3)\/15 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -68. Let m(x) = 7 + l*x + 4*x - 11*x. Let i(p) = -p**3 - 4*p**2 + 5. Let y be i(-4). Calculate m(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyt when four letters picked without replacement from ytyty?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-72)*(-32)\/28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4794?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/(g\/g**(-2\/47)))**(-6\/7) assuming g is positive.\nAnswer: g**(-1962\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 29. Suppose 2*i + 2 + t = 0. Let r(g) = g - 1. Let k(a) = -5*a**2 - 10*a + 5. Let c(f) = i*r(f) - k(f). Factor c(v).\nAnswer: 5*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = h + 5*k - 329, -5*h = 5*k - 1795. Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 4}. What is prob of sequence oooo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d**3 + 2*d**2 - 7*d + 1. Let u(m) = m**2 + m - 8. Let y be u(3). Suppose -5*r + y = -6. Let g be a(r). Round g to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -2*d**6\/3 - 28*d**5 + 37*d**4 + 140*d**3\/3 - 72*d**2 + 189. Suppose h(r) = 0. Calculate r.\nAnswer: -36, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9133 + -1.\nAnswer: 2.9133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23399, 23377, 23341, 23291?\nAnswer: 23227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -4*(sqrt(612) + (sqrt(612) - 2*sqrt(612)) + -2 + -6*(2 + sqrt(612) - sqrt(612))))**2 + -3.\nAnswer: -2919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -702\/5 in -0.07, -1\/19, 1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -1583\/17 in descending order.\nAnswer: 7, 3, -1583\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 43367.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 844 + -841. Solve -6*i + u*i = 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u*u\/(u*u*u**(2\/9)))**(-1\/11) assuming u is positive.\nAnswer: u**(29\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2437 is divided by 80?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 12*p**2 - 11*p + 4. Let s be x(11). Suppose s*q - 3 = 9. Suppose -q*m = 2*c - m - 110, c - 5*m = 31. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101 + 11?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -110, -202, -320, -458, -610, -770, -932?\n\"Answer: f**3 - 22*f**2 - f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -2 (c) 0 (d) -1\/2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 17 = -4*j, 424*j + 8 = 426*j + 3*l - l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 20 = 0, 4*b - 3*b = 5*i + 37. What is the highest common divisor of 136 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {v: 4, h: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5988 - 113.7512. What is g rounded to 0 dps?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86917 is divided by 439.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgl when three letters picked without replacement from {l: 4, j: 1, g: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 minutes after 12:11 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-10)\/60). Let s = -74 - -44. Let h = -30.1 - s. Which is the closest to h? (a) -0.5 (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1009488093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 6 - 4*k - 2*k + 0*k**2. Let w be r(-5). Let b = -124\/91 + 14\/13. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360 - 32. What is the highest common divisor of t and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65601*f**3 - 1932186*f**2 wrt f.\nAnswer: 393606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37426 = 29*s + 37339. Let h(p) = -p + 4. Let m be h(-7). Solve 5*l - w - 1 + m = 0, 6 = -s*l - 2*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/67 + -197\/134. Suppose -2*y + 5*j - 12 = 0, 5*j - 9 = y - 2*y. Which is the second smallest value? (a) x (b) y (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-17) + 308\/1190?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093503678 to six dps.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 36047220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(2 - 2 + 4)*(0*y**3 + 0*y**3 - y**4) + (-4 + 4 - 2)*(-4*y**4 + y**4 + 2*y**4) - 25*y**4 + 71*y**4 - 21*y**4.\nAnswer: 35*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:19 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5876968 divided by -68.\nAnswer: 86426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 3*s + 26, 2*s = 3*v + 2*s + 3*s - 33 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42896 and 46726?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v. Suppose 3*c + 8 - 14 = v. Solve -19 = c*p + 5*h, 2*h = -3*p - h - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -734, 4943, 20362, 50395, 99914, 173791, 276898, 414107?\n\"Answer: 812*v**3 - v**2 - 4*v - 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002438964 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 212 = -4*j. Calculate the remainder when j is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32373 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/((-209)\/2090).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*l**2 + 321*l**2 + 272*l**2 + 616*l**2 in the form p*l**2 + i + m*l and give p.\nAnswer: 1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Suppose 5*u + 15 = 2*r, w*u = 2 - 7. Suppose -3*z = -r*z - 10. Sort z, 3\/2, -4 in decreasing order.\nAnswer: 3\/2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -10003?\nAnswer: 31\/10003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/11)*s*s)**(-2\/11)*s\/(s**(-1\/29)\/s)*s*s**17)**(1\/35) assuming s is positive.\nAnswer: s**(68909\/122815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 935593. Let v(p) = 29*p**2. Give d(v(b)).\nAnswer: 58*b**2 + 935593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1503 + -281?\nAnswer: -1784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2921989 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58744?\nAnswer: 2, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*l - 6485 + 1483 - 5686 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -7102\nAnswer: -5\/7102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**2 - 1. Let r(o) be the second derivative of -13*o**3\/6 - 150*o. Calculate n(r(f)).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*q - 112 = 0, 15 = 3*q + 3. Let l = -23 - c. Let o be (l - 28\/12)*-15. Solve -o*d + d = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*n = 757*n + 426 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/13 - 4386\/(-221). Let t be 18\/4 - (-30)\/j. Solve 2*c - t*c = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -57. Solve -2*c - w = 4*p, 5*c - 3*p + 5 = 2*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -z - 54, 5*r - 101 = -40*z + 38*z. Let t(i) = i**2 - 18*i - 18. Give t(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from fofffuffuoff?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + (-20896)\/(-3492))*-6. Let o = 29459\/12804 - s. What is the common denominator of -93\/4 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose v = 3*h, -o*v + 56 = 3*v - h. Suppose -v = 5*t - 67. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005565291 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4381798 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46663 = -727*r - 20954 + 31724 for r.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 + 1. Let z be 6\/18*1*3. Is a(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 + 15883410*l**3 + 16818863431920*l**2 + 5936492556303584990*l + 17809326299568719355 = 0. Calculate l.\nAnswer: -1058893, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*r = -2*r + 16, -5*r + 14 = -o. Suppose 74*t + 15 = 79*t. Sort o, t, 5 in increasing order.\nAnswer: t, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*sqrt(50)\/sqrt(2))\/(-6*(sqrt(5) - sqrt(125)))*-5)**2.\nAnswer: 5*sqrt(5)\/2 + 1421\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 16 - 2\/3*y**3 - 22*y - 1\/2*y**2 + 19*y**4. Find the second derivative of d(f) wrt f.\nAnswer: 456*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 16, a: 4}. Give prob of picking 2 c.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*sqrt(343)*2 - sqrt(343)) + 4 - (sqrt(567)*-2 + -1 - (5 + -3 + (sqrt(7) - sqrt(28)))))**2.\nAnswer: -640*sqrt(7) + 7268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173.194 + 101.4. Round h to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -26*m + 1. Let q(n) = 2*n. Let i(d) = -p(d) - 5*q(d). Let v be 4\/3*(3 + (-27)\/(-6)). Suppose -2*s - 3*t = -1 - 10, 2*s - 4*t + v = 0. Give i(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 364 and 16.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1317035306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 + 1474070*c\/9 - 23585632\/9.\nAnswer: 2*(c - 16)*(c + 737051)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 10*y + 4. Let i = -12 + 3. Let v be r(i). Let u = -1\/56 - -121\/504. Which is the closest to -2\/7? (a) u (b) 5\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31246.9 + 31247. Let z = -231\/2 - -119. What is the fourth smallest value in 0, z, 1\/4, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-20) - 10\/(-25). Let g = 20\/3 - 6. Which is the closest to g? (a) f (b) 2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by -3.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.85 + -0.8. Let f = 0.45 - m. Which is the second biggest value? (a) -3 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 4, 3, 2, 0 in decreasing order.\nAnswer: 12, 4, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 10*j - 14*j. Let h be -679998 - j\/3*3. What is h rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 1\/5, 8, 5.3, 4.\nAnswer: -40, 1\/5, 4, 5.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2805\/4 + 3478\/5. Find the common denominator of g and (-4)\/(-18) + 445\/144.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76 - -2) + (3369 - 3374)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67077*q + 76088?\nAnswer: -67077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 18. What is the third smallest value in -2\/3, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -21. Sort -4, 4, b in decreasing order.\nAnswer: 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-9)*1*-6. Let t be ((-24)\/(-18))\/(w\/6). Solve 2*n = t - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49456 = -3*x - 73544. What is x rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -148, -258, -394, -556, -744, -958?\n\"Answer: -13*x**2 - 45*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(((sqrt(171) - (sqrt(171)*2 + sqrt(171)))*1 - (sqrt(171) - -3*(sqrt(171) + sqrt(171)*-1 + sqrt(171))))\/(sqrt(144) - -6*sqrt(144)*-1))**2.\nAnswer: 342\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*l + 1238 = -h, 1604 = 4*h + 4*l. What are the prime factors of h?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005466 to 7 dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q - 19. Let w(d) = d**2 - 17*d - 31. Let y = -55 - -73. Let r be w(y). Is 12 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904871250 is divided by 1131?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461, 677, 893, 1109?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 + 2\/(-24). Which is the nearest to s? (a) -2\/7 (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**5 + 2*m**5 + 2*m**5 + (-4*m**2 - m**3 + 4*m**2)*(-25 + 9*m**2 + 25) + 719*m + 7*m**5 - 719*m.\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 18 = -3*p. Let f be (260\/6)\/((-6)\/p). Let m = f + -36. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 57. Suppose 37*z = d*z. Determine p so that 2*p**2 + z*p**2 - 3*p + 0*p + 5*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-20)*((-490)\/(-42) - -10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1463\/133 + (-92)\/138*(-114 + 0).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5 = -3*q, 5*q + 3*p = -8 - 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15987*s**3 - 3867978*s**2 - 211980*s - 2904.\nAnswer: 3*(s - 242)*(73*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 9, -3*q + 13 = 7*f - 6*f. What is the third biggest value in -0.5, 0, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))**2*-5 + sqrt(19) - sqrt(76)\/sqrt(100).\nAnswer: -100 - 46*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 3. Let t be l(0). Suppose -t*i + 24 = 3*i. Suppose -g = 2, -i*r + 0*g + 5*g = 3479990. Round r to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpn when three letters picked without replacement from {y: 4, p: 2, w: 1, n: 2, q: 1, c: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**3 - 378*o + 49*o - 7*o + 2*o**4 + 2*o**3 + 4*o**3 in the form v*o**2 + i + u*o**3 + l*o + j*o**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 6401, -13 in descending order.\nAnswer: 6401, -0.6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-58 - (-42 - 9))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3339 = -5*z - 2*z. Let b be 10\/2 + z\/(-36). Let m = -14 + 6. Which is greater: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72072\/22 - (6 + -15)?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**15\/v)*v)\/v*v**(11\/4)*v)\/((v**16\/v*v)\/v*v*(v\/(v**(-13)*v))\/v) assuming v is positive.\nAnswer: v**(-149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(-4\/9)\/i))\/i*i\/(i\/((((i*i**(-8))\/i)\/i)\/i)*i*i)*i\/i**(-9)*(i\/i**(-6))\/i*i assuming i is positive.\nAnswer: i**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 834938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24303013 (base 5) to base 16.\nAnswer: 37c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -754 - -451. Let n(a) = -2*a - 2. Let c be n(-3). Let p be (-6)\/c + 0 + d\/(-210). Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -454.2 + 453.2. What is the nearest to 5\/2 in 3, 4\/7, k, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4291, 8682, 13073, 17464, 21855?\nAnswer: 26246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-1\/30)\/(n**(2\/9)*n*n**(2\/5)) assuming n is positive.\nAnswer: n**(-73\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39\/7 in 2\/7, -3\/8, 1044465?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/26 + 4\/((-8)\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/31, -1\/4, -4, 0.1 in descending order.\nAnswer: 0.1, 0, -1\/31, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 6*q**2 - 3*q**2 + 0*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6954941 is divided by 4004?\nAnswer: 3997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idi when three letters picked without replacement from {a: 8, x: 3, g: 5, i: 2, d: 1}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/4 - 1)*-16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6244066 to the nearest integer?\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 584901320452.8 minus 4?\nAnswer: 584901320448.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 2*t + 5. Let z(p) = 0*p**2 + 3 + 4*p**2 - 2*p**2 + p. Let o = 16 - 6. Let y = -15 + o. Determine y*z(k) + 3*f(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/339 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5271, -9, 3 in descending order.\nAnswer: 3, -9, -5271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 532*f**3 - 19*f**2 - 3*f. Let y(n) = -532*n**3 + 20*n**2 + 4*n. Let d(q) = -7*c(q) - 6*y(q). What is the third derivative of d(z) wrt z?\nAnswer: -3192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 95*r - 130. Determine n(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8 + -120.4.\nAnswer: -123.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*p + 6 - 9 = 0, -6*x = 4*p + 30 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288008016 a multiple of 10392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133.912 - -272.13. Let s = u + -473.1. Let b = 67 + s. What is b rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(76))\/sqrt(4).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737186 < 1737192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67.993 - 0.007. Let u = r - -23. Let v = -42 - u. What is the second biggest value in -2, 1\/2, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*v**2 + 616 - 86*v**2 - 79*v**2 - 75*v**2 to the form x + n*v**2 + z*v and give x.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-11)*(2\/(-2))\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1160 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 868842 >= 868841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -685, -669, -629, -553, -429, -245, 11, 351?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 33. Suppose 12*h = 9*h - 9. Let l be 6\/(-9)*-6 + h. Do l and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**4\/4 + 6*u**3 + u**2 - 31*u + 80. Let a be d(18). Solve 0 = 5*s + z + 28, 4*s = s + a*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**4\/24 - m**3\/2 - 3*m**2\/2 - 1. Let x(h) be the second derivative of s(h). Differentiate x(u) with respect to u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 799*m**3 - 4 + 15*m**3.\nAnswer: 814*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 6, 124, 2, -5\/18 in decreasing order.\nAnswer: 124, 9, 6, 2, -5\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 311951856 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006466225884 to six dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -27. Suppose 0 = -145*z + 287*z - 121*z - 126. Calculate the highest common factor of z and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 5, b: 3}. Give prob of sequence tbbb.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4759252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 + -0.29. Let b = 0 + k. Sort b, 2\/5, 5 in decreasing order.\nAnswer: 5, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 divided by -16113.\nAnswer: -233\/16113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89\/178*19\/(836\/(-24)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 14*q + 9. Let u be d(5). Suppose u*f + 0*f = 24. Solve f*s = 11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5166 - -5228. Suppose -9 = 2*c - 691. Calculate the highest common factor of c and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxayz. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.8938 less than -23662.28?\nAnswer: -23581.3862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4879.831kg?\nAnswer: 4879831000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/16 + (-2273)\/(-4) is divided by (2736\/(-180))\/((-4)\/5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 15*z - 22. Let j be c(9). Solve 0 = 3*g - j*h - 28, h + 2 = -3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.7 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 129. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 18. Let y be 3 - 1*3\/3. Let t be y\/(-5) + 102\/i. Solve t = 6*k - k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 2*o**2 + 61*o - 151*o - 4.\nAnswer: -o**2 - 90*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -232957\/2860 + 1629\/20. What is the fourth smallest value in 22, 4, 3, 1, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22341 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 559*a**2 + 2*a. Is k(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1136*f**2 + 790*f - 1605*f**2 + 1981*f**2 wrt f.\nAnswer: 3024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311 (base 6) to base 9.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*s**5 + 15335*s**4 + 3*s**2 + 98021957*s wrt s.\nAnswer: -100*s**3 + 184020*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 345496a?\nAnswer: 3454968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1101111110111111000 (base 2) to base 6\nAnswer: -13453240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45320 divided by 4?\nAnswer: -11330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4005*q + 272*q - 101*q)*(q**2 - 3 + 3).\nAnswer: -3834*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 424. Let t(c) = -c + 11. Calculate o(j) - 2*t(j).\nAnswer: -2*j + 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c4 (base 14) to base 15.\nAnswer: -35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-404 - -431) + 9 + -2 + 0\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/18 and (-8)\/(-60) - (-502)\/(-240)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-6 - (8 - (8 + 2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1152) + sqrt(18))\/(-2*sqrt(384)).\nAnswer: -9*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/(-10))\/((19\/((-950)\/10))\/(-1))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -18 - (1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/9 + 60*o**3 + 5200*o**2\/9 = 0.\nAnswer: -260, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(350\/(-1068)) - 1\/(-7). Let v = d + -15. Find n, given that 1\/5*n**3 - 3\/5*n**2 + v*n + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/9 + 331196*v\/9 + 13711348802\/9 = 0?\nAnswer: -82799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(-1)*-1. Let d = 87828 - 87827.6. What is the nearest to n in 0.2, 3\/4, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t*t*t*(t**9*t)\/t)**(-32)*(t**(-2\/15)*t)\/t**(-2\/15)*(t*t*(t**1\/t)\/t*t)**(11\/4) assuming t is positive.\nAnswer: t**(-755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 5 (b) 8 (c) 550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 8. Let v = 40 - 38. Let o be 4 - v\/(4\/(-22)). Calculate the remainder when b(o) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -41. What is the second derivative of -36*s**f - 2*s + 7*s**5 + 0*s wrt s?\nAnswer: -580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - 1*sqrt(567)) + 1)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, 0, 5 in ascending order.\nAnswer: -479, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.014, 4, 1532 in decreasing order.\nAnswer: 1532, 4, 3, 0.014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 782 - 782. Suppose -4*u + 5*y = -5238, i = 2*u - 50*y + 54*y - 2606. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e - -e?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 k when four letters picked without replacement from gkdgdcddlgrgkgcgd.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 0 - 10\/80*24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-8)*w**1)\/((w**5*w)\/((w**(2\/13)\/w)\/w)))**(-1\/2) assuming w is positive.\nAnswer: w**(-14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 4*q - 10)*(3 - 1 - 1)*(-45 + 18*q + 45)*(-1 + 2 - 3) in the form i*q**2 + j*q + s and give i.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*-1 + (-20)\/(-8). Let m be 2\/(-28)*(-56)\/16. Put m, -0.1, i in increasing order.\nAnswer: i, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f. Let s(a) = -3*a - 752. What is r(s(i))?\nAnswer: -9*i - 2256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + sqrt(396) + (sqrt(396) - (sqrt(396) - -4*sqrt(396)*-1))**2 + 4*1*sqrt(396).\nAnswer: 36*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 22 - 17 = 0. Solve v*h - o - 5 = 0, 5*o - 8 = -2*h + 8*o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = 16. Let j(x) be the second derivative of -x**3\/3 - 3*x**2 + 2*x. Let c be j(-4). Solve -5*q - u + 25 = 0, -r = 2*q + c*u - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -696*v**5 - 8206*v**4 + 1 + 627*v**5 + 93*v + 8206*v**4 + (0*v**2 - 3*v**2 + 4*v**2)*(-v**3 - 2*v**2 + 2*v**2).\nAnswer: -70*v**5 + 93*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 6)*2\/5. Find the third derivative of -3*o**6 + 2*o**f - 8*o**2 - 2*o**6 wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3 - (3 - 5 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8\/91 - -27\/728. Let m = -6.15 + 6.1. Sort -5, m, v in ascending order.\nAnswer: -5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 8. Let u be 1 - ((-4)\/1 + 2). Let w = -9 + u. Calculate the least common multiple of l(w) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 7*z + 5. What is k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25*t + 419. Calculate n(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*v + 465*v = -5*l - 60, 0 = -26*l + 24*l - 24 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwsw when four letters picked without replacement from {s: 2, w: 3, j: 1, f: 2, a: 2, z: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.12, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -15*l - 1. Let g be t(-1). Let n = g + -14. Factor 1\/3*b**2 - 1\/3*b + n.\nAnswer: b*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4212))\/(5*sqrt(8)\/sqrt(2)).\nAnswer: 27*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567432.\nAnswer: 2, 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 602122*n**3*s + 12*n**2*s - 72*s + 48 wrt n?\nAnswer: 3612732*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 2*i**2 + 7*i - 2*i + 3 + 3*i - 4*i**2. What is the tens digit of j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 7*i + 1\/48*i**4 + 1\/2*i**2 - 1\/6*i**3 - 1. Let f(j) be the first derivative of b(j). What is k in f(k) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5071 from 1213.\nAnswer: 1211.4929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/875 and 18\/428575?\nAnswer: 2142875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2135\/(-793))\/((-5)\/65) and 1805.\nAnswer: 12635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190849\/24160 - 3\/4832. What is the common denominator of -35\/9 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1635 - -3483. Let f = o + -1099. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143 by 218.\nAnswer: -143\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 80, 116, 144, 158, 152, 120, 56?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -168, 4, -2 in increasing order.\nAnswer: -168, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 7*u + 3. Suppose 5*p + 24 = -2*k, 0 = -p - 3*k - 3 - 7. What is the remainder when 1 + p + 3 - -3 is divided by g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 369*i - 2325. Determine v(7).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 62, 87, 108, 125, 138?\n\"Answer: -2*d**2 + 35*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 - 3*a + 2. Let r be n(1). Suppose j + q + 19 = 4*j, -r*j + 3*q = -37. Suppose -2*b + 8 = h, j*b - 20 = 4*h - h. Solve h = -y + 4 - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 3*p**2 + 2*p. Calculate t(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgxwg. What is prob of picking 1 w, 1 q, and 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 4}. Give prob of sequence nnj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -169535, -339102, -508669?\n\"Answer: -169567*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v - 1. Let k(q) = -6*q**2 - 8*q - 10. Suppose -9*z - 50 = 41*z. Determine z*k(c) + 8*p(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/3)*y\/(y*y**(-10)))\/(y**(-3))**(-29))**(3\/8) assuming y is positive.\nAnswer: y**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150000 = 10*x - 8*x. What is x rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17793.17 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1593*n - 198562. Calculate i(-124).\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 + 2*s**2 + 2*s + 1. Suppose 1 = -4*c - 3*q, 3*q = c - 2*q + 6. What is the units digit of h(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(1705\/(-62))\/55?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -81.1 (b) 4 (c) -3 (d) -1.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962328329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -0.06\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -121*g**4\/2 + g**3\/3 + g**2\/2 - 162*g + 1284. Find the second derivative of m(p) wrt p.\nAnswer: -1452*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.839 <= 1251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -34, -67, -116, -187, -286?\n\"Answer: -f**3 + f**2 - 19*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/4 + 8*z**3\/3 + 11*z**2\/2 - 28*z + 24. What is the tens digit of i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:09 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-10)\/3 - 20\/30. What is the closest to -1\/3 in 1\/7, i, 2\/7, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 0, 4*j + 12 + 13 = -5*r. Sort r, 3, 8 in decreasing order.\nAnswer: 8, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -45. Let m(d) = 2*d**2 + 54*d - 26. What are the prime factors of m(s)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 11 = 4*w - h, 5*h - 25 = 0. Suppose q - w = -0*q. Let a be q\/(8*-1)*0. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g + 123. Let o be b(-13). Suppose -o*z + 2247 - 447 = 0. Calculate the smallest common multiple of 15 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191*w**6 - 1023*w**5 + w**4 + 1437055*w**2 wrt w.\nAnswer: 22920*w**3 - 61380*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose 18 - 14 = 2*n. Solve 0 = 2*y + 4*p - 4, -2 = y - n*p - x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32007.02 to the nearest one hundred.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -299203200 divided by 160\nAnswer: -1870020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4506*8\/(-36) - 301\/(-129). Which is smaller: -1000 or t?\nAnswer: -1000","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1323113224 + 213?\nAnswer: 1323113442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 10. Calculate v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 114. Let u(c) = -4*c - 3*c**2 + 7 + c**2 + c**2. Give u(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(972) + 2)**2 + sqrt(972)) + (0 + sqrt(147) + (0 + sqrt(147) + 1 - sqrt(147)))**2.\nAnswer: -828 - 76*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxh when three letters picked without replacement from {x: 5, h: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6)*1)\/sqrt(3).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 156 = -5*n, 5*n - 4*n + 20 = -2*a. Let j = 30 + n. Suppose 2*g - 16 = -2*g. Solve 0 = -g*v + j*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v + 152 = 34*v. Let b(k) = -1. Let t(c) = -c**2 - 19*c - 4. Let n(a) = -4*b(a) + t(a). Let w be n(v). What is the nearest to 1 in 4, w, -3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1016 (b) -1 (c) -2 (d) -0.3 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2181575454 to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.07212915 and -5.\nAnswer: -5.36064575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4495642um to nanometers.\nAnswer: 449.5642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -808797, -1617606, -2426427, -3235260, -4044105?\nAnswer: -4852962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2145 (base 10) to base 16\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-80)*-40*(-3 + 2) + (-49)\/(-3). Factor 2\/3*r**3 - 10 - u*r - 2\/3*r**2.\nAnswer: 2*(r - 5)*(r + 1)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 - (-1 - 1) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5331687*t**3 - 9096158*t wrt t.\nAnswer: -31990122*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -201002012110122122?\nAnswer: -201002012110122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 0.2 (b) 1\/4 (c) 0.33 (d) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 224, 223, 222, 221?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-12)*-2)\/(22\/18678). Let g = d + 445. List the prime factors of g.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 60.3404 micrograms?\nAnswer: 0.0000000603404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 + -1 - 26\/(-56).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -818\/841 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/14)\/(5\/10). Let q = 0.06 - -4.94. Suppose 2*z + 2*g = g + 5, 3*z = -g + 8. Which is the closest to o? (a) q (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3344, 3328, 3312, 3296, 3280, 3264?\n\"Answer: -16*n + 3360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20 + 12)*3\/(-6). Let r be 1 + -3 + -2 + 4. Put r, q, 3 in increasing order.\nAnswer: r, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = -2*a - a. What is the smallest common multiple of 9 and a\/(-10) + 18\/45?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 1)\/6*12. Let r(v) = -v - 2. Let a be r(-5). Suppose a*q = -b + 24. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 69\/2 of a tonne?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1. Let t(z) = 2*z - 7. Let q = 523 + -524. Calculate q*t(h) - 3*v(h).\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 3 - 3)*(-2*o - 14 + 14) + 257 - 257 - 23*o)*(-o**2 - o**2 + 0*o**2) as u + j*o**2 + t*o**3 + p*o and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/8)\/((11\/10)\/(4510\/1025)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 990, 1967, 2934, 3885, 4814?\n\"Answer: -y**3 + y**2 + 981*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288711 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {n: 3, s: 4, m: 1, l: 1, b: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 4*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1*((-5)\/((-195)\/(-126)))\/(13086\/(-37804)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3891 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636, -6435, -14420, -25579, -39900, -57371, -77980, -101715?\nAnswer: -128564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(117) - (-2 + sqrt(117))) + (sqrt(117)*-1 + sqrt(117))*-5 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37143 + 53?\nAnswer: 37196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7844572?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5559518586.\nAnswer: 2, 3, 283, 3274157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u - 2*z - 1, 0 = 5*z + 25. Let r = u - 7. Suppose -3*n = r*f - 13, -4*f + 0 + 7 = -n. Solve 13 = 3*b + n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let l(q) = q**2 + 5*q + 1. Let k be l(-4). Let c(w) = -w - 2. Let f be c(k). Solve r*s + 6 = -s + 3*p, 0 = -4*s - 3*p - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(4 + (-35)\/10). Let s(j) = 10*j + 1. Give s(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 252, 355, 472, 609, 772, 967, 1200?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**(-6)*v))\/(v*v\/(v*v\/(v\/v**(1\/10))*v)))\/((v**(-1\/6)*v)\/v*(v**(-1\/7)*v)\/v))**24)**(1\/28) assuming v is positive.\nAnswer: v**(-1384\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/440 and -11\/179920.\nAnswer: 1979120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*j = -0*l - 6, 0 = 2*l - j + 5. Are 2\/11 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 144 = o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62518983749\/13637928429 - -282348\/143239. Let b = y - -2\/10579. Let t = -1863\/4 - -457. Find the common denominator of t and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0 (c) 5\/2 (d) -2.226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 655788 and 374736.\nAnswer: 2623152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21535108 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1193 - -2050. Let l = 876.68 - a. Let q = -20 + l. What is q rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 11 + 24. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 29*h**4 - 7*h**3 - 19*h**2 + 7*h. Let a(w) = 15*w**4 - 3*w**3 - 10*w**2 + 3*w. Let v(r) = 7*a(r) - 3*s(r). Find the third derivative of v(j) wrt j.\nAnswer: 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2267026 + 32267026 = -2*p. What is p rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11850.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86.999413 - -87. What is b rounded to five decimal places?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 - 341301*a + 341298 = 0. Calculate a.\nAnswer: 1, 113766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from evldldkeelkdp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 5*o**2 - 12*o - 9. List the prime factors of i(-5).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5406 = 2*g, -3*g = -5*k + 482 - 8595. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:07 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.407, -3, -0.25, 0.04, 8 in decreasing order.\nAnswer: 8, 0.04, -0.25, -3, -3.407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -2 (b) -3 (c) 4\/3 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q**3 + 3*q)*(-13*q**2 + 7*q**2 + 9*q**2 + q + q**2 - q + (-2*q + 7*q - 2*q)*(0 + 0 + q)).\nAnswer: -14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13373028 to the power of 1\/2, to the nearest integer?\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 177901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i - 19*i**2 + 8*i**2 - 16*i**2 - 60*i to the form d + u*i + t*i**2 and give u.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*a - 100 = -696*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Suppose -3*k - 415 = -8*k - 5*z, 2*k = -4*z + 164. Let o(u) = 3*u - 84 + k. What is g(o(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.3 (b) 0.2 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -40, -79, -134, -205?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -1 - 3) + 0 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2682, 2691, 2872, 3357, 4278, 5767, 7956?\n\"Answer: 22*q**3 - 46*q**2 - 7*q + 2713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8250058*c = 8250042*c - 368 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w**2 - w**2 + 5*w**2)*(0 - 3 + 1) - w - w**2 + w)*(2 + 2 - 3) + (-2*w + 3*w - 3*w)*(2*w - 2*w + 2*w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1475 by 262324.\nAnswer: 1475\/262324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3273 + 7479 = 16*y. Let s = y - 651. What is the remainder when 55 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6982.\nAnswer: 2, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*t**2*u*z**2 + 8*t**2*u + 4*t*z**2 + 192*u*z**2 - 3*u wrt t.\nAnswer: -76*t*u*z**2 + 16*t*u + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 344*f - 5 + 793*f as w*f + d and give w.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2266894, 2267237, 2267580, 2267923, 2268266?\nAnswer: 2268609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22069*-14\nAnswer: 308966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5aa4 (base 12) in base 14?\nAnswer: -3a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7926, -13566, -19198, -24822?\n\"Answer: 4*j**2 - 5652*j - 2278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.734612 micrometers in meters?\nAnswer: 0.000000734612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -16*v - 738. Calculate i(-45).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38026, 38160, 38350, 38602, 38922, 39316, 39790, 40350?\n\"Answer: j**3 + 22*j**2 + 61*j + 37942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63673 + 64456 - 299*f - 119367 wrt f?\nAnswer: -299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 921636 divided by 6\nAnswer: 153606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 8534.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 1 c when three letters picked without replacement from {q: 3, s: 4, c: 1, y: 1, r: 6, t: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -23 + (-80080)\/33165 + 6\/(-81)*-6.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.8. Let s = -9 + 7. Put s, t, -2\/11 in ascending order.\nAnswer: s, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13630 - 9587. Is i a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u + 3. Let a(q) be the first derivative of -17*q**2\/2 + 6*q - 46. What is -6*a(d) + 13*v(d)?\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13238 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - 2\/(-4). Let h = 17 - m. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 432 = -22*m. Let l(s) = -2*s + 3. Let h be l(3). Put h, -1, m in increasing order.\nAnswer: m, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {r: 3, s: 1, p: 5, x: 4, d: 1}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295181795 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 4*n**2 - 9. Let w(p) = 2*p**3 - 7*p**2 - p - 18. Let r(q) = 5*j(q) - 2*w(q). Let k be r(6). Solve 2*t + a = 1, -k*t + 2*a = 18 - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -j + 2, 0 = -2*i - 0*i - 2*j - 8. Let x = i + 9. Let d be (76\/2)\/2 - 1. What is the greatest common factor of d and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 + t**2 - t. Let u(b) = -2*b**3 + b**2 - b. Determine 3*k(h) - 4*u(h).\nAnswer: -h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4*(7\/(-21))\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -14*r. Let k(c) = -52*c**2 - 36*c + 4. Give o(k(g)).\nAnswer: 728*g**2 + 504*g - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**2 + 0*m**3 + 0*m + 1\/8*m**4 + 0. Let o(u) = -4*u + u + 4*u. Determine f(o(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*r + 9, -2*u = -6*u - 4*r - 12. Let f = -8 - u. What is the units digit of (f\/(-6))\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56097350 - 1.1\nAnswer: 56097348.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**5 + u**2\/2 - 12*u - 49. Differentiate h(a) with respect to a.\nAnswer: 20*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4155824.3 rounded to the nearest ten thousand?\nAnswer: -4160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 145*u + 986. Give k(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -3, 0.2, -219258?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 514487.\nAnswer: 2572435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(14\/4 + -4). Solve -6*u - n*v - 20 = -u, 0 = 5*u + 5*v + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 34*y + 234 = 0. Solve -4*p - 4*g = -10 + 26, 5*g = 2*p - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * 40\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 6. Let s = 46 + -47. Let v be s + 5 + (2 - 3). Sort 4, k, v, 2 in descending order.\nAnswer: 4, v, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*(sqrt(156)*-1*-1 - sqrt(156))*-4)\/((sqrt(960)*-4)\/(sqrt(35)\/sqrt(63))) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**5 + 3502*r**4 - 3*r**3 + 50425800*r wrt r.\nAnswer: 120*r**3 + 42024*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46210127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1418 - 1417.8. Which is the closest to -1? (a) n (b) 5 (c) -4 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2\/7*t**2 + 120\/7*t - 1800\/7 = 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 74*n + 1296. Determine w(-50).\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6475 = 9*k - 6304 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 141*k + 187. Let l be a(35). What is the greatest common factor of 26 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 23*r + 184. Let w be n(16). Solve 24*p = 6*p + w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:14 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.1 + -23.1. Let t = -0.6 + -0.4. Sort x, t, 1.\nAnswer: x, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 22464*t.\nAnswer: 4*t*(t - 5616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - -68.4. Let d = v - 70.01. Let y = d + -2.02. Round y to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 - -105.9. Which is the nearest to 0.1? (a) i (b) 2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 1)*(12*t + 5 - 5)*(5*t - 2*t - 4*t).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c. Let q be (6\/4)\/((-14)\/(-28)). Let w(h) = -h. Give q*w(s) - 3*u(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and 10687?\nAnswer: -14961.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 18. Let f = 43 + -9. Calculate the remainder when f is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.55 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1122122 (base 5) to base 6\nAnswer: 233531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 48 = 4*f - 6*w, -4*w = 0. Solve 4*i - i - f = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1663.8 * -69.73.\nAnswer: -116016.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5 + -b?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = 6. Suppose -3*j - 5*w = -8*j, -3*j = -4*w + 3. Suppose 4 - 13 = -j*q. Solve -o*b = q*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5102336.\nAnswer: 2, 19, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -5, 0.13, 58524, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53664 + 11660 - 2*x - 4574.\nAnswer: -2*x + 60750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 3*s - 1. Let o be d(-1). Let l be 1 + 14 + (-3 - o). What is the highest common divisor of 99 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/5 + 6*m**2 - 156*m\/5 + 168\/5.\nAnswer: 3*(m - 2)**2*(m + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4771 and 8265574.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146 - 83 - 6*s + 374 to o + t*s and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/15 + 90*c = 0. What is c?\nAnswer: 0, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eer when three letters picked without replacement from ffffeeffffffrfefeffe?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 199 and -0.00134.\nAnswer: -0.26666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 2*i + 2*i)*(-7*i + 7*i - 6*i) - 2*i + 21*i**2 + 11*i**2 - 113 - 28*i**2 to the form a*i**2 + c + v*i and give c.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (21 - (35 + -5))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrry when four letters picked without replacement from {y: 4, r: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 87790*l**2 - 263388*l.\nAnswer: 2*l*(l - 3)*(l + 43898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onln when four letters picked without replacement from {l: 5, n: 2, o: 1, j: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d + q + 19, 2*d - 14 = 5*q. Let p = 55 + -53. What are the prime factors of p\/(-6) + (-34)\/d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4773282 by -6.\nAnswer: 795547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 57508 and -14.194.\nAnswer: 57493.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10472*r - 10475*r = -6, r - 14 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**4 - m**3 + m**2 + m + 1. Let q(a) = 7*a**4 - 9*a**3 + 7*a**2 + 9*a + 9. Let w(i) = -18*g(i) + 2*q(i). Find the third derivative of w(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/(-168)*(-32373)\/(-396)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1533 + -13795\/9. Let z be (18\/12)\/((-9)\/4). Which is the nearest to z? (a) -2\/11 (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30, 1, -3, 4.\nAnswer: -3, 1, 2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 350333, 350368, 350403, 350438, 350473?\n\"Answer: 35*h + 350298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22624 is divided by 595?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3088*w - 3085*w = -5*f + 125, 0 = -16*w - 5*f + 775 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6845 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let a(b) = 3*b**2 - 3*b + 2. Determine a(y) - 3*k(y).\nAnswer: 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12*d + 5. Calculate the remainder when 56 is divided by v(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010021119 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 4, -5, -56.\nAnswer: -56, -5, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(-2\/37)\/b))**(-1\/33))**(1\/11) assuming b is positive.\nAnswer: b**(-76\/13431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddxxxdxdxd.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*k + 556*k + 5*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 7. What is the least common multiple of 10 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1936048 and 9196228?\nAnswer: 36784912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/840*8)\/(1\/6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11753012 is divided by 94024?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.31 micrograms to grams.\nAnswer: 0.00061631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 2\/18905 (c) 1.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (9 - 29)\/(-5). Solve 3*i + 2*l + w = 0, -3*i + i - 3*l - 7 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 2. Let m = 165 - 165. Suppose m*u = -q*u. Solve 4*b - 4 = -c - u*c, 5*b - 4*c + 16 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {j: 2, a: 3, f: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let l(s) = s**2 + 27*s - 1. Let y(o) = -k(o) - l(o). What are the prime factors of y(-14)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-504)*(-3624)\/(-1963).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.89, 0, -1\/12, -2\/7 in increasing order.\nAnswer: -12.89, -2\/7, -1\/12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 1632 = 96. Calculate the remainder when w is divided by 54.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*q = -226*q + 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 + -166. Solve -2 + 17 = -v*n + 4*u, -n - 3*u = -21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7645128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - f + 27, 2*d - 2*f - 18 = -d. Let t = -894 - -898. What is the lowest common multiple of d and (-14)\/t*1248\/(-364)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfauulw. Give prob of sequence uw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = -4*t - 1, -g - t - 3 = 0. Let m be 18\/g + 5 + -3. Which is the smallest value? (a) 2\/15 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -481496 + 481499. Let o = -1.94 + 2. What is the closest to -1\/4 in 4, o, m, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibiibb. Give prob of sequence ibbi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + 2*b**2 + 0*b)*(46 - 46 - 6*b) + 0 - 4*b**3 + 0)*(-1 + 18*b + 1).\nAnswer: -288*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x - 132. Let l be v(-9). Suppose -q - 4*q - 4*u + 4 = 0, 4*u = q - 20. Solve 5*d - 3*d = 5*f + l, -4*d + 12 = -q*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 74*j**2 - 765*j - 14120. Calculate s(-32).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((225\/30)\/((-74)\/370))\/(3\/(-8)*-2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u**2 - 450*u + 2. Let m be g(-45). Solve 2*r = -m, 0*k + 3*k - r - 13 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-42)*11\/(-1716)*42?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8*t + 4*t - 12 = 0, -3*t = -n + 15. Suppose -h + 6*h = -3*k + n, 21 = 2*h + 5*k. Solve -4*p = -h*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q + 2944 - 14*q - 2*q**2.\nAnswer: -2*q**2 + 2944","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmjhjwmmmwjhhhhuhu. Give prob of picking 1 u and 1 h.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = -3*g, g + 14 - 7 = 2*w. Suppose w*l + 7 = 9*l. Put -6, 2, l in decreasing order.\nAnswer: 2, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9*3*(-462)\/(-44)*-3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-1 + 1 + -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*u = 1022*u - 8845 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + w = 37, 4*d - 2*w + 27 - 1 = 0. Let g be (10\/25)\/(d\/(-10)). Put 12, 1\/4, g in ascending order.\nAnswer: 1\/4, g, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65929510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + q = -78, -4*q - 74 - 319 = -5*b. Let z = 22 + 14. Suppose 3*j - z = 3*m, 4*j + 2*m + 2*m = 24. Calculate the greatest common factor of j and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887144 = -152*q + 3423424. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 1\/19, -2\/9, -4 in increasing order.\nAnswer: -4, -2\/9, -0.16, 1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -17) + (2 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 790519423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 189 = -5*c, -h - 219 = -4*h + 5*c. Let o = -52 + h. Calculate the remainder when ((-25)\/(-10))\/(2\/72) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = -3*u - 3*r + 1229, -2*r + 1693 = 5*u. Which is smaller: 334 or u?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -3a27?\nAnswer: 3a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1034.819 to the nearest integer.\nAnswer: -1035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r**(-6))\/(r\/(r\/(r*r\/r**(4\/3))))**(-7\/3))**35 assuming r is positive.\nAnswer: r**(3010\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1642\/3 - 533. Calculate the common denominator of 25\/8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (45 + -18) - -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 i, and 1 x when four letters picked without replacement from {a: 1, x: 5, j: 3, i: 2, l: 3, t: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let o(t) = -t**2. Let i(f) be the first derivative of f**2\/2 - 8*f + 14. Let u be 10\/(2\/3 + 56\/42). Let j be i(u). Give j*o(k) + 2*h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 150. Let v = -60 - b. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24 - 0.23999952. What is c rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4215*f + 4 - 4 - 1334*f.\nAnswer: 2881*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/7 + 8517618*d**2\/7 + 9068748343248*d\/7 + 45343528776040\/7 = 0 for d.\nAnswer: -2129402, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:49 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*s**2 - 49*s**3 + s + 39 - 56*s**2 wrt s?\nAnswer: -147*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11656.\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -113. Let o(h) = -8*h - 11. Let a be o(n). Sort 4, a, 0, 0.05 in descending order.\nAnswer: a, 4, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2631*g**2 + 17*g**3 + 606*g**2 + 612*g**2 + 799*g**2 + 614*g**2.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-892)\/(-12))\/(14\/12 + -1). Let g = 0 + 8. Suppose 3*s + 2*v - g = 270, v + c = 5*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((8\/(-4))\/30)\/(1\/3))\/(67\/10385)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240822 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 138*d + 419. Let b be p(-3). Solve 2*w + 11 = -m, 0 = -2*w + b*m + 11 + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5\/2 - 603*a**4 - 20175*a**3\/2 + 22591*a**2 = 0.\nAnswer: -1189, -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 46*g - 246. Determine q(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 times -14?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -14*b - 56. Let m be u(-13). Suppose 134*g - m*g = 2416. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 + 5*g - 11. Calculate v(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0*b - f + 121, -3*b - 5*f + 164 = 0. Suppose -2*h + 5 = -9. Calculate the greatest common factor of h and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*n*q - d*n - d*q**2 - 12*d + 44*n*q**2 + 18*n + 318*q + 5 wrt q.\nAnswer: -2*d*n - 2*d*q + 88*n*q + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202010121111 (base 3) in base 8?\nAnswer: 5441746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.41. Let j = 0.03 - f. Let i = 0.01 - j. What is i rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 9*x - 96 + 362 - 87 - 94.\nAnswer: 9*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2648134820965 take away -252?\nAnswer: -2648134820713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588336 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9113*w**5 - 378*w - 2 wrt w.\nAnswer: 182260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yllv when four letters picked without replacement from {v: 1, y: 1, l: 2, b: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1962 - 2182 + 294 + 394)*(2*j - j + 2*j)*(-5 - 4 + 3) as z + u*j and give u.\nAnswer: 62208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91501?\nAnswer: 37, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:50 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*i**3 - 452*i**3 - 61*i**3.\nAnswer: -664*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-15)\/(-9) + -1). Let j = -12605\/894 - 10\/149. What is the common denominator of j and z\/(60\/178) - 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, -59, 3, -1 in descending order.\nAnswer: 137, 3, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0478 + -17.9522. Which is the nearest to s? (a) -3 (b) -4\/3 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 5. Let d = -12 - -14. Suppose d*o = -1 + 5. Let r be (-25)\/(-5) + (-2)\/o. Determine v(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 176\/(-1496) - 2*22\/204. Which is the nearest to -14? (a) 0.5 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*m + 68, 4*p = 5*m - 31942 + 32042 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - ((0 - -2) + -1)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383763657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-45)\/(-24))*777\/(-70)*(-400)\/(-96).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -129 (base 13) to base 8\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + sqrt(78) + sqrt(78)*-1)*3)\/(sqrt(30)\/(sqrt(10)\/sqrt(2))) + 0 + 2)*-2.\nAnswer: -6*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32407526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1062.1 (b) -1.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 7*c + 8*c)*(4 - c**2 - 3 + 0)*(3*c + 5*c - c) - 3 - c**4 + 3.\nAnswer: -29*c**4 + 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -319 and -0.9476.\nAnswer: 302.2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413134?\nAnswer: 2, 17, 29, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - 3) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -17, -1, 4, -6 in ascending order.\nAnswer: -17, -7, -6, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*-14 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 2. Let a(s) = 3*s - 3. Let p(i) = -3*a(i) + 4*y(i). Let k(b) = 7*b + 59. Let n be (-79)\/9 + (11\/(-9) - -1). Let d be k(n). Give p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64579, 129159, 193739, 258319, 322899, 387479?\nAnswer: 452059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 126*k - 130. Let z be q(1). Which is the nearest to z? (a) 87 (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 3, -2\/9, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17046 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13283 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/32 + (-1)\/(-4). Suppose i*l - 36 = -l. Suppose 5*u = 3*u + l. 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: 5220 divided by 5220\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from ttxxxxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1175 and 126231?\nAnswer: 148321425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 509*t. Let v(a) = a**2 - 8*a + 16. Let s(z) = -z**2 - 10*z + 20. Let g(q) = -4*s(q) + 5*v(q). What is g(d(u))?\nAnswer: 2331729*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208 + 205. What is the units digit of (5 + (-1 - 2))\/(p\/(-642))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*n + 28*d - 25*d, -2*n + 2*d - 14 = 4 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2173, 33, 5, -1, -2.\nAnswer: -2, -1, 5, 33, 2173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*sqrt(833) + sqrt(833))**2 + 3)*-6 + (((sqrt(1700) + (sqrt(1700) - (sqrt(1700) - 2*sqrt(1700))))*-5 - sqrt(1700)) + 4 + 4)**2.\nAnswer: -2560*sqrt(17) + 435247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4*(-8)\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 281\/8 + -35. Which is the nearest to -1? (a) 0.3 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - (-4 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-seven fifths of a meter?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/26 (b) 0 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-4))\/(9\/36). Let o(r) = -r**2 + 7*r - 4. Let v be o(i). Solve 0 = 4*x + q + 6 + 6, -5*x - 3*q - v = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88.666 times -36\nAnswer: -3191.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1170625850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*g - 767 = -793, -7*g + 8*g - 7 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*(3*sqrt(304)*2 + 0 + 4)*1)**2 + -4).\nAnswer: -1183668 - 20736*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ossa when four letters picked without replacement from osas.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 406 + 63 = 0. Let g = p - -132. What is the greatest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(5*sqrt(3)))\/(sqrt(200)\/sqrt(10)).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 67?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 45. Let p be (x - (-11)\/(-4))*-4. Suppose 171 + p = o. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/2 + 2. Is 0 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.300015. What is x rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1633554562?\nAnswer: 1633554600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/126)\/((-2)\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*a + 270*a = 179*a + 9919 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxccjcccccccxjcccjcc. What is prob of sequence jcj?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*-3*-2 + (sqrt(17) - ((sqrt(136)\/sqrt(8) + sqrt(17))*3)**2)*2.\nAnswer: -1224 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2108, 1667, 490, -1789, -5536?\nAnswer: -11117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 2*v**6\/35 + 10*v**5\/7 + 17*v**4\/3 + 200*v**3\/21 + 8*v**2 - 4*v. Let b(m) = 0. What is m?\nAnswer: -14, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -877 - -914. Solve 13*q = 11 - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 781 * -0.5\nAnswer: -390.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-2) + (-102)\/17. Solve c = h - 2 - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*(-1 + 35 + -6). Let p be (-12)\/q*13\/(182\/98). Solve -k + p = -4*x - 7, -10 = 3*x - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1258 - -2185. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 15. Let v = -12 - -1. Let u = v - d. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1, -24, -4 in increasing order.\nAnswer: -24, -4, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13308045 is divided by 218163.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38 - 78 + 40 - 5*b**2 + 20*b + b**2.\nAnswer: -4*b*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 87. Let n = r - 27. Suppose -5*c - 581 = -2*d, n*d = 4*c - 2*d + 460. Round c to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2219, 4908, 7597, 10286, 12975, 15664?\n\"Answer: 2689*n - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 92 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 + -111. Suppose -i = 2*c + w, -4*c = -7*i + 3*i + 116. Let a be (19 + c)*(-15)\/2. Calculate the highest common divisor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2918680 divided by -40.\nAnswer: -72967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-148)\/3 + -4)\/((-2)\/6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 + 7 + (-2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21600563?\nAnswer: 29, 37, 41, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -402 (base 7) to base 4\nAnswer: -3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zayzc. Give prob of sequence zycz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -5*d**4\/8 - 2*d**2. Let g(l) = 2*l. Suppose 150 = -5*n + 8*n. Let r(o) = n*g(o) + 6*m(o). Let x(b) = 2*b. What is r(x(v))?\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (0 - 9)) + (2 - -18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-9)\/(-2)))\/((-13)\/(-9))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 0, 4, -12, 2, 34 in decreasing order.\nAnswer: 34, 4, 3, 2, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/38, -0.07, 1580, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)\/i**(-2\/49))\/(i**(-17))**(4\/7) assuming i is positive.\nAnswer: i**(809\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -6, -4, 16, 0 in decreasing order.\nAnswer: 17, 16, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -t + 4340, -i - 178 = -2*t - 1254. Let a = i + -479. Suppose 34*f = 39*f - a. What is the remainder when f is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220021 + -1212?\nAnswer: 211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14407098.9 from 0.1.\nAnswer: -14407098.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475289, 475262, 475227, 475190, 475157, 475134, 475127, 475142?\nAnswer: 475185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9604, -1\/4, 0.3?\nAnswer: 9604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a15705 (base 15) to base 4.\nAnswer: 131032303232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3*a, w + 3*a - 6*a - 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, g: 1, q: 6, f: 3, i: 4, h: 1}. What is prob of sequence xx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110381045 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/2160 and 103\/3960.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axaaaaxx. Give prob of sequence xax.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/12 - w**4\/6 + 9*w**2. Let v(k) = -4*k**2 - 3*k. Suppose -13*b = 20 + 32. Give b*v(q) + 3*y(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 166, 246, 308, 346, 354, 326, 256?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 28 - 136. Let a = v - -14. Suppose -2*m = a*m - 632. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - t + 1 + 1, 2*t - 4 = -2*d. Solve 0 = 2*h - d*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255)\/153*(-21)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k. Suppose -12*i + 16 = -15*i + 4*b, 4*i = -2*b + 8. Let m(g) be the third derivative of -g**2 + 0*g**3 + 0*g + 1\/12*g**4 + i. Give j(m(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301887 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**2\/2 - c + 3. Let d(j) = j**3 - 4*j + 1. Let g(v) = d(v) + 4*h(v). What is the derivative of g(z) wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2095.98283 + -2096. Let m = l - -308.31717. What is m rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let i(o) = -2543741*o. Determine c(i(v)).\nAnswer: 5087482*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -15\/4474751 (b) -0.2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + w + 507 = 0, -5*t + 8*t - w - 1515 = 0. Suppose -143*d - t = -150*d. Suppose 2*l - 6*l + 16 = 0. Calculate the highest common divisor of d and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 r, and 1 f when four letters picked without replacement from ycrcccccqccfyyqcrr?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -34.5. Let w = -30.6 + j. Let d = w + -6.6. What is d rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 19. Let t be i(12). Let g = 57 + t. Is (538\/4)\/(13\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870596771 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, and 1 p when three letters picked without replacement from przxrfpze.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iha when three letters picked without replacement from {l: 6, m: 5, h: 2, i: 5, a: 1}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6)*0\/4. Let s = 4 - v. Let f be (-14)\/(-21) - s\/15. Which is the second smallest value? (a) 1\/2 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/(1\/(-10)). Let o be -4 - (-5 + (p - -2)). Let n(a) = 20*a**2 + 1. Let h be n(-1). Solve o*c - 5 = -h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = q + 4 + 15, -4*q + 114 = 2*f - 30*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 11 - 27)*(6*f - 6*f + 5*f**3) + 1 + 6*f**2 - 11*f**2 + 2*f**3 + 3*f - 4*f as j*f**3 + o*f**2 + u*f + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let c(t) = 9*t - 8. Let u(w) be the first derivative of 3*w**2 - 5*w - 2. Let b(r) = -5*c(r) + 8*u(r). Determine z(b(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 454618*t - 511800 with respect to t.\nAnswer: 454618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2*(-7)\/(-2) - (-26)\/(-14)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d + 228. What is t(-33)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.94 - 0.94. Let w = 46537\/31 + -1501. Let h = w + 81\/62. Which is the smallest value? (a) h (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 1)*(0 + 1 + 1)*(97 - 156 + 74)*(s**3 + 0*s**3 + 0*s**3) to d*s + c*s**3 + q*s**2 + x and give c.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/7 or -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from zzzzzmzz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 20. Let i be (1\/(-2) + u)*8. Factor -5*g**2 + 8*g + 3*g**3 + g**2 - 11*g**3 + 4*g**i.\nAnswer: 4*g*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4\/5, -7, 0, 0.7668, 0.213?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-42) + (-52)\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 10. Let o = -10 + u. Which is the third biggest value? (a) 4 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2 + 388540778*l - 388540776 = 0.\nAnswer: 1, 194270388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8929605 days to hours.\nAnswer: 21.431052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4146*a - 78729. Calculate f(19).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 - -95. Let u(t) be the second derivative of t**3\/2 - t**2 + 2*t. Calculate u(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**3 + 533*m**2 + 627*m + 265. What is v(90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*a + 101*a**3 - 88*a - 196*a**3 + 39*a + 101*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101121231111 + -3?\nAnswer: 101121231102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(k + 0*k + 0*k) + 2 - 6 - 64*k + 3.\nAnswer: -62*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.4059 - 7.37. Let k = 0.4641 + o. Which is the third biggest value? (a) 4\/11 (b) k (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + 2 + 0 + -4 + sqrt(8)\/sqrt(4)*2 + 1 + sqrt(2) + (sqrt(4)\/sqrt(2))**2.\nAnswer: 1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from gydsgy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2058*p - 12410. Determine w(-6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-21))\/(4*(-4)\/(-8)). Let g = -7 + 2. What is the nearest to -1 in g, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*a + 3*a - 33 = 0, -5 = -5*l - 5*a. Suppose -34*h + 104 = -8*h. Calculate the least common multiple of l and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42222, -42217, -42212, -42207?\n\"Answer: 5*f - 42227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38920 is divided by 38909.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136844 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 16*u - 8. What is k(12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 21*u**2 - 16*u + 20. Let t be o(0). Solve -273*l + 5*s - t = -278*l, 5*l = -3*s + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -4 - 5) + (-2 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -48, -1\/6?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166399.014 rounded to the nearest 10?\nAnswer: 2166400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32858750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 1. Let f(v) = -6*v**3 + v**2 - 11. Let h(u) = -5*d(u) + f(u). Let s(i) = 2*i**3 - i**2 + 7. Give 5*h(w) + 4*s(w).\nAnswer: 3*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 + 3*t**2 - t - 1. Suppose 10 = 3*m + z, 2*z + 5 = 1. Give p(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let v(j) = -j**3 + 7*j**2 + 7*j + 10. Let g be v(8). Let s(z) = 2*z - 3*z + g*z. Calculate p(s(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191.66 + 192. Let l = 0.66 + z. Let f = -2 + 1.8. Which is the closest to l? (a) f (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 3*i**2 + 3*i**2)*(0*i + i + i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m - 16*m = 16*m + 24888. List the prime factors of m.\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4687 + 4686.4. Let t be (1\/1)\/((-6)\/(-4)). What is the second smallest value in 2\/7, 1, t, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1680*14 - (358\/(-840) + (-6)\/(-42))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 1. Let r be i(-6). Let f = -8 + r. Let d(z) = -4*z + 1 - 4 + z**2 + z. Give d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22394 + 29147. Is y a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:42 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-22)\/(-4) - 5)*342. Calculate the highest common divisor of 3762 and o.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxwwweenen. Give prob of sequence nwe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -982*w - 162030. What is s(-165)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + -2 + (2 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/4 + (-4)\/8. Let z(o) = -6*o**3 + 6*o**2 + 8*o + 7. Let d(l) = -7*l**3 + 6*l**2 + 9*l + 8. Let m(k) = -5*d(k) + 6*z(k). Is 10 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p - 10 + 4*p + 59*p + 10.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - b**2 + 3*b**2 + (-472*b + 2200 - 2200)*((-b + 4*b - b)*(3 - 1 - 3) + 3*b - 2*b - 2*b + (-3*b - 3*b + 5*b)*(-4 + 5 + 1)).\nAnswer: 2361*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 4. Let f(x) = -x + 3. Let h(q) = -q**2 + 5*q - 1. Let m be h(4). Let g(c) = m*n(c) - 4*f(c). Let l(b) = -8*b**2. Determine g(l(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -60*p**2. Let g(a) = -a**2 - 5*a + 5. Let t(w) = w - 1. Let v(c) = -g(c) - 5*t(c). Give v(d(b)).\nAnswer: 3600*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6381 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 0.2, 6\/53?\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/102 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, -4, 1, -2, 1047.\nAnswer: -17, -4, -2, 1, 3, 1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1404452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47265, 94464, 141663?\nAnswer: 188862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 5. Suppose -1 - 9 = -x*v. Calculate the lowest common multiple of 9 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 4286*b - 1169891. Determine h(1297).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611687334.\nAnswer: 2, 3, 101947889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 12 + 7 + 5. Let b(x) = -x. Let g(a) = -24*a - 2. Let m(p) = -4*b(p) + g(p). Determine h(m(l)).\nAnswer: -40*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4\/3)\/b)**(3\/25)*(b\/(b\/(b*b\/(b\/b**(-2)*b))))**21)**(-2\/79) assuming b is positive.\nAnswer: b**(2108\/1975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/60*3\/(27\/15)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -1069*y**4\/2 - 10761*y**2\/2 - 7402. Find the second derivative of p(n) wrt n.\nAnswer: -12828*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 10. Let d be z*(4\/(-6) - -2). Let o = -218 - -2836\/13. What is the closest to -1 in d, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 1452 + 1400 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*u - 1292, u = 2*u - 4*g - 664. Suppose -4*q = n - 2634, 3*q - 2*q - 3*n - u = 0. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -48, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 15. Solve 0 = -3*a + f*q - 35 + 4, 3*a + 2*q - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {c: 6, h: 2, q: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876 + 1328 = -2890*i + 2948*i for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdbmvdmxbvdd. What is prob of sequence dv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-275)\/(-30)))\/(4\/5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 = -0*c - p, -2*c + 8 = -3*p. Suppose u - c = -4. Solve u*l + 20 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)*d**6)\/(d**1\/(d*d**5)))**(-48) assuming d is positive.\nAnswer: d**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*h**3 + 3 + 0*h**3 - 12*h**3 wrt h?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*18\/45 + 5. Let q(n) be the third derivative of 7*n**4\/24 - n**3\/6 - 3*n**2. Is q(i) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 4:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 2\/31 in descending order.\nAnswer: 7, 2\/31, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 63*f + 316. Let c(x) = -15*x - 81. Determine -9*c(y) - 2*u(y).\nAnswer: 9*y + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:30 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 16*z**2 - z + 2. Let c be o(-16). Let y be 12\/270*5*9. Solve 0 = y*i - 11*i - c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-55) + (-21184)\/(-20) - 11. Calculate the highest common divisor of x and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:06 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let f be 10 - (-3)\/((-165)\/539). Let p be (0 + 2\/8)\/1. Which is the third biggest value? (a) y (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + -12)\/(1 + (-7)\/5). Solve 5*i + v*y + 5 = i, 4*i - 3*y = 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 6*i**2 - i - 3. Let l be x(2). Suppose -12 = a - l*a. What is the least common multiple of a and 10\/(-25) + (-144)\/(-10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 1459 - 139 = 0. Solve -5*o - 3*f = -a, 2*f + 2 = -5*o + 9*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhllqhhp. What is prob of sequence lp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -20*y. Let h(d) = 3*d**2 + 2. Let s(b) = -4*b**2 - 3. Let f(q) = 3*h(q) + 2*s(q). Calculate n(f(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4889 - -5768. Calculate the greatest common factor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192992828 to the power of 1\/4, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14107 - 14051. Calculate the remainder when j is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 142*y**2 - 5*y + 3. Let i(x) = x**2 - 3*x - 10. Let q be i(-3). Suppose -8*h = -q - 0. What is the units digit of p(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2208 and -61\/576?\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.9. Let h = 1.1 - o. Let q = 718 - 714. Which is the nearest to h? (a) -0.1 (b) -2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -3. Put q, 0.02, -1\/5 in descending order.\nAnswer: 0.02, q, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4143471 by 52449.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680 is divided by 1554?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r = -30*r + 247696 + 871643. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -1\/6, 15, 0.5 in ascending order.\nAnswer: -1\/6, 2\/19, 0.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 156*a - 107*a - 828 = 0 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5460422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 + 19 + 23)*(-3*g**2 - g**4 + 3*g**2) in the form c*g**3 + x*g**2 + i*g + u*g**4 + a and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - 1) + 5 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 10*a**5 + 24*a**4 - 2*a**3 - 24*a**2 - 8*a = 0.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -9283 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p - 722 = 82 + 1446 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 3266?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 138 = -2*o - 121, 0 = c + 3*o - 79. Calculate the greatest common factor of c and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 12\/(-30) - -5) + -2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3537.099 to the nearest integer.\nAnswer: -3537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*o = -45808, 5*o = 118*i - 120*i + 30555. What are the prime factors of i?\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooxoxoxooooooxxxoox?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50604 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.304815 rounded to zero decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - b - 28, 3*l + 5*b - 45 = 23. What is the remainder when l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(((-3)\/1)\/(-15)). Suppose m = 3*d - 4. Suppose -3*x - u + 378616 + 461389 = 0, 0 = -5*x + d*u + 1399985. Round x to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6511778 and 94276.\nAnswer: 91164892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -542356 - -3?\nAnswer: -542353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795470, -795492, -795514?\nAnswer: -795536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 12*z + 29. Let g be i(15). Let d(t) = -23*t + 122. What are the prime factors of d(g)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*b*w - 726242*b - 1142*w**2 wrt w?\nAnswer: 68*b - 2284*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -853.7308 + 854. Round v to three decimal places.\nAnswer: 0.269","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Suppose 0 = -b + 5*l + 52, -v = 3*l + 8. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*-12*2262\/52. Suppose 3*n = 5*n + 16. What is the units digit of (m\/(-36))\/(2\/n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*y + 27 = 0, -n - 3*y + 17 = -6*y. Suppose 0 = -5*f - 5*c + n, 3*f - 2*c + 7 = -0*f. What are the prime factors of f\/(-3) + (-41)\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**3\/27 - 4*a**2\/3 - 8*a + 28. Factor m(f).\nAnswer: -2*(f + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776770797 to the power of 1\/3, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-93412)\/(-24) + 22\/(-132)?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -102.48 and -0.2.\nAnswer: -102.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110369357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*t - 19*t + 10*t)*(132*t - 132*t - 9*t**3)*(-2 - 3 + 7) to the form i*t**3 + d + o*t + m*t**2 + b*t**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlzzzlzzzzz. Give prob of picking 1 l and 1 z.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 111*p.\nAnswer: -3*p*(p - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 108.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1127\/(-75) + 214\/8025.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4)\/1 + (-814)\/(-88). Solve 9 = j*v - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6145 - -6181. What is the greatest common divisor of d and 1602?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (78\/(-9) - -1)*-57. Let x(h) = h**3 + 48*h**2 + 200*h - 56. Let q be x(-5). What is the greatest common divisor of q and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104*y - 100*y - 542*y.\nAnswer: -1746*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(165\/45 - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -5\/6, 367, -2\/7 in decreasing order.\nAnswer: 367, -2\/13, -2\/7, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, y: 3, s: 3, r: 1}. Give prob of picking 3 t.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/11)\/h**(-5\/6))**(-7))**(1\/31) assuming h is positive.\nAnswer: h**(-553\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 4*r**3 + 3*r + 1 + 4*r**3 - 6*r**2. Is l(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 17 = 3*o, -4*f + 127*o = 131*o + 36 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-24))\/((-3)\/(-18)) + 39\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -15*i + 13*i. Let l be 6*(i\/8 + 2). Suppose 5*a = o - 28, -3*o + l*a = -0*o - 36. What is the greatest common divisor of o and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, f: 3, q: 1, s: 1, a: 1, y: 4}. What is prob of sequence ys?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-336)\/1740)\/(-7))\/(5*(-56)\/700)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 32, 7\/5, 0.05, 5, 14\/37 in increasing order.\nAnswer: 0.05, 14\/37, 7\/5, 5, 8, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 199*y**3 - y**2 - 23*y + 23. Let s be k(1). Sort s, -5, -12, -2 in decreasing order.\nAnswer: s, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 24\/307?\nAnswer: 24\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -380 (b) -7\/4 (c) 3 (d) 1\/2 (e) -0.4 (f) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -1\/3, 0, 11, -0.01?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1792, 8317, 19218, 34495, 54148?\n\"Answer: 2188*b**2 - 39*b - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 - 75*d**4 - 243*d**3 - 249*d**2 - 84*d = 0. Calculate d.\nAnswer: -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 + z + 1. Let p(d) = 5*d**3 - 1. Give 5*p(j) + 6*w(j).\nAnswer: j**3 + 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 4. Let w(j) = 10*j + 12. Let d(m) = 2*w(m) + 7*x(m). Let a be d(-8). Suppose a - 7 = -3*l. Let c(p) = 7*p**3 - 2*p + 1. Give c(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4 - 177263761*i - 7 + 18 + 177263761*i + 11*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-36)*(-5)\/((-10)\/(-104)). Let p(x) be the first derivative of 1 + 7 - c*x - 18*x**3 - 2 + 14*x**3. Differentiate p(y) wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/50*825\/22*1\/(78\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -311 from -206110.\nAnswer: -205799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 156 = 15*l. Let f(w) be the second derivative of w**3 - 6*w**2 - 2*w. Is 8 a factor of f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141774245 or 141774247?\nAnswer: 141774245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1120 + 1937. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3050.04l to millilitres.\nAnswer: 3050040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 15) + (0 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-32)*(-2)\/(-10)*(-60)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-3.84\nAnswer: -3.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1692*x - 283*x + 1243*x - 371*x + 293*x)*(-2*x**2 + 6*x**2 + 0*x**2) to j + p*x**2 + r*x + v*x**3 and give v.\nAnswer: 10296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1167 + 3.8833. Let g = 248\/7 - 35. Which is the closest to w? (a) 0.5 (b) -13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 17 = -11. Suppose 5*u + 0 - 7 = -m*k, 0 = -5*k - 5*u + 10. Let z(t) = -8*t**2 - 4*t - 5. Let x(y) = 7*y**2 + 3*y + 4. Give k*z(a) + 4*x(a).\nAnswer: 4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(2) - (sqrt(32) + sqrt(2))) + -2 - (1 + 1*sqrt(2))))**2.\nAnswer: 480*sqrt(2) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575*k = 577*k - 4. Determine w, given that 3*w**3 - 1 - 16*w - k*w**4 - 5*w**3 + 304*w**2 + 1 - 284*w**2 = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 2\/13, -1\/8.\nAnswer: -1\/8, 2\/13, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a**2 - 3 + 14*a**2 + a + 2*a + 9*a**2 + 22*a**3 - 35*a**2. Determine q(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1110, 1118, 1140, 1182, 1250, 1350, 1488?\n\"Answer: a**3 + a**2 - 2*a + 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-58 - 5))\/((-13 + 7)\/6).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.838 - -0.088. Let l = s + -1.25. Let a = 2 + -2.2. Is l greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.526 - -5.626. Which is the nearest to j? (a) 0.3 (b) -3\/5 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*v = 3*v + 148, 0 = -v - 2. Let d = 55 - 35. What is the highest common divisor of o and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 194270*a + 9435208225.\nAnswer: (a + 97135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4810\/740)\/((-1)\/(-17)) - 10\/(-4). Calculate the highest common factor of t and 6441.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -57a0b?\nAnswer: -57a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/6 - 11*y**3\/6 - 11*y**2\/3 + 208*y\/3 - 64.\nAnswer: (y - 8)**2*(y - 1)*(y + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -19. What is the closest to -0.1 in 2\/7, -1\/5, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128834 is divided by 340.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + (sqrt(847) - (4 + sqrt(847) + -3 + sqrt(847))))**2 - sqrt(847)) + 4.\nAnswer: -11*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -11.1. Which is the nearest to z? (a) -1 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -613.2 - -610.2. Let a = 0.4 + 0. Put -0.01, a, p in descending order.\nAnswer: a, -0.01, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 2 - 2 + (-4*k - 109*k - 103*k)*(14 + 4 - 6).\nAnswer: -2597*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69554759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -277*k**2 + 185*k**2 + 94*k**2. Let c(q) = 656*q - 1. What is c(f(i))?\nAnswer: 1312*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -11. Let n be (72\/y)\/(10\/25). Calculate the greatest common factor of 63 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7740 and 7731 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*(-97)\/(5820\/2790)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 27*b + 102. Calculate a(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/((-286)\/(-66)). Let w(q) = q - 2. Let h = -7 - -14. Let x be w(h). What is the second smallest value in y, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 10. Let d(a) = 3 + 2*a + 30 - 4*a - 4. Let y(l) = -3*d(l) + 8*i(l). Let p be y(-6). Sort 6, p, 3 in descending order.\nAnswer: 6, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = -2*i + 48. Suppose i*j + 4*j - 3703 = 0. Is 62 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004846115 to seven decimal places.\nAnswer: 0.0004846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 4. Determine a(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3216, -3308, -3434, -3612, -3860, -4196, -4638, -5204?\nAnswer: -5912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -728872099 divided by -2?\nAnswer: 728872099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266451769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fztfibziif. What is prob of picking 1 b, 1 f, and 1 i?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5396.8 - 5397. What is the closest to x in -1\/2, 6, 4\/7, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + w**2 + 0*w**2 - w**2 + 2*w**3 + 2*w**2 = 0. Calculate w.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29895 - (-3 + 14\/(-14)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*x + 70, 4*x + 1 = -l - 27. Suppose -3*q + 3*b = 30, -4*q + b + b - 50 = 0. Let m = l - q. Let p(t) = -t - 6. Give p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9352 + 4715 - 3*x**2 + 4689)*(6*x - 2*x - 3*x) as b*x + r*x**3 + p*x**2 + v and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5510194mg?\nAnswer: 551.0194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3) + (-5 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o, 5*o = -f + 5*f + 4. Suppose 0 = 5*k - f - 6. Suppose 2*d = -2*l + d + 11400, -k*l = -d - 11400. Round l to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149 * -426.3.\nAnswer: 63518.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14312 and 40.\nAnswer: 71560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 901*l + 1269*l + 1262*l - 3431*l - 2 - 30*l**2 + 2.\nAnswer: -30*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 29\/5383931?\nAnswer: 29\/5383931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*w - 1)*(-1 + 1 - 2*w) - 2*w**2 + 0 + 0 + (-2*w + 3*w - 6*w)*(-2*w - w + w) - 4*w**2 + 5*w**2 + w**2 in the form s*w + n + q*w**2 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/18)\/(10\/(-148710)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1485)\/(-2))\/(-55)*-2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -173\/49405 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/4 - 899*c\/2 + 201670 = 0.\nAnswer: 860, 938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -62*j - 252. Give m(-3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274657 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 358416040152 and 3.\nAnswer: 358416040155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 10532*v\/5 - 10534\/5.\nAnswer: 2*(v - 1)*(v + 5267)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -991\/6 - -165. What is the nearest to -0.02 in 2\/5, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*j - 0*j, 0 = -3*w + j + 133261. What are the prime factors of w?\nAnswer: 2, 3, 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t**8)))\/t)\/(t\/(t**(2\/35)*t)*t*t))\/(t*t**13)**(-23) assuming t is positive.\nAnswer: t**(11482\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -35. Suppose -6 = -2*k + 4*s, -32 = d*k + k + 3*s. What is the second smallest value in 0.2, k, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/4)*y)\/(y*y\/(y*y**(-6\/7)))*((y\/(y*y**1*y*y))\/y)**(1\/38))\/((y*y**(-6))\/(y\/((y*y*y**(-4)*y)\/y*y))*(y**(-2\/3))**(17\/3)) assuming y is positive.\nAnswer: y**(50587\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110001 - -101?\nAnswer: -100100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26 and -42605.\nAnswer: -42631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 36, 41?\n\"Answer: 5*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166208 by -4.\nAnswer: -41552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 718338907 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 11}. What is prob of picking 1 s and 1 d?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-9 - 2184\/(-234))\/((-2)\/(-29220)*2) and 4383.\nAnswer: 21915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -12*l - 22. Let b(g) = -g**2 + 11*g - 13. Give b(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-300))\/(13\/(-65)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63315, -63312, -63309, -63306, -63303?\nAnswer: -63300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/905406 and 33.\nAnswer: 905406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -17393 less than 0.164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13*m = -197160. What is m rounded to the nearest 100?\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -4)\/((-2)\/(-21)). Let a = 155 + s. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5480203kg in grams?\nAnswer: 548.0203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/7, -5\/7, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 73*s - 74*s. Let a = s + 34. Which is smaller: 2\/51 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -i + 1, 0 = -t + i. Solve -o - 3*o - 2 = -5*a, 0 = -o + t*a + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(117) - (sqrt(117)*-1)**2) + sqrt(117)) + (sqrt(117) + (sqrt(117) - (0 + sqrt(117))) + -2)**2)*-3 + -2.\nAnswer: -36*sqrt(13) + 1039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - -4 - (-256 + 235)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38518045 or -38518026?\nAnswer: -38518026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 5. Let u(r) = r**2 - 8*r + 14. Let i be u(7). Let j be s(i). Let m(n) = 2 + 28*n**j - 27*n**2 + 1 + 8*n. Determine m(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28425293\/405979 - -4131\/59. Is p equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 3*s + 139 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -794*s - 561*s - 916*s + 5 - 140*s - 3 to the form r*s + i and give r.\nAnswer: -2411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76279.25 weeks in microseconds?\nAnswer: 46133690400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*w)*(2*w - 3*w - 5*w) + (-1 + 2*w**2 + 1)*(799 + 286 - 322 + 422) to h*w + v*w**2 + k and give v.\nAnswer: 2382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9325101 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.0621 (b) 17\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/63)\/((-8)\/14)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -3. Let d = n - 5.99995. What is d rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220202022 (base 3) in base 5?\nAnswer: 1034134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1674 - -1678. What is the greatest common divisor of n and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 - 2396*f\/15 - 717602\/15.\nAnswer: -2*(f + 599)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*q - 4 + 2*q in the form g + t*q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -11. Let u = 11.5 - 11.2. Let i = -6 - -1. What is the nearest to 2\/5 in u, i, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 7. Let u be (z\/1)\/((-6)\/(-18)). Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -1\/1553, 0.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvewvvddvvywe. What is prob of sequence ev?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**7\/1995 - t**6\/190 + 11*t**5\/570 - t**4\/38 + 23*t**2 - 2*t. Let b(w) = 0. Calculate w.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643888600?\nAnswer: 2, 5, 17, 31, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/3 - 128*l\/3 + 2048\/3 = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -713*n - 471446*n**2 - 4284 + 471448*n**2 - 50*n with respect to n.\nAnswer: 4*n - 763","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 2*i**3 - 2 - 2*i**3)*(-8*i**2 + 18*i**2 - 14*i**2).\nAnswer: 4*i**5 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - 54514*r + 8.\nAnswer: -54514*r + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17622304, -0.1, -4, -3 in decreasing order.\nAnswer: 1\/17622304, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 1638616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 8:45 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(1\/3). Suppose 2*s = -4*j, 4*s - i*s = 4*j - 8. Suppose -4*m = -13 + j. Solve 0*d + d = -m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 18 + 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/3 + 6*a**2 - 110*a - 3146\/3 = 0. Calculate a.\nAnswer: -11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1521 = -21*o + 5553. Is 48 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -20 - (-4 + 24 + -5).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2031*h + 8*h + 268*h to the form w*h + a and give w.\nAnswer: 2307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -0.19 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 3*x. Let a be c(-4). Suppose a*h - 113 = -25. Let p be 0 - h\/(3\/(-3)). What is the greatest common factor of p and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 857717228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -81*y**3 - 18*y**2 + 18*y + 18. Let z(f) = -23*f**3 - 5*f**2 + 5*f + 5. Calculate 5*n(m) - 18*z(m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 3, 5, 7, 22248 in ascending order.\nAnswer: -7, 1, 3, 5, 7, 22248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 422, 679, 936, 1193?\n\"Answer: 257*j + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58b7 (base 12) in base 4?\nAnswer: 2123023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 2. Let p be x(6). Let j = p + -4. Let i = 2 - j. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24462271367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/34 + (-10176)\/(-3264). Let j(h) = 17*h - 47. Determine j(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.09 + -3.02. Let m = u - 1.07. Which is the nearest to 2\/7? (a) m (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195860 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 428894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0365643131 times 3\nAnswer: 0.1096929393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00347622 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65015 and 740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-17))\/k)\/k)\/k**(3\/22) assuming k is positive.\nAnswer: k**(349\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k)*(1 + 2 - 5 + 1 - 2 + 3 + (-3 - 1 + 5)*(2 - 4 + 1) + 2 + 3 - 6 + 4 - 4 + 2 + 2 - 1 + 2).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 47b?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22754288*y**3 + 6202264*y**2 - 2 wrt y.\nAnswer: 136525728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmbububarubbb. What is prob of sequence bbbm?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1+11108194\nAnswer: 11108193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:48 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 5) + 5 + -2. Let y = -1 + x. Let o(m) = -m**2 - 5*m. Let a be o(y). Solve -2*p = -q - 7, 3 = 3*p + q - a*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5766)\/(-217))\/(-93)*(-7)\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 3:42 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6071 is divided by 616?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.043415 months in centuries?\nAnswer: 0.0158695125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbrr when four letters picked without replacement from rrrrrbrbbrbrrrrrrbr.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 0*n**2 + 3*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1 (c) 0.3 (d) -2 (e) 0.05 (f) -0.02536\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 32 = -2*d, 3*j + 0*j + 28 = -2*d. Let c = -10 - d. Let s(k) = 0*k + k + 1 + 0*k + 0*k. Let g(a) = -2*a - 2. Calculate c*g(x) + 3*s(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36639989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -10. Let v(k) = -3*k**3 + 2*k**2 + 3*k + 3. Let a be v(s). Suppose -3*h = -l + 24 - a, -2*l - 114 = -5*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141926728 + -0.4\nAnswer: -141926728.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 148, 295, 490, 727, 1000, 1303, 1630?\n\"Answer: -r**3 + 33*r**2 + r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -243 + 243 + 315*z to p + j*z and give j.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -262, -980, -2924, -6706, -12938, -22232, -35200, -52454?\n\"Answer: -102*u**3 - u**2 - u - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 9 = z - 3*p, 5*z = -2*p - 6. Let y = 3 + z. Is 4 a factor of 2 + y - (2 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17100*t - 688 = -17014*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2. Let b(c) = c + 3. Let a(m) = -3*m - 7 - 1 + 0. Let r(n) = -3*a(n) - 8*b(n). Give r(t(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 + 3*s**2 + 3*s - 5. Let g(v) be the third derivative of -11*v**6\/120 + 2*v**5\/15 + 3*v**4\/8 - 7*v**3\/3 + 100*v**2. Give 3*g(t) - 8*u(t).\nAnswer: -t**3 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-144) - (-2850)\/(-360)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -453 - -453.000103. What is o rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692332590 by -834.\nAnswer: -830135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 6*l + 4. Let s be m(-3). Calculate the common denominator of (6\/8)\/((-15)\/(-226)) and (-75)\/(-9)*(-2)\/s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/343203?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 6, -4*q + 3*y = 20 - 2. What are the prime factors of q + (-2)\/2 - -617?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1525? (a) -3\/4 (b) 0.3 (c) 2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(-11))\/l)**(5\/12)\/(l*l\/l**(3\/14)*l\/(l\/(l*l**(-7\/2)))) assuming l is positive.\nAnswer: l**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z - 11. Let t(l) = 4*l + 5. Let r(m) = 6*m**2 + 104*m - 322. Let b be r(-20). Let o = 22 - 27. What is b*a(n) + o*t(n)?\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let l be (-1)\/(-2*(-3)\/(-12)). Suppose -l + 10 = 4*r. Sort -3, x, r in increasing order.\nAnswer: -3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(13) + 5 + sqrt(52)\/sqrt(36))*-3.\nAnswer: -18 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-24) - (-2565)\/(-152). Let k(y) = 14*y + 23. Let g(h) = 5*h + 8. What is u*g(d) + 6*k(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1703308757332 and -0.01?\nAnswer: 1703308757331.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 4*d = -13, -20768*l - 33 = -20777*l - 4*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -3*b**2\/2 + 6*b + 1. Let r(t) = 4 - 6 + 1. Let n(l) = -f(l) - 6*r(l). Let a(v) = 2*v**2. Determine a(n(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 5*d**2 + d - 1. Let j(z) = -z**2 - z - 9. Let y be j(0). Let f be (4*(4 - 2))\/(7 + y). What is p(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 14*d**2 + 12*d - 9. Let v be j(-13). Suppose -36 = v*c + 2*c. Which is greater: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -263.96276 - -264. Let s = y - 0.03727509. What is s rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, -39, 0.4, -1\/4, 45 in increasing order.\nAnswer: -39, -1\/4, 6\/19, 0.4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Suppose 0 = -18*g + 16*g + 10. Suppose -6*b + 7*b + 5*r + p = 0, -21 = -g*b + r. Solve b*h - 20 = -0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d**2 + 347*d + 2992. Give z(-9).\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6864nm in centimeters?\nAnswer: 0.00000256864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14795 + 14805. What is the greatest common factor of r and 8570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6)*3 - -4. Suppose 0 = k*p - p - 8. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28385000 to the nearest one hundred thousand.\nAnswer: -28400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12898984.\nAnswer: 2, 7, 230339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:03 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12877, -25751, -38625?\nAnswer: -51499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10318 minus 207.6?\nAnswer: 10110.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 21 = -3*k + 5*r, 5*k + 7*r = -32 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 + 14*o**2\/9 + 8*o\/9 - 56\/9.\nAnswer: -2*(o - 7)*(o - 2)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53850355 is divided by 1127?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - 48\/(-27). Suppose s - 95 = -5*t, -i*t + s = -15 - 16. What is the common denominator of 2 + 0 + 357\/t and 99\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -958 + 959. What is the biggest value in -0.4, b, -0.1, 2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2368436 rounded to one decimal place?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7534\/5 - -1506. Which is the closest to -2? (a) -181 (b) 2 (c) -3\/5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.7*84\nAnswer: -2074.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*c = -11, -4*c - 7 = -0*b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-6)\/(-15))\/(32\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 79 - 92 = 2*v, -4*v - 8*n = 40. Put v, -29, 8 in descending order.\nAnswer: 8, v, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 70722?\nAnswer: 141444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:19 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22552)\/60 + 2\/(-4). Let t = 1139\/3 + k. What is the common denominator of t and 1\/9*(-24)\/(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*26*(-3617)\/(-144680)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3665 - 1953. What is the smallest common multiple of 20 and r?\nAnswer: 8560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 158*t - 3 - 18 + 16 - 2 + 5.\nAnswer: 158*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/36*(8\/(-8))\/((-4)\/(472\/(-2)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117073367?\nAnswer: 367, 319001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/9693 - -29119\/193860. Let k(j) be the third derivative of -1\/100*j**6 + 0*j - 1\/15*j**5 - 2\/15*j**3 + 0 - d*j**4 - 25*j**2. Solve k(h) = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {w: 1, q: 1, h: 1, y: 2, a: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6466116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 119 - 61 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 3. Calculate w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 15 - (2 - 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from vcgrh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 3*t - 7*t)*(t + 2*t + t) as l*t**2 + i*t + w and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10240 divided by -128\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -0.1 (b) -2 (c) -0.08 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 2. Let q(m) = -m**3 + 4*m - 3. Let n be 2 - (1 - 0\/1). Let w be 100\/5 + 0\/n. Let x = 17 - w. Give x*q(i) + 4*b(i).\nAnswer: 3*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + z - z - 3 + 3 - 3*z + (0 + 2*z + 0)*(-1 + 1 - 1))*(-52*z + 1008 - 1008) as f*z + j + n*z**2 and give n.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 656721 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44652?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**3 + 2*k**2 + 6*k - 1. Let l = -142 - -148. Let s = 8 + 7. Let t(r) = -4*r**2 + 2 - 9*r - r - r - s*r**3. Determine l*t(z) + 11*w(z).\nAnswer: -2*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38523684 to the nearest integer?\nAnswer: 6207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1381*u + 66. Let g be h(9). Suppose 1177 = 2*w + 2*c - 7135, 3*w - 6*c - g = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 3*h. Let b be c(-5). Let l be (-2)\/(-2) + b*1. Let n = -16 - l. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/12 - r**3\/2 - r**2\/2 - 5*r. Let u be k(5). What is the greatest common divisor of 72 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30784176 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11420, 11552, 11760, 12044?\nAnswer: 12404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -54*n + 10. Let v be r(-8). Suppose 4*l + 54 = v. Let w = l - 56. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -3, -18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198916 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-84)\/105)\/((-4)\/130). Let a = n + -27. Let p = a - -32. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, 1\/8, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24481526981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 10. Let a(v) = -14 - v + b*v - v. Calculate a(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 7*k**2 - 5*k + 4. Let u be i(-6). What is the units digit of (-1 + u\/8)*-8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-10)\/(-4) - 1). What is the units digit of (-519)\/(-15) - g\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*u + 119*u + 109*u + 112*u - 500*u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21012 - 131*r**2 + 127*r**2 - 3518 - 17494.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6)*(-8)\/6. Let f = -5 + 8. Suppose -89*u + 78 - 78 = 0. Sort u, t, f in decreasing order.\nAnswer: f, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3 = -7*d + 9 + 35, d - j - 9 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i - i - i)*(0*i**2 + 0*i**2 + 2*i**2) - 3*i**3 - 3*i**3 + 5*i**3)*(1273 - 1273 + 31*i).\nAnswer: -155*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*s + 5*u - 4*u, 2*s - 2*u = 28. Let v = s - -8. What is the remainder when ((-186)\/4)\/((-6)\/8) is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.99999958 - -23. What is p rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 1. Let r be f(3). Let q be (210\/r)\/(6\/(-40)). What is q rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/(-2))*9\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-24))\/((-444)\/(-9324))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 556251*l**3 + 2*l**2 + 7*l + 14. Let b = 251 - 253. Let n be q(b). What is n rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 79, 144, 243, 388?\n\"Answer: 2*r**3 - r**2 + 32*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 0.09\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1132 divided by 92964\nAnswer: 283\/23241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -214324340?\nAnswer: 214324332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -110535*(0 + -1)*6\/9. Does 91 divide -1*(-2)\/9 - t\/(-90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74100 and 684.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, 66 in decreasing order.\nAnswer: 66, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 2, 17625, -81, 3, -1 in ascending order.\nAnswer: -81, -1, 0, 2, 3, 6, 17625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/7 - 376*b**2\/7 - 10607*b\/7 + 62310\/7.\nAnswer: (b - 402)*(b - 5)*(b + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, s: 2, z: 5, g: 1, r: 6}. Give prob of sequence zgr.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166692\/79 + 2110. Let g = u + 889\/790. Let y = -288967\/18 - -16058. Calculate the common denominator of y and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:55 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1646*b - 1172*b - 432*b + 245*b + 180*b to the form x + g*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14968 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 4. Let d = 6141 + -6126. Put d, 1, p, 0.1 in increasing order.\nAnswer: p, 0.1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**3 - 3*k**2 + 6*k - 16. Let o(d) = 19*d**3 - 10*d**2 + 20*d - 48. Determine 2*o(u) - 7*w(u).\nAnswer: -4*u**3 + u**2 - 2*u + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 (base 11) in base 8?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 535.9 + -536. Which is the nearest to 1? (a) s (b) 4 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127746923?\nAnswer: 127746923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -55. Let w = 27 - a. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Suppose 4*x - 5 = 3. Let a(t) = 5*t - 1. Let p(k) = -3. Let l(c) = 1. Let y(j) = 4*l(j) + p(j). Let w(h) = x*y(h) + 2*a(h). Give w(r(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-23 - (25 - 66)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9283 and -9.\nAnswer: -83547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13408341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 (base 15) in base 12?\nAnswer: 69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*d + 36 = -173*d. Let m(h) = -h**2 - 7*h - 5. Let y be m(-5). Solve -d + 16 = y*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1021776783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 72 = 4*w + 19, 5*w + 26 = 4*r. Calculate the highest common divisor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 616?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:49 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -19*n + 9*n - n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide ((-4)\/24)\/(1\/(-79970)) + 3\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -487219, -974469, -1461719, -1948969?\n\"Answer: -487250*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-143)\/(-26))\/11*7\/203*2?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17171 by -77.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 171525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2812 and 1750026.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 29*u - 2 - 5 + 5 + 24*u - 48*u. What is r(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.72523 * 16\nAnswer: -75.60368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -4 (c) 1\/4 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 25 + 15 + (-8 - (-1 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*b - 229*b - 572 = 84 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 33. Let i(q) = -20*q + 24. Let k be i(2). Let t be o(k). Solve 5*r + 0*r = -t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -14) + -34 + 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 3, k: 1, q: 1, y: 1, h: 5}. Give prob of sequence hhfr.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 10. Let d be (-22)\/b*(-1 - -3). Suppose 3*o = d + 52. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4\/11 + 4978*p**3 - 136922*p**2\/11 - 27372*p\/11 + 164304\/11 = 0.\nAnswer: -13692, -1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45157 and 58059?\nAnswer: 406413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27867*x**5 - 792*x**2 + x - 17 wrt x.\nAnswer: 1672020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2417008 divided by 13733\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 - -229. Is 7 a factor of 2\/(-10) + 7324\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, g: 1, h: 4, v: 1, q: 1}. What is prob of sequence ohoq?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 14. Find the first derivative of x*o**2 + 14 + 2 - 2 - 2 wrt o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4996311?\nAnswer: 3, 1665437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 61*p + 869. What is the hundreds digit of j(-44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-8) + (-12)\/(-16) + -3. Is (k + 3 + -1)*(3 - -7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o - 3. Let a be 4\/(-10) + (-48)\/(-20). Suppose 0 = -5*z - w - w + 50, -10 = a*w. What is the remainder when f(2) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48664 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + 144. Suppose 17*s + 28*s = d. Sort -2, s, 3 in decreasing order.\nAnswer: s, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-180))\/((1\/4)\/((-54)\/162))?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 62?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:38 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/60 and 169\/29370.\nAnswer: 58740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 5:56 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.26 rounded to 0 dps?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eru when three letters picked without replacement from {u: 2, e: 1, r: 4, i: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5726625*h + 2863316*h + 2863310*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 35*b + 3. What is n(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qppqqjmqjqqpqmqjqqp. What is prob of sequence mmqq?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/6*-22*(-10)\/2640\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -146, 17, -5, -4, 29 in ascending order.\nAnswer: -146, -5, -4, 1, 17, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 12*b**2 + 6*b - 6*b in the form g*b + m + y*b**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**3 - 1059*d**2 + 13*d**4 - 30*d**4 + 1048*d**2 as v + y*d + m*d**4 + s*d**2 + p*d**3 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b - b + 3*b)*(-2*b + b**2 + 2*b) - 10*b**3 + 8*b**3 - 32*b**3)*(4 + 2*b - 4).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + (-2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*f**3*z**2 + 56*f**3 - 10034*f**2 + 1134*f*z**2 + 5*z wrt z.\nAnswer: -42*f**3*z + 2268*f*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/11*(-2)\/18. Let y = 3 + -2. Is r at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 8*q**4 + 21*q**3 - 18*q**2.\nAnswer: q**2*(q - 3)**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 1. Let c(u) = -4*u + 3. Let v(t) = -37 + 32 + 26 + 2*t. Let r be v(-13). Calculate r*w(j) - c(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 6*p - 2*p + (1 + 1 - 3)*(p + 0 + 0) + 0*p + p + 0*p + 3*p - 4*p - 2*p)*(-108 + 205 - 9).\nAnswer: -88*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 37. Let t be k(-5). Suppose 5*w = -v + 2, 0 = -3*v + 2*v - w + t. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (33 - (16 + 2) - -60)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 757868736 by -3.\nAnswer: -252622912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4 + 1932*o**3 - 131974*o**2 - 137760*o + 267800 = 0.\nAnswer: -1030, -2, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*t**3 - 2*t**2*x + 1825*t*x + 1696604*x wrt t.\nAnswer: 204*t**2 - 4*t*x + 1825*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 4. Let h(p) = -7*p - 17. Let y(k) = -37*k - 89. Let m(n) = 21*h(n) - 4*y(n). Determine 2*m(s) + x(s).\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rir when three letters picked without replacement from {i: 1, x: 2, r: 4, a: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11341 at least as big as -11341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -4c814d2?\nAnswer: 4c81503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -59, -172, -393, -758, -1303, -2064?\nAnswer: -3077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/275*2\/3*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3074 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5\/2 + 3807*y**4\/8 - 84309*y**3\/8 - 4379247*y**2\/8 - 13294203*y\/8 - 762795\/2 = 0 for y.\nAnswer: -335, -23, -3, -1\/4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 + 2413\/133)*2\/6. Which is the closest to 1? (a) -5 (b) -0.5 (c) 3.9 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**9\/168 - h**5\/15 - h**2 - 3*h. Let k(w) be the first derivative of n(w). What is the third derivative of k(f) wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 283559.58us?\nAnswer: 0.00007876655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 4*x + 3*x + 9*x = -4*x + 24*x + 87*s - 84*s + 40, 0 = -10*s for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10.672+0.13132\nAnswer: -10.54068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68618189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641853.\nAnswer: 3, 71317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a5 (base 16) in base 12?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/6)*j**(-5)*(j*j**(-6))\/j**(-6))\/(j**3*j**(2\/13)*((j*j*j**0*j*j*j)\/j)**(-15\/2)) assuming j is positive.\nAnswer: j**(1847\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 363815 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55282 is divided by 7893.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -10. Suppose k + 3*k - 66000 = y. Round k to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 + 2*h + 3. Determine o(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6378498?\nAnswer: 2, 3, 7, 23, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 2*g - 6, -2*j = -2. Suppose -4*w = -8*w + 8. Suppose 70 = 5*k - g*s, -w*k + 43 = -5*s + 3. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2298?\nAnswer: -2298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 18*i - 172. Calculate the smallest common multiple of 195 and l(10).\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j + 40. Let s be w(-5). Solve -3*f**3 + s*f**3 + 36*f**2 + 45*f - 6*f**2 - 2*f**3 = 0 for f.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s - 54. Let t(f) = -9*f + 80. What is -7*n(z) - 5*t(z)?\nAnswer: 3*z - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 13*x - 15 + 15)*(71 - 10*x - 71).\nAnswer: -130*x**2 + 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 194*p**3 - 17456*p**2 - 360*p = 0.\nAnswer: -2\/97, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t**2 + 15*t - 25. Let c(f) = -17*f**2 - 14*f + 25. Let n(v) = -5*c(v) - 6*u(v). What is q in n(q) = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 281 + 214 = r, 0 = 2*n + r - 119. Solve -n = -30*a - a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 37*v + 10. Let a be q(15). Let r = a - -495. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3699\/4, 2.2, 2\/19, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 15*o = 100*o + 1708 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2109 + -2085. Solve -21 - x = 15*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.4 and -1.07.\nAnswer: 14.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*m = 0, 2*c - 28 = -0*c - 5*m. Let i be (0 - 0)\/(2 - c). Solve i = -2*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + 2*o - 33*o - 1 in the form j + m*o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -24. Let p be h\/((-28)\/(-16)) + -2. Suppose 0 = 5*i + 3*q - 24, q = -i + 5*q - 9. Solve i*a = a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 60 = -9*r. Let p be (-1 + 2)*r\/(-4). Suppose 0 = -363*u + 361*u. Solve u = 2*a + p*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/16380 and 15\/364.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 82471 (base 12) to base 4\nAnswer: 221200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -j. Calculate the common denominator of (-678)\/216 - j\/8 and 53\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 c, and 1 s when three letters picked without replacement from scjmjmosssjjcssms.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 2*h**2 + 3*h + 2. Suppose 5*s - 28 + 43 = 0. Determine u(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 = 3*m - 16, 0 = -2*k + 2*m + 12. Suppose v - k*z = 0, -7 = 3*v - 5*z - 17. Calculate the greatest common divisor of v and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -0.4, 0.277?\nAnswer: 0.277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1196, -782, -1\/8, -0.4?\nAnswer: -1196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 0 + (6 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100011000001001 (base 2) to base 14.\nAnswer: -58281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/15 + 4*(-3)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -6*o + 56 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2446976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + 14)*(-2 - -3). Solve 120 = -t*s + 5*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-16) - 9\/(-2). Let x(f) = 3*f - 5. Let d be x(v). What is the tens digit of 4\/10 + 116\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*o**3 + 7*o**2 + 6669*o.\nAnswer: 996*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 43620?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-1 + 1 + u)*(-128 - 126 + 111).\nAnswer: 286*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 489775723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 4*f**2 - 9*f + 17. Let s be z(5). Let r be s\/((-54)\/6)*75. Solve -4*o + 60 = -5*b + 15, -r = -4*o + b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -6. Let o = a - 5. Suppose -o*t = -0*t - 36. Calculate the highest common divisor of t and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/114616 and 149\/16590666.\nAnswer: 66362664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11981741 and 454?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -7*v**4\/24 + v**3\/6 - 1003*v**2 - 2*v - 1. Let i(x) = -15*x + 1. Give 4*i(f) - 9*o(f).\nAnswer: 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 10. Let j be d(9). Let b = 32 + j. Suppose -76 = x - 3*x. Calculate the remainder when x is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*g + 2851 - 836, 4*s + 3*g = -1643. Let t = 708 + s. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -20. Let f = -19.7 - p. Let w = 0.38 + -0.38. Which is the third biggest value? (a) w (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3.6, 2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 20350197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 50537396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*o - 2)*(4*o - 3*o + o) + 6*o**2 + 4*o**2 - 2*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 6951855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87043*g**3*s**2 + 154723552*g**3 + g**2*s**2 - 3*g**2 + g*s - 123*s**2 wrt s?\nAnswer: -174086*g**3 + 2*g**2 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 30. What is the remainder when 31 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/206 + -277\/1854. Is n greater than or equal to 0.118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1652 divide 9905769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 848, 804, 732, 632?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9991379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(147\/(-36) - -4). Calculate the greatest common factor of a and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from {z: 7, r: 6, h: 1, s: 2, m: 1, o: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 7 = 6*m - 21*m + 2*a + 11, 17*m - a + 13 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 32. Solve -4 = -2*v - g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5732386, -11464775, -17197164, -22929553, -28661942, -34394331?\n\"Answer: -5732389*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 600, 2449, 5532, 9849?\n\"Answer: 617*t**2 - 2*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20303, -40598, -60893?\nAnswer: -81188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -25, -49, -95, -169?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1953078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m - m)*(-18 - 11 - 13) - 6*m - 2*m - 3*m + 2*m as d*m + a and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -2357447172872?\nAnswer: 2357447172868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhsisq. Give prob of picking 1 h and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + 0.036052834?\nAnswer: 50.036052834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-48)\/5))\/((-80)\/(-600)*15).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*h + 10, -h + 6 = 5*q - 8. Let r be (-1*3\/q)\/(-1). Let l be 3 + r + (2 - -1). Put l, -2, 4 in increasing order.\nAnswer: -2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, w: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2, -5*j - 2*n + 111 = -4*n. Calculate the greatest common divisor of 115 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 28, 4, -40, -110?\n\"Answer: -j**3 - j**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/8)*v**(-2\/3))**(2\/17))**(5\/12) assuming v is positive.\nAnswer: v**(55\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 8:31 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -24. What is the units digit of (-2)\/f - 388\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/10*(2 + -1 - 476)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(5*v + v**3 - 5*v) + 271*v**3 + 195*v**3 + 242 - 242.\nAnswer: 465*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 10*g**2 + 11*g - 2. Let n(u) = 6*u - 75. Let y be n(-10). Let b = y + 124. Calculate l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5 - 3. Suppose 5*z - 21 = -0*h - 2*h, 9 = o*z + h. Solve -z*n + 4 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(-6 + 927\/(-6)). Let w = 152 - n. What is the greatest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -32*d - 10*v + 8*v, -4 = -2*d - 4*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**3 - 40*h**2 - 35*h = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 50*p = 45567. Calculate the greatest common factor of 36 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c - c)*(-4*c + 5*c + 0*c) - 11 + 11 - 59*c**2 in the form j*c**2 + r*c + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or -989?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469324159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -31. Let m(h) = 1. Let i(w) = -2. Let c(k) = y*m(k) - 2*i(k). Let x(l) = -l - 5. Let n(t) = 5*c(t) + 2*x(t). Calculate n(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 85.1 from -153.28.\nAnswer: -238.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:06 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 156\/(-21) + 7 + 339\/7. What is the second derivative of 9739*o**3 + o - y*o**5 - 9739*o**3 + 26 wrt o?\nAnswer: -960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 0.1, 4, 302193, -0.1 in descending order.\nAnswer: 302193, 143, 4, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5373922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -37. Suppose 2*g + m*z - 8 = 0, -3*g + 0*z + 12 = 2*z. What is the remainder when 17 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Suppose 3*j - 3 = 6*j. Let b = j + r. What is the biggest value in b, -1\/7, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 77, 144, 195, 206, 153, 12, -241?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 19598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*g = d - 177*g + 14, 10 = 4*d + g. Solve -d*x = -2*w + 6, -3*x + 34*w - 9 = 37*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166183 - -166185. Let o be 2\/6 - (-202)\/78. Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 4*i - 4, 4*i + 8 = -36964*q + 36966*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - d**2 + 1. Let r be t(2). Suppose 9 = -r*g - 6. Is 11 a factor of ((-1)\/3)\/(g\/171)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458373 is divided by 1017.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v + 4. Let x(m) = 12*m + 3. Let b(t) = -4*x(t) + 3*y(t). Let u(f) = -2*f**2. Determine b(u(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:35 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15997.86l in millilitres?\nAnswer: 15997860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2 + 3 + -2851. Let a = -28539\/10 - d. Find the common denominator of a and -67\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-12)*(-4)\/6. Let w = -203 + 201. Is x greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*w**3 + 100*w + 115149 - 115148 - 272*w**3.\nAnswer: 2*w**3 + 100*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34643 is divided by 119.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -6 - 5 - (14 - (-2 + 6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.5, -11.33 in decreasing order.\nAnswer: 0.5, 1\/8, -11.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (580\/(-232))\/(5\/(-1532)). Let d = 764 - f. Suppose -4*g + 5*g - 5 = 0. What is the fourth smallest value in d, 1\/3, g, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z**2 - 15*z + 12. Let q(j) = -5*j**2 - 8*j + 6. Let g(m) = 6*c(m) - 11*q(m). List the prime factors of g(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 10*f**2 - 4*f - 9. What is s(-12)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -9.7\nAnswer: 0.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379.1 - 386.1. What is the closest to 2 in b, 9, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65965 is divided by 32892.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*t + 371*t - 205 = 704 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(3 - 3 + 2*l) + l + 5 - 5 + 1790*l - 2 - 10 + 12 to the form s + x*l and give x.\nAnswer: 1793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f**2 + 9*f + 9. Let b(h) = 6*h - 30. Let i be b(5). Let s(k) = 5*k**2 - 2 + 8*k - 11*k + i + k. What is -2*l(m) - 9*s(m)?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -9)*(-696)\/(-48). Factor -8*l**5 + 2*l**5 - 9 + 49 + 11*l**5 + 395*l**3 + v*l**4 + 260*l + 15*l**5 + 490*l**2.\nAnswer: 5*(l + 1)*(l + 2)**3*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d (base 15) to base 11\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -255*i**2 - 10205*i - 30. What is g(-40)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/9 + 230*i**3\/9 - 2518*i**2\/3 + 53530*i\/9 - 78652\/9 = 0. Calculate i.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27966664, -27966661, -27966658, -27966655?\nAnswer: -27966652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (0 - 2\/2). Let v = -1 + 1. Suppose -2*a + 0 = 2*k - 2, v = 4*k + 2*a - 12. Solve -2*c = l + s - 0, 0 = -k*c + 5*l - 25 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 436 and 5.2.\nAnswer: 441.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u**3 - 18*u**2 + 55*u - 21. Calculate n(4).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1887*w**3 + 49*w**2 - 25*w**2 - 24*w**2.\nAnswer: -1887*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 680, 1020, 1360?\nAnswer: 1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 10*x**2 + 7*x + 4 + 10*x**2 + 6. Is 5 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 40.0183877.\nAnswer: 43.0183877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -200*k**3 - 2*k**2 - 88*k - 271. What is the hundreds digit of f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2524198 divided by -4\nAnswer: -1262099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -250*z + 2129*z + 2973*z + 46*z to o + m*z and give m.\nAnswer: 4898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-8)*(-83 - -73)*(-174)\/(-40) and -7\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/16, -1\/3, -33, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 12*y - 950 = 0. Calculate the highest common divisor of 38 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(sqrt(14)\/(sqrt(28) + sqrt(7)) + 4 + sqrt(18))*-2)**2.\nAnswer: 8000*sqrt(2)\/3 + 34400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*v + 4, h - 1 = -4*v - 0*v. Suppose v = -5*a - 3*n + 194, -n - 145 = -4*a - 0*n. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**9)\/o)\/o*o*o*o\/(o*o**7)*(o**(2\/13))**(-15))**(19\/3) assuming o is positive.\nAnswer: o**(-1425\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*13\/117*(-6)\/(-51).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/88 and -41\/201388.\nAnswer: 402776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/188 and 61\/51720.\nAnswer: 2430840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/11 + 130*i**4\/11 - 2448*i**3\/11 + 3456*i**2\/11 + 193536*i\/11 = 0.\nAnswer: -7, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/11 (b) 4 (c) 2 (d) 1 (e) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61956.8 and -0.3.\nAnswer: 18587.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 1. Let x(c) = 690*c**2 - 2*c + 4. Give -x(l) + 5*y(l).\nAnswer: -685*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 - -31. Let t = 97151\/5 + -19363. Let x = o + t. Which is the second smallest value? (a) -5\/3 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + k = -t - 364, -308 = 4*t + 5*k. Let d be 70\/t - (4 + 266\/(-63)). What is the smallest value in 3, d, -0.11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 + 81 - (10\/4 - 665\/38).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 388861 + -656117. Let h = 267258.239863 + f. Let r = 2.24 - h. What is r rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 130\/35*(-1 + 2)*(-6 - -13). Let r be (-8187)\/(-9) + 2\/6. Suppose r = 4*l + l. What is the greatest common factor of y and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 445\/65 + 2\/13. Let p = k - 1. Let m(f) = -f - p + 2 - 1. Calculate m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1271\/214799 + 285\/8957.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*j**4 - 2*j**3*p**2 + j**3 - 169*j*p**2 - 8*j*p wrt j.\nAnswer: -1620*j**2 - 12*j*p**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0149544289 rounded to 6 dps?\nAnswer: 0.014954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 21*u - 18*u = -17, 0 = -4*a - 2*u - 0 + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 9*x**2 + 9*x - 9. Let c be i(8). Let p be c - (2 + -1 + 1). Let u be -2 + -1 + 10 + p. Solve -u*q + 25 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 36. Suppose 0 = a + 4*j + 6, -2*a = -6*a + 5*j + 18. Solve 11 = -3*g + 4*q, -5*g - a*q - u = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 12*o - 20. Let b be j(-10). Solve -5*u - 3 = 3*r, b*r - 3 = 3*r - u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 - 10 = 0. Let c be (-1)\/1*(v + -1). Let n = 11 - c. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8385000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 + 139. Sort f, -2\/7, 2, -1 in ascending order.\nAnswer: -1, -2\/7, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - s - 1 - s)*(84 + 47 - 41) as l + r*s and give r.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from krkkgrv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 101.5. Which is the smallest value? (a) j (b) 26 (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - (-296)\/(-20)) + 5. What is the nearest to -0.014 in -0.5, 0.1, 3, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 680.2198 centimeters?\nAnswer: 6802.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896883027 to the power of 1\/3, to the nearest integer?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 4*z + 18. What is the lowest common multiple of b(0) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285085?\nAnswer: 5, 23, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-36)\/16*2. Let l(v) be the third derivative of 0*v + 0 + 1\/20*v**5 - 3\/2*v**4 + d*v**3 - 9*v**2. Find z such that l(z) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (-21 - -14) + -6. Sort 27, 3, q, 2 in ascending order.\nAnswer: q, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 13. Suppose 47 = 4*k - 7*k + 2*i, 0 = -5*k + 2*i - 73. Let y be g(k). Suppose 5*t - 2*t - y = 0. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-18) - (-26)\/6. Suppose -d*p = -p - 40. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1e1?\nAnswer: -1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -148. Let t be -1*9\/15 + g\/35. Which is the third biggest value? (a) 0.3 (b) t (c) 0.5 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -215 - 378*u + 215 + 393*u. Suppose a + 21 = -3*g + 2*a, 0 = 3*g + 5*a + 21. Let o(z) = 22*z. What is g*t(i) + 5*o(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/20 - a**4\/6 - 7*a**3\/6 - 7*a**2 - 11*a. What is the units digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4652987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1495, 31, -9\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.22 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1.426 (b) 2\/93 (c) 2 (d) -1\/4 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 2. Suppose 2*j - 4*p + p - 13 = 0, -5*j = m*p + 20. Which is the closest to -4? (a) -1\/3 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288567934?\nAnswer: 2, 644283967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4468 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 12 + 41 - 21 - 36 as i + u*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 23. Let c be g(13). Suppose -24 + 234 = c*f. Let y = -58 + f. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1115 + -3343\/3. Sort 2, -1\/16, d in ascending order.\nAnswer: -1\/16, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = l, 4*l + 5*v = 3*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 27164374 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, r: 2, p: 2}. What is prob of picking 1 r and 2 q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10461959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y**2 + y + 7. Let i(s) = 21 + 11 - 3*s - 13 + 8. Let d be i(7). Is o(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 3. Let t = 8 - 5. Let r be i(t). Find w such that 1 + w**3 + r*w**2 - 3*w + 0*w**3 + 6*w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 808027 or 808094?\nAnswer: 808094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 4*u + 3, 3*z - 2 = -5*u + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.94 + -11. Sort -4, 0.3, y in decreasing order.\nAnswer: 0.3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65972 - 39049. What are the prime factors of i?\nAnswer: 13, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056 and 2184960?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (35\/(-14) - -2)\/(2\/(-48)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = -38. Let y = 4 - d. Let b = y - 14. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37bb (base 12) to base 16\nAnswer: 18bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5\/13 - 30*q**4\/13 - 42*q**3\/13 + 1078*q**2\/13 + 4116*q\/13 = 0?\nAnswer: -7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/11 + 96*j**3\/11 + 2212*j**2\/11 - 96*j\/11 - 2210\/11 = 0.\nAnswer: -17, -1, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14998963 to the power of 1\/2, to the nearest integer?\nAnswer: 3873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - -69 - (-6 - 7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 + (-225)\/(-35) - (-64)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8400 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75824096 to the power of 1\/2, to the nearest integer?\nAnswer: 8708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = -10. Let h be (x\/(-5))\/((-3)\/(-30)). Suppose h + 6 = 5*v. Solve v*y + 2*y - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 9*u**2 - 12*u - 3. Let l be m(-8). Let z = -24 + l. Solve -3*i - 25 = -z*f + 2*i, -14 = -2*f + 4*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586 - 1271 + 3128 - 1271 + 129*o - 125*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/((-48)\/20)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 3*h - 2*h + 0*h + 2*h to w*h**2 + m*h + z and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*y**4 - 2*y**3 + 256*y wrt y?\nAnswer: -1464*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10000658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*2*sqrt(78))\/(sqrt(54)*3 - sqrt(6)))**2 + (sqrt(13) + -1)*4 + 3*(3*sqrt(13) - sqrt(13)))*-1.\nAnswer: -10*sqrt(13) - 261\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*s + 2092, -5*s - 13*b + 16*b + 5229 = 0. Suppose -4*v - 5*w = -s, -3*v + w + 762 = -3*w. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -3. Let g = -150 - -104. Let u = -46.1 - g. Which is the smallest value? (a) -1 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.60732131?\nAnswer: -0.242928524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let x = -1 - -3. Let y(u) = 6*u**x + 1 + 4 - 5. Calculate m(y(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.1 times -0.14?\nAnswer: -2.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 254, 443, 810, 1415, 2318, 3579, 5258?\nAnswer: 7415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 15*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1\/9, 8 in decreasing order.\nAnswer: 8, 1\/9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 8164721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 9*j**2 - 9*j + 6. Let o be a(8). Let w be o + 1 + 0\/1. Let d(f) = -f + 2 - 4 + 1. What is d(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-7\/2))*m**7)\/(m**(-1\/6)\/m**13) assuming m is positive.\nAnswer: m**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, p: 4, t: 2}. What is prob of picking 3 p?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 73. Let x be v(26). Solve 0*c = -c + o - 1, x*o = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2591390 and 45026.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2441419.87 + 2441733.870646. Let z = -314 + d. Round z to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.3 + 29.3. What is the nearest to i in -1, 4, 2\/17, -0.8?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-13)*(-2)\/2*1. What is the nearest to -1 in 0.3, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3\/84)*-1. Suppose -z = -6*l + 8. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxxxxzxxoxxxxz. Give prob of sequence xz.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1228*z - 1946. Let f be h(18). Round f to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3146 + 4968. What are the prime factors of h?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1856 and 3.\nAnswer: 5568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -29. Suppose 17*o + n = 18*o. Let p(t) = o*t - t - t. Let a(x) = 3*x. Determine p(a(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -221780 (b) -39 (c) 1\/4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + q)*(3 + 0 - 2)*(2*q**2 + 2 - 2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -75*q**3 + 23*q**2 + 4. Let p(u) = -152*u**3 + 47*u**2 + 9. Let g(n) = -13*d(n) + 6*p(n). What is the third derivative of g(h) wrt h?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306306\/(-612)*((-70)\/(-91))\/(-5).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135863 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: Suppose -q - 5*j + 90495 = 0, 2*j = -2*q + 11080 + 169894. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0452 - 0.1?\nAnswer: -0.1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -46 (b) 0.5 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2. Let y(q) be the second derivative of -q**7\/840 - q**4\/12 + q. Let r(f) be the third derivative of y(f). Determine s(r(d)).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -36, 1, -2.35, -1\/12, -3\/7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 135.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7980\/37 or -215?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76807*g - 38514*g - 3 - 38311*g + 3.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/2 - (8 + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 9*t**2 - 52*t + 3. Let d be r(-13). Suppose 8*v - 265 = d*v. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 - 6. Let q(n) = 36*n. Determine u(q(r)).\nAnswer: -1296*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5200 + 15*w - 52*w - 5201. Let j(b) = -b - 3. Let c(a) = -2*a - 5. Let y(z) = -6*c(z) + 10*j(z). Give y(x(g)).\nAnswer: -74*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2630 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -128896 at least -128888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2212741*x**4 - 233439*x.\nAnswer: -26552892*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.03 + 0.03. Let a = 0.3 - 2.8. Let d = a + 3. Sort d, -5, g.\nAnswer: -5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 t when three letters picked without replacement from hthhthlheetelhe?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/49 - (-180)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 - j - 525*j**2 - 519*j**2 + 1046*j**2 in the form s*j**3 + w*j + d + l*j**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/4 - 249*c\/4 = 0. What is c?\nAnswer: -83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (1408\/112 + -12)*21?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 - 3. Let p(i) = -16*i**2 - 10. Determine -3*p(d) + 10*t(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-322)\/(-21) - (1 + 15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -22 + 6. Suppose -8 = o*s + 4*r - 20, 0 = -3*s + 5*r + 9. Find the first derivative of 0*i**4 - s*i**4 - 9 + 3 - i**4 wrt i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, -8, 2, -1098, -17 in ascending order.\nAnswer: -1098, -17, -8, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4241092, -4241090, -4241088, -4241086, -4241084, -4241082?\nAnswer: -4241080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621026 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31139607 and -5.7?\nAnswer: -177495759.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j - 4*j + 7*j)*(0 + 0 - 2) + 3*j - 5*j + j + 3*j + 1 - 1)*(3 + 1 - 2)*(-2*j + 4*j - 3*j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 464.57.\nAnswer: 470.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 79, 115, 149, 181, 211?\n\"Answer: -d**2 + 41*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6 = 2*a. Let x be 15\/(-9) + 4\/6. Sort 0, a, x in increasing order.\nAnswer: x, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 141 - 14. Let d = -30 + y. Is -36 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w + 2. Let o(g) = -5*g - 1. Let c(f) = -9*f - 2. Let y(h) = -6*c(h) + 11*o(h). Give u(d) - 2*y(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.8 + 29. Let g = -2.8 - a. Let i = 0.99 - -0.01. What is the biggest value in -1, i, 4\/7, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2821592 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1745516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((18\/(-27))\/(8\/18)). Let p = 62 + l. What is the smallest common multiple of p and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t. Let l be q(1). Suppose 2*m - l*a = 14, 0*a = 5*m - a - 26. Solve -5*i - k + m = 0, 31 - 6 = -5*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 118 - 27 - 91.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 792361640?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)*-4)\/sqrt(6).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7242118839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -486*v**6 - 1178*v**2.\nAnswer: -58320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/21)\/(4\/(-7))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 281*q**2 - 15*q + 21. Is i(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/2 + 409862*w - 83993429522 = 0.\nAnswer: 409862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2\/(-3))*(38 - 5027120\/42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -567, 5, 46, 1, -3.\nAnswer: -567, -3, -0.2, 1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 230239481*n**4 - 272638229 wrt n.\nAnswer: 920957924*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1133156 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3\/8, 4.2, 10, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13565*n**4 + 101*n**2?\nAnswer: 325560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477591856 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94)\/(-40) + 190\/475?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-9))\/((-10)\/(-12)*26\/130).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -48. Suppose v = -4*q - q + 10. Suppose 3*i - 58 = q. Solve -p + 6*p + i = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2543035429?\nAnswer: 11, 479, 482641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 1270*r**2 + 11025*r.\nAnswer: 5*r*(r + 9)*(r + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23807470409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3786 (b) 2 (c) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682481053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2606079 and 34161.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -5. Suppose -90*g = -88*g. Suppose -s*r + 16 = -g*r. Solve 0 = d + r*l + 15, -l + 19 - 4 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133168455 and 118371960.\nAnswer: 1065347640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + 8 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2424, -2573, -2742, -2937, -3164?\n\"Answer: -g**3 - 4*g**2 - 130*g - 2289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -0.5, 0.01 in descending order.\nAnswer: 2, 0.01, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-7)\/(-98)*-4)\/((-2)\/23)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116689397 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 411*r - 358*r - 574*r to f*r + k and give f.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145919\/16 - -9116. What is the common denominator of r and -125\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:08 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**3 - 5*r**2 + 5*r - 4. Let n(k) = 5*k**3 - 2*k**2 + 2*k - 2. Let q(u) = u**2 - 3*u - 2. Let i be q(0). Give i*b(o) + 5*n(o).\nAnswer: 3*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19129 by 1.\nAnswer: -19129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*a + 0*a + 64 = -6*w + 42, 2*w + 4*a - 44 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 69 + -151 + 70?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 63. Solve 5*h + 13 + n = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -5*x**3\/6 - 15*x**2\/2 - 290*x. Let d be (-38)\/4 + 4\/(-8). Calculate the remainder when l(d) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(13) - 2*sqrt(13)*-5) + 0.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 10132436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 3. Let n be f(2). Is 1\/53 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * -2.1871\nAnswer: 5.46775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 + 231 = -3*c. What is the remainder when ((-69)\/6)\/((c + -5)\/8) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 - 4*t + 3. Is 15 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011980079 to six decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-6) - (-6)\/9. Suppose -m*a + 88 = 16. Suppose -5*c - 2*v = -23, -3*c + 7 = 4*v - a. Solve 16 = 4*t, 5 - 13 = -5*x + c*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9556*2\nAnswer: 19112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, k: 9, t: 2}. Give prob of picking 1 k and 2 t.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 7*j - 4. Let v be n(-6). Let d be (-906)\/(-30) + (-1)\/5. Calculate the remainder when (-2)\/(-2)*(v + d) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438000 divided by 10950\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k*k**(-3\/7))\/k)*k**(6\/7)*k*k assuming k is positive.\nAnswer: k**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 2\/7 (b) -23 (c) -44\/17 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383889*f**2 + 296444*f**2 - 108137*f**2 - 105640*f**2.\nAnswer: 466556*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(7\/4)*l\/(l*l**(-2\/35)) assuming l is positive.\nAnswer: l**(-97\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4535532 (base 6) to base 12.\nAnswer: -b15a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 11. Suppose -v = -4*i - l, -2*v + 20 = 8*i - 3*i. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/(-950)*19)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4565, 4632, 4699, 4766, 4833, 4900?\n\"Answer: 67*h + 4498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30477 - 12852. Let v = -2062141\/117 + d. Let b = v + -3283\/234. Calculate the common denominator of b and -5\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 30. Which is the nearest to -1? (a) -0.02 (b) -2\/17 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 290 = 550. Let r = 19 + -7. Calculate the greatest common factor of x and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6755 - 2943. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7151759 millennia to months.\nAnswer: 8582.1108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -6 - (-2 - 28\/(-5)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q**2 - q + 0*q - 7*q**2)*(3 - 3 - 3*q + (-1 - 1 + 3)*(0*q - q + 0*q) - 3 + 3 + 2*q) as p + y*q**3 + v*q**2 + s*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -3, 0.5, 1\/11, 4 in increasing order.\nAnswer: -11, -3, -2, 1\/11, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2089*m - 26835. Give s(13).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 98*m - 1. Does 3 divide b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 11:54 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23265569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = 180*h + 2535 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9470 and 12300.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d**3\/15 + 14*d**2\/5 + 48*d\/5 + 70. Find z such that x(z) = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(1\/8)*j*j))**(-13)\/(((j*j**(-11))\/j)\/j**(2\/65)))**(-4) assuming j is positive.\nAnswer: j**(-13341\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2069 + -68. What is the greatest common divisor of 138 and g?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 96239568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(-200)\/650. Put -260, 3, x in increasing order.\nAnswer: -260, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.90001384 - -13.9. What is v rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77.9 + -5.1. Let y = l + 82. Let z be (-1)\/(-2) - (-11)\/(-14). Which is the nearest to -1\/4? (a) z (b) -3\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n + 44 = 0. Suppose -f - 3*f - n = 0. Let d(y) = -y - 3. Let w be d(f). Calculate the greatest common divisor of 20 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Let j(b) = 1 + 5 - 5*b**2 - b**v + 6*b + 0*b. List the prime factors of j(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513225526?\nAnswer: 2, 11, 23328433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i + 2. Let o = i - -12. Let t(j) = -11*j. Let f be t(-1). Is o smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(2\/((-976)\/18284)). Let h = -2\/653 - f. Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 192*f. Let i(w) be the third derivative of -17*w**4\/24 - 1018*w**2 + w. Determine i(n(z)).\nAnswer: -3264*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/172*(-2)\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -123850, -123861, -123888, -123937, -124014?\n\"Answer: -p**3 - 2*p**2 + 2*p - 123849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 2:21 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356502040 to the nearest integer?\nAnswer: 18881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:28 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 28, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 1376512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 6) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + 3*i - 1. Let j(q) = -17*q**2 - 10*q + 44. Let k(g) = -5*g**2 - 3*g + 14. Let z(u) = 8*j(u) - 25*k(u). Determine -13*m(f) - 6*z(f).\nAnswer: f**2 - 9*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(5*672\/(-1280))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:35 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12350162\/93 or -132798?\nAnswer: -132798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31673743 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3950316 and 5214?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 + -4) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.793 >= -4.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 - v - 1. Let q(a) = -a**2 - 1. Suppose 15 = -2*f - 2*n + 1, f + 12 = -2*n. Calculate f*q(x) - g(x).\nAnswer: -2*x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 z when three letters picked without replacement from wzwwzzwwzwzwzzzwzzwo?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 5*w**2 + 0 - 19\/6*w**3 + 0*w - 1\/24*w**4. Suppose 87*c - 29*c = 0. What is i(c)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*o = 172*o + 50 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756571?\nAnswer: 3, 918857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -16*u**3 - u**2 - 3*u - 1. Let f be r(-1). Let g(h) = h**2 - 19*h + 46. Let d be g(f). Solve d = -2*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) -1 (c) 6 (d) 0.0327 (e) 2\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2064 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1097, 5, 9\/8 in increasing order.\nAnswer: -1097, 9\/8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(32\/(-52))*(-1)\/(4*(-8)\/(-64))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + 4*w**2 - 1 - 3*w + (10 + 3 - 1)*(2*w**2 + 0*w**2 - 4*w**2)*(11 + 23 - 253) to the form m*w**2 + i*w + q and give m.\nAnswer: 5260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95901774 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.42270245 and 64289?\nAnswer: 64287.57729755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u. Let a be c(-23). Let n = a + -85. Solve 6*z + n = -5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/3, -7\/5, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74900 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-15))\/(20\/(-25)). Let b be (-3 - 172\/(-48))*(-36)\/(-56). Factor b + 0*i**3 + 3\/8*i**4 + 0*i - q*i**2.\nAnswer: 3*(i - 1)**2*(i + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-12)*(-2)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:18 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 - -14531.314457?\nAnswer: 14756.314457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.133 + -0.093. Which is the third biggest value? (a) 3\/4 (b) j (c) 2 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4009 divided by -5\nAnswer: 4009\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114) + sqrt(114))\/sqrt(6))**2 + -4 + 3.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/880 and 89\/40.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28759 in 3, 6.2, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 4382. Let k(q) = 4*q. Give k(u(h)).\nAnswer: -12*h - 17528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.4 (c) -396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -503?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 3\/4 (c) -3 (d) 0.1 (e) -93\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5 + (-18)\/(-27)*104\/160\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/34399120 and -51\/424?\nAnswer: 34399120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7446\/5 + 1489. Let p = -7 - -8.2. Let f = 0.2 - p. Which is the nearest to f? (a) x (b) 0.2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.1 (c) -1\/3 (d) -3 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2. Suppose 4*l = 6 + 26. Suppose -14 = -3*c + 2*c. Let j(y) = -l*y + c*y - 4*y. Determine j(m(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 14260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + i**3 + 4*i - 6*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g*k**2 + 5695*g*k + 21*g - 71270*k**2 - 13*k wrt g?\nAnswer: -2*k**2 + 5695*k + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3 = -1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-10 - -1 - -9) - (1 + -31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 18 - 100 - 5*d)*(d**3 - 3*d**3 + 3*d**3).\nAnswer: -5*d**4 - 141*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 143*z**2 + 38*z - 47. Let w(p) = 16*p**2 + 4*p - 5. Let n(f) = 6*i(f) - 57*w(f). Let x(o) = 2*o. Calculate n(x(r)).\nAnswer: -216*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -5, -24, -51, -86, -129, -180?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-14)*2274\/(-2). Let f = w - 162. Suppose 4*s - 17 = z, 2*s + 2*z - 3*z = 9. Sort 0, f, s in increasing order.\nAnswer: 0, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b - 4*b)*(343 - 688 + 343 + 6*b).\nAnswer: -18*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-92)\/(-18)*-2 - -10. Let i = -1.3 - -10.3. Let y = i + -9.1. Which is the closest to y? (a) -5 (b) p (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -7211, -17401, -31655, -49979, -72379, -98861, -129431?\nAnswer: -164095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 597 + -389. Suppose 2*m - 4*r - 178 = 0, 0 = -6*m + 4*m - 2*r + o. Calculate the highest common factor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2607\/4 - 653. Let y(c) = -c**2 + 3*c - 1. Let o be y(3). Let a(l) = 6*l - 1. Let u be a(o). What is the nearest to u in 1\/6, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5758 (base 15) to base 3\nAnswer: -221102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -5*l**4\/12 + 3*l**3\/2 - 4*l**2 - 1948*l. Calculate y(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26073 and -0.4.\nAnswer: 26072.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2435 + 4*q - 4152074*q**3 - 6*q + 4152076*q**3)*(-2 - 2 + 1 + (0 - 3 + 4)*(2 + 0 + 0)) to the form t + u*q**3 + j*q + h*q**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8236 is divided by 681?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10298 times 0.6\nAnswer: 6178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by -43?\nAnswer: 239\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5*n**2 - 26*c**5 - 216*c*n**2 - 3*c wrt c?\nAnswer: -40*c**3*n**2 - 520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3026 + 3026 + 169*c**2 to y*c**2 + g + h*c and give y.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-12))\/(17\/578). Let m(y) = -2*y**3 - y**2 - 6*y + 4. Let d(o) = 6*o**3 + 3*o**2 + 17*o - 11. Determine a*m(x) - 6*d(x).\nAnswer: -2*x**3 - x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1090343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -3, -0.5 in decreasing order.\nAnswer: 114, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2 + 6*r + 4. Let n be a(-2). Solve -5*s - n = 0, 5*q + 2*s + 1 = 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 317*g = 312*g + 30, z - 11 = -3*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = 4*f. Suppose 3 = f*u - 11. Suppose 4*o = 2*b + 70, -5*b + 12 = -b. What is the remainder when o is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 53. Suppose c = 6*u - 71 + 29. Let x(v) = -v**2 + 4*v + 21. Let s be x(u). Solve s = i - 5*a - 5, -i - a = -2*a + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 218 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)\/u)**32\/(u**1*u\/(u\/u**4))*(u**1)**28*(u*u*u**(-1\/4)*u*u)\/(u*u\/u**0) assuming u is positive.\nAnswer: u**(111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/(-22)*(-2)\/(-4) and -35*6\/4 + 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97\/2 of a decade?\nAnswer: 5820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136? (a) -5\/4 (b) 13 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + u - 1. Let y(b) = 41*b + 615. Let l be y(-15). Calculate c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3185847, 6371695, 9557543, 12743391?\n\"Answer: 3185848*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000625536 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvmvvvvvvvv. Give prob of picking 4 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - (-8 + 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 104 = 3*f, 2*k + 4*f = 3*k - 26. Solve -3*i + 13 = c, -5*i + 7*i + 5*c - k = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -26. What is the closest to c in -0.3, 5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 + 3)) + (-5 + 3 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1776061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11\/5)\/q*q**(-12\/11))**(-2\/27) assuming q is positive.\nAnswer: q**(472\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/7)\/((-23)\/161). Solve -2*m + 17 - s = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1208, 818, 394, -82, -628, -1262, -2002, -2866?\nAnswer: -3872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 - -3?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96862031 * -0.1.\nAnswer: 9686203.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 52*((-15)\/80)\/(8\/(-96))?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 0*s + 5*s + 5 - 4*s. Let o be h(-3). Suppose -o = 3*x - x. Which is the closest to x? (a) 1\/7 (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 4*r. Suppose -12 = -4*m + m, 0 = -5*f + 5*m - 55. What is the units digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -19*l**2\/2 + 11*l - 469. Determine r(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + -7 + (9 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 1. Let w be o(-1). Let h(s) be the second derivative of 0 + 0*s**2 + 3*s - 1\/6*s**w. Let m(y) = 3*y. What is h(m(j))?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020749114 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m - 52 = 0. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.1. Let u = i - 1. Let f = 5818 + -11637\/2. What is the smallest value in u, f, -3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 11*t - 1\/6*t**4 + 1\/30*t**6 + 0 + 9\/2*t**2 + 2*t**3 - 1\/5*t**5. Factor q(g).\nAnswer: (g - 3)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24053 (base 7) in base 15?\nAnswer: -1c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -39, 4, 0, -1113.\nAnswer: -1113, -39, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3213465*m**3 - 1210392 wrt m?\nAnswer: 9640395*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2. Let p(m) = 114*m. Give p(h(l)).\nAnswer: 114*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477390909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19079156813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36*3\/2*(-2)\/(54\/(-567)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, k: 4, j: 3, b: 2, c: 2, o: 2}. Give prob of picking 1 o and 2 b.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 25*g**2 + 12*g**2 - 13.\nAnswer: -g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7066 + 74?\nAnswer: 7140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59381.4 months?\nAnswer: 494.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 714, 739, 778, 825, 874, 919, 954, 973?\n\"Answer: -f**3 + 13*f**2 - 7*f + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*a**2 + 37*a**3 + 43*a**3 + 43*a**3 + 614*a**2 - 126*a**3 - 291*a**2.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)\/(k**(-12)\/k*k))\/(k**(-16)\/k*k**(2\/39)) assuming k is positive.\nAnswer: k**(583\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {i: 1, c: 7, s: 1, v: 4, u: 5, f: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhizdssiisihahhhshhh. What is prob of sequence sad?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 3*y**3 + 0*y)*(4 - 2 - 6) + 12*y**2 - 3*y**2 - 4*y**3 - 13*y**2.\nAnswer: -16*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057937425 rounded to five dps?\nAnswer: 0.00579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 286267573 and -0.2.\nAnswer: 286267572.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i + 10 = 79. Suppose -y + 491991 = -i*d, 3*d = y - d - 491988. Round y to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1674f (base 16) to base 7.\nAnswer: -532113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*b = -2*x + 97, 3*b = -15. Let c = 135 - x. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/36188 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546 or -545?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3, 1, 8 in ascending order.\nAnswer: -5, -3, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31464? (a) 0.2 (b) 3 (c) -1 (d) 576\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 4*m + 23. Determine i(-13).\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 + 2 - -23) + (4134 - 4142)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**5 - 300*g**4 + 5305*g**3 - 11330*g**2 - 283140*g - 266200 = 0. What is g?\nAnswer: -5, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000996374 to 7 dps.\nAnswer: 0.0000996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002165082 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 - 4*x + 12. Calculate l(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 19?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 632586031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78996*l**5 + 2*l**4 - 2*l**3*r + 21*l**2*r - 780*l*r - 6*r wrt l.\nAnswer: 4739760*l**2 + 48*l - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -310, -596, -882?\n\"Answer: -286*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z**2 + 105*z + 180. Let v be m(12). Let u = 4 + -1. Solve u + 7 = -5*w + 5*b, -2*w - b + 11 = v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*i**2 + 0 + (-1 + 3*i + 1)*(0 + 0 + 3*i) + 2*i - 2*i + i**2 + (i + 3*i - 2*i)*(-i + 0*i + 2*i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -3 + -6 - -40\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p + 3. Let d(r) = -11*r - 5. Let b = 11 - 6. Let h(o) = b*n(o) + 3*d(o). Let w(q) be the third derivative of -q**5\/30 - q**2. What is h(w(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - g - 7*g - 8*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7118a (base 15) in base 3?\nAnswer: 200012020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1573.722 and 24?\nAnswer: 37769.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -5. Let t(v) = 6*v**3 - 3*v**2 - 16*v + 31. Let w be t(2). Calculate the greatest common factor of b and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1265 + 55*j - 53*j + 92 - 1319 + (0*j + 2*j - j)*(-1 + 3 - 3).\nAnswer: j - 2492","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*b + w = 81*b - 631, 5*b - 3*w = 3165. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 2*m**3 - 58 + 68 - m**2 - 10 to i*m**3 + r*m**2 + p + k*m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 smaller than -15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6677, 6644, 6611, 6578, 6545?\n\"Answer: -33*v + 6710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - -502. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16.5, -283, 5, 2\/13, 1\/3, 1\/14?\nAnswer: -16.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*p = 592*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.17 - -9. What is the closest to 1 in z, -0.2, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + 91*a = 43*a + 192 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 20*y**2 + 19*y - 34. Let u be g(-21). Let m = -3 + u. Let z(r) = r**2 + 5*r + 4. Let n be z(-4). Put -3, m, n in decreasing order.\nAnswer: m, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.313885 micrometers?\nAnswer: 0.000000007313885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -2\/35 (c) -1073635\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h + 2 - 1 - 2. Let k be (1 + 0)\/(-1) - 0. Let l be n(k). Solve -2*y = -3*y - l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2))\/a**8)**34 assuming a is positive.\nAnswer: a**(-255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*23\/(115\/1500). What is the highest common divisor of g and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.06?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(-5 + -4*sqrt(1331)*2 + 1*sqrt(1331) + 5))**2.\nAnswer: -154*sqrt(11) + 65220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/7 and -38\/422489.\nAnswer: 2957423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 172, -31, -1, -3 in descending order.\nAnswer: 172, 4, -1, -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 7*y**2 + 4*y + 5. Let n = -45 - -51. Give t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17451 - 17454. What is the fourth smallest value in o, -4, 2\/103, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15702 and 6?\nAnswer: 15702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4976 - 4971. Solve y - 3*p = -5, -8*p + 35 = k*y - 3*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, o: 1}. Give prob of sequence lq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-127*f**2 + f**2 + 335*f**2)*(-8*f - 5*f + 5 + 16*f) in the form n*f + m + p*f**3 + q*f**2 and give q.\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r + 1. What is the tens digit of (0 + 3)\/r + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*j + 230 = 0, 7*j - 6*j = 5. Let y = 55 - i. Let l = -130 - -135. Solve -p - g + y = -2*p, -l*p - 12 = -g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -202427*i + 3441290. Give a(17).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.32 + 0.69. Let u = f + 2. What is u rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8743, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 - -13 - 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 3*a + 0*a + 4 - 4 - 5*a + (-5 + a + 5)*(-1 - 2 + 5) - a + 0*a + 0*a)*(2 + 1 - 1) to the form f*a + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63344 - 0.5.\nAnswer: -63344.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -2\/9, -138\/11 in ascending order.\nAnswer: -138\/11, -7, -4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101111021120120210 + -11?\nAnswer: 101111021120120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 168?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyy. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*u + 81*u - 109*u.\nAnswer: -201*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062373 a multiple of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n - 11. Suppose 2*d - 36 = -4*s, -n = s - 3*d + 2. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1080204 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2\/23, 3, -4, 0.2 in increasing order.\nAnswer: -4, -2\/23, 0.2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208*x**4 - x - 21 wrt x.\nAnswer: -2496*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40465 divided by -2.\nAnswer: 40465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:12 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -4.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, and 1 n when three letters picked without replacement from gfffffffgffffggfgfnk?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.1, 1\/13, 2\/245, 4\/37 in increasing order.\nAnswer: 2\/245, 1\/13, 0.1, 4\/37, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/8)\/y**(-8\/5) assuming y is positive.\nAnswer: y**(79\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.185 (b) 2 (c) -19 (d) 1\/3 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:24 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Suppose 2*c + 5*g = -6, 5*g + 12 + d = 3*c. Solve 3*b = b - 4*x + 28, 3 = c*b - x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37004196.\nAnswer: 2, 3, 3083683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3, -o + 2*o - 5*x = 22. Let l(b) = b**2 - 9*b + 3. Let d(k) = -13*k - 2 + k**2 + 4 + 1 + 1. Determine o*l(a) - 5*d(a).\nAnswer: 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20669?\nAnswer: 11, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - 15.09. What is i rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 7*a**2 - a + 7. Let j be d(7). Let r = j - -4. Let u = r + -3. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 40 + 12. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let o be n(2). Let g(q) be the first derivative of -1\/12*q**3 + 0*q + o + 1\/4*q**2. Factor g(h).\nAnswer: -h*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11 = 3*m - 0*q, 3*m - 4*q = 13. Suppose m*x = -5 - 1, 3*x = -3*n. Let -4\/3 - 1\/3*c**3 + 0*c + c**n = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04084*-0.101.\nAnswer: -0.00412484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823619937.\nAnswer: 3, 7, 39219997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846709?\nAnswer: 751, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:52 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3644*g**2 + 5634*g**2 + 1400*g**2 in the form b + f*g + s*g**2 and give s.\nAnswer: 10678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 156255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.06185, -1\/4, -371?\nAnswer: -0.06185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1592 and 3.\nAnswer: -4776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -856 and -1477404.\nAnswer: -1478260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(54 + 25*d - 54) + d + 0*d - 2*d)*(-2 + 2 - 1)*(-11 + 10 - 9).\nAnswer: 240*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73510, 77917, 82324?\n\"Answer: 4407*x + 69103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27339\/22 + 1243. Let l be ((-2)\/30)\/((-9177)\/(-35)). Let a = -310693\/55062 + l. What is the common denominator of a and w?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 159*l**2 - l + 2*l + 394*l**2 - 1 - 14*l**2 to the form q + m*l**2 + k*l + w*l**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5 + 816*r**4 - 54496*r**3 + 1232232*r**2 - 2304220*r + 1125672 = 0. Calculate r.\nAnswer: 1, 51, 62, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/54 and 46\/9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9673 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125381945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -6 + 1 + 462752 + -1. Let o = d - -467252. Round o to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(5\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.25422331 to 0 decimal places.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 501*a*g**3 + a*g**2 + 64*a*g*h**2 + 10*a*g - 25*a*h - 12*g**3*h**2 wrt h?\nAnswer: 128*a*g*h - 25*a - 24*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2385 - -57.8.\nAnswer: -2327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 0. Let l be 5 - s\/((-5)\/2). Suppose 0 = -2*g - l*g + 325. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3628, 3622, 3606, 3574, 3520?\n\"Answer: -w**3 + w**2 - 2*w + 3630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/4*(-1)\/4. Let j = 5773\/22971 - -3\/589. Let o = 14\/13 + j. What is the nearest to -0.3 in o, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*q - 1658*d**2 + 3*d + 353*q wrt d.\nAnswer: -4*q - 3316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1 - 17*u - 5 + 12*u + 2. Let y(b) = -6*b - 3. Let n(o) = 3*r(o) - 2*y(o). Let m(f) = 3*f. Calculate m(n(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + ((-12)\/(-15))\/(2\/(-5)). Let r(z) = -3*z - 4. Let y be r(o). Sort 0, -2, -3, y in increasing order.\nAnswer: -3, -2, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 44 + 41 = 0. Suppose -p = -5*s + 13. Suppose q - 12 + 3 = g, 0 = -3*q + g + 21. Calculate the lowest common multiple of q and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.36 * -0.0912\nAnswer: 1.218432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssssqsssssssqsqsss. Give prob of sequence ss.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(10\/(-4) + 2). Let n(r) = 2 + r - a. Let q(v) = 3*v + 6 - 6. Calculate q(n(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:24 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1999, -2000, -2001, -2002?\n\"Answer: -t - 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2480685727.\nAnswer: 13, 190821979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1050, -0.4, 5, -2, 3?\nAnswer: -1050","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 32*b - 348. Calculate y(-18).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v + 3*v + v)*(0*v**3 - 7*v**3 + v**2 + 6*v**3) to l*v**4 + p + f*v + d*v**3 + z*v**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**6\/720 - w**5\/20 + 3*w**4\/4 - w**3\/6 + 15*w. Let y(u) be the third derivative of t(u). Give y(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 530545950.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - -3.33. Let k = 1.31 - 127.31. Let u = 126 + k. Is o bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5008 divided by -626\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 1. Let p(j) = j + 3. Let n be p(2). Suppose -f + 4 + 5 = -n*l, 5*l + 3*f + 13 = 0. Let g = l - 1. Calculate v(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39697003 to the power of 1\/2, to the nearest integer?\nAnswer: 6301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 81*p**2 - 1425*p + 284. Calculate r(-55).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of (-5937)\/(-7) - -8*2\/(-112)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 5, -1844?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 165279 divided by -111\nAnswer: -1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 5. Let q(c) = -c**2 - 16*c - 11. Let t be q(-15). Suppose -20 = t*j - 16. Let v(h) = h - 1. Calculate j*u(d) - 6*v(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/21 - 67672\/7392) + 80\/64.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(4)*3 + (sqrt(16) - ((sqrt(1024)*-1 - sqrt(1024)) + sqrt(1024) - sqrt(16))))*4)\/((sqrt(392) + -3*-1*sqrt(392) + sqrt(392))*-6).\nAnswer: -26*sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9778091369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-42) - 194\/(-7). Suppose -23*o = -r*o. Solve o*i - 5 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 612, 1213, 1810, 2403, 2992?\n\"Answer: -2*f**2 + 607*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.3 - -2.3. Let g = -6 - v. Which is the closest to -1? (a) 3 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*p - 140*p = 2376617. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f. Let o(q) = q**2 + 8*q + 9. Let j be o(7). Let u = -110 + j. Let r(y) = -u*y - 13 + 13 + 5*y. Give b(r(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 4. Let b be z(-1). What is the third biggest value in b, 2, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 46*m**2 - 6237*m - 278639. Determine x(-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/263295 and -49\/1509558.\nAnswer: 22643370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -42*q - 2 + 9*q + 17*q + 15*q. Let u(k) = 2*k + 3. What is 3*r(b) + 2*u(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1905 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 10*s - 43 = 22. Suppose 0 = v - 0 - 2. Suppose 5*t = -3*f + 22, -v*f - 46 = -5*t - 19. Sort s, f, 3.\nAnswer: f, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 17*g**2 - 7*g**2 - 9*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -27 + 1*((0 - -4) + -4). Is r >= -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608809, 608774, 608739, 608704?\nAnswer: 608669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*i**2 + 3*i**3 - 46*i + 8*i**3 - 10*i**3 wrt i.\nAnswer: 6*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 18. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*h + 40 = 0, 0 = -4*v - 2*h - 0*h + 50. What is the derivative of 10*n - v + 5*n + 4*n wrt n?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + ((-2 + sqrt(1377))*-1 - sqrt(1377)))*1 - (sqrt(1377)*-2 + -4 + 2*sqrt(1377)*-2)) + 2)**2.\nAnswer: 720*sqrt(17) + 34489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 - -5126?\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57\/(-76) + ((-2)\/7 - 6612263\/(-196))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 46. Let o(j) be the first derivative of -4*j**5 - j**3 + 21 - 9*j**c + 7*j**3 + 9*j**2. Find the third derivative of o(y) wrt y.\nAnswer: -480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 1. Let w be i(1). Let p be 4*w*3\/(-2). Let l = 1 - p. Solve -l = -2*k - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose v = -s + 5. Suppose 0 = j - v*j + 10. Put 0.4, -2\/19, j in descending order.\nAnswer: j, 0.4, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l. Let p(f) = -29*f**2 + f. Calculate c(p(a)).\nAnswer: 87*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -240 - -5260142?\nAnswer: 5256602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-3 + 4) - (-1 + 2). Suppose 0 = -l*v + 3*v + 15. Is v >= -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a - 103. Suppose 0*j + j = -17. What are the prime factors of x(j)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r - 27. Let k = -7 + 28. Let l = -16 + k. Is 8 a factor of u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -249, -617, -1071, -1617, -2261, -3009, -3867, -4841?\n\"Answer: -p**3 - 37*p**2 - 250*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -9461\/15752 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18646+-11\nAnswer: 18635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4282 + 8885. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2749498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245 + 436. Let m = 191.4 - w. Let j be (-28)\/12 - 2\/(-6). Which is the second smallest value? (a) j (b) m (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 208 less than or equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/9 + 2415622\/342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1910069770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**4\/4 + 11*b**3\/3 - 13*b**2\/2 - 4*b + 16. What is the smallest common multiple of p(-12) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 254, 867, 2068, 4055, 7026?\n\"Answer: 33*k**3 - 3*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 7. Let k(t) be the third derivative of 0*t + 1\/24*t**4 + 0 + 9*t**2 + 0*t**3. Let y(b) = d(b) - 3*k(b). What is y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*i - d**3 - 3*d**2*i + 97*d*i + 2*i wrt d?\nAnswer: -6*d*i - 6*d - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wddw when four letters picked without replacement from {w: 1, d: 14, c: 2, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**4\/24 + 2*y**3\/3 + 3*y**2. Let h be v(8). Let w be (-32)\/66 - h\/6. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -2 - 1\/9*g**3 + 1\/30*g**5 + 0*g**4 + 0*g**2 - g. Let r(d) be the first derivative of m(d). Factor r(v).\nAnswer: 2*v*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 168?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-280)*-7*5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10449 and 77\/2727.\nAnswer: 1055349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 18*d**2 + d + 1. Let p be l(2). Let g = -46 + p. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 187*g + 239. Give y(-61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/(-169) + 36\/65. Factor -2\/5*x**3 - h*x**4 + 0 + 0*x**2 + 0*x.\nAnswer: -2*x**3*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - 2*w + 4. Let c(v) = v**2 + 1. Let b(o) = o + 3 + 8 - 3. Let p be b(-7). Let m = 45 + -50. Determine m*c(z) + p*a(z).\nAnswer: -z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 2*j**2 - 6. Let p(q) = 2*q. What is v(p(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8937776?\nAnswer: 2, 558611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -803, -1776, -2749?\nAnswer: -3722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - 4*p)*(-203 + 11*p + 109 + 106).\nAnswer: 22*p**2 + 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*w - 4 + 23*w - 177*w**3 - 47*w**2 + 25*w**2 + 23*w**2 - 51*w wrt w.\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7904380 divided by 3410\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4417 = 919. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/(-1))*(-7)\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 93*o - 90*o - 0*j - 122, -3*o + 4*j - 76 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 63?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**5\/10 + 7*v**4\/8 - 11*v**3\/6 + 5*v**2\/4 - 1241. Factor x(b).\nAnswer: -b*(b - 5)*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*w - 134*w + 5*p - 15, 3*w = 3*p - 39 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 3:36 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 348883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42439004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 10*m + 2. Let y be p(-10). Solve y*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 20. Let i = 10 - 21. Let w be (-2)\/i + (-168)\/(-44). Solve -r = -y + 2, l = -r + w*y - 4 - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - (-1191)\/(-15). Let j = 233 + u. What are the prime factors of j?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766799 is divided by 162745.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -7, 86, 215, 392, 629, 938, 1331?\nAnswer: 1820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4439 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + 8 + (93 - 145).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25900 and 97440?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/720 and -79\/2240.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 4:34 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -769, -919, -1177, -1549, -2041?\nAnswer: -2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11477 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -683*r**6 - 43803*r**5 + 86307636*r**2.\nAnswer: -81960*r**3 - 2628180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5 + 1275*o**4 + 37845*o**3 + 64105*o**2 - 183960*o - 211500 = 0. What is o?\nAnswer: -25, -3, -1, 2, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 161095604 divided by 63274?\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 5*a**2 - 16*a - 8. Let f be p(-7). Solve -11*i + 158 - f = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838b2 (base 12) in base 15?\nAnswer: 36108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4556 and 349996.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 11\/42*u**7 + 0 + 0*u + 45*u**2 + 13\/2*u**5 - 20\/3*u**3 + 35\/6*u**4 + 53\/24*u**6. Let y(h) = 0. What is h?\nAnswer: -2, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -44*z + 1542. Let i be s(35). Factor 2\/9*g**i - 8\/9 + 2\/9*g**3 - 8\/9*g.\nAnswer: 2*(g - 2)*(g + 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29039 * -2.\nAnswer: -58078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126*118893.\nAnswer: -14980518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2695)\/245*100\/55.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 6*h + 10. Let a be m(8). Let t be (-13199992)\/(-12) - a\/9. What is t rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gnxgagxgpzgngg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1001, -3 in ascending order.\nAnswer: -5, -3, 1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012020 (base 4) in base 16?\nAnswer: -3188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14811, -29525, -44239, -58953?\nAnswer: -73667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from 354.9123.\nAnswer: 354.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296693, 296929, 297165?\nAnswer: 297401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**3 - 28*b**2 - 20*b - 179. Let u(g) = -4*g**3 + 14*g**2 + 10*g + 88. Let p(y) = 3*r(y) + 7*u(y). Let i be p(15). Solve 4 = -i*d + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 6*w + 4. Let u be l(-5). Let i(y) = -3*y**2 - 3*y + 4. Let r be i(-3). Let b = r - u. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + n + 196, -4*a - 5*n + 89 - 487 = 0. Suppose 153 = -7*z - 44*z. Which is greater: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1512 and 1503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. Let q = v - 1. Suppose -16 = 29*x - 31*x + o, 3*o - 15 = -x. Calculate the lowest common multiple of q and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivuvvi. Give prob of sequence uuv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 13*p**2 - 2*p - 26. Is x(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -18, -74, -182, -360?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1145 - 1144. Which is smaller: -3\/31 or h?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 - 6. Suppose 4*u - 8*u + 8*u = 0. Determine k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m - 4. Let z be p(7). Let d = z + -23. Round d to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55\/(-65) - 6\/39. Is (-2)\/(s - 1)*191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1786 + 1783. Let v(k) = k**3 + 2*k**2 + 9*k + 11. Give v(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(130)*-4 - (sqrt(130) + (sqrt(130) - -3*-4*sqrt(130)) + sqrt(130)))\/(-2*sqrt(810)*-3 + 5*sqrt(810)*2).\nAnswer: 29*sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.158937095 rounded to 4 dps?\nAnswer: 0.1589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 406 and -2 + (-689)\/(-39) + 2\/6.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2312632.12 to the nearest one hundred.\nAnswer: 2312600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 4*s + 2. Let a(p) = -p**2 - 1. Let f(l) = -3*a(l) - n(l). Does 6 divide f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511263*-8.\nAnswer: 4090104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/63)*(u*u**(-7\/2)\/u)\/u*u*(u\/(u\/(u**(-4\/3)\/u)))\/u**(1\/17) assuming u is positive.\nAnswer: u**(-12689\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7615839 and -518.7.\nAnswer: -519.4615839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -22. Let w = 33 - h. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 284 = t. Suppose 5*u + 74 - 7 = -r, -t = 4*u - 5*r. Let h = 18 + u. Solve h*x - x = 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-10)*(-3)\/6*78\/(-351)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x - 120 + 756 = -300 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 23*h - 24. Let n be m(-14). Let y = n - 102. Suppose -40*q + 41*q - 1151 = y. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351335250 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.750699 minus 4?\nAnswer: -12.750699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**6\/150 - 117*a**5\/100 + 74*a**4 - 4960*a**3\/3 - 19200*a**2 - 10789*a. Factor g(m).\nAnswer: (m - 40)**3*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = -19*s - 152 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3796 - 3808. Which is the second biggest value? (a) -0.4 (b) -5 (c) 0 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18898003129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-32)*(-33 - 27752\/(-840))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 2*c**2 - 6*c**2 + 6*c**2 + 8 + c - 3*c**2. Give n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/185053128 and -47\/215895316.\nAnswer: 1295371896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away -48739001696.5?\nAnswer: 48739001696.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 5*f + 10, 7281*k - 2*f = 7277*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + 167. Suppose -2*n + 17 = 4*r - 21, r - n = 11. Let y be 2 - ((-48)\/m)\/((-4)\/r). Solve y*f - f + 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*a - 116620, 3*v + 96661 - 18954 = 2*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + d. Let j(c) = c**3 - 4*c**2. What is 3*h(t) - j(t)?\nAnswer: -t**3 + t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 3. Let l be n(9). Let c(p) = -5*p + 0*p + l + 2*p + 2*p. Let x(f) = -1. Calculate 2*c(y) + 10*x(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 40043*m**2 + 1.\nAnswer: 40043*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -67826934 divided by -22608978?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 260?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(7) + 0 + -5)**2*-2*-4.\nAnswer: -64*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 535812?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -82. Let j = 5.6 + t. Let q = 2.39999952 + j. What is q rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 4. Suppose 16*k = 9 + 23. Let u(t) be the third derivative of 0 - k*t**2 + 0*t + 1\/6*t**3. Calculate -f(c) - 5*u(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 106*m - 58. Let a(o) = 17. Give -4*a(u) - d(u).\nAnswer: -106*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10450460 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 12. Let l be p(-12). Suppose l = 4*s + j - 83, -5*s + 186 = -j + 71. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233228404 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5481541233 to the nearest integer?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -707509?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 260 + 2 - (17 - 21). Calculate the greatest common divisor of d and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 6*q**2 - 6*q - 7. Let g be s(7). Suppose -z + g + 8 = 0. Calculate the lowest common multiple of 6 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2 (c) -5 (d) 0.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16 - 0.46. Let k = 0.157 - -2.843. Which is the third smallest value? (a) -2\/35 (b) z (c) k (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21234 is divided by 51?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 13. Let n(c) be the third derivative of -1\/60*c**5 + 11*c**2 + 0*c + 0*c**3 + 0 - 1\/24*c**4. Give n(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*t - 138, -72 = -2*t - 4*v + v. Let z = 229 - 98. What is the remainder when z is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169101809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41737\/7 - 5951. Suppose 0 = -5*b - 2 + 17. Determine a so that -38*a**2 - 32\/7*a**5 - 8\/7 - 338\/7*a**b - 176\/7*a**4 - q*a = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 1\/10 in decreasing order.\nAnswer: 6, 3, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189770171?\nAnswer: 23, 29, 107, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468108323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(2 + 0))\/(-2). Let a = 942.15 - 941.95. What is the closest to 0.03 in 2\/3, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 - 4*w - 8. Let k(c) = -5*c**2 + 3*c + 7. Let f(p) = 4*a(p) + 5*k(p). Suppose 6 = g + 1. Suppose 2*h - g*h = 12. Calculate f(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/7 - 7166*s**2 + 6595248*s\/7 - 217355688\/7 = 0.\nAnswer: 66, 24949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 19. Solve -3 - 13 = -i*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 5*j. Let g be ((-12)\/(-9))\/(5\/(-15)). Let y = -5 - -20. What is the remainder when p(g) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 + 7*z - 9*z + 5*z in the form y*z**2 + r + v*z and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8552892067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 23. Let f = w - -22. Let t = 22.0053 - f. Round t to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 725740, 1451517, 2177300, 2903089?\n\"Answer: 3*b**2 + 725768*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 3*i**2 + 3*i + 57. Let m(f) = 7*f + 3. Give -6*h(w) + 5*m(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 16 + 56 = 4*l, 49 = -11*b + 35*b - 47 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 25 = 28 - 45 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-39) + (-490)\/26. Let t = d + 43. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4584, -9140, -14346, -20526, -28004, -37104?\nAnswer: -48150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-1))\/(-2) + -1. Let y be -3*(-4)\/3 - -1. Suppose p*t - 6000 = y*t. What is t rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 + 190.026627.\nAnswer: 190.136627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (56898\/(-464) + 103).\nAnswer: -35\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:45 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 4. Let u = 1 + -5. Suppose 0 = 4*z + 3*j + 5, -3*z + 8*z - j = 8. Sort w, u, z in ascending order.\nAnswer: u, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9296 = -106*z - 118*z - 3472. Suppose 0 = 2*q - 9 - 3. Is -140*(z\/90 - 1\/q) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 228*n**2 + 4*n + 1. Is x(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103846984 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: b\"What is the fth term of -1087539, -1087548, -1087561, -1087578, -1087599, -1087624?\n\"Answer: -2*f**2 - 3*f - 1087534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*j + a, -5*j + 17 = 4*a + 62. Let l be (16\/(-32))\/(j\/8 + 1). Factor 38*n + n**2 + 8*n**3 - l*n**2 + 36*n**2 - 12 + 5*n**2.\nAnswer: 2*(n + 2)*(n + 3)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -354303, -708609, -1062915, -1417221, -1771527?\n\"Answer: -354306*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.9 to zero dps.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 0.13, 3, 0.1, 33, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(833) + 0 + 5).\nAnswer: 20 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*j + 69688 = 0, 3*j - 5*j = -5*m + 69694. Calculate the remainder when m is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 8*r - 7*r - 1)*(9 - 10 - 9).\nAnswer: 170*r + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11681, -23363, -35043, -46721, -58397?\n\"Answer: s**2 - 11685*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.59 - 1.79. Let q = 1 + 0.5. Let n = 0.5 + q. What is the biggest value in n, i, -0.04?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/265 and -46\/30369.\nAnswer: 151845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x**3 + 73. Let o(h) = -4*h**3 - 24. Let y(r) = -7*o(r) - 2*u(r). Find the first derivative of y(f) wrt f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 857*y + 7072 = -27*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 53329 = -4*f + 2*m, 71117 = 4*f + 5*m. Suppose -327*a + 320*a = -f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*m**2 - 294*m**2 - 436*m**2 + 2*m - 2*m.\nAnswer: -857*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*q = -21, 3*t - 13 + 2 = q. Suppose -1 = 10*u - 121. Calculate the remainder when t\/4 + 466\/8 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 2*x + 5. Let p be k(4). Let h = 4 + -1. Suppose h = -0*b + b. Sort p, -4, b.\nAnswer: -4, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -12, -9, 4, 33?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/5)\/(300 - (-234158)\/(-776)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 7*l - 3. Suppose -2*r + 25 = 3*j, -l*r = -0*j + 2*j - 25. Suppose 2*n - 136 + 53 = -b, j*b = -25. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 1. Let p(v) = v + 1. Suppose 104*a - 5 = 105*a. Calculate a*i(h) + 5*p(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203619000 rounded to the nearest 1000000?\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28113920*h**2 - 82410577.\nAnswer: 56227840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*j - 12 = -3, 0 = 5*k + 5*j. Let w(l) = 18*l - 3*l + 5*l - 3 + 15*l. Let x be w(k). Solve -15 = 5*v + 3*a, -4*v + 7 - x = 5*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 70632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -90 - (5 - (-5 - -8)) - (-86 + 98).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3 - 12. Suppose -f + 13 = -4*v. Let h be (-2 - -1)*1*v. Solve -6*g - 5*r = -g - 5, -4*g - 3*r = -h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -8*h + 93. Let q(y) = -y + 6 - h + 14 + y**3 + 3*y**2. Let i(d) = -d**3 - d**2 + d + 1. Calculate 3*i(k) + q(k).\nAnswer: -2*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(0 + 6 - 7 - 10*i) in the form b + q*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1711, -3438, -5173, -6916, -8667, -10426, -12193?\nAnswer: -13968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/12750*85)\/((-28)\/24).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89.13 - 91.5362. What is z rounded to 1 decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747541254 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -29.7. Let z = -0.9 - k. Let x(l) = -l**2 - 2*l + 2. Let n be x(-2). Which is the third smallest value? (a) -0.2 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iollaa. Give prob of sequence la.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 4*u**2 - 5*u + 1. Let m be 2 + 4\/(-6)*1590\/(-10). Let i = 103 - m. Let g be a(i). Let n(r) = 6*r**2 - 1. Give n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-36)*5*2\/(-5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = 12*v - 560. Let q be (-294)\/9*(-6)\/4. What is the greatest common divisor of q and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1.8, 0.1, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160aa33 (base 11) to base 8.\nAnswer: 12377647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7}. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h**2. Let w(p) = 10032160*p. Calculate w(g(a)).\nAnswer: -110353760*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by 2?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, 1 g, and 1 b when four letters picked without replacement from {g: 4, j: 3, b: 1, a: 1, t: 1, c: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 = -y - 2, 0 = y. Let d(w) = 2*w**3 - 12*w**2 - 12*w + 10. Let l(r) = -r**2 - r + 1. What is c*d(h) - 12*l(h)?\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.74598ml to litres.\nAnswer: 0.02674598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 415 - 413.37. Let l = 0.17 + f. Sort 3, l, 0.\nAnswer: 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 28447 (b) -0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9 = 3*i, -4*q + 4*i + 1 = -15. What is the third derivative of -2*u**3 + u**q + u**2 - 2 + 2 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5*q. Suppose q = -0*s - 6*s + 24. Solve -2*d = s - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 327222683 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000060661 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**2\/2 - 2*d + 1. Let f be t(2). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474053741 to the nearest integer?\nAnswer: 21773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -22.5. Let q = s + 0.34. Round q to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 244*y - 5455. What are the prime factors of o(188)?\nAnswer: 7, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -3, -1.46, 0.1908 in descending order.\nAnswer: 0.1908, 2\/21, -1.46, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 19 + 82. Calculate the remainder when 3\/n - 7524\/(-63) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69599084 or -69599083?\nAnswer: -69599083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -4, 1.3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*l**2 - 77*l**3 + 28*l**3 + 26*l**3 wrt l.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 3}. Give prob of picking 1 v and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-30)*20\/(-6). Suppose -2 + 18 = y*p. Suppose 0*c = p*c - 136. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 3*f)*(-65 + 72 - 51) + f + 2*f - f + (2*f + 2*f - f)*(-5 + 3 + 4).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -2) + 96\/(4\/2). Calculate the highest common divisor of 36 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 637.\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4078 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3767169.\nAnswer: 3, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9966 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 186906233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1779099\/22 - 156151\/2. Let h = 2796 - a. Calculate the common denominator of 97\/10 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 12*l**2 - 15*l + 9. Give h(10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*t**2 - 52*t**2 + 20*t**2)*(-t + t + 2*t).\nAnswer: -110*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 3*o + 3*o**2 - 4*o. Let c be t(7). Solve -3*x + 4*x + 2 = c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 0.4, -0.41, 4 in descending order.\nAnswer: 4, 2, 0.4, 0, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**17\/t**(-12) assuming t is positive.\nAnswer: t**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -86. Let q(s) = 7*s. Let x be q(-1). Which is the second smallest value? (a) f (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 + 39*z**2 - 15. Let m(l) = -l**3 + 8*l**2 - 4. Determine -2*h(r) + 9*m(r).\nAnswer: r**3 - 6*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10895286.\nAnswer: 2, 3, 1815881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/15)\/(i\/(i\/(i*i**(-29))*i)) assuming i is positive.\nAnswer: i**(437\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49265 is divided by 2094.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 90. Let r = -78 + 149. Let q = r + n. Which is the nearest to -2\/9? (a) q (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1036 + 15626\/15. Calculate the common denominator of k and -109\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-316)\/395 + (-4)\/(-5). Let l(t) be the third derivative of 1\/60*t**5 + 0*t - 8*t**2 + 0 + f*t**4 + 0*t**3. Let z(s) = -9*s**2. Calculate l(z(w)).\nAnswer: 81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -5147140?\nAnswer: -5147164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30767106 and 14565?\nAnswer: 2913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -389\/808 - 15\/808. Which is the smallest value? (a) 2\/17 (b) -55 (c) p (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.94, -0.5, 5\/6, -2?\nAnswer: 1.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*x + 3. Suppose -3*c - x*v - 155 = -1172, 0 = -v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31031312023 (base 4) in base 13?\nAnswer: 943c69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 70*x + 898. Let j be q(56). What is the highest common divisor of j and 19722?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let c = f - 1.2. Let h = -70 - -73. What is the second biggest value in 2, h, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 0.7. Which is the nearest to w? (a) -3\/7 (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1643 and -18072\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2285350 - 2132450. Round k to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f - 3 = 0. What is the lowest common multiple of -1*(-1 + f) - -3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-3)*j*j)**(5\/21)\/(j\/j**1)**(1\/24) assuming j is positive.\nAnswer: j**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(8\/5)*r*(r*r\/(r\/r**(1\/5)))\/r*(r**9\/r)\/(r\/r**(-3\/4)) assuming r is positive.\nAnswer: r**(181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*0.08\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -465 times -2.25\nAnswer: 1046.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2311296 divided by 57.\nAnswer: 770432\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 268*p - 2?\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1006*w**2 + 1001?\nAnswer: -2012*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 4592. Let s(u) = -u. What is s(g(k))?\nAnswer: -k + 4592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/19, 88\/3, -1\/7, 0.1, -7\/5 in increasing order.\nAnswer: -7\/5, -1\/7, 0.1, 6\/19, 88\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -8*h + 2702. List the prime factors of h.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 789*c + 405*c - 1922*c + 742*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 + 113. Find the third derivative of -13*v + 2*v**2 + 825*v**3 - c*v - 721*v**3 wrt v.\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650108 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 sequence jee when three letters picked without replacement from eeddjhdedhe?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 15729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 3.2, 8.7 in decreasing order.\nAnswer: 8.7, 3.2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/6)\/(m*m\/m**(-4))*(m\/(m*m**(-1\/2)\/m*m))\/m**1 assuming m is positive.\nAnswer: m**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9678982 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.01, -1\/5, 3, -2\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 75 = 3*x. Suppose 512 = 5*m - 3*v + 7*v, 2*m - 2*v = 194. What is the greatest common factor of m and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 10. Let a be p(13). Suppose 1271 = 21*d + a. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/20 - f**4\/6 + f**3\/3 - 3*f**2\/2 - 55*f. What is v(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1720916*h = -1720877*h + 468 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250457885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*x**2 - 29*x**2 - 36*x**2 - 4 + 4.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w = 37*w - 10, -5*a - 13 = -4*a + 5*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849 - 127602?\nAnswer: -125753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2159*d + 19*d**4 + 2*d**3 - 2171*d - 17*d**4 in the form c*d**2 + l*d**4 + m + a*d + o*d**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 22*n - 56. Let y be r(7). Suppose 41*b - 16*b - 5375 = y. List the prime factors of b.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 9)*(-53 + 504 + 2321*g - 2319*g) to o + s*g and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-7))\/(64\/24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4329 take away -0.3?\nAnswer: -1.1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -1. Let v = t - -151. Suppose 2*l + 4*u = 104, -2*l - u = -3*u - v. What is the remainder when l is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/5 + 18\/5*n - 3\/5*n**2.\nAnswer: -3*(n - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 8*m**3 + 20*m**2 + 24*m.\nAnswer: -4*m*(m - 2)*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -28.534, -2\/9, -4, 0.6, 5 in decreasing order.\nAnswer: 5, 0.6, -2\/9, -4, -28.534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001169610798 rounded to seven decimal places?\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Let z be ((-184)\/8)\/(v\/(-8)). Let m = z - 53. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 85 - 0. What is the third derivative of -c*h**2 + 5*h**3 + 706*h**5 - 2*h**4 + 2*h**4 - 2 - 709*h**5 wrt h?\nAnswer: -180*h**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d*o**3 - 4*d*o - 1152*d + 32*o**3 - o + 12 with respect to d.\nAnswer: -7*o**3 - 4*o - 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8 = -g, -5*g + 2*t + 8 = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 944?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1307 + 5?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6))\/(1862\/399). Put 0.5, o, -4 in ascending order.\nAnswer: -4, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = v + 2*i, -v - 3*v - 3*i = -63. Let x be ((-81)\/12)\/(v\/(-100)). Suppose -4*w = -0*w - 72. What is the highest common factor of x and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 335 + -229. Let h = i + -745\/7. Put 5, -2\/5, h in descending order.\nAnswer: 5, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 917473, 917610, 917747, 917884, 918021?\n\"Answer: 137*v + 917336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52.51686 decades?\nAnswer: 525.1686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*b - 55, 2*h - b - 3*b - 6 = 0. Let m = 201 + -110. What is the highest common factor of h and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o**3 + 64*o**2 - 8*o - 64*o**2.\nAnswer: 78*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1137.33829 to the nearest 10.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6 - -1 - 676\/104?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*l - 511*l + 48 = 0. Calculate the remainder when 40 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - o**2 + (0*o + o - 3*o)*(-1 - 2*o + 1) + (0*o + 2*o + 0*o)*(4*o - 2*o - 3*o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85036 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 13*f - 87 - 53 + 193 = 0, 5 = -f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -63\/2*c**2 + 0*c - 96 + 0*c**4 + 73\/6*c**6 + 2\/3*c**3 + 0*c**5. Find the second derivative of p(y) wrt y.\nAnswer: 1460*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {o: 4, j: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -12)*36\/(-48). Let s(d) = -d**3 + 9*d**2 + 4*d + 6. Let c be s(u). Suppose 12 = 3*f - c. What is the highest common factor of f and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = -4*l - 8, 2*r + 26 = -2*l. Let i be 1\/(-2) - r\/12. Factor -i*o**2 + 0 - 4\/3*o.\nAnswer: -2*o*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2\/7 - 348336*w\/7 - 348332\/7 = 0.\nAnswer: -87083, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2934417.\nAnswer: 3, 19, 51481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1088.18 to the nearest 10.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - n + 1)*(5 + 2 - 5) - 2*n + 3*n + 3*n)*(0*n - 5*n - 23*n) in the form o + v*n + w*n**2 and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 811822 divided by -6.\nAnswer: -405911\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -1. Suppose r + 2*v = 4 - 36, -3*v = -i*r - 134. What is the units digit of (r\/16)\/(1\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 439*n**2 - 440*n**2 - 10*n - 3*n**3 + 0*n**4 + 2*n**4 to the form a*n**4 + k*n + r*n**3 + b*n**2 + p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 454, 441, 430, 421, 414, 409?\n\"Answer: z**2 - 16*z + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/1145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + -1 + 13\/1. Suppose -16 = -2*w + 3*v, 4*w - 5*v - 21 = g. Solve 2*y + 4 = -2, 2*t + w = -y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 33 + 35 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1666100 to the nearest 10000.\nAnswer: -1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-7)\/((-196)\/14)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 334 - 59. Calculate the remainder when w is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 459.3 - 455.3. Which is smaller: 7\/66 or x?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a - 18. Is 27 a factor of n(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in -2\/59, -0.3, -4, -1\/7, 47\/4?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.2 take away 0?\nAnswer: -158.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 6, m: 5, r: 5, p: 1}. Give prob of sequence mb.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 45 + 252 = 0. What is the greatest common divisor of o and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -35*r**3 + 9*r**2 - 20*r - 14. Let h be w(-9). Suppose 0 = 19*j - 29*j + h. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 498 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 7 - 1799\/7. Does -247 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*-3*sqrt(72)*-1 + 0 + -4) + -4)**2.\nAnswer: -17280*sqrt(2) + 373648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -935*z + 2*z**2 - 12188 + 12188 to the form r*z**2 + i + p*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (6 - (13 - 13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 + m**2 - 1. Let x(y) = -50*y**3 - 4*y**2 + 135*y + 7. Let p(l) = -6*j(l) - x(l). What is the second derivative of p(z) wrt z?\nAnswer: 228*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*c + 302384, -1373 - 149820 = -b - 2*c. Suppose b = -4*j + 2*j + x, -j + 5*x = 75585. What is j rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 1323?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 - 142. Let s be 43 + (-8136)\/216 - (-1040)\/3. Calculate the greatest common factor of s and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - -514?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 2*r - 5*r + (0*r - r + 3*r)*(2 + 0 + 0) + 2*r + 0*r + 0*r + 0*r - 3*r + 4*r + (-7 + 2 + 1)*(21*r - 43*r - 59*r).\nAnswer: 330*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*c + 94, -p + 6 = -4*p. Let o = c - 13. Determine s so that 5*s**2 + 2*s**3 - 3*s**2 - 2*s - o*s**4 + 3*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (810\/20)\/(-9)*1\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 3 + 5*d + 9\/2*d**2 + 1\/3*d**3. List the prime factors of z(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -7*o**5\/4 - 7*o**3\/2 + 16*o. What is the second derivative of a(r) wrt r?\nAnswer: -210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1727 is divided by 154.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 + -0.817?\nAnswer: 722.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 10. Let x = 3 + -3. Let a be d(x). Let h be 10*4\/(16\/a). Solve -5*n + h = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = -4*r, -4*l = 2*r - 2 + 6. Find the common denominator of l - 0 - (-41)\/(-16) and 75\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 22. Calculate the remainder when 5 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21572766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r)*(1 - 1 - 2*r) + (-2*r + 0 + 0)*(4 - 12 + 6*r + 15*r) + (r + 0*r + r)*(-2*r + r - r) + 490 - 490 + 40*r**2.\nAnswer: -4*r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = 5*n - 1383. Suppose 5*d + 0*z - 4*z - n = 0, -3*d + 116 = -4*z. What is the units digit of ((-80)\/(-12))\/(4\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 - 16122*h**2\/7 - 9154848*h + 7245640160\/7.\nAnswer: -(h - 110)*(h + 8116)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 13*b = 32. Let v be (b - 1)\/(1 - 0). Differentiate 7 - v*z**2 - 7*z**2 + 4*z**2 wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from qimipqum?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4005*708.53.\nAnswer: 2837662.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let s(r) = 36*r - 16. Calculate -48*k(m) + 3*s(m).\nAnswer: 60*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 (base 13) in base 2?\nAnswer: 1011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1.6, 1, 4, 2\/19, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*i**2 - 19*i**6 + i**6 + 108*i**6 wrt i?\nAnswer: 10800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -235.2626?\nAnswer: -240.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.048 (b) -176.7 (c) 7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:25 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/3 + 2*o**2 + 2*o + 26. Let b = 8 - 13. Calculate m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116768521 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-70) - (0 + (-7)\/5). Suppose 760 = s*d - 942. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.6625 - 4.7025. Which is the nearest to 0? (a) f (b) 0.13 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(1 - 0\/3). Let h = 5 + -9. Let o(f) = 4*f**2 + 5. Let a(z) = 3*z**2 + 4. Calculate h*o(t) + w*a(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w - 22*w, 2*a = -3*w + 207914. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 222 = 24*t. Does 37 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2)\/(2\/(-1)). Suppose -3*o = -i*o - 30. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:24 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1260 - -1584.5. Let k = 325 - o. What is the second smallest value in k, -1, -1.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*q**2 + 6*q**2 - 2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 10 - (-16 - (14 + 4))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 92 = 8. What is the second derivative of 2*m + 3*m**2 + 25 - w wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 292 + -1169\/4. Let u = 8 - 5. Let k(l) = -3*l**3 + 2*l + 1. Let f be k(-1). What is the closest to f in u, d, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*g + 5*x + 48 = 150*g, 0 = 4*x + 36. Suppose 4*k + 3*f + 15 + 1 = 0, 5*f = 0. Sort -29, g, -3, k in decreasing order.\nAnswer: g, -3, k, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:00 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89356438 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x = -14*x, 2*t = -5*x + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15.75219 hours?\nAnswer: 56707.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**6\/40 - b**3\/2 - b**2 - 2. Let p(a) be the second derivative of v(a). Find the first derivative of p(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let b(n) = -349*n**2 - 163*n. Calculate q(b(v)).\nAnswer: 349*v**2 + 163*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(90\/4)*(-9)\/((-468)\/(-65))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 4.04. Let g = -4.06 + r. Let z = 0.46 + g. What is the closest to -1\/2 in z, 3\/4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from dkddkkkddkdkk.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or -3\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -1, 9.9, 9815 in decreasing order.\nAnswer: 9815, 9.9, 0.3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29498 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1029)\/(-24))\/(-7) - 1\/(-8). Let a = -7 + i. Let z(s) = -15*s**2 - 9*s - 11. Let l(o) = 7*o**2 + 4*o + 5. Determine a*l(k) - 6*z(k).\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 121*u**4 + 6*u**3 - 183*u - 2. Let b(l) = 353*l**4 + 17*l**3 - 548*l - 6. Let f(x) = 6*b(x) - 17*n(x). What is the second derivative of f(p) wrt p?\nAnswer: 732*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 5*w**3 + 3*w**3 + (3*w**2 - 4*w**2 - w**2)*(-5*w + 5*w - 2*w) + 9 - 9 + 5*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 60 in increasing order.\nAnswer: -3, -1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 283465 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1700)*4\/40*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2138, -17186, -58044, -137618, -268814, -464538, -737696, -1101194?\n\"Answer: -2151*m**3 + m**2 + 6*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let u(f) = 45*f**2 - 2*f. Calculate u(a(l)).\nAnswer: 45*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/9 + 8377*y**3 + 50259*y**2 + 75387*y.\nAnswer: y*(y + 3)**2*(y + 75387)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 0*z + z)*(3*z + 3*z - 2*z)*(-2*z + 3*z + z) to m + g*z**3 + t*z**2 + v*z and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d**2*i**3 + 30*d**2 + d*i - 11*d + 3*i**4 wrt i.\nAnswer: -12*d**2*i**2 + d + 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = 4*w + 1, -k = -w - 5. Let c(h) = 7*h - 5. Let d be c(k). Suppose r - d = -3*r. Solve -p - r*m - 13 = 4*p, 0 = -p + 4*m + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294292.2 millilitres in litres?\nAnswer: 294.2922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let v(z) = -5*z - 7. Let m(t) = -9*t - 15. Let p(l) = -2*m(l) + 5*v(l). Let j(i) = -i**2 + 6*i + 6. Let c be j(6). Determine c*u(b) + p(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.542961389 rounded to 4 dps?\nAnswer: 0.543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*x + 7*x - 5*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w + 22. Let z(s) = 2217*s - 8*s**2 - 2217*s. Give i(z(j)).\nAnswer: -64*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 + 457 + -13 + -4 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 458928307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 3)*-3.\nAnswer: -9*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9427420, -18854842, -28282264, -37709686, -47137108?\n\"Answer: -9427422*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 + i + 1. Let g(y) = -y**3 + y. Let r = -35 - -19. Let l(t) = t + 17. Let p be l(r). Calculate p*m(n) - 2*g(n).\nAnswer: -2*n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 10*y - 4. What is q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - g - g)*(g**3 - g**3 + g**3) - 13*g**4 - 29*g + 29*g + 2*g**4 + 1 - 1 + 2*g**3 in the form x*g**3 + k*g**4 + u*g**2 + j*g + p and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from nncqcccqchqqcc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 135*s**3 + 0*s - 635*s**3.\nAnswer: -500*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 6*v**2 - 2*v - 7. Let y be s(5). Suppose 16 = -4*j + y*j. Solve -3*p = -q + 4, -q - j = q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97869 (base 12) to base 11\nAnswer: -127256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 2\/31, -1\/1750?\nAnswer: -1\/1750","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -105, -14, 0, 913 in increasing order.\nAnswer: -105, -14, 0, 2, 913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 58*z**2 + 2 - 58*z**2 - 2*z**4 to i*z + b + o*z**2 + g*z**3 + l*z**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.81 + 0.61. Let k = -3449 + 3448. Which is the nearest to 2\/17? (a) 3 (b) p (c) k (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0289702 and -0.487.\nAnswer: -0.0141084874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 39*i - 26*i**4 + 196*i**2 - 218*i**2 - 2 - 39*i to the form b*i**4 + h + r*i**3 + m*i + g*i**2 and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 27*q - 1. Let v be r(1). Suppose n = v + 27. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*w + 55888 = -67*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.632 - 0.032. Let r = d + -38. Round r to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h. Let b be k(4). Let q be (-1 + (3\/(-2) - -2))*0. What is the derivative of q*z - b*z + 9 - 8 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5*l - g = 10, 0 = -4*l + 3*g + 22. Solve 3*v - 5*d = 2*v + 9, 4*d + l = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -2\/17 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/40 - m**5\/60 - 6*m**2 - 19*m. Let g(k) be the first derivative of z(k). What is the third derivative of g(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 812 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6. Let i be 8 - 1*(b - 1). Solve 3*x + 2*t = 7*x + i, -2*x + 5*t - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 + (1490\/21 - 3). Which is smaller: 68 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1557 and 10.\nAnswer: 15570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k + 15. Is n(-5) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-242856)\/50595*5\/246.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - -2) - (-128)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 5*t - 15, 0 = -4*f + f + 5*t + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j. Let h be z(2). Let n = h + -3. Solve 3*s - n = 3*g, -5*g + 0*s + 2*s = 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 146 = 3*g. Let t(z) = 2*z + 41. Let v be t(-23). What is the remainder when g is divided by v\/(-20) - -1*39\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-2*6\/(-4)). Let a = -362 - -354. Let b be (-3*7\/14)\/((-6)\/a). Which is greater: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 8. Let g be z(-8). Let m(f) = f + 2. Let r be m(8). Let o be -1*5\/(r\/6). Sort -5, g, o in descending order.\nAnswer: g, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*c*w*x + 2*c*w*y**2 + 2*c*x*y - 276*c - 9*w*y**2 - 2*y**2 wrt w.\nAnswer: 59*c*x + 2*c*y**2 - 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103276 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152423\/23 or -6627?\nAnswer: -6627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 18. Let k(v) = v - 17. Let s(w) = 5*f(w) - 6*k(w). Suppose -5*m + 41 = 11. List the prime factors of s(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146246344 and 2271.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 4 + 0)*(2*p**5 - 2*p**5 + p**5) + 15*p - 15*p - 16*p**5 - p + p - 4*p**5.\nAnswer: -41*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 339*z**3 + 4*z**2 - 4*z - 9. Let x be u(-1). Let h(i) = 2*i**3 + 4*i**2 + 6*i. Let v be h(-5). Let k = v - x. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4796 divide 156220108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s - 11. Suppose 0*d + 1 = -o - d, -2*d = 6. Let g be r(o). Solve g*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 585957386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 719175 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-120))\/((-3)\/((-765)\/10)) - -3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 8 - -12 - 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-548)\/137)\/((224\/231)\/8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o = 0. Suppose 24 = -o*y + 3*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 0.62067604.\nAnswer: -1.37932396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3821.269 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 467, 744, 1009?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -5, -14, 2, 10 in decreasing order.\nAnswer: 10, 2, 1, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**2 + 24*y - 747. Give n(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17284264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 21, 83, 187, 345?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (7 - (-7 + 6)) + -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 132331 (base 4) to base 2\nAnswer: 11110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44212*m**2 + 88496*m + 144.\nAnswer: 4*(m + 2)*(11053*m + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*g = -27, 4*g - 14 + 43 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 4)*(3*d - 2*d - 4*d) + (-3*d - 4*d + 5*d)*(4 + 0 - 1) as y*d + s and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6359627030014114.99999956 - 6359626901556092. Let v = g + -128458016. Let x = v - 7. Round x to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 9:32 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Suppose 2*g - 4*s + w*s = 16, g = -s - 2. Differentiate 3 - 4 - 10*o**3 + g wrt o.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(1 + 6\/(-4)). Let h = -9 + y. Let k(u) = -u**3 - 4*u**2 + u - 4. Is 16 a factor of k(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28644.80412 rounded to the nearest integer?\nAnswer: -28645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = -p + 4*p, -4*i + 17 = -3*p. Let f(g) = -1 + i + 2 - 14*g + 2. Is f(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*(10 - ((-3675)\/(-455) + 3))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 19*f - 85. Suppose -164295094 = f*l + 107704906. Round l to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7791\/28 + 10 + 1\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Let r = -394 + 393. What is the second smallest value in q, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.36 in 21, 8\/7, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) -1\/3 (c) -1\/7 (d) -249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -354 + 348. Let x(m) = 8*m + 6. Calculate x(b).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -23321*q. Let t(r) = -r. Give w(t(b)).\nAnswer: 23321*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 452595 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 112\/(-24) + (-3)\/9. Let a be (2*-6)\/(1\/(-1)). Suppose 0 = -5*y - 8 - a. Which is greater: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1574332 or -1574340?\nAnswer: -1574340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -6 (c) 14 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.4, 7, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12*r = 432. Calculate the remainder when 286 is divided by r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88360 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4975 - 4231 = 62*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -66. Which is the nearest to -2\/9? (a) g (b) 1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -93. Suppose -3*l + 12 = 0, u + x*l - 8 = 6*u. What is the units digit of (-37)\/((u + 3)\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12118084039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 508592*u + 92186196.\nAnswer: -4*(u - 181)*(u + 127329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 410 - 128. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/40 and 596\/(-108)*14\/(-112).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) - (-88)\/33. Let t be ((-6)\/3)\/(1 + -2). Let p be 0\/((-4)\/t + 1). Solve p*z - q = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 791, 847, 903, 959?\n\"Answer: 56*j + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -62. Suppose -q = 3*q - 52. Let g = -5 + q. Calculate the least common multiple of g and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((43 - 40)*(-3)\/(-12))\/((-57)\/(-16)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 17*i**2 + 17*i - 16. Let y be h(16). Solve 5*l - 2*l + 4*z - 14 = y, 5*z = -5*l + 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*j**2*q**2*w + j**2*q*r*w + 3*j**2*q*w - q**2*r*w - 18*q*r wrt q.\nAnswer: -230*j**2*w - 2*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*d - 4, -d - 4*w + 20 = -0*d. Let k be (-1)\/1*d\/(-4). Let q be 14\/4*20\/35. Solve -m - k = q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. Let k be z*(-1)\/((-15)\/(-6)). Let l = 12 - 4. Solve -2*x = l - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**4\/2 + 5*b**2\/2 + 1. Find the second derivative of v(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f7a78 (base 16) in base 12?\nAnswer: -835a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 8:08 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1502 + -1497. Solve -2*i + 3*t + 3 = 0, 0 = -l*i + 2*t + 3*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3510\/(-10530) - ((-23)\/6 - (-3)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2257 + -114?\nAnswer: -2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18456*s**3 - 7*s + 2763.\nAnswer: -110736*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -2 + 6 - 1)\/(-14 + 17955\/1281)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2))\/w**(1\/4))**12*w\/w**(-3)*w*w\/(w\/(w*w**(2\/11))*w*w*w)*w\/(w*(w\/(w**(-1)*w))\/w)*w*w**3 assuming w is positive.\nAnswer: w**(442\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/2 - 4712\/(-620). Solve -6 = 7*k + z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-9) + (-2 - 1992\/(-27)). Are 72 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300982 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131267 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*r + 29, -3*r + 3*j + 42 = -0*j. Solve -r = -2*y + 5*m, 8 = -y + 2*y - 3*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/47 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.43? (a) 12 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 4155*i = 0.\nAnswer: 0, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081697 is divided by 21684.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -558 and -14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12283*y**4 - 28*y**2 + 66*y - 211246243 wrt y.\nAnswer: -49132*y**3 - 56*y + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -4*l + 19, -5 = 3*l - 3*y - 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 1638.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 28 = y, 0 = 2*y + y - t - 132. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-330)*-11*6\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + -3 + (2505\/60 - 10\/8). Factor 42*p - 27\/2 + 3*p**3 - o*p**2.\nAnswer: 3*(p - 9)*(p - 1)*(2*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdppduptuudutupduud. Give prob of picking 2 t, 1 p, and 1 u.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -1 - 6) + -4 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1501 - -1501. Is 1.897 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 530*z - 184*z + 3 - 169*z - 1 - 181*z - 5*z**2 to the form f*z + l*z**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 79680\/(-70740) + 10\/9. Let c(w) = w + 2. Let q be c(-2). Is q bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11340.9*0.08.\nAnswer: -907.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000000011011 - 0?\nAnswer: 10010000000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 84*i**2 - 2*i - 2. Let o be d(-1). Does 14 divide (o\/(-15) + 4)*-70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209069 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218 + -229.1. Let w = 13 + p. Let z = w + -1.9. Which is the second smallest value? (a) z (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 5*c**5 + 37492 - 37492 + 2*c**3 + 2*c**4.\nAnswer: c**3*(c + 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdddf. Give prob of sequence ffd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-3*b + 2*b + 0*b)*(-1 - 2 + 5).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -25. Suppose -2 - m = -4*l + 2*h, 4*l - h = 19. Suppose -5*r + 90 = -0*k + l*k, 4*r - 3*k - 44 = 0. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21251821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 573*n**4*o - 18*n**4 + 54*n**3 - n**2*o + 2*n**2 - 1216*n*o - 39*o wrt n.\nAnswer: 13752*n*o - 432*n + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2. Let c(q) = q - 1. Let f(g) = -2*c(g) - u(g). Let x be f(2). Solve -5*w - 19 = 2*i, 3*w + 3 = 4*i + x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.86, -5?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 4*v + 9. Let b = -1 - 6. Let z be f(b). Let c = z + 21. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 60*m**2 - 16*m - 976. Determine k(-60).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -96425 (c) -3 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5319822 to the power of 1\/2, to the nearest integer?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 9164\nAnswer: 1832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 10, 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001286 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6, 5*a + 3*g = 23 + 10. Put -4, 5, a, -2, 2 in descending order.\nAnswer: 5, a, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((304\/5320)\/((-1)\/14))\/((-2)\/160)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*k - 62 - 82*k - 11*k.\nAnswer: 8*k - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by -235049?\nAnswer: 440\/235049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6274022175?\nAnswer: 3, 5, 27884543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9.5. What is the second biggest value in 1, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 52 = -2*p, 0 = 5*k - 2*p - 68. Suppose 7*o = 3*o + k. Let t be 4 - 2\/(-1 + 2). Solve o*h - t*a + 10 = h, -1 = -h - a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55804 is divided by 1262?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Solve 0 = -2*t + g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -31*x + 285. What is o(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-12 + 6 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a24f - 7fb?\nAnswer: 9a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-14) - (62\/(-14) - -1). Suppose -m*p - 4*p = -28. Suppose -p*h - 12 + 80 = 0. Sort h, 1, 4, -4 in increasing order.\nAnswer: -4, 1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*n - 3*n - 745, 0 = -4*y - n + 985. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 31*o**4\/12 - 7*o**3\/6 + 2*o**2 - 3*o + 14. Let z(q) = 2*q. Give z(j(t)).\nAnswer: 124*t - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4425 - 3?\nAnswer: 4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*y - 19*y + 35*y = 333*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -10 + 4. Suppose -a*p + 205 = -p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89576?\nAnswer: 2, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 4*q - 106. Give x(0).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 110010110100100101?\nAnswer: -110010110100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2522 and 0.4?\nAnswer: 1008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 5*u + 3. Let y(b) = 3*b**2 + 4*b - 4. Let g(v) = 4*n(v) + 3*y(v). Find the second derivative of g(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144669571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 6*p - 802. Let v = p - 337. Let y be 40\/v + 3\/((-15)\/(-2)). Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/9 - 1202*x\/9 + 536.\nAnswer: -(x - 4)*(x + 1206)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {u: 8, k: 4, r: 3, l: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 34597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 13*m - 3*m)*(-3 - 2 + 3)*(0 + 0 + m**3).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3473 - -3?\nAnswer: 3476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0) + (-6)\/(-2). Let r(q) be the first derivative of 3*q**2\/2 + 4*q + 3. Is r(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2150829 and 5?\nAnswer: 10754145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 168*j**2 + 1183*j. Determine m(-7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.2. Let a = j - 0.3. Let s = a + 12.9. What is s rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52355583 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*o + 86. Suppose 2*t - 1 = -o. What is the tens digit of 82\/6 + (-2)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*m + 40, 2*m + 2 - 7 = -x. Suppose 5724 = -11*t + 10*t. What is the remainder when 0 - (4\/16 + t\/48) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-775806)\/6192 + ((-14)\/16 - -1) + 25\/(-30).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -32. Let k(l) be the first derivative of -l**4\/4 + l**3\/3 + 2*l**2 + l + 1. Calculate k(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/648 and -47\/1636128.\nAnswer: 14725152","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) -4 (c) -1\/5 (d) 3\/1150 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -38, 4, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -2 - (-6 - -6). Let w be (r + -1)\/(3\/78). Suppose 0*j = -3*j + w. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13023*x - 383*x = -294932 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -158\/205 (b) 5 (c) 1\/3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10763 - 4535. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 3*p + 11*p + 2*p**3 + 3*p**3.\nAnswer: 2*p**3 + 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/4 + 16*k**3\/3 - k + 1. Let j be (444\/518)\/((-6)\/(-112)). Let y be i(j). Which is greater: 1\/21 or y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/16 - (-2 - -10). Which is smaller: v or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/93969 and 17\/27?\nAnswer: 281907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.5, -21.1, 0.3, -4, 1, -8, -2.\nAnswer: -21.1, -8, -4, -2, 0.3, 1, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11035.0438 rounded to zero decimal places?\nAnswer: -11035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10195*r. Let l(b) = b. Calculate l(h(d)).\nAnswer: 10195*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11232, 11218, 11192, 11148, 11080, 10982, 10848?\n\"Answer: -h**3 - 7*h + 11240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-34)\/8 + 186\/8. Suppose 0 = 5*y + 7 + 3. Let r be 13 + (0 - -1) + y. Calculate the greatest common factor of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - 5*sqrt(130)*4 - 5*(4*sqrt(130) + sqrt(130) - sqrt(130)))\/(5*sqrt(70)\/(-1*(sqrt(7)*-1 - sqrt(7)) + sqrt(7))).\nAnswer: -117*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - z + 192 = 47*r, -3*r = 74*z - 76*z - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 246951065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46243760*u**3 + 78144518*u**2?\nAnswer: -277462560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 61 = 16*p - c, 0 = -4*p + 5*c + 56. Suppose -p*s = -26 - 50. Solve -q - 3*d = -14, -s*q = -0*q - 2*d + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 14*a - 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 12192.\nAnswer: 1\/3048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659178613 a multiple of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.18069769 to 2 decimal places.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34797, -0.3, 1\/4, -235.\nAnswer: -235, -0.3, 1\/4, 34797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 96?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 2 + 2 + (-4*s + s + s)*(-1 - 2 + 5) + 5*s + 1 + 0 - 3*s.\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2124489, -4248847, -6373205, -8497563?\nAnswer: -10621921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2766 is divided by 258?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103 or 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2. Let u(p) = -p**2 - 194*p + 820. Determine u(m(n)).\nAnswer: -n**4 + 194*n**2 + 820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/10))**(2\/7)\/((j\/j**17)\/(j**(-2)*j)) assuming j is positive.\nAnswer: j**(526\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -3102560?\nAnswer: 3102545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from kkdubxxbbduhxu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 0*d)*(2 - 3 + 5)*(12*d**2 - 12*d**2 - 8*d**4).\nAnswer: 32*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97048*0.5.\nAnswer: 48524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -10. Let j = b + -7. Suppose j*d = -7*g + 2*g + 41, -10 = -d + g. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842508939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70\/13 + 335\/26. Find the common denominator of -23\/3084 and a.\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + -9168868?\nAnswer: -9168830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, 11, 6, -60 in decreasing order.\nAnswer: 11, 6, 2, -18, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1434847, 2869693, 4304539, 5739385?\n\"Answer: 1434846*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51486, -51484, -51482, -51480, -51478, -51476?\n\"Answer: 2*z - 51488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4735, 9475, 14217, 18961?\n\"Answer: f**2 + 4737*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5342*u**3 + 3521*u - 1 wrt u?\nAnswer: 32052*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2803581792 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 6*y**2 - 16*y + 68. Let x = 233 + -226. Let i be m(x). Let a(f) = f**2. Let s(r) = -7*r**2 + 5*r + 1. Calculate i*a(c) + s(c).\nAnswer: -2*c**2 + 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 20 = 4*w + 3*m, -3*w + 28 = -5*m. Suppose 2*c + 64 = w*c. Suppose -3*j = -l - 0*l, 0 = -l - 4*j + 14. What is the remainder when c is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 30. Give r(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16889*h - 16886*h + 94 = -5*m, -4*m = 68 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 15*r - 16. Let m be n(-6). Suppose k - 377 = t - 0*t, -k = -m*t - 380. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) 2\/125 (c) -2\/17 (d) 0.009 (e) -3 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 3. Let i be s(-7). Let n = -148 - -148. Suppose -3*u + 0*v - 5*v - 2895 = n, 3*v + 3849 = -i*u. Round u to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a second in milliseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + h - 2 + 3*h**2 to y*h**2 + g + l*h and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**3 - 26*j**2 + 3*j + 694. Give o(0).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**38\/k**29 assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v + 79*v = 53406. List the prime factors of v.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 25*y + 203. Calculate b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/5 + 1916*v\/5 - 458882\/5 = 0.\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 187071822 divided by 4454091?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -351.71, 5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v**2 - 5*v**2)*(2*v - 3*v + 2*v) - 2*v**3 - v**3 + 5*v**3 - 5*v**3 + 0*v**3 + 3*v**3 - 2*v + 10*v**2 + 1983*v**3 + 1988*v**3 - 3965*v**3 + 1.\nAnswer: 5*v**3 + 10*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23465 is divided by 1803.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g - 16749 - 4*g + 16739. Let j(m) = 43*m**2. Give p(j(h)).\nAnswer: 43*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (-2 + 6 + -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 7*j**2 + 11*j - 78. Let n = 14970 - 14963. Calculate t(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 479368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v + 2*v - 3 + 3 + (1 + 0 + 0)*(2 - 2 + v) + 0*v + 4*v - 2*v - v + v - 2*v + 0 + v + 0 + 3*v + 0*v - v)*(-v**2 + 3*v**2 + v**2).\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 129 = -110. Which is bigger: v or 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100365 is divided by 12533?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + -7 + (6 - -19).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9131 + 1.7131. Which is the third biggest value? (a) -2 (b) -66 (c) 1.5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y + 7. Let v(t) = -3*t - t - 2 + 3 + 1. Calculate 2*k(j) - 7*v(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -11 + (9 - -20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 - a + 1. Let m(v) = -22*v**3 + 6*v**2 + 59*v - 6. Let z(j) = m(j) + 6*u(j). What is the second derivative of z(y) wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15124455\/52952 + 5\/6619. Let j = a + 286. Is 1 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20277 is divided by 71?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/69415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:26 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -t - 32. What is the greatest common divisor of 22 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -198224, -396445, -594666, -792887, -991108?\n\"Answer: -198221*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - 7*h**2 + h - h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 213148\/(-15) - ((-10437)\/(-315) + -33). Is -14209 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let d(t) = -21200*t + 10605*t + 10596*t - 8. Calculate 2*d(o) + 4*v(o).\nAnswer: -2*o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28355516 and 1372.\nAnswer: 198488612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1499459787 to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -6. Let f(b) = 2*b**2 + 9. Let y(h) = -3*h**2 - 13. Let l(u) = -7*f(u) - 5*y(u). Determine l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40780 and 69326?\nAnswer: 693260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 31*k - 90. Let z be r(18). Which is the second smallest value? (a) -0.7 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -247*l**2. Let v(f) be the third derivative of f**5\/30 - 62*f**2. Give v(w(j)).\nAnswer: 122018*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11\/3)*y*y*y*(y**(-8\/7)*y)\/y)\/(y\/y**(-36))**(3\/7) assuming y is positive.\nAnswer: y**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7112 <= -7110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -31301 (base 4) to base 14\nAnswer: -46d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:52 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54192989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*10\/12)\/(-19 - (-1040)\/48). Find u such that -3\/4*u**3 - 11\/4*u**2 - t*u + 3\/4 = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13 - 16*w + 11*w**2 + 16*w. Let a = 25 - 38. Let i(m) = -5*m**2 - 6. Determine a*i(s) - 6*p(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 15. Let w(v) = -1. Let r(f) = 3*w(f) - z(f). What are the prime factors of r(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 11. Suppose 6 = -339*a + 345*a. What is the smallest value in d, -0.15, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Suppose -2*a + i*a = 8. Find the first derivative of -1 - a*y**3 + y**3 - 2 wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + g + 20, 975*u - 4*g = 982*u - 58 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + -8. What is the units digit of g\/2*(-60)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2835)\/630 + 2 + 2)\/(3\/(-3 - 303))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2. Let s(x) be the third derivative of -x**5\/30 - 7*x**2. Calculate k(s(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 36*p - 5. Let s(c) = 32*c. Let r(u) = -3*u. Let m(o) = 10*r(o) + s(o). What is m(z(l))?\nAnswer: 72*l - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -72055095.\nAnswer: -72055094.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 284501 (base 9) in base 4?\nAnswer: 222131110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187544*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 9*j**2 + 11*j - 17. Let f be 20\/(-1 - -5) - (-7 - -4). What is the remainder when 11 is divided by v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1746.4055 + -1749.5. Round y to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -20*m + 36. Suppose 0 = 8*x - 84 - m. Sort 5, -4, x in decreasing order.\nAnswer: x, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let o be (12\/(-10))\/(10\/(-1450)). Suppose 2*i - o = -4*j, h*j = 4*j + 5*i - 39. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/84672 and 73\/18?\nAnswer: 84672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by 70.\nAnswer: -33\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24229 - 24227. Let j(w) = 83*w + 7. Calculate j(a).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/((-9)\/(-6) + (-4)\/24). Solve g - 3 = 9*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:06 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 28*f**3 - 23*f**2\/2 - 55*f - 13. Is p(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 9*u + 2*u**2 + 2*u**2 + 79*u + 1 - 6*u**2 as d*u**2 + b*u + v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13+84135\nAnswer: 84148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three fifths of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/14, -0.2, 0, -2, 3, -0.1 in ascending order.\nAnswer: -2, -3\/14, -0.2, -0.1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33581 + -1343167\/40. Let h = -7627\/420 + 311\/21. Find the common denominator of h and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*((4 - 4 - t**2)*(1 - t - 1) + 2*t**3 + t**3 - 2*t**3) + 322 + 26*t**3 - 322.\nAnswer: 30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 9*a - 8. Let r be m(-7). Let f be 2 - (2 + (-3 - r)). Suppose -20*q - 120 + 20 = 0. Sort q, 2, f in descending order.\nAnswer: f, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -957930, -957936, -957942, -957948?\n\"Answer: -6*p - 957924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 12529.\nAnswer: -1\/12529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w = 34*w - 54*w - 87381. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, -4, 4, -131439?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -22*a + 21096. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(-299 + 299 + 159*f)*((-2*f + 2*f + 3*f)*(0 + 2 - 4) - 4*f - 3*f + 5*f - 5 + 4 + 2*f + 4) as b*f + g*f**2 + n and give b.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/9))\/(r*r**(-1\/5)*r))**(3\/2) assuming r is positive.\nAnswer: r**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjqjjjgdjgjjdgtj. What is prob of sequence tqg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1837125 - 2?\nAnswer: -1837127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 = 23. Calculate the least common multiple of p and (-2)\/(-7) + 297\/63.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = -3*n - 25, 5*n = -2*x - 16. Suppose 2*l + x*b - 1 = 3*b, 0 = 3*l + 4*b - 18. Suppose 52 = 6*q - l*q. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -804 and 0.2?\nAnswer: -160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-17)\/(459\/2))*4*1\/(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 5*v - 11 = 36*r, 0 = -5*r - 3*v + 12. Suppose -3*d = -4*d + 2. Sort 28, r, d, 4 in decreasing order.\nAnswer: 28, 4, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + 1 + sqrt(176)) + 2 - 4*1*sqrt(176)*5*4)**2.\nAnswer: 13024*sqrt(11) + 964260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 5. Let o be f(4). Suppose -t + 121 = 5*r, -2*t + 4*t = -3*r + 67. Let b = r - o. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Suppose t + 2*y - 11 = c, 3*y - 15 = 0. Suppose t*m - 16 = m. Sort 3, m, 1.\nAnswer: 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -13*u + 4. What is the closest to -0.1 in 0, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 924.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.83 + 0.17. Let l = 10.1 - f. Which is the nearest to l? (a) -2\/5 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9428*c + 31543 wrt c.\nAnswer: -9428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/5 + 65188*k**2\/5 - 106588024*k + 5717798640 = 0.\nAnswer: 54, 16270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*x - 57, -160*x - 22 = -162*x - 2*u for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8127 by 2673.\nAnswer: 301\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11794308, 23588617, 35382926, 47177235, 58971544?\nAnswer: 70765853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1614, 1517, 1420, 1323, 1226, 1129?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 43*o + 59*o + 151*o - 29*o.\nAnswer: 224*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54356*d**5 - 48553*d**2?\nAnswer: -3261360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -112291, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 4664.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 849*k - 13. Let s be t(4). Suppose -5*h = -5*q + 3380, -4*q - q = -4*h - s. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100111000 (base 2) to base 12\nAnswer: -10a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10988\/3 - 2417339\/660. Let u = -3\/20 - o. Sort 0.1, u, 4, 1\/7 in decreasing order.\nAnswer: 4, 1\/7, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4\/7 - 195*y**3\/7 - 8787*y**2\/7 + 91563*y\/7 - 82584\/7 = 0.\nAnswer: -37, 1, 8, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 237 in 2\/5, 0.1, 4, 7, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*c - 32 = -30, 3*c = x + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 - 5*a + 525. Let h(q) = -8*q**2 + 9*q - 1048. Calculate -5*g(b) - 3*h(b).\nAnswer: 4*b**2 - 2*b + 519","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -487.9147 - 0.0853. Let y = -946 - q. Let f = y + 458.00000227. Round f to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 202*h - 135*h + 288 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*b - 126 + 6 = 0, 5*u - b - 174 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3.22 (b) 0.03 (c) -0.3 (d) 8 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -436*p**2\/5 + 9208*p\/5 - 29856\/5.\nAnswer: -4*(p - 4)*(109*p - 1866)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.30967539 times -0.5\nAnswer: -0.154837695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2030.05 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**5 - 6*v**5 - 8*v**5 + (-3 + 3 + 1)*(2*v**5 + 3*v**5 - 4*v**5) - 2*v - 2*v**5 + 2*v + v**5 + v**2 - 2*v**2 + 0*v**2.\nAnswer: -8*v**5 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 5*v**2 - 3*v - 5. Suppose -6*l - 9 + 33 = 0. What is f(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + m = -4, 6*m + 85 - 137 = -z. What is the nearest to -24 in z, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54305, -108630, -162967, -217322, -271701, -326110, -380555?\n\"Answer: -m**3 - 54318*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*k + 16, 0 = -3*k - 3*y + 11 + 1. Let b = 16 + -16. Let n be k\/(-1 + (2 - b)). Solve 3*s - 15 = -3*j, -s - 3*j - 5 + 18 = n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -7, 27, -8832, -5.\nAnswer: -8832, -7, -5, 1\/5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide (-4)\/18 - (-2164)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16950731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -286, 0.04, 0.4, 0.8, 1\/5?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-20) + (-5)\/4. Let s = 1 - n. Suppose -5*u = 3*q - 58, -q + 5*q = -u + 49. Solve -r - 5*z - s - q = 0, 4*r + 3*z + 18 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 394*c**3 + 25*c**2 - 2*c - 84065 with respect to c.\nAnswer: 1182*c**2 + 50*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**4\/78 - 8*m**3\/39 - 7*m**2\/13 - 40*m + 10. Let h(v) be the first derivative of c(v). Factor h(t).\nAnswer: -2*(t + 1)*(t + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, 131, -4, -5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose -4*t + 88 = 5*w, 4 + 84 = 4*t - u*w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 383 - 1b1?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -200, 2 in increasing order.\nAnswer: -200, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzs when four letters picked without replacement from splspsszlpszlsslslsz?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 171 in -3, 0.1, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/758 and -32\/5?\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*p**3 + 37*p**3 + 0*p + 0*p.\nAnswer: -73*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/(-256)*((16\/2)\/2 - (-274832)\/(-20)). Factor 322\/5*f**3 + 2\/5*f**4 + 297432\/5*f + s*f**2 - 314928\/5.\nAnswer: 2*(f - 1)*(f + 54)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2377.422 + 2378. Let x = 97 - 97.59. Let w = u + x. Round w to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)*i*i**(-2)*i**17\/(i*i*i*i**41*i))**(-2\/65) assuming i is positive.\nAnswer: i**(82\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 421056314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*f)**(2\/41)\/((f*f**(4\/11)*f)\/(f\/(f**10*f))) assuming f is positive.\nAnswer: f**(-11119\/902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*u**3*w**2 + 2*d**3*u*w + 2*d**3*w**3 - 69*d**2*u**3*w**3 + d**2*u**3*w + 13*d*w wrt w?\nAnswer: 12*d**3 - 414*d**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*u**2 - 36*u**2 - 12 + 8 + 65*u**2 - 12.\nAnswer: -67*u**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 103502021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**6\/4 - 3*s**5\/10 + 3*s**4\/8 + s**3\/2 - 9. Solve l(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 10*j + 8 = 0. Suppose -p + j*f + 38 = f, 4*f = 16. Calculate the least common multiple of 50 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let l = d + -0.6. Let g(y) = 53*y + 424. Let i be g(-8). What is the second biggest value in l, 2, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425266, 425276, 425292, 425314, 425342, 425376?\nAnswer: 425416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304433?\nAnswer: 304433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.537 + -797.463. Let a = -837.7 - d. Round a to zero dps.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 182746837 and -4?\nAnswer: 182746841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121047909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 515325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -22. Suppose 4*l - l = h. Suppose l*w + 8 = -w - 3*r, 2*r = -3*w - 3. Calculate the common denominator of 29\/15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8) + 45\/10. Let x be 38*((-2)\/y)\/((-3)\/6). Find the third derivative of -10*j**5 + x*j**5 + 0*j**3 + 11*j**2 + 0*j**3 wrt j.\nAnswer: 1680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 470fb + -3?\nAnswer: 470f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 213893199.01 and -0.9?\nAnswer: 213893199.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18199586357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f**3 - 11*f**2 - 13*f - 7. Let x = -17 - -23. Suppose 2*a + 20 = 6*a. Let o(t) = a*t - 2 + 5*t**3 + 6*t**2 + 2*t + 6. What is x*c(v) + 11*o(v)?\nAnswer: v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 347, -4, -1\/10, -76?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -19 + (-150 + 169 - (1 + 9)) - -91\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.41 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/90 - 4\/(-10). What is the smallest value in -6, 0.3, -0.3, x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from {r: 3, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19352 or -19349?\nAnswer: -19349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -813 - -819.82. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 59 - 7 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000515129286 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3918, -7, -4, -82 in ascending order.\nAnswer: -82, -7, -4, -2, 1, 3918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*g + 30 = 0, -h - 47*g + 16 = 3*h - 43*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 3. Let f be x(3). Suppose 5*r + 1 - 31 = -j, f = -3*r + 5*j - 10. Suppose -r*a = -10 - 55. What is the greatest common factor of 104 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09073 times -1.731\nAnswer: -0.15705363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 9*w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -124\/3 in 0.1, 2\/3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.882 + 0.118. Which is the smallest value? (a) -4 (b) 12 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8734, -19879, -31024?\n\"Answer: -11145*p + 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m + 116*m + 7*m + 10*m as y + x*m and give x.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4 + 2*u - 8 - u + 3*u. Let l be r(-3). Let n be -5 - (0 - 2) - l. Solve d + 7 + n = 4*k, d + 8 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 1671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/15*1\/((-6)\/27). Suppose 5*z + k + 0*k = 74, -4*z + 36 = -5*k. Suppose -3*u + z = 2*m, 3 = -4*u + 4*m + 15. Solve c = -n*c - u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446\/26675 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 10*i**4 + 2*i**3 - 3 + 4 + 0*i + i to d*i**3 + q + y*i**2 + v*i**4 + a*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/209, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -19*k**3\/10 - 173197*k**2\/10 - 86589*k\/5 = 0.\nAnswer: -173178\/19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*(-3486)\/(-249).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 12:37 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1370*m**2 - 64377*m - 616. Calculate n(47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5063822?\nAnswer: 2, 449, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.25 and 0.22752.\nAnswer: -5.02248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*k + 8, 3*a - 7*a = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 4*k - 5. Let r be u(4). Let c = r - -75. What is the remainder when 84 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:48 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 371?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304 - 299. What is the fourth biggest value in -2\/3, -3, x, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 12:54 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14956 divided by 3739?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*u = 96*u - 50718. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2311 + 4832. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n**3 - 5*n**2 + 5*n - 4. Let y(v) = 6*v**3 + 4*v**2 - 4*v + 3. Let k be 56\/11 - 5\/55. Determine k*y(q) + 4*z(q).\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -40. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*k - 291*k**2 + 106*k - 45*k to the form o*k**2 + t*k + z and give o.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12.1. Let g = 0.4 + x. Sort 4, -2\/3, g in decreasing order.\nAnswer: 4, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140327 + 0.03\nAnswer: -140326.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 16) + (28 - (20 - -8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 0.115377.\nAnswer: 1.15377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 248\/88) + (-62)\/(-22). Suppose -r - 9 = 5*m, 0*m - 16 = i*r + 4*m. Is (6\/r)\/((-1)\/(-6 + 1148)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+324.09765901527\nAnswer: 324.19765901527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4))**48*(o*o**(-1))\/((o\/o**8)\/o*o*o) assuming o is positive.\nAnswer: o**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m + 169. Let c be t(26). What is the first derivative of -c - 529*d**2 - 23 + 364*d**2 wrt d?\nAnswer: -330*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 7. Let g(k) = k**2 - 8. List the prime factors of g(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12054522023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 212490 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-36) - 51\/(-18). Suppose 0 = -3*n - 2*w + 536, w + f*w = -5*n + 894. List the prime factors of n.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 74 + 37)*(6 - 3 + 1 + 5 - 2 - 2 + (4 + 0 - 5)*(3 + 0 - 1) + 4 - 4 - 1 + 3 - 6 + 2)*(-5*c - c + 4*c) in the form d*c + x and give d.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 4151 = 5614. Suppose -g - 4*t + 160 = 0, -8*t - w = -3*g - 5*t. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i. Let g(q) = -q + 1. Let z(a) = 3*g(a) - m(a). Determine z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0102 - 0.001. What is z rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -24. Let l = 58 + t. What is the smallest common multiple of 20 and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**(-21\/2))**(16\/3)\/(r**(-7)*r*r*(r**(3\/4)\/r*r*r)\/r*r)**43 assuming r is positive.\nAnswer: r**(495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 75, 6620, -7?\nAnswer: 6620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -216, -868, -1954, -3474?\n\"Answer: -217*y**2 - y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 22129*k\/3 + 88564.\nAnswer: -(k - 12)*(k + 22141)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-14) - 1\/(-2) - -1. Let n(c) be the first derivative of 0*c**q + 0*c + 5 - 1\/3*c**3. Calculate n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3021 + -0.1849. Round v to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7573 + 8599. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -26. Let y = -44 + v. Let o = 33.07 + y. Put 5, 1, o in ascending order.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/15 + 4\/5. Which is the closest to -1\/2? (a) -0.1 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -0.06.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8789*q + 8789*q - 2679*q**4 - 4*q**3 + 4*q**3 + 6*q**4 + 3*q**4 - 2*q**4 + q**4 + 0*q**4 + 2*q**4 - 4*q**4 + (0 + 0 + 2*q**4)*(-2 + 4 + 0).\nAnswer: -2669*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 4*m - 4*m + (-4 + 5 + 1)*(0*m + 0*m + m) - 2 - 2*m + 2 + (0 + 4 - 5)*(2*m - 2*m - m) + 3*m - 51*m + 3*m to the form w + g*m and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.362 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-2\/21))\/z))\/z*z**(-7)*(z\/z**(5\/4))\/(z*z**(-3)*z) assuming z is positive.\nAnswer: z**(-517\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, q: 3, s: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 0 + 1\/3*z**3 + 4*z + 0*z**2. Let u(s) = s. Give y(u(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -626 - -607. What is the nearest to 0 in c, 3, -3\/7, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/10, -15, -0.01, 1.11 in descending order.\nAnswer: 1.11, -0.01, -1\/10, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 5*q = 0. Suppose q = 4*o + 5*z + 29, 0*o - 13 = 2*o + z. Is (1 - 1251\/o)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 6*u + 8. Calculate the remainder when 101 is divided by p(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 467998 divided by 96\nAnswer: 233999\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.295 in 5, -7, -1\/2, -1\/5, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, p: 2, b: 1}. What is prob of picking 1 g and 2 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17934 = 7*z + 3*z + 18014 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -1 (b) -43 (c) -2\/7 (d) 10.31 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 69 + 20 = 4*h, 0 = 5*h + 3*o - 109. Let v(d) = 35*d - 381. Let m be v(11). Solve m*n = -0*n - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.3 in -79, 4, -2\/7, 5, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/7)\/((-2)\/28). Calculate the remainder when 62 is divided by y\/(-8) + (-94)\/(-4)*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -153*o + 2754. Let r be y(18). What is g in -5\/3*g**4 + 5*g**3 - 10\/3*g + 5\/3*g**2 + r - 5\/3*g**5 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -2 (b) -569 (c) 5 (d) 2\/93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4574 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a day?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6163 greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3535*v + 6881*v - 3444*v.\nAnswer: -98*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 7)*(37*r**5 + 81*r**2 - 81*r**2) + (4*r + r - 2*r)*(-2*r**4 + 2*r**4 + 6*r**4).\nAnswer: 92*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -104. Solve 3*n - 31 = -4*i, f*i = -i - 4*n + 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.955? (a) 10 (b) 2\/5 (c) -3\/2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 - -7)\/((-8)\/6). Let y = 3.8 - -1.2. Let d = 9 - y. Which is the third biggest value? (a) d (b) u (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*1 + sqrt(168))\/sqrt(12))\/sqrt(2).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 18*m**2 - 439*m + 9. What is y(20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*g = -33, -5567*g - 130 = -2*s - 5572*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**(-2\/47)*(i**(-2)\/i)**(-43) assuming i is positive.\nAnswer: i**(30319\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1798*f**2 + 46*f + 47. Does 33 divide i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 834820 divided by -67.\nAnswer: -12460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 18 = g, 9*g + 30 = 5*j + 4*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -619, -621, -623, -625, -627?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 2*h + 3. Let m be o(-3). Suppose 4*v = -0*v + 2*b + m, 0 = -v - 3*b - 9. Suppose v = 2*s + s - 381. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -54. Calculate the greatest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**5 + 4*a**5 + 0*a**5 + (a**5 + 3*a**5 + 2*a**5)*(2 - 4 - 3)*(4 - 2 + 0).\nAnswer: -61*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**7\/840 - z**6\/240 - z**4\/8 - 3*z**2. Let a(m) be the second derivative of h(m). Find the second derivative of a(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 283360\/1150 - 3*(-2)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.178. Let y = s - 0.03. What is y rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414 divided by -6\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4 + 4*f**3*k + 355536*f + 14911543*k wrt f?\nAnswer: 8*f**3 + 12*f**2*k + 355536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = d - 145, d - 142 = -4*v + 9*v. Let i = d - 35. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10776 - 10740. Solve s = -42*p - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -2.4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -c. Is 8 a factor of 10 - (c - 3 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -731, -1985, -3239, -4493?\n\"Answer: -1254*d + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (1*sqrt(99))\/sqrt(9) - (sqrt(11) - ((sqrt(11) - sqrt(22)\/sqrt(2)) + 0)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -23. Suppose 4*w + w = 15. Suppose 8*l - r = w*l. Which is bigger: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-20)*-7*(-14)\/(-3087).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 998\/8 + (-2)\/((-16)\/(-6)). Let d be (n\/22)\/(-2) - -3. Let f = -1.201 - -0.201. What is the nearest to 0.5 in 0.3, d, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*j**2 + 24*j**2 + 62*j**2 as i*j + g + d*j**2 and give d.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258397467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, j: 7}. Give prob of picking 4 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 140 - 5?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 - (-11)\/(-2). Let b be t\/27 + (-8)\/(-36). Solve b*h + 2*h - 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-186)\/(-31))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, y: 2, c: 3, n: 3, s: 6}. Give prob of sequence caan.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 295 and 649.\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13300)\/(-375) - 36)*(-1)\/44?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2707.\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*1785\/(-102)*2\/(-28)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -899*c + 911*c = 102396. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r)**(-2\/177))**(-18)*((r**5*r*r)\/r*r**(3\/5)*r)\/(r**(7\/5)*r*((r**1\/r)\/r*r)\/r) assuming r is positive.\nAnswer: r**(1949\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 12 = -l + 2*v, 2*l = 3*v + 24. Suppose -18 = -3*z - 2*z - c, -c - l = -5*z. Suppose 0 = -z*h + 2*u + 237, 0 = -h + 2*u - 3*u + 79. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 23.0000033. What is k rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h - 1. Suppose -14*o + 18*o - 5*d - 9 = 0, -2*d = o + 14. Let q(r) = -r**3 - 4*r**2 - 4*r + 4. Determine o*p(w) - q(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 138 = g. Which is bigger: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489401 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196297 and 511?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3414.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6 - 36\/(-88). Sort -5, -1, k in decreasing order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584658*q = -584823*q + 4950 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 + 147. Suppose -1692 + v = 10*j. Let o = j - -138. Put o, -4, 4 in increasing order.\nAnswer: -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, a: 9, i: 1, e: 2, q: 4}. What is prob of picking 2 v and 1 i?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = -3*k + 2*t, -110 = 3*k - 2*k + 2*t. What are the prime factors of k\/(-14) - (-30)\/70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 26 = 32. Suppose -4*j - 4*p + 412 = 0, p + 297 = n*j + j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 - s - 14. Let l = 17 - -13. Suppose 14*x - l = -30. Calculate d(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1) + (-2 - -4). Let f be (10 - 0) + (2 - m). Let y = 26 + f. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 1. Let u = -7 - -8. Let b(i) = -3*i**3 + 3 + 2*i**3 + 2*i**2 - 4 + i. Let w be b(u). Calculate h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7193*j**2 + 3*j*v**2 + 46318*v**2 wrt j.\nAnswer: -14386*j + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166*963\/213144*(-8)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a2cc1 (base 14) in base 13?\nAnswer: -10966b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 382 - 300. Calculate the remainder when 246 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76052923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11560 - -16474. Does 54 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29100.302 rounded to the nearest ten?\nAnswer: -29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(110)*-2 + sqrt(110)))\/sqrt(10) + (1*sqrt(1584) - sqrt(1584) - (sqrt(11) + 1 + sqrt(11))**2*-4).\nAnswer: 11*sqrt(11) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/2*(53 - 12). Are o and -84 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 4:28 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**3*n - 16940*h**3 + 5*h**2 - 2*h - 263*n - 301 wrt n.\nAnswer: -4*h**3 - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28c (base 15) to base 7.\nAnswer: -1461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10570*n + 23580*n + 20583*n - 10854*n)*(0*n - 2*n + 0*n).\nAnswer: -87758*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48421 + -34378. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -287, -285, -283, -281, -279?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**6 + 4318*c**2 - 4324*c**2 - 2*c**6 - 35*c**4 wrt c.\nAnswer: 120*c**3 - 840*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 6*x**2 + 4*x + 18. Let d be w(7). What is the units digit of (630 - 3)\/3 - d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.4 and 0.1178865.\nAnswer: 1.5178865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15496, -4, 8, -0.4, -3, 5 in descending order.\nAnswer: 8, 5, -0.4, -3, -4, -15496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-352))\/(34\/136)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162308858 or -1136162010\/7?\nAnswer: -1136162010\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-1)\/(-6*(-18)\/(-81)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, v: 3}. Give prob of picking 1 a and 1 v.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.847 times -2?\nAnswer: 17.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 1:54 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 867\/374 + 2\/11 - 5\/(-10). Let v be 1\/(-2) - (-10)\/4. Suppose 2*a = -4*l + 30, 0 = k*a - v*l - 3 - 26. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -12 - (-230)\/45\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -2787\nAnswer: 19\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {w: 1, x: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 210*m. Let j(q) = 281430*q. What is b(j(v))?\nAnswer: 59100300*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 1. Let r be v(3). Suppose 2*n - 2 = -r*x, -5*n = -0 - 15. Let c(i) = -i + 9. Let m be c(12). Put x, 4, m in increasing order.\nAnswer: m, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 6*o**2 + 4*o + 1. Let s be x(5). Let y be (-1)\/4*5*s. Let l(c) = 0*c - 5*c + c + y*c. Let p(v) = -2*v. Calculate l(p(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 0 - 3 - 313. List the prime factors of (v\/(-6))\/(46\/69).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2580)\/(-6) + 4 - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 4*b**2 - 2*b**2)*(-2*b + 4*b - 6*b + (-2 + b + 2)*(-2 + 3 - 3) + 3*b + b - 3*b)*(1 + 1 - 4).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15996258*c**4 - 11313961.\nAnswer: 63985032*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and 1.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -144. Let t = p + -52. Suppose 0 = 3*j + 4 + 8. Sort 5, 1, j, t in descending order.\nAnswer: 5, t, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b. Let z(g) = -g. Let q(o) = u(o) - 6*z(o). Let h(a) = 5*a**2. What is q(h(y))?\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 0 - 5)*(-5 - 1 + 5) - 4 + 2 + 0 - 3 + 4 + 3)*(-4 + 3 - 1)*(-3 - 7 - 15)*(-l + 5*l - 2*l) in the form x + h*l and give h.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 133*v + 664. What is g(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -113. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-4 + 5)) + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1088603750.1 - 122\nAnswer: -1088603872.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, h: 2, w: 4, b: 3}. Give prob of picking 3 h and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*o + 662*o = 1952 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014556569 rounded to 6 dps?\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.57 - -0.6. Let f = u + -0.035. Round f to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 2*c + 5*v, 4*c + 16*v - 616 = 11*v. Is c at most 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 3*l**2 + 13*l + 28. Let z be t(-2). Is (-3239)\/z - (510\/(-20))\/17 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:48 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 394469489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:33 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 0*m**2 + 21*m**3 + 4*m**2. Let k(n) = -5*n**3 - n**2. Let y(c) = 9*k(c) + 2*w(c). What is the third derivative of y(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(0 + -1)\/(-1). Let x = 1292.1 - 1240. Let b = 52 - x. What is the nearest to b in -0.3, f, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*j - 4 + 10, -4*j - 2080 = -2076 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206 - -208. Factor -2\/7*f + 1\/7*f**4 + 0*f**3 - 3\/7*f**t + 0.\nAnswer: f*(f - 2)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 + -190 + (4 - (9 + 3)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 285 (b) -0.8 (c) -3 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 54. Is 3\/88 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704854550?\nAnswer: 2, 5, 23, 691, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q**5 - 15*q**2. Let x(n) = 10*n**5 + 7*n**2. Let l(u) = -4*c(u) - 9*x(u). Find the third derivative of l(r) wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 - (3 - 3). Suppose f*w = w + 85. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 9, -2\/7, 0.3, -1\/7 in increasing order.\nAnswer: -3\/4, -2\/7, -1\/7, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) 2143925\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -593*m**4\/12 - m**3\/6 - 94*m**2 - 4*m - 160. What is the second derivative of u(w) wrt w?\nAnswer: -1186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/5 - 63791*a**2\/5 + 203343327*a + 3868130295 = 0.\nAnswer: -19, 31905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) 0.15 (c) 2 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(528) - 1*(sqrt(528) + sqrt(528)*4) - sqrt(528))\/sqrt(11))*5*2)**2.\nAnswer: -20000*sqrt(3) + 122500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -288795.6.\nAnswer: -288791.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 141, 320, 571, 894, 1289?\n\"Answer: 36*s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38528062, 77056125, 115584188?\nAnswer: 154112251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 9*x**2 + x - 6. Let n be r(9). Let s(j) be the second derivative of 4\/3*j**n - 4*j**2 + 0 + 2*j - 1\/6*j**4. Suppose s(p) = 0. What is p?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-13)*(-9)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/8 - (44268\/3472)\/((-12)\/16)?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10011101000?\nAnswer: 10011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 1:09 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61745 is divided by 176.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 35*z = 10472 + 28252. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 660 (base 9) to base 2\nAnswer: 1000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 3. Let t = -9 - -15. Let v = 21 - t. What is the remainder when x(-13) is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - u = 2*u + 2, -q = u. Let k be (-3)\/(-1) - 5 - q. Suppose -3*w - 2*l + 6*l + 131 = k, 3*w + 3*l - 96 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/120 + v**5\/30 - v**4\/24 + 2*v**3\/3 - 104*v**2. Calculate w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 3*y + 13\/6*y**3 + 0 + 0*y**2. Let p(s) = 2*s**2. Give p(a(q)).\nAnswer: 338*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-168))\/(1 - 28\/(-8)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.6435 + -58.7804897. Let x = g - -0.137. Round x to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22709957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1225490000 to the nearest one million.\nAnswer: 1225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggaaggg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, i: 3}. Give prob of picking 1 l and 1 i.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, o: 6, y: 1, r: 2, a: 2}. Give prob of picking 1 y, 1 o, and 1 r.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 3:09 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*w - 65*w + 369 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13642?\nAnswer: 2, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29846967 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7323 + 45696. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**3 + 17*s**2 - 16*s - 29. Let n(z) = -13*z**3 - 33*z**2 + 31*z + 53. What is -11*d(b) - 6*n(b)?\nAnswer: b**3 + 11*b**2 - 10*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 1. What is the remainder when 38 is divided by d(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/53 or -456?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 58. What is the least common multiple of p and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 73*x + 657. Let w be l(-9). Let j(g) = 2*g + 11. Calculate j(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/378)\/(3\/(-18)*2).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:49 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82303 and 9126?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.667301*97.\nAnswer: -64.728197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 3*j - 9. Let f(p) = p**2 - p + 4. What is -5*f(v) - 2*w(v)?\nAnswer: -v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 35*c**2 - 1191565*c + 227153630 = 0.\nAnswer: 1342\/7, 33853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ab (base 13) in base 4?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9206337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -18*c - 49. Let k be y(-3). Let a = -16 - -29. Which is greater: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51400 divided by -40?\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h. Let a(o) = 2*o**2 + 40*o - 60. Let v(k) = -5*k**2 - 80*k + 100. Let z(c) = -5*a(c) - 3*v(c). What is m(z(u))?\nAnswer: -55*u**2 - 440*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/13 (c) -1\/2 (d) -1\/5 (e) -0.4 (f) 5 (g) 1027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from eaaaluelavuavvvvaa?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 157753.8 to the nearest 1000.\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, o: 3}. Give prob of picking 1 d and 2 o.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 7:17 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/6 + (-2)\/3. Suppose -8*z + 3*z - 15 = 0. Let x = z + n. Solve 4*i + 0*f - x*f + 26 = 0, 4*i = -2*f - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 + 463614?\nAnswer: 463662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852563?\nAnswer: 3, 617521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 7, -2, -491, 143.\nAnswer: -491, -5, -4, -2, 7, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3391019 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 532509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 855, 2, -11, -1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 6, v: 3, r: 3}. What is prob of picking 1 v, 2 x, and 1 r?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -561*l + 565*l - 70, -3*a + 65 = -l. Calculate the remainder when 1507 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7 + 5*y - 59180*y**2 + 59173*y**2 + 5*y**3 - 4*y**3. What is x(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(891))**2 + 5.\nAnswer: -36*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.08 + -1685.\nAnswer: -1676.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370829385.\nAnswer: 3, 5, 1019, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c**4 + 116*c**2 - 116*c**2 + c**4 + 0 + 0 + (2*c**3 + 3*c - 3*c)*(4*c - 3*c + 0*c))*(-5 + 1 + 1)*(-3*c + 0*c + 2*c).\nAnswer: 45*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2075*x**3 - x + 103747?\nAnswer: 6225*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7846873 milliseconds in days?\nAnswer: 0.00000013639684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 + 183*k**2 + 386*k - 502. Let m be v(63). Solve 27\/4*x + 27\/4*x**m - 3\/4*x**3 + 0 - 3\/4*x**4 = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1550?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 1. Let x be (-6 - -7)\/(-4 - -3). Let f(w) = -w. Suppose 2*q + 5*r = -28, -q - 5*r - 24 = -0*r. Calculate q*f(d) + x*t(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38308302*t**3 + 4*t**2 - 520936789*t wrt t?\nAnswer: -229849812*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2057) + 2*sqrt(2057) + 1).\nAnswer: 6 + 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 16. Does 4 divide 8\/3*12\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohzcx. Give prob of sequence zc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 37 + 11 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*f**4 + 40*f**3 - 4*f**2 - 56*f = 0. Calculate f.\nAnswer: -1, 0, 2, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/5 - 46*k + 231\/5 = 0.\nAnswer: -231, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -362770.1 - 0.2\nAnswer: -362770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.08 and -49?\nAnswer: 199.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*u = -6, 2*u - 6 = -0*u. Sort -4, -1, c, 4 in descending order.\nAnswer: 4, c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 47. Determine l(8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*u - 5*i, -2*u = 3*u - 3*i + 45. Let p = -4 - u. Suppose 9*c = p*c + 92. Calculate the greatest common factor of 69 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3666 and 470?\nAnswer: 18330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qze when three letters picked without replacement from zqbeh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000230213642 to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d. Let a(z) = 2*z**2 + 4*z. Let p(x) = 31*x - 16*x - 16*x. Let b(l) = -a(l) - 4*p(l). Determine b(c(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - t**2 - 2*t - 5 - 3 + 2 to k*t + a*t**2 + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*j - 5152 = 297*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/110 and 187\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10161920 and 63512000.\nAnswer: 254048000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0 + 18*q**2 - 1\/25*q**3 + 0*q - 1\/150*q**4 + 1\/750*q**5. Factor l(v).\nAnswer: 2*(v - 3)*(v + 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -1\/60*k**5 - 11 - 2*k**3 + 1\/6*k**4 + 0*k + 0*k**2. Let u(m) be the third derivative of o(m). Determine u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 730 + -541. Calculate the lowest common multiple of x and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from oyarryyyyrreyeorry?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11030 or 610?\nAnswer: -11030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 4*i + 14*i)*(-2 - 3*i + 2).\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184 - -130. Let j = 90 + z. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 3 (c) 0.3 (d) -2 (e) -10 (f) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113\/30 + -25\/6. Let j = 19.015 + -19.015. Which is the closest to j? (a) d (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1305 - 4270 = -5*n. Suppose 0 = 3*f + 5*p + 436, 3*f - 5*p + n = -f. Is ((-84)\/f)\/((-2)\/(-1477)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 575242 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8627777 millimeters in micrometers?\nAnswer: 862.7777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27075*j**4 + 442*j**2 + j - 22386827 wrt j?\nAnswer: 108300*j**3 + 884*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:48 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9589806?\nAnswer: 2, 3, 177589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5214.\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*n + 225*n - 161 = 3*u, -4*u = -n + 5. Suppose 0 = 8*k - 4*k - 732. Calculate the remainder when k is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 16*f**2 + 2*f. Let d be p(2). Let y = 159 - d. Suppose -y - 161 = -4*v. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10 + 9 + 6 - 16*n. Let j be v(-5). Let x = 193 - j. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -101, -151, -201?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2019 + 1011 + 1008 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -972, -705, -270, 321, 1056?\n\"Answer: -2*m**3 + 96*m**2 - 7*m - 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6473477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63389439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 126 = 4*z - 38, -3*k + 49 = -2*z. Let c be 25\/5 + 1 + -2 + -2. Is 2\/c - z - 3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 533255430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2553147.\nAnswer: 3, 94561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018095 rounded to seven dps?\nAnswer: -0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 - 113 = -2*s, -4*p - 49 = 5*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*b + 12, -2*m + 5*b - b - 2 = 0. Let w be (24\/15)\/((-2)\/(-5)). Let q(h) = h**2 + 5*h + 5. Let c be q(-5). What is the closest to -1 in w, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/2)\/d)\/d)**(8\/7))**(-4\/37) assuming d is positive.\nAnswer: d**(16\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13910 is divided by 1841.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 4720 = -47*y. Calculate the highest common divisor of 36 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 19*l = 14160. Let d be l\/(-826)*(-2)\/(-4). Solve d*m**3 + 2\/7*m**4 + 0 + 16\/7*m + 24\/7*m**2 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c - 61. Let u be j(17). Let z(s) = -u*s + 5 + s**3 + 23*s - s**2 - 9. Calculate z(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 h when three letters picked without replacement from ittkitmiihmmmhmim?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1920715109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, -0.18, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1654 and 2?\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*1*2\/(-5)*(-6125)\/2450?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -993472, -993513, -993554, -993595, -993636?\n\"Answer: -41*k - 993431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 872452 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10224400 by -80.\nAnswer: 127805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + a + 5 - 7 = 0, 2*l = 5*a + 2. Let f be (-5 + 3)*(-2)\/l. Is 5\/12 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1106.\nAnswer: 5\/1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/8, -0.21, 1\/6, 9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -314*p**4 + 630*p**4 - 327*p**4 - 4*p**3 + 3 - 4 + p as n + t*p**3 + m*p**4 + a*p + j*p**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7517237.\nAnswer: 7, 13, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (41 - (2 - 26 - -13))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j + 42. Calculate the remainder when y(-5) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + 32 = -31 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/15))**(-9))**19 assuming m is positive.\nAnswer: m**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzfszgszyzyzszzsz. Give prob of sequence yzz.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i*i*i**(2\/31))\/(i**(3\/8)\/i*(i\/i**12)\/i) assuming i is positive.\nAnswer: i**(1659\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 72 = 24. Let a(u) = -3*u - 7. Let q(v) = 2*v + 4. Calculate j*a(s) + 10*q(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -199*d + 65*d + 7772. Solve 435 = d*x + 29*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) - (sqrt(7) - (sqrt(7) + sqrt(7) + 1 + -5)) - sqrt(7)) - 4*sqrt(63)\/sqrt(9).\nAnswer: -2*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, e: 11, b: 2}. What is prob of sequence nbne?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14645196, -14645201, -14645206, -14645211, -14645216?\nAnswer: -14645221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 9:06 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (180 + -194)*(358\/(-14) + -1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190414617343 - 41?\nAnswer: -190414617384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 4*z**2 + 3*z. Let k be 3 + (8 - 3)*-1. Let l be g(k). Let h = -77 + 142. What is the greatest common factor of l and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 16, 1 in decreasing order.\nAnswer: 62, 16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 20*g**2 - 5*g + 51. Let v be l(10). Suppose 2 = 2*r - 0. Solve -2*d = -r - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 4 (c) -2\/71 (d) -63 (e) 3\/5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-10)*s**(-15)*s**(-8)\/((s\/(s\/(s**(-11)\/s)*s))\/s) assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32384, 129970, 292614, 520316, 813076, 1170894, 1593770?\nAnswer: 2081704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -67*i + 40 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22227348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 + 102*x**3\/5 - 160*x**2 + 696*x\/5.\nAnswer: 2*x*(x - 6)*(x - 1)*(x + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q + 2*q)*(1829 + 46*q - 1829) + 4427 - 4427 + 17*q**2 to u*q**2 + y*q + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2 - 26. Let l be (-1)\/((b\/(-2))\/12). Let s = -0.1 - -0.3. Sort s, 3, l in decreasing order.\nAnswer: l, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f = 51*f - 96. Let m(c) = 13*c - 5. Suppose -2*i - 6 = 2*g, -6*g = -g - 10. Let o(w) = -84*w + 32. Calculate f*m(s) + i*o(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20369697*k**4 + 5*k**3 + 484574503?\nAnswer: 81478788*k**3 + 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 5, h: 1, d: 1}. What is prob of picking 1 o and 1 n?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 63*o - 59*o + 51975, -2*g - 5*o = -104002. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20032*h**2*t**3 - h**2 + 3*h*t**3 - 319*t**3 - 328*t wrt h.\nAnswer: 40064*h*t**3 - 2*h + 3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*k**3 + 2)*(-163 - 40 + 317)*(0*k + 0*k + k) as s*k**3 + a + n*k**4 + z*k + v*k**2 and give n.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 130456\/3, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -3487, -5, 0.5, -4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 + 184. Suppose 8*z = -z + h. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -2 + 2)\/1. Suppose -a + 3 + s = 0. Suppose -4*k + 5*g = 2, a*g + 0*g - 14 = -2*k. Solve -k*x + 5 - 11 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by -5394\nAnswer: -89\/5394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17ad + 5?\nAnswer: -17a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2965 and 10535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*b + 4*b + 140. Let i(r) = -r - 1. Let h(k) = 3. Let z(n) = h(n) + i(n). Calculate the remainder when z(b) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 24*h. Let p(g) = -2*g**2 + 103645. Calculate c(p(n)).\nAnswer: -48*n**2 + 2487480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 10 + 3*y**2 + 15*y - 1240*y**3 + 8*y**2. Let z be f(-10). What is z rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + 1 - (-27 - (-54 + 32))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56069, 56063, 56057, 56051?\n\"Answer: -6*d + 56075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (46 - (7 - 4)) + -1. Suppose -4*m + m = 15, r - f = m. Suppose 3*l - 309 - 132 = 0. Calculate the remainder when l is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -24b81?\nAnswer: -24b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**3\/6 - 4*c**2 - 3*c. Calculate a(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*m + 3*m. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33562*u - 33564*u + 5*o + 7 = 0, -4*u - 5*o = -29 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.041 + -3.959. Which is the third biggest value? (a) -2\/5 (b) 8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c - 2. Let q be b(1). Suppose -m = -q*m + 12. Let o(r) = 19*r**2 + 1 + 5*r**3 - 35*r**m + 14*r**2. Determine o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-40)\/(-330) + (-620)\/(-110)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438482.314 + 18.127?\nAnswer: 1438500.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 + 62. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*g = 98. Let j = g + -16. Sort 5, j, 3.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215512313 (base 6) to base 5.\nAnswer: 2000210143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -110. Suppose 36*m - 540 = d*m. Suppose 2*p = 4*y + m - 792, -159 = -y - 5*p. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*((sqrt(27)*-6 - (sqrt(3) + (sqrt(3) - -1*(sqrt(3) + -2))))*-4)**2.\nAnswer: -8064*sqrt(3) + 127387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3423199*q. Let k(y) = -8*y**2. Give k(v(f)).\nAnswer: -93746331148808*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -195113708.6 to the nearest 1000000.\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 5. Which is the closest to h? (a) 0 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 16814.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*b + 3908, -2*b + 5*b + h = 2951. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2))\/s)\/s**(2\/5)*s**(2\/11)\/s*s*s**(1\/4) assuming s is positive.\nAnswer: s**(-433\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**4 + 9*o**3 - 3*o + 6. Let v(r) = -14*r**4 - 8*r**4 + 17 - 10*r + 26*r**3 + 5*r**4. Let d(n) = 8*f(n) - 3*v(n). Factor d(k).\nAnswer: 3*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28061721*t**3 - 1236446073*t**2.\nAnswer: -168370326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 346300 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4001 and 503.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 9) to base 14\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 32*v. Let y(b) be the second derivative of 5*b**3\/3 + 9*b - 1. Give r(y(a)).\nAnswer: 320*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p - 4*p + 2*p**2. Let f(k) = -26*k + 16. Let m(u) = -5*u + 3. Let a(z) = 3*f(z) - 16*m(z). Determine a(t(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 83 = -21. Suppose 5*j = 4*q - 501, j = 4*q - 329 - 168. What is the highest common divisor of q and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183910.\nAnswer: 2, 5, 53, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -1*(3*sqrt(539)*-2)**2 + -2*(sqrt(539) + -2 + sqrt(539) + sqrt(539)) + 1) + 4.\nAnswer: 210*sqrt(11) + 96994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 3 + 3)*(311*u + 373*u - 200*u).\nAnswer: -1936*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13668 + -8630. Let o = 15038 - b. Round o to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655)*-1 - sqrt(55))\/(-6*(sqrt(180) + sqrt(5))) + (sqrt(99) + sqrt(99) + -1 + sqrt(99) - sqrt(99)) + -4 + sqrt(99) + sqrt(44)\/(2*sqrt(196)))**2.\nAnswer: -655*sqrt(11)\/7 + 193671\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*j + 1636 = 0, -13*j + 12*j = 2. Calculate the greatest common divisor of q and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**8\/112 - w**7\/70 + w**6\/40 + w**5\/20 + 7*w**2. What is l in o(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, i: 2, d: 3, k: 3, o: 1}. Give prob of picking 2 k and 2 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6967980769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11829, 25577, 41271, 58905, 78473, 99969, 123387, 148721?\nAnswer: 175965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9451755 to the nearest integer?\nAnswer: 3074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 617 + -435. Let o = u + -181.9. Do o and 7.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 + 5 - (-2 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73429681*h - 86435683.\nAnswer: 73429681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1247 + 1243. What is the third biggest value in 19, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*f + 3*l - 59, 4*f - 328 = -l. Let t = -43 + f. Solve 5*s = 3*y + t, 4*y - 3*s - 2*s + 45 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/45*(-252)\/(-280)*(-10)\/6\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.5 (c) -4\/5 (d) 3\/4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 1107, 1651, 2189, 2721, 3247?\nAnswer: 3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a minute in seconds?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 0 - 3 + 2 + 3 - c - 3 + (-3*c - 2*c + 4*c)*(-2 - 1 + 4) - 4 - 2*c + 4 - 2 - 2*c + 2.\nAnswer: -5*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24839\/4396 + -2\/5495. Let f = o + -21\/4. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702 + 233 + 234 + 235 + 16706*j.\nAnswer: 16706*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1894\/5 or -378?\nAnswer: -1894\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 423.8 + -423.86. Let x = -6 + 2. What is the fourth biggest value in -2, -2\/7, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 6*a**2 - 7*a - 17. What is u(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*d - 89*d + 42*d + 2*d - 4*d - 2*d - 2 - d + 2 - 3*d + 3*d - d + (-4 + 2 + 3)*(2 - d - 2).\nAnswer: -117*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 3*j. Suppose -4*o + o = 2*r, 5*o = -j*r. Solve t + o = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(900)*-6)\/(sqrt(2)*-1*6 + sqrt(242)*-1))**2.\nAnswer: 64800\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 21\/9)*-3. Factor -5*y**2 + n*y**2 - 10 - 15*y - 5*y**2 + y**2.\nAnswer: -5*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -155253130?\nAnswer: -155253125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**36\/h**(-27) assuming h is positive.\nAnswer: h**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121652525 - 5?\nAnswer: -121652532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.3606767 days?\nAnswer: 8.6562408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -712, -1067, -1424, -1783, -2144, -2507?\nAnswer: -2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 5*z**2\/2 - 25*z + 126. Let i(x) = -x + 4. Let m(a) = 25*i(a) + 4*q(a). Let p(j) = -12*j. Calculate p(m(v)).\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d - 1. Let i(k) be the first derivative of 2*k**3\/3 - 7*k**2\/2 + k + 22. Let z(l) = -5*i(l) - 6*t(l). What is z(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 + 17*l - 60. Let g be x(3). Let r(y) = y**2 + 37*y + 39. Let u be r(g). Solve -3*n - n + h - 5 = 0, u*n + h - 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:03 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*(v\/((v**(-1)*v)\/v))\/v)**25*(v**0)**(-2\/131)*((v*v**1)\/v)**(1\/20) assuming v is positive.\nAnswer: v**(-3499\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g**2 - 55*g + 3096. Let o(c) = -8*c**2 + 30*c - 1549. Determine -11*o(w) - 6*r(w).\nAnswer: -2*w**2 - 1537","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 319*k - 316*k + 6, -5*r + k = -14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -646 = 9*u + 470. Let l = -88 - u. List the prime factors of l + 4 + 1 + -2.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s**2 - 392 + 2*s**3 + 793 - 393 in the form d*s + a*s**2 + g*s**3 + z and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101550634 + 6?\nAnswer: 101550640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjr when three letters picked without replacement from zrjcjwyzwcwcczj.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((1*5*4\/(-20))\/(-1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17730*f**6 + 7*f**2 + 2009*f?\nAnswer: -2127600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5893 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 (base 8) in base 7?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98291.46 hours to nanoseconds.\nAnswer: 353849256000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85, 340, 765, 1360, 2125?\n\"Answer: 85*q**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 2. Let m be d(1). Is 15 a factor of (-448)\/(-10) + m\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(396) + sqrt(121)\/(sqrt(11)*-1) + sqrt(11))**2*-2.\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -493 - -0.30074957?\nAnswer: -492.69925043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -2. Let d = -0.5 + 0.3. Let z = d - h. Which is the second smallest value? (a) z (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-566*a - 567*a + 1132*a - 982 - 1123)*(0 + 4*a**2 + 0).\nAnswer: -4*a**3 - 8420*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and 41\/80280466.\nAnswer: 80280466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 341762*i*l**2*x**2 + i*x**3 - 271*i*x - 28*l**2*x + x**3 - 171*x wrt x.\nAnswer: 683524*i*l**2 + 6*i*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08529 - 0.08529. Which is the closest to u? (a) -2\/15 (b) 5 (c) -0.01 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61636 is divided by 11310.\nAnswer: 5086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68970 = 5*u + 13720. Let c = -496229\/30 - u. Calculate the common denominator of c and 59\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlll when four letters picked without replacement from jljljl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 1. Let m(y) = 3*y + y - 3*y - 3*y. Determine -3*d(a) - 4*m(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -0.1 (c) 4\/7 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times 18642\nAnswer: -4846.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -2624.85?\nAnswer: -2632.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*d - 4 - 134, -70 = -h - 5*d. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4286)\/8 - 7\/28. Is (a\/12)\/(2\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131835451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 23*z + 199. What is the hundreds digit of f(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b16 (base 12) to base 13\nAnswer: -3b4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 109 + 11*i**4 - 50*i**3 - 111 - 9*i**4 + 3*i**2 - i - 5*i**2 in the form y*i + s*i**3 + h*i**2 + a*i**4 + m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose 3*m = 12, -o*j + m = -56 - 26. Let a = j + -31. Solve 0*l - a = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80212, -160446, -240686, -320926, -401160, -481382, -561586?\n\"Answer: v**3 - 9*v**2 - 80214*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + g = 1242, 4*b + 0*g + 999 = -g. Let v = -243 - b. Calculate the greatest common divisor of 26 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*v + 411 - 416, 2*v = -2*a - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*u = -14, u - 3*u - 6 = 0. Suppose f*d - 12 = 6*d. Solve 4*b + d = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0058 + -412.0058. Let q = 412.267 + t. Round q to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p**4\/6 - 191*p**3 + 271*p**2\/2 + 163*p\/3 = 0. What is p?\nAnswer: -2\/7, 0, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 140?\nAnswer: 13\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -383905, 1.\nAnswer: -383905, -33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5099 + -5098. Is 2\/21535 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4629 = -1834*v + 291*v. Let l be 57\/6 - 1\/(-2). Determine d, given that -l*d**2 - 2 + 5*d**v + 15\/2*d + 0*d**4 - 1\/2*d**5 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3078733 by -3.\nAnswer: 3078733\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*n - 21, 1976*n + 7 = -q + 1978*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -19*q + 227. Determine k(27).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 16) to base 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**7\/7 + g**5\/20 + 15*g**4\/4 - 22*g**3\/3 - 5*g**2\/2 + 3820*g. Find the second derivative of x(t) wrt t.\nAnswer: 120*t**3 + 6*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.2. Let x = -358 + 361. What is the third smallest value in o, x, 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2807 is divided by 591.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 13*k + 266. Let o be m(11). Solve -21 + 156 + 787*b**o - 135*b**3 - 657*b - 286*b**2 + 12*b**4 = 0 for b.\nAnswer: 1\/4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = l + 13, 2*p = -5*l + 11*l + 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -56. Solve -5 = -y*l + p, 5*p = -0*l + l - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*f - 9*f**2 - 79*f to the form i*f + o*f**2 + z and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -423 (b) 3\/19 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23700, 21144, 16878, 10896, 3192, -6240, -17406, -30312?\n\"Answer: -n**3 - 849*n**2 - 2*n + 24552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9)*((-3)\/12 + -2). Let p be (-8 - -8) + 1\/(-3). Which is the nearest to s? (a) p (b) -1\/10 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 36, 37, 38?\n\"Answer: v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -25*t + 778. Let j(c) = 8*c - 255. Calculate 4*a(m) + 11*j(m).\nAnswer: -12*m + 307","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303212101221 - -11?\nAnswer: -303212101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111592340.\nAnswer: 2, 5, 5579617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 1156*l**2 + 26384*l + 150544 = 0.\nAnswer: -194\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*j + 19*j - 24*j - 56*j in the form u*j + s and give u.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 43*q**2 + 39*q - 54. What is l(-42)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 r when four letters picked without replacement from {o: 5, r: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -481 - -485. Calculate the highest common divisor of d and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3440)\/(-86)*8*65\/208?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -10\/43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149256565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/541261 and -24\/2860951.\nAnswer: 20026657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23697 by -4.\nAnswer: 23697\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 2016\/98 - (-4 + -1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1310, -1574, -1918, -2264, -2534, -2650?\nAnswer: -2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 249?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4*u - 15. Let f be p(-5). Let g = 139 - f. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 131. Let m(t) = 89*t + 52. Let o be m(0). Is b at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + z + 4. Suppose a + 4*d - 15 = 0, 5*a - 3 = 2*a + 2*d. Let i(l) = 2*l + 4*l**2 + a*l + 1 + l**2 + 20. Calculate 2*i(c) - 11*p(c).\nAnswer: -c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -20.3?\nAnswer: 101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 6)*3\/2. Suppose l = 3*q + 3*y, q - 2*y = -0*y. Suppose 4*r + 3 - 1 = 5*v, 3*v + 2 = 4*r. Solve -3*g + 5*f + 6 = 1, -v*g + 6 = -q*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -10.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2 - 6*p - 7. Let n(y) be the second derivative of y**4\/12 - y**3\/6 - y**2\/2 + 3*y + 37. Give -6*n(c) + r(c).\nAnswer: 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59158, -118251, -177344, -236437?\n\"Answer: -59093*k - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-10)\/(-6)) + -4. What is the units digit of 1\/(0 + (m - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 24 = 3*l. Let v be 16\/6 - l\/9. Let o be 5\/v - (-3)\/6. Solve o*c + 7 + 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*(2 + 3 - 1)*(2 - 2 + 1)*(-2 - 4 + 2).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 470*s + 2786. Calculate n(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147768958*x**4 - 123174935*x + 2.\nAnswer: 1773227496*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 35457, -0.9, -44?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 + 1 - 1 + (73 + 2*b**3 - 73)*(b - b - 4*b + (-b + 0*b - b)*(-3 + 0 + 4)) as c + m*b**4 + s*b**3 + n*b + p*b**2 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1030566, 0, -2\/11?\nAnswer: 1030566","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.91605 litres in millilitres?\nAnswer: 28916.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q - 684 = 1641. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6149.\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 605 (c) 2 (d) 0.2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 10:22 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 22\/17*y**4 + 28\/17*y**2 + 70\/17*y - 4*y**3 - 50\/17 - 2\/17*y**5 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 214536, 429064, 643562, 858030, 1072468?\n\"Answer: -15*c**2 + 214573*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 29*z - 3. Does 34 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 458562851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 62*u + 7*u - 140 = 0. What is the nearest to 2\/3 in -1\/3, -5, 46, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 - 2122?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 150*j - 23*j - 760 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 3275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 52702847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrzmmmcmmzgmrrmmmmr. What is prob of picking 1 r and 1 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 2*i - 1. Let t(g) = -827*g**3 + 20*g**2 + 12*g - 5. Let o(y) = t(y) - 6*x(y). Find the third derivative of o(k) wrt k.\nAnswer: -4998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4524\/(-16))\/(-1) + 2\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 45*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.0789971.\nAnswer: -0.1579942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*i = 44*i + 31*i - 27. Solve 4\/5 + 8\/5*w + w**2 + 1\/5*w**i = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 251274 and 49626615.\nAnswer: 99253230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -335?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15))\/(1\/55 + (-56)\/(-308)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81.633 - -0.133. Let f = n + 81. Which is the third smallest value? (a) 2\/19 (b) f (c) 5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**3 - 76405*q**2 + 291924400*q - 291848000 = 0?\nAnswer: 1, 7640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0 + 4 + 1)*(2 + g - 2)*(4 - 4*g**4 - 4).\nAnswer: 40*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -84309886790 take away -0.056?\nAnswer: -84309886789.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -974722031 + -0.4.\nAnswer: -974722031.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i**4 - 11*i**4 + 22*i**4)*(2 - 7 + 3) + 2*i**4 - i**2 + i**2 - 2*i**4 - 4*i**4 + 4*i**4.\nAnswer: -52*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 15 - (-1 + 9) - -8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 86386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3 - 10*h**2\/3 - 27*h + 28\/3 = 0.\nAnswer: -4, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -12. Let d = c + 38. Are -5 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1929*w**2. Let g(a) = -39*a**2 - 14*a - 14. Let q(l) = -56*l**2 - 20*l - 20. Let c(s) = 10*g(s) - 7*q(s). Determine k(c(m)).\nAnswer: -7716*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 + 2*s - 1. Let h(m) = -m**3 - 5*m - 6. Calculate h(n) + 2*u(n).\nAnswer: n**3 + 2*n**2 - n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 9*d**2 - 371*d - 14. Let g(j) = -j**3 + 4*j**2 - 186*j - 6. Give 9*g(a) - 4*k(a).\nAnswer: -a**3 - 190*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -123979647 divided by 62711\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:16 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g + 2, 14 = -4*k + 2*g. Is -6 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200.6101 decades to years.\nAnswer: 2006.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -17*b - 241. Let u be v(-14). Let d(x) = -x**3 - x**2 + 3*x - 1. Give d(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*1*-4*3. Let g = -443 + 438. Let h be -8*(g + (1 - -2))\/2. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -53. Let d = h - -415\/7. What is the nearest to -2\/3 in 3, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*f + f**2 + 370*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*f**3 - 132*f**3 + 9*f**3)*(2 - 4 - 1).\nAnswer: 405*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*x - 5*v, 2*v + 3 = 1. Suppose 10 = -2*m + x, 2*m = y - 10. Factor -5\/4*c**3 - 5\/8*c - 1\/8 - 5\/4*c**y - 1\/8*c**5 - 5\/8*c**4.\nAnswer: -(c + 1)**5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -235 - -362. Let r = -633\/5 + u. What is the biggest value in r, -2\/7, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6205674 to 4 dps.\nAnswer: 0.6206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24b61 (base 14) to base 6.\nAnswer: 1532521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.288 + 1.022. Round f to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -0. Let q be (c\/4)\/((-8)\/16). Is -3\/2 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 2:24 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bpbbpbbpbbbbbbbb?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.25+-65\nAnswer: -65.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 90 + 24. Let i be (2\/g - 1)\/((-6)\/21). Let l = 10 - 9.9. Put i, 4\/5, l in ascending order.\nAnswer: l, 4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312977 to the power of 1\/2, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 42 - 1 = -3*v - 5*s, 64*v + 82 = 2*s - 94 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10397003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - -95 - 0 - (592 - 578).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 15. Let j(a) be the third derivative of -a**4\/8 - a**3\/3 + 4*a**2. Let z be j(h). Solve 2*y - 9 - z = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269174 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + y + 1. Let j be t(-1). Let z be (-1)\/2 - j\/12. Is 0 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + u - 2*u + u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -302.54 - -306. Let z = -0.14 - f. Let d = z - -1.6. Which is the second smallest value? (a) d (b) 2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/c)\/c*c**(-1)*(c**(-3))**43 assuming c is positive.\nAnswer: c**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let h be 1\/(d\/(4\/2)). Let o be ((-3)\/2 - -1) + h. Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 0)*(-7)\/2. Let s be (2\/(-5))\/((-308)\/40 - l). What is the second smallest value in 6, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2393226 and -181\/2659140.\nAnswer: 23932260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5604, 5, 0.843?\nAnswer: 0.843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*a - 16, -4*a + 463*r = 466*r - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.693 + -0.093. Let o = p + -6.6. Let d = -11 + 8. Which is the third biggest value? (a) d (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v - 5. What is the second derivative of 1172*m**v - 1179*m**2 + 0*m + 18*m wrt m?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.89 * 5.\nAnswer: -4.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.096.\nAnswer: -0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 2*s**4 - 5*s**4 + (7*s + 5*s - 6*s)*(5*s**3 - 2*s**3 - 2*s**3) - 2*s**4 + 4*s - 4*s - 3*s**4 + 5*s**4 + 2*s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, 1 b, and 1 l when four letters picked without replacement from llalbaootbol?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4 + 8. Solve -m - 12 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*q + 9. Suppose 0 = -k - 2*g + 154, 7*g + 728 = 5*k + q*g. Let f = k + -69. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9660, -22372, -35084, -47796, -60508?\n\"Answer: -12712*t + 3052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 37. List the prime factors of 85 - (u - 0) - 3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffuu when four letters picked without replacement from uufufu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226252966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23208 - 33055 - 29775 - 24530 + 16753 + 16971)*(-4 + 4 + f).\nAnswer: -76844*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -1395, -2680, -3965, -5250, -6535?\nAnswer: -7820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 29a4857a?\nAnswer: -29a48577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 + 30 + 22*x**3 + 0*x**2 - 2*x**2 + 32 - 21*x**3 + 59*x to y + b*x**2 + g*x**3 + l*x and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a + 1. Let j be -1 - 0 - -3 - 1. Let q be z(j). Suppose 4*u - q = -0*u, -5*u = 4*h - 2. Is -2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-3) + 1\/3)*(-612)\/(-216)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25690 - -14963. Does 58 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j. Let v(f) = 20*f**2 - 9038 + 9038. What is v(c(a))?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 77?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = c + 2, 2 = 4*o - 3*c - 5. Calculate the smallest common multiple of 3 and (o\/(-4))\/((-1)\/28).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -3516?\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/30*((-9)\/2)\/(288\/(-384))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -4. Suppose p*f - 4*f - 25 = 0. Suppose f*b - 80 + 10 = 0. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 7 = r, -4*r = -3*g - 13. Solve 3 = 2*p + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(357)\/sqrt(7) + sqrt(51) + sqrt(51)))\/(sqrt(27)*-6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 13.7878 (b) -1\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from hkhhahlkpahh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 72582*y + 11910573.\nAnswer: -3*(y - 24357)*(y + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 times 16.7246?\nAnswer: 0.4348396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q**2 + 16*q + 3. Let n(y) = -3*y**2 - 4*y - 1. Let f(a) = 2*k(a) + 9*n(a). Let o be f(-3). Suppose 0 = -s - 6*s + 14. Solve o = 5*t - s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 21, 28, 33?\n\"Answer: -z**2 + 12*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*h + 37*h = -130. Suppose -2*i = -2*p + 14, -6*p + 2*i + h = -p. Solve -p*t + 4*j = -12, 5*t + 4*j + 28 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7))\/((18\/(-630))\/((-2)\/10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*p + 351 + 243 = 132 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -102, 3, 323 in descending order.\nAnswer: 323, 6, 3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104.364216 + -234.3642. Let o = -130 - q. Round o to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 310 = -14*g + 159*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 102, -0.03?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 8*i + 17. Let b be n(3). Suppose j + 3*x - 23 = -b*x, -4*j = -3*x. Solve r - 3 = -r + l, -5*r = -j*l - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773215645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/8984 and 43\/149359?\nAnswer: 1194872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 16, 13, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44\/7 - 1818\/287. Let l = -0.24 + 0.34. Let r = -4.9 - l. What is the nearest to 1 in 0.1, v, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/4)\/t)**(7\/3)\/((t\/(t**(-15)*t))\/(t*t*(t*t\/t**(-2\/3)*t)\/t*t*t)))**(1\/26) assuming t is positive.\nAnswer: t**(-121\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + (-3 - (-2 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17023, -68213, -153427, -272581, -425591, -612373, -832843, -1086917?\n\"Answer: 14*i**3 - 17096*i**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/84286 and 49\/22.\nAnswer: 927146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 31. Suppose 5*i = 9*i + 232. Let j = 85 + i. Calculate the highest common divisor of v and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16*m\/(m*(m**(-1\/26)*m)\/m))\/((m\/(m\/m**40))\/(m\/(m*m**27))) assuming m is positive.\nAnswer: m**(-1325\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*h. Let r(u) = -u**2 + 4*u + 1. Let p be r(5). Let y be 1\/2 - (-2)\/p. Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 1\/6*n**3 - 20*n**2 + 1\/30*n**5 + 0*n + 0*n**4 + 1\/3*n**6 + 0. Is m(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -757*m + 39*m**2 - 21*m**2 - 15*m**2 in the form q*m + k*m**2 + x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m**10\/m)))\/m**11)\/((m\/(m\/(m**(-2\/7)*m)))\/(m\/(m\/((m\/m**(5\/2))\/m*m)))) assuming m is positive.\nAnswer: m**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/120 + 7*l**5\/60 + l**4\/4 + 3*l**3\/2 - 19*l**2 - l. Calculate o(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, i: 1, k: 2}. Give prob of sequence ki.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/35)\/4)\/((-21)\/70).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/1 - 1356292\/85384?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 181?\nAnswer: 18.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11011*z + 407405. Give t(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429131058?\nAnswer: 2, 3, 71521843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - d = 15, 2*s + 0*d = 2*d + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 = 2*n - 5*k + 340, 82 - 278 - 250 = 10*n - 2*k for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3951*k**3 - 557*k wrt k?\nAnswer: -23706*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10323130333 (base 4) to base 6.\nAnswer: 43405531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.039 in -6\/107, -2\/31, -5?\nAnswer: -6\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9796 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -491?\nAnswer: 4\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6290 and 1530?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/7)*y*y*(y*y\/((y**(7\/2)*y)\/y))\/y)\/((y\/(y**(5\/4)\/y*y))\/(y**1\/y)) assuming y is positive.\nAnswer: y**(-19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 27 = -i + 4*i, g = -3*i + 9. Suppose -2*c = 2*m + m + 1, 6 = -2*m. Solve 5*u - i*u + 8 = c*n, -n = -2*u - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-2))\/(8 + -7). Solve 23*s**3 - 16 + 28*s**q - 35*s**3 + 24*s**3 = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.964503cm?\nAnswer: 0.00964503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2 - 46*o + 80. Let n be g(5). Is 2\/2021 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = -5*z. What is the third derivative of j - j**4 + 17*j**2 - j - 34*j**4 + z wrt j?\nAnswer: -840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (3 + -4 - -5) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022 (base 6) in base 3?\nAnswer: -220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5998906 micrograms?\nAnswer: 0.0000000005998906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 9. Let u be n(-14). Suppose 2*v = u + 1. Suppose -a - v = -18. What is the highest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85697768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599364282.\nAnswer: 2, 3, 11, 9081277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l. Is 17 + 3 + (-3 - l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/260 and 33\/194?\nAnswer: 25220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 160 = -3*l, -5*l + 275 = 2*w - 7*w. Suppose 3*j - l = -12. Calculate the smallest common multiple of j and (-25)\/(-4) + 2\/(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 31\/24*8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)\/(((k*k**(2\/3))\/k*k)\/k)*k**(-1\/5)*k**(-12) assuming k is positive.\nAnswer: k**(-283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -4*q**3 + 9*q - 1. What is the first derivative of t(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80286901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 279 - 284 - 2*v**2 + 9*v. What is i(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448.06 less than 0.1?\nAnswer: -2447.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/22554202?\nAnswer: 3\/22554202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d)**(-1\/18)*d*d*d\/d**(-22)*d\/(d\/(d**(1\/17)\/d)) assuming d is positive.\nAnswer: d**(7243\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(5*sqrt(54)\/sqrt(6)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18 - 4) + 21 - 0) + 8 - (0 + -109)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-4 - (1 + -3)) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28606, 40889, 53172?\n\"Answer: 12283*y + 16323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 863 = -5*o + 3*o, -2*i = 5*o - 2056. What is the highest common divisor of 2622 and o?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose 23 = -v*p + 5*s, 3*s + 3 = 5*p + 48. Suppose -384 = 9*j - 267. Which is greater: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b49 + 3845?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -2*w**3\/3 - 5*w**2\/2 - 47*w - 10078. Let v(i) = 6*i**2 + 14*i + 140. Give -17*g(a) - 6*v(a).\nAnswer: -2*a**2 + a - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 38. Suppose -16*p + s*p = 0. Suppose -2*i + 122*q = 127*q + 34, -i - 17 = 4*q. Is i less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-1 + 0\/(-1)). Let s be ((-611)\/(-91) - (-6)\/21) + -1. Let r be s + (-217)\/35 - i\/45. Which is the nearest to r? (a) -0.5 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 921177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmxmmmmmmmmm. What is prob of picking 3 m?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.187 + -77.187. Let p = v + 78. What is the nearest to -10 in 5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.4 (b) -2 (c) 1\/36 (d) 0.007\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -866, -1733, -2600?\n\"Answer: -867*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 1, x: 1, c: 2}. What is prob of picking 3 l and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c**4 + 135*c**3 + 90*c**2 = 0 for c.\nAnswer: -6, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 8585?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/((-2)\/4) - 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280416712 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/720 - u**5\/10 - 25*u**4\/24 - 13*u**2. Let c(q) be the second derivative of o(q). Calculate c(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9\/25 of a micrometer?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 + 52191*n\/2 + 2913288.\nAnswer: 3*(n + 112)*(n + 34682)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 26 + -2 - 2. Let z = m - 12. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540348 is divided by 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/1573 - -7577\/3146. Calculate the common denominator of s and 21\/166.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*p + 3. Suppose -p*f + 1452 = -0*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 i(k) = -2*k**2 - 5*k - 5. Let h(m) = 3*m**2 + 7*m + 7. Let q(d) = 5*h(d) + 7*i(d). Let o(r) = r - 5*r + 6*r. Determine q(o(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3 + 1889*q**2 + 770768*q - 2040962028 = 0.\nAnswer: -987, 1438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 600 = 4*f + 404, -3*w - 177 = -3*f. Solve -6 = 24*j - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 244177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2918493183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(-6)*(-96)\/(-28). Let d = -8 + o. Solve 0 = 3*v - 4*p - 1, -d*v = 2*p + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(15)\/(sqrt(60)\/sqrt(5)))**2 - (-1*-2*sqrt(720))**2).\nAnswer: -34545\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9180 divided by 35\nAnswer: -1836\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41858678 or -41858676?\nAnswer: -41858676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 78676 (b) 5 (c) 0.3 (d) -23\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = -23*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19942, 19945, 19948, 19951, 19954, 19957?\nAnswer: 19960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 266*b**3*u + 19*b**2*u + 4*b**2 + 2*b*u wrt b.\nAnswer: 1596*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*b - 229, -c = 4*b - 2193 + 2120. Calculate the remainder when 252 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 0 + 0*h**2 - 1\/6*h**4 + h + 0*h**3. Let r(n) = -3*n + 3*n - n. What is p(r(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1579, 1471, 1369, 1279, 1207, 1159?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 3*n + 5. Determine m(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 499680*z**2 + 5 + 499676*z**2 - 999354*z**2 - 17*z. Let n(o) = -o**2 + o - 1. Calculate 4*n(c) + t(c).\nAnswer: -2*c**2 - 13*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**6\/480 - 41*z**5\/240 - 19*z**4\/48 + 10*z**3\/3 + 815*z**2. Determine p, given that l(p) = 0.\nAnswer: -40, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + a - a)*(-51 + 116 - 196) to the form z*a + m and give z.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/89 + 118\/1335. Let i(g) = 2*g**2 + 42*g + 204. Let u be i(-8). What is the fourth smallest value in -0.4, l, -20, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 + 2*s**2 - 9*s**2)*(-12 + 12 + 12*s) + (2 - 2 + 2*s)*(-6*s**2 + 4*s**2 - s**2) to h*s**3 + u + i*s**2 + r*s and give h.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -18.0224, 0, -2\/17 in ascending order.\nAnswer: -18.0224, -2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/320 and 47\/110?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 126.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a + 13 + 846*a**5 + 90*a**4 + 843*a**5 - 1690*a**5 wrt a?\nAnswer: -20*a**3 + 1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1915859348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/138 and 13\/59406.\nAnswer: 1366338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4763 + 8666 + 4995)*(-3 - q + 3) to v*q + r and give v.\nAnswer: -18424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*c**4 + 2 + (-3*c**2 + 4*c**2 + c**2)*(-2*c**2 - 5*c**2 + 5*c**2))*(-163 - 4590*c + 4583*c + 12).\nAnswer: 14*c**5 + 302*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2691 is divided by 140?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 0.95, -0.3, 1\/20, 1\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/3))\/(c\/c**19))\/((c*c**(-1\/5))\/(c\/c**1*c)))**(2\/23) assuming c is positive.\nAnswer: c**(586\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.17 and -617 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*n = 16, 2*n + 47 - 71 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2)*(-48)\/(-30). Sort 2, k, 1, -2 in increasing order.\nAnswer: -2, 1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 25*r = -17*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3179519, -12, 0.1 in descending order.\nAnswer: 0.1, -0.3179519, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 858*s - 1715*s - 2 + 850*s. Suppose -4*o = -4*w + 1 + 3, 2*o - 3*w = -5. Let b(z) = -22*z - 7. Determine o*b(i) - 7*u(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.547 + 63.453. What is the nearest to 2 in -5\/3, -3, u?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 31. Let k = o - -6. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m**(-3\/13))\/m*m*m))\/m)**4*(m*m\/(m*m\/(m*m\/m**25)*m))\/(m*m*m**20) assuming m is positive.\nAnswer: m**(-638\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 3*w - 6 = -6*a, 2*w = -4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 678, 1354, 2030, 2706?\n\"Answer: 676*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4628*j**5 + 4785360*j**4 + 1460831844*j**3 + 115712336552*j**2 + 2706063884160*j + 4677379200 = 0. What is j?\nAnswer: -465, -52, -2\/1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3996942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. What is the second derivative of -w**3 + 2*w - 2*w**t - 3*w wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3 and ((-222)\/873)\/((-28)\/21)?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -3, 4, 2, 1 in decreasing order.\nAnswer: 52, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g - 11. Let i be o(-9). Let m be i\/6*(-18)\/(-12). Let n = m + -9. Solve 0 = -n*f + 6 - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -430*q**3 - 21*q**2 - 7*q. Let g(p) = -p**3 + 4*p**2 + p. Let a(z) = -5*g(z) - k(z). What is the third derivative of a(o) wrt o?\nAnswer: 2610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**7\/105 - c**6\/60 + c**5\/60 + 3*c**3 - 19*c**2 - 1. What is the third derivative of q(a) wrt a?\nAnswer: -48*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1361, -1357, -1355, -1355, -1357?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18593, -37240, -55887, -74534, -93181, -111828?\n\"Answer: -18647*k + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -486 + 344. Which is the smallest value? (a) 0.1 (b) 2 (c) -5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p - 2 - 2*p + 0)*((-4 + 4 + 2)*(-1 + 2 - 3) - 3 + 5 + 0) to m*p + u and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6567886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159756 by 2.\nAnswer: 79878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -261975, -261995, -262017, -262041, -262067, -262095?\n\"Answer: -j**2 - 17*j - 261957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 3*y)*(-1 + 4 + 1) + (-4 - 3*y + 7 - 2)*(1 + 4 - 4).\nAnswer: -7*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 1417 = 5133. Let i = p - -438. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lremxql. Give prob of sequence er.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11.6 (b) -3\/4 (c) -7 (d) 2\/13 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(3) + sqrt(27)))**2*1 - (-1 + sqrt(450) + 4)**2.\nAnswer: -457 - 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 9*y - 2. Suppose -2*s - 22 = -14. Let q(u) = u**2 + 3*u - 9. Let x be q(s). Calculate o(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8073 and 40076166?\nAnswer: 360685494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -117 + 29*z**2 + 13*z**4 - 8*z**4 + 12*z**3 - 13*z - 13*z**3 - 4*z**4 + 119 as t*z**4 + b*z + g*z**3 + o + j*z**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 333, 337, 343, 351?\n\"Answer: u**2 + u + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/21 - 2\/21. Let f = -3.03 - -0.03. Let n = 1 + f. Which is the closest to t? (a) -1\/4 (b) n (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -23 - 21*f - 6 + 45. Let x(p) = -p**3 + 5*p**2 + p + 5. Let z be x(7). Let i be (-2)\/8 - z\/(-8). Let q(v) = -4*v + 3. What is i*q(s) + 2*r(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v - 374. Determine o(-63).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.173 plus -820596629670?\nAnswer: -820596629670.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -34*o + 5. Let a(x) = 109*x - 15. Let k(f) = 4*a(f) + 13*q(f). Give k(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -5 * -179.6373\nAnswer: 898.1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 57 = 11*b, -8*b + 10*b = -2*q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18*(-3 - 1)\/(-2 - 4). What is the greatest common divisor of s and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-2))\/3 - (3 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(0*u**2 - u**2 + 0*u**2) + 16838 - 16838 + 38628*u**2.\nAnswer: 38626*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328781 divided by 20.\nAnswer: -328781\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -1635.6?\nAnswer: -4906.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 1\/2*y**2 + 1\/6*y**3 - 3\/2*y + 24. Find h, given that s(h) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:56 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 - 4*u + 137 + 4 + 0 + 3.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186200.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 divided by 446?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-110) - 292\/8030.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331142445 (base 6) in base 15?\nAnswer: 7c4a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vddfidqdsdfdvvvdddvd. Give prob of picking 1 f and 1 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3802106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 9 + 6. Calculate the highest common divisor of 60 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/3, -208, -0.5, -10 in decreasing order.\nAnswer: 0.3, -1\/3, -0.5, -10, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 - 62*y + 196. Give w(11).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 187018?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1242 or -1240?\nAnswer: -1242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11043, 11025, 11007, 10989, 10971, 10953?\nAnswer: 10935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 17929*j. Let v(o) = -30*o. Give v(t(y)).\nAnswer: -537870*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 4*y - 1. Let w be a(2). Suppose 0 = -w*j + 6, 28 - 11 = 3*v + j. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.4 + -44. Which is the closest to -2? (a) 0.1 (b) k (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -14*o**2 - 7*o + 2. Let u(p) = 5*p**2 + 2*p - 1. Let x(m) = 6*r(m) + 17*u(m). Let h = -408\/13 - -2232\/91. Find the common denominator of h and x(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiiiiciwommwwwi. What is prob of sequence wwoi?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 18) + (2 - -1) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/490 and -47\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/60 - 11*r**4\/24 - 3*r**3 + r**2. Let c be 4*((-39)\/(-12) + 0). What are the prime factors of j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*c - 4, -3*c - 12 + 2 = -4*a. Let z be (14\/420*0)\/7. Suppose 0 = -2*l + 4*l - 6. Solve -b - l*b + a = z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 7.8. Let v = -0.01958 - -3.01958. Which is the closest to i? (a) 0 (b) -1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a**2 + 9*a - 5. Let v(q) = -5*q**2 - 4*q + 0*q + 153 - 151. Give -2*u(i) - 5*v(i).\nAnswer: 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d**3*p**3 - 2*d**3*p**2 - 40676*d**3*p - d**2*p**2 - 34*d**2 + 15*d*p**3 - p**3 + 189*p wrt d.\nAnswer: 60*p**3 - 12*p**2 - 244056*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182 * -1365.\nAnswer: 248430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3730*k**3*t**3 + 22*k**3 - 51*k**2*t - 272*k**2 - 20*k*t**2 - 2*t**4 wrt t?\nAnswer: -22380*k**3*t - 40*k - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/6*15\/10. Let i = -78 - -26. Let f = i - -57. Which is the nearest to 0.1? (a) r (b) 2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + 1 + 475 + -479 - -12 - -9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*v = 87*v - 18. List the prime factors of v\/(2\/((-12082)\/21)).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 1131258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llxlllxllx. What is prob of sequence llxl?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3*u - 18 - 5*u + 11*u**4 + 25 - 9 - u**2 as s*u**2 + n*u + c + p*u**3 + y*u**4 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + g - 107 + 2 + 8.\nAnswer: g - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 3. Let b = -2 + 0. What is w(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -563115 (base 7) in base 16?\nAnswer: -184cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -28 - 59. Let m(u) = 6*u + 10. Calculate the remainder when t is divided by m(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.298 and 11.\nAnswer: -3.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 25. Let j = 6016\/17 - 354. Which is the closest to w? (a) -3 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 58\/(-5) - 26\/65. Let g = 21 + t. Suppose -4*v + v + g = 0. Solve -y + 2 = -v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*a**2*h**2*y**2 - 2*a**2*h*y**3 - 3*a**2*h*y - 2*a**2 + 2*h**2*y**3 - 4*h*y wrt h.\nAnswer: 142*a**2*y**2 + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 109\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 3. Let j be b(4). Let h be (-16348)\/(-915) - 4\/(-30). Let m be 3\/j + (-6)\/h + 3. What is the nearest to m in 2\/17, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1485 and -36258.\nAnswer: -5384.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 3)*(-3 - 1 + 10)*(2*a**2 + a**2 - 2*a**2)*(0*a - 2*a + a).\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/4 + w**2\/4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -0.1, 0.93, -0.311, 27, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -12*a - 46. What is the tens digit of u(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828108237 to the nearest integer?\nAnswer: 28777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 3, -2, 5, -3, 15 in descending order.\nAnswer: 15, 5, 3, -2, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Let v be (-4 + 10)\/((-3)\/(-2)). Let f = 19454 - 19454.2. Which is the closest to f? (a) 2 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 86940\/(-240) - (-6)\/(-8). Let x = 236 - j. List the prime factors of x.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/13 in 3, 0.5, -124, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 11 + 2 - (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 12*x = 3*c - 43, 5*x = c - 26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12224427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916308 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-6\/7)\/j)*j**(-2\/7)*(j*j\/(j*j**(-1)\/j*j)*j)**(-49) assuming j is positive.\nAnswer: j**(-1011\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 6570*g**2 + 2253*g**2 - 8656*g**2 - 8.\nAnswer: -12973*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/32 and 73\/115244.\nAnswer: 921952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/9 + (-4)\/6. Let k = -416 + 766. Let w be 4\/(-22) + k\/110. Calculate the greatest common factor of n and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 3:53 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:22 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-108 - -106)*(2\/(-4))\/(-1). Let x(z) = -3*z - 3. Let v = -8 - -6. Let f be x(v). Sort f, -2, h.\nAnswer: -2, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + -0.3. Let l = -13786.1 - -14813. Let a = l + -1026. What is the nearest to s in -4, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3407*j**2 + 29*j + 356. Let q be g(-16). Round q to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387 or -81066\/209?\nAnswer: -81066\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 5767\nAnswer: 576.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411639 + 411639 + 21*g**3.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2\/11 + 25962*t\/11 + 441932\/11 = 0.\nAnswer: -17, 12998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 17*p**2 - 17*p - 15. Let c be g(18). Find the second derivative of -138*y + 245*y - 85*y**4 - 123*y - c - 28*y**4 wrt y.\nAnswer: -1356*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:44 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3235 (base 10) to base 12.\nAnswer: 1a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -143 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361888698.\nAnswer: 2, 3, 3581, 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:59 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1019\/6 + -170. Which is greater: -11 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 889*r - 1077. Calculate x(0).\nAnswer: -1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2 + 8. Let s(r) = -2*r**2 + 3. Let p(a) = 2*a**2 - a + 2. Let l be p(2). Let f(y) = l*s(y) - 3*h(y). Let m(k) = k. Calculate f(m(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*-5*sqrt(3)*6.\nAnswer: -4 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2953.52 to zero dps.\nAnswer: -2954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -218 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 744690112 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sppssssrrrrprssrsr. Give prob of sequence rss.\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 933641.5 years?\nAnswer: 11203698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*a**2 - 29*a - 23*a**3 - 84*a**2 wrt a.\nAnswer: -138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z + 3. Let s(g) = -g. Suppose -32*a - 27*a - 16 = 102. Calculate a*s(b) - r(b).\nAnswer: -5*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l - 104. Let v be z(-9). Let y = -70 + 73. Solve y*c = v*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4290820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {i: 3, n: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1220, 9744, 32886, 77954, 152256, 263100?\nAnswer: 417794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/45 and -91\/101145.\nAnswer: 303435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 173227086 and 6.\nAnswer: 173227086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v - 32 = 58*v. Suppose p - 5*p + 4504 = v*y, -5*y = 3*p - 3372. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 + -147. Let q = p + -30. Is q + -1 - (-2)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 + l**2 - 1. Let z be f(-1). Let m be 4 + -2 + 36\/(-16). Which is the closest to m? (a) -1 (b) z (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 7, 1 in ascending order.\nAnswer: -1\/7, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y - 22. Let f be h(4). Solve 2*s - f*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14533.19 to the nearest one hundred.\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**3 + 10. Suppose 4*r = -0*r - 4. Determine y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -25*j**4\/24 + j**3\/3 - 17*j**2. What are the prime factors of p(-4)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40194 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -u - 60, k + 60 = 5*k - 5*u. What are the prime factors of 12\/6*k\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113628 + -336716\/3. Let q = 1376 - b. Let i = 41\/3 + q. Which is smaller: 3\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 48112. Suppose -9*c = 6481 - s. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 - 18*d**2 + 46*d - 1. Let m(z) = -7*z**3 + 19*z**2 - 45*z. Let r(x) = 6*k(x) + 5*m(x). What are the prime factors of r(11)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9 + 4*y**2)*(-4*y**2 + y**2 + 5*y**2) to q + d*y**3 + j*y**4 + f*y**2 + a*y and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 808.\nAnswer: 808.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -91, -188, -285, -382, -479, -576?\n\"Answer: -97*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*t + 124, 3*h - 2*t = -30 - 60. Which is the smallest value? (a) h (b) -2 (c) -2\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 10*i**2 + 10*i - 34. Calculate the remainder when 68 is divided by s(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -412. Round m to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:20 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) -2\/17 (b) -0.3 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/9 + 68*q**4\/9 + 24*q**3 - 80*q**2 = 0. What is q?\nAnswer: -30, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 12*f**2 + 13*f + 10. Let u = -1 + 19. Calculate the smallest common multiple of u and b(-13).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19170 is divided by 18997.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6164 = 2*l, l + 4*p = p + 3082. Suppose l = 31*t - 6342. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5)**(3\/2)\/(u**(-13)*u**(12\/5)\/u) assuming u is positive.\nAnswer: u**(191\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 154078 + -109394. List the prime factors of r.\nAnswer: 2, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**3 - 3*b**2 - 3*b - 21. Let t(f) = -3*f**3 - 2*f**2 - 2*f - 21. Determine 2*c(u) - 3*t(u).\nAnswer: 3*u**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4711 divided by 4711.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 bigger than 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/1638)\/((-62305)\/(-46179))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -288*c**2. Let h(m) = 3*m. Determine h(l(d)).\nAnswer: -864*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 - -2)) + -2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 8*l**2 + 4*l - 2. Let h be b(7). What is the greatest common divisor of 50 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 141*k - 521. Let z be p(4). Let t be 9 + -1 + (1 - 1). Let c(h) = -z*h + t*h + 9*h. Let m(u) = -u**2. Determine m(c(j)).\nAnswer: -676*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 + 2*x**3 + 23*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123172 is divided by 8194.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101832 in -22\/9, -2\/37, 1\/2, -3\/2?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (567 - 950 - 1122)*(2 - 2 - d).\nAnswer: 1505*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 1\/63*u**7 + 0*u**5 + 0*u**3 + 9*u - u**2 - 1\/72*u**6 + 0*u**4 + 0 - 5\/1008*u**8. Let i(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwuieemmumelmi. What is prob of sequence lwe?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.83512 - -0.81. Round i to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 2 + 3 + f. Let w be h(-8). Let t = w + 8. Is -3 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 584, 877, 1170, 1463?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -1050.\nAnswer: -1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2982 and -73?\nAnswer: -21.7686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1136*f*j*m**3 - 399*f*j + 5*f*m**2 - 3*f*m - 4*j*m**3 + 2*j*m wrt m?\nAnswer: 6816*f*j*m + 10*f - 24*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 113*p - 37. Let f be w(4). Let i = f + -349. What is the remainder when i is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1025942 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15697390*l**3 + 13715259*l.\nAnswer: 94184340*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 11*j. Let n be t(5). Suppose 4*r = 2*d + n, 5*r + d - 6*d = 35. Calculate the highest common divisor of 32 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Let t(c) = c**3 + 15*c**2 - 18*c - 36. Let r be t(-16). Sort 0, r, u in descending order.\nAnswer: u, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39.44634 - 39.37. Round c to three dps.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from owoowoooowoo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85328084 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 675433.2 litres?\nAnswer: 675433200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*c - 3. Suppose 2*j - 42 = -3*s, -2*j - 4*s + 42 = s. Calculate the remainder when c is divided by ((-35)\/j)\/((-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1264*m**2. Let k(q) = -26*q + 6. Let t(n) = -22*n + 5. Let f(p) = -5*k(p) + 6*t(p). Give f(l(g)).\nAnswer: -2528*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 1415064.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 11) to base 14\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/2*(1065\/30)\/71?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 861540*z**2 + 897759 wrt z.\nAnswer: 1723080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35615, -35638, -35689, -35780, -35923, -36130?\nAnswer: -36413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/6)\/(4420\/10608)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 45 = -2*v - 23, 0 = p - v - 68. What is the lowest common multiple of p and 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14 + 0*p**2 + 0*p**2 + p**2 + p. Calculate the remainder when 37 is divided by w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 91.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**(-1)*t)\/t)**(28\/9)\/(((t*t*t**(-1\/5))\/t*t*t)\/t*t**(-2)) assuming t is positive.\nAnswer: t**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 135\/25 + (-8)\/20 + 5956. Suppose u + b = 5957, -u - 4*b + 2*b + c = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) -2 (c) -1\/2 (d) -13\/5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2377*l. Let x(g) = -g**2. Determine h(x(o)).\nAnswer: 2377*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112990 divided by -738.\nAnswer: -56495\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10419941399 and 0.05.\nAnswer: -10419941398.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/16)*c*c**7*c*(c**2)**(-8\/15) assuming c is positive.\nAnswer: c**(1859\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 5:16 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -4?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10743995557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458276 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 8*f + 3. Let h be r(8). Let p(s) be the second derivative of s + 0 - 1\/50*s**5 - 1\/15*s**h + 0*s**2 + 1\/15*s**4. Find q such that p(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355211191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5323*u**3 - 16 + 5322*u**3 - 2*u - 10*u**2 + 7*u + 34 - 4*u**2. Calculate f(-14).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1. Let j(s) be the first derivative of -3*s**2\/2 + 5*s + 10. Let g(z) = j(z) + 6*n(z). Find the first derivative of g(x) wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 13882487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.313697+-19170\nAnswer: -19170.313697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + ((-7)\/(-7))\/((-116)\/(-261) - 181\/549)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0 (b) -0.1 (c) 150 (d) -1\/9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40407 - -40403. Let j = 0.3 - 0.6. What is the smallest value in j, u, -0.18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 12*x - 7*x. Let s(c) = 26*c**2. Determine o(s(d)).\nAnswer: 104*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-8))\/((3\/24)\/(33*(-26)\/(-8580)))\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 32 - 2. Solve 0 = -4*l + 6 + m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 185313366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8)*2*(0 + -180). Let z be (-324)\/r + (14\/10 - 2). Suppose -3*c + 3 = -l, -3*l + 2*c + 3*c = -z. Which is greater: 8 or l?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200542497 to the nearest integer?\nAnswer: 14161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 118 = -115. Let v be (-24)\/9 + 0 - (-3 + r). Which is the smallest value? (a) 17 (b) v (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*l - d - 0, 0 = l - 4*d - 15. Which is bigger: l or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 + 15*z - 19. Determine s(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -617886 + 6.7.\nAnswer: -617879.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - c - 7 = 4, 2*j + 3*c + 1 = 0. Suppose j*u - 5*n - 75 - 79 = 0, -4*n = 3*u - 100. Let h = u + -22. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -15*i. Let j be y(-5). Suppose 3*v = 2*u - j, -2*v = 4*u - 0*v - 142. Suppose 5*q - u = 14. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495755 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -144686, -144690, -144696, -144704, -144714, -144726?\n\"Answer: -k**2 - k - 144684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 39) + (3 - 8 - (-97 - 23))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -3*k - 5 + 5\/2*k**2 + 1\/3*k**3. Let v(a) be the first derivative of c(a). Determine v(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.796 less than 10926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 249.63, -2\/7, 0.4, -4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1121*s*t*w**3 - s*w**2 + 187*s + t*w - 2*w**3 wrt t?\nAnswer: -1121*s*w**3 + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = -0*i. Let w be i\/(-12) - (-1)\/4. Suppose -w + 3\/4*u - 1\/4*u**2 = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 4*a + 0*a - 3*a + 15*a. Let j(o) = -29*o**2 + 14*o**2 + 18*o**2. What is m(j(t))?\nAnswer: 57*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*d + 4*h + 13407, 0 = 5*d + 4*h - 22323. Let m = 9119 - d. Suppose -m - 6320 = -4*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 3971768*y**2 - 15887024*y - 15887008.\nAnswer: -4*(y + 2)**2*(y + 992938)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 573078229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-9))\/(98\/24 + -4). Let z be (m + 0\/(-4 - -5))*-1. Solve f + 3 = z*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.08000231 - 2.08. Round f to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/5)\/25 - 27\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10512 and 48725748?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -48 (b) -4 (c) 3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19535 + -17704. Calculate the remainder when x is divided by 166.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65 and 0.5.\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -1\/7, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2. Let i = -0.79310036 - 0.2068996. Let g = i - k. What is g rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 1. Let p = 0 - -2. Suppose p*z - 16 = -4. Let x(b) = b - 7. Let y be x(z). Let o(m) = -2*m**3 - 6*m + 6. Calculate y*o(j) - 6*s(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136981 + 11609*j - 136981 to s + w*j and give w.\nAnswer: 11609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/25491024 and -29\/314704?\nAnswer: 25491024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -28?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - 14*q - 38*q + 2 - 3*q**2 + (q + 0*q + q)*(-2*q + 5*q - q) + 3 - 3 + 3*q**2.\nAnswer: 5*q**2 - 52*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1190*f**2 - 6331*f + 1905.\nAnswer: (f - 5)*(1190*f - 381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-5 - -10) - -3 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/390 - (2144\/780 + -2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14646 by -2.\nAnswer: -7323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 6*s**2 - 7*s. Let z be n(-7). Suppose -20 = -2*p - z*p. Calculate the remainder when 19 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from gpllgcpcxgclxlpx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.8 + 34.66. Let a = 5.13995472 + c. What is a rounded to six decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24085\/3, 3, -3\/4 in increasing order.\nAnswer: -24085\/3, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = 2*o. Let z = 7 - o. What is the remainder when z is divided by (-36)\/24 - (-39)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r + 92604*r**2 - 166*r**3 - 40*r**3 - 92709*r**2 wrt r.\nAnswer: -1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193425 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080003223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + (-1 - 87) + (1 - -22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 39. Suppose 8 = 5*w - 2*n - p, 2*w - 4*n - 26 = 0. Is ((-122)\/w)\/(4\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y - 45. Suppose r + 287 = 5*n + 262, -r - 2*n + 17 = 0. What is d(r)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -2*l + 5*u, 5*u - 2*u = -l + 52. Let s = -39 + l. Is ((-12)\/5)\/((-10)\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16*q - 109. Is u(7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5563?\nAnswer: 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1510555 (base 6) to base 15\nAnswer: 1abd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16519*r**2*u*z**2 + r**2*u - 163*r**2 + 375*r*u*z**2 - 6*r + 20*u*z**2 - 40*u*z + 9*z - 2 wrt z?\nAnswer: 33038*r**2*u + 750*r*u + 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*(b**(-1\/10)*b)\/b*(b**(-6)\/b)\/b*b**(3\/5))\/(((b*b*b\/(b**(-7)\/b))\/(b**(-4\/3)\/b))\/(b**0)**(-15\/7)) assuming b is positive.\nAnswer: b**(-637\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 3. Suppose h = -3*i + 4*i. Calculate the lowest common multiple of i and (3\/(-2) + -1)*-2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2007 (b) -0.39 (c) 0.2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3\/236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -43*k**3\/3 - 5*k**2\/2 - 9*k - 4278. Let r(d) = 21*d**2 + 2*d + 4. What is 2*m(l) + 5*r(l)?\nAnswer: 19*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hho when three letters picked without replacement from hohooohhhhho.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285 - 125. Let m = q - 142. Calculate the lowest common multiple of m and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -29.8, -3\/68, 37?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/60 - 136*d**2. Let z(a) = -a**3 + 7*a**2 - 7*a + 4. Let j be z(6). Determine f(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -4.02736?\nAnswer: 68.46512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let m = 23 - 24. Let v = m - g. Are -2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19600 by -23.\nAnswer: 19600\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-744310)\/(-22) - 3\/11. Let k = p - 18443. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, d: 8}. What is prob of picking 1 b and 1 d?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121989 and 257187.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 1168 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or 1275452?\nAnswer: 1275452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5911 - -8770. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616 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: Evaluate (0 - -4) + -2 + -5 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70188 divided by 753?\nAnswer: 23396\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Let o be (-14)\/(-6) - (-4545)\/(-1485). Let x = 39 + -39. Which is the nearest to x? (a) 3\/7 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -414?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-108)\/(-106) - 1). Let u(g) = -g**3 + 43*g**2 + 40*g + 234. Let n be u(44). Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 1687*t**3 - 1702*t**3.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 6*f + 470. Let q be k(14). Put -3, q, 334 in descending order.\nAnswer: 334, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 5 + sqrt(27) + sqrt(3) - sqrt(18)\/sqrt(96)) + 2*(sqrt(3) + sqrt(24)\/sqrt(2)) - (-1*sqrt(1152))\/(-2*sqrt(384)).\nAnswer: 5 + 41*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, q: 2, t: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 700\/35*507\/(-195)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2. Let b(k) = 64*k - 3*k**2 + 8*k**2 - 64*k. Let h = 11 + -4. What is h*y(a) + 4*b(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + n - 3 - 3*n + 2*n + 0*n + n + 2*n - n + (-2*n - 2*n + n)*(3 - 3 - 1).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-474)\/553)\/(15\/(-20) - 3\/12). Let z = 0 + 0.03. Let a = 3.97 + z. What is the closest to -1\/3 in 2\/7, a, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.62 - 1.18. Let n = k + 3.8. Which is the closest to -2\/3? (a) 8 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 51296\nAnswer: -153888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 2. Let v be (-3)\/(9\/(-6)) + -2. Let p be y(v). Suppose 0*n = p*n - 30. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56448 and 6664?\nAnswer: 959616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 27. Determine y(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 51556\/51 and 1010 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k + 40. Let q be u(9). Let f(b) = 3*b + 15. Let c be f(q). Suppose c*x = 5*x - 720. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2771671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 136, 236, 372, 556, 800?\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170247 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + v + 2*v = 2*v + 18, -5*m - 69088 + 69112 = -3*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19244168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 1, i: 2, p: 2}. What is prob of sequence ko?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 26, 35, 42, 47, 50, 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 8*g + 11. Let s(c) = c**3 - c**2 - c + 2. Let d be s(-2). Calculate the remainder when n(d) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22b2cb + 3d?\nAnswer: 22b32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -12) + (-7 - 5 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/6 and (-2)\/32*(-464)\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*a + 69. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6785*m + 144 = -6767*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v + 1437*v**3 - 1440*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299720 or 16?\nAnswer: 299720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1419 and -0.06.\nAnswer: -85.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395, -404, -419, -440, -467, -500?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3835524 and 3136.\nAnswer: 61368384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*v - 2*v - 8 + 39*v - 98*v**2.\nAnswer: -2*(7*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1555 >= -803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4611165130 to the nearest 100000.\nAnswer: -4611200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*x + 135*x = -166*x - 127*x + 1798 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -1296?\nAnswer: 12a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 23. Let g be q(-3). Suppose -56 = 4*j - 2*a, -3*a - g = 24*j - 23*j. Which is smaller: -15 or j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 683693 - 332788. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5172*m - 212071. Give o(41).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htsssxssxsshtsht. Give prob of sequence xsx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 219764 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:06 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - b**2 + 2*b. Suppose 0 = -3*f - f + 8. Give k(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 11*a**2 + 2*a - 22. Let d be m(11). Suppose d = 4*k + 4*k - 408. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 - 1776*o + 262848 = 0.\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + -1?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 - 5*i - 6. Suppose -3*v - 6*l + 4*l + 5 = 0, 4*l + 45 = 5*v. Suppose -v*j + 5 = -w, 4*w - 4*j = -1 - 19. What is f(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - h + 3 - 10, -5*l - 5*h - 15 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3333311103023 + 10?\nAnswer: 3333311103033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 131, 201?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 42.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/34808 and -85\/16264038.\nAnswer: 65056152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026625 is divided by 5092.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212823895*n**2 + 4500796*n + 7 wrt n?\nAnswer: -425647790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7710926 plus -32?\nAnswer: -29.2289074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*p = -62*p - 16083. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 1. Let u be q(7). Let i be u\/(-15)*7971\/(-2). Suppose 5*b - 3*p = i, -3*b - 4*p + 7971 = -0*p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2.5. Let c = w + 0.7. Let z = 1.06 + c. Round z to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 - 9000*g - 4050000 = 0.\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:53 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-25))\/((-2)\/(-20)). Let h = -1 - m. Let q be (h\/2)\/(9\/30). Solve 10*d - q = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**6\/11 + 1091*y**5\/55 + 65699*y**4\/44 + 428037*y**3\/11 - 1566541*y**2\/22 + 453962*y\/11 + 9235. What is g in u(g) = 0?\nAnswer: -61, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447.38613 + -1385.91322. Let g = 1816.3 + q. Let j = g + 17. What is j rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 266 or 265?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -187.032. Let t = q - -4.968. What is the nearest to 1\/3 in 1\/3, 2\/5, 0.07, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 65 = -5*a, -2*a + 4*h = -6*a + 52 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.91 - 0.09. Let t be (-3)\/((-2 - -1)\/(-4)). What is the second biggest value in r, -2\/11, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10224033 (base 5) to base 6.\nAnswer: -1502451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 457871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 6 (c) -0.52 (d) 0.05 (e) 2\/9 (f) 0.001\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3552, -7124, -10686, -14232, -17756, -21252, -24714?\n\"Answer: l**3 - l**2 - 3576*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 15*r**3 + r**2 - 589*r + 4. Let y be l(0). Factor -1\/11*m**y + 7\/11*m**2 + 0 - 4\/11*m - 2\/11*m**3.\nAnswer: -m*(m - 1)**2*(m + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/(336\/(-912)) + 3\/(-21)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 107. Let a(t) = -2*t + 109. Calculate -4*a(k) - 5*z(k).\nAnswer: -2*k + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*f**4 - 224*f.\nAnswer: 3168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 731910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 2*a = 11*n, -3*a = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*u + 106*u - 17216 - 7712 = 0 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32121594 to the nearest integer?\nAnswer: 5668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-135)*3 - -22*22\/(-605)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228*x = -80*x - 30078 + 230 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n**2 - 18*n - 34. Let w be z(-3). Let m be (w\/46)\/((-2)\/8). Solve 0*p - 10 = 3*p + 5*a, -2*a - m = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.014 times 120.8\nAnswer: -1.6912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 682958 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3330 = 3*k - 1281. What is the highest common factor of k and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 4*o, -o - f = 3*f - 19. What is the closest to -3\/5 in -0.4, 4\/3, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 156224 in 5, -0.5, 3, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.14. Let d = -22.86 + n. Let m = d + 22.99999955. Round m to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 3\/11, 0.19, 0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 1, z: 1, l: 4, a: 2}. What is prob of picking 2 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**6\/540 - r**5\/90 + r**4\/36 - r**3\/27 - r**2 + r. Let m(t) be the first derivative of f(t). Factor m(p).\nAnswer: 2*(p - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + o + 1. Let j be m(-1). Let s be (-1)\/(-3) + 0 - 62\/6. What is the smallest value in j, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11951238.1 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/(3564\/(-2700)*(-10)\/16)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 220, 221, 222?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**11\/f)\/f)**(2\/19) assuming f is positive.\nAnswer: f**(18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 26 = -2*y. Let b = y + 10. Let m(p) = -p**3 - 3*p**2 - p + 2. Calculate m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140606028 a multiple of 2206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 6 + 1)*(9 - 9 - 3*f**2) in the form s + k*f**2 + q*f and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)\/(sqrt(48)\/sqrt(4)))\/(sqrt(192)\/sqrt(4)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 6*h**2 + h - 7. Let r be k(6). Let b be (-2 - -12 - -1) + r. What is the greatest common factor of b and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3687 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129 - -140) + (38 - (6 + -8 + 6)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - j**2)*(3*j + 3*j + 0*j) + 442*j**3 - 3997*j + 3997*j.\nAnswer: 436*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -114*o**2 - 571*o + 2. Determine j(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from bbbppbbbb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50283861 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 12*v + 6. Let n = -17 + 29. Let g be w(n). Let k(y) = y**2 - 2*y - 19. Let c be k(g). Solve 0*r - 5 = -c*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d - 2*d)*(2*d - 2*d**2 - 2*d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 6. Let h be r(0). Let f be (75\/h)\/(3\/(-6)). Suppose -2*b = 3*b - f. Let u(d) = d**2 - 6*d - 1. Determine u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-6)*(-12)\/8. Let x(g) = g**3 + 6*g**2 - 33*g - 57. Let f be x(-9). Sort 5, u, f, -2.\nAnswer: u, f, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168371407*a + 2 - 2 - 168371409*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 4*l**2 + 2*l**2)*(-3*l + 0*l - l) + 22*l**3 + 582 - 21*l**3 - 793.\nAnswer: -3*l**3 - 211","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 0*q**4 - 7*q + 8\/3*q**3 + 0*q**2 + 0 - 7\/10*q**5. What is the second derivative of t(u) wrt u?\nAnswer: -84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 60 = -4*m + 45, -5*i - 25 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53070790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.58 - 40.63. Is -56 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160268 is divided by 189?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 2*h. Let w be p(-3). Let t(x) be the second derivative of 1\/6*x**w - 1\/20*x**5 - 1\/2*x**2 + 1\/12*x**4 + 0 - 2*x. Solve t(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-9))\/(104\/(-182690664)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -4*l - 2*y, -152 = -4*l - 13*y + 16*y. Find the first derivative of -26 + 5*h**2 + 44 - h + l wrt h.\nAnswer: 10*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 - 23*i + 3. Let y(a) = -5*a**2 - 22*a + 2. Calculate -2*v(q) + 3*y(q).\nAnswer: -q**2 - 20*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60114604 to the nearest integer?\nAnswer: 7753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66323*s**3 + 21*s**2 + 11*s + 591149214.\nAnswer: 198969*s**2 + 42*s + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72861 - -72864. Solve 0*q + 0*q**4 + 0 + 1\/2*q**c + 0*q**2 - 1\/2*q**5 = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -631880 - 26?\nAnswer: -6318a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bng when three letters picked without replacement from bngnbgbngbnnbg?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 342797327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 1:34 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 61*q**2 - 86 + 86.\nAnswer: 2*q**3 - 61*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/22 - (17222\/(-22) - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a - 15075 = 27261. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -b - 14, -u - 4*u = b - 16. Suppose -5*a = -0*s + u*s - 12, -4 = -s - 5*a. Suppose 143 = -s*l + 515. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r)\/(r\/(r*(r\/(r*r*(r*(r\/(r*r*r**(3\/5))*r)\/r)\/r))\/r*r)) assuming r is positive.\nAnswer: r**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -21)*(-2)\/(-5). Let h = -2 - -24. Calculate the lowest common multiple of h and 180\/40 - u\/(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69 or 51?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2124 and 163\/120?\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -16. Suppose 314*d = 311*d + 72. Calculate the remainder when d is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, 48, 38, 14, -30, -100, -202?\n\"Answer: -g**3 + 2*g**2 - g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078283103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5261?\nAnswer: 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 173?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7183630 and 46346?\nAnswer: 7183630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/56*-6)\/((-93)\/217)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.623 - -0.377. Which is smaller: m or 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let q = 0 - m. Is -1 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 3*i**3 + 5*i**3 + 2*i**3 + i**2. Let s be v(2). Suppose 2*c + d = s, -2*c + 16 = 3*d + 2*d. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {o: 3, z: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18357, -18377, -18397, -18417, -18437?\nAnswer: -18457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.835 + -0.5\nAnswer: 6.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*z + 5 = 0, -3*z = -5*x - 2*z - 20. Let l = -15 + 11. Let c be (-11)\/l + (-6)\/8. Put c, -4, x in descending order.\nAnswer: c, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1568*a**5 + 10489346*a**4 - 140495206*a**3 - 92048164*a**2 - 17213416*a - 750736 = 0.\nAnswer: -6703, -2\/7, -1\/16, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 1, v: 2, y: 4, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i. Let v be s(1). Let h be 612\/v + 2 - -2. Let p = h + 40. Which is the biggest value? (a) 2 (b) -3\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 3. Let w(h) = 1. Let o(c) = c**2 + 10*c + 10. Let m be o(-9). Let a(u) = m*k(u) - 3*w(u). Let y(s) = s**2. What is y(a(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156621933.\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 46386634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 386978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15 + 4*h + 2*h - 5*h. Let x be u(-10). Sort 3, -4, x.\nAnswer: -4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-20) + (-7876)\/28640.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sidqqmq. Give prob of picking 1 i, 1 d, and 2 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239354576*o**3 + 388656036*o wrt o.\nAnswer: -1436127456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-18))\/((-3)\/12). Let k = 1277.417 + -1273. Let u = k - 0.417. Which is the nearest to 2? (a) u (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*i**5 + 26226*i**4 + i**3 + i**2 + 1073*i + 305 wrt i.\nAnswer: -3780*i**2 + 629424*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1359 and 45.\nAnswer: -61155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 26. Let j = 8 + q. Let p be 8\/(-5) - (-7 + 3 + j). Which is the third biggest value? (a) 0.2 (b) -10 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 divided by -880?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1521*h**3 + 4 - 1519*h**3 - h + 0 + 4 - h**2 as i*h**3 + s*h**2 + r*h + a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*w - 16, -3 = -4*w + 3*w. Let i be (-410)\/(-25) + 6\/15*a. Suppose 0 = 3*d - d - 5*m + 12, 4*m = i. Solve 13 = t - 0*j + 4*j, -t - 3 = -d*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**5\/20 + t**3\/2 - 142*t**2. Let b(m) = m**2. What is r(b(o))?\nAnswer: -3*o**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3580762 months in millennia?\nAnswer: 0.00019650635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Let z be ((-8)\/6)\/((-4)\/12). Suppose 2*r + 4 = z*c - 8, 2*c - 3*r = 2. What is w(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*i - 157, 2*i - i - 41 = -4*y. Let f be 11\/i*6\/16. Let r = 0.88 + -0.48. Which is the third biggest value? (a) r (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2877\/9292?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -41. Which is the biggest value? (a) 0.16 (b) 0 (c) 0.3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 12*f**2 - 367*f - 3246. Give s(-9).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -272\/5 or 398686?\nAnswer: 398686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**2 + 21449405*a - 42898790 = 0.\nAnswer: 2, 4289879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 806553467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 10*z - 4. Let u be m(6). Suppose u = t - 7. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 + 8*z + 3. Let p be y(6). Let d(j) = -5*j**2 - p*j**2 + 3*j**2. Let n(a) = -a**2. What is n(d(k))?\nAnswer: -289*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 2. Let j be r(-4). Let a(i) = 2*i**2 + i + 1. Let n(f) = f**3 - 13*f**2 + 6*f + 1. Let w(m) = -2*a(m) - n(m). Is 19 a factor of w(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1 + i - 12*i - 30*i + 9*i. Let o(k) = -k. Calculate o(s(c)).\nAnswer: 32*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7789*t + 7784*t = -z, 2*t = -4*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -36. Let w(p) = -p**3 - 5*p**2 - 6*p - 7. Let z = 16 + 6. Calculate the remainder when w(q) is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/4 + f**2\/2 - 30*f - 337. Give p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40 - -34 - 3)*3086\/(-2). Round n to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1\/1)\/(5\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 248.8849km?\nAnswer: 24888490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2717912 nanograms?\nAnswer: 0.0000000000000002717912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -23.00116. Round f to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2513379?\nAnswer: 3, 11, 76163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-7))\/(-2))\/((22 - 131) + 111)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u + 3 = 0. Let v = 3 - 0. Suppose -v*b = 2*b - 20. Which is bigger: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-10)*8 + 256 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 101, -0.02, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11665*q + 3627815. Calculate s(-311).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*((-2*y + 0 + 0)*(-2*y**3 - 3*y - 2*y + 4*y) + y**4 - 2*y**4 + 0*y**4).\nAnswer: -3*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*x + 4*o, x + 4*o + 14 = -2*x. Factor 10*m - m**2 + 15 + 0*m**2 - 4*m**x.\nAnswer: -5*(m - 3)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znnu when four letters picked without replacement from {u: 6, n: 2, e: 1, z: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 1484 = 0. Suppose t + 2*t - 5*f - 6 = 0, -3*f = -t + 2. Suppose -y = 5*v + 2*y - h, t*v - 164 = 4*y. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = 8*v - 380. Suppose -9*h + 8*h + 4*m = 4, 5*m = 5*h - v. Which is the fourth smallest value? (a) 39 (b) -0.4 (c) h (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, t: 8, p: 3, k: 1, d: 2}. What is prob of sequence tdkm?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -270, -220, -190, -180, -190, -220?\n\"Answer: -10*x**2 + 80*x - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 702.21 - 699. Let t = 183 - 183.79. Let g = t - p. What is the second biggest value in -3, -2, 0.2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*c - 2*l, c - 24 = -2*c + 3*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18265.\nAnswer: 5, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1878355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 - 6*d + 20. Let f be m(0). Is (-1716)\/(-8) + 50\/f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:44 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = f + 176, 5*q + 2*f + f - 192 = 0. Suppose 7*s - 4*g = 3*s + q, -4*s + 3*g = -31. Let z be 6\/(-10) - 1\/(-1). Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3 + 349*p**2\/3 + 482*p - 1120\/3 = 0.\nAnswer: -112, -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010 + -1000011?\nAnswer: -11010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m - 3 + 3. Suppose 0 = -2*a - a + 3*g - 18, -g - 2 = 3*a. Determine y(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4581199055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 10*l**2 - 75*l + 180.\nAnswer: 5*(l - 3)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 2642*n**2\/5 - 871198*n\/5 + 873842\/5.\nAnswer: -2*(n - 1)*(n + 661)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575 divided by 715?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-7 + 7)) + (4 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l**2 - l + 1. Is i(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527928898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 + (-2)\/6. Let c = 5 + -5. Suppose -v - 13 = -2*l, -4*l + c*l + 14 = 2*v. Sort l, 2, k in increasing order.\nAnswer: k, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3307*a + 98 = -93*x + 3306*a, 0 = -5*x - 5*a - 30 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161876341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a millennium?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -80, -79, -78, -77, -76?\n\"Answer: h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.7, -0.4, 9.\nAnswer: -3, -0.7, -0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15991 - 15989. Which is the closest to -0.1? (a) 0.3 (b) 1\/1173 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 280 - 395. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -107403 and -30.32469.\nAnswer: -107433.32469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/21)\/((-3 + 2)*96\/672)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:21 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 0*x + 2*x**4 - 4*x**4 + 3*x**4 - 7 + 2*x**3 as t*x**2 + r*x + q*x**3 + c*x**4 + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239.041 + -0.159. Let q = t + 467.6. Let n = q - 254. Round n to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 n when four letters picked without replacement from {a: 3, n: 11}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8443149 = -124*f - 8454433 for f.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 20\/11 + (36 - (-13357)\/(-407)). Let y(i) be the first derivative of 6*i**2 + 0*i - 3\/20*i**5 - 27 - 21\/16*i**4 - 2*i**m. Factor y(g).\nAnswer: -3*g*(g - 1)*(g + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 38. Let a = -106889 + 106886. Sort a, m, -5 in ascending order.\nAnswer: m, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n**3 - 108*n**2 - 816*n + 3. Let a(f) = -43*f**3 - 541*f**2 - 4078*f + 14. Let t(w) = -3*a(w) + 14*h(w). Factor t(i).\nAnswer: 3*i*(i + 10)*(i + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*n + 8 = 100*n. Which is the fourth biggest value? (a) n (b) 157 (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -33767, -2, 4, 62 in descending order.\nAnswer: 62, 4, -1, -2, -33767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112000200 (base 3) to base 5.\nAnswer: 1424112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 6*c**2 - 6. Let z be f(3). Let p(m) = m**2 + 4*m - 14. Give p(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -4830603?\nAnswer: 4830602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25423 * -0.2.\nAnswer: 0.050846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 7*v**2\/2 - 114. Let t(b) = -7*b**2. Determine t(r(g)).\nAnswer: -343*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.8 and 2.\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, h: 1, b: 1, t: 1}. What is prob of sequence zt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + y - y = 0. Let k be ((-51)\/(-34))\/((-1)\/(-2)). Suppose -5*c = 2*j - 6, 0 = k*c + 5*j - 2*j. Solve y = -5*r - 5*t - 5, -c*t + 2 = -2*r - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(11\/4)*n)\/(n*n**15))\/(n\/(n*n\/((n*n*n**(4\/11))\/n))*n**30\/n*n))**(13\/4) assuming n is positive.\nAnswer: n**(-23803\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/360 + 7*q**5\/120 + 13*q**4\/24 + 14*q**2. Let j(d) be the second derivative of l(d). What is j(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 16*p**2 + 4. Let b be k(-16). Let s(o) = o + 1. Calculate s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/(5\/(-60)). Find the common denominator of (-5)\/25 + (-11)\/4 and 210\/g - (-4)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -31. Suppose u = -2*c - w, 3*w = -0*c + 3*c. Is (-1605)\/(-12) - (-3)\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*k**5 - 377575*k**4 - 224842765*k**3 - 213739665*k**2 + 32104990*k + 21379360 = 0. Calculate k.\nAnswer: -2843, -752, -1, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976130 is divided by 1305.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 4:40 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*x - x - 180, 20 = -4*b. Let n = -24 - -24. Suppose 0*i - 4*i + x = n. Solve -4 = -3*z + 5*f - 21, 5*z + 5*f = i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(102)\/sqrt(6)).\nAnswer: 2*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6249, 9439, 18101, 34971, 62785, 104279, 162189, 239251?\n\"Answer: 456*j**3 - 2*j + 5795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034267 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i*i**(1\/2)))*i\/(i**(-8\/3)\/i))\/(i*(i\/i**2)\/i)**(-50) assuming i is positive.\nAnswer: i**(-257\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -388 divided by -5?\nAnswer: 388\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184192348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/588*(-42)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, 2, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -25, -42, -75, -130, -213?\n\"Answer: -r**3 + r**2 - 3*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*j + 12310007 + 20351611 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j = -29*j + 134 - 106. Let z = 3 + -4. Which is the nearest to z? (a) j (b) -6\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9798 is divided by 377.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/256 and -47\/771776.\nAnswer: 3087104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = f + j - 2955, f - 2958 = 2*j. Suppose -24909 = -19*a - f. List the prime factors of a.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16931, 17710, 18489, 19268?\n\"Answer: 779*r + 16152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113432304 - -43?\nAnswer: -113432211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.204 + 369.396. Let f = d + -301. Let r = 5.6 - f. Is -0.1 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, a: 2, n: 3}. What is prob of picking 1 n and 2 a?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98809735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*v + 291 = -1003 + 48 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = -y + 16, 4*j = -y - 16. Let s(v) = -v**2 - 5*v + 1. Let m be s(j). List the prime factors of (7\/m)\/(4\/140).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 1541, 3445, 6099, 9497?\nAnswer: 13633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -205*j + 192 wrt j?\nAnswer: -205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -9*p + 4, 4*p = 4*y + 284. Let d be 2 - (y - (-12)\/4). Suppose 259 - d = 5*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 - 14) - (-2 + -6 + 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**19\/m*m**1)\/((m*m*m\/((m**(-31\/3)\/m)\/m)*m)\/m**(-2\/25)) assuming m is positive.\nAnswer: m**(194\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) - (17325\/14 - 3). Let a = o - -1825. Is a a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -27*(1 - (-8)\/(-12)). Let n = 11 + d. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 - -253\/3. Let k = 25 - 28. What is the third biggest value in i, -0.5, 0.8, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1. Suppose 4*h + 11 + 4 = -g, 0 = 3*h + 4*g - 5. Let p be (0 + h - 2) + 16\/8. Which is the smallest value? (a) p (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 44 = 40*h - 37*h + i, -2*i - 10 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-108)\/(-24))\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*q + 9*q. Which is the second biggest value? (a) q (b) -4\/3 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100203 (base 11) to base 12.\nAnswer: -79414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*j + 2*a, -2*j + 0*j + 5*a = 20. Let x be 2\/15*(j + 9). What is the closest to -0.1 in 3, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.531574493 to 3 dps.\nAnswer: -0.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*y + 1328 = 0, p - 2*p - 4*y + 327 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -49*m**5\/12 - 61*m**4\/6 - 13*m**2 - 9*m. What is the second derivative of u(i) wrt i?\nAnswer: -490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1454.5 - -1454.3. What is the fifth smallest value in -0.4, k, 29, 3, -7?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 1 + (sqrt(288) + -1)**2 + -3 + sqrt(14)\/(sqrt(700)*-1).\nAnswer: -161*sqrt(2)\/10 + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11186, -11123, -11024, -10889, -10718?\nAnswer: -10511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 54, 3, 4245?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -254035154 (base 6) in base 5?\nAnswer: -2231404244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = -l, 4*a = 6*l - 5*l + 4. Suppose a = -5*f - 0*y + 4*y + 210, -f = -2*y - 42. Calculate the least common multiple of 60 and f.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100.2 - -100. Which is the closest to i? (a) 6\/11 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391755.\nAnswer: 3, 5, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*q + 72*q - 165*q + 1087 = -4*t, t + 0 = -q + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-54)\/(-30))*13\/((-78)\/(-24)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (13 + -9 - 9 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/10)\/((2 + -3)\/10). Sort h, 14, -5\/2 in descending order.\nAnswer: 14, -5\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 8*r + 3*r - 25, -5*r = -g + 25. What is the nearest to g in 6, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*o**4 - 6*o**3 + 242*o**2 - 4*o - 472886?\nAnswer: -96*o**3 - 18*o**2 + 484*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 5 - 80\/(-24))*(-48)\/(-64)*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 2.34. Let m = y - 0.46. Let t = 7 - 4. Which is the second biggest value? (a) m (b) -1\/8 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27012647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5909 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:30 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*y - 7 = -2*y, 43 = 3*b + 5*y. Calculate the remainder when 135 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59047*u = -59278*u - 2541 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00075106345 to 7 dps.\nAnswer: 0.0007511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m**2 + m**2 - 2*m + 7*m - 11. What is the tens digit of q(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363.3 + 380. Let d = 109.7 - h. Let f = d - 92.99999951. Round f to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665138 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 3*c + 4*c)*(5 - 1 - 3) - 165 + 165 + 20*c to the form w*c + g and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 53, 0.2, 1\/164879?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 439*r**3*v**2 - r**3*v - 3*r**3 - 17*r**2*v wrt v?\nAnswer: 878*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 (base 12) in base 6?\nAnswer: 30530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 times 3.33?\nAnswer: -9.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f*o**3 - 84*f*o**2 - 2*f*o - 42*o**4 wrt o.\nAnswer: -18*f - 1008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*(-594)\/12. Let f = -34 + x. Which is the fourth biggest value? (a) -0.4 (b) f (c) 2\/7 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10337482.8 + -9\nAnswer: -10337491.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = a - 146, -3*b - b + 388 = 3*a. Suppose -2*n + 9 = -1. Let w = a - n. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 8*h**2 + 6236*h + 31215. Give c(-5).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6218 + 6218.4. What is the closest to d in -0.5, 0.3, -99?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g. Differentiate 22*u - 22*u + 2 + g*u**3 - u**3 with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -1129.\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/477 + 1117\/954. Let o = -37 + 33. What is the common denominator of c and ((-3)\/o)\/(-9*(-9)\/3942)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2952449705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4701627 is divided by 391802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -50*t + 2. Let i(f) = 2*f**2. Calculate i(c(l)).\nAnswer: 5000*l**2 - 400*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-125)*10\/(-20))\/((-44)\/(-30))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((10\/(-25))\/(-1))\/(1\/150). Let w be (-878)\/(-4) - y\/24. Suppose 0 = -u + 2*d + 401 + w, -3*d + 608 = u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008703 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -43*n**2 + 5*n + 7. Let u be f(-5). Suppose 1542 = -4*z + 5*z. Let d = u + z. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - t + 11448 = t, -19096 = -5*r + 2*t. What is the highest common factor of r and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - -40. Let j = r + -230\/3. Let u = -681\/7 - -97. Which is the nearest to j? (a) -1 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Let u(f) = 0 + 5 + 7325*f + 25305*f + 27369*f. Let b be u(w). What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/7)\/(l*l*l*l\/(((l\/(l\/(l**(-1\/2)*l)))\/l)\/l*l)*l))\/((l**(1\/5)\/l)\/l*l\/(l\/l**(2\/5))))\/(l**(-1)\/(l*l**(-4\/3)))**(-5\/7) assuming l is positive.\nAnswer: l**(-1051\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 - 2*j**2 + 3*j**2 - 3*j**2 to the form b*j**2 + s + i*j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 12 + -7 + 3 + -10 + -1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/4 - v**2\/2 + 17. What is o(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + -66. Calculate the remainder when x is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133677714 or 133677717?\nAnswer: 133677714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 (base 11) in base 14?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -44, -75, -140, -251?\n\"Answer: -2*n**3 + n**2 + 2*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 3*q + 4*q. Let g(p) be the first derivative of p**3 - 17. Determine j(g(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + (-79)\/(-4). Let i be u\/9 - (-4)\/(-18). Suppose -3*k = -i*k - 19. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2285\/3 - 766. Let u be (-4)\/6 - 7\/(-6). Which is the closest to 1\/2? (a) n (b) u (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 587.2595 years?\nAnswer: 58.72595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.742 rounded to zero decimal places?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 454702017 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22*p - 19. Let a be m(-1). Suppose -a*s + 3*b + 0*b = -111, -3*b = s - 49. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 724 - 148 = -16*d. Calculate the common denominator of (22\/(-10))\/((-3)\/(-7)) and 5\/d*60\/(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -737*z + 742*z + 31, 8*z - 2*v = -28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/25)\/(51\/935). Is 26 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*d*m**3 - 212*d*m**2 + 4*d - 39*m**5 wrt m?\nAnswer: 348*d - 2340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -42587 times -2\nAnswer: 85174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*u + 4*d - 20 = -126*u, -3*u - 3*d + 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 305 - 1481. 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: Round -25949.4288 to 0 decimal places.\nAnswer: -25949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 10*f**2 + 16*f - 6. Let v be ((-406)\/58)\/(1 + 0). What is s(v)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 14*w - 3. Calculate o(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15671 - -29971. Round h to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10143245587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n - 1. Let z be h(1). Let i be 4477\/33 + z\/(-3). Calculate the greatest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*t**4 + 790 + 790 - 1587 + 7*t - t**2 wrt t?\nAnswer: 684*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225303)\/5035 - -45) + (-14)\/70?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7856223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 2184028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 40. Suppose k*f - 7*f = 310. Let c = f - -72. What is the smallest common multiple of 7 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 5*a - 3*a)*(1 - 1 + 1) - 96 + 23*a + 96 - 3*a + 3*a + 2*a - 4*a + 0*a + 2*a + (2*a - 5*a + a)*(-2 - 2 + 5) - 4*a - a + 3*a - a - 2*a + 6*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwaywwywyawwymmy. Give prob of picking 2 w and 1 a.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.02 - 9. Let w = -0.32 + q. Let v = w + 4.3. Which is the closest to -5? (a) -2 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53.563 + 0.563. Let x = -104 + 104. Which is the fourth biggest value? (a) i (b) -1 (c) x (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22889424 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/180)\/(1\/(-3))*345\/(-207).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19622.9 and 2818.\nAnswer: -16804.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 6, -1, 1039666?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 - (11 - (-4 - -8))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. Let c = 37 - 32. Let p be c + (-4)\/(-2) - 2. Solve -n = -5*n - 5*u - p, -4*n - w*u = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151010760 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 486093*x + 118297746.\nAnswer: -3*(x - 162274)*(x + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -329, 0, -5, -3, 2, -1 in increasing order.\nAnswer: -329, -5, -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -12*w + 4. Let m be s(-8). Suppose 0 = 4*u + o - m, 3*u - 2*o - 31 - 33 = 0. Solve u = 4*c + 4*q, 9 = -3*c + 2*c + 4*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6246500 rounded to the nearest one hundred thousand?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -126, 14916, 0.5?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b + 173 - 143 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/23062 and -79\/7096.\nAnswer: 92248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q. Let z be (4\/2*1)\/(-2). Let r be v(z). Suppose -5*g + 3*y = -104, 0*y + 70 = r*g + 2*y. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92354.\nAnswer: 2, 61, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 28 = -5*w - 2*p, 5*p = w - 21. Is (8\/w + 3)*449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45189.859 rounded to the nearest 10?\nAnswer: 45190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14*-6*(-4)\/16. Is -4 - -1 - (-966)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6)\/(7\/(-112)). Is (c\/(-20))\/(2\/10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -15. Suppose n*y + c - 61 = -0*y, 4*y - 101 = 5*c. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/4883 + 4899\/39064. What is the nearest to q in -0.08, 3, 11?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-232)\/(-60) - 4). Put 2, -3, m in ascending order.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 3 - 2*j**2 + 11*j**2. Let w(x) = 18 + 15789*x - 15788*x - 18. Calculate w(s(k)).\nAnswer: 14*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c + 7*c + 1 - 5*c. Give f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 - (-436)\/(-109)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y\/((y\/y**(-3\/4))\/y))*y*y\/(y**(-26)\/y)*y)\/(y\/(y*(y\/y**(-35))\/y))**(-6\/5))**(2\/45) assuming y is positive.\nAnswer: y**(-53\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 24, 55, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1916.\nAnswer: -5\/1916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -12\/25, -2\/11, 1, -2.\nAnswer: -2, -12\/25, -2\/11, -0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 4*g - 4. Let k be b(6). Is 26 a factor of (-6 - (-135)\/(-10))*k\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 11:46 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11030132302 (base 4) to base 15.\nAnswer: 1bd797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (103 - (32 + 16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 k when three letters picked without replacement from dkddddk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -66?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m - 3*m)*(2 + 1 - 2)*(-2388 - 1251*m**2 + 2388).\nAnswer: -1251*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165455350 * -0.2.\nAnswer: -33091070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-2778)\/38 + (-388)\/(-3686)) - 7\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 115718, 462842, 1041376, 1851314, 2892650, 4165378?\n\"Answer: -f**3 + 115711*f**2 - 2*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 3*k + 4. Let f be w(3). Let z = 133 - 62. Suppose 3*n = -f*y - 2 + z, n - 33 = -2*y. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3610 divided by 4\nAnswer: -1805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 369.44590462907?\nAnswer: -369.34590462907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000344 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1101101101010111001011000?\nAnswer: -1101101101010111001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053487?\nAnswer: 983, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 108\/5*o**3 - 243\/10*o**2 + 21*o - 27\/10*o**4 - 18\/5*o**5 - 2 - 1\/2*o**6. Determine m, given that k(m) = 0.\nAnswer: -3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 + -5 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 16 = 4*f, -2*l + 7*l + f + 21 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 1210 = -7*p - 84*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33969 to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-4 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*t**3 - 72*t**3 + 362*t - 363*t.\nAnswer: 339*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59323033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muo when three letters picked without replacement from omulmlurg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 3\/5 - 2\/5*v.\nAnswer: -(v + 1)*(5*v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-14)\/8*-1))\/(27\/(-4158)*-44).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 2*r**4 + 2*r**3 + 37 - r - 4*r**4 - 12*r**2 to b*r**4 + m*r**3 + v + i*r + j*r**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1334293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*n + 8*n. Let h = -5\/2 - n. Factor -h*z + 0 + 3\/4*z**2 - 1\/4*z**3.\nAnswer: -z*(z - 2)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 1. Let b be l(-4). Suppose 5*o - b*r = 280 + 190, 283 = 3*o - 2*r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 612.5 - 612. Put -34, 2\/31, c in descending order.\nAnswer: c, 2\/31, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110221011321 (base 4) to base 7.\nAnswer: 63665034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 38\nAnswer: -7\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -11*s + 1179. Calculate the greatest common factor of 21749 and s.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.287 - -37542.\nAnswer: 37542.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15630 + 12794 = -1344*u - 54904 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1670 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 66*x**2 - 1049*x - 3559. Determine i(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, v: 14}. Give prob of sequence vvvv.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -215c?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -975 + 975.00699. Round u to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -49, -114, -205?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/20 of a litre in millilitres?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvdvvdvvd. Give prob of sequence vv.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(1\/(-2) - 1). Suppose 0 = 2*i + q*v + 1 - 3, i + 5*v - 1 = 0. Is (i - 2)*-1 - -5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146\/105 + -2\/35. Which is smaller: k or 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 103. Suppose 0 = -q*f + 5*j - 6 + 2, -4*j + 12 = -f. Suppose -f*z - 12 = -8*z. Solve o - 3*o = -5*c + 3, z*o = 2*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 7*p + 2 + 2*p**3 + 3*p + 2*p to b*p**2 + f*p**3 + h*p + y and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 9, a: 1, q: 1}. What is prob of sequence qajj?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23246.15 rounded to the nearest one hundred?\nAnswer: -23200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*u**4 - 6*u**4 + 16*u**4 + 4 + 2*u**2 + 0*u**2 - 2*u**3 - 1 to the form b + w*u**4 + h*u + i*u**3 + k*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1022 and 511?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -5, -327, -0.38, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157582819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97425720, 97425719, 97425718, 97425717, 97425716?\nAnswer: 97425715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 9*n + 9. Let j(l) = -l + 1. Let z(c) = -5*h(c) + 45*j(c). Let r(f) be the third derivative of -f**5\/60 - 153*f**2. Give z(r(p)).\nAnswer: 15*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.080338 + 9776.\nAnswer: 9692.919662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 12. Let w be h(6). Suppose -5*i = -3*i - w. Suppose 3*q = -i*b + 25800012, b - 8600008 = -0*b - 2*q. Round b to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6 - 1 - (-273)\/((-42588)\/(-20696))?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 113*f**2 + 356*f - 110. Is v(81) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(1584))*3 - (-2 + (sqrt(1584) - 3*(2 + sqrt(1584))**2)))*6.\nAnswer: 1656*sqrt(11) + 28740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 19*p**3\/6 - 18*p. Let w(n) = -2*n. Calculate w(f(h)).\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 20 = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:25 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**3 - x**2 - 5*x + 5. Let m(b) = 15*b**3 + 4*b**2 + 19*b - 19. Give 22*l(k) + 6*m(k).\nAnswer: 2*k**3 + 2*k**2 + 4*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19614 (base 10) in base 12?\nAnswer: -b426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100221787 and 17429876?\nAnswer: 400887148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 1)*516\/(-24) is divided by (-45)\/(-12)*2*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3470 and 508?\nAnswer: 881380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by ((-1056)\/(-9))\/4*(28 + -25).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609\/5*f**4 + 0 + 0*f + 30603\/5*f**2 + 3\/5*f**5 + 31209\/5*f**3 = 0 for f.\nAnswer: -101, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 2*k**2 + k + 2. Let j(i) = -i**3 - 2*i**2 + i + 3. Let b(w) = -4*h(w) + 3*j(w). Let c = 0 + -2. What is the units digit of b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 10:38 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -41109954715923?\nAnswer: -41109954715923.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(12\/(-62 - -14)). Suppose -4 = 5*x - 34. Suppose b*k = i - 8, -i = 8*k - 3*k + x. Solve 5*n - i*h + 2*h = -10, -2*n = 3*h + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*v - 117. Suppose -61 - 67 = -4*n. Let q = v - n. Put -5\/4, 1, q in decreasing order.\nAnswer: 1, -5\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*u - 8*u + 96 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14678777*h**3 + 2441076*h**2.\nAnswer: 88072662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n - w - 38, -3*w + 6 = 0. Let v = n + 27. Suppose -3*r + x + 2 = -x, x = -3*r + v. Solve -2*a = 4*c - a + 16, -2*a - r = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 - 16*t - 7. Let g(b) = b. Let r(n) = 2*a(n) + 26*g(n). Let w(h) = -7*h**2 - 2*h - 5. Let m be 4\/(-2) - -18 - -1. Calculate m*w(x) - 6*r(x).\nAnswer: x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 19. Let h be x(9). Suppose -3*r + h = 1. Which is the nearest to -0.06? (a) r (b) -1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1031\/100 - -264\/25. What is the closest to -2\/7 in 5\/3, -2, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 75*q**2 - 9*q - 1798. Calculate k(-38).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**2 - 507*i + 371. Let r be v(50). Solve -5 = -4*f - 2*z - r, -2*f + 5*z + 16 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:42 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u = 17*u + 12*u - 58410. Calculate the remainder when u is divided by 85.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c = -24. Suppose -5*o + c = 3. Suppose -5 = -3*z + o. Put z, 4, -2 in decreasing order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x + 99. Which is smaller: x or 32?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43475 >= 43477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -17, -41, -81, -143, -233?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 20\/7, -0.39, 0.1, 0?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, -97, -116, -145, -184?\n\"Answer: -5*n**2 + 6*n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 - 29. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 228569018380?\nAnswer: 228569018376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5 = -4*w, 4*s + 453 = -10*w + 423 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/7))\/p**(-2\/7)*p**(2\/9)\/(p*p**2*p))**(2\/17) assuming p is positive.\nAnswer: p**(-296\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -31, -77, -163, -301, -503?\n\"Answer: -2*r**3 - 2*r**2 + 2*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3036\/(-15))\/((-6)\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157042554.\nAnswer: 2, 3, 26173759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69 - 44?\nAnswer: -43.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 - 123.3. Let g = 10 - 8. Let w be (-10)\/(-18) - g\/9. What is the third biggest value in -3, w, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 12*d. Let a be v(-6). Suppose h + a = 11. Let p = h + -9. Solve -4*g + 11 = 3*y, 0 = g + p*g + 5*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (6 + 0 - (28 + -1 - 19)) + -9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -54*x + 53*x - 5 + 4. Let d(s) = s + 4. Suppose 11 - 1 = -5*j. Determine j*r(w) - d(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than -165676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a + 33 - 141 - 44*a + 81 + 30.\nAnswer: -32*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 108*u**2 + 118*u**2 - 226*u**2 + 40*u**4 + 0 - 2*u**4 + 0 + (-2*u**2 - u**2 + u**2)*(2*u**2 + 1 - 1).\nAnswer: 34*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, -13, -14, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1117*h - 275*h + 16958 = 3038. Let o be (4\/(-1))\/(2 + -3). Solve 6*q + h = o*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.376409 microseconds to milliseconds.\nAnswer: 0.003376409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 376, 0, 7 in ascending order.\nAnswer: 0, 7, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1506 and 34\/1113?\nAnswer: 558726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6755498?\nAnswer: 2, 47, 71867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -22\/5, -3.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*(8 - -2)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + 2\/(42\/5383). Suppose 0 = -m - 3*m + y. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793 = 2*u + 767 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 114*l + 235. What is u(-6)?\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12000222 (base 3) to base 13\nAnswer: -1895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in -0.2, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1587544, 1587542, 1587540, 1587538, 1587536?\n\"Answer: -2*o + 1587546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88.8 + 0.2. Let d = u + -64. Let b = 25.00000022 - d. What is b rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s. Let b(a) = 7*a. Suppose 2*i = 6*i - 20. Let v(m) = i*j(m) + 4*b(m). Let o(r) = 7*r**2 - r**2 - 2*r**2. Calculate v(o(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16390237?\nAnswer: 23, 199, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.786551 years to months.\nAnswer: 9.438612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36 - -a27c0?\nAnswer: a2826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/36 and -21\/22.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + -9. Let n = 98 + g. Let y(k) = -k**3 + 10*k**2 - 8*k - 5. Let d be y(9). Solve m - 16 = -3*m - 3*c, d*m - c = n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18947.39627 - 18947. Let f = 24.96327 - r. Let q = f + 0.233. What is q rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.88645 + 0.11255. Let f = 0.001 + z. Let s = f + -29. What is the third biggest value in s, -0.07, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6, -3*p + 6*p - 57 = -4*g. Let m be (0 - 1400)*3150\/p. What is m rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r, 0*g + 58*r - 53*r + 255 = 5*g. What is the remainder when 4129 is divided by g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1517, -1980, -2449, -2924, -3405, -3892?\nAnswer: -4385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 6*m**2 - 4*m - 10. Let a be o(7). Let x = 5 - a. Let z(c) = -c**2 - 6*c + 11. Does 10 divide z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 - -175. What is the greatest common divisor of 781 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-183)\/(-1098))\/((-2)\/36) - (2 + 2468\/(-492)).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.965458 kilograms?\nAnswer: 0.004965458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide -7 + (13 + -24)*(1*-2631)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/334062 and 121\/334062.\nAnswer: 334062","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 292456 and 2449319?\nAnswer: 19594552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2098250, 4196497, 6294742, 8392985?\n\"Answer: -n**2 + 2098250*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 188 divided by -47\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - 1705\/(-110))\/(-1 + -1). Sort -3\/2, 1\/3, -5, -4, h in decreasing order.\nAnswer: 1\/3, h, -3\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269703 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 20441131 to the nearest one hundred thousand.\nAnswer: 20400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 105 + 55. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2546 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(280\/(-208) - 6\/39).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314035018.\nAnswer: 2, 11, 14274319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -12) + (-4 - 1) + 13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*16.6774.\nAnswer: 3.33548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*f**2 - 14*f + 20.\nAnswer: -2*(f + 1)*(17*f - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18453, 18461, 18469?\nAnswer: 18477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, -4, -3, 0?\n\"Answer: u**2 - 4*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-120) - (-6 + 6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 10)*(-2)\/(-6) + 5. Let m(q) = 5*q**2 + 4*q - 8. Is m(r) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1514.189, 1\/4, 0.03, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111203333 (base 5) in base 4?\nAnswer: 1313321111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*v = -77284008, 2*q - 28*v + 32*v - 38642016 = 0. Round q to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*f = -24040, 9*a - 7*a = 4*f - 12020. Let x be 10480\/(-3) - 1\/(-3). Let d = x - a. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30544544 by 16.\nAnswer: 1909034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30907, 123563, 277965, 494113, 772007, 1111647, 1513033?\nAnswer: 1976165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.6 + -40.31044. Let g = -0.29 + i. What is g rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 9 + 7 - 11 - 12 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*q**2 + 5*q - 19*q**2 - 3 - 5*q.\nAnswer: 105*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/4 - 4\/(-8). Let f be q\/4*4\/3. Are f and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r - 38. Let s be n(-6). Suppose 0 = 3*x - s*x. Solve 3*b - 2 = v, b = -x*v + v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1716, 1742, 1818, 1968, 2216?\n\"Answer: 4*d**3 + d**2 - 5*d + 1716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287365090?\nAnswer: 2, 5, 83, 346223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1868 divide 96946206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2533 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vccv when four letters picked without replacement from {v: 4, c: 14}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgg when three letters picked without replacement from gggggjgg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*r = -20, 5*d - 4*r = r - 20. Let z(c) be the third derivative of -c**4\/24 + 4*c**3\/3 - c**2. Give z(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -18. Let y(l) = -2*l. Let g be y(-4). Let h(j) be the first derivative of -11*j**2\/2 + 3*j - 1. Let u(c) = 4*c - 1. Calculate g*u(v) + r*h(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3866, -3863, -3858, -3851, -3842, -3831, -3818?\nAnswer: -3803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(0 - 1\/(-2)). Let v be (z - 1)*2*1. Suppose 22 + 22 = v*w. Calculate the highest common factor of w and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 31 + 123. Solve -w*c = c + 45 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -226 + 31. Suppose -2*u + 0*u = 0. Suppose -a = 3*i - 43, a = -4*i - u*a + 58. Calculate the highest common factor of i and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6351245 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1010)\/(-100) + 40\/(-4))\/(9\/(3690\/4))?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/15, -0.2, -3, -3\/2 in decreasing order.\nAnswer: -0.2, -22\/15, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.06 - 38.66. Which is the third smallest value? (a) -20 (b) -1\/23 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/6 (b) -20 (c) -3 (d) -1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4485.293 years in centuries?\nAnswer: 44.85293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/57893180 and -99\/23157272.\nAnswer: 115786360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*x - 19, 22*f + 4 = 23*f + x. Let i(l) = -15*l**3 - l - 1. Calculate i(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-375)*15*(-1458)\/(-2187)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9311, 4199, -913, -6025, -11137, -16249?\nAnswer: -21361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -289, -591, -893, -1195, -1497, -1799?\n\"Answer: -302*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 199, 839, 1991, 3727, 6119, 9239?\n\"Answer: 12*m**3 + 184*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 - 710\/(-25). Suppose -2*z = -u - 14. Suppose 11 = 2*t - z. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 355 + -220. Let u = -58 + f. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -144, -304, -488, -690, -904, -1124, -1344?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339252 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1060*k**3 - 784?\nAnswer: -3180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 308*t**3 + 521652*t + 1 - 521652*t.\nAnswer: 308*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 23*j + 20*j, 22*w + 5*j + 40 = 27*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 43 + -22 - 19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68768 - 42257. Suppose 5*y - m = -8181. Suppose -y = -7*s - 6*s. What are the prime factors of s?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(20\/12) - -7. Sort -5, -4, g.\nAnswer: -5, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 61.6, 1, 0.2, -33 in decreasing order.\nAnswer: 96, 61.6, 1, 0.2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 - 2*l + 9. What is y(-5)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 251\/((-41)\/(-246) + (-4)\/6). Round j to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - 1283651.96?\nAnswer: -1283736.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, y: 3, h: 1, d: 5, j: 7}. What is prob of sequence jjh?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -293510.\nAnswer: 12\/29351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 21. Let c(a) = 7*a**2. What is c(h(w))?\nAnswer: 28*w**2 - 588*w + 3087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 13 - 22 = -5*a, 3*a = -5*c - 11. Suppose a*j - 1683 = -2*u, -4*j - 4265 = -2*u - 3*u. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 + 536*d + 542. Let o be k(135). Solve -3\/2*l**o + 75\/2 + 36*l = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16588118047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 7*m**2 - m - 7. Determine n(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -136048 equal to -136048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22194\/19146375*-50 + 2\/31?\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 751602589\/11545 + -65102. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6) + -1)\/(126\/1134)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218964*l - 25*l**2 - 1218966*l - l**2.\nAnswer: -26*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 6:51 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*l + 56*l + 134 = -26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778 - 680 = 135*q - 199*q + 118*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 8*f - 14. Let h be o(-2). Let w be (-3)\/6*2 + h\/(-1). Solve 1 = 2*c + w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + j - 3. Let n(z) = -4*z**2 + z - 4. Let b(o) = 4*n(o) - 5*p(o). Suppose 5*d = -0*d. Let v = d - 0. What is b(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*d + 19*d + 58*d + (1 + 1 + 0 + 3*d)*(0 - 2 + 1) + 2*d + 0*d - 3*d.\nAnswer: 98*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (2 - 5))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/4661 and 23\/790?\nAnswer: 46610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1120)\/(-21) + (-2)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139469.\nAnswer: 11, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.091 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Suppose v*o = 18 + 18. Is (-3794)\/(-18) - (-4)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*g, 0*g = 5*d + 3*g + 3. Let z = 125 + -109. Let r = -18 + z. What is the nearest to 2\/3 in d, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 3, d: 7, n: 2, g: 1}. What is prob of sequence dg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-56)*-7)\/(30\/(-220)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from kddddddkd.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*l + 12. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*sqrt(600))\/(-2*sqrt(12)*-3)*1*6)**2.\nAnswer: -120*sqrt(2) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 5420 + 3*o**2 - 103*o - 5425.\nAnswer: 2*o**2 - 103*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*w**3 + 2\/7*w**4 - 2\/7*w**2 + 1\/7*w**5 + 3\/7*w + 0 = 0. What is w?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79030 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j**2 - j + 24. Let c(d) = 4676*d - 2. What is c(l(h))?\nAnswer: 79492*h**2 - 4676*h + 112222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2068*f + 216?\nAnswer: 2068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -30. Suppose -4*p + 2*p - 4*z + 20 = 0, g = 5*p - 4*z + 6. Let q(m) = -16*m**2 + 10*m - 5. Let k(f) = 3*f**2 - 2*f + 1. Give p*q(t) + 11*k(t).\nAnswer: t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f + 6. Let v be 38\/3 + 9\/27. Let j(a) = 30*a + 26. Let r(m) = 45*m + 39. Let p(k) = 7*j(k) - 5*r(k). Give v*o(i) + 6*p(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pmpmspp.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 20119\/4791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -87*c. Let q(b) = -145*b + 72*b + 72*b. Let a(t) = t. Let n(x) = -4*a(x) - 3*q(x). Calculate n(i(h)).\nAnswer: 87*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404512 and 1408.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.66, -0.3, 2\/9?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.60708093 to two dps.\nAnswer: 4.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276760 or -276761?\nAnswer: -276761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.999258 weeks to milliseconds.\nAnswer: 6047551238.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79326 and 0.44.\nAnswer: -34903.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(72) + (sqrt(72)*-2 - sqrt(72))**2*1 - (2*(sqrt(12)\/(sqrt(12)\/sqrt(2)) + sqrt(2)))**2) + -3.\nAnswer: 12*sqrt(2) + 1229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 + 57 = -2*d. Solve 0 = -13*n + d*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 15. Let w be k(11). Let y = w - -25. Suppose 6 = 4*p - 3*p. Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/21 (b) -62 (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222011 - -1210?\nAnswer: -11220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3 - 1. Let t(m) = -2*m - 8. Let n be t(-6). Suppose -3*q = n*c - 152, -c - f = -3. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ccac3 (base 13) to base 4.\nAnswer: 1122210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - -0.25. Let o = g + 0.93. Is o less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 42*f + 2*u, f + 20*u + 2*u = 20*u + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 14, 46*j + k = 44*j + 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(891) + -4 - (-1 + sqrt(891) + -3))**2 + -6*(sqrt(11) + (sqrt(121)*-2)\/sqrt(11) + sqrt(11))*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven tenths of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1)\/((-2)\/(-2)). Let p = -5 - -9. Let n = t + p. Which is bigger: 9 or n?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 225*r**3 - 9*r**2 - 234*r. Let v(x) = 26*x**3 - x**2 - 27*x. Determine 8*b(l) - 69*v(l).\nAnswer: 6*l**3 - 3*l**2 - 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y + 74 = 0. Suppose 0 = o - 3*o + 2*c - 8, 1 = -4*o + c. Let n(p) = 10*p**2 - 2*p + 2. Calculate the remainder when y is divided by n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 15*o - 1. Let l(u) = 387*u - 4. What is 12*k(t) - 3*l(t)?\nAnswer: -981*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 354\/(-4)*7\/(21\/(-6)). Let p(y) = 2 + 178*y - 4 - l*y - 3. Let o be (-15 - -1)*(-2)\/4. Calculate p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.66 - 0.593. Let r = h - -0.993. Round r to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*w + 3*p, 0*w + 16 = -w - 5*p. Suppose 32 = w*t - 0*t. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, -4, 1, -12709 in decreasing order.\nAnswer: 13, 5, 1, -4, -12709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 168 = -x - 23636, -5*x = 10. List the prime factors of u.\nAnswer: 3, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + m = 2, -43*k + 39*k = 3*m + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12536 times -4\nAnswer: 50144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**2 + m - 43. Let b(w) = 9*w**2 - w - 43. Let n(a) = -2*b(a) + 3*k(a). Let y be n(6). Which is greater: y or -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/20 and 83\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 17*d**2 - 5*d + 5. What is the remainder when w(2) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3613?\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjjjxjjjjjxjxjjjxx. What is prob of sequence xj?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*x + 4. Suppose 4*a = -w + 3*w + 14, -4*a + 5*w = -23. Let l(i) = -i + 6. Let j be l(3). Solve 3*k - j = 2*t - 1, a*k + x*t = -3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1\/4, 101, 2.6, -3 in ascending order.\nAnswer: -3, -1\/4, 2.6, 41, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 1070 + 0*r**2 - 7*r**2 + 2*r**2 + 0*r**2 - 1067 as c*r**2 + s + a*r and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 34 = -12*o - 2*s, -2*s = -4*o + 64. Suppose -2*y = c - 139, 12*y + c = o*y - 206. Calculate the remainder when y is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(33))\/sqrt(3) + -3) - (3 + -3 + sqrt(1584) + sqrt(1584) + -1).\nAnswer: -36*sqrt(11) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/247)\/((-6)\/(-78))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g - 23*g = -35*g + 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (247\/(-836) - 3\/12) + (-8)\/(-44)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from heeeyippeipyhpeee?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 5. Suppose 3*t - 29 = 4. Calculate the least common multiple of t and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 346484?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/((-63)\/(-28))*39\/(-2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 596 + -602. Let p(t) = t**3 + 6*t**2 + 10*t + 6. Give p(g).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 322 + -289. Suppose y*p + 11370 - 88359 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h, -3*h = -2*r - 2*h + 16280. Let b = r + -97589\/12. Find the common denominator of 77\/6 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x**5 + 3088*x**4 - 38388*x**3 + 27643*x**2 - 13631*x\/2 + 564 = 0. Calculate x.\nAnswer: 1\/4, 47\/2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 13 - (-5 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42476 or -42489?\nAnswer: -42489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651859140 to the nearest integer?\nAnswer: 25532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 416994839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:18 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.06, -185, 2\/25, -2\/13?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18708*c*k**4 - 2*c*k**3 - 2*c + 66710 wrt k.\nAnswer: 74832*c*k**3 - 6*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2482501.9 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -582?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -90+0.38967\nAnswer: -89.61033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 3. Let n be r(4). Let h = n + -18. Is 537\/7 + (-2)\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 96 (b) -5 (c) 0.2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-12))\/((-9)\/(-24))*(-746)\/1865\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/12 + 286*o. Let n(t) = -72 + 140 - 67 + t. Calculate n(i(d)).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 333249 greater than 5665246\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46901587*h**2 + 19579068 wrt h.\nAnswer: -93803174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(4*(-9)\/(-12)). Is 2\/27 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**6\/24 + j**5\/60 + j**4\/24 + j**3\/6 + j**2 - 32*j. Let v be ((-4)\/(-6))\/(4\/(-6)). What is k(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*y + 2*y**3 + 2*y**3 - 63*y + 0*y**3.\nAnswer: 4*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (693 - (-2 - -3)) + (-2 - -6). Suppose -5*p = -5*j + 2*j + 706, -3*j + 3*p + c = 0. List the prime factors of j.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1721*r**3 + 4*r**2 + 8*r. Let j(m) = m**3 - m**2 - 2*m. Give -4*j(y) - w(y).\nAnswer: 1717*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2, 112*i = -2*c + 114*i + 736. Solve 360*j - c*j + 72 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54812.\nAnswer: 2, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**6\/42 - 3*n**5\/35 - n**4\/28 + 11*n**3\/21 - 6*n**2\/7 + 4*n\/7 + 263. Suppose v(j) = 0. Calculate j.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of (-4)\/20 - ((-21648)\/15 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193*137.\nAnswer: 26441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12156 is divided by 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 - 48 = 11*g - 141*g, g - 4*g + 14 = 4*p - 6*g - 29 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 10) to base 12\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = -0*y. Let p = 22.84 - 22.94. Let d = -6\/109 - 418\/327. Which is the second biggest value? (a) p (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 24 = 16*x. Suppose -408 = x*m + 5*a - 1809, 0 = 5*a + 15. What are the prime factors of m?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193730\/11 + -17612. Which is the nearest to 7? (a) -0.9 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*6)\/sqrt(5) + -2.\nAnswer: -12*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0379 + 0.0379. Put 2\/25, s, 5, -1\/5 in decreasing order.\nAnswer: 5, 2\/25, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286511000 rounded to the nearest 1000000?\nAnswer: -287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 11 - 9 = -n, 2*x - 46 = -4*n. Let w(h) = h**2 - 6*h - 5. Let a be w(7). Suppose -a*j + 117 = -x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*b\/((((b*b**10)\/b)\/b)\/b)*b)\/b)**1*b*(b\/((b*(b*b\/(b**(-1\/6)*b))\/b)\/b))\/b*b*b**20 assuming b is positive.\nAnswer: b**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 50723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11946 and 18.\nAnswer: 35838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.07183g in tonnes?\nAnswer: 0.00000907183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-6)*1034\/55. Let l(f) = -19*f + 10*f - 55*f**2 + o*f**2 + f**3 - 5. Determine l(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 49*g + 434. What is d(-6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000866805863 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 19, 7, -7, -23, -41?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/3 - 33514*d**3\/3 - 1950430*d**2\/3 - 616626*d + 1277940 = 0.\nAnswer: -57, -2, 1, 16815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2164 = -y, 24*y - 23*y = -f + 2162. What is the remainder when y is divided by 243?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 101*z + 106*z + 0 + 5 + 18 - 19. Let t(o) = -3*o. What is t(y(r))?\nAnswer: -621*r - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10940, -12027, -13114, -14201?\nAnswer: -15288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18375 + -18373. Put 9, -30, a in descending order.\nAnswer: 9, a, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -335 + -216766?\nAnswer: -217101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + y + 3. Let i(w) = 4*w**2 + 4*w + 2. Let a be i(-1). Let j(d) = 7 - 1 - 2*d**a + 3*d**2 - 7. Give 3*j(m) + k(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-5\/3)*r)\/r*r*r*r*r**(1\/2)*r*r)\/(r**(-4)\/r**(-11)))**(1\/73) assuming r is positive.\nAnswer: r**(-13\/438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*j = -2192*j - 4593*j - 77475 - 39957 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -42, -41, -8, 69, 202, 403, 684?\n\"Answer: 2*q**3 - 2*q**2 - 27*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 893*y - 2684. What is v(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126331 + -65328. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*f**3*p**3 - 10619*f**3*p**2 - f**3*p + 339*p**3 wrt p.\nAnswer: -156*f**3 + 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 10. Let t be k(-4). Let o(d) be the first derivative of 7*d**2\/2 - 67*d + 22. Let u be o(10). Solve h + u = -t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/96? (a) -5 (b) -29 (c) 2\/31 (d) 0.1 (e) -4 (f) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/3)*u)**25*(u*(u\/((u**1\/u)\/u))\/u)**46)**13 assuming u is positive.\nAnswer: u**(6188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 501851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*f + 5*w - 498, 3*w = 3*f - 411. Suppose -10 = -141*c + f*c. Suppose 1 = -0*n - 2*n + 3*k, 0 = -2*n - 4*k + 20. Solve c = -v + n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dgndduddduud?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let s = 14 + -13. Let w = 4 - 9. Let n(f) = 4*f + 2. Give s*n(y) + w*i(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-6)\/(-27)) + -3 + -1. Which is the nearest to r? (a) 1.5 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2866 + -2866.1. Which is the closest to -1? (a) k (b) -0.44 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41353787 and 271.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**6\/120 + y**5\/10 + 2*y**2. Let r be q(-6). Let f = -0.13 + 0.13. Which is the closest to f? (a) -5 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -813, -1686, -2559, -3432?\nAnswer: -4305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08203356381 and -1.\nAnswer: -0.91796643619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h - 76. Let u be m(14). Suppose -116 = -9*a + u*a. Calculate the remainder when a is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 59*s - 509. Let p be v(7). Solve 4*w + y + 2 = -5, -p*w - 5 = -y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1154884, -1154881, -1154876, -1154869?\nAnswer: -1154860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/3 - 5*z**3\/3 + 9*z**2 + z + 5. What is the tens digit of x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36774.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 2*h. Suppose 66 = 3*n + 21. Let d = n - 13. Give o(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by -2 - -1 - (6 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, w: 5}. Give prob of picking 1 w and 2 b.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2. Let g(a) be the first derivative of 0*a + 0*a**2 - 1\/3*a**3 + 2. What is g(d(p))?\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38543182 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 12*z**2 - 18*z - 9. Let t be c(10). Suppose 0*n = -5*n + 25. Let b = t - n. What is the lowest common multiple of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39162?\nAnswer: 2, 3, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 + -12 + -4 + 33 - 7\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 + 5*b**2 + 17*b. Let m(x) = 5*x**3 - 6*x**2 - 18*x. Determine 5*m(z) + 6*s(z).\nAnswer: z**3 + 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140600197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18985 = -445*b - 6825 for b.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5615*j + 123532. Let q be v(-22). Let g be (6\/(-42))\/(2\/(-7)). Solve -g*x**3 + x + 0 - 1\/2*x**q = 0 for x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 - (26 - 37 - -14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (216\/12)\/((-4)\/(-122)). Let u(v) = 549*v + v**2 - w*v. Let i(z) = -3*z. What is i(u(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157396 = 2176*n - 12361*n - 809236 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1123965 and 5.\nAnswer: 1123965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 255756783*v**4 + 2*v**3 + v + 22793937 wrt v?\nAnswer: 1023027132*v**3 + 6*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 - 7194*v**4 - 21594*v**3 - 21598*v**2 - 7200*v.\nAnswer: 2*v*(v - 3600)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6957 is divided by 1972?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2085 + -1313. What are the prime factors of q?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 + -3.23. What is the fourth biggest value in 4, i, -0.3, 0.01?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2))**(-42)\/(o*o*o**0)**(2\/5) assuming o is positive.\nAnswer: o**(206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.6 (c) 2 (d) 101 (e) -59 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1090019\/296736 - -1321\/352. Find the common denominator of k and -89\/18.\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/30))**48)**(1\/12))**(12\/13) assuming q is positive.\nAnswer: q**(-8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141334 + 1038603319?\nAnswer: 1038744653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4 + (-6 + 1 + 3)*(585 + 153 - 92))*(-3*u + 2*u + 0*u).\nAnswer: 1290*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4 - 148*a**3 + a**2 + 12*a.\nAnswer: 48*a - 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**9\/432 + j**5\/30 - 11*j**3\/3 - 5. Let v(t) be the third derivative of w(t). What is the second derivative of v(k) wrt k?\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 230. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 9*s**2 - s**2 + (-3 + 2*s**2 + 3)*(3 - 5 + 0) to the form c*s**2 + p + d*s and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**3\/2 + 549*u**2\/2 - 18927*u\/2 + 51759\/2 = 0?\nAnswer: -213, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281540 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -1.344, -13\/3, 2, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*k = -y + 16, -30 = -5*y + 5*k. What is the units digit of (27\/4)\/(y\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab791 (base 13) to base 12.\nAnswer: -130032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 121 - 41 + 736*g - g**3 to y*g**2 + o*g**3 + h + b*g and give b.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -364 and -1461\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r - 23 + 22 - 6*r - 49. Let i be s(12). Calculate the highest common factor of i and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*l - 4, 4*p = -4*l - 5 + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/211 <= -2\/4413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 53. Let w be (f - 4)*(1 - 1 - 1). What is the nearest to 0 in 4, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olttdhy. What is prob of picking 1 d, 1 y, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209348 is divided by 530?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-456)\/(-88) + ((-8)\/22)\/2. Solve a*i = 2 - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 791356783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -18902 - 2*n - 2*n**2 - 2*n**3 + 18902. Calculate d(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 263 - r**3 - 9*r**2 + 550*r + 105 + 110*r**2 + 84*r**2.\nAnswer: -(r - 184)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -10 + -4 - (-2 + 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -6.7 (c) 332.9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(3*d + 4*d - 5*d)*(-17281*d**2 + 30839*d**2 - 21686*d**2).\nAnswer: -32512*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*n + 274*n = 5*t - 2028, 4*n = -3*t + 1226. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 = 2*s + 10, 3*c - 5*s - 7 = 0. Put c, -2, 3, 0 in decreasing order.\nAnswer: 3, 0, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.21, -1\/3, -27.013, -4\/7?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-6))\/((-388)\/368 + 1). Put g, 4, 2 in ascending order.\nAnswer: 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143.671 + 0.329. Let f = c + -209. Let p = -65.0044 - f. Round p to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, 6.986, -3, 0.2?\nAnswer: 6.986","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*k + 8 = -3*i, -4*k - 14 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 103?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9823889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2*c**5\/5 - 205*c**4\/4 - 48*c**3 + 1183. Find the third derivative of n(q) wrt q.\nAnswer: -48*q - 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6362900 rounded to the nearest ten thousand?\nAnswer: 6360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3328 and 180544?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7072387486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248 + 9178\/37. Which is the smallest value? (a) n (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q + 0*q + 3*q + 0*q - q + (-2*q + 4*q - 4*q)*(4 + 1 - 7))*(-2 + 3 - 3)*(129 + 28 + 34).\nAnswer: -1910*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4150\/3 + 1383. Which is bigger: -66\/29 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1009 - 972. Let d = -364 - -771. What is the highest common divisor of o and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 685 + 719 = -3*b, 0 = -3*b - 3*c - 42 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5*g - 3*g)*(-668*g**2 + 191*g**3 - 671*g**2 + 1337*g**2).\nAnswer: 382*g**4 - 1150*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*w - 1, -2*d - 123*w = -125*w - 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/18 and -47\/9992340.\nAnswer: 9992340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 6:33 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, s: 1, c: 3, d: 2}. Give prob of sequence mmc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22726 and 2288.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11))**2*-2*3 + 5 + 1 + sqrt(11) + -4.\nAnswer: -64 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h + 5*h - 14*h + 2*h.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 465 + -482 + 0 + 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*j + 1241 = -5120 + 17058 + 14506 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfrfrffrf. What is prob of picking 1 f and 2 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4)\/1 - (-10)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) 1\/3 (c) -3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 93 = -11. Suppose 0 = 218*h - 1082*h + 136512. What is the remainder when h is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*q, 5*w = 4*q - 0 - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 6*u = -14. Suppose o + 0 = m + u, -m + 7 = o. Calculate the highest common divisor of m and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-33))\/((-2)\/6). What is the second smallest value in 0.2, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4494618442?\nAnswer: 2, 2247309221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 235325 (base 8) to base 5\nAnswer: 10034342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245656559 is divided by 3056.\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555, 1109, 1663?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13 - 3*z + 7 + 6*z. Let m = -3 - -2. Let u = -7 - m. Let s(h) = h + 7. Give u*j(b) + 17*s(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 444300080 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 6 = 16. Suppose 3*g + k*g = 15. Let m(d) = -2*d + d**g - 748*d**2 + 1 + 748*d**2. Calculate m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/17 - 150*l\/17 + 148\/17.\nAnswer: 2*(l - 74)*(l - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.83 - -0.13. Let p = d + 1.6. Let h = p + -0.6. What is the second smallest value in 2, -0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - sqrt(32)\/sqrt(2)*-1)\/(sqrt(128)*3) + (sqrt(1536) + sqrt(6) + sqrt(6))\/(sqrt(3) + -2*(sqrt(3) - sqrt(12))).\nAnswer: 37*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + 0.04. Let t = 0.4 - a. Which is greater: t or 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*o - 100*o = 165*o + 1905 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3 - 72 + 72 + 3*q wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 1606*n**3 + 319986*n**2 - 971230*n + 649636.\nAnswer: 2*(n - 2)*(n - 1)*(n + 403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -37586.48717 to the nearest 10.\nAnswer: -37590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 245301128 < 245301128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 33 - 30) + 71 + -108?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - b - 2*b + (-2*b + 6*b - 2*b)*(-31 + 5 - 40) - b + 0*b - 2*b to the form n*b + w and give n.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/17 <= -1082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256720 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341 - -342.26. Let k = 109.94 + -114. Let i = k + p. What is i rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505 (base 8) to base 11.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 1472*d**3 + 0*d + 8464\/3*d**2 + 31*d**4 + 0 + 1\/6*d**5 = 0. Calculate d.\nAnswer: -92, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2*z - 2. Let j(d) = 4 - 3 + d - 5. Let o be j(6). Let w be l(o). Which is smaller: -5\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 1 = 0, -5*v - 15 = k - 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173965734 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 20*b + 10*b + 8*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 3*i - 6. Let m be y(-5). Let h be (-57)\/(-9) + (-2 - -4). Let s = -8 + h. Which is the closest to 2\/3? (a) -0.5 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-187)\/(-450) + (-2)\/4. Let r = -2\/75 + h. Let l be 14\/15*-5 + (4 - 0). Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4230000 rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 2*t**2 - 54*t + 470. Give a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, c: 5, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.130114 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307112684 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (3 - (-22)\/26). What is the nearest to 0 in -1\/2, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16233977.\nAnswer: 16233977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 8*o + 3*r - 1554, 2*r = -5*o + 3885. Calculate the highest common factor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -25, 4, 5, -6141 in decreasing order.\nAnswer: 5, 4, 1, -2, -25, -6141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/21 and 61\/25680.\nAnswer: 179760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 20*t**4 + 1315*t**3 - 20270*t**2 + 52385*t - 11850 = 0.\nAnswer: -79, 1\/4, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 178?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 40 + (-8)\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o - 6 = -c - 66*o, -7 = -3*c - 2*o. Let x(v) = -3*v**3 + 4*v**2 - v - 4. Give x(c).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -677, 1339, 4697, 9403, 15463, 22883, 31669, 41827?\n\"Answer: s**3 + 665*s**2 + 14*s - 1357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*b - 0*b. Let f be b\/(-33) + 20\/11. Suppose -2*a + 18 = f*o, -4*a - 5*o + 32 = -8. Do 5 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2474547*q**3 - 567*q**2 + 545*q + 2 wrt q?\nAnswer: 14847282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1530.4, 2\/31, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -6*r + 6*p - 7*p, 5*r = 6*p + 25. Suppose 5*o = s - 3*s + 258, 0 = -2*o + 4*s + 108. What is the least common multiple of o and r?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to 95\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*b = -4, -7*t = -3*t - 3*b - 9. Let j(s) = -6*s**2 + 3 - t*s - 5 + 5. Let f(a) = 7*a**2 - 6 + 5 + 4*a - 6 - 3 + 6. Calculate -3*f(r) - 4*j(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/5)*(x\/(x\/(x**(-4)*x)))\/x*x*x*x**1\/((x\/((x**(-1\/2)\/x)\/x))\/x) assuming x is positive.\nAnswer: x**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:30 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/100, 4, -2020, -0.2 in decreasing order.\nAnswer: 4, 2\/5, 1\/100, -0.2, -2020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 108669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 18*b - 101 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91665*-134.\nAnswer: -12283110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*a + 6 = -55*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25574224.\nAnswer: 2, 13, 122953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22275531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 15) to base 3.\nAnswer: -11122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/4, 765\/32, -3\/5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4056 and 470964?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8355 to 2 decimal places.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*i + s, -i - 10 = 2*i + 5*s. Let h = 34193\/6 - 5677. Let g = h - 22. Is g at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 + (-133)\/(-3). Let u = -31 + d. Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -237243017 - -3?\nAnswer: -237243014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + 0)\/((-9)\/6). Let y be 4\/18 + x\/(-27). Suppose -76*p - 452 = 37*p. Put p, 5, y in descending order.\nAnswer: 5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16587*g + 2109 - 16586*g + 33177*g)*(0 + 0 + 2*g) as n*g + y*g**2 + f and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(-5 + 1*sqrt(304)))**2.\nAnswer: -672*sqrt(19) + 5305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 - 54435.\nAnswer: -54434.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*o*u**2 - 2*g**2*o*u + 17607680*g**2*u**2 + 3*g*o*u + 18*g*u - 124*o*u + 3*o wrt u.\nAnswer: -4*g**2*o + 35215360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267050, -266672, -266294, -265916, -265538?\nAnswer: -265160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2331 is divided by 766?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1906 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**8\/1512 - k**7\/315 - k**6\/270 + k**5\/135 + k**4\/36 + k**3\/27 + 3*k**2. Factor d(m).\nAnswer: -2*(m - 1)*(m + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3)*(235*m - 451949 + 451949 - 4222*m).\nAnswer: 11961*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 411, 610, 805, 996?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 - 2*s - 2. Determine j(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -30, -49, -70, -93, -118?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide ((-134)\/(-4))\/(((-4)\/(-576))\/((-6)\/(-4)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {c: 4, s: 6, i: 4, v: 1, k: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**5 + y**3 - y**2. Let r(m) = -42*m**5 - 6*m**3 + 6*m**2 - 3*m. Let n(l) = -6*o(l) - r(l). Find the second derivative of n(t) wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35130 (base 6) to base 15.\nAnswer: -174c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(324))\/(sqrt(98) + (sqrt(98) - (sqrt(98) - (-2*sqrt(98)*-2 + sqrt(98))))))**2.\nAnswer: 162\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -719, -1, 16, 0.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by ((-31)\/(-3))\/((-6)\/(-36))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.1. Let c = -5 - -8. Let y = -4637 + 4636.7. What is the third smallest value in y, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*g - 84, 5*n + 127 = 5*g - 4*g. Calculate the remainder when 47 is divided by 46\/(-299) + (-446)\/n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4567.\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(243)*-3)**2 + 0 + -4 + sqrt(3) + (sqrt(33) - (sqrt(198)\/sqrt(6) + sqrt(33)))\/sqrt(11) + -2 + 3).\nAnswer: -8736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176102\/11 + 13442393944\/839663. Let u = -19084804\/59310741 - d. Let y = u + 4\/111. Sort -3, y, -2.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = -3*n + 49, 4*i = 16. Let t = n + -29. Let c = t - -31. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-66)\/(-1)*(-8 + 9) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - 8*y + 7*y + 3*y.\nAnswer: 2*y - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 + 6*h**3 + 13446*h**2 - 13446*h**2 to the form v*h**3 + b*h**2 + j + k*h and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -530220?\nAnswer: 530231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.09409 seconds in milliseconds?\nAnswer: 91094.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sixths of a week?\nAnswer: 38640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z - 6. Let j(x) = 300*x + 2*x**2 - 586*x + 283*x - 17. Determine 6*j(t) - 17*m(t).\nAnswer: -5*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2\/11, -0.6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9220 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4372 is divided by 1448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719735 minus 274.037112?\nAnswer: 719460.962888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 + 81*w**3 + 452*w**3.\nAnswer: 545*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 18 = -3*b, -3*a = b - 2*b - 6. Let f(d) = -2*d. Let r be f(b). Suppose i = -i + r. Calculate the highest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14464071 rounded to the nearest one hundred thousand?\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 361014 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l. Let h(m) be the second derivative of m**3\/6 - m. Let u(v) = d(v) - 6*h(v). Let o(x) = -4*x + 4*x - 3*x + 4*x. What is u(o(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 0 + 5 - (-2 + -1*sqrt(128))) + -3*(-2*sqrt(128) + 3))**2.\nAnswer: -256*sqrt(2) + 8196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, -221, -464, -691, -896, -1073?\n\"Answer: g**3 - g**2 - 257*g + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360692283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/39 - (200\/585)\/(-5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14*r**2 + 6*r - 29. Let y(q) = 5*q**2 - 2*q + 10. What is -6*i(k) - 17*y(k)?\nAnswer: -k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 0, -20*p - 922 = -22*p + r. What is the remainder when p is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 288 and 2992.12.\nAnswer: 861730.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2851, 2861, 2875, 2893?\nAnswer: 2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.466 - 2.5. Let j = f - 1.366. Is -2\/5 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 20*y**2 + 10*y - 3. Let g(m) = 7*m**2 + 3*m - 1. Let b(i) = -17*g(i) + 6*w(i). What is b(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(-4 + 1 + 4)*(3*r**5 - 5*r**5 - 2*r**5).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -265640.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -133511, -267001, -400491?\n\"Answer: -133490*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five quarters of a century?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -66. What is the third smallest value in w, -7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*z - 181*z - 4404 = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 2*x - 22 = 8*t, -68*t + 713 - 30 = 3*x for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7147 or 28585\/4?\nAnswer: 28585\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 362 - 138. What is the greatest common divisor of 168 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a - 2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 99\/((-30195)\/122)*(-2)\/(4\/205)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1046, -948, -836, -704, -546, -356, -128?\n\"Answer: r**3 + r**2 + 88*r - 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.2 - 2.8. Let r = t - 1. Let y = r + 13. Which is the second biggest value? (a) 2\/11 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2 + 1 + -3. Suppose m = -2*j - 0*j. Let v be (12 + -7)*-1 + 11. Solve j*i = 3*i - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-3)\/6*2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267932\/(-12 + 26) - 1\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asrrrsarsbburnarr. Give prob of picking 1 u, 2 r, and 1 s.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -20*o + 610. Let g be n(-10). Is 810 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3762323476 to three decimal places.\nAnswer: -1.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174358)\/(-1307685))\/((-1)\/(3 + 1) + 42\/8).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 5*c**2 - c**2 - c**2 + 5*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2194966 or -0.0608?\nAnswer: -0.0608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*l - 3184 = -59*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -941, -4325, -10045, -18101, -28493?\n\"Answer: -1168*k**2 + 120*k + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 55740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302 - 303.762. Let i = 1.7 + w. What is i rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**3*g - 301*b**3 - 28*b*g - 2*b - 30*g + 2 wrt g?\nAnswer: 4*b**3 - 28*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40477, 40480, 40483, 40486, 40489, 40492?\nAnswer: 40495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 8 - (178\/(-623) - 23\/(-7)). Solve 3*t = 4*h + 8, -t - 4*h = -f*t + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojzch. What is prob of sequence jcz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/5 (b) 4\/7 (c) 6635\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m - 9 = 0. Suppose -2*v = m*v - 5*w - 55, 4 = 4*w. Calculate the least common multiple of 3 and 45\/v + 2\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240\/11 - -707\/44. Let y = 25703\/22 - 1170. Find the common denominator of y and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 7, -1 in increasing order.\nAnswer: -6, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37247 and -425733.\nAnswer: -388486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 5) + (5 - 0) + -1723. Let g = 2491 + f. What is the highest common factor of 74 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + 3.98. Which is the closest to 0.1? (a) q (b) -0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -74. Let g = 202 - m. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1756*d**2 + 18*d + 864*d**2 + 40 + 4*d**3 + 871*d**2 - 3*d**3. Calculate m(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-59 - 13) + -4 + 2 + 3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/1012349 and 111\/470860.\nAnswer: 20246980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110953903, -110953900, -110953895, -110953888, -110953879, -110953868?\nAnswer: -110953855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -510\/1069 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -650705*q*t**2 - 7*q*t - 20735479*t**2 wrt q.\nAnswer: -650705*t**2 - 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1950*r + 1807*r + 1859 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4571?\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1300307 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7524812 (base 9) to base 14.\nAnswer: 76d581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/60 - 7*m**4\/24 + 3*m**3\/2 - m**2. Let a be z(6). Differentiate -1 - a + 2 - 2*o with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646 - -643 - ((1 - 0) + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436362 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/5)\/(-8 - (-39)\/5). Let p be (-20)\/f*(12\/5 + 0). Put -2, p, 7, -5 in decreasing order.\nAnswer: 7, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/2535, 0.174, 8?\nAnswer: -2\/2535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -116*d + 228. Give w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 1845\/7*m**2 + 216\/7*m**3 + 879\/7*m - 48\/7*m**4 + 108\/7 = 0?\nAnswer: -4, -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*h + 30, 3*h + 0*h + 9 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14759 - 14759 - 503*f to k*f + j and give k.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/14)\/((-4)\/16).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/225 - 629\/225. Let f = x - -47\/15. Factor -f + 0*u + 1\/3*u**2.\nAnswer: (u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2160, 2904, 3648, 4392, 5136?\n\"Answer: 744*o + 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1550.34748.\nAnswer: 7751.7374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2692 + 11244. Let k = j - 2138. Determine t so that 2*t**4 + 3*t**3 + k + 0*t + 1\/3*t**5 + 0*t**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6840 and 1692499860?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4403801049 to the power of 1\/4, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - 5*w + w)*(0 + 3 + 1)*(225 - 41*w - 225) to the form r*w + t + q*w**2 and give q.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17685 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -254 - 52252?\nAnswer: -52536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155550276.55103544 - -155550271. Let a = 2.35103503 + n. Let t = a + 3.2. Round t to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22451115 to the power of 1\/2, to the nearest integer?\nAnswer: 4738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440\/888*(-96)\/(-15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Suppose -h*p + p + 6 = 0. Solve 0 = -2*j - p - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3.1. Let w = -2.93 - 0.07. Which is the biggest value? (a) w (b) 3\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1546 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*k - 3. Suppose -v + 4 = -a, -3*v = -k*a + 1 - 8. What are the prime factors of (0 - v)*1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/218, -0.3, -440 in descending order.\nAnswer: 3\/218, -0.3, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*l = 3, 2*p + 71 = -2*l + 69 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1 - -3) + 31 + -34. Suppose 2*p - 2*z - 227 - 15 = 0, z = j. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/15*((-6)\/(-60))\/(10\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 252*w**3 - 2*w**2 + 1. Is f(1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 - 8*w**2 + 3*w + 4*w**2 - 3*w + 4 - 12*w**2 as q + l*w**2 + o*w + f*w**3 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*x - 49*x + 3*x**2 + 10*x**3 + 95*x to w*x + r + m*x**2 + t*x**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 9) to base 12\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 235 - 9*o - 3*o - 554 + 322 - 11*o.\nAnswer: -27*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.1. Suppose 2*b + 166 = 2*w, 4*b = 3*w - 266 + 22. Let l = w - 614\/7. Which is greater: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018923 to five dps.\nAnswer: 0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z**2 + 13*z + 12. Is a(-6) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*a*c*q**3 - 2*a*c*q**2 + a*c + 3*a*q + 3*q**3 + 8*q wrt q.\nAnswer: -648*a*c*q - 4*a*c + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828408?\nAnswer: 2, 3, 7, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11731 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/10)\/((5\/(-1474))\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8280)\/10764)\/((-40)\/2912).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*l - 4)*(8 + 29 - 16)*(514*l - 514*l + 2*l**2 - 69) - 3*l**3 + 4*l**3 - 2*l**3 to x*l**2 + v + u*l**3 + s*l and give s.\nAnswer: -2898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/(-10) - (1397\/55 + -25).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**4 + 33*p**3 + 6*p**2 - 24*p.\nAnswer: -3*p*(p - 2)*(p - 1)*(5*p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*m**2 - 81*g*m + 10*g + m**2 + 4524*m - 1 with respect to g.\nAnswer: 3*m**2 - 81*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:57 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32 (b) 12 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a factor of 1125478586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -5) - (-11 + 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z - 367. Give b(26).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15248946503909 and 0.07?\nAnswer: 15248946503908.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1 - 3) - (-13 + 21 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 54 = 6*b, -2303*b + 8 = -2302*b + v for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 16*c**2 + 24*c - 58. What is u(15)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -14. Let m = -21.104 - -0.104. Let y = m + b. Which is smaller: y or 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-5)\/(-140)*(49 + -77).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9301 + 9775. Solve -p*s = -462*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198259047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 162132881 and 1.0238.\nAnswer: 162132882.0238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2210+-274\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, 9, 4.\nAnswer: 0, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Find the second derivative of 8*h**3 + y*h - 5*h - 14*h**4 - 8*h**3 wrt h.\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -526*o - 49. Is g(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from {p: 2, t: 3, m: 3, x: 1, u: 1, n: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**6\/30 + 8*y**5\/5 - 113*y**4\/12 + 216*y. Find the third derivative of a(c) wrt c.\nAnswer: -24*c + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 2*x + 3. Let p be i(3). Suppose p = s + s + 12. What is the remainder when (2\/(-4))\/(s\/84) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 95831, 383270, 862321, 1532984?\n\"Answer: 95806*i**2 + 21*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*l - 347 - 80 - 585 - 536 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1349010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 17310.\nAnswer: 17310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n = 4*k + 20, -5*n = -4*k - 20. Solve -3*y - x = 0, n*y + 4*y = -5*x - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4 - 47*x**3 - 45*x**2 + 47*x + 46 = 0.\nAnswer: -46, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-85)\/272*2\/(-5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(120\/420)*-1*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16028815 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293698 is divided by 671?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3 - a**2*b*d - 5*a**2*b + 64*a**2*d - 5*a*b*d - 8*a*b + 2*a*d wrt a.\nAnswer: 6*a - 2*b*d - 10*b + 128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 417*x**2 + 2*x + 1 - 59 + 956*x**2.\nAnswer: 2*x**3 + 1373*x**2 + 2*x - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21066249 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 129.09 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -13*h**2. Let t(b) = 195*b - 387*b + 23*b**2 + 192*b. What is f(t(v))?\nAnswer: -6877*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.4 - -22. Let t = 14 + -10. Sort t, o, -2.\nAnswer: -2, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and (18\/10)\/((-12)\/(-40)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107348229*f**5 - 130140899*f.\nAnswer: 2146964580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i + 1 - i - 4*i**3 - 8*i - 5*i**2 + 2*i**3. Let h be (-2)\/(-7) + (-115)\/35. Does 6 divide o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 6*g + 9, 0 = -5*g + 3*o - 0*o - 286 + 300 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6257 or 54662?\nAnswer: 54662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 133 + 141 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 6 - (0 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 353675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2893 - -0.0893. Put 4\/21, l, -1\/6 in increasing order.\nAnswer: l, -1\/6, 4\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40113 + -240414?\nAnswer: -331032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12416 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33892880 is divided by 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o + 11. What is the lowest common multiple of 18 and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, r: 3, o: 3, v: 2}. Give prob of sequence oyo.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12203415 and 35511?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 12*u**2 + 11*u + 6. Let z be q(11). Suppose g - z*g = -215. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 341?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1277*h*n**3*u**2 + 35437*h*u**2 + 7514776*n**3*u**2 wrt h.\nAnswer: 1277*n**3*u**2 + 35437*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**4 - 6*u**3 + 5*u. Let c(y) = -11*y**4 - 7*y**3 + 6*y. Let d(f) = 6*c(f) - 7*k(f). Find the second derivative of d(p) wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(0*w + 1 + 0 + w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:39 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 8. Give t(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141014322 - 0?\nAnswer: -141014322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 3, 0.96, -0.2, 144, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 2500*s\/7 + 5008\/7.\nAnswer: -2*(s - 2)*(s + 1252)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, s: 4, h: 2, j: 2, q: 3}. Give prob of picking 2 j, 1 c, and 1 h.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u - 4*y - 4, u + 2 = 4*y. Suppose -23 = -3*t + 4*l + 251, -u*t + 186 = -2*l. What is the highest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, k: 4, h: 4, g: 1, w: 6}. What is prob of sequence gw?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/4, 4\/5, -9\/256, -3, -5, -0.1?\nAnswer: -9\/256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -214652 less than or equal to -214653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y + 46*y + 1584 = 0. Solve 0 = g - y + 94 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3533?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = a - 3*a - 440, -5*s + 3*a = -445. Suppose -6*g - s = -4*g. Let x = g + 117. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961402000 rounded to the nearest 1000000?\nAnswer: 961000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/48625 - 12204847\/1361500. Let l = u - -54\/7. Which is the nearest to -1? (a) l (b) -1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1297758 and 20034?\nAnswer: 11679822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 260038 + (7\/(-3))\/((-3)\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34894678.\nAnswer: 2, 7, 13, 19, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/7 + 861\/49. Let f = -15 + l. Let p(z) = z - 1. Let m be p(f). Solve m*b - x + 2*x + 7 = 0, 4 = -4*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7922030 to the power of 1\/2, to the nearest integer?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 18588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 + 4.11. Let i = -141\/7 - -20. Sort 3, c, i in increasing order.\nAnswer: i, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-13525)\/900) + -19 + -8?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -390.2 + 389.9. Let q = -3\/31 - -83\/217. What is the nearest to q in 3, 3\/4, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3068)\/(-117) - 26) + (-15)\/27. Let a = -3.92 + -0.08. What is the closest to 3\/8 in o, 1\/3, a, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 13. Suppose a*x - x = 2. What is the least common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3729309\/647 + 5764. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:18 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -453693253 and 1?\nAnswer: -453693253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-30)\/15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -12 + 24 - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*g = 17, -5 = -2*g + 3. Suppose l*n - 13 = -4*v, -n - 27 = -3*n + v. Solve -n = -4*b - c + 5, 20 = 5*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5542\/(-119) - -47 - 22\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400970?\nAnswer: 2, 5, 101, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.725211 decades to millennia.\nAnswer: 0.02725211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122899?\nAnswer: 7, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -4, 8, -6178, 2\/3, -4\/5, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 81070 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:58 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1355*h - 14583. Let y(k) = 1027*k + 10937. Let t(q) = 10*v(q) + 13*y(q). Differentiate t(r) with respect to r.\nAnswer: -199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 369 and -570?\nAnswer: -210330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2653 = p - j, 2*p - 5*j + 5318 = 0. Let i = -18615\/7 - p. Let w = i - 870\/91. What is the nearest to -2 in w, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35745*l + 36292*l - 71589*l.\nAnswer: 448*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 8. Let i(c) = -2*c + 19. Let p(b) = 3*i(b) + 7*w(b). Let g be 2\/(-4)*(-3 - -5). Let y(t) = 4*t + 2. Let q(z) = g*y(z) + 6*p(z). Determine q(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609 less than -0.05?\nAnswer: -2609.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -280 (b) -20.77 (c) -42 (d) 0.3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (3 + -18 - (90 - 146)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 607 - 922. Is 9\/(-6) - i\/6 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.4 - -42. Let t = 8.86 - -0.14. Let m = t - g. Which is the third biggest value? (a) m (b) 2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27613 is divided by 13803.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 263640000 to the nearest 1000000.\nAnswer: 264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 15*d - 9*d + 2*d**2 + d + d.\nAnswer: 3*d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 + 59 = 15*i. Find the second derivative of -2 - 7*f + 55*f**5 + i - 4*f + 15*f wrt f.\nAnswer: 1100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 56*r - 82. Suppose 5*n - 190 + 170 = 0. Calculate the remainder when h(n) is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (308*i - 524*i - 431*i)*(1 - 3 - 1) as u*i + t and give u.\nAnswer: 1941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 6. Let l(k) = -171*k + 29. What is l(w) + 5*u(w)?\nAnswer: -166*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -60. Let q(f) = f**2 + 7*f - 4. Give q(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*y**3 + 0*y - y**5 + 0*y**2 + 3\/4*y**4 + 0.\nAnswer: -y**3*(y - 1)*(4*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1554.389824571 + 1561.9598189. Let h = 7.57 - i. What is h rounded to seven dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/4)\/(((-21)\/(-66))\/(-7)). Let n = -22 + w. Suppose 3*f + 2*c - 15600010 = 0, n*c - 20799995 = -4*f + c. Round f to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 8*o - 4. Let s be d(3). Let h be (-200)\/14 - s\/(-7). Let q be h\/63 - (-20)\/9. Which is smaller: q or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 12*z + 12. Determine f(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*o + 5*f + 42, 36 = -2*o + 2*f. Let d be o\/(-18)*2\/(-10). What is the biggest value in d, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -29 + 38 - 3*i + 4*i. Let h(q) = q + 17. What is -5*a(z) + 3*h(z)?\nAnswer: -2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*a + 815 - 796, 3*i = 3*a - 3. Let c(z) = -2*z**2 + 8*z. Give c(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -5, -64, -3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -20. Let u = o + 21. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvrorxgrhgrrg. What is prob of sequence oxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22714529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12530569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 5 (c) 1\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19993 + -19987. Solve 2*r - 39*z + 36*z = -7, -2*z + f = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-3)*(-54)\/24. Let t(v) = v**3 - 4*v**2 - 5*v - 3. Suppose 4*q = -3 + 87. What is the remainder when t(o) is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 112.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 3 + 93 = 0. Find the third derivative of -39*v**3 + 12 - 32 + 2*v**2 + n - 22*v**2 + 8 wrt v.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418337642 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 67*b + 103. Let a be m(32). Suppose -q + 57 = -2*r + 326, -3*r + 5*q = -421. Suppose a*s = -5*s + r. Solve s*g = 7*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42746 and 53801.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:57 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 9:49 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3062899 to 4 decimal places.\nAnswer: 0.3063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -23343?\nAnswer: 23361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -989 - -1429. Let f = 445 - i. What is the greatest common factor of f and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + (-56 - 42) - (-4 - 16)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 274001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432894 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-15)\/q**(2\/45)*(q**(4\/9))**12 assuming q is positive.\nAnswer: q**(-437\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 153*c**2 + 74*c**2 - 39*c**2 - 2*c**2 + 0*c**2 + c**2 + (2*c - 3*c + 0*c)*(c + 5*c + c).\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -0.06 (c) 1\/5 (d) -0.2 (e) -2\/13 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 + 114*f + 1463. Give v(32).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**4 + 19240*f**3 - 16566835*f**2 - 3831798580*f + 3848346180 = 0.\nAnswer: -189, 1, 2018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 17*w - 12960. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 3*q**2 + 5*q. Let d(s) = -6*s**3 + 8*s**2 + 14*s. Determine 3*d(i) - 8*f(i).\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 33 + -59 + 18.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14821 = -2*a, -6*i + i - 5 = 0. Let f be a\/(-13) + (-8)\/52. Round f to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 42 = 3*z + 29, 0 = 2*f - 3*z - 37. Suppose 4*m + a = f - 1, 2*m - 8 = -4*a. Suppose -m*l = -l - 291. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 66555?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 8 = -4*f, 5*t + 20 = 0. What is the nearest to 1.7 in -0.1, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let x(z) = l + 3 - z - 3. What is the units digit of x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 + l - 5. Let p(b) = -34*b - 16. Let q be p(-1). Let c(j) = j**3 - 17*j**2 - 20*j + 32. Let m be c(q). What is v(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/18 and (-3 - (-3 - 3))*33\/20736*-33.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 871 = -5*q, 633 = 5*q + 5*b - 262. Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1202012?\nAnswer: 1202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10585, 20532, 30459, 40360, 50229, 60060, 69847, 79584?\n\"Answer: -w**3 - 4*w**2 + 9966*w + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3 + 3\/4*v**4 - 9\/4*v**2 + 3\/2*v**3 - 3*v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + 4 + (8 - (-108513)\/(-9)*-2).\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6*p**2 - 2*p**2 + 9*p**2)*(p**2 - p**2 - p**2) + p**4 + 2*p**4 - 7*p**4)*(3 - 4 + 0) in the form f*p**4 + z*p**3 + d*p**2 + o*p + v and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3554, 3556, 3558, 3560, 3562, 3564?\n\"Answer: 2*g + 3552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 33. Let m = -16.312 - -13.312. Sort m, g, -0.4 in descending order.\nAnswer: g, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 1 - 13 = 0. Suppose 4*i - o*w - w = 39, 5*i - 2*w = 40. Calculate the highest common factor of 18 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h + 9. Let x(o) = 13*o + 18. Let l(v) = -11*a(v) + 6*x(v). Let w be l(0). Suppose w*j - 2 = 34. Solve 0*i + 4*i = -3*g + 20, j*g - 10 = 3*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -389 + 397. Suppose 3*p = -6, g*p + 25 = 3*q + 9*p. Let v(a) = 0*a**2 - 11*a + 3 + a**2 + 2*a. Calculate v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/190640 and 17\/9288.\nAnswer: 221333040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9298 and 60437?\nAnswer: 120874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrfrr. Give prob of sequence rfr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.106\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + z**3 - 3*z**3 + 97 - 7.\nAnswer: -2*z**3 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -12, 5*v + 4*q = 29. Let a(c) = 30*c + 24*c - v - 55*c. Determine a(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000057677815 rounded to 7 dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -231, -242, -257, -276, -299?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22509)\/(-32880) - -1 - 1. Let l be (4\/(-685))\/(-1 + 3). Let d = b - l. Find the common denominator of d and -35\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*f + 14, 5*i = -2*f - 0*f + 31. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 734 - -4?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-39)\/5 + 1 - (-16)\/20. Let j(x) = -x**2 - 6. Let d(n) = 1 - 3 + 1. Determine a*d(l) + j(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361*s**3\/2 - 2451*s**2\/2 + 264*s - 14.\nAnswer: -(s + 7)*(19*s - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19314414 divided by 306\nAnswer: 63119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 2*g - 15 + 20 to the form j + h*g and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (17 - -1) + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*k = 2703 + 1023 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjf when three letters picked without replacement from jjjcjjjcjcjjjjjfffj?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/10194342 and -55\/19329.\nAnswer: 173303814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - (-64)\/10. Let b(u) = o*u - 3*u + 1 + 4*u. Let r(a) = 15*a + 2. Let n = 19 + -32. Determine n*b(c) + 6*r(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8465173 or -8465134?\nAnswer: -8465134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + 2*r + 2. Let q(p) = -233*p + 3258. Let c be q(14). Let t(m) = 4*m**2 - 2*m - 2. Calculate c*x(y) - 3*t(y).\nAnswer: 4*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -24 in descending order.\nAnswer: 5, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7589459994 + 223.\nAnswer: 222.2410540006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1098 divided by -18.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 143*t**3 - 2*t + 0*t - 2 + 140*t**3 to the form g*t**3 + c + n*t**2 + s*t**4 + i*t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 3473960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100863, -101244, -101625, -102006?\nAnswer: -102387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -42*s + 41*s + 5 + 3. List the prime factors of t(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.16. Let o = -39.7 - -39.8. What is the nearest to o in f, 2\/19, -0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21844 + 23153. What is the greatest common factor of j and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062552 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/4 (b) -0.3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 3, -1 in decreasing order.\nAnswer: 13, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*w + 31 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)\/(o**(-2\/5)\/o))**(-1\/28) assuming o is positive.\nAnswer: o**(-19\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 341 + -194. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/40)\/((-2)\/104). Let k = o - 33. What is the remainder when 22 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*j + 45, -23 = -2*j + 3*j + 3*p. Is (-831)\/(-12) + 2\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+171\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**3 + 12*g - 12. Let i(l) = l**3 + 1166*l**2 + l - 1 - 1166*l**2. Suppose 0 = -2*r - 2. Give r*b(w) + 12*i(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 177*g - 184*g - 2*g**2 + 3*g**2 + 26. What are the prime factors of f(12)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 9, -4, -17, -30?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23496 divided by -33.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + -4*(sqrt(425) + -1))**2 + 1.\nAnswer: 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7801 + 32038?\nAnswer: 23137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/120 - h**5\/30 - h**4\/24 - 2*h**3\/3 + 2*h**2. Let f be t(-3). What are the prime factors of (1*3)\/(12\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9870256 divided by 11.\nAnswer: -897296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2957, 5914, 8873, 11834, 14797?\n\"Answer: a**2 + 2954*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 7251?\nAnswer: -7252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27834 + 0.2776272. Round l to 5 dps.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 2101?\nAnswer: 20ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*o + 2*o + 12, 3*u - 4*o = 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 236, -428, 2, -1 in ascending order.\nAnswer: -428, -1, 2, 5, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + (30 - (3 - (-13 + 4 + 6))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1513 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*n**3 + 2*n*w**3 - 1262*w**3 wrt n.\nAnswer: 141*n**2 + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -71.4. Let k(a) = 6*a**3 - a**2 - a + 1. Let c be k(1). What is the third smallest value in -3, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:54 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t + 42. Let l = t - 4. Let y = 100 - 30. What is the highest common factor of y and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2954 and 18.\nAnswer: 26586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r*r**4)*r*r)**(-26))**(-7\/3) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppppzzpppp?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(1\/9))\/k**9*k*(k*k**(1\/9))\/k*k*k*k*(k**7\/k*k)\/k assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((1 + -2)*-2)\/((-6)\/(-222)). Suppose c*r + 182 = 61*r. Let z(a) = -8*a**2 - 3*a + 1. Let i(d) = 40*d**2 + 14*d - 4. Give r*z(h) - 3*i(h).\nAnswer: -8*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666410 is divided by 400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/367 + -355\/734. Put -0.08, 4, g, -1\/5 in decreasing order.\nAnswer: 4, -0.08, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*h + 3947, -2*h + 886 = -3*f + 3239. Suppose 6*q + f = 3493. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048769 to five decimal places.\nAnswer: -0.00488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-90)\/(-225))\/((-6)\/(-40)*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 h when three letters picked without replacement from {w: 7, h: 9}?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)*x**18)**(-6))**(3\/2) assuming x is positive.\nAnswer: x**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3217 + 5?\nAnswer: 321c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-1 - -1) + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*k**4 - 65*g*k + 2*g + 23*k**4 + 5*k**2 wrt k?\nAnswer: 12*g*k**2 + 276*k**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 17 + 10 - 14*p - 39 + 15 to g*p**3 + d*p**4 + w*p + q + l*p**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ookooooooooooookoooo. What is prob of picking 2 o?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1084 + 1082. What is the biggest value in 8\/3, w, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-1)\/(-2)*2. Let j be 2\/7 + (-190)\/(-70). Suppose -j*p - 2*c + 1 = -0, g*p - 8 = -5*c. Which is greater: -1\/16 or p?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843 is divided by 464?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose -8*f + 4*f + 4*y + 20 = 0, m = -5*f - y + 13. Solve -f = 2*d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 v when four letters picked without replacement from {o: 1, v: 2, d: 1, y: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**3 - 261*o - 460?\nAnswer: 3*o**2 - 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 6:33 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2 (c) 0.07 (d) 2\/7 (e) -2\/11 (f) -1\/587\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 0.54. Let k = 1.5 + v. Is k smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.64 + -0.36. Which is the second biggest value? (a) x (b) 1\/3 (c) -0.06 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 divided by -151?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13701 or -13519?\nAnswer: -13519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49049215 or -49049214?\nAnswer: -49049214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 + 3*h - 7. Let j(c) = 7*c**2 + 2*c - 7. Let f(p) = -2*i(p) + 3*j(p). Differentiate f(s) wrt s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 5*z**3 + 8*z**2 - 8*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6)*-4*-9. Let c(p) = -p**2 + 48*p + 244. Let s be c(52). Calculate the highest common divisor of s and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i - 5. Let b(k) = 55*k**2. Calculate b(s(j)).\nAnswer: 9295*j**2 + 7150*j + 1375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000217397 to 7 dps.\nAnswer: 0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -4214, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/18*-2)\/(2\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28737\/84056 - -1\/4424. What is the common denominator of 87\/14 and w?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3229, 5137, 8315, 12763, 18481, 25469, 33727?\nAnswer: 43255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1235 and 988?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -831, -1666, -2497, -3330, -4171?\nAnswer: -5026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326008 is divided by 52?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 - 169. Suppose -5*u = -0*u + 265. Let j = u + k. What is the remainder when j is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 1866 + 1866. Let t(n) = 0*n**2 - 4*n**2 + n**2. Determine c(t(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.02 + -7. Let f = -1.02 + v. Let c = f - -1.03. Round c to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(14)\/sqrt(2)*5 - -1*sqrt(1764)\/sqrt(7)) + 5)**2.\nAnswer: 572*sqrt(7) + 3557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0745 from -0.026.\nAnswer: -0.1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + 90. Suppose 2*w + a = -96. Let t = 219 + w. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 0.21 (c) -0.1 (d) -1\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359008.\nAnswer: 2, 7, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 121\/5, -1.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000034232499 rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 771 - 90*s**3 - 771 + (7 - 2 - 1)*(-2*s**2 - s**3 + 2*s**2).\nAnswer: -94*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) - -1 - 1155\/(-154). Let y be (-8)\/(14\/(-4) - -3). What is the greatest common divisor of y and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -0.2, 2\/5, 4, -751?\nAnswer: -751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4080 and 59976.\nAnswer: 599760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2972561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -718876 or -718877?\nAnswer: -718877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 436801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1250*t**3 + 15*t - 16*t - 2*t**2 - 376*t**3.\nAnswer: -1626*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, o: 2, u: 1, a: 6, f: 1, k: 3}. What is prob of sequence ovk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.1, 198, -87, -3, -2, 8 in descending order.\nAnswer: 198, 8, 0.1, -0.3, -2, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 57\/((-64)\/208*(175\/(-80) - -2)). Calculate the highest common factor of f and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1247968 + 1876614. Let n = -285646 + f. Round n to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 8) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 8. Let h be (18\/(-21))\/((-2)\/(-14)). Give t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 + 0*c**2 - 14 + 12 + 3*c**2 + c = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 36 = -0. Let i = -2 + t. What is the tens digit of (-505)\/i - (-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3845454 to the power of 1\/2, to the nearest integer?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 18*k**2 - 96*k - 104 = 0. Calculate k.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - g**2 + 1. Let j be m(-2). Let t be (j\/8)\/((-4)\/(-1686)). Let d = 1423 + t. Find the common denominator of d and -3\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3415 by 683.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from coqzoosoccosqsczs.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36939614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqmqqez. Give prob of sequence qg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (112257\/(-81))\/(44\/12). Let l = p + 378. Sort 0, 0.5, l in increasing order.\nAnswer: 0, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*o - 25, -6*o + 5*r = -4*o + 14. Solve f = -o - 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c, -2*q = -q + 4*c. Let u be 1\/2*(q + -4). Suppose -o + 4 = 0, -3*y - 3*o + 97 - 22 = u. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814 is divided by 603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j + 1\/6*j**6 + 0*j**4 - 8\/5*j**5 + 0*j**3 - 59 + 26*j**2. Find the second derivative of z(l) wrt l.\nAnswer: 20*l**3 - 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 0*h**2 + 0*h**3 + 3*h**2 + 6*h**2 - 3*h**2 + 2*h + 5*h**4 to the form d + w*h**3 + t*h**2 + v*h**4 + k*h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7737*t + 636*t**2 - 193*t**2 - 20 + 7733*t wrt t?\nAnswer: 886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*5*(-36)\/(-30). Let v = -3 - -6. Suppose 70 = v*p - 2*k, 5*k + 19 + a = 0. Calculate the remainder when p is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1952, 1778 in increasing order.\nAnswer: -1, 1778, 1952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:35 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*u + 34 + 50 - 80 + (-3 + 6 - 2)*(0*u - u + 3*u).\nAnswer: 18*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -107 + 38 + -18 + 32\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 58*u + 18. Let q(y) = -2*y + 2. Let p be q(-5). Let g be n(p). What are the prime factors of 3\/(-2)*g\/(-63)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5364880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1893*z**3 - 2*z**4 - 2*z - 21*z**2 - 1893*z**3 - 2 in the form m*z**2 + x*z**4 + h + j*z**3 + c*z and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -0*k + 13*k - k. Sort -52, 5, -5, k in descending order.\nAnswer: 5, k, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -191*p**3 + 23*p**2 + 25*p + 57. What are the prime factors of v(-5)?\nAnswer: 2, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1043, 1340, 1635, 1928, 2219, 2508, 2795?\nAnswer: 3080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - (-35488)\/48. Suppose -10925 = -11*l - h. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 36*a = 38*a - 3252, -1947 = -3*f + 3*a. What is the highest common factor of f and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000412652 to 6 dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - -1*sqrt(228)*-5)\/sqrt(12) - (5 + sqrt(19)*-1 - 5*(sqrt(76))**2).\nAnswer: -3*sqrt(19) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64043*z + 1478 = 64043*z - 128098*z - 10 for z.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334478 is divided by 550.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 2*g**2. Let b be s(-1). Let y be b\/(3\/(-6)*1). Is (1*y)\/((-10)\/1655) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158955308 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 66\/54 - 2\/9. Suppose -p + 8 = -5*p. Let v be (-8)\/p - (k - 0). Solve -2*t + 10 = v*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 8*d**2 - 8*d + 11. Calculate the lowest common multiple of 18 and h(9).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j - 2870640 = -2870520 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8828*g + 1580*g + 1616*g.\nAnswer: 12024*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 178645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3043344 and 67\/190?\nAnswer: 15216720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -182, -707, -1584, -2813, -4394, -6327, -8612?\n\"Answer: -176*o**2 + 3*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 6424*b**3 - b.\nAnswer: 6424*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 175781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-12) + 7\/42*25. What is the third derivative of 639*z**i - 26*z**5 + z**2 - 639*z**4 wrt z?\nAnswer: -1560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (2 - 1 - 10). Let s(v) = v - 3. Let j(w) = 3*w - 7. What is t*s(d) + 2*j(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -31*b + 27. Calculate i(4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8 = 24. Let f = h - 10. What is the units digit of 3*3\/f - 38\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/10)\/n)\/(n*n**(6\/11)*n))\/((n*n**(-2\/5))\/((n\/(n**(5\/4)*n*n)*n)\/n)) assuming n is positive.\nAnswer: n**(-1341\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1350*x - 28 = 1336*x. Solve -9*g + 13*g - 13 = u, x*g = 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/54)\/(4\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/120 - m**5\/60 + m**4\/4 + 11*m**2. Let f be (-59)\/19 + (220\/(-76) - -3). Let v be q(f). Solve 0 = -3*s - v*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 152\/16)\/(1 - 802\/800). Solve -35 = j*l - 195*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19a85 (base 13) in base 15?\nAnswer: -ecc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11278255.8 + -236476212.2. Let r = 247754501.0000007 + y. Let s = -33 + r. Round s to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 3, a: 1}. What is prob of picking 1 t and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-14)*c\/c**12 assuming c is positive.\nAnswer: c**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 6 = 3*c. Solve c*z - 3*w = -8*w - 20, -2*w - 8 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 69 - 60 - 2*g)*(6*g**3 - 3 + 3) to the form b*g**2 + o*g**4 + u + c*g**3 + h*g and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*w**2 + 265*w**2 + 252*w**2.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 2:57 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271016767202 - 271016767202 - 12*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 4441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = 5*s + 6, -5 = -2*c + 3*s. Calculate the greatest common factor of c and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.251 - -0.049. Let m = g + -3. Do m and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:02 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*a**3 + 2266*a**2 - 5804772*a?\nAnswer: -420*a + 4532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 10 = 0. Is 42\/4*d\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*((0 + sqrt(1300))**2*5 + (sqrt(1300) - ((sqrt(1300) + 1)**2 + 5)) - (-2*6*sqrt(1300)*-1)**2).\nAnswer: -728021 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.6. Suppose t = -0*t - 5*s - 2, 6 = 3*t + 3*s. Suppose 15 = t*b - 7*b + 3*k, 3*b + 4*k - 20 = 0. What is the biggest value in 2, j, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 - 4036830\nAnswer: -4036890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 622, 27\/4, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1, -1 in decreasing order.\nAnswer: 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29932 rounded to three decimal places?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(((-15)\/18)\/((-55)\/99)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 61884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.0578 days to microseconds.\nAnswer: 15470593920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 0*f**4 + 0*f**4)*(-3*f + 0*f + 2*f - 2*f + 6*f - 3*f + (-4 + 4 - 2)*(2*f + 0*f - 3*f) - 7*f + 11 - 11 + 4 - 4 - 4*f).\nAnswer: 9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -15 - 29. Solve -t - 5 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1981\/888513 + -126\/1817. Calculate the common denominator of z and 88\/15.\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/15 - 8*a**2\/15 + 2*a\/15 + 4\/5 = 0. What is a?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11502, 20832, 30164, 39498?\n\"Answer: o**2 + 9327*o + 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 + 3*f**2 - 3*f**2 + 2*f**2 + 4*f to the form u + q*f + h*f**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -13*m**5\/60 + m**4\/6 + 2*m**3\/3 - m**2. Let y = -408284 + 408291. Let v(z) = -25*z**2 + 7*z + 7. What is y*p(c) - 4*v(c)?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3619, -7255, -10897, -14545?\nAnswer: -18199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 10. Let p be k(3). Suppose p*m - 6 = 8. Solve 20 = 4*l - m*i, l - 5*i = -4*l + 30 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9038 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 2. Let s be (t\/6)\/((-4)\/78). Let y = -5 - s. Solve -3 = l - y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3424670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - b + 3. Let w be f(0). Let v be w\/(-6)*8\/(-1). Suppose 0 = 5*t + v*i + i - 50, 3*t - 32 = -2*i. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 741430 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 5. Let g(w) = 7587*w. Determine c(g(p)).\nAnswer: -172687707*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let k(w) = -w**3 - 3*w**2. Let y be k(z). Suppose -5*x + y*x = -35000. What is x rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14987*0.22.\nAnswer: -3297.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000584100187 to seven decimal places.\nAnswer: -0.0005841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*h + 23. Let l be h*((-24)\/(-84) - (-138)\/56). Is 18 + -1 + l + -15 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b01b (base 12) to base 8.\nAnswer: 236527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91529651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 140 = 4*o. Let r = o + -17. Suppose -5*l = -l - r. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14300 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28543, -2, 3 in ascending order.\nAnswer: -2, 3, 28543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -400.32 rounded to 0 dps?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 11*m**2 + 7. Let h be x(11). Let b(f) = -f**3 + 12*f**2 + 7*f + 13. Is b(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r + 97. Give v(-11).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z - 7. Let c(y) = 3*y - 6. Let p = -6 - -10. Suppose -2*v - 4*u = -24, v + v = u + p. Determine v*h(r) - 5*c(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - l**2. Let d(c) be the first derivative of -11*c**4\/4 - 3*c**3 - 666. Calculate -4*d(a) + 36*v(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9185 (base 14) to base 5\nAnswer: -1300014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*i = 123*i - 4*a + 14, 5*i + 17 = 3*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 321*w - 25670.\nAnswer: -(w + 151)*(w + 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -86393 minus -145?\nAnswer: -86248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*g - 100*g - 4*n = 38, 0 = 2*g - 5*n - 41 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42160761 to the power of 1\/2, to the nearest integer?\nAnswer: 6493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (427*s + 187*s + 364*s)*(0*s**3 - 4*s**3 - 3*s**3) as a*s**4 + u*s**3 + z*s**2 + h*s + o and give a.\nAnswer: -6846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(135\/(-264)) - 8\/(-36). Let p = 8 - 8. Suppose 3*l - 6*l = -6. Solve -l*i + t = -p*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 15*t**2 - 138*t - 489. Calculate l(-6).\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6947*j + 6947*j + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 0*o**2 + 2*o**2 - o**3 + (o**2 + 2*o**2 - o**2)*(5*o + 5*o - 2*o) as l*o**3 + s + i*o + c*o**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5702116 divided by 1425529?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let y(n) = -n - 11. Let t(x) = 2*u(x) + y(x). What is the first derivative of t(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/3, 42, 3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*b - 16 = 0, a + 0*b - 2*b = -4. Let i = -101 - -98. Put 0, i, a in descending order.\nAnswer: a, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32427 - -12200. List the prime factors of a.\nAnswer: 11, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.737376 and -2.\nAnswer: 1.474752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/1*-1*((-4350)\/(-203) + -15).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 0*v - 6*v + 8*v - 35 = -2*s - 3*v, 5*s - 4*v = -41 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 5.01. What is the smallest value in t, -1\/3, 3\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amhmhamfmfmf. What is prob of sequence hfm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3\/7 + 16*v**2\/7 - 26*v\/7 + 12\/7 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109491139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*n - 4*n + n**4 - 11*n**3 + 9*n**3 + 4*n**2 - 1 - 3*n**2 to the form u*n + g*n**2 + v*n**3 + h + x*n**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:46 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5\/11 + 15302*u**4\/11 + 29261246*u**3\/11 - 29291854*u**2\/11 - 29261248*u\/11 + 29276552\/11 = 0?\nAnswer: -3826, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -196*h**3 - 20*h**2 + 45*h + 92. Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 + 52\/16. Let i be (-2)\/(1 + (-1)\/a). Let v be (-2 - i - 2)\/(-1). Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968215561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 24*y**2 - 53*y + 48. Let x be z(-14). Solve x*c - 1098 = -1110 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -760\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwdc when four letters picked without replacement from {n: 2, c: 2, w: 1, d: 1, e: 4}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62932 is divided by 358?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 5 (b) 58219 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1390, 2788, 4190, 5596?\nAnswer: 7006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -75, -6, 6, 32.9, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 = -26*k + 32*k. What is the greatest common factor of k and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136789\/69648 - 22\/1451. Calculate the common denominator of (-600)\/(-64) + (0 - -2) and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 3. Let m be r(0). Suppose 5*f + m = -22. Let d = 150 + -152. What is the nearest to d in 0.3, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (108\/(-27))\/(1156\/1164 + -1) and 3977.\nAnswer: 23862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*k - 10, -4*o - k + 3 = 0. Suppose 0 = 5*g + i - 6*i - 435, -o*g = -4*i - 168. Calculate the remainder when g is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 9*v + 2. Let i be c(9). Let f be 21\/9 + i\/3. Calculate the greatest common factor of 15 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 1212*i**5\/5 + 956*i + 751. Find the first derivative of x(z) wrt z.\nAnswer: 4848*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (-3 + -1 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99442 is divided by 49641.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, -1, -4 in increasing order.\nAnswer: -4, -1, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*j + 6 = -16, 0 = 5*m + 2*j + 40. Let p be m\/(-14)*(-4)\/6. Let i be -5 + 4 + 3 - (2 - 7). Put i, p, -0.5 in ascending order.\nAnswer: -0.5, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 13. Let b(s) be the second derivative of -s**5\/20 - s**3\/2 + 7*s. Let x(r) = r**3 + 5*r. Calculate q*b(c) + 3*x(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/15)\/c**(-7))\/(c\/(c\/((c**(-2\/29)\/c*c)\/c))*c\/(c\/((c\/(c*c\/(c**(2\/21)\/c))*c)\/c))))\/((c**(-9)\/c**(1\/2))\/(c**5\/(c**(-2)\/c))) assuming c is positive.\nAnswer: c**(55501\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1704725176.\nAnswer: 2, 7, 11, 2767411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 806878*n**2 + 3 - 806877*n**2 - 228*n = 0. What is n?\nAnswer: 0, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -51a5?\nAnswer: -51a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-25)*h)\/h*h)\/h**(-16) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 2}. What is prob of picking 3 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*n - 6574283 - 3572360 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + 0.6. Let r = 9 - 35\/4. Which is the biggest value? (a) r (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2649 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 7. Let o be d(12). Factor 135*c**3 + o*c + 8 + 22*c**4 + 84*c**2 + 39*c - 67*c**3 - 2*c**4.\nAnswer: 4*(c + 1)**3*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592*(-35)\/700*25\/20.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 14*l**2 + 38*l - 68. Give c(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47460090 a multiple of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -6156.4 and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0758786288 rounded to 5 dps?\nAnswer: 0.07588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 58845856 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: (-24)\/63*(-150)\/((-267000)\/623)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q - 68. Let g be y(8). Solve j + g = 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1)\/(-2 + 1). Suppose 9*c - 413 - 145 = i. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -4466682624.1.\nAnswer: -4466682628.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 4*x - 2*x)*(-2 - 3 + 7 + (-3 + 2 + 3)*(2 - 3 - 3))*(2 - 5 - 1).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 36054\/16663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maamaraaraaaaaaamar. Give prob of picking 1 m and 1 r.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 11*d**2 + 2*d + 11. Let l be c(-11). Let a(z) = -z**3 - 11*z**2 + z + 13. Let s be a(l). Suppose 0 = -s*v + 22 + 14. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1.11838658.\nAnswer: -0.88161342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/47)\/(z**(-3\/2)*z)*z\/(z**(-19)*z)*z**(-5) assuming z is positive.\nAnswer: z**(1367\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.417944 minus 4?\nAnswer: -3.582056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 4*x**5\/5 + 4*x**4 - 8*x**3\/3 - 24*x**2 + 36*x + 4. Suppose h(j) = 0. Calculate j.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*j - 150. Let a be -2*(j\/(-10) - -1). Factor -7*u - 8*u**2 - 8*u + a*u**2.\nAnswer: -5*u*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/18 and 89\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**2 - 5\/36*n**4 + 1\/9*n**3 + 6*n - 1\/30*n**5 + 0 + 1\/18*n**6. Solve b(i) = 0 for i.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.006 - -0.506. Which is the smallest value? (a) 0.3 (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28414876)\/(-180) + (-66)\/55 - (-2)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-6)\/42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 28. Calculate the greatest common divisor of 24 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19079 and -292.\nAnswer: 55.71068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**16\/s*s\/s**(-5) assuming s is positive.\nAnswer: s**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/20 - 7*n**2. Let a(q) = q. Determine p(a(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1 - (24 + -23)) + 12 - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwyayygaaaaag. What is prob of sequence yaag?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/12250 and 53\/31010?\nAnswer: 5426750","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 95979.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.708801 millimeters in centimeters?\nAnswer: 0.1708801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4*j + 8 = 0. Is j + 2520\/4 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366151976?\nAnswer: 2, 41, 1116317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 - (0 - 0 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.19. Let i = -0.19 - j. Sort 2\/17, i, 3.\nAnswer: i, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(88\/(-22)*15\/36))\/99*12?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/904 and 73\/547824.\nAnswer: 547824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(76)*-2 + -1 + -2)**2.\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4.1. Let k = -18.1 - t. Let f = k - -10.4. Round f to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 68139.\nAnswer: 68139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8870478 is divided by 1041.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 18*g**2 - 5*g + 213. Let b(y) = 8*y**2 - 2*y + 105. What is -5*b(z) + 2*r(z)?\nAnswer: -4*z**2 - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16345560 (base 7) in base 2?\nAnswer: -110000100100010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 494 + -230. Let p = v - 257. Let s(i) = i - 16. Calculate s(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o + 5*s = 24, 2*s - 8 = 0. Suppose o*y = 0, -5*y - 6 - 2 = -2*g. Suppose -g*n + 1413 = 5*n. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 21*i**2 + 102*i + 61. What is the thousands digit of z(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 9) to base 15.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600592?\nAnswer: 2, 7, 31, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55541 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 5*c - 3. Suppose 4*w = 9 - 29. Determine s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -18. Are -2 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 10*t - 3*u + 63 = -15*t, 5*t = 3*u - 75 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 1. Let s(q) = -8 + 4 + 8 - 10. Give 6*d(z) - s(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12 - 37 - 9*l + l**2 + 15. Calculate the lowest common multiple of 1 and p(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.1 + -22. Let q = j + 4. Let s(b) = -4*b - 46. Let l be s(-11). Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -226307.47.\nAnswer: -678922.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 45*b**4 + 175*b + 2. Let r(a) = -a. Calculate r(y(g)).\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.6 - -11.57. Let k = 0.03 + p. Let j = -48\/413 + -10\/59. What is the smallest value in 1, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 58.10458mm?\nAnswer: 0.00005810458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 - 151199504*h\/9 - 100799672\/3.\nAnswer: 2*(h - 75599754)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*12\/(-46)*56\/42.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - ac61?\nAnswer: -ac67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.61 * 143174.\nAnswer: -4239382.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r. Let v be q(-1). What is the second derivative of -8 + 6*a + 2 - 366*a**v + 2*a**3 + 356*a**2 wrt a?\nAnswer: 12*a - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58592799703 from 0.2.\nAnswer: -58592799702.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10*o = -115. Let p = o + -21. Suppose -6*r + p*r + 60 = 0. Calculate the remainder when 59 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 2. Suppose -3*p = -2*p - i. Suppose o + 22 = 3*a, -3*a + 2*a - p*o = -2. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*h**4 + 19*h**4 + 24*h**4 + 33*h**3 + (-2*h**2 + h**2 - h**2)*(-2*h**2 - 4*h**2 + 4*h**2).\nAnswer: 2*h**4 + 33*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5006523.\nAnswer: 3, 587, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -p - 17 + 5, 14 = 3*h - 2*p. Solve h*n - 20 = 6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(81\/243)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 18*i**2 + 36*i - 39. Let x be m(16). Calculate the greatest common factor of 15 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221021 - -21100112?\nAnswer: 2102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k - 8*k - 7*k)*(17 + 24 - 8)*(-58*k**4 - 57*k**4 + 113*k**4 + 3*k).\nAnswer: -132*k**5 + 198*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:32 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911.1103 litres to millilitres.\nAnswer: 911110.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/74145687 and 52\/28919.\nAnswer: 815602557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.2 (c) -5 (d) 0 (e) 283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 3*l - 737. Calculate the remainder when 319 is divided by t(30).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l**4 + 7*l**4 + 9*l**4)*(-3*l + 2 - 2 + (0*l - 2*l - l)*(-2 + 4 - 4) + l + 0*l - 2*l + 0*l - l + 0*l).\nAnswer: 25*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/3, 4, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315777037 to the power of 1\/2, to the nearest integer?\nAnswer: 17770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -8. Let g be (2\/2)\/(a\/12). Let s(k) = k**3 + 4*k**2 - k - 2. What is the units digit of s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44992 and 7733?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let m(i) = 13*i - 118. Let t be 12*8\/72*6. Let d be m(t). Let k(l) = 6*l - 11. Give d*g(q) - 2*k(q).\nAnswer: 2*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 10, -4 in ascending order.\nAnswer: -4, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 129617851613?\nAnswer: -129617851612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 536*x - 5715. What is i(11)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83820317 - -2.37.\nAnswer: 83820319.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 288771?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2232292 - -34096894.\nAnswer: 36329186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Let v(d) = 10*d. Let x be v(j). Does 12 divide ((-36)\/(-16))\/(3\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l - 184. What is q(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11 - -2) + -30 - -30) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4 - 15*f - 2*f**2 + 36*f - 17*f - 13*f + f**2. What is r(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122.071001 + -0.132601. Let h = 122 - x. Round h to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/33))**1*w*w**4\/w*w*w*w**(2\/5)*w assuming w is positive.\nAnswer: w**(1211\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-18) - (-1550)\/225. Let a = -5 + 10. Suppose 0 = -i*z + a*z + 48. What is the highest common factor of 96 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h = -w, -12 = 2*h + 4*w. Let o = 20.9 + 0.1. Let p = o + -25. Which is the second smallest value? (a) h (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 + 25*q - 61)*(-2 - 1 + 5)*(2*q**3 + q**3 - 876*q + 877*q - 12*q**3) in the form d*q**2 + y*q**3 + c*q**4 + x + f*q and give c.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 187*j**3 + 0*j**4 + 185*j**3 + 2*j**4 to the form l*j**4 + n*j**2 + c*j + o + z*j**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 - (-34 - (30 - 72)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(3072) + 2)**2 - ((-5*(sqrt(63)\/sqrt(3) + sqrt(21)))\/sqrt(7))**2*3)*-3.\nAnswer: -329088 - 2304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20660.68 litres?\nAnswer: 20660680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 85 + 4 - -39?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/33110 and -97\/51975?\nAnswer: 4469850","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 5*l**2 + l - 2. Let t be k(-4). Solve 0*i + t = 4*s + i, -2*s = -i - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 132\/55*(-5)\/(-2). Let d(a) = -a**2 + 4*a + 3. Determine d(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104101340 (base 5) to base 4.\nAnswer: 1233130112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**2 + 51. Does 14 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.149 + 5.851. Are h and 0.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -15*d + 231. Calculate x(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 - v**2 - 3*v**2)*(-22*v - 21*v + 35*v)*(344*v - 360*v + 2*v**2 - v**2).\nAnswer: -16*v**5 + 256*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + c?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let j be u(-5). Let i(f) = j*f**2 - 2*f**2 - 2*f**2 - 2*f**2. Let m(q) = -2*q. Determine m(i(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -52)*(48\/(-9) - 1). What is the tens digit of (-24)\/(2 + -6) - j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/80 + 11\/16. What is the second smallest value in 345, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55852 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -2866671*p**4\/4 + 13*p**3\/3 + 15*p**2. Let n be q(1). Round n to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/33)\/y)\/y)**19)**8 assuming y is positive.\nAnswer: y**(-10336\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/24 - 5*k**3\/6 - 49*k**2. Calculate h(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*x + 5, -13*g - 3*x - 3 = -9*g. Which is smaller: g or -4\/71?\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/16 and 27\/10038488?\nAnswer: 20076976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*f + 25 = 0, 4 = -0*v - 2*v - 5*f. Let s(c) = -c**2 + c + 3. Let q be s(v). Let w(h) = -4*h - 4. What is the units digit of w(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*a**5*j**3 + 294*a**4*j**3 + 12*a**2*j**3 - 2077*a**2*j wrt a.\nAnswer: -1200*a**2*j**3 + 7056*a*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/31, 52, -0.5, 1\/5 in descending order.\nAnswer: 52, 1\/5, -6\/31, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -1859, -6224, -14727, -28748, -49667, -78864, -117719?\nAnswer: -167612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgg when three letters picked without replacement from {p: 7, g: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3\/3 - 16*a**2 - 256*a + 8. Factor m(t).\nAnswer: -(t + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6732 + 47169\/7. Suppose -4*g + 3 = -j, 2*j - 3*g - 2 = g. Suppose 38 = 2*v - j*p + 1, -3*p - 27 = -2*v. Which is bigger: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:45 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-11 + -11 + 9 + 4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(-39*(-240)\/3744)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/12 - 3*h**2\/2 + 6*h. Find the first derivative of p(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5639 + 5657 = 4*b, 2*b + 2 = 4*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/(1 - 2). Let w = -2 + c. Let b(m) = -5*m - 1. Give b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.3 + -11.9. Let x = w + -0.8. Let q = x - -45.3. What is the second biggest value in 7, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13930740367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985445675 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -0.0526\nAnswer: 44.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1771 divide 1176999255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9315102, -9315101, -9315098, -9315093, -9315086, -9315077?\n\"Answer: m**2 - 2*m - 9315101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 88\/9 - (-2)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 5*x + 41, x - 9 = s - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**7)\/l)\/(l\/(l\/(l**1\/l)))*l\/((l**(-5\/6)\/l*l)\/l)*(l\/(l\/l**(-2\/21)))\/l*l assuming l is positive.\nAnswer: l**(409\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122695\/18 + -6821. Find the common denominator of 80\/(-15) - (-2)\/(-16) and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3364 - 1419 = 5*c. Let r = 556 - c. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10154809 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**3\/3 - 7*s. Let r(c) = 33*c**2. Determine r(b(q)).\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4350 (base 7) in base 10?\nAnswer: -1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -595 - -663. What is the remainder when o is divided by (-74)\/(-6) - -1 - 4\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 10*r + 11. Let d be u(-9). Suppose d*k - 42 = -12. Calculate the remainder when 42 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g + 66. Let v be l(8). Let n be v\/14 - 44\/(-462). Is -2\/5 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-3) - (-4)\/((-1232)\/(-636)) and 101\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1751 divide 4929409947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.175235 rounded to 1 dp?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26023264 is divided by 8230.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -5.02.\nAnswer: 15.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 409 - 292. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 513, 767, 1019, 1269?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -1481\/11?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-29 + 19 - -51)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -294 - -393.7. Let f = -102.7 + h. What is the closest to f in 2\/15, 2\/11, -30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212976 and 6048?\nAnswer: 2981664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 463 - 463.000226. Round t to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 2\/15 (c) 105090 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -0.803?\nAnswer: -4.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 15, l: 5}. What is prob of sequence olol?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -6. Let l = 48 - 48. What is the closest to -4 in 3, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 12274968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31643*g**3 + 133*g**2 - 7*g - 60439 wrt g.\nAnswer: -189858*g + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.169009?\nAnswer: 0.0676036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*o + 516, -558 = -3*o - 5*q - 0*q. Calculate the greatest common factor of o and 2486.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -744*q**5 + 17*q**2 + 17155*q + 2 wrt q?\nAnswer: -14880*q**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 4. Let p be s(3). Let u = 23 + p. Suppose -4 + u = 2*n. Calculate the highest common divisor of n and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 683 - 686.77. Round x to one decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 - 18784*g + 299520 = 0.\nAnswer: 16, 4680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 370\/(-6)*(-4299)\/(-14330)?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from uyjjuijzjjiiajjiuiii.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -163404 divided by 81702\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13477 + -7640. What are the prime factors of w?\nAnswer: 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2. Let v(g) = 6*g + 7*g - 19*g + 0*g. What is r(v(t))?\nAnswer: -252*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = -4*r + 3*r, 3*r + 15*j + 9 = 0. Solve n + o = 3 - 5, 12 = 2*n - r*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1428340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*-4*sqrt(117))\/(-1*sqrt(225) - (-6*sqrt(81) + sqrt(9) + sqrt(9))).\nAnswer: 24*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 8*z - 5. Let j be g(-9). Suppose j*i = -3*c - 38, i = -4*c + 2*c - 22. List the prime factors of (92\/5)\/((-4)\/c).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 97*q**2. Let h(c) = -6*c. Give h(o(i)).\nAnswer: -582*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -17. Does 4 divide 535\/25 + j\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.1 (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 + -199 - (3 + -2 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131494*f - 51495.\nAnswer: -131494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19469 (base 10) to base 12.\nAnswer: b325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -y + 3*y - 4, -2*q + 10 = -2*y. Let i(n) be the second derivative of -n**4\/12 + n**3\/6 - n. Give i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260388.6198 to the nearest one hundred.\nAnswer: 260400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*g - 241 = 26 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 3*k + 14*k - 3*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13023?\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 20 = -5*s, 3*s - 20 = 8*s - 5*w. Suppose 0 = -0*n + n + 2. Suppose 5*a - 4*v - 8 = 8, 0 = -3*v + 3. Sort a, n, s in decreasing order.\nAnswer: a, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 79. Let m = g - 22. Let w = -33 + m. Calculate the remainder when 18 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 457504 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l - 154*l = -59*l. What is the third smallest value in 722, l, -2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kdddddddkdkdkd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020 - -21012021012?\nAnswer: 21012102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.7 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0583*4.\nAnswer: -0.2332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 3*i**2 + 135 - 135.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let z be f*3\/(3\/11). Let d = 21 - z. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 3*h + 3. Let d(n) = n**2 - n + 1. Let t(a) = 3*d(a) - s(a). Let i(r) = -r + 8. Let y be i(6). Let f(q) = y*q + 0*q - 4*q. Calculate f(t(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)\/f*f)**(-17\/6)\/(f\/(f*f**1))**(-20))**(4\/15) assuming f is positive.\nAnswer: f**(-652\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -685843 (base 10) to base 14\nAnswer: -13bd2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2.82, 4 in descending order.\nAnswer: 4, 2.82, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 + 2*m + 149. Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*i - 1)*(i**4 - 10*i**4 + i**4)*(-2 + 0 + 3)*(19 - 2 + 19).\nAnswer: 864*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5400*d - 2687*d - 2702*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -822296 - 218*s**3 + 6050*s - 2*s**4 - 2844*s**2 + 822296 - 2986*s**2.\nAnswer: -2*s*(s - 1)*(s + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23609402095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 4, k: 1, e: 2, x: 1}. What is prob of sequence ek?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 174. Is l < 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7591 a factor of 1853338329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)\/(((((j*j**2)\/j)\/j)\/j)\/j*j)*(j**1*j)**(-4\/19))**(-26\/3))**(10\/7) assuming j is positive.\nAnswer: j**(31720\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*n - 217, -3*w = -21*n + 20*n + 59. What is the remainder when 378 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -704\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, 26, -7, -21 in decreasing order.\nAnswer: 26, 5, 0.5, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11874138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljpoejc. Give prob of sequence co.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((-39 - -54) + (1 - 21)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9802.723 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n - 61 = -24*n - 61 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 803 = -p - 1117. Let g = -10 + 34. Calculate the greatest common factor of g and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/(11 + 1 + 232\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*z - 57*z + 140*z**3 + 224*z**3.\nAnswer: 364*z**3 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49888, -49899, -49908, -49915?\n\"Answer: p**2 - 14*p - 49875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*r - n - 4971, 4*r - 5*n = 3981. List the prime factors of r.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - j - 28. Let k be l(-7). Let g = 426 + k. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 37 = 3*m - 272, 0 = -4*m. Let w = 107 - a. Suppose 15 = w*b - b. Solve 0*g - 12 = 4*g + b*y, -3*y - 12 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7141523.5 and 0.422.\nAnswer: 7141523.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(1\/(-4))\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.4 + 14.43. Let y = -3.2 - 2.3. Let u = y + 5. What is the second biggest value in w, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4745)\/2847*18\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*p**2 - 2732 + 18*p**2 - 11*p**2 - 34*p**5 + 2732 - 4*p**4 wrt p?\nAnswer: -2040*p**2 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 158. Let v = -248 + t. Is v\/(-4)*(1 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1180848878*l*y + 422597511*y - 2 with respect to l.\nAnswer: -1180848878*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9277 + -9277.4. What is the closest to 73 in -4, n, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.2 + 40. Put -1, 3, n in ascending order.\nAnswer: -1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3\/9) - 3. Suppose 18*w - 21*w = u. Let w*o + 0 - 2\/3*o**2 = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -24. Let l(c) = 3*c - 6. What is the least common multiple of 18 and l(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 353\/115139 or -1?\nAnswer: 353\/115139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**7)\/(r\/(r\/(r**(1\/15)*r))*r))**17)**(-16\/3) assuming r is positive.\nAnswer: r**(-24208\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z = -4. Sort z, -11, -3.\nAnswer: -11, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -436753*c**3*o + 231*c**2*o + 4807*o wrt c?\nAnswer: -2620518*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.033178 + -1317.539178. Let d = c - -1332.50647. Let g = -15 + d. What is g rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(85))\/sqrt(5) - sqrt(119)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:00 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103127 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3846\/(-4487) + (-6)\/4*(-2422)\/(-49)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -28400 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/15 + (-1)\/(-3). Let d be g + 1 + 1 + -86. Is (0 + d)*(3 + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1037 - -1037. Which is smaller: b or 2\/1469?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2949 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o + 0*o + (5 - 1 - 3)*(0*o - 4*o + 2*o))*(5 - 1 - 1).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 4*f + 17*f - 7*f - 238 - 9*f to o*f + r and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-7) + 5 - 11\/((-187)\/(-510)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.58, -0.5, -2, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -458*k**3*x + 2*k + 91*x - 3 wrt k.\nAnswer: -2748*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2123000 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = -4*m, 0*n + 2 = -3*m - n. Let a(h) = 3*h + 1. Let f be a(m). Let s be -6*-1*(0 - f). Let w(x) = -x**3 - 5*x**2 + 8*x + 7. Calculate w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sffffsffef. What is prob of picking 1 f and 2 s?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -543*j - 24992. Give s(-46).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*v - 26992 = -586*v. Solve 124*z = 110*z - v for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 5*g**4\/4 + 2*g**3\/3 + 2*g**2 - g + 2. Let q be f(3). Is q\/8 - (-6)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1, 1\/7, -1\/4 in ascending order.\nAnswer: -1, -1\/4, 1\/7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (150\/(-8))\/((-42)\/112) is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1120 and ((-339)\/2520)\/((1\/5)\/(6\/(-15)))?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 26*t**2 + 2*t + 2. Let o(z) = -183*z**2 - 15*z - 15. Let j(k) = -15*i(k) - 2*o(k). Let b(s) = s**2. Calculate j(b(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j - 2. Let l be (-1)\/(-3) + 246\/(-9). Let u = -20 - l. Is m(u) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69261067453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n - 120 - 192 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 20*n - 138 = 0, 0 = 4*b + 4*n - 2624 + 2568 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 2*v + 3*l, -127*l + 120*l = 28 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55116 divided by 19.\nAnswer: 55116\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 775702 and 12?\nAnswer: 4654212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254 by -2.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*u**5 + 2*u**3 - 9737*u**2 + 218447*u wrt u?\nAnswer: 120*u**3 + 12*u - 19474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 18}. What is prob of sequence dg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*(-3)\/4*(-41808)\/(53868\/268)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5\/2 + 93*d**4\/2 - 63*d**3\/2 - 777*d**2\/2 - 489*d - 180 = 0.\nAnswer: -1, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*u**4 + 133*u**2.\nAnswer: 3480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 10*k - 18. Let v be g(-6). Which is smaller: 100\/17 or v?\nAnswer: 100\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 6*a**2 + 6*a - 43. Let k be u(6). Find the first derivative of k*y + 19 - 1043*y + 136 wrt y.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 28 = -7*g. Is 13 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-264610.\nAnswer: 79383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 8 = 5*s + w, -4*s = -4*w - 24. Do s and 6 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3278583 from 0.03.\nAnswer: -3278582.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 4*n - 8. Calculate i(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 588*l + 3383. What is r(-21)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21120 is divided by 248.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.05 - -1.35. Let p = 12.9385 - 0.0185. Let t = a + p. Round t to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 6, n: 2, g: 5, h: 1}. Give prob of sequence hgz.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 32\/3 - 1\/2*s**3 + 91\/6*s**2 = 0 for s.\nAnswer: -2, 1\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -108, -5 in descending order.\nAnswer: 38, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - 1*sqrt(192))*-2 - (sqrt(192) - (1*sqrt(192)*-1 - sqrt(192))))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 89846 - 89846.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 4*f**2 - 15*f - 16. Calculate g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**3\/3 - 6. Let k(c) = -7*c. Determine q(k(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0298? (a) -0.07 (b) 0.5 (c) 8.93 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 + 6*t - 16. Let a be h(-5). Let v(r) = -r + 3. Let s be v(3). Solve 5*p = -i + 17, -p = -s*p - a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 18792 = -9*z. Calculate the common denominator of -28\/9 and z\/(-3465) - 4\/(-14).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 20 = 0. Suppose -c*t - 5 - 6 = 5*m, 4*t + 20 = 4*m. Suppose 4*d - m = 19. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9268250631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 34 = 29*u. Let x = -8 - 1. Is (1 - 28*x)*u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89052 and 3396?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -106. Suppose -b*p = -24*p - 72. Solve -p = 8*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - a = -0*a + 14, -5*a = -5*v + 10. Suppose 2*g = 4*l - 3 - 9, 5*g + v*l - 9 = 0. Let z be 1*(-2)\/4*-1. Are g and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.40681 or 15?\nAnswer: 0.40681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000168771902 rounded to seven dps?\nAnswer: 0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -508*n + 11662. Determine w(23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 8*x**2 + 9*x - 15. Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 17 - 8. Suppose 7*w - 4*w + 19 = 4*x, 5*x = -s*w + 15. Solve y + x*j + 4 = 12, -4*y - j = -17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2387802350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 6*n - 8. Calculate p(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 + 2692*g**2 - 21344*g + 42560 = 0.\nAnswer: 4, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1561.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(76) + sqrt(76)*-2)**2 + 4.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9664 = 9*g + 36880. Calculate the common denominator of 13\/16 and -1 + (-20312)\/g - 6.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 325332*u - 325332*u - 1097*u**2 - 12599*u**2 - 7572*u**2 to s*u + y*u**2 + l and give y.\nAnswer: -21268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Let n(x) = -x**2 + 3*x + 4. Let s be n(3). Suppose -g + 7 = s. Solve g*i = -4*h + 5, -f*i + 0*h - 20 = -h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - k**3 - 116 + 115 - 2*k + 4*k to the form j + i*k + a*k**2 + h*k**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(2\/(-16)). Let m be (5 + (-2 - 5))*(18 - (24 - 4)). Sort 3, m, z, 2.\nAnswer: z, 2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba5c (base 13) in base 11?\nAnswer: 37a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(6\/(-54))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -46*o - 2*o**2 - 123 - 97 + 291 - 111. Let b be f(-22). Suppose 0*a = 4*a - 64. What is the highest common factor of a and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25960 and 197032?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {f: 2, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:04 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 339211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -3645.34084?\nAnswer: -3645.64084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/492450 and 131\/5880.\nAnswer: 1969800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71.16100104 from 3.\nAnswer: -68.16100104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + 1165116?\nAnswer: 1165116.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 82*h**2 + 77*h + 301. Let q be p(42). Sort -96, q, 0 in ascending order.\nAnswer: -96, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 12 + 12)*(-m + 0*m + 0*m)*(-15 + 0 - 37).\nAnswer: -52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5363673, 10727405, 16091137, 21454869?\n\"Answer: 5363732*h - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3171)\/(-84) - 37)\/(38\/(-4)*17\/34)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m = 15*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 0*f**2 + f**2)*(3 + 75*f + 14*f**2 - 4 - 54*f).\nAnswer: -28*f**4 - 42*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 11*x**4\/12 + 11*x**3\/6 - 15161*x**2. Let q(c) = c. Calculate l(q(k)).\nAnswer: 22*k + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/900 and 197\/1650?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2436*2\nAnswer: -4872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1309 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 7*u**2 - u. Suppose x - 2*p - 3*p = -13, 5*x - 19 = 4*p. Let i be y(x). Let g = i + 10. Solve -g*m - w = 1, 25 = 2*w + 3*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438955426 a multiple of 9919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4170d - 1?\nAnswer: 4170c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29339934 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:11 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2 - 246*q = 0. Calculate q.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 16393 (c) 4 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/7 + 269\/56. Let w = -19\/118 + 719\/1534. Sort w, -2\/17, y in decreasing order.\nAnswer: y, w, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + i = -6, 0*l + 8 = 5*l - i. Let u be (-9 + 8)*(-1 - l). Let s be u\/7 - (-1595)\/77. Solve -2*w + 24 = -4*w + 4*k, -2*w - 5*k + s = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/49 - 25\/(-21).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 19224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 17\/3)*6\/4. What are the prime factors of i*1269\/18*3\/(-2)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than -123635?\nAnswer: -123648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/5166 and 55\/5166.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 + 31.5. Let b = 5 + k. Let q = 38.9 - b. Which is bigger: q or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 540 + -539. Solve 10*q + i = -39 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 8*b**2 - 4*b + 1. Let q(r) = r**2 - r. Calculate -o(a) + 4*q(a).\nAnswer: -2*a**3 - 4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/104*1*10.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443, 448, 465, 500, 559, 648, 773?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/15)\/(w*w**(2\/17)))**(-6\/17))**(3\/20) assuming w is positive.\nAnswer: w**(402\/7225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 r when three letters picked without replacement from {k: 2, r: 2, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i - 55 = 17*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208706 and 433.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3009 + 881 = 304*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**2 - 30*k + 395*k**5 + 1319*k**5 + 44*k wrt k.\nAnswer: 102840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2374 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -3125 and -3113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26140 + -156839\/6. Let h(w) be the second derivative of -j*w**3 - 1\/4*w**4 + 15\/2*w**2 + 1\/20*w**5 + 1 - 32*w. Find the second derivative of h(z) wrt z.\nAnswer: 6*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - -41)\/(-6) - -4. Calculate the common denominator of (-8449)\/(-6256) - m\/46 and -7\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1323*m = -1011*m + 6864 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a factor of 1034569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 186. Let a(j) = -4*j + 188. Let c(d) = 4*a(d) + 5*n(d). Let h(g) = g**2. Calculate h(c(b)).\nAnswer: b**2 + 356*b + 31684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -24979\/9, -2\/5, -5.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 155880.412 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/6, 0.2, 6, 3\/5 in decreasing order.\nAnswer: 6, 3\/5, 0.2, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517939 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/7 + 627*d + 88980\/7.\nAnswer: -3*(d - 1483)*(d + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/19)*z**(-2\/59)\/z assuming z is positive.\nAnswer: z**(-1041\/1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15614195\/26608 + 9389\/16. Let f = -91951\/44901 - w. Calculate the common denominator of -73\/27 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fea when three letters picked without replacement from alaafeelallaaeafa?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672234 by -672234.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q. Let t = 2 - q. Let n(z) = 2 - 2 + t*z + 0. Let g(d) = -5*d. Determine g(n(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*q, 392*j - 6 = -4*q + 389*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 261009460 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 1:15 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 + 2460?\nAnswer: 2828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6958 - 6957. Is 3\/716 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1942.568 - 1938. What is d rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g - 16. Let o be d(5). Solve -o*n = -4 - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1823, -1669, -1439, -1109, -655, -53, 721, 1691?\nAnswer: 2881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.7 - 158.7. Let j = -148.6 - l. Round j to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -15*d**3 - 410*d**2 + 715*d - 290 = 0.\nAnswer: -29, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3618852?\nAnswer: 2, 3, 29, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-3) + (-6)\/(-9). Suppose o*x = f + 22, 5*x - 34 = -2*f + f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27572502.\nAnswer: 2, 3, 257, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 106 = -34. Suppose -4*p + j = -14. Suppose -3*a + 0*a = -p. Solve 5*n - 29 = r, -2*r - 6 = -n + a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/110 and -34\/143.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -157.\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103\/70 - 1\/35. Which is the second biggest value? (a) 1\/4 (b) o (c) 15 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2559 = -h + 2532, 24 = 3*h + h for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -383*n + 3360. Is w(-47) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + 9149\/280*-2. Let t = 1583\/24 + w. What is the common denominator of t and 31\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 5*h + 104.\nAnswer: -(h - 13)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -3c?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -2\/51 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159195497 to the nearest integer?\nAnswer: 12617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -41. Suppose w*l = 11*l - 280. Calculate the remainder when l is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 4:15 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*n**5 + 82380*n**4 - 1109157*n**3 + 4652106*n**2 - 6207192*n - 55296 = 0 for n.\nAnswer: -256, -1\/113, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355485732 is divided by 6542.\nAnswer: 6536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71893 is divided by 5990?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115 - 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.69 + -0.31. Let s = m - -3.0000013. Round s to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/6 + m**3 + 4*m**2 - 2068*m - 1. Let t(p) = -2*p**2 + 5*p + 7. What is -5*q(d) + 6*t(d)?\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21729 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -475 * -8\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 0, -7, 0, 27, 80, 165, 288?\n\"Answer: h**3 - 2*h**2 - 16*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5 + 45*n**4 + 15*n**3 - 2625*n**2 - 13230*n - 16464 = 0. Calculate n.\nAnswer: -7, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0*h)\/(h**(-5\/3)\/h*h)*h*h**(-2\/25)\/h*h**(-1\/4)*h assuming h is positive.\nAnswer: h**(1301\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 2*g + 4*g)*(-14*g**2 + 33*g**2 + 5*g - 1 - 23*g**2) + g**2 - g**2 + g**3.\nAnswer: 9*g**3 - 10*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*u - 6, 0 = 3*u - p - 8 - 1. Let j(r) = -2*r + 58. Calculate the remainder when j(u) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1080)\/(-162)*(-204)\/10. Let t = o - -133. Let z(n) = -1. Let s(h) = -h - 2. Give t*z(c) + s(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 237, 236, 235, 234?\n\"Answer: -u + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*x + 11942 = 0, 3*w + 1629 = -2*x + 10588. Is w - (-4 - (-80)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177945533 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 0 - (-68 + (106 - 13) + -15 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15e4 + 4c?\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 78483 = -78360. Calculate the highest common factor of x and 52849.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 2\/8. Let v = -285 - -284.9. Let q = -0.3 - -0.5. What is the nearest to -2 in v, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101122200 (base 3) to base 5\nAnswer: -222032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3256, 6484, 9708, 12928?\n\"Answer: -2*z**2 + 3234*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 1\/55, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*i + 3 = 4*j - 683*i, 4*i = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/((-264)\/(-67)) + -1 and -13\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -12. Suppose p - z = -l - p, -22 = -l - 4*p. Suppose -3*r - l*r = -1430. Is r a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89357.91m in micrometers?\nAnswer: 89357910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 11*t**2 - t + 18. Suppose -135 - 85 = -22*x. What is the remainder when l(x) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + 2*sqrt(204) + sqrt(204) - sqrt(204)))\/sqrt(12))**2 - (sqrt(17) + sqrt(34)\/(2*sqrt(2)))**2.\nAnswer: 119\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -32. Let l(m) = -m**2 + 9*m. Let p = 5 - 3. Let a(v) = -2*v. Determine j*a(b) + p*l(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19719372 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - d = d + 9, 0 = -3*y + 2*d + 1. Let o be 1*y\/2 - 105. Let m = o + 103. Which is the nearest to 1\/4? (a) -0.4 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208.4585259 + 208.46. What is a rounded to 5 dps?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p - 2*p)*(3*p + p + 7*p + (1 + 0 + 1)*(0 + 7*p - 2 - 2)) - 4*p**2 - p**2 + 4*p**2.\nAnswer: -126*p**2 + 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -427*l - 2 - 9*l**3 + 2*l**2 + 1 + 427*l + 6*l**4 as y*l**4 + o*l**3 + w*l + d + h*l**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 0, -5*b - 3*r = -4*r - 16. Let n(c) = 2*c + 1. Let q be n(1). Let o(j) = 2 + j**2 - 5*j**q + 4*j**3 + j**2 + 3*j. What is o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145151 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317625*i**2 - 636148*i**2 + 318521*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 2039.\nAnswer: 46\/2039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 370274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 814859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/15 - 3*j**4 + 32*j**3\/3 - 15*j**2 + 198*j. Determine y so that p(y) = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -3*h**5\/20 + h**4\/6 + h + 4. Let q(n) be the first derivative of g(n). Find the third derivative of q(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -254, -969, -2154, -3803, -5910?\n\"Answer: k**3 - 241*k**2 + k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - (-40 - -42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-81900)\/(-1625) - 7\/5)*1?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 5*t = -24. Let l = 16 + t. Suppose 0*k + i - 2 = -k, 2*k - 2*i = -l. What is the closest to -4 in -1, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4946 + -3674. Let d(n) = 250*n**2 + 4*n + 1. Let q be d(-3). Let s = q - z. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**5\/5 + q**4\/4 - 157*q**2\/2 + q - 132. What is the second derivative of x(w) wrt w?\nAnswer: 24*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbmwbwwwbgmbbwwwb. What is prob of picking 1 z and 1 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 3)*(14878*q + 8952943 - 8952943) to the form x*q + w and give x.\nAnswer: 44634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/105 + 103*w**5\/20 - 5*w**4\/12 - 3841*w**3\/6 - w**2 + 2*w + 1699. Differentiate t(a) with respect to a.\nAnswer: -8*a**3 + 618*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - m - 20, 18*h - 16*h - 5 = 3*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-191)\/(-17) - (-41)\/((-78064)\/448)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -90*w - 109. What is g(10)?\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93112?\nAnswer: 2, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054041 times -5?\nAnswer: -0.270205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596457*v - 298030*v - 296100*v.\nAnswer: 2327*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 48, 6 in decreasing order.\nAnswer: 48, 7, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/14560695 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoxz when four letters picked without replacement from zxoxozzxoxx?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*q - 12*q + 63 + 3407 = 272 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 735125117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 32 - 2*p + 9 in the form h*p + s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/60 + q**4\/8 + 2*q**3\/3 + 24*q**2. Factor p(k).\nAnswer: -(k - 4)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 - 13 - (-113 + -2) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 1, x: 1, q: 1, h: 1}. What is prob of sequence pqxq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**2 + 8*s - 2. Let y(v) = -v**2. Let z(b) = -x(b) + 6*y(b). Let o be z(-7). What is the greatest common factor of 18 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711.97 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 + m + 1. Let h(r) = 6*r**4 - 6*r**3 - 6*r**2 + 21*r + 6. Let d(f) = h(f) - 6*j(f). Find the second derivative of d(t) wrt t.\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -743433\/11 or -67585?\nAnswer: -743433\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 102*d**2 + 142*d - 373. Is b(-90) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ba (base 13) in base 8?\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 43 (b) -0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 5 + -1 + 7101. Suppose -7*v + 2157 + h = 0. Suppose 5*l + 2*l = v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 131400 and 97372875?\nAnswer: 2336949000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1 = -0*r + 2*r, -5*r + 35 = 5*a. Let g(n) be the third derivative of 0*n**5 + 0*n**4 + 0*n**a - 5*n**2 + 0 + 0*n + 1\/60*n**6. Factor g(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = 16. Let h be (10\/25)\/(2\/x). Determine o, given that 0*o + 3*o**4 + 4*o**h + 2*o**2 + 0*o + 9*o**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1031131321 (base 4) to base 16\nAnswer: 4d779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + -10449.73.\nAnswer: -10544.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -783, -0.112?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5200.47 (c) -14 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**2 + 13*z**2 - 25*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 - 16*g - 45. Let b(l) = l**2 + 3*l + 9. Let n(w) = -11*b(w) - 2*x(w). Let j = 529 + -529. Give n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y - 8 = 2*s, -20 = 5*y. Calculate the smallest common multiple of 11 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(38)*3 - (-4*sqrt(266)\/sqrt(7) - sqrt(38)))\/(-6*(sqrt(242) - (sqrt(242) + -2*sqrt(242) - sqrt(242))*3)).\nAnswer: -2*sqrt(19)\/231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0972, 3, -1?\nAnswer: 0.0972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10650*b + 2950168. Give w(-277).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 25. Let v be t(-19). Suppose 0 = -2*q + 2*h - 118, q + 4*q + 5*h = -295. What is the common denominator of q\/18 - v\/(-13) and 47\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3731357.17 to the nearest ten thousand.\nAnswer: 3730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + -1 + sqrt(704) + 3 + sqrt(704) + 0)*-1)**2.\nAnswer: 64*sqrt(11) + 5634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16387181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/126)\/(15\/(-420)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 times 5\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/8 - 15*a = 0 for a.\nAnswer: 0, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2 + 3570404*m + 1593473090402 = 0.\nAnswer: -892601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4613998 + 6476565. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -32*f - 3. Let o be i(-7). Suppose 2*c + 4*d = -c + o, -2*c + 3*d = -170. Let k = c + -40. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91397492?\nAnswer: 2, 23, 993451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 81008.3 rounded to the nearest one thousand?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 230372500 a multiple of 2500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 0.356698?\nAnswer: 0.656698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/18 - 43\/(-9). Suppose -4 = -3*w + g. Let l = -1 + w. Is l at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24934477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1902*t**3 + 802*t**3 + 1098*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3596008381?\nAnswer: 7, 19, 29, 932333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/79032 and 89\/6.\nAnswer: 79032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(7*z + 8*z - 3*z)*(3*z + 2*z - 2*z).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-816)\/(-153)*(-3)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686 + 2054 + 123*a - 682 - 688.\nAnswer: 123*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10777, -6091, -1405?\n\"Answer: 4686*c - 15463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvxvlxlzzovzllvzlvx. Give prob of picking 1 z, 1 v, and 1 l.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 1, s: 1, m: 2, j: 3, p: 3}. Give prob of sequence spu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96428756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (((-12)\/4)\/(-3) - -4) + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 + 0*s**3 - 3*s**3)*(s**2 - 3*s**2 + 9*s**2) - 4*s**2 + 4*s**2 - s**5.\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*h - 34 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -27, -29, -31?\n\"Answer: -2*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -1\/2, -11, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 100 - 12. Let f(x) = -16*x - d*x + 38*x + 4*x**2. Let w(v) be the third derivative of -3*v**5\/20 + 4*v**2. Give w(f(i)).\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4841473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -73 + 16*x - 74 + 47 + 97. Let v(u) = -4*u**2 + 3*u - 3*u. Calculate v(d(p)).\nAnswer: -1024*p**2 + 384*p - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -71*z + 29. What are the prime factors of y(-7)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 + -88. What is the greatest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 11:35 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2027.1*-121.\nAnswer: -245279.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1570 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27172, -27598, -28010, -28402, -28768, -29102, -29398?\nAnswer: -29650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 + 7*g**2 + 3*g + 8. Let x(i) = -i**3 - i. Let y(o) = -j(o) + 5*x(o). Let k = 1 + -7. Give y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/8)\/(4\/104) is divided by (-4)\/(-14) - 108\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + 3 + 2 - (1 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*n - 10, 0*n - 3*z - 11 = -2*n. Let c be n - (-1 + (0 - -4)). Let i = c - -25. What is the smallest common multiple of i and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3407521*b**3 + 2846745*b**2 wrt b.\nAnswer: 20445126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 57. Suppose q + 3*y - 28 = -q, -h*y = q. Suppose -25*t + 35 = -q*t. Calculate the lowest common multiple of 9 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 465523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 1:24 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/1*(-8)\/(64\/6740) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/104 and (((-1)\/(-572))\/(3\/2))\/((-440)\/37290).\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, h: 1, i: 2, o: 2, n: 2, p: 3}. Give prob of sequence pnin.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25714 and 6256.\nAnswer: 3497104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27846 = -3929*z + 21291 - 73180 - 42064 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a20 + 5699?\nAnswer: 3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515*k - 512*k - 114 = 0. Suppose -3*t - k + 227 = -j, 2*t + 589 = -3*j. Is j bigger than -195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145053210 to the nearest one hundred thousand.\nAnswer: -145100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, 1 h, and 1 f when four letters picked without replacement from hmffmmp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 2*b**2 - 4*b. Determine k(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -408, -410, -412, -414, -416?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 264, 2.4, 221?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6676890 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71896 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 13*k - 11. Let x(w) = -w + 1. Let y(s) = -2*g(s) - 22*x(s). Factor y(u).\nAnswer: -2*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**2 - 6*f**2 - 44*f**2 + 17*f**2 in the form y*f + p*f**2 + t and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12813570 divided by 1830510\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447696, -447697, -447698?\nAnswer: -447699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 25410.\nAnswer: 203280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + -362 + 356?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 208, 744, 1808, 3580, 6240, 9968, 14944?\nAnswer: 21348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 4*q - 13, 5*z + 13 = -q - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1 + 4 + -2. Let p(t) = t**2 - 2. Let j be p(2). Calculate the least common multiple of 4 and ((-4)\/o)\/(j\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1)*(-9 + 9). Let l(n) = -n**3 - n**2 - n - 10. What is l(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*g + 48. Let m(u) = u + 2. Let f be m(g). Let w = -3 - f. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (129600\/1890)\/(-240)*7*41\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 4*q**2 + 8*q + 4. Suppose 4*u + 0*u + n - 14 = 0, -12 = -5*u - 4*n. Let z be i(u). Let l = 39 - z. Solve 3*c + l = 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 5) in base 16?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.1, -3\/8, 2, 41 in increasing order.\nAnswer: -3\/8, -0.1, 2, 6, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -181629, -366991, -552353, -737715, -923077, -1108439?\n\"Answer: -185362*q + 3733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-48)*2\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0.04, 12, 10, -2.\nAnswer: -2, -5\/4, 0.04, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**3 - 13*k**2 + k + 19. Let l(f) = -3*f**3 + 6*f**2 - 9. Let t(v) = -5*l(v) - 2*y(v). Let j be t(5). Let x be j\/(-26) + 24\/(-156). Sort x, -2, 0.\nAnswer: -2, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 15. Suppose 2*p + 13 = r*p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c - 1458 = -90*c. Solve 4 = k + 3*v, 26*k - c*k + 5*v = 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 40.5114?\nAnswer: 40.4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*sqrt(7) + -5 + sqrt(14)\/sqrt(2)*-1 + sqrt(7) + ((-1*sqrt(7))**2 - sqrt(7)) + -5.\nAnswer: -25*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 225244*g**2. Let p(o) = -9*o**2. Give d(p(s)).\nAnswer: 18244764*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (344 - 27*w**2 - 344)*(3*w**3 - 4*w**3 + 2*w**3).\nAnswer: -27*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 4)*(-2*a**5 + 0*a**2 + 0*a**2) + (-2*a**2 - 2*a**2 + 3*a**2)*(61 - 61 + 16*a)*(-1 - 2*a**2 + 1 + (3*a**2 - 2*a**2 - 3*a**2)*(0 + 1 - 3)).\nAnswer: -22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-y + 0*y - 3*y + (1 + 2*y - 1)*(6 + 1 - 3)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 11*d + 7*d**3 + 1\/12*d**4 + 441\/2*d**2 - 4. Suppose m(w) = 0. Calculate w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 0 + (-21 - (-2 - 0)). Let s = -12 - y. What is the derivative of -21*b**s + 2 + 12*b**4 + 28 wrt b?\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 27268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1275*v - 29317. What is i(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 0 - 2 + 3 - 81*c + 59*c. Let s(g) = -10*g. Calculate s(m(a)).\nAnswer: 220*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433072 a multiple of 856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 20 = -5*l, 722*l = 718*l - 3*f + 12. Solve -w - 6 = 2*q, -5*w + 0*q + 2*q + 6 = l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g**5\/5 - 327*g**4 - 147933*g**3\/5 - 4415151*g**2\/5 + 538707*g + 2696670 = 0. Calculate g.\nAnswer: -95, -83, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15291 + 15296. Let q = -167 - -273. Suppose 2*c = i*c, 2*d - c = q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**0)**(-1\/7))**(40\/3)\/((o*o\/(o**(2\/17)*o))\/(o*o*o*o\/(o**(-1\/4)\/o)*o))**(-33) assuming o is positive.\nAnswer: o**(-255665\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6236253 to the nearest integer?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2392557 > -2392557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 4.05. What is the fourth smallest value in -3, 3, r, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**5 - 2109*r**4 - 477933*r**3 - 35033379*r**2 - 197522640*r - 290001600 = 0.\nAnswer: -280, -137, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 698016*f - 698012 = 0. Calculate f.\nAnswer: 1, 174503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 18*z - 16. Suppose 5*l - 3*b - 3250 = 0, -2*b - 1220 = -3*l + 730. Let y be 1 + (-38)\/34 - l\/(-34). Calculate h(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -474876 * 0.2.\nAnswer: -94975.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*s**4 + s**3 + 2*s**2 - 12468*s - 427556455 wrt s?\nAnswer: 40*s**3 + 3*s**2 + 4*s - 12468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86, -179, -272?\n\"Answer: -93*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 7*x - 1. Let i be c(6). Let n(j) = -i*j - 3*j**2 + 5*j. Let w(k) = -1 + 11*k - 4*k - 2*k + 1. Give n(w(o)).\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -3*a**4\/8 + a**3 + 38. Solve r(o) = 0 for o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/3))\/n)**(-31)*(n*n**0)**(7\/4) assuming n is positive.\nAnswer: n**(269\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 54 = -3*u, -u = 2*u - 3*t + 48. Let l = u - -21. Determine d, given that d**2 - 4 + l*d**3 + d - 6*d**3 + 3*d**3 + 3*d = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/20*400\/(-40)*52\/16.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/2 + 3. Let g = -1.5 - -1.4. Let y be (-1)\/2 - 2\/28. Which is the nearest to p? (a) g (b) y (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144093755681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24139374.\nAnswer: 2, 3, 7, 23, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/8055 and 101\/9666.\nAnswer: 48330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -1 - 2)\/5. Which is the nearest to r? (a) -4 (b) 0 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j**2 + 11717*j - 115857. Calculate u(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1651.033 weeks?\nAnswer: 277373.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 11*i + 14. Let v be h(-12). Is 3 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.4995 and 79.\nAnswer: -434.4605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 701*134\nAnswer: 93934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983267 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1455305656 - 4?\nAnswer: 1455305652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3480d (base 14) to base 10\nAnswer: 127805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49\/294*-28 - (-904)\/195\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24572985 is divided by 14688.\nAnswer: 14649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 3*i = -9*f - 20, -2*i = -12. Let a be -1 + (0 - (-4)\/19). Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 + 0.06. Let p = -14377 - -143769\/10. Which is the closest to -0.3? (a) j (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((1 - 2) + (59 - 55))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f. Let o = 134 + -118. Let v(c) = o*c + 23*c - 3*c - 5*c. Give y(v(x)).\nAnswer: -93*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75495 and 11359481?\nAnswer: 5033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {e: 4, d: 3, i: 2, o: 1, h: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -366 - -371. Suppose -4*i = i - 10, i - 1977 = -w*k. Does 79 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - (2 + 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -1511, -3570, -6497, -10292, -14955, -20486?\nAnswer: -26885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -456 + 458. Solve w - 3 - b = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1129*w - 2. Let h(p) = 2414912*p - 4279. What is 4*h(k) - 8558*m(k)?\nAnswer: -2334*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1160615 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/10)\/(22\/(-990)). What is the units digit of -6 + 7 - t - -1110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5482788 is divided by 1645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyytty.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75562\/635 or -120?\nAnswer: -75562\/635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.7 in -1, -8, -4, -27\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5695680841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (1 - 0)) + (162 + -152 - (4 + 1))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k**2 + 5*k - 3. Let a be x(2). Suppose m + 57 = 3*l + 6*m, -a*m - 105 = -4*l. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 97 and 155.3678?\nAnswer: 15070.6766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.84 - -2.24. Let f = g - 0.4. Which is the nearest to -0.1? (a) 1\/6 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 + b**2 - 2*b + 1. Let c(o) = -o + 6. Let q be c(5). Determine y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 1\/5*c**4 + 6\/5*c**2 + 4\/5*c - 8 + 4\/5*c**3. Factor o(w).\nAnswer: 4*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2. Let r(a) = 2*a**2 - 15*a - 338. Let s(z) = -6*z**2 + 50*z + 1014. Let c(x) = -10*r(x) - 3*s(x). Determine c(o(j)).\nAnswer: -32*j**4 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -17 + -30 - -28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*z**3 - 1924*z**2 - 616*z - 48.\nAnswer: 2*(z - 6)*(13*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1607959*i + 175. Let r(k) = -2*k. Let o(q) = 3*r(q) + x(q). Let z be o(-5). What is z rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 166 = 2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/4*(3\/(-144))\/((-107)\/(35952\/63))?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 - 112. Calculate the remainder when w is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64)\/40*(-2 + -8). Solve -5*z - 4*g = -v, 0*z - 2*g = z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11519*p**2 + 3428*p**2 + 4*p - 8704*p**2.\nAnswer: -16795*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (16 + -11 + 0) - -19 - -12?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s + 4*j - 66, 0 = -2*s - 4*j + 48. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -20, -3*c - 10 = 4*w - 33. Let s be 14\/10 - 4\/10. Let l be ((-9)\/(-6))\/(s\/2). Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45278 and 4?\nAnswer: 90556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1327805943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.74 + -0.31. Let l = s - -0.05. Let t be 55\/(-70) + 6\/12. Put -1, t, l in increasing order.\nAnswer: l, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2002 - 1827. What is the remainder when i is divided by 53?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m - 5. Let h be d(19). Let k = -50 + h. Suppose 2*s - 10 + 2 = 3*u, 8 = k*s - 2*u. Which is greater: 42\/13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 6046 + 0*a + 2*a - 5*a.\nAnswer: -a - 6046","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/(2\/18). Let a be f + (7 - 1 - -1). Solve -2*v - 2*v = a*d - 28, -d + 22 = 4*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1. Let o(a) = a + 2. What is -2*o(j) + 7*w(j)?\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -0.04166?\nAnswer: -0.04166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 263436 and 263436.\nAnswer: 263436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p + 4 + 4*p)*((0 - 5 + 1)*(-1 + 0 + 0) + (4 + 1 - 4)*(8 - 16 + 1)*(-1 - 1 + 4)).\nAnswer: -20*p - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4\/4 + 41*n**3\/3 + 53*n**2\/2 - 3*n - 14. Is 9 a factor of i(42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 10) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:07 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75336191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-1)\/(18\/84))*-3. Solve -18 - 14 = -d*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44757 - 42814. Is 1936 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrrrorror. What is prob of sequence rog?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fob. What is prob of picking 1 f and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100.27 - 100.27. Let l = 6.3 - 6. Which is the fourth smallest value? (a) l (b) 2 (c) p (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 3*m + 2*m - 1 + m + 1 + (2*m + 1 - 1)*(-5 + 3 + 0) + 2*m - 4*m + 0*m + (2*m - m - 3*m)*(-3 + 0 + 1))*(m + 8*m - m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 7082*l - 127133. Calculate w(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 4. Let g be p(-4). Suppose -5*f + 2*j + 103 = -73, f + 5*j - 46 = 0. Calculate the greatest common divisor of f and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2 - 5 - 12*i**2 + 3. Let h(t) be the third derivative of -8*t**2 + 1\/12*t**4 + 0*t + 0 + 0*t**3. Calculate h(c(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smmsssss. Give prob of picking 3 s and 1 m.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/88 and 1\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -449 + 458. Let y(g) = 6*g - 29. Let k(x) = 13*x - 57. Let b(z) = -2*k(z) + 5*y(z). Let u be b(m). Sort u, -3, 0, -4 in descending order.\nAnswer: u, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -19b?\nAnswer: 19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -g + 4*g - 1, 3*k - 4*g = -5. Let b = -1.07 + 0.6. Let a = 0.39 + b. Are k and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9.8, 4, -2.7.\nAnswer: -9.8, -5, -2.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33769 in 0.5, 229, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1064 + -2?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 504954712*f**3*y**2 - 4*f**2*y**2 + 7*f**2*y + 74*f*y + y + 1411 wrt f?\nAnswer: 3029728272*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 3*w + 2*w**2 - 4*w + 6*w**3 - 8 to x*w**2 + f*w + m + a*w**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let z(l) = -1062*l**2 - 2. Calculate z(m(b)).\nAnswer: -4248*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 2*m**2 - 8. Let l(z) = -6. Let c(j) = 5. Let a(y) = 7*c(y) + 6*l(y). Calculate 6*a(k) - b(k).\nAnswer: k**3 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -14. Suppose -2*u - 332 = -c, -4*u - t = -17. Suppose -c - 112 = -4*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 0.5 (c) -7 (d) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 13. Calculate l(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/7*(1995\/(-231) - -8).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 9*j**2 + 2*j - 2. Let k be m(8). Let o = -54 + k. Solve -4*c + o = 4*f, -6 = 2*f - 0*f - 4*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016401 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.05 + 1.65. Is -3\/19 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*k - 1768476 = -317*k - 2*p, 1326351 = 3*k + 3*p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5912\/24)\/(1\/3). Suppose 4*q + 2508 = 5*y, -2*y - 3*q = -5*y + 1503. Let h = f - y. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -138.401?\nAnswer: 553.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o**2 + 27*o**2 + 29*o**2 - 72*o**2 + 4.\nAnswer: 16*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 4:57 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 25 = -4*x. What is the second derivative of -8*h - 28*h**4 + 3*h**4 + x*h + 29*h wrt h?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 130.8, -2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 - 6*b - 7. Let z(w) = -w**2 + w - 1. Let q(j) = a(j) - 6*z(j). Let d be q(13). Suppose -3*t + 2*t = -3. Solve 0 = 5*p - t - d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = 5*b + 1481, 3*b = -5*l + 3780. Let f(u) = 753 - l - 13*u. Let h(r) = -r. Give f(h(v)).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let b be f(2). Let d = 233 + -403. Let o = 153 + d. Is o bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243417 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 2*h**2 - 4. Let t be x(2). Suppose 0*p = -t*p + 120. Suppose -126 - p = -4*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -19*w - 2. Let s(u) = -2*u - 5. Let n(p) = 14*p + 31. Let q(y) = -6*n(y) - 37*s(y). What is 3*j(h) - 5*q(h)?\nAnswer: -7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, -118, 21, 20, 0, 2 in increasing order.\nAnswer: -118, -1, 0, 2, 12, 20, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + t = -1, -3*t + 6*t + 1 = 2*k. Let w(m) be the first derivative of -2*m + 0*m**4 + 6 - 2\/5*m**5 + 4\/3*m**3 + 0*m**k. What is o in w(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 4:53 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2\/337, 0.27, 152, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdkdddkddkd. What is prob of picking 1 d and 1 k?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 2. Let q be n(-5). Suppose 0 = -f, 2*z - f - 2*f = 0. Suppose z = -k - 2*t + 5, -t + 0*t = -4. Do k and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i**2 - 3*i + 3. Calculate v(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 24 - 5 + 50. Let c(b) = 4*b. What is c(t(y))?\nAnswer: 8*y + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4286.1883 to the nearest 10.\nAnswer: -4290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74597.99 tonnes to nanograms.\nAnswer: 74597990000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n - n)*(-9 + 27*n**2 + 9).\nAnswer: -54*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(14)\/(1*sqrt(7)) + sqrt(2)))**2*-3.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968662490.\nAnswer: 2, 5, 2657, 36457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-15) - (16576\/12)\/4. Let d = x + 360. Solve n + 5*r + d = -n, 4*r = -2*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2934 = -5*m + 2919 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x - 20. Calculate the smallest common multiple of 6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.76 or -7?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 712 + -708. Let q be 135\/(-24) - -6*g\/4. What is the closest to 1\/3 in q, 1, 0.02, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(252) + sqrt(252)*2).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305 + -3357\/11. Suppose -18*h + 309 = 399. Which is the nearest to -2? (a) -27 (b) -0.3 (c) h (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100101000011110110 (base 2) to base 4.\nAnswer: -10211003312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*h + 118 = 0, -20*l + 27576 = h + 27622 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 51*v - 340. What are the prime factors of g(20)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/4, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 512*b = -515*b - 80, -2*b = 9*s + 70 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*-46\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*g + 233*g - g)*(-2234 - 52*g + 2234) in the form l + n*g + x*g**2 and give x.\nAnswer: -12792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -834e7a - 5?\nAnswer: -834e80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162967100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1 - 3*c - 2 + 6. Let f(t) = t - 1. Let x(l) = -l**3 - 2*l**2 + 5*l - 1. Let n be x(-4). Let v = n + -18. Determine v*f(d) - 3*m(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**3 - 141*p**2 - 823*p + 36. What is a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 28 - (0 + -8 + 1) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 - 179. Suppose 5*i = -o*i + 180791. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*137.\nAnswer: 7398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o + 19*o + 370. Calculate the common denominator of (-2 + o)*17\/(-4947) and 2\/3.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p - 55*p - 60*p + m = -182*p - 343, -30 = -6*m for p.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/2 + 18*m**4 - 1046*m**3 + 13321*m**2 - 91221*m\/2 - 59995 = 0.\nAnswer: -71, -1, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 133*n**2 - 2531*n + 92. Determine r(19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32472*u**4 + 35*u + 1256.\nAnswer: -389664*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 8 (c) 0.1 (d) -14\/449 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - (-2)\/5. Suppose -2*d = 3*d - 20. Let g = w + d. Solve -2*c = 4*r - 22, -g*c = -4*r + r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000426 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 195688 = -370*o. Calculate the highest common divisor of o and 5978.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11795*v**4 + 78*v**3 + 3*v**2 + 38526199 with respect to v.\nAnswer: 47180*v**3 + 234*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 2*b**2 + b**4 - 3*b**4 + 7*b**2 - 7*b**2 + 2*b**4 + (-2*b + b + 0*b)*(2*b**2 - 2*b**3 - 2*b**2) + 2*b**4 + 0*b**4 + 0*b**4.\nAnswer: 4*b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 25. Calculate the greatest common divisor of o and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/53418 and 4\/161583?\nAnswer: 2877146898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, q: 4, t: 2}. Give prob of sequence qt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21e9e + 4?\nAnswer: -21e9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -62 times 2\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(24*6\/1296).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p, -3*b - 3*p = -8*p - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from uwluuuuwulwwlul?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 35. What are the prime factors of (n - 2)*(-6)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**6\/30 - b**5\/15 + b**4\/36 + b**3\/9 - b - 2. Let i(k) be the first derivative of c(k). Let i(y) = 0. Calculate y.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*y = 1, -6*y = 5*j - 8*y - 45. Solve j*s + 2*s = 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 14*m**3 + 22082554*m**2 + 44165102*m\/7 + 3154650\/7 = 0.\nAnswer: -1577325, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(612))**2.\nAnswer: 24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 2*t**3\/63 - 160*t**2\/21 + 106*t\/7 + 4064. Suppose r(m) = 0. Calculate m.\nAnswer: 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 22. Suppose 3*f = -5*c + 4 - r, 2*f + 4 = 0. Solve 6*z = c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssszssssssssszssss. Give prob of picking 4 s.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041284155 rounded to 6 dps?\nAnswer: 0.000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1114220?\nAnswer: 1114210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:54 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 102.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6111251 (base 7) to base 8\nAnswer: 2611113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 bigger than 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356109 = -1406*k + 10537*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.4 (b) 19220\/33 (c) -0.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118257215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x. Suppose 2*r - 37 = -3. Let d(t) = r*t - 5*t - 4 - 9*t. Let y(j) = -4*j + 5. Let b(m) = 5*d(m) + 4*y(m). What is c(b(f))?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2469, -4989, -7563, -10191?\n\"Answer: -27*d**2 - 2439*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2439 less than 6341?\nAnswer: 6341.2439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {j: 8, t: 5, d: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33503, 33496, 33489, 33482?\nAnswer: 33475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257 (base 13) to base 6.\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (60\/(-42) - -4) + 6\/14. What is the hundreds digit of (-119)\/(2\/((-4)\/j*3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2731*m - 5548*m = 56340 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/22836 and 80\/39963.\nAnswer: 159852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12))\/sqrt(4) + 1.\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68809476 divided by -4?\nAnswer: 17202369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-5)\/90)\/((-5)\/(75\/10)). Let d(i) be the second derivative of 3\/80*i**5 - s*i**4 + 0 + 1\/4*i**2 - 1\/24*i**3 + 29*i. Factor d(t).\nAnswer: (t - 1)**2*(3*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 13*k - 39. Let n be p(6). Let v = -61 + 91. Suppose 0 = n*w + 3*w - v. Sort -1, -10, 3, w in decreasing order.\nAnswer: w, 3, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0765 - 0.0765. What is the nearest to -4\/13 in 4, 2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -60, -274, -688, -1368?\nAnswer: -2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {f: 6, w: 2, k: 7}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3388879 or 3388950?\nAnswer: 3388950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8003727*n*q**3*s + 6*n*q**2*s**2 - 3*n - 3167*q*s**2 - 698*s**2 wrt q?\nAnswer: -48022362*n*q*s + 12*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 7*y + 4348 - 4338 = 0, p + 46*y + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 1. Let c(k) = 3*k**2 + 17*k. What is -c(d) - 2*p(d)?\nAnswer: d**2 - 17*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 + -2.4. Let s = g - -1. Let c = -0.05 + -0.35. Sort -1\/3, c, s in ascending order.\nAnswer: c, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2329382*y**2 + 1078*y. Let l(h) = -12941*h**2 - 6*h. Determine 1078*l(d) + 6*x(d).\nAnswer: 25894*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2521103 (base 7) to base 8\nAnswer: -1171662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2 + 122*b + 5*b**6 - 60*b**5 + 22*b + 60*b**5 + 7*b**6 wrt b.\nAnswer: 1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 12. Suppose 4*g - u = -g. Let w = g + 5. What is the remainder when 20 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -172, -420, -774?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*n - 161 + 3*n**2 - 4*n**2 - 129 + 41 - 2*n**2 with respect to n.\nAnswer: -6*n - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 21694 = 1192. Calculate the least common multiple of 6 and t.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 + 295*r**4 - 21903*r**3 + 21609*r**2.\nAnswer: -r**2*(r - 147)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 12*r + 3648 = 0. Suppose -m = r - 3395. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107757 divided by -13.\nAnswer: 8289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + (8 - 4)) - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94704.89 millilitres to litres.\nAnswer: 94.70489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:51 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -155 - -158 - 3\/((-54)\/(-62))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z. Let h be o(8). Suppose h = 5*t - 23. Is (t - 1)*14\/4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -205371776 and 0.4?\nAnswer: 205371776.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*d - 1. Let t = d + 4. Let w = t + 10. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -88*z + 1420. Is 12 a factor of l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 162*t**2 + 105*t + 9255. Calculate j(161).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 32*p**2 - 755*p + 35. What is k(13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30120412 (base 5) to base 6.\nAnswer: -5041453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*q + 4 = -136*q - 2*f, 0 = 4*q - 3*f - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1007, -1437, -2159, -3173, -4479?\n\"Answer: -146*h**2 + 8*h - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -r + 61, -r = 3*u - 35 - 12. Calculate the greatest common divisor of u and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*t**2 - 109*t**2 + 493*t**2 + 327*t**2.\nAnswer: 801*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6837221 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4728 and -53\/12?\nAnswer: 4728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60450 and 1200?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 2*o + 1. Let t be c(-1). Let g be (-2)\/(-2) - 2\/(-6). Factor 2\/3*r + 0 + 2\/3*r**t - g*r**3.\nAnswer: -2*r*(r - 1)*(2*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-2\/7)*j)\/j*j)\/(j\/(j*j\/j**(2\/47)))*j**(-3)*(j*j**(-12))\/j)**(-8\/9) assuming j is positive.\nAnswer: j**(10816\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 16*r + 9. Let u = 31 + -21. Let t be g(u). Suppose -335 - t = -7*l. What is the highest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f**2 - 41*f - 10. Let n be l(-3). Find the third derivative of 102*t**2 + 2*t**4 - 62*t - n*t**4 + 12*t**3 + 62*t wrt t.\nAnswer: -72*t + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-119)\/(-68) - (-29139)\/12 - 9 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2*i - 3*z + 24, 0 = -15*i + 448*z - 450*z - 188 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2 - 0)*4. Let r(m) = 2*m**3 + m**2 - 2. Let u be r(2). Does 3 divide (-498)\/(-54) + t\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*r)*(0 - 1 + 3) + (-r + 0 + 0)*(-4 + 2 + 4))*(10 - 10 - 5*r).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (140805\/156450)\/((-14)\/20)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*f - 2206 = 0, -4*y - 4*f + 544 = -1660. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -34, -6058\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:37 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {b: 2, e: 2, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -1, -363 in increasing order.\nAnswer: -363, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1157032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -37. Suppose -2*j - 2*j = -z. Suppose 0 = -5*l, g - 4*l - j = -0*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/145488 and 151\/6048.\nAnswer: 2618784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 8)\/8 - (-21)\/2. Is (16*(-403)\/130)\/((-4)\/a) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1069 + o - 1272 + 0*o - 2*o**2)*(-15 + 4 - 9 + 2*o**2) to s*o**3 + p*o**4 + w*o**2 + h*o + g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 216 = 473 + 139 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786063603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62918 - 62922. Let o = 8 - 8.4. Sort 55, s, 0.2, o in decreasing order.\nAnswer: 55, 0.2, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29172 = -18*u + 92082. List the prime factors of u.\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7627800?\nAnswer: 2, 3, 5, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h - 3*h)*(5*h**2 + 0*h**2 + 3*h**2).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2 - 6240*w - 394416 = 0.\nAnswer: -1494, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667b12 (base 12) in base 7?\nAnswer: 54146615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 7:12 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (22 - 24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -30*z - 52. Let d be l(-4). Is 64 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 304, 316, 346, 400, 484?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -290202, -580219, -870236?\n\"Answer: -290017*w - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -54 - 15 - -84\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 199927446 and 2?\nAnswer: 199927446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 - t - 5. Let k be r(4). Let y be (-1843)\/9 - ((-22)\/k)\/11. Let l = y + 322. Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1 + 1 - -16. What is the greatest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 231*i**2\/5 + 49839*i\/5 + 17334.\nAnswer: 3*(i + 214)*(77*i + 135)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 divided by -331?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12715 (base 12) to base 15\nAnswer: -7712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6556086 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.052 + -26. Let n = 0.02 + b. Let v = 0.07199961 - n. What is v rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82\/10388721 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 17*c**6\/6 + 35*c**4\/4 + 4*c**3 - 21*c + 891. Find the third derivative of j(l) wrt l.\nAnswer: 1020*l**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4725 - 4692. Solve n*j - 132 = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*p**4 - 2*p**4 + 6*p**4 + (-2 + 2 - 2*p**3)*(11*p - 6 - 15*p + p) to the form y*p + z + c*p**3 + k*p**4 + u*p**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:22 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -13*4\/(-8)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100000000100101101 (base 2) in base 15?\nAnswer: 7b7ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48251 (base 11) in base 9?\nAnswer: -115313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 6. Suppose 2*i = 3*c - 231, 3*c - 229 = 2*i + 2*c. Calculate the remainder when f is divided by (-20)\/110 - i\/22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -44 (b) -1\/4 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -129 (b) 2.53 (c) -4 (d) -263\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 144.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Suppose z = -s - 4 + 5. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -7, -180 in ascending order.\nAnswer: -180, -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 v when four letters picked without replacement from kkkkkkkkkkkvkkvkkkk.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*q - 15 + 15 + (-q - 2 + 2)*(0 + 3 - 5) - q + 0*q + 0*q)*(-198*q**2 - 120*q**2 + 117*q**2) as c*q**3 + j + s*q + f*q**2 and give c.\nAnswer: 3417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246889 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5520\/8*1\/2. What are the prime factors of (-46)\/r + 797\/15?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*h + 10*h**2 - 1 - 27*h**2 + 18*h**2 - 1 - 3 to y + a*h + k*h**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.6 and -1913586.\nAnswer: -6888909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2450)*2 - sqrt(50)) + sqrt(22)\/(sqrt(11)*-3*-6))*1)**2.\nAnswer: 1371241\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 26*n - 109*o - 263 = -114*o, -4*n + 68 = 2*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 9*g + 4. Let y be r(-9). Let i be (-3)\/24*-6*y. What is the first derivative of 4 - 2*o**2 - 2 + i*o**2 wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45 - 6*(-3)\/6. What is the highest common factor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 18. Let i(q) = 1. Let z(r) = r + 7. Let o(a) = n*z(a) + 3*i(a). Calculate o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -334\/35?\nAnswer: -334\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 15*b**2 - 12*b + 19. Let d be -12 + 6 + 9 + 5. Calculate a(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 45.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 1\/12 (c) 0.4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3 - 9)*(-25 - 8*t + 25)*(3*t + 3*t**2 - 3*t) - 7*t**2 + 7*t**2 + 4*t**3 - 2*t**3 + 2*t**3 + t**3.\nAnswer: -115*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3777605617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21199673 divided by -2827.\nAnswer: 7499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and 0.16.\nAnswer: -12.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 142. Let y be 4\/(-18) + 1092\/54. Solve -5*v - i - y = 0, r = 2*i - i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 20 = -4*z. Let f be (-106)\/(-34) + ((-16)\/(-68))\/(-2). Solve -4*u - z*v - 19 = 22, f*u = 5*v + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -14.588\nAnswer: -58.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-6)*2 - 0. Suppose 0*x + x + i*w - 6 = 0, -3*x - 4*w + 38 = 0. What is the second derivative of r**5 + r - 2*r**5 - 18*r**4 + x*r**4 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/26 - (-335)\/65. Solve b = -0*p - u*p + 13, -p + 2*b = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256458 and 48.\nAnswer: 2051664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) -0.9 (b) 0.5 (c) 3 (d) -1267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46534446913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2945 = 2*t - 569, 0 = -2*d. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(3\/((-9)\/(-24)))*0. Let n = -4 + 3. Let g be 11\/(-6) - n - -1. Is g < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-411)\/15) + 4\/(-10). Let d be 1 - 3\/(-3)*1. Suppose y = -2*l + 27, -4*l = -y + d*y - q. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 54. Let z(v) = -3*v + 516. Calculate o(z(d)).\nAnswer: -18*d**2 + 6192*d - 532566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*(-24)\/(-1320)*(-2 + -8)\/((-4)\/61)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - 480\/56 - 22\/(-14). Let s be (1 + 1 - 0) + 1. Sort -1, s, -5, y in descending order.\nAnswer: s, y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*(-11*x + 12*x - 5*x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2728 divided by 8\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 90098 = -11*j + 6*c, -3*j + 3*c = -24564. Does 68 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -l - 637 - 1317, 4*j - l - 3906 = 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 -210 - 92 = -133*j + 53*j - 71*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3028 = -58*l - 128. Solve -4*g - l = -38 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*m + 14*m. Let g be (16\/(-10))\/((-4)\/10). Put -5, m, g in increasing order.\nAnswer: -5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1125)\/180*(-8)\/5. Suppose 0 = o*u - 6 - 254. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from {w: 1, o: 1, i: 1, t: 2, r: 2, c: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-36) + (-6)\/27 + -1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + -6 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3*(-1 + 4). Let a(b) = -b**g - b**2 + 0*b + 0*b. Let h(c) = -c**2. Determine a(h(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 109 = 2*y - 134, 10 = 2*s - 3*y. Suppose 8 = 5*v - 2*v - 5*u, -v = -u - 2. Sort 9, 2, v, s in ascending order.\nAnswer: v, 2, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - 0.9. Let i = -959\/277 - -65669\/36010. Let q = -20\/13 - i. Which is the nearest to -2\/5? (a) r (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffff. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 + -0.17. Let n = p + -0.04. Let t = 0.35 - 0.3. Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = d - 3546, 105*b + 8850 = 110*b - 5*d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 562 + -712.9. Let r = -137 - s. Let k = 14 - r. Sort 5, k, 0 in decreasing order.\nAnswer: 5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 - -1))*(-8 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/47 in 4, 2\/193, -5, -3, 5?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16403.8695 + 16399. Let d = 73.1 + -78. Let l = d - p. What is l rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzynnqfqy. What is prob of picking 1 q and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from culhuuucp. Give prob of picking 1 h, 1 p, and 1 c.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155257?\nAnswer: 107, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 92?\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + ((-4)\/3 - 1). What is the nearest to 0 in -2, t, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 3, x: 4, u: 5, c: 3}. What is prob of picking 1 x, 2 c, and 1 k?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -22567500 to the nearest 10000.\nAnswer: -22570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21246.81 + -21248. Which is the third biggest value? (a) 2 (b) 4 (c) -12 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 16 - 10*t - 33 + 0*t to the form j*t + c and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-5*r + 0*r + 3*r) + r - r - 2*r - r + 0*r + 0*r + (-2 - 2 + 6)*(-r + 2*r - 3*r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-26))\/((-13482)\/9737).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -293, -802, -1555, -2552?\n\"Answer: -122*x**2 + 101*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 1024, 1532, 2040?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7701994 is divided by 3443.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/62)\/(77\/(-22))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 23163?\nAnswer: 23172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7659 (base 10) to base 4.\nAnswer: -1313223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2 - (-19 - -13)) + -10. Suppose 7*h - 117 = 4*h. What is the remainder when 903\/h - x\/(-26) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(576)\/(sqrt(12) + sqrt(48)))\/(sqrt(576) - (sqrt(576)*1 - sqrt(576))))**2.\nAnswer: -2*sqrt(3)\/9 + 433\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 33*o**2 + 143*o + 62. Let f be s(-20). Suppose 0 = -w + 13 - 3. Solve -b + 10 = f*q, w = -b - 4*b + 2*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5968273 to the nearest integer?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -23 + -7 - 34?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1312293.4 and -15.\nAnswer: 19684401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -14) + -7 + -3 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9342390181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 4 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.11 (b) -3\/5 (c) -792 (d) 55 (e) -1\/6 (f) -2\/3 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3212, 3202, 3192?\n\"Answer: -10*z + 3222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249497020 a multiple of 3603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-42)\/(-112)*(-1 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -21 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4777 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1662*n + 35. Is w(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -25*g**2 - 2*g. Let y(f) = 91 - 5*f**2 - 233 + 142 + 104*f**2 + 9*f. Give 9*w(x) + 2*y(x).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 3*u**3 + 0*u**3 + 0*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -14 + 5 + 21.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = i - 18, 9 = -5*a - 16. Let n = -9 + i. Suppose -5 = -n*j + 39. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 313, 654, 995, 1336?\n\"Answer: 341*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4860)*1 - sqrt(4860))*-5 - 6*(sqrt(4860) + -1*sqrt(4860)))\/(1*(1*sqrt(108)*2 - sqrt(108))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143004 (base 13) to base 11.\nAnswer: 306823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 511\/8 + -125\/2. Let t = 4433\/34824 + -10\/4353. Factor a*g**2 + t*g**3 - 9\/2 + 3*g.\nAnswer: (g - 1)*(g + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -58.\nAnswer: 66\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15287 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 24*l - 6. Let a(d) = -8 + 4*d - 2 + 5 + 21*d. Let i(u) = -6*a(u) + 5*b(u). Let g(o) = o. What is i(g(m))?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 1\/4 (b) 1147.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = -2. Suppose i = -2*s + 123. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 i when three letters picked without replacement from {o: 3, i: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -18328065\nAnswer: -3665613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1837*p + 1837*p + 160*p**2)*(8*p - p + p).\nAnswer: 1280*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 5139050*i\/3 - 15417123.\nAnswer: -(i + 9)*(i + 5139041)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 2*y + 2. Let m be (7 - 3)*2\/(-4). Let i be o(m). Solve i*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:13 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Let x = -208\/3 + 70. Let a = -79\/420 - -9\/28. What is the nearest to x in -4, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxl when three letters picked without replacement from {l: 3, c: 1, x: 1, i: 1, z: 5, y: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 889328938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u - 3434 = 21370. Calculate the lowest common multiple of 40 and u.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d = 34*d - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-12) + 1 + 1. Let g = -16\/9 + 94\/63. Which is the nearest to g? (a) -0.2 (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 84747. Let d(b) = b - 29. Determine d(y(t)).\nAnswer: -4*t + 84718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 542783 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 420c?\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 0.629017.\nAnswer: 5.661153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**2 + 64*y - 8. Let a be s(-6). Let b(d) be the second derivative of -a*d**2 + 0 - 8*d + 0*d**3 + 1\/4*d**4. Differentiate b(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -7*w + 244. Suppose -m + 90 = -f + 2*f, m - w = -5*f. What are the prime factors of m?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857410 is divided by 8654?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 43*a + 0 - 4 + 7.\nAnswer: -43*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -126, 1\/2, -1\/5 in descending order.\nAnswer: 1\/2, -1\/5, -50, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3*8\/36)*2. Let k(m) = -2*m + 1. Let t be k(3). Sort 3, g, t in decreasing order.\nAnswer: 3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 - -5164012.2\nAnswer: 5164012.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**2 - 2*o**2)*(-2 + 0 + 5)*(-3*o + 2*o - 2*o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59105628 divided by -4.\nAnswer: 14776407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u - 16*u**2 + 1\/4*u**4 + 1\/120*u**6 + 0 - u**3 - 1\/10*u**5. What is m(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {h: 1, a: 3, x: 3, w: 3, v: 1, g: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*w - 217, -4*u + 5 + 7 = 0. Suppose -6*n = -130 - w. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6501.7 + 6502. Which is the biggest value? (a) 39 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 353*f**2 - 1139*f + 25048. Give u(356).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -71. Sort 0.3, u, 2\/7, -5.\nAnswer: -5, 2\/7, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**5\/20 - 3*d**4\/4 + d**3\/6 - 11*d**2\/2 + 6*d + 10. Calculate f(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.94000576 rounded to one decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3809063 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 14*s**2 - 3*s + 12. Let b(t) = 2*t**3 + 27*t**2 + 6*t - 26. Let k(c) = 3*b(c) + 5*i(c). Suppose -4*f - 22 = 18. Does 14 divide k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {v: 1, h: 1, g: 1, y: 5, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6570041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11151345 (base 8) to base 7\nAnswer: -26340550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 4)\/(((-18)\/34)\/(-3)). Solve 3*v = -5*q - 4, -q - q = -5*v - z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 2, 34393 in decreasing order.\nAnswer: 34393, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**3 + b**2 - b. Let s be (-366)\/4 - 30\/(-20). Let d = 91 + s. What is o(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -46. Suppose 3*i = s*i + 5. Let k = 7 + -3. Calculate the least common multiple of i and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28776939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + 2705\/70. Let n = -39 + f. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = -8*n - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1322*x**2 - 100*x**5 + 2*x - 662*x**2 - 662*x**2 + (0*x + x + 0*x)*(-3*x**4 - 3*x**4 + 3*x**4).\nAnswer: -103*x**5 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 1) + 0 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*h - 2*h + 31, w - 1 = -5*h. Suppose -w*z = -0*z - 18. What is the remainder when 83 is divided by (z - -1) + 48\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(171)*3 - (sqrt(171) - (sqrt(171) + -3*(sqrt(171) + sqrt(171)*2 + sqrt(171) + sqrt(171)))))*1)\/((-1*sqrt(1296)*-5 + sqrt(1296))*-1).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, -21\/50.\nAnswer: -21\/50, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.359835 to 2 decimal places.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 6*d**2 - 5*d + 4. Determine v(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 9. Let c be v(-6). Find the third derivative of 5*u**2 + 3*u - c*u - 2*u**3 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53979272 is divided by 3598614?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110021010111 (base 3) to base 9\nAnswer: 407114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 7*b**3 + 2*b**2 - b**2 + (-3 - 4 + 1)*(-4*b**3 + 4*b**3 + 7*b**3).\nAnswer: -49*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16696*a - 989309 = 3698*a - 208996 + 194537 for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 99. Sort f, 66, 1\/4 in ascending order.\nAnswer: 1\/4, f, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51143650 to the nearest integer?\nAnswer: 7151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39667?\nAnswer: 39667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 278199 * -21.8.\nAnswer: -6064738.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9402*v - 84672. Give u(9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-68)\/323 - (-28526498)\/418?\nAnswer: 5, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3, -0.06 in ascending order.\nAnswer: -3, -0.06, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 248*a + 230*a)*(a**3 - 5*a**3 + 2*a**3).\nAnswer: 36*a**4 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 0 - (2 + 10). Let a = 20 + d. Let z = 49 + -29. Calculate the greatest common divisor of z and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 - 10) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2 + (-6 - -2)*6\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 2*q + 560. Suppose q = -k + 5*k. Solve -2*j = -0*j - 5*w - 21, -4*w - k = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 403 and 4154434.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/4 + t**4 - 11*t**3\/4 - 13*t**2\/2 + 16*t - 8 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:11 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvvqvvvqv. Give prob of sequence qqqv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0 + 0*p + 0*p**4 + 0*p**3 - 3*p**2 + 1\/20*p**5. Let h(g) = -2*g. Give n(h(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*r + 10 - 8 - 13.\nAnswer: 147*r - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -4606131.\nAnswer: 5\/4606131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + sqrt(220)*5 + sqrt(220))*-3)\/(sqrt(55)\/(sqrt(22)\/(sqrt(18)\/sqrt(9)))).\nAnswer: -42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 117718039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5279398 is divided by 1157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (79 - -1) - (6 + 4)) + (-8 - 2).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = -54. Let r = 27 - u. Let y(a) = 2*a - 9. Let c be y(r). Solve -2*w - 11 = 5*s, -w - c = 2*s - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(2) - (4 + sqrt(2))) - (sqrt(28)\/sqrt(2))\/sqrt(7)).\nAnswer: 5*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 12. Let n(j) = -j - 6. Let f(y) = -3*k(y) + 5*n(y). What is the tens digit of f(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176605 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 984510 and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f + 1. Let h(y) = 29*y**4 + 29*y**3 + 29*y. Let q(x) = -h(x) + 29*p(x). What is the first derivative of q(w) wrt w?\nAnswer: -116*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 698\/721*(-2049)\/524. Let l = 2\/13493 - w. Calculate the common denominator of l and -15\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3282 = 378*k + 5573 + 12451 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2378921\/6 - 341381507\/861. Let i be 0\/(-2) + 118\/82. Let x = r + i. What is the common denominator of -11\/2 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923155 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3905 and 3590115.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80325 - 4498085\/56. What is the common denominator of f and -93\/22?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x - 33. Let i be n(0). Let c be 196\/(-352) - 6\/i. Let b = -1\/63 - 13\/63. What is the closest to -0.1 in 0.5, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4aa5321 (base 12) to base 5\nAnswer: -12222224323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*d = -2655, -5*l - 14*d + 10*d = -2660. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -296 - -467. Let h = 266 - i. What is the remainder when h is divided by (-1)\/(-4) + (-381)\/(-12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(152) + 2*(sqrt(152) + sqrt(152) + sqrt(152)*-1))*1)\/(sqrt(968) - (sqrt(968) - sqrt(968)*1*-4) - sqrt(968)) + -4)*-5)**2.\nAnswer: -600*sqrt(19)\/11 + 52675\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 10*s - 10. Let o(a) = -2*a**2 + 9*a + 13. Determine -2*o(u) - 3*q(u).\nAnswer: -2*u**2 + 12*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 4. Let b(f) = f - 8. Let z(a) = -3*b(a) - 5*s(a). Let r = 27 + -30. Let k be z(r). What is the second smallest value in k, 0.9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 - 3*m**2 + 0*m**2 + (-m**2 + 7*m**2 - 3*m**2)*(3 + 5 - 2) + 5*m**2 - 3*m**2 - 3*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnny when four letters picked without replacement from lynyydn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/(145\/40)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 4*p - 18. Let h(t) = -36*t**2 - 22*t + 99. Let w(q) = -2*h(q) - 11*o(q). Let x(c) = 4*c - 3*c + c. What is x(w(r))?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 8, -67 in ascending order.\nAnswer: -67, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016635 to 7 dps.\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 22. Solve -p*a = -5*a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/61344530 and 63\/61344530?\nAnswer: 61344530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33864*a - 33909*a + 540 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 180901, 180898, 180895, 180892?\n\"Answer: -3*a + 180904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeegs. What is prob of sequence sg?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66a320 (base 11) to base 7.\nAnswer: 12035154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(2\/13)))**(13\/2)\/(l**(-8\/3)\/((l\/l**(-8\/5))\/l*l)) assuming l is positive.\nAnswer: l**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Let g = -771 - -777. What is the biggest value in -4\/7, g, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3872 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*-7*88\/(-88)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4 - 42*n**3 + 176*n**2 + 792*n + 576 = 0 for n.\nAnswer: -24, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 713 - -2006. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 366\/(-72))\/(6\/54). Let 0*u + 1\/4*u**4 + 1\/2*u**2 + 0 + a*u**3 = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 + 81 - 112)*(-2*n - 4*n + 4*n) in the form r*n + z and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549466 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 344291677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63823811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 122224 (base 15) in base 7?\nAnswer: 10243126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 52*q**2 + 184*q - 272. Let u be j(-48). Calculate the greatest common divisor of 2408 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 4*y + 17. Let b be p(-8). Is b <= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 11 = -q, -2*x + 3*x - 2*q = -8. Let i(v) = -4*v - 21. Let t be i(x). Let h be (-4 + 4)*t\/9. Let d(g) = g - 4. Give d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114.4 - -119.09. Round k to 1 dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 190, -4, 86 in descending order.\nAnswer: 190, 86, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:59 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2507 (base 8) to base 7.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 761 - 748. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -105351?\nAnswer: -105350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m = 22722 - 132972. What is the highest common factor of m and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 4}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -6*(-84)\/72\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 58.4. Let y = -0.04 - x. Round y to one dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 913858997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 352 = 2*c, -4*j - j - c = -349. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*x + 13*x**4 - 1414704*x**3 + 1414704*x**3 + (-x**2 - x**2 + 4*x**2)*(-3*x**2 + x - x) to i*x**3 + h*x + n*x**2 + y*x**4 + w and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15360 and 1725440?\nAnswer: 5176320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1061988892 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2596\/(-154) + 17 - 1\/7. Put -5\/7, 5, d, 16 in decreasing order.\nAnswer: 16, 5, d, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1442883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171574198 is divided by 2225?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, -133, 2, -7 in decreasing order.\nAnswer: 2, -4, -7, -15, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/12 - o**3 + 5*o. Let c be r(6). Solve -3*k = -4*k + 2*t + 3, -2*k + 3*t + 2 = c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98621248?\nAnswer: 2, 11, 19, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 5 = 22*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 + 2*s + 7. Let t(n) = -24*n**2 + 9*n + 35. Let u(h) = 11*d(h) - 2*t(h). Let x = -2 + 9. Let a be u(x). Round a to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, z: 10}. What is prob of picking 4 z?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 576 + 161 = 0. Let y = k + -44. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqx when three letters picked without replacement from xqxqqxxqxxxqxx?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650 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: What is -1000001011101010001 (base 2) in base 14?\nAnswer: -6d9cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 6}. Give prob of picking 4 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 2. Let u(i) = -7*i - 9. Let x(l) = 3*l + 4. Let a(w) = -4*u(w) - 9*x(w). Let c be 7*4\/28*(2 - -1). What is c*a(k) - n(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -3)*(882\/(-72))\/(-49). Let j be (-2)\/(-10) - (-869)\/(-20). Let k = -43 - j. Which is the nearest to 0.1? (a) k (b) p (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.409\nAnswer: 0.1227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735c (base 14) in base 15?\nAnswer: 36647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 3. Let h(t) = 5*t + 9. Let q(a) = 11*d(a) + 4*h(a). Let l(u) = -u + 6. Let r be l(4). Suppose -4*n = -f + r, 2 = -0*f + f + 5*n. Give q(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18, -5, 2, 12218?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 3*l - 3*l - l + 3*l + (-3*l + l + l)*(-1 + 2 + 1) + 0*l + 0*l - l + (0*l - 2*l + 0*l)*(3 - 4 + 2))*(0*l**2 - l**2 + 0*l**2).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/9, -107, 0.02, 6, 0 in descending order.\nAnswer: 6, 0.02, 0, -5\/9, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**0)\/p)**(10\/11)\/((p**(1\/7)*p)\/p**(-1\/11)))**(-31) assuming p is positive.\nAnswer: p**(2945\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 717 = -0*i. Let p = -12\/259 + -8976\/7511. What is the common denominator of p and i\/(-30) + (-4)\/(-6)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - 4*j)*(-8*j**3 + 6*j**3 + 3*j**3).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92, -27, 94, 283, 552, 913, 1378, 1959?\n\"Answer: 2*l**3 + 16*l**2 + 3*l - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3780)\/105)\/(12\/(-12)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u - 10*u + 56*u = 21*u. Solve -2*r = -5*q - 17, u = -0*r + 5*r + q + 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2356061 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*l + 27, 2*z - z - 28 = -5*l. Suppose 0 = 5*u - 25, -5*p - 7 - z = -u. Which is smaller: p or -2\/23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5043 - -25?\nAnswer: -5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/142 (b) 3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(3\/5)*i**(1\/6)*i**(5\/3)*i**(2\/11)*i)\/((i\/i**3)\/i**(8\/7))**(1\/12) assuming i is positive.\nAnswer: i**(5633\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-56)\/(-6))\/((-6)\/(-9)). Let u(d) = o*d - 2 + 3 - 9*d. Calculate u(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312000 (base 4) in base 7?\nAnswer: 13035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1166411 divided by 343.\nAnswer: 1166411\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((-3 + sqrt(1900))*-1 + sqrt(1900))*-5)**2 - (sqrt(1900) + ((3*sqrt(1900) + sqrt(1900))*3)**2 + -4)).\nAnswer: -1093484 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -16. Is -3 - (-129*f\/3)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-116)\/(-40)) + 9\/(-6). Put 0.3, -0.5, a in decreasing order.\nAnswer: 0.3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/2 (b) -122\/11 (c) 2\/9 (d) -0.1 (e) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 7*g**4\/4 - g**3\/3 - 2*g**2 + 18*g. Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u\/(u**(-15\/4)\/u))))*u)\/((u*u*u**(-6\/7)\/u)\/u))\/(u*u**(-1\/25))**48 assuming u is positive.\nAnswer: u**(-34281\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2039086 and 4536?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 5*b = 35*k - 20, 0 = -k + b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.1 - -48. Let q = -1.8 - j. Which is the biggest value? (a) 5 (b) 3\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2464391 or -2464390?\nAnswer: -2464390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(605) - sqrt(605)) + sqrt(605) + -5 + sqrt(5) + -1) - (sqrt(20)\/(sqrt(20)\/sqrt(5)) - (sqrt(60)*-2)\/sqrt(12)).\nAnswer: -6 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*d**3*k*s + 2*d**3 - 8*d**2*k*s - 4*d**2*k - 116*d**2 - 1603*d*k - 155*s wrt s?\nAnswer: -15*d**3*k - 8*d**2*k - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/(-2)*(1 + 1). Let k = f + -153\/5. Let z be (-1*1)\/(-4 - -5). Is z at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-19)\/(-4))\/(8\/(-64)). Let m = 54 + t. Solve m = 4*n - 0*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100945147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 - 9*j - 1. Give z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 40, 2, 1, -28, 2.83, -0.09 in descending order.\nAnswer: 40, 2.83, 2, 1, -0.09, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*n = -4*j + 16, 5*j - 4*n - 19 = 0. Let p be 0 + j + -8 + 7. Find the second derivative of -1 + 1 + p*v**2 + 2*v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-293)\/(-4)*(2 - 40\/(-4)). Let d = 1991 - h. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-21) + (-9)\/(-7). Let c = m + -1. Suppose c*q + 60 = q. Calculate the greatest common divisor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 10. Let o(p) = -7*p + 143. Let w be o(20). Suppose -2*l = -10*b + 7*b + 23, -2*b - 41 = w*l. Give g(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/i**0))\/i)\/i**(2\/13))\/(i**(1\/7)*i**(-1\/2)))\/((i**1)**(-3\/14)*(i**(-1)*i*i)**(-5\/12)) assuming i is positive.\nAnswer: i**(-181\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 11) to base 4.\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 (base 5) in base 6?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*r = -761, a = 5*a + 3*r - 598. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2. Let o(j) be the second derivative of 0 - 1\/12*j**4 + 0*j**2 + 0*j**3 + 9*j. Calculate o(d(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (12*-11249)\/(-3) - 9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754894 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134793 and 6921.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41398192 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Suppose -5 = 4*f - w*f. Solve 18 = -d - f*b, 2 = -3*d - 2*b - 0*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + (-12)\/(-18). Suppose -2*j + 4*b + 18 = 0, 0 = 4*j - m*b + 4*b. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -294, -293, -292?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*x**4 - 4*x**2 + 177*x**4 - 3 - x**3 + x**3 to b*x**2 + v*x + a*x**4 + f*x**3 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 7) to base 13\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -5, 0, 2.2 in decreasing order.\nAnswer: 2.2, 0, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1396*p - 103336. Calculate y(74).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-283832)\/(-5) - (-17 - 25\/((-625)\/410))?\nAnswer: 56767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.606138 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*x + 37*x - 1500 + 8610*x**4 - 8603*x**4 wrt x.\nAnswer: 28*x**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -0.02 (c) 43 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 21. Let t be j(-10). Let q(f) = -f**2 + 3*f - 3. Let o(s) = s**3 + s**2 - s + 1. Determine t*q(p) + o(p).\nAnswer: p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 smaller than -1196244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1183, -1232, -1281?\nAnswer: -1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 534 + -507. Let z be (-4)\/(-3)*o\/(-18). Which is smaller: z or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 856680 and 2855600.\nAnswer: 8566800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - 12. Let d be 10\/b + (-1)\/(-3). What is the derivative of 4 + d*l**2 + 5*l**2 - 9*l**2 + 6*l**2 wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -275c81?\nAnswer: 275c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/5 - 21*m\/5 - 18\/5 = 0 for m.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 7:37 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10231755 and 5456936.\nAnswer: 81854040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a - 338. What is d(-22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20505*c**5 - 2*c + 5076 wrt c.\nAnswer: -410100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-28)\/(-6) + (-672)\/576)\/(1\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 181079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37816 + 255.\nAnswer: 254.62184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35639 and 314?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.66 - -595.99\nAnswer: 595.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiirrsiasaiiiirin. Give prob of sequence rin.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857 = 93*f + 569 - 403 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 23529*i - 23545*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37661568001 + 37661568002 + 2*j**2 + 0*j**2.\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 182631852 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 68 - 4 = 0. Which is the closest to 6? (a) n (b) -4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -1a?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/2))**(-4))**15 assuming f is positive.\nAnswer: f**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83? (a) -173 (b) -2\/5 (c) 5 (d) 0.074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 25 = 5. Let z(c) = -c**3 - 4*c**2 + c + 3. Let p be z(y). Let k be 14\/p*(-12)\/42. Solve k*n + n - 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (42 - 27 - (-2 - (-5 + 4))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -0.1595.\nAnswer: 0.00957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3758526nm to kilometers.\nAnswer: 0.0000000000003758526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-56))\/((-51)\/(-204)). Which is the closest to -0.6? (a) -0.1 (b) 4 (c) 0.5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57694\/1585 + 4\/(-6)*(-6)\/(-10)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724277589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 43. Let v be t(9). Is (6\/4 + -1)\/(v\/5306) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (2375\/(-285))\/(1 - 68\/66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 807347 and 11560?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8396 greater than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.807 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 8\/4) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -1a3?\nAnswer: -19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 13 = -2*p + 6*l, -4*p + 4*l = 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5435 + -5397. Let t(j) = -7*j + 267. What is t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x - 16. Let r = -18 - x. Let h(t) = 859 + 2*t + 0*t - 865. Let u(k) = 1. Calculate r*u(i) - 2*h(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 153241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y - 60*y - 31*y to j + v*y and give v.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1568) + sqrt(200) + 1)**2 - ((5 + sqrt(98)*3)*-3)**2.\nAnswer: -5274 - 1814*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + sqrt(2448)*2 + -2)*-1*5 - (2*(sqrt(2448) + -1 + sqrt(2448)) - (5*(-1*sqrt(2448) + sqrt(2448) - sqrt(2448)))**2)*3.\nAnswer: -324*sqrt(17) + 183616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -11. Let t be (-4)\/12*(-1 - k). Suppose -31 = -t*j + 3*q + 14, 0 = -2*j + 4*q + 36. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*b + 68*b + 273 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = -z, 3*z = -2*c + 6*c - 16. Suppose 5*n + 161 - 426 = z. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076864737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 - 6*j**2 + 0*j**2 + 8*j**2. Let c(l) be the first derivative of l**2\/2 + 5. Let d(n) = 5*n. Let p(f) = -4*c(f) + d(f). What is p(y(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 13. Let v(j) be the first derivative of -2*j**3\/3 - 5*j**2\/2 + 9*j + 2. Let w(s) = -s**2 - 3*s + 4. Let c(t) = b*v(t) + 5*w(t). Calculate c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24d (base 16) to base 5\nAnswer: -4324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 1\/12*i**5 + 0*i + 0*i**4 + 0*i**3 + 11*i**2 + 0. Let m(y) = 3*y. What is m(h(w))?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -8. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(4) - sqrt(4)*3) - sqrt(40)*2*1)\/(((sqrt(800) - (sqrt(800) - 2*sqrt(800))) + sqrt(800))*5 + sqrt(800) + -1*sqrt(800)*1).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192 - -57. Let m = 154089909 + -154090043.999927. Let y = k - m. Round y to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let o be (-2)\/((0 - -1)\/1). Let v be k(o). Solve -6*h - 4*x = -h - 30, 0 = v*h + 2*x - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -92. Let b = r + -43. Let n = -17.1 + 16. What is the third biggest value in n, 2, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 - -220. Solve 0*t = 5*w + 2*t + 33, -4*w + d*t = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -4 + -1 + 1 + (-13 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -7339?\nAnswer: 1467.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1764310 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 495065013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 833*w + 5 = 838*w. Let v be w\/((-49)\/(-126))*42. What is the greatest common factor of 243 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1163531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -1\/75 (b) -2353 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g**2 + 24750*g - 49500. Calculate v(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*o**3 + 22*o**3 - 127*o**2 - 15*o**3 - 51*o**3 wrt o.\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*4.4\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 3)*-244 + (-95)\/(-19). What is the greatest common factor of 50 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:13 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -349315+-2881.1423\nAnswer: -352196.1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30303 + 47619 = -1653*g - 245*g - 100*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -2*h + 1\/4*h**4 - 3\/2*h**2 - 1\/3*h**3 - 3. Suppose 0*r - 3 = -r. What is n(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20 - (-4 + 7) - (6 + -7). Suppose -5*c - w + 5*w + a = 0, 2*w + 6 = c. Solve c*x = 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109240 divided by 13655.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(9*i + 20*i + 17*i)*(8 - 18*i**3 - 8 - 43*i**3).\nAnswer: -2806*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 3*i - 7. Let o be p(-7). What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-15)*w*w**(-12)*(w\/(w\/w**(-31)))\/(w\/w**(4\/7)) assuming w is positive.\nAnswer: w**(-402\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 115*b**3\/3 + 3*b**2 - b + 1. Let n be d(8). Suppose v + 32593 = -n. What is v rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 554342202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 659*k - 59949. What is u(550)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 37 = -4*z. Let h(r) = r + 3. Let w be h(1). Solve -6*m + w*m = -z*g + 12, -5*g = 5*m + 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeyn when four letters picked without replacement from {x: 4, d: 1, n: 4, e: 2, y: 3}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39581.36mg to micrograms.\nAnswer: 39581360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243424?\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*v**3 + 1 - 8*v**3 - 18*v**3 - 2*v + v**2 - 2*v**3 as r + g*v**3 + q*v + s*v**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-36))**(2\/21))**(-4\/13) assuming c is positive.\nAnswer: c**(96\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75961294?\nAnswer: 2, 137, 277231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 677667053?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 639\/(-568)*(-20)\/(-135).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 73.6?\nAnswer: 22.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2\/7*g**3 + 258\/7*g + 34 + 18\/7*g**2 = 0?\nAnswer: -7, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + 36. What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 28 = 22*y. Let w be 2\/((-20)\/(-15) - 1) + y. Solve -w*z = -6*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:36 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 2290 and 23163.2.\nAnswer: 25453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((2*-1*sqrt(66))\/(sqrt(66)\/sqrt(44)) - (-1 + sqrt(55)\/(sqrt(55)\/(sqrt(11) + (sqrt(11) - sqrt(44)\/sqrt(4))) + sqrt(5)))))**2.\nAnswer: 27*sqrt(11) + 927\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -2*d + 5*u, -5*u = d - 4*u - 133. What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1672 and 53\/146212.\nAnswer: 5556056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-7 - 28)) + -16 - (-4 - -32)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 8:51 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 329078 and 37?\nAnswer: 329078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0\/((-4)\/(-1)))\/1)\/(-5). Let n(s) = 3*s**2 + s + 531. List the prime factors of n(l).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 2 + -2 + 1. Let w(l) = 49*l + 246. Let v be w(-5). What is the derivative of v - y + 9*u - 2*u - u wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i - 1\/3*i**3 + 0 + 0*i**2. Let f(u) = 8*u. What is f(w(q))?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -37*t - 60. Let m be v(-2). Let o(f) = -f**2 + 12*f + 38. Let i be o(m). Solve 0*l - i = -2*l, -2*l + 15 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1783 - 1781 + 3566 + 3*k. Suppose 3*n = -4*v - 13, -5*v + 2*n - 5*n = 17. Calculate j(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.026 (b) 1880 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = -23*m + 48. Let j be 16\/m*((-6)\/(-4))\/(-1). Suppose -j*b + 16 = y, 1 - 5 = -4*y - b. Solve -a - 5*s = -25, y*s - 4*s = 4*a - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1173 - 1162. Solve 0 = 3*y - 13 + 1, p = 5*b - y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*h**3 - h**2 + 167*h**3 + 2*h**2 - 414*h**3 to the form n*h**2 + p*h**3 + f*h + w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9089\/14 + 649. Let k be -3*(-1 + 5\/(-3)). Let f be (-4)\/(-18) + k\/(-18). What is the smallest value in 5, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-3)*3 + -151. Let f = -70 - j. Let z = f - 1. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*z + 15 = 0, -3*u + 4*u - 2*z = 3. Suppose 2*n + 6 = -3*x, -4*x + 0*n = n + 3. Let f = u - x. Solve f*o + 3*d + 0*d = 6, 3*d = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(3 - 0) - 15. Let x be 225\/12 - 3\/j. Let v = x + -5. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -56. Suppose 37 + 5 = p*r. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 7) + (0 - -2) + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.2 and 272772.\nAnswer: 272770.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2814\/11 - -256. Suppose 4*n = -n + 35. Let m = 12 - n. Sort m, r, -0.3.\nAnswer: -0.3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15951 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(458*j**2 - 458*j**2 + 3229*j**3).\nAnswer: -3229*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/(-9) - (4 - 33\/9). What is the second derivative of -84*i**4 - 65*i + 173*i**x - 2*i**2 - 120*i**5 - 89*i**4 wrt i?\nAnswer: -2400*i**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*x - 223*x - 35*x**2 - 226*x.\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y**5 - 14454*y**4 + 1400142*y**3 - 11309148*y**2 + 27452451*y - 20639430 = 0.\nAnswer: 21\/13, 2, 5, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 2, -10.45, -1, 2\/3 in descending order.\nAnswer: 2, 2\/3, 4\/7, -1, -10.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3)*-2*4)**2*-1.\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**6\/120 + p**5\/80 - 5*p + 1. Let x(l) be the first derivative of g(l). Factor x(y).\nAnswer: -y**3*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3*p**2 - 4 + p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 4*i, -3*q - 267*i + 222*i + 40*i = 64 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11 (b) 3 (c) -12191\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666\/9240 + 666\/(-21978)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19 + -10.2.\nAnswer: -10.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/2675 + -7997\/18725. What is the third biggest value in 29\/3, -7, j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-60))\/((-388)\/(-6402))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from hrhnh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10946.99985442 - 10947. What is k rounded to 6 decimal places?\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*d**3 + 136*d - 136*d.\nAnswer: 104*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333\/10 + -2199\/80. Find the common denominator of 91\/44 and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 44?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:55 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2450)\/(-1575) + ((-66)\/(-27) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2288077 is divided by 856?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -21. Are o and -27 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 26 = 4*p. Let i be 34\/90 - (-2)\/p. Let h = 1105 - 1107. What is the nearest to 2 in h, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/3612 and -71\/960.\nAnswer: 288960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/37 greater than 18\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15 = g - 3*k, 0 = 3*g - 5*k + 1. Suppose b = -g*q + 32, 5*q = 3*b - 3 + 61. Solve 2 = 10*v - q*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4 less than -0.04?\nAnswer: -8.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98597172339 - 1.\nAnswer: -98597172340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4385.2 - 4385. What is the nearest to 1\/5 in -0.4, -1\/3, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6540)\/18530)\/(2\/(-136))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 6128.\nAnswer: 37\/6128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:28 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -111608000 rounded to the nearest 100000?\nAnswer: -111600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-10)\/6 + 209\/(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1058537, -1058553, -1058583, -1058633, -1058709, -1058817, -1058963, -1059153?\nAnswer: -1059393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 4*d**2 + 2*d - 6. Let m = 1 - -3. Let f be s(m). Let o be 3\/(-9)*-3 - f. Which is smaller: o or 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.62 and 1788.0823972.\nAnswer: 1788.7023972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -553878 divided by 19.\nAnswer: -553878\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 56. Let d(y) = -y**3 + 9*y**2 - 6*y - 16. Let i be d(8). Suppose b - 2*x - 127 = x, i = -4*x - a. What is the highest common divisor of b and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4740.166mg to grams.\nAnswer: 4.740166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/16915 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a**3 + 7*a**2 + 2*a + 5. Calculate the smallest common multiple of 312 and o(4).\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/792*31 - 4\/(-22). Let m = 14 - 11.1. Let v = m - -0.1. Sort f, v, -0.1 in ascending order.\nAnswer: f, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1313*q**3 - 274*q + 5444*q**3 + 141*q + 133*q + (-2*q + 2*q - 4*q)*(q**2 + 3*q**2 - 6*q**2).\nAnswer: 4139*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*p = 8, 5*r - 3*p = 35 - 0. Let q(a) = 7*a**2 + 9. Let s be q(r). Find the second derivative of 16*c**2 - 11*c - 121 + s wrt c.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.4 - 8.6. Let h = 49.1 + z. Let j = h - -1. Are 0.1 and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 50 = -5*z, 0 = 4*z - 3*y + 2*y + 43. Let f = -6 - z. Suppose 20 + f = 2*s. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 18. Let v be 14\/10 + x\/(-20). Let s(w) = 3*w + w + 2 + 4*w**2 + v*w - 2*w. Give s(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + 0*q + (3*q - 4*q + 0*q)*(7 - 134 - 73).\nAnswer: 198*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at most 78\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 + -260. Let i be (5 - n\/(-24)) + (-13)\/(-44). Which is the third biggest value? (a) 2\/19 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -283259819*k + 404900118 wrt k?\nAnswer: -283259819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -26. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.35 - 0.43. Let a = c - -0.08. Put 2, a, -0.3 in increasing order.\nAnswer: -0.3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -34.7 and -992 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.2502.\nAnswer: 0.5004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -5dd1?\nAnswer: -5dcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 83 times 63\nAnswer: 5229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031003 (base 7) in base 13?\nAnswer: -c8116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102*0.4\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 10*b - 8. Calculate y(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -40. Suppose 2 = 4*k + 2*g - y, k - 3*g + 10 = 0. Put k, 3, 1 in descending order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 2*g**2 + 2*g - 2.\nAnswer: -2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/634?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 + 4*k - 29. Determine w(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 - 0.24. Which is the nearest to -1\/2? (a) -59 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/30*15\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 3. Let l(x) = -3*x**2 + 8. Let d(j) = -3*l(j) - 8*t(j). Let w(s) = -s**2 - 3*s - 2. Let z = 1 + -4. Let p be w(z). Give d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.05251 minutes in seconds?\nAnswer: 1023.1506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.038 in -3\/5, -5, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 25. Let q be c\/(-1 - 1\/(-3)). Let a be -4*(-4)\/(q\/15). Put a, -1, -4 in ascending order.\nAnswer: a, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-2 - (-10)\/18). Let k = -104492\/9 + 11610. What is the nearest to 24 in b, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*x + 1, -j + 0 = -1. Let h be 3 + 1 + 1 + x. What is the second derivative of -3*o + 2*o - h*o**3 + 3*o**3 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.50131ml in litres?\nAnswer: 0.08250131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 18*u**2 - 32*u + 4. Let l be p(-16). What is the third derivative of 16*c**3 + 21*c**3 + 40*c**2 - 39*c**3 - 15*c**l wrt c?\nAnswer: -360*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 24. Find the third derivative of -4*q**4 + 4*q**h - 7*q**4 - q**2 wrt q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2)*(-6)\/2. Let m(l) = 343*l**3 - 3*l**2 - 3*l + 2. Let s be m(t). Suppose s = 3*r - 3973. What is r rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9060 * -533\nAnswer: 4828980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21327313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcg when three letters picked without replacement from {i: 6, g: 2, w: 2, c: 1, k: 6}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 5*f**2)*(-15 + 7 - 5 - 7).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*j = -a - 98*j + 1175, 5775 = 5*a + 5*j. What is the highest common factor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 23*u + 12. Let r be q(-12). Suppose r = 7*z - 5*z + 8. Let i(a) = 13*a**3 - a**2 - a + 1. Let t be i(1). Put -2, t, z in increasing order.\nAnswer: z, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -i + 11*c, -43*i + 24*i + 49 = -23*i + 3*c for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12572 is divided by 3071?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 2376, 5372, 9574, 14982?\nAnswer: 21596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 6 = 3*g + 5*k, 3*g + 5*k = 2. Let z be (-5 - -2)*g\/(-3). Let v be (z + (4 - -2))*1. Solve 0 = m - 2*x - 0*x + 7, v = -m + x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -38067.\nAnswer: 38071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - -1*sqrt(832)) + 5 + (sqrt(52)\/sqrt(4) - sqrt(13)) + -4 + 0.\nAnswer: 1 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 + 25*f**3 + 130*f**2 - 600*f = 0.\nAnswer: -5, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-1*5)\/(-2*sqrt(175)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14078 - 6*h**3 + 13742 - 27779.\nAnswer: -6*h**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 426*j**2 - 12726*j\/5 - 19062\/5.\nAnswer: -2*(j + 3)**2*(j + 1059)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 9*q**2 - 9*q - 13. Let s = -3616 - -3626. Give n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1604 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)\/d**(-1\/15)*d**7\/d**(-1)*((d*d\/d**(-4)*d*d)\/d**5)\/(d**(-3)*d\/d**(-3)*d) assuming d is positive.\nAnswer: d**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22524 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -140*t + 28129. Give u(201).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 88*g**2 + 794*g + 13. What is m(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, 5.94, -0.5, 13 in increasing order.\nAnswer: -1, -0.5, 2\/7, 5.94, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1300)*2*4 + -3 - (-5 + -3*sqrt(1300) + -5)))**2.\nAnswer: 55440*sqrt(13) + 5664564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4665a (base 14) to base 7\nAnswer: 1312443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18326534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62902 and -9?\nAnswer: 566118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101 divided by -73155\nAnswer: 101\/73155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19, 0, 5 in descending order.\nAnswer: 5, 1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 444 = 20*a, 40*a + 116 = 45*a + 3*z for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-1)\/((-4)\/12). Factor -v*r + 6*r**2 + 3*r**3 - 4*r**3 - 2*r**3 + 3*r.\nAnswer: -3*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkmfkmmgmmmk. What is prob of picking 1 g and 2 k?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2. Let j = -13 - -12. Let r(k) = -8 + 13*k - 1 + 4. Let u(d) = -d + 1. Let v(m) = j*r(m) - 5*u(m). Calculate f(v(w)).\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213000003 - -32?\nAnswer: -212333311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 8. Suppose -23 = 4*k + 1. Let a be m(k). Suppose -53 = -5*i + 2*o, 21 = a*i - 0*i - o. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*w + 2212 + 684 = -87*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 + -8)\/(6\/4). Suppose s*c - 5*t = -9, c - 6*c + 30 = 5*t. Factor -6*w**3 + w**3 - 129*w + 132*w + 2*w**c.\nAnswer: -3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i**2 + 7624*i**2 + 7042*i**2.\nAnswer: 14706*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -57*f**2 - 2*f + 26. Let a be m(-6). Which is greater: a or -2013?\nAnswer: -2013","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + c + 3*c = 400, -c - 4 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1870 and 326315.\nAnswer: 652630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 331705, -1\/2, 4\/7, 2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9866 + 9843 + 9953 - 29548 - 3*f.\nAnswer: -3*f + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9630 = 35*h - 77670. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:25 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m - 1. Determine f(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 516 divide 10384745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 53*d**3 + 6*d**2 + 6*d. Let q be (-624)\/(-102) - (240\/(-272) + 1). Let x(r) = -r**3 - r**2 - r. Give q*x(s) + o(s).\nAnswer: 47*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1db6d (base 14) to base 2.\nAnswer: 10010101000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27547682 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 374*j + 3 + 11)*(2 - 3 + 2) in the form n*j + k and give n.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2043.27 - 0.2.\nAnswer: -2043.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -83.05. Sort -4, 3, f in ascending order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -72. Suppose 0*n - 3*n + 4*t + 28 = 0, x = 4*n + 4*t. Suppose -2*y = 5 - 13. Calculate the greatest common factor of n and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:43 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.143 + -0.269. Round x to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -3.02. Let v = 1.42 - y. Sort -7, v, 3\/4 in ascending order.\nAnswer: -7, v, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-19)*n*((n\/(n**(6\/23)*n))\/n)\/n assuming n is positive.\nAnswer: n**(431\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 80155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let b be -1 + ((-8)\/((-24)\/(-9)) - -2). Let m(s) = 47*s - 17. Let g(l) = -16*l + 5. Let p(q) = b*m(q) - 7*g(q). Calculate o(p(f)).\nAnswer: 648*f**2 - 72*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = -0*z + 21*z + 3*r + 1100, -5*r = -2*z - 95 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, -0.1, 4 in decreasing order.\nAnswer: 4, -0.1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*y + 148, -5*y - v - 3*v = -356. What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -90 - -1) + -21 + 31 + 36 + -55.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnd when four letters picked without replacement from {d: 4, j: 5, n: 5}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -36) + (-12)\/16*-5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7\/2)*r**(-12))\/(r**(5\/4)\/(r\/((r*r**(2\/5)\/r)\/r*r*r))) assuming r is positive.\nAnswer: r**(-323\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5632, -19384, -33138, -46894, -60652, -74412, -88174?\nAnswer: -101938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1740852024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 930, 864, 664, 258, -426, -1460, -2916?\nAnswer: -4866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390756313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 4 - 5)*6\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3 - 2*o + 0*o + 0*o. Let t be c(-3). Suppose -t*v + 83 - 26 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a + 21. Let o(x) = -7*x + 14. Let i(w) = -2*k(w) + 3*o(w). Let n(b) = -1510*b - 2. Calculate n(i(j)).\nAnswer: 1510*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 4) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9375531 and 986898?\nAnswer: 18751062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(2 - (-66)\/(-30)). Suppose -4*g + n = -2*g - 75, 0 = g + 2*n - 40. Factor 28*k + 1 + 7 - 28*k**3 + 5*k**2 - g*k**i + 36*k**4 - 11*k**2.\nAnswer: 4*(k - 1)**2*(k + 1)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/32)\/((-1)\/(0 - -4)). Let m = 17\/2 + -8. Put n, m, 5 in decreasing order.\nAnswer: 5, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i + 6 = x, 4*x - 16 = -4*i. Let r be (x + -5)\/2 - 155. What is the least common multiple of 9 and 6\/(-15) - r\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.66 - 0.34. Sort 1, -6, c, 0.1 in ascending order.\nAnswer: -6, c, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c - 4. Let u be s(-5). Let q(k) = -9*k**3 + 13*k**2 - 13. Let l(z) = 3*z**3 + 0*z**2 + 3 - 3*z**2 + 3*z**3 - 4*z**3. Give u*l(m) + 6*q(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/6)\/((-9)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w - 3. What is the common denominator of 6\/5 and ((-208)\/24)\/(2*w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**5)**17\/(((s\/s**(-3\/26))\/s)\/(s*s**(-5))) assuming s is positive.\nAnswer: s**(-1433\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -3*x**5\/20 - x**4\/3 - x**3\/2 + x + 2887. Let p(a) = -3*a**3 - 3*a**2 - 4*a. Calculate 3*m(n) - 4*p(n).\nAnswer: 3*n**3 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*3504\nAnswer: -7008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14295 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.081634930917 - 13\nAnswer: -12.918365069083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (24 + -22 + -7 - 9) + -22\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.9 or 13\/36?\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1714 or 11.8?\nAnswer: 1714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981875621?\nAnswer: 981875621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 34296 divided by 7\nAnswer: 34296\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/8 + 153069*b\/8 + 76535\/4.\nAnswer: -(b - 153070)*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z**2 - 187*z - 184*z - 185*z + 555*z - 5. Let t(n) = -n**2 - 1. What is o(i) - 3*t(i)?\nAnswer: -10*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26294722, 26294721, 26294720, 26294719, 26294718, 26294717?\nAnswer: 26294716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 343*s - 381. Does 17 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8760 and 1372592.\nAnswer: 1502988240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b - 3. Let k be t(-2). Let d = 35 - k. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/10)\/(14\/(-70))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.7354 to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3128 and 62330?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19067 - 19063. Sort -3, -153, b in descending order.\nAnswer: b, -3, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:35 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/12 - 7*f**3\/6 - 11*f**2 + 31*f - 5. What is x(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390 divided by -2?\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*m + 4*m - 2*m)*(-142 + 64 - 33) as x + n*m and give n.\nAnswer: -1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178749, -715689, -1610589, -2863449?\nAnswer: -4474269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {r: 4, z: 5, c: 3}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11596720 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebmbboeub. What is prob of picking 1 b, 1 m, and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -14.656.\nAnswer: 0.29312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1413, -4, 2\/155?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.4253 millilitres in litres?\nAnswer: 0.5744253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168403872 and 185997.\nAnswer: 10941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 1295783*b**2\/4 + 104945869922*b - 3253010663164.\nAnswer: (b - 647876)**2*(b - 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12720412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -3418132\nAnswer: -33\/1709066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.1, -22, 2\/7, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 - 81. Let c = s + 237.01108. Let b = c + -0.012. Round b to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 472174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -71\/8, 1\/1595, 0.08?\nAnswer: 1\/1595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 52. Suppose -8*t + m + 24 = 0. What is the third biggest value in -1\/2, -4, 0.12, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*k - 3*v, 29*k - 16*k + 88 = 10*k + 15*v + 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-935)\/(-45) - (-4)\/18. Suppose 4*t + 4 = 0, 15 = 3*l - 5*t - 11. Calculate the greatest common factor of l and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010011 (base 2) to base 10.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/358 + -4681\/19690. Find the common denominator of -29\/88 and w.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-84)*-7)\/((-3)\/(-2))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 496427809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -444710.2 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6918, -27830, -62734, -111624, -174494, -251338, -342150, -446924?\n\"Answer: d**3 - 7002*d**2 + 87*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2295\/16065*21\/(1\/1 + (1 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7985 + 30625. What is o rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*x + 5, 0 = -4*a - 2*x - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5411*b - 10829. Determine i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 103 - 8*j + 7*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 770 + -512. Round u to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**4 - 3*m**3 + 7*m**4 - 148*m**2 + 150*m**2 - 7 - 3*m + 5*m**3 - 3*m**3 to the form f*m**2 + t*m**3 + j*m + b*m**4 + y and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1087 from 0.3.\nAnswer: 0.4087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 2. Let d(x) = -12*x - 6. Suppose 0 = -l + 2*w - 24, 5*w = -5*l - 20 - 40. Calculate l*n(p) + 5*d(p).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 + 7171.\nAnswer: 7171.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**2 + l - 7. Determine w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/55)\/((-21)\/30 - -1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 806 = -94*s, 310*q + 301*q + 3*s + 59 = 910*q - 303*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/2)\/((-8)\/12). Suppose 0 = 9*f - 15*f + 30. Sort f, i, 2 in decreasing order.\nAnswer: f, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - 1d304ad?\nAnswer: -1d30493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5850 = -17*b. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**8\/8960 + d**7\/672 + d**6\/960 - d**5\/32 - 11*d**4\/4 + 22*d. Let n(m) be the third derivative of y(m). Factor n(p).\nAnswer: -3*(p - 5)*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8326 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: Express (2 - 3 + 7)*(-1 - 1 + 4)*((-2 + b + 2)*(b**2 - 2*b**2 - 3*b**2) + b**3 + 4*b**3 - 2*b**3) in the form f + u*b**3 + q*b**2 + l*b and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9672, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3373, 4196, 5563, 7468, 9905, 12868, 16351, 20348?\n\"Answer: -v**3 + 278*v**2 - 4*v + 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -980, -1507, -2032?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5350)\/4815*18\/105)\/(5\/((-175)\/(-6)))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4356)*-3)\/(sqrt(108) - (sqrt(108) + (sqrt(108)*-3 - sqrt(108))*6)))**2.\nAnswer: 121\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 29.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from doyydoyyyyyyy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 5065*g - 12. Let u(p) = -4*p**2. Calculate z(u(m)).\nAnswer: -32*m**4 + 20260*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12862 and 293210?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 6*c**5 + 421*c**4 - 788*c**3 + 289*c**2 + 72*c = 0.\nAnswer: -72, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1779, -1, 5, 11 in increasing order.\nAnswer: -1, 5, 11, 1779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjkkojjkjuuykjkuo. Give prob of picking 1 u and 1 k.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m - 35. Let x(d) = -d + 1. Let w(g) = r(g) + 6*x(g). List the prime factors of w(20).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02742592644 to five decimal places.\nAnswer: 0.02743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**5\/10 + g**4\/12 - g**3\/6 + 47*g**2\/2 + 2*g + 5. Is y(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1*(-30)\/(-4). Let c be 6\/t - 189658\/45. Let p = c + 4207. Find the common denominator of -7\/10 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*r - 3*m, -2*m + 3 = -r - m. Let l = -37 - -10. What is the units digit of l\/(0 - (-1)\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208994633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 7*b - 1518 = 0. Calculate the least common multiple of 12 and b.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43828670.\nAnswer: 2, 5, 131, 33457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -137 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-564.\nAnswer: -338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2534*p + 2549*p - 70530 = 0. What are the prime factors of p?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 39363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19211536 a multiple of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 49. Let a be (h\/10 - 0)*50\/60. What is the closest to a in -0.5, -1\/8, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.09.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Suppose -1 - 23 = 4*u. Let a(p) be the first derivative of p**3\/3 + p**2 - 8*p + 16831. Give u*j(g) + a(g).\nAnswer: g**2 - 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74412*t**2 + 109915*t**2 - 39290*t**2.\nAnswer: 145037*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*m**2*t*z + 30*a*t**2*z**3 - 3*m**2*t**2*z**3 - 68*m**2*t**2*z**2 + 2*m**2*t*z + t*z**2 wrt z.\nAnswer: 180*a*t**2 - 18*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -756 - -761. What is the nearest to 0.1 in 3, -70, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 17, 1, -0.12 in descending order.\nAnswer: 17, 4, 2, 1, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2 = -3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*g = -118*g + 238. Let u = 248 + g. Solve -80*o + u = -78*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 14 = 4*r - 5*v, 14 = r + 5*v. Suppose -7*j = -0*j - r. Solve f - 20 = 5*i, -j*i = f + 6 + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7245\/(-18))\/35 - -15. Determine y, given that 1\/2*y**3 - f*y**2 + 15\/2*y - 9\/2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168853, -337700, -506547, -675394, -844241?\nAnswer: -1013088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 114*o - 36. Let b(k) = 3991*k - 1248. Determine -3*b(x) + 104*j(x).\nAnswer: -117*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -210*c**3 - 6*c**2 + 89*c + 93. What is s(-1)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 637a (base 12) in base 15?\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -30*x - 104. Let h be s(-4). Let w = -18 + h. What is the closest to 0.2 in 0.1, w, -0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 3*i**2 - 6*i + 6. Let x be j(3). Let k(w) = -15*w - 45. What are the prime factors of k(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 76 = -51*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244 and 3580782?\nAnswer: 436855404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3081499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 37*u - 108. Calculate l(-27).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12734209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*f**3 - 11*f**2 + 2*f - 17749?\nAnswer: -108*f**2 - 22*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is 0.0241119 rounded to 4 decimal places?\nAnswer: 0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5161 and 4.\nAnswer: 20644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3 + 284*h**2 - 7*h - 95636 with respect to h.\nAnswer: 3*h**2 + 568*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 11) to base 14\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/12 + 5*a**3\/6 - 2*a**2 - 4*a. Let u be d(-5). Let h = 7 + u. What is the third biggest value in -3, -0.3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*g - 5*d, d + 2*d = -2*g + 16. Calculate the remainder when 25 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1192 - -1208. Suppose -4*n + 83 = r + n, -3*n = -5*r + 303. What is the remainder when r is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805877861 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -47*f**3 + f + 7. Let x be y(-2). Is 381 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**7\/210 - 7*b**5\/60 + 32*b**3\/3 - b**2 + 2*b. Differentiate o(x) with respect to x.\nAnswer: -4*x**3 - 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120972282?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 26013 = -g + 4*g. Solve 894*r - g*r = 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**2 + 1. Let b(n) = -9*n**2 - 7. Let z(o) = 4*o**2 + 3. Let v(l) = 3*b(l) + 7*z(l). Calculate a(v(t)).\nAnswer: 8*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*(21\/2)\/7. Suppose 66 = 3*w - r. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 48 + (2 - (18 + 2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 8*m**2 - 8*m + 15. Let o be w(-7). Suppose 3*a = -o - 20. What are the prime factors of a\/(-2) - (-18)\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0 + 0)*(6 - 4 - 1) + (13 - 1 - 25)*(-5*i + 2*i - 4*i).\nAnswer: 93*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6742 + 94443\/14. Find the common denominator of -39\/14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 24980*j - 24 = 24989*j, 32 = -4*m - 2*j for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 7. Let b be h(4). Let q(t) be the third derivative of t**2 + 0*t**b + 0*t - 7\/120*t**7 + 0 + 77\/480*t**6 - 2\/15*t**5 + 1\/24*t**4. Factor q(p).\nAnswer: -p*(p - 1)*(7*p - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 97*v**2. Let l(z) = 97*z**2. What is 3*l(c) - 2*m(c)?\nAnswer: 97*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/162 and (-120)\/780 + (-3435)\/234.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**7\/350 + g**6\/200 + 8*g**2 - 1. Factor x(b).\nAnswer: 3*b**3*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6228*m - 6228*m + m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 617*o**2 + o + 89402.\nAnswer: 1234*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:31 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1 - 5) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 7, q: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfrnnnnnnfdsrnn. What is prob of picking 2 r, 1 f, and 1 s?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14191, -14166, -14125, -14068?\n\"Answer: 8*p**2 + p - 14200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44139.\nAnswer: 3, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6276.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -944.2 - -944. What is the biggest value in -34, k, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 12?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 6*h**2 - 5*h. Let v(s) = 6*s + 3*s**2 - 1 + 4*s**2 + 0 + 2*s**3. Let d(y) = 4*k(y) + 3*v(y). What is d(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 3*r**2 - 2*r - 1. Let y be j(-2). Let c be (14\/14)\/(y\/(-97)). Let w = -48 + c. Calculate the remainder when w is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 30*a + 64. What is w(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 - 229*m + 2732\/3.\nAnswer: (m - 683)*(m - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(((j*j**(-2))\/j*j)\/j))\/j**(-15))**23 assuming j is positive.\nAnswer: j**437","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m**2 + 10. Let x(j) = -j**3 + j - 9. Let l(h) = -6*v(h) - 7*x(h). Suppose 3*k - 3*p = 4*k - 10, -5*k + 5*p + 30 = 0. Is l(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929428 is divided by 1127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1, -13, -8 in descending order.\nAnswer: 5, 3, 1, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 55*p + 117*p + 2 - 12*p**4 + 0 - 13*p**2 - 63*p in the form a*p + l*p**3 + d + s*p**4 + o*p**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.36157 rounded to 2 decimal places?\nAnswer: -5.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1942 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -347809*q**2*w**3 + q**2 + q*w**2 - 25*q*w - 29*q - 4*w**2 wrt w?\nAnswer: -2086854*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6137504.\nAnswer: 2, 23, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 9311.\nAnswer: 2\/9311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from ezpepeppzepppppp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1817 - 12714\/7. Suppose -4\/7 + h*q - 1\/7*q**2 = 0. Calculate q.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 111. Calculate the smallest common multiple of n and 6.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9098184 - -15778884. What is o rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 3, 1, 5, 1\/10, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -385 (base 10) to base 15.\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55359270 divided by -30?\nAnswer: 1845309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 + 17268.\nAnswer: 17268.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5076 is divided by 846.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2 and 61\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**3\/3 + 5*y - 3. Let l be a(0). Suppose -25 = -5*o, 5*o = -l*s - 14 + 194. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/38, -22, 1, 0, 1\/5, 5.\nAnswer: -22, 0, 3\/38, 1\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5024*w - 62130*w - 5401*w.\nAnswer: -62507*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (-2 + -6*(sqrt(13) - (-4 + sqrt(13) + sqrt(13))) + 2)**2).\nAnswer: -1046 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9912 and 2478.\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ekeqetkzkzzkkgg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 87 = 3*a. Let f = -399 + 331. Let c = f - -74. What is the remainder when a is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-9)*468\/26. Calculate the highest common factor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:33 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 + 348*h**2 - 9324*h + 71188 = 0. What is h?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 12:15 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/16 (b) -0.5 (c) -2 (d) -1 (e) 2\/11 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (-3 - (-16 - -17))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310089, -309588, -309087, -308586, -308085, -307584?\nAnswer: -307083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6203*-0.9933\nAnswer: -6161.4399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 296?\nAnswer: 8584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288325 divided by 8885?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - -3.6. Let l = -6.4 + 6. Which is the smallest value? (a) l (b) -1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.41 - 15.15. Let j = -0.24 - d. Let a = 12 + j. What is the nearest to -1 in -6, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 23*o - 17*o + 2.\nAnswer: -40*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/5 and 47\/57631805.\nAnswer: 57631805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 3*u**2 - u**5 + (9*u - 31*u - 5*u)*(-u**4 + 4*u**3 + 3*u**4 - 13*u**3).\nAnswer: -55*u**5 + 243*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -657, 1088, 5821, 15036, 30227, 52888, 84513?\nAnswer: 126596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 23*n. Let l(j) = -198*j**2. Determine t(l(f)).\nAnswer: -4554*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/9 + 110*l\/3 + 408 = 0.\nAnswer: -153, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 58 = -68. Suppose -m*j + j - 6 = 2*q, 3*q = 2*j + 5. Is (q*2\/4)\/((-6)\/36948) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + 0 - -1) + -5 + (-24 - -17)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -124 times -0.4\nAnswer: 49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c + 57. Determine k(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3665090 and -94.17227.\nAnswer: 3664995.82773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knulldo. What is prob of sequence lkn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 154*p - 9110. Determine h(-184).\nAnswer: -3590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 6*k**2 + 8*k - 10. Let x be p(7). Let m(b) = 0*b - 2*b**2 + 17 + 4*b - b**3 + 21 - 58 + 24. Determine m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (16 + 24 - 85).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16*(21\/(-6) - -3). Let s(w) = -w + 11. Let a be s(k). Solve a = 5*x - 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -0.78, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - c**4 - 4*c**2)*(1301*c - 112*c + 627*c).\nAnswer: -1816*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46019, 92039, 138059, 184079, 230099, 276119?\n\"Answer: 46020*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 157, -2, 2\/5, -1.27, -11?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-20) + (-132)\/120. What is the third smallest value in 1, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 8.9, 0.047?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (3 - 8 - 3). Let t = -3 + a. Let x = -6 - t. Let w(b) = b**2 - 2*b - 2. Determine w(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2*c + 1 = g, -3*g + 4*c = 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - 18) - 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4*3*(sqrt(70) - sqrt(70)*5))\/((sqrt(10) - sqrt(160))*-4 + sqrt(50)\/sqrt(5)*1))**2.\nAnswer: 15790\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-284)\/20)\/((-4)\/10) and 3\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by -11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**5 - 11782*z**4 + 273427*z**3 - 1086806*z**2 - 868092*z + 503928 = 0. Calculate z.\nAnswer: -1, 2\/5, 6, 18, 2333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3513 = 497*m + 8980 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - p = -8, h - 2739*p = -2737*p - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqsqxlxyy. Give prob of sequence lqq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/54 - 13\/117. Which is the third biggest value? (a) l (b) -2\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmss when four letters picked without replacement from {m: 2, s: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 24123*d**2\/4 + 145443591*d\/4 - 436547907\/4.\nAnswer: (d - 3)*(d + 12063)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 37 - (-53 + -1)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-11\/7))\/(q**(-35)*q))**(-50) assuming q is positive.\nAnswer: q**(-11700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 198?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5385 (b) -5\/3 (c) 0.2 (d) 2 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 596883, 1193848, 1790869, 2387952, 2985103?\n\"Answer: x**3 + 22*x**2 + 596892*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*53767.\nAnswer: 1559243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 + -1 - (2 - 0)) + (26 - -60) + -77?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -29*f + 6*f - 22*f - 4. List the prime factors of s(-3).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3560*r**3 - 14*r**2 - 11*r + 2. What is the thousands digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let d be (2\/3)\/((-2)\/(-18)). Suppose -3*j = 2*j - 25. Let z(k) = -4*k + d*k + k - j*k. Give s(z(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06343 and 0.1.\nAnswer: -0.006343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 34*b**2 + 28322*b. Let o(u) = -2*u**2. Calculate g(o(s)).\nAnswer: 136*s**4 - 56644*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -368 + 368.07. Sort -1, r, -1\/8 in descending order.\nAnswer: r, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -22504?\nAnswer: -22501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 7:26 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 74736 - 74806 - 2*y.\nAnswer: 6*y - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/143 and 63\/73762?\nAnswer: 811382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x + 33*x = 2. Suppose 4*q = -s - 7, 2*q + x + 1 = -s. Let l(r) = 12*r + 1. Determine l(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.59 + -0.09. Let s be 2\/(-3) - 1\/3. Let z = -5 + 2. Which is the second biggest value? (a) v (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 358 - 328 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64129619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-2)\/(-14) + 57\/42. Which is the smallest value? (a) g (b) 4 (c) 404\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18932899*a*b**2 - 2*a*b + 394*b**2 - 12986 wrt a?\nAnswer: -18932899*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.44223 and -6.\nAnswer: -2.65338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 43288*x - 468462736 = 0. Calculate x.\nAnswer: 21644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8204423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 235, 941, 2117, 3763?\n\"Answer: 235*y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**4 + 69 + 39*a**2 - 10*a - 211*a**2 + 25*a - 12*a wrt a?\nAnswer: 36*a**2 - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.134289211 + -0.4.\nAnswer: -0.534289211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2 + 4*u - 4. Let q(s) = -22*s**2 + 11*s - 11. What is -4*q(h) + 11*w(h)?\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 11:20 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 1\/4, 4\/11, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 - -263. Suppose 0 = -i + 13 + 26. Calculate the remainder when i is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/r**(-9))\/r)\/r*r)\/r*r\/(r\/(((r\/(r\/r**(-6)))\/r)\/r)))\/(r**(1\/3))**31 assuming r is positive.\nAnswer: r**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-257 - 14*m + 257)*(1 - 3 + 3)*(-2 + 0 + 3)*(6 - 6 - 3*m + (0 + 1 + 1)*(-5*m + 5*m + 2*m)) to the form v*m**2 + y + t*m and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8718*j**2 - 8717*j**2 - 8702*j**2 + 26141*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69867010 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27744978 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.3, 2\/55, -9 in decreasing order.\nAnswer: 2\/55, -0.1, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 20*s + 90. What is v(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 2) + (-2 - (8 + -13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38211 and 9165?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, t: 8}. Give prob of picking 4 t.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbrh when four letters picked without replacement from {h: 1, b: 1, r: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*s + 21789*s**3 - 43563*s**3 + 21772*s**3.\nAnswer: -2*s**3 + 93*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27.31525 (b) -2\/7 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Suppose 0 = -5*i + 2*x - x + 21, 25 = v*i - 5*x. Solve -i = 4*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + sqrt(4)*2 - sqrt(4)) + -3.\nAnswer: -3 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 806013 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 27*z**2 + 59*z + 29. List the prime factors of u(-22).\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(54)*-3 + -3)**2 + ((-5*sqrt(2))**2 + 0 - (-6*sqrt(20)\/sqrt(10))**2))*-5.\nAnswer: -30*sqrt(2) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2009128 equal to -2009129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -841*o**3 + 5*o**2 - 3*o. Let f(n) = -418*n**3 + 2*n**2 - n. Give -5*f(r) + 2*x(r).\nAnswer: 408*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 15*c - 40. Let y be a(-5). Suppose -5*s = y - 120. Put s, -4, 1, -19 in increasing order.\nAnswer: -19, -4, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12423 (base 8) to base 6.\nAnswer: 40551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/6 - 7*v**2 + v - 2. Let g(o) be the first derivative of b(o). Let h(f) = 489*f - 29332. Let s be h(60). Give g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -11*k**3 - 6*k - 33. What is the first derivative of a(r) wrt r?\nAnswer: -66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58628309 a multiple of 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164173 is divided by 41032.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 0, 5 in descending order.\nAnswer: 5, 0, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142011 bigger than 142012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3743149 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/152 and 111\/40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 102.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27337582*d**6 + 3313920*d**2 + d + 1 wrt d.\nAnswer: -3280509840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:49 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 6 - 0, 0 = -2*a + 4*p + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25268*k**2*x**2 - 20*k**2 - 30*k - 9 with respect to x.\nAnswer: -50536*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 16 = 5*g - s, -s = -5*g - 7. Let v be 0\/2 + (-2 - -1). Let q be (v - -1) + g\/(-7). Which is the closest to -1? (a) -2\/11 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 28, 2, -26 in increasing order.\nAnswer: -26, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-5 - -7)) + (9 - 179). Which is greater: -175 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68 times -0.25?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 q when three letters picked without replacement from rrxrrqxxrrrrrrq.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305 - 304.9. What is the closest to 1 in -1\/3, -2, s, 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -1\/12*a**5 + 0*a + 0 + 2\/3*a**3 - 5*a**2 + 0*a**4. Differentiate h(o) with respect to o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -1. Let n(c) = c**2 - 18*c - 1. Let h be n(18). Let i be (-2 - (k - -2)) + h. Solve -4*l = -i*u - 7 - 4, 4*u = 3*l - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 1, l: 1}. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -292*i*n**4 - 37115*i - 194*n**3 + 2*n + 2 wrt n.\nAnswer: -1168*i*n**3 - 582*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 2*c - 1 + 2 - 6*c**2)*(-152 + 322 + 157).\nAnswer: -654*c**2 - 654*c + 327","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f**2 + 1. Let h be j(1). Let a = -7 - h. Let u be 5\/(-4) + a\/(-4). Let r(m) = 4*m. What is r(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab4 (base 12) to base 7.\nAnswer: -12430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -62818, -126717, -190616, -254515, -318414?\n\"Answer: -63899*y + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0.2614?\nAnswer: 0.2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -159, -158, -157, -156, -155?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, 12, 110 in ascending order.\nAnswer: -213, 12, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 2. Let o(s) = -s**2 - 10*s + 10. Let f(c) = 4*o(c) - 12*w(c). What is the units digit of f(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 27, 21, -5, -57?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:40 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2238 + 701. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1256666686 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 459*u - 373*u + 681*u + 694*u + 845*u as r + n*u and give n.\nAnswer: 2306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -39.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6ad942 - 1?\nAnswer: -6ad943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-3))\/((-4)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/9 + 43*q**2\/9 + 8569*q\/9 + 210125\/9.\nAnswer: -(q - 125)*(q + 41)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flllfllhfhllhfhl. What is prob of picking 2 f?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -16\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129705 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from nnefwwewnwn?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/120 and 103\/2704?\nAnswer: 40560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 52?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7833465 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7, b: 2, p: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*a = -4*v + 33, 16 = -2*v + 2*a. Let c(d) = -2*d + 5 - 3 + 13. What is the remainder when c(v) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from nluiclr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.1 (b) -2 (c) -1 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472 and 54044.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Let b(x) = 70462*x. Calculate b(z(m)).\nAnswer: 140924*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/17 + 5548*r**2\/17 - 472376*r\/17 - 56880 = 0?\nAnswer: -2, 90, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2948*r - 2942*r + 5906*r. Let b(z) = 5*z**2 - 5. Let n(s) = 1. Let d(v) = -2*b(v) - 10*n(v). Give d(a(o)).\nAnswer: -2560*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.6 - -17.2. Let s = 1.1 + -0.8. What is the nearest to s in 4\/7, x, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1135*f**2 + 15*f. Let y(m) = -567*m**2 - 8*m. Let z(x) = -8*g(x) - 15*y(x). Let q(o) = -2*o. Calculate z(q(i)).\nAnswer: -2300*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4195843396?\nAnswer: 2, 3917, 267797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178.319 - -178. Let h = 0.209 + q. Which is the third smallest value? (a) -4 (b) h (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -17. Suppose 485*u - 9540 = 273*u. Calculate the greatest common divisor of x and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4265427 millilitres to litres.\nAnswer: 0.0004265427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*n + 6*n - 3338 = 0, 0 = 4*f + 3*n + 6698. Let r = f + 2368. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:29 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixx when three letters picked without replacement from xaiax?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 11 - 16. Suppose 3*t = -4*p + 32, -3*t = t + p - 21. Suppose -3*b = o - 0*o + f, -t*o - 9 = b. Are -1\/14 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210010 (base 3) to base 9.\nAnswer: -1703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7829546 is divided by 274?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*5\/20 + -3. Which is smaller: l or 2\/67?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {v: 6, q: 9, i: 2}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + 5 - 2*sqrt(16)\/sqrt(8)) + (5*(0 + sqrt(98)))**2*4.\nAnswer: -sqrt(2) + 9805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 874 and 1886?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14*o*o*o**(6\/11)*o\/o**(-14)*o**(-3\/8)\/o)**(-42\/11) assuming o is positive.\nAnswer: o**(-55755\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 25. Let v be 4\/(-6) - 1\/3. Let h = 1 + v. Solve -3*c = f + 2 + b, h = -2*c - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -288.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 2:31 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000077 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 26. Solve -5*s + 15 = -5*v, -3*v - x + 5 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 13. Let u = -24 + 27. Solve -u*m + g - 2 = h, g - 4 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4982 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -222, -224, -232, -246, -266?\n\"Answer: -3*v**2 + 7*v - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4145290 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.17189, 7\/23, 1.\nAnswer: -0.4, -0.17189, 7\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*w - 478*w - 2290 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2988.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 - 31*q + 215. Let c(n) = 5*n**2 - 30*n + 216. Let j(s) = -5*c(s) + 6*h(s). Let z be j(-41). Solve -a - 2*d = 3*a, z*a + 3 = -4*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/17 and (-2418)\/594 + 1\/(-9).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572083300 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -25e18?\nAnswer: -25e28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 81 - 97 = -22 - 66 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2\/7 (c) -4\/547\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7725*y**2 - 3867*y**2 + 4478*y - 3856*y**2 + (-5*y**2 + 4*y**2 - y**2)*(5 + 1 - 4) as k*y**2 + q + t*y and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1351)\/(-224))\/193)\/((-4)\/(-16)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130031 + 1?\nAnswer: -130030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -24*y + 1 - 15*y + 40*y. Calculate m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -423699441.\nAnswer: -423699442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*d*n + d + 1976*n + 353266 wrt n.\nAnswer: -58*d + 1976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.021 * -15\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 10*z**2 - 18*z + 14. Let w be y(7). Suppose 0 = -3*i - l + w, 2 = -l + 1. What is the units digit of ((-20)\/i)\/((-107)\/(-54) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*l = 69*l - 15, 0 = -2*h - 4*l - 28. Let u(v) = v**3 + 7*v**2 + 0 - 3 - 3*v**2. Determine u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.758818 grams to tonnes.\nAnswer: 0.000003758818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -17*m - 43. Let y be v(-11). What is the highest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (0 - (2 - -217)). Let y = 342 + s. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(-620 + 1657 + 1929) + 0 + 2 - 3 + (4 - 1 - 2)*(3 - 3 + 1) + 0 - 1 + 2)*(-2*b**4 + 2*b**4 + 2*b**4).\nAnswer: 5934*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -764, -1526, -2288, -3050, -3812?\nAnswer: -4574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.235219ml in litres?\nAnswer: 0.000235219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1403996.89 to the nearest one thousand.\nAnswer: 1404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ooqoqhohhqoffwqh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181619.\nAnswer: 181619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Let m(f) = -f**2 - 6*f - 4. Let n be m(-4). Suppose 9 = -x*l + n*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16 - 5 + 8 + 0 - 2*x. Let j be o(8). Suppose -5*f - 7767326 - 40732671 = -3*i, 0 = 3*i + j. What is f rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46204 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 16700000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14019543*r**6 - 39*r**2 + 37850*r - 1 wrt r?\nAnswer: 1682345160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 51.\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30015564*k**3 + 337*k + 30059 wrt k?\nAnswer: -180093384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 58*n**6\/15 + n**4\/4 - n**3\/2 - 1317*n**2\/2 + 5699*n. What is the first derivative of w(h) wrt h?\nAnswer: 464*h**3 + 6*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 746 and 1418973314?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 438925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 132*d - 2594. Give q(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1850 (base 9) to base 14.\nAnswer: -738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 92451095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-30)*(-825)\/(-330)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 7*a**2 + a - 2. Let c be y(7). Suppose c*j - 8 - 2 = 0. Suppose 2*q + 3*i = 70, -j*q - 2*i = -10 - 60. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 18*y - 80. Suppose -6*k + u + 179 = -y*k, 5*k - 3*u = 447. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6530257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 22 = -3*m - 70, -4615*m + 4618*m = 4*o - 47 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032312 - 11?\nAnswer: -1032323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0, 10 in decreasing order.\nAnswer: 10, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 233458923\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiioio. Give prob of picking 3 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-4) + (-4238)\/(-1304) + (-31)\/(-140)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76539 rounded to three decimal places?\nAnswer: 0.765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 27 + 31 - 10 - 18*n + 3*n**2 - 2*n**2. What is v(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.05 - -0.05. Let v = 2.8 + -1.8. Let f = o + v. What is the nearest to 1\/3 in 0.1, f, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 1\/2 (b) 1 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 3*c**2 - 19*c**2 - 4*c**2 + 4*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -3. Let n be 3*i\/60*-4. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.2124 rounded to the nearest integer?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -131746 in 0.3, 21\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-270570)\/(-36)*3\/(-2940). Let n = 1\/392 + k. Calculate the common denominator of (-2)\/(-5) + (-696)\/(-135) and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.029032 * 38\nAnswer: 1.103216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 4. Let q be y(3). Let t be q\/(10\/(-6)) - -5. Solve -t = -0*d - 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**2 + 6*s - 2*s - 6*s - s**2 - 1 to the form n + f*s + u*s**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 181 and 1327273?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -23. Suppose -2*q - 40 = -r*m, m - 28 = 4*q + q. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.4, 33, -13\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*k - 3*k. Suppose -k = 5*q + 28. Let v(w) = 17*w**2 - 13*w + 13. Let h(d) = 8*d**2 - 6*d + 6. Calculate q*v(o) + 13*h(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*c - 127*c + 16829*c**2 + 52*c + 51*c to y + i*c**2 + n*c and give i.\nAnswer: 16829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 4*a + 0*a)*(a + 4*a - 3*a) + 3655*a**2 - 2615*a**2 - 1591*a**2 + 2862*a**2 + 6241*a**2.\nAnswer: 8554*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20879*p**3 - 5*p**2 + 11*p**4 + 0*p**2 - 20837*p**3 to the form z*p + u*p**4 + i*p**3 + o*p**2 + r and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -70 + 55, -4*d = -4*p + 12. Solve p = -v + 2*v - 4, 2*b + 4*v = 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -40570430.\nAnswer: -3\/40570430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q + 25. Let f be l(-2). Suppose -4*j + 32 = f*x, x = -4*x - 5*j + 60. Suppose -14 = -k + x. What is the remainder when k is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - k**4 - 9*k**2 - 2*k - 1 + 1 to c*k + q + f*k**2 + m*k**3 + j*k**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.3 * 0.01356.\nAnswer: 0.193908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g = 4*a - 33, a = 2*g. List the prime factors of 2*15 - (a - 6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*n = 75, 7*n = 2*n + 25. Suppose -27*q + 20*q - 121*q = 0. Which is the biggest value? (a) -0.1 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(275) + (4*5*sqrt(275) - sqrt(275)).\nAnswer: 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -10*q + 10*q. Which is bigger: q or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*c**2 - 6*c + 39*c**2 - 3 + 4*c)*(4*c**2 + 1 - 1).\nAnswer: -44*c**4 - 8*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 10:07 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 97367*l**2 + 3*l - 5*l.\nAnswer: 97367*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12)*(-3240)\/2250*(-40)\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 6*c**4\/7 + 915*c**3\/7 - 126498*c**2\/7 - 83889*c = 0.\nAnswer: -239, -9\/2, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0018 and 0.66.\nAnswer: -0.001188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.98 times 14392\nAnswer: 57280.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 3*x + 3. Let l(v) = v**2 - 4*v - 4. Suppose -80 = 3*j - 4*a, -5*j - 2*a = a + 172. Let u = j - -37. Let p(h) = u*l(h) + 7*s(h). Factor p(c).\nAnswer: -(c - 1)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -80, -119, -174?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -4 + -1)*1. Let w(c) = -c**3 - 4*c**2 + 6*c + 6. Give w(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 + -0.84. Suppose -3*x - 4*w + 138 = 0, 3*x + 4*w = -2*x + 222. Let a = 87\/2 - x. Sort -4, h, a in descending order.\nAnswer: a, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2. Let o be a(1). Suppose -540*r + 537*r + 9 = 3*i, 4 = -2*r + 3*i. Calculate the greatest common divisor of o and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 2)*(-1 - 2*k + 1) + (1 - 1 + 1)*(0 + 6 - 2)*(95 - 95 - 16*k).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**3 - 3\/100*t**5 + 1\/50*t**6 - 1\/20*t**4 - 4*t + 1\/70*t**7 + 0 + 0*t**2. Let o(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/((-1771)\/(-42))*1\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4*q**2 + 23*f**4 + f**3*q + 574*f**3 - f**2*q**2 + 155*f**2*q - 2*f**2 - 29*q wrt f.\nAnswer: 24*f*q**2 + 552*f + 6*q + 3444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adbtbabsbsao. Give prob of sequence bo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/39, -3\/7, -4, 3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3995 - 7505. What are the prime factors of 5 + 16\/((-96)\/r)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18557139 is divided by 742284.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1732*y - 642 wrt y.\nAnswer: 1732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.054 and -0.8474?\nAnswer: 0.9014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(2 - 3) - -1. Let d be (-2 + 1)*(2 - f). Let z be 4\/6*-12*4\/(-8). Put -5, d, z in decreasing order.\nAnswer: z, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i + 33 = 0. Let m(g) = 2*g**3 + 12*g**2 - 7*g - 43. Let v be m(-2). Sort -3, i, v.\nAnswer: i, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-303 - -279) + 3 + -3 + -12?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 34*i = 0. Which is smaller: 1\/2625 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3)**(-14))**(-28\/9) assuming c is positive.\nAnswer: c**(392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11442736*x**4 + 11*x**2 - 9949*x - 8 wrt x?\nAnswer: 274625664*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4484082 times 3\nAnswer: -13452246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 328?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 11, 24, 39, 56, 75?\n\"Answer: o**2 + 8*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 7*s - 6. Let v(g) = -2*g**2 - 15*g + 11. Determine -11*n(k) - 6*v(k).\nAnswer: k**2 + 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 211 + -1289a6?\nAnswer: -128795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 123*z**2 - 145*z + 2810. What is n(122)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 720 = 10*n. Let f be 30\/n*16\/6. Factor -2\/3*i**f - 2 + 8\/3*i.\nAnswer: -2*(i - 3)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnjjyjjnjnnnnnyn. What is prob of picking 3 j and 1 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 + 1426*i - 1426*i. What is j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52803658?\nAnswer: 2, 1879, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 - 5*b**2 + 21*b - 3. Let c be g(-6). Is 338 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - p + 2)*(2*p - 5 + 5)*(76 + 9*p**2 - 76) + (2*p**3 - 3*p + 3*p)*(1 + 2*p - 1) in the form n*p**4 + f*p**3 + d*p + v*p**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 6*r - 84 = 0, -244*f + 247*f - 4*r = -58 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - d + 3*d)*(2 + 1 - 4) + d - 2 + 2 + 0*d + d + 2*d in the form t + k*d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 - -1) - (1070 - 1093)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/4 - 15*d**3\/2 - 129*d**2. Let h be y(-8). Let n = -8\/13 - -50\/39. Which is the nearest to h? (a) n (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.99 + 0.01. Let d = 376.18 + -367. Let p = w - d. What is p rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.391 from 1.39542.\nAnswer: 1.00442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 6:37 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45908287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.83 + -0.17. Let a = q - -12. Let w = 10 + -11. Is a <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 356\/18 - 22\/(-99). Suppose 3*s + 3*q = -12, 5*s - q = 3*q - j. Let i be 7 + (-3 - s) + -4. Solve -3*g = 2*h + 1, i*h - 2*h - 3*g = -7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*i*x + 23*f*w**3*x + f*w**2 - 512*i*w**3*x - i*w*x**2 - 3*w**3*x**2 + 2*w*x**2 wrt i.\nAnswer: -3*f*x - 512*w**3*x - w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(-3)*u*u*u))\/(u\/u**(7\/3)*u)*u\/u**19*u*u**(-9\/7) assuming u is positive.\nAnswer: u**(-398\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v. Let y be p(1). Suppose 2*a - y*a = -12. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393101 divided by 9?\nAnswer: -154789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 4565?\nAnswer: -455a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = 4*q, -q + 2*o + o + 18 = 0. Suppose -3*h + 5*m + 16 = -0*h, -2*m = q*h - 23. Calculate the remainder when 34 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.018 times -1.1\nAnswer: -1.1198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3 - 872*o**2 - 42864*o + 519840 = 0.\nAnswer: -114, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46401707*b**6 + 4743719*b**2 - 8 wrt b?\nAnswer: 5568204840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14161 + 14278. Let y = 191 + 121. What is the greatest common divisor of b and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -26, -65, -112, -161, -206?\n\"Answer: h**3 - 13*h**2 + 7*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Suppose 21 = 3*n - 3*c, 5*n + m*c - 3*c - 25 = 0. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 416646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j + 8. Let v(s) = -33*s - 5. Let f(u) = 22*u + 4. Let k(n) = 8*f(n) + 5*v(n). Let r(g) = -5*c(g) + 6*k(g). What is r(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 49964840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 13 = -m, 6 = -m - 2*p - 2. Let u be m\/4 + (-1)\/4. Let g = 349\/18 - 115\/6. Which is the closest to g? (a) 1 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 74?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*q + 152*q - 112 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvvn when four letters picked without replacement from ncnsbsnsnnvvnbbcbbbc?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 9. Let m(s) = -9*s + 19. Let c(y) = -3*m(y) - 7*r(y). Let g be c(0). Suppose x - g = -x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*q + 596*q = -576*q + 1078 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090 (base 16) in base 6?\nAnswer: -31344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 6*a = -32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**7\/210 - c**5\/20 - c**2\/2 - 1. Let f(h) be the second derivative of a(h). What is the third derivative of f(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpjpjojocffcop. What is prob of picking 1 p, 1 f, and 2 o?\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.6. Let y = 0.053 + -3.253. Let d = x - y. Put -5, 1\/2, d in ascending order.\nAnswer: -5, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 16. Solve 0*p = -u*p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 14*x + 10. Let f be t(9). Suppose -2*v + 10*v - f = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a + 43*a + 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/p**(-1\/6))\/p))\/p)**(-37)\/(p**0*p)**(6\/25) assuming p is positive.\nAnswer: p**(889\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1104 - 7405?\nAnswer: -8510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2*(-82)\/(-738).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/30 - 69*x**3\/5 + 418*x**2\/5 + 9*x - 44. Factor s(k).\nAnswer: -2*(k - 2)*(k + 209)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {v: 4, k: 1, i: 12, x: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 1. Suppose -3*v - 9 = 0, -4*d + 2*v - 3*v = -45. Let o = -13 + d. Calculate r(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58554780 a multiple of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(75)*1 - ((1 + sqrt(75))*-1)**2.\nAnswer: -76 - 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3 + 3 + 4*y. Let w(p) = -6*p + 4*p + 4*p. Determine w(c(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 698 + -391. Suppose -837 = 4*i + q. Sort 2, 1, i.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204941 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6e664 (base 15) to base 3\nAnswer: -122220110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030024707713 to 7 dps.\nAnswer: -0.0030025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 3)\/((-2)\/(-4)). Suppose -3*j = 2*i - 14, -i + 17 = 3*j + j. Put -5, w, j in decreasing order.\nAnswer: j, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107 times -28375\nAnswer: -3036125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 233567618 rounded to the nearest ten thousand?\nAnswer: 233570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, 2, 2455, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9947.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/64 + 93\/2240. Let l = 589 + -589.1. Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4130*t - 697. What is the tens digit of z(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 + -4232?\nAnswer: -4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:20 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q - 2*x, 4*q - 5*x - 5 = 2*q. Suppose q = -0*f - 2*f. Is f < 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -12a?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18386 (base 9) to base 14.\nAnswer: -48c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41171138.\nAnswer: 2, 19, 1083451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29971923 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3\/3 + 3*y**2\/2 + 5*y - 7. Let v be a(-2). What are the prime factors of (531\/(-3))\/(v*(-2)\/4)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 3*a**4\/2 + a. Let w(c) = c**2. Give g(w(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/4, 2, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -b + 147, b + 2*p = 144. Let q be (4\/b)\/((-24)\/(-108)). Is 1 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23935 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -bc?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 490 - 112. Calculate the remainder when (b\/(-14))\/((-1)\/6) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2326218 divided by 20586.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (sqrt(204) + -2*sqrt(204) + sqrt(204))*-6)\/sqrt(12).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(50\/156 - (15 - (-1691)\/(-114))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.08. Let u = -15.3 - -16. Let i = -0.8 + u. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*v + 52 = 0, -2*v = 5*n - 5*v + 65. Let q = n + 18. Let h(j) = j**3 + 8*j**2 + 3*j - 8. Let s be h(-7). Solve -t = -q*t - s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**3 - 188980*j**2 - 1067571292*j - 1612744586796 = 0.\nAnswer: -40971, -3137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 1. Let l be s(-6). Suppose 3*v - 5*v = g + 7, -l*v - g - 25 = 0. Suppose 0 = -4*b - b - 5. Is b greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.038 and 4.8?\nAnswer: -4.9824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 378491119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256416171 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**3 - 42*y**4 - 5*y - 3*y**2 - y**2 + 41*y**4 + 2*y**2 to the form a + g*y**2 + b*y**3 + i*y + f*y**4 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + 3*n**5 + 3*n**5 + (3 - 3 + 1)*(2*n**4 - 2*n**4 + n**5) + n**2 - n**2 + n**5 - 75 + 11*n**5 + 75.\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/(-8) + (9\/12)\/((-90)\/30).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3623880.\nAnswer: 2, 3, 5, 13, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13654536 - 13654536 + 16377*f**2 + 5700*f**2.\nAnswer: 22077*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 11) in base 8?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**3 + 1968*d**2 + 221184*d - 5242880 = 0.\nAnswer: -256, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100 + -110?\nAnswer: 10010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 67. Let u = 44 + h. Calculate the lowest common multiple of 18 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25079160, 50158317, 75237474, 100316631?\nAnswer: 125395788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(4*(sqrt(128) + -3 + (sqrt(128) + -1 - sqrt(128)) + -1 - (sqrt(128)*2 + 2)*-3))**2*5.\nAnswer: -6022080 - 107520*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a millennium in decades?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 86. Let c = j + -48. What is the nearest to -2 in -3, c, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38395662 divided by 2?\nAnswer: 19197831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50290 or 553182\/11?\nAnswer: 50290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 44*k**2 + 2009*k - 2009*k + 2*k**2 + 1 - 1 + (k - 3 + 3)*(-13*k + 9*k + 14*k).\nAnswer: 56*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b217a (base 16) in base 5?\nAnswer: 141320331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036632?\nAnswer: 2, 3, 47, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/((-357)\/(-14))*42153\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 1, j: 1, z: 2, m: 1, o: 2}. Give prob of picking 1 j, 1 z, and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4 + 6*a**3 + 107*a**2\/2 + 62. What is the second derivative of i(t) wrt t?\nAnswer: 24*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-162) - 34\/(-18). Let m(w) be the second derivative of 1\/6*w**3 + 3*w - 1\/2*w**a + 0. Differentiate m(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let o(l) = 6*l - 7. What is -28*d(g) + 4*o(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1708216*n. Let t(r) = -2*r. Determine w(t(a)).\nAnswer: 3416432*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*h + 40*h - 60. Suppose -3*d = 4*m + m, h*d = 5*m. Solve 5*g + 2*y + 18 = m, -4*y - 18 = 5*g - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/25 - 878*p\/25 + 1068\/5.\nAnswer: -2*(p - 6)*(p + 445)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0.065456?\nAnswer: -0.065456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 18*m + 10*m as d + c*m and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) - 21\/15. Let v be 6*(k\/2)\/(-1). Let q(u) = -1557*u + 35808. Let c be q(23). Put c, 18, v in increasing order.\nAnswer: c, v, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 30. Let d(o) = -o**2 - 15*o - 15. What is the remainder when d(-13) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 39*t**2 - 3*t. Let u(y) = -y**2 + y. Let w(m) = -15*u(m) - x(m). Find the second derivative of w(z) wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7808162 is divided by 494?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52833\/2 + 26418. Is s > 4.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1705 + -48.3371. Let p = 0.2224 - k. Round p to the nearest integer.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 76583 - 2500 = 0. List the prime factors of w.\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 38\/1 + 3. Suppose -4*s - 152 = d - 5*d, 3*s - f = -d. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**3 + 8*a**2 - 32*a - 21. What is c(-6)?\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4612 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112875093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + (59 - (-83 - 0))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(105)*-2 + sqrt(105))\/sqrt(7))\/(sqrt(720)*1) + -3)**2.\nAnswer: sqrt(3) + 1729\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(75) + -2 + sqrt(75))*-2 + -1)**2.\nAnswer: -200*sqrt(3) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2854599698 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*b + 48, 5*w - 2*w + 3*b = -18. Which is greater: w or -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 71 = -39 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + r**2 + 2 + r + r**2 - r + (2*r + 2*r - 2*r)*(-r + r + 2*r) + r**2 - 1 + 1.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z. Let x(p) = 3*p. Let q = 461 - 465. Let j(i) = i**2 - 2*i - 3. Let w be j(4). Give q*m(t) + w*x(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 407 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-16983)\/(-222) - 85)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 3. Let c(d) = -d**3 + 13*d - 10. Determine 2*c(z) + 7*m(z).\nAnswer: -2*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6251785750 less than -0.5?\nAnswer: 6251785749.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -84, -4 in increasing order.\nAnswer: -84, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 172952551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/(-595))\/((160\/(-21))\/(-4)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-m**3 + 2*m**3 - 3*m**3) - 2*m**3 + 4*m**3 + 0*m**3 + 12*m**3 + 1787*m - 808 - 9*m**3 - 900*m - 885*m.\nAnswer: 7*m**3 + 2*m - 808","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 2*p**2 + 56948 - 56957 + 10*p**2 in the form q + w*p**2 + z*p and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156\/415 + 2\/83. Let j = -13\/20 + x. Which is the nearest to 1? (a) j (b) -2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.288753 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 23*j = 20*j - 159. Solve -6*r = 27 - j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.50452 minutes in nanoseconds?\nAnswer: 330271200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l = 5*z + 113, 0 = 4*z + l + 91. Let j = 12 + z. Is j bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 0*j + 1 - 1\/2*j**3 - 3\/8*j**4 - 1\/10*j**5 - 1\/4*j**2. Suppose w(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g + 20. Let y(r) = r + 4. Let q(w) = -2*c(w) + 11*y(w). Let n = 13900 + -13894. Determine q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -659*j - 2689 + 2689 to d + c*j and give c.\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425549914950 plus -3.4?\nAnswer: -1425549914953.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 25*r**2 + 42*r - 99. Determine m(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37087812 divided by -4?\nAnswer: -9271953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 201. Calculate the greatest common factor of 117 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021942329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -5.2. Let u = -8 + n. Let o = 226\/531 + -12\/59. Put 5, u, o in increasing order.\nAnswer: u, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 108 + a?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Let g(c) = -5*c + c + v*c. Let p(h) be the second derivative of h**4\/6 - 5*h. Calculate g(p(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -3 - -5) + 24. Let c be -2 + 1 + a\/30. Sort -1\/6, c, -1 in descending order.\nAnswer: c, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -999 + 1063. Which is smaller: k or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18812*f*u**2 + 4*f*u + 437871*f + 3*u**5 wrt u?\nAnswer: -37624*f + 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v**3 - 6*v**2 - 11*v. Suppose -10*c = 931 - 951. Let i(b) = 4*b**3 - b**2 - 2*b. Give c*g(q) - 11*i(q).\nAnswer: -6*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 2 in descending order.\nAnswer: 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3976730, 3976676, 3976636, 3976616, 3976622, 3976660, 3976736?\nAnswer: 3976856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -25*a + 6 + 9*a + 3. Let n be b(-5). What is the common denominator of -5\/2 and 6 + n\/2 - 0\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20956, 41922, 62898, 83890, 104904?\n\"Answer: j**3 - j**2 + 20962*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14\/(-18))\/(8\/132) and 29\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3877111, 7754223, 11631335, 15508447, 19385559?\nAnswer: 23262671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0026 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11480 + 11490. Solve -3*s - 22 = 4*q, 5*q + 0*s = 5*s - b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29504259 to the nearest integer?\nAnswer: 5432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 148, 146, 142, 136, 128, 118?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -2*q + 27500, 5*q + 9170 = 2*i + 4*q. List the prime factors of i.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -208857.7 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -580 + 844. Suppose 4*c - 990 = -2*c. Suppose -5*i = -c - 0. What is the highest common factor of k and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*a**6 - 4*a**6 - 8*a**2 - 11*a**6 wrt a.\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20082285 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 3*p**4\/4 + 7*p**2\/2 + 8*p. Differentiate h(b) wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 5*u - 2*u + (0*u - 2*u + 4*u)*(0 + 16 - 5).\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zflz when four letters picked without replacement from {l: 1, f: 2, z: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 34 - 9*p - 10*p - 101 as m*p + d and give d.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.84 and -0.156.\nAnswer: -0.13104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(144)\/sqrt(3)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 941349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 884*r - 1345. What are the prime factors of a(9)?\nAnswer: 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-6))\/((-335)\/1005).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sksk when four letters picked without replacement from ssksskskkkssssss?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 10*z - 38. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 29*u**3 - 6*u**2 - 6*u + 44. What are the prime factors of j(4)?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1507*q - 1504*q - 1382 = 0, 0 = 5*q + 30. What is the least common multiple of 3416 and h?\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 2) to base 5\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/56)\/(1\/772) - (-3)\/7. Put -0.1, 0.5, -4, 3\/5, d in ascending order.\nAnswer: -4, -0.1, 0.5, 3\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508376 and 9592?\nAnswer: 508376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzv when three letters picked without replacement from zzv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 6*l - 2. Let n be h(4). Let x be (-8)\/n*2\/8. Let w = -3.181 + 0.181. Which is the smallest value? (a) 0.06 (b) x (c) 1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -579 rounded to the nearest 10?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -295?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1009237, -1008815, -1008393, -1007971, -1007549, -1007127?\n\"Answer: 422*b - 1009659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)*y**(-5)*y*y**(-6)\/y*y\/(y*y*y*y**2))**1 assuming y is positive.\nAnswer: y**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 566?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1109*l**6\/60 - 3049*l**5\/60 + 4838*l**2. Find the third derivative of s(m) wrt m.\nAnswer: 13308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (11 - -1) + -183 + 190 + 12 + 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 371569349 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3 + 3 + 2*z**2. Let t(k) be the first derivative of k**3\/3 - 136. What is o(t(c))?\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -427635?\nAnswer: -427636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 + -154. What is c rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x + 20. Suppose -x*f + 12 + 6 = 0. Differentiate -1 + 0 + f*r**3 - 2*r**3 with respect to r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 - 24 = -3*l, -4*y = 2*l - 12. Suppose l*a - 80 = 3*a. Suppose -3 = -s + a. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 26*a - 920. Let g(i) = -45*i + 1836. Determine -4*g(z) - 7*s(z).\nAnswer: -2*z - 904","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7 = -5*z, -5*w + 18 = -2*z + 4*z. Let l = 6538 + -6536. Suppose n - 340 = -2*o, -l*n = 3*n + w*o - 1688. Is 56 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1575*f**2 + 10. Let q(g) = -392171*g**2 - 2488. What is 5*q(o) + 1244*x(o)?\nAnswer: -1555*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3323687 (base 9) in base 11?\nAnswer: -1010949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 464327251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/11)\/(g**(5\/3)*g)*g**(1\/2)\/(g*g*g**(-5)*g) assuming g is positive.\nAnswer: g**(-47\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 119070352 to the power of 1\/3, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/10)\/q**(1\/4))\/((q\/(q**(-1\/2)\/q*q))\/(q*q\/(q*q*q\/q**(-1)))))**(2\/37) assuming q is positive.\nAnswer: q**(-77\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 91312\/176 - 14\/(-77). Solve -7 = -s*g + 512*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9574665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 146*v\/3 + 148\/3.\nAnswer: -2*(v - 74)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -457629, -0.3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18639392 to the nearest 1000.\nAnswer: -18639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 3*i, 7*h - 4*i = 12*h + 35 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35186, 35190, 35194, 35198, 35202?\nAnswer: 35206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 68. Let v be ((-17)\/5 - -2)\/((-5)\/s). Suppose -v*j + 14 = -0. Solve -2*k + 0 = j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1499, 2997, 4493, 5987, 7479?\n\"Answer: -q**2 + 1501*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2 - 22899682*f + 183197392 = 0?\nAnswer: 8, 22899674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24436 (base 13) to base 6\nAnswer: -1232251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*(-440)\/44088?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5 - 2418*g**4 + 31772*g**3.\nAnswer: -2*g**3*(g - 13)*(g + 1222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Let t be (1\/(v\/39))\/1. Suppose t = -5*p + 108. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2783341*d*x - 51*x - 5129 with respect to d.\nAnswer: -2783341*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199 - 162. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + (-7 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 2.1 (c) -3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 - 482*a**2 + 169*a + 1342. What is v(-161)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 79, 119, 159, 199, 239?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170502 is divided by 265.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, 35, -3\/4, 37\/201?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrr when three letters picked without replacement from rwwnrwnnnnw?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115955 and 420.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480.564 years to months.\nAnswer: 5766.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 + 4 = 0. Let g = 2.873 + 0.127. Sort 5, g, j in decreasing order.\nAnswer: j, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110.978 + 0.022. Let o = f + -188. Let k = 78.55 + o. Round k to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2)*40\/8. Suppose 3*l = -4*o + l + 4, i*l - 4 = -4*o. Calculate the lowest common multiple of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 6:30 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 + 3*x - 2. Let l be z(-3). Let v be (-3)\/2*16\/12. Let f = l - v. Solve 3*h + 3 = 4*s - f*h, 2*s + 6 = 4*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 17*m - 19*m + 7*m - 189*m - 203*m to the form l*m + u and give l.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2)*1\/2*(-9)\/(-63)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 275*q**4 - 20097*q**3 - 480929*q**2 - 1831402*q + 2332704 = 0. Calculate q.\nAnswer: -176, -47, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2476*y - 13382 = -257*y - 5780 + 36778 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(243) + 2*sqrt(243)).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/6612368 and 74\/1505?\nAnswer: 33061840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 11*h + 5. What is l(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/156 and 95\/72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-6)*14\/3. Let b = 2 + l. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 1)\/(9 - 8). Suppose -95 + 1043 = 4*g - 2*t, -5*g + 3*t + 1187 = r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/109 (b) 5 (c) 4485\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -4 (c) -3 (d) -1 (e) -59 (f) -18 (g) 63\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25\/(0 + 5) + 489.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -4. Let a(c) = -19*c + 4. Suppose d + 8 = -l, 5*d - d - 2*l = -20. Let t(k) = -9*k + 2. Let n(o) = d*a(o) + 13*t(o). Calculate n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 22*n**2 - 59*n - 57. Let v be o(-19). Sort v, -2, 5.\nAnswer: v, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 45 - 72)*(2*u**2 - 3*u**2 + 0*u**2)*(-9*u - 3*u + 6*u)*(-2 - u + 2 + (-3 - 4 + 5)*(3*u + 2*u - 4*u)).\nAnswer: 1602*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/8 - 3*o**2\/2 - 1. Let y(l) be the second derivative of z(l). Let s be y(1). Solve 6 = s*j - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 731 - 731. Let d(s) = 17*s + l - s**2 + 1 + 12 - 22. Determine d(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 3, 2, -1 in descending order.\nAnswer: 163, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 0, 1\/5, -6\/65?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73, -140, -205, -268?\n\"Answer: g**2 - 70*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/18513 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6369*z = -7417*z - 39824 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/7 - 4\/14. List the prime factors of (-2)\/l - 268\/(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-29)*t)**18*(t**(-10))**1)**(-2\/31) assuming t is positive.\nAnswer: t**(1028\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + (-1 - -1) + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25930, 51877, 77834, 103807, 129802, 155825?\n\"Answer: o**3 - o**2 + 25943*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-70)\/(-3)*(-72)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 4*y + 4*y)*(-2*y + y + 4*y) + 2*y + 33 - 7*y**2 - 33 to the form b*y**2 + k*y + o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -71?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 2:51 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 854\/(-549)*(-12)\/490. What is the third smallest value in 3, -3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - j**2 + j + 9. Calculate l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + 1.6114. What is x rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4009165 is divided by 5639?\nAnswer: 5475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-7 - (16 + 7) - -12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 442136 and -0.2.\nAnswer: 442135.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Let p(t) = -52*t + 26. Let x(k) = 4*b(k) + p(k). What is the units digit of x(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/174*((-38)\/6 - (0 - -3)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175 - -179. Suppose 5*j = -3*s + 3383, -8*s + d*j + 4564 = -4*s. Calculate the highest common divisor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 109?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 9) in base 10?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269440 is divided by 4349.\nAnswer: 4151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/133693 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.31 (b) -0.3 (c) -0.2 (d) -9 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.55 + 5.9. Let b = -1.5061 - -0.2191. Let g = r + b. What is g rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**19)\/k)\/(((k**(-2\/49)*k)\/k)\/k))\/((k\/(k*k\/(k**(-18)\/k*k*k)))\/((k\/(k\/k**(-2\/57)))\/k)) assuming k is positive.\nAnswer: k**(103357\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8434175\/78 + -108138. Let y = j + 2\/39. Let h = -1139\/5 - -231. Calculate the common denominator of h and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/96042 and 5\/319803853.\nAnswer: 1918823118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 1384624 - 1384624.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*l - 4*l = -4858, -2*l = 3*h - 14524. Is h a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (-1 - -8) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -4 (c) 0 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 38619450?\nAnswer: 38619450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-9) - 1) + 61\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1806)\/(-387))\/(((-5)\/3)\/5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = n - 172, 298*w = -3*n + 299*w + 504. Calculate the remainder when 809 is divided by n.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3. Let i(c) = 24*c. Determine k(i(u)).\nAnswer: 576*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 100*m\/7 + 1088\/7.\nAnswer: 2*(m - 34)*(m - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-3)\/36) + 2. Suppose t + 2*g + 72 = -89, 5*t - g = -783. Let o = t - -199. Calculate the highest common factor of a and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1448500627 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 3*o)*(18754 - 18754 - 276*o**3).\nAnswer: -552*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7259032?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 236 + 18*b + 33 + 68 + 0*b + 70.\nAnswer: 18*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x + 12. Suppose -b + 6*b + 5 = -x*z, -2*z - 6 = 2*b. Let y = z + 12. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -58*b**2. Let y(d) = -5*d + 7. Let g(n) = n - 2. Let w(t) = 7*g(t) + 2*y(t). Give o(w(x)).\nAnswer: -522*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/36 and ((-144)\/(-480))\/((-868)\/425 + 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1172, -5, 2 in decreasing order.\nAnswer: 1172, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16980 - 16980 = 12*v. Solve -3*w + v*w = f - 12, 0 = -4*w + 2*f + 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567\/(-7695)*(-26)\/273*1?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -41*f + 17. Let m(x) = 23*x - 8. Determine -5*m(y) - 2*z(y).\nAnswer: -33*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -18*w + 0 - 4\/5*w**5 + 8\/3*w**7 + 0*w**3 - 22\/3*w**6 + 0*w**2 + 4\/3*w**4. Suppose d(p) = 0. What is p?\nAnswer: -2\/7, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f**2 - 3*f**2 + 9*f**2)*(f - 2*f + 3*f) - 2*f**3 + 0 + 0 + (5*f**2 + f**2 - 5*f**2)*(1 + 2*f - 1) + f**3 + 3*f**3 - 3*f**3.\nAnswer: 39*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8113432 and 9\/1332056.\nAnswer: 89247752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 26. Let l(z) = 3*z**3 + 114*z**2 + 3*z + 91. Let a be l(-38). Is h at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18\/13 - -77\/65. Let i(v) = -v**2 + 6*v - 3. Let w be i(3). Suppose x - w*x = 20, -2*p + 10 = -x. Sort k, 0.5, p in ascending order.\nAnswer: k, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.022 + 2.978. Which is the closest to 1? (a) -3 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -20. Suppose 0 = 3*p + 2*p - 5*v + d, 2 = -4*p - 5*v. What is the units digit of 1\/p + 57\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:59 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5\/2, -1, -0.08 in decreasing order.\nAnswer: -0.08, -1, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -92 (b) 6 (c) 0 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8 and -55\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 5425912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**2*v)\/((v**16\/v)\/v) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = -0*r. Suppose 3*v + z = -3, -3*v = 3*z - 1 + 4. Let f = -7682\/17 + 452. Which is the closest to v? (a) -0.2 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.45827458 rounded to 2 decimal places?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 332603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -26 + -13 + 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1000196.1 seconds?\nAnswer: 16669.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-10))\/((2352\/(-560))\/((-8)\/(-10))).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 25, 2, -5.4 in decreasing order.\nAnswer: 25, 2, -0.11, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.283 and -298373.\nAnswer: -298388.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 5*r - 12. Suppose 13 = -5*d + 4*p, 2*d = d - 3*p - 14. List the prime factors of i(d).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -9341\nAnswer: 2\/9341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5056591170 to the nearest integer?\nAnswer: 71110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 3:42 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus -64864380635?\nAnswer: -64864380655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020608009569 to six dps.\nAnswer: -0.020608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004518 to six dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = -20. Suppose -62 - 18 = -l*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*f - 123*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67042, -67036, -67048, -67078?\n\"Answer: -9*n**2 + 33*n - 67066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -23. Let t = z + 1. Put t, 6, -1 in increasing order.\nAnswer: -1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 34*i**2 + 1. Let x(h) = -h**3 + h**2 - 2*h - 1. Let d be x(0). What is the tens digit of q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -394a + -596?\nAnswer: -4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -140*s**3 + 9*s**2 - 187*s - 389. Calculate d(-2).\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 6*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 6615, -2\/53 in decreasing order.\nAnswer: 6615, 0.11, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.91 take away 53383427?\nAnswer: -53383431.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*g**2 - 260*g**2 + 3*g - 3*g.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:13 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i + 57 = 0. Which is smaller: -20 or i?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 145\/3 (b) -1059 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-78))\/((-2)\/(8\/6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18095\/26 + 31\/806 is divided by 176?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(10\/3)*780\/351.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 5*c)*(-c - c + c) + 45*c - 102*c - 5*c**2 + 52*c + (2*c - 2*c + c)*(-c + 0*c + 0*c).\nAnswer: -5*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -239, -338, -435, -530, -623, -714?\n\"Answer: h**2 - 102*h - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 279 + -274 + (0 - 15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/215 and 32\/301.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-40))\/(96\/240).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/9 - 97*i**2\/9 - 1322*i\/9 + 3040\/9 = 0.\nAnswer: -80, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.2025036 times 3\nAnswer: 9.6075108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Suppose -2*k + n*k = 0. Solve -i - 1 = -k*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(f - 1 + 0*f - 3*f) - 431*f - 418*f - 476*f.\nAnswer: -1327*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22185768 divided by 17692?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2403*x + 1357*x + 650673 = -4036*x + 317*x for x.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6390 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3.9. Let w = 2.5 - x. Which is the nearest to -2? (a) -0.5 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 16735216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -135, -91, -15, 93, 233, 405, 609?\n\"Answer: 16*a**2 - 4*a - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.55005ml in litres?\nAnswer: 0.09155005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -16*n**5 - 28*n**4 + 10*n**3 + 4*n**2 = 0.\nAnswer: -2, -1\/4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.754773 hours to nanoseconds.\nAnswer: 2717182800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466503121.\nAnswer: 7, 66643303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1157409 + 1134260957\/980. What is the common denominator of o and -93\/40?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Suppose -t + 23 = -4*t + 4*v, 4*t = d*v - 24. What is the closest to t in 0.3, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 34*k + 191. What is z(40)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334077413 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + k - 25 = 0, z = 4*k - k + 23. Find the second derivative of z - 23 + 4*v + 3*v**4 + 9 wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 2 = y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20080 + 20017. Put o, -11, 5 in decreasing order.\nAnswer: 5, -11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 20. Let m be x(12). Let h = -1.14 + 0.14. Sort 0, h, m in descending order.\nAnswer: m, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -47*t**2 + 157*t - 50. What is c(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/(-39)*42\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2240? (a) -5 (b) 3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492 and 808479?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15789.68 minutes?\nAnswer: 947380.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-25)\/(-5)) + 8. Suppose 3*r = -w*r - 186. Is -31 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -6, -10\/7, 2\/5 in decreasing order.\nAnswer: 57, 2\/5, -10\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -83092*v + 2. Let b be r(-2). Let o = 497579 - b. Suppose -3*p - 479995 = -w, 4*p + w = -971398 + o. What is p rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004451 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -411, -911, -1601, -2475, -3527?\nAnswer: -4751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from yzjzyzzyzjsyssyszy.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -52. Suppose p*a + g = 3*g + 1298, -g + 320 = a. Suppose 3*j - a = r + r, 0 = 3*j - r - 319. What are the prime factors of j?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 417 and 1623242?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 + 2.84. Let k = 5.64 - l. Let z = -4.7 + k. Sort -4, z, -1\/5 in ascending order.\nAnswer: -4, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 580716914277 - -1573.\nAnswer: 580716915850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, 150, 216, 278?\n\"Answer: -2*p**2 + 76*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 53 + -15 - 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/9 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3 - u**2. Let k be v(-1). Is (k\/(-4))\/((-6)\/(-252)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*n - n. Suppose 0 = 3*r + 2*w + 9, n*r - 2*w + 16 - 4 = 0. Let l = -10 - -10.2. Which is the third smallest value? (a) -4 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 647942.308 * 5.\nAnswer: 3239711.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b - 7*b**3 - 18*b - 16*b**3.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 3\/19 (c) 2\/11 (d) -2 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 + 16*j - 3 as q + m*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 276 = -5*u + 271, -u = 5*b - 2615. Let f = b + -339. List the prime factors of f.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44706 less than or equal to -44705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-586)\/(-45) - (5006 - 4993)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 9*b**2 - b - 15. Let d be l(5). Solve 3*n + d = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2546 + 958 = 180*k - 1176 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 1\/3, 1\/6, -9.69?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*9\/(-54))\/((-4)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*-15*-12*16\/2280.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(-3\/4)\/(d**(-1\/8)\/(d*d**(-1\/6)))*((d\/(d**(-3\/2)\/d))\/(d**2\/d*d))**(3\/19) assuming d is positive.\nAnswer: d**(1261\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m + 6 = 0. Let g = 0.2 + -0.5. Let t = 2.03 + -0.03. Which is the smallest value? (a) g (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 10) to base 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from {m: 5, k: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3 - 41*k**2 - 225*k wrt k.\nAnswer: 12*k - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27697861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3506866.\nAnswer: 2, 11, 159403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10670\/(-3201))\/((-100)\/(-252))?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6\/11, -3\/8, -8, 2\/13?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 343.754mg in nanograms?\nAnswer: 343754000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 8 = 4*n, 0 = 41*s - 38*s + 12. Put 7, 3, n in decreasing order.\nAnswer: 7, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -700 + 718. Let q(x) = c*x + 25*x - 78*x + 20*x. Let l(t) = 2*t. Calculate q(l(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1654 - 7870 = -4*h. Let g = -1596 + h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 406317.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.047202 and -17067?\nAnswer: -805.596534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 11 - 1 + 8 - 42*g + 176*g to the form v + i*g and give i.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145935 - 145934.999892061. Round w to six dps.\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 22*k. Suppose -6*l + 18 = -7*l. Let x(i) = -3*i - 45. Let u be x(l). Let p(d) = -16*d**2 + 5*d**2 + u*d**2 + 4*d**2. Calculate p(b(n)).\nAnswer: 968*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1596.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4 - 4)*(167*l + 477*l + 96*l)*(-3 + 3 + 1)*(-1 - 4 + 2).\nAnswer: 2220*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 - 4*a\/11.\nAnswer: -2*a*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4996577 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -744 and -761 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19578*p**3 + 2*p**2 + p + 4322 wrt p?\nAnswer: 117468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 6 + -7 + 3. Suppose 0 = -t*d - 10 + 35. Solve d*s = -5*p, -5*s + 3*p = -s - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 9. Let p(u) be the first derivative of -25*u**2\/2 - 943. Determine y(p(a)).\nAnswer: -50*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63352929 to the power of 1\/2, to the nearest integer?\nAnswer: 7959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -985 + 1005.95. What is h rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q. Suppose 3*u + 4*o - 59 - 33 = q, -3*u = -3*o - 99. Suppose 2*d = 72 + u. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 34*x - 104. Calculate h(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -114*h + 161*h - 36 - 28 + 1, 4*h + 0 - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 774?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176507 is divided by 168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 8:25 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeemmjjmjxxmeaajemmm. What is prob of picking 1 x, 1 m, and 1 j?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (111\/(-756))\/(198\/44) and 25\/126.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 + 10*p - 2. Let j = -11 - -8. Let n(h) = 2*h**2 + 9*h - 1. Let k(z) = j*i(z) + 4*n(z). Calculate k(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*8.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 62*o**3\/3 - 51. Let k(x) = -x. Calculate k(i(h)).\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*-1*sqrt(84) + sqrt(84))*-4)\/(sqrt(972) + (sqrt(972) - (sqrt(972) + (sqrt(972) + (sqrt(972) - sqrt(972)*-2))*-2 - sqrt(972))) + 6*sqrt(972)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 416 and 0.039.\nAnswer: 16.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 4466?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/8 - 417*w**2\/8 + 1731*w\/8 + 2145\/8.\nAnswer: -3*(w - 5)*(w + 1)*(w + 143)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z - 4*v - 39, 4*v = -z + 7. Calculate the remainder when 54 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/49 - ((-64)\/(-192) - (0 + 2\/42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 74, 80, 88, 98, 110, 124?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 39*w = 43 - 283 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7585110, -30340421, -68265940, -121361667, -189627602, -273063745, -371670096?\nAnswer: -485446655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 11.03. Let t = 0.1149 - 9.7349. Let s = o - t. Round s to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1710, 2770, 3838, 4914, 5998, 7090?\nAnswer: 8190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.8 - -7.2. Let g = -56 + u. Let j = 10 - 41\/4. Which is the third smallest value? (a) j (b) g (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29215 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: Which is the nearest to 4? (a) -3 (b) 1\/95 (c) -0.4 (d) -0.08 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28.79*-6.8\nAnswer: 195.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i + 36. Let k(l) = -12*l - 489. Let w be k(-40). Is w less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4, 0 = 4*l + 3*f + 4 - 28. Solve -6 = -l*t, b = -0*b + 4*t - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*r + 4 + (r + 0*r - 2*r)*(-1 + 1 + 1) + 90*r + 5766 - 5766.\nAnswer: 87*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152246731 equal to 152246730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 10*o + 205. Let d be b(-20). Suppose 7*q - d*j - 2465 = 2*q, -j = 2. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 = 2*n + 17, n - 3*f = 21. Let i(z) = -9*z. Let u(a) = -8*a. Determine n*i(q) - 7*u(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5175006 by 8.\nAnswer: 2587503\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 30. Let b be a(-6). Suppose 0 = -q - i + 80, -4*i - 247 = -3*q - b*i. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*h - 81*a - 224 = -83*a - 1168, -5*a = -h - 3*a + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 16*q**2 - 13*q - 28. Let t be 2\/6 + 484\/33. Let v be r(t). What is the derivative of -15*h**2 - 17 + 26*h**v - 28*h**2 wrt h?\nAnswer: -34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -16. Suppose -4*i = -0 - 28. Suppose 4*a = j + i. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Suppose u + 0 = -c. Let s = 20 - c. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)\/((r*r**(-25))\/r) assuming r is positive.\nAnswer: r**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/347? (a) -4 (b) -0.5 (c) -10\/21 (d) -1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954118 is divided by 119255.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-9 + 5 - (-14 - -8) - 21) - 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7477677 (base 9) in base 13?\nAnswer: -aa4328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1440 by -2.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 249 - 481 + 51*o**2 - 2*o**3 + 60*o + 14*o**3 + 244.\nAnswer: 3*(o + 2)**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/8953 and -34\/8953.\nAnswer: 8953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 3)*(-1 - 11*p + 1) - 3*p + 2*p - 2*p)*(-7*p - 9*p - 2*p) in the form w + q*p + l*p**2 and give l.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*u - 23*u = -5*f - 70, -2*f + 23 = 5*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 662*c + 669*c + 50 = 0, 4*o = c + 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121120133031200 - -1?\nAnswer: 121120133031201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71223615 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/22*40\/(-18). Let t = 15\/11 + s. Suppose t*p**3 + 4\/3*p - 25\/3*p**4 + 0 + 16\/3*p**2 = 0. Calculate p.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34 (b) -2 (c) -2\/15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 725 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31968 by -9.\nAnswer: -3552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1012785694 to the nearest integer?\nAnswer: 31824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/480 + m**4\/192 - m**3\/24 - 5*m**2. Factor r(c).\nAnswer: (c - 1)*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r - 4 = -u, 0 = 5*u - 3*r + 34. What is the units digit of (-18)\/u*(12 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 145 (b) -0.1 (c) 0.33 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffv when three letters picked without replacement from {v: 1, f: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6592895\/440 - (-6)\/16. Let i = z + -14989. Find the common denominator of 5\/74 and i.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.283 less than -22?\nAnswer: -19.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 1, s: 3, n: 3, a: 5}. What is prob of picking 1 d, 1 a, 1 s, and 1 n?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -6) + (12 - 46) + 10\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and 0.3.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i - 21. Suppose q - 22 = -4*h, 4*q = -2*h + 7*h - 17. Let u be k(h). Let g be -3 - 0*(-5 + u). What is the fourth biggest value in g, -4, 1, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from babbbbbbxbaaxbxbxaa?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by -2\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 7 = q + 7, q - 5*r + 24 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(288)*-2 + sqrt(288) + sqrt(288) + sqrt(288) + sqrt(288) + sqrt(288))\/(sqrt(1452)*-1))\/(-3*sqrt(648)*-4*-4).\nAnswer: sqrt(3)\/528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*z**2 + 31*z**2 + 6 - 72*z**2)*(5*z**3 - 3*z**3 - 3*z**3) - z**5 + 3*z**4 - 3*z**4.\nAnswer: 5*z**5 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/406 and ((-51)\/(-2))\/((-6 + 5)*21).\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 5:45 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvkmkmmkm. What is prob of sequence mk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 2*t + 24, 81214*d = 81216*d - 2*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 32 (b) 57 (c) 6 (d) -4\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/800 and -14\/5.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5746, 5738, 5726, 5710, 5690?\nAnswer: 5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(675)*-2 - sqrt(27))*-5 + (sqrt(216) - -2*sqrt(216)*-4)\/sqrt(8))**2.\nAnswer: 62205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + 3 - -2 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21514740.\nAnswer: 2, 3, 5, 13, 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4900 = -5*g + 2745. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6842647, 27370583, 61583809, 109482325?\n\"Answer: 6842645*q**2 + q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(425) + sqrt(425) + -4)**2 - sqrt(425)) + (2 + 2*sqrt(425))**2.\nAnswer: 75*sqrt(17) + 2145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -39 (b) 0.4 (c) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31309589 is divided by 238?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyoi when four letters picked without replacement from opiiyfp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21147 or -21143?\nAnswer: -21143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093036 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32598440 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16295, 32270, 48245, 64220, 80195?\n\"Answer: 15975*l + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -72*q - 42. What are the prime factors of c(-5)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9662951 is divided by 3220979.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 5. Let l be w(-2). Let d(s) = -3 + 8 - 5 - l*s - 2. Determine d(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 18. Let d be n(14). Solve 4*v - 14 = 5*c, 3*v - 7 = d*c + 4*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-6)*(-3)\/2. Let g = n + 0. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:13 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 71\/5 - (-5 - (-78)\/15). Suppose 0 = -4*t + 20, -2210 = 9*q - d*q + t. Is q a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 2*q**2 + 1. Let v(a) = 3 + 38256*a + 4*a**3 - 38256*a + 4*a**2. Determine 2*v(h) - 5*z(h).\nAnswer: -2*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463.\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3741895, -14967565, -33677015, -59870245, -93547255?\n\"Answer: -3741890*r**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 37. Let r be (-51)\/(((-27)\/(-2))\/s). Which is smaller: r or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:39 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0387 and -0.13?\nAnswer: -0.005031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 1101 = -401. What is the remainder when 149 is divided by r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2527468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*6\/(-16)*2 - -23 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -65. Suppose 2*x - q = -26, -5*q - t = -2*x + 4*x. Which is the third biggest value? (a) -3 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -13. Let g = q - -10. Suppose n = -3*h - 60003, 0*h - g*h - 60005 = n. Round n to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-655)\/(-31178)*(-140)\/10.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine thirds of a hour?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 123*z + 660. What is b(-11)?\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m = 54 + 42. Suppose m*s - 321 - 45 = j, 3*j = 5*s - 454. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01031257 to five dps.\nAnswer: -0.01031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {x: 4, g: 7, m: 2, e: 2, f: 3}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 561070*u**2 - 555745*u - 5325 = 0.\nAnswer: -1065\/112214, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2227 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 - 6. Give f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 15*u**2 + 24*u + 135. Let v be o(-16). Solve 0 = -3*t + 5*t - v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19641559?\nAnswer: 7, 229, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933.892 kilometers in millimeters?\nAnswer: 4933892000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 1. Let c be p(1). Let i be (-3 - -2)\/(1\/(-19)). Solve c = -5*l + h + 21, 5*l + 0*l = -h + i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 5. Suppose -6*c - 5*c = -2*c. What is g(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -28*y**2 - 2*y - 2. Let f(b) = 169*b**2 + 13*b + 13. Determine -13*c(r) - 2*f(r).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 1. Let g be a(1). Let k(m) = -16*m + 6*m + 7*m. What is the units digit of k(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.1. Let o = 370 + -2594\/7. What is the third biggest value in 0.1, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8847 or -716?\nAnswer: -716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7179166.8 milliseconds to hours.\nAnswer: 1.994213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760281779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 4, b: 1, q: 3, h: 4, g: 2}. Give prob of picking 1 d and 2 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z**2 + 9*z**2 + 6*z**2 - 16 in the form a + v*z + b*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1050\/(-175))\/(63\/(-6))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, 29, 76, 141, 224, 325?\n\"Answer: 9*h**2 + 2*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.1, 5, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 291931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/2110328 and -79\/22.\nAnswer: 2110328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:16 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*z - 2, 2*y + 3*z - 67 = 0. Solve -y = 49*i - 127 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3337 divided by 8\nAnswer: 3337\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47698885 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 3*o + 14. Let d be ((-45)\/27)\/(40\/24). Let i(g) = g - 1. What is d*b(j) + 3*i(j)?\nAnswer: -j**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-35465274.\nAnswer: -17732637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(-5*sqrt(16)\/sqrt(4)))\/(-5*sqrt(15)\/sqrt(3)*5).\nAnswer: sqrt(2)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 291\/109 (b) 3 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*h - 209, 5*o + 249 = 4*h - 0*o. What is the greatest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27144614 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66233*g - 66237*g + 10 = r, 40 = -3*g + 7*r + 125 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2455061 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 4 - (-8 + 10 - 12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -12, -7, -2, 3?\n\"Answer: 5*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Let h(x) = 83 + 10*x**2 - 83. What is q(h(c))?\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120690*l**2 + 3*l - 2*l + 407902*l**2 - l.\nAnswer: 287212*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 + 4)*(-1)\/2. Suppose -3 = -h*b + 3*b. Let m(o) = 6*o**2 + 2*o. Let n(l) = 11*l**2 + 4*l. Let z be (51\/(-9) - -4)*3. Give b*n(x) + z*m(x).\nAnswer: 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124523*w + 211343 wrt w.\nAnswer: -124523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.6 plus 10.91?\nAnswer: 244.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - 88. Let p = -103 - t. What is the second derivative of -27*x + 18*x**3 - 28*x**3 + p*x**3 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5*h - 9 = 0, -5*r + 3*h = -3*r + 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-25)*171*43\/(-3096).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 6.1?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/105)\/((-6)\/(-7)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1725 and 9?\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -209 - 4?\nAnswer: -20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -68 (b) -1\/351 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10336059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183911 divided by 611.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12*h + 17. Let a(z) = 3 + z - 2*z - z. Let t be 54 - (417\/(-10842) + 521\/26). What is t*a(w) - 6*l(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 5 (c) -0.5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2726609472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.469846 kilograms to milligrams.\nAnswer: 9469846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**4\/12 - 146*y**2. Let a(g) be the first derivative of 4*g**3\/3 - 1. Give f(a(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:08 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5945002, 11890003, 17835004?\nAnswer: 23780005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118255738*r**4 + 8*r**2 - 3023179*r?\nAnswer: 2838137712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*k + 17, 3*y - 2*k = k - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106197846.\nAnswer: 2, 3, 17699641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 22, 3, 36\/5, 674 in descending order.\nAnswer: 674, 22, 36\/5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c96 + 3?\nAnswer: 5c99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 371340?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 189152 divided by -32\nAnswer: -5911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (12 - -16) - -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 7*a + 4. Let j(w) = -5*w**3 + 16*w**2 + 25*w + 11. Let n(s) = s**3 - 4*s**2 - 6*s - 3. Let x(m) = a*j(m) + 9*n(m). Is x(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - g + 17 - 2, -3*g + 15 = -2*c. Put 9, c, -2 in increasing order.\nAnswer: c, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.9 times 77.01?\nAnswer: 1147.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 a factor of 178500977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/8 + 6679596\/672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*a + 1, 6*k - 5*a = 8*k - 3. Let p = 13 + -9. Suppose 0 = -x - 4*x + 3*z + 4, p*z = -x + 10. Solve -q + k = -x*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -31*z. Let c be y(-1). Suppose -4*m + 113 = -c. Let v be ((-54)\/5)\/((-1)\/5). What is the highest common factor of v and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118898 + -234403. Let l = 848186 + -344885. Let k = i + l. Round k to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 8*f. Solve -4*o + 0*o = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 2*y**2 - 2*y - 10. Let c(p) = p**2 - p - 1. What is 2*c(x) - d(x)?\nAnswer: x**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Let g = -1 - 2. What is the closest to 2 in 2, h, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/120 + p**5\/15 - p**4\/6 + p**3\/2 - 10*p**2. Determine g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = -5*d - 7*i, -d - 5*i - 8 = 0. Suppose d*g + 5*z + 0 = -9, 5 = -z. What is the units digit of g\/6*(2 + 55\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 = -3, 0 = 5*v + 3*y - 13. Suppose 0 = v*g - g - 4. Solve -3*b - 11 = g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/3 - 23*s**3\/3 + 3*s**2 + 1343*s\/3 - 1330\/3 = 0.\nAnswer: -7, 1, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/50)\/((-10)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18426614 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/3, -0.1, -0.3, 16 in increasing order.\nAnswer: -2\/3, -0.3, -0.2, -0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/186166176 and -5\/21.\nAnswer: 186166176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433189 is divided by 54104?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w + 8. Let r = 15 + -15. Suppose -2*i + l = -r*i - 7, 3*l = -3. Solve -4*f + a = i, 4*a + w = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 31*d**2 + 66*d + 52. Let b be m(-21). Suppose -2*q = -2*o - 3*q + 1536, -4*o - 4*q = -b. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 54 = 3*u - 13*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3939 - -3945.996. Let h = -4 - 3. Let w = h + z. Round w to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.65657 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31860 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 25, 4504, -1, 0.2, -0.1, -0.4, 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 16 = -2*v. Let x be v*(-1)\/1 + 1. Let n be (85\/(-3))\/5*x. Calculate the greatest common divisor of n and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -485 divided by -5.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 7) in base 15?\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 19681, -3\/4?\nAnswer: 19681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - -11. Suppose 0 = -4*p - b + 143, m + 26 = 4*p - 2*b. 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 the millions digit of 11262515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228034 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/4)\/(8\/48))\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/8 - 3*w**2. Let j(l) = l**2. Give c(j(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:16 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 p when four letters picked without replacement from opoppp.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c + 288. Determine p(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -79. Let c be 0*1\/r*-3. Is -2\/7 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/6 - 5*k**3\/3 + 5*k**2\/2 + 141*k. Determine f(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 25 - 14) + 8 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 68 + 536. Let w be 52 - (0 - (0 + 1)). Let g = h - w. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/364 and 2\/328289.\nAnswer: 9192092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*b - b - 0*b - 3, 5*b = -4*q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467829 - -9?\nAnswer: 467838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 32. Let g be j(0). Let d = -23 - g. What is the remainder when 26 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2458730 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 6*n + 1. Let u be w(-6). Let o be ((-516)\/(-54)*3)\/(-6) + 5. Is u != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3 - 18922*g**2 + 974*g + 2190 wrt g?\nAnswer: 18*g - 37844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*a - 12, -2*a + y + 2 = 3. Let x be 4\/(-2) - -5 - a*3. Solve -j = 1 - x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 16552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from iidddududi.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from nnecncmmhhmn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/((-350)\/15)*7. Suppose -v = 4*x - 191, -x - a*v = -23 - 11. Calculate the highest common factor of x and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s**3 + 52*s**2 + 19*s + 20. Let y(c) = -8*c**3 - 30*c**2 - 10*c - 10. Let b(v) = -3*h(v) - 5*y(v). Let o be (-87)\/(-12) - (-2)\/(-8). What is b(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 32 = u. Suppose -2*y + 1145 = 3*t - 4127, u*t - 7060 = 5*y. Round t to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*v - 2*r = 509*v - 58, -2*r - 20 = 2*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 2*p + 13. Calculate b(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*h**5 + 29*h**5 - 20541*h**4 + 20455*h**4 + 86*h**2 + 1849*h - 1848*h**3.\nAnswer: -h*(h - 1)*(h + 1)*(h + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:47 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 941870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 4, v: 3, u: 1}. Give prob of sequence uj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, e: 7}. Give prob of picking 1 g and 2 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 5 - 32 - 10*q to c*q + x and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 + -0.04. Let m(y) = y + 6. Let h be m(-7). Which is the nearest to h? (a) o (b) -1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i - 5*l = 5, 4*i - l - 10 = 0. Suppose 0 = -3*u - 0*u - i. Is (5 + 2\/u)*7 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 59*i - 8. What is x(-7)?\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5855910850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z**2 - 56*z**2 + 167*z**2 - 59*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 + 21*u - u**2.\nAnswer: -u**2 + 21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1517 - 0.7?\nAnswer: -0.8517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (35 - 15) + (-10 - 3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -517687\/24 + 21567. Let w = o + -5\/24. Is w not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1077 + 212*q**4 - 458*q**2 - 222*q**4 + 499*q**2 wrt q.\nAnswer: -40*q**3 + 82*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -15*d**3 - 281*d**2\/2 - 55*d + 3. What is the first derivative of p(u) wrt u?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2193*b - 2197*b - 2*s + 3622 = 0, -b + 922 = -5*s. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 + -1. Suppose -12 = 2*u - f - f, 2*u + 4*f = 0. Let y = u - -9. Which is the nearest to r? (a) -0.2 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 - 117. Solve s*w - 5*z - 4 = 3*w, 5*z = -3*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05397 * 4\nAnswer: 0.21588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-39)*(1804\/44)\/82.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d + 14600. Let j = 2 + 0. Let s be j\/7 + 4\/(-14). Let h be i(s). What is h rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 5, v: 6, d: 3, o: 2}. What is prob of sequence xo?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/5, -87, 34, 1\/4, 0.1 in descending order.\nAnswer: 34, 0.5, 1\/4, 0.1, -3\/5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 - 6733*u\/5 + 6732\/5.\nAnswer: (u - 6732)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 379531 + -200022. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 14*c - 65. Determine i(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-1)\/9*(-6 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9019 - 29467 - 19807 + 2*q**2.\nAnswer: 2*q**2 - 40255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73230 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7823548 is divided by 43464.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:55 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*k - 20, 3*k + q = 8*k + 37. Let o(c) = -2*c**3 - 4*c**2 - c + 2. Let t be o(-2). Let f(b) = -t*b**2 - 8*b + 3*b**2 + 0*b**2 - 1. Give f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170a (base 13) in base 3?\nAnswer: -11122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.84 + 14490902978.\nAnswer: 14490902979.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/10*(-15 + (-33847)\/(-2261)). Factor -w*i**3 + 4\/19*i**2 - 16\/19 + 8\/19*i.\nAnswer: -2*(i - 2)**2*(i + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 12. Let s be (-2 - 0)*1 - 0. Let g be 4*s - (1 + -2). Let r(m) = -m**2 - 5*m + 9. Let p be r(g). Give f(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237 * -0.3\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0*6\/9*9\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 1. Let i(h) = -182*h + 26. What is i(s) - 26*l(s)?\nAnswer: -130*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 857*q*v**3*x + 2*q*v**2*x - 112*q*v**2 - 2*v**3*x - v*x wrt v.\nAnswer: 5142*q*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7610561 and 12922.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 1634.\nAnswer: 6536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 170. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 (base 12) in base 10?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/3852321 and 16\/199653.\nAnswer: 234991581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.5. Let p = 0.3 - 3.3. What is the second smallest value in 4\/3, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 2135. Let t = -302 + u. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1379398899 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1400 and 345170?\nAnswer: 6903400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -5*r, 5*s - 2*r - r = 7. Let c(a) be the second derivative of -a**3\/3 - 379*a + 23. Let q(h) = -15*h. Determine s*q(b) - 10*c(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330)\/(-20)*(-36)\/396*312\/9?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(1 + 2) + -3. Suppose -q*k + 4*l = -23, 2*k + k + 5*l = 5. Suppose -k*f + 10 = -15. Solve -f*y + y + 4*i + 8 = 0, -y + 2*i = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2) + (9 - 0). Let x(o) be the second derivative of o**4\/12 + 7*o**3\/6 - 7*o**2\/2 + o. Let k be x(-8). Solve -2*w + k = z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 12. Let a(v) = 20*v + 73. Let m(j) = -6*a(j) - 39*g(j). What is m(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -11.3?\nAnswer: 282.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 8. Let m(z) = 4*z**3 - 18. Calculate -10*l(y) + 6*m(y).\nAnswer: 4*y**3 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12787657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 10*k - 7. What is n(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -4*b + 16, -n + 81 = -4*b. Calculate the remainder when 319 is divided by n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 - 4*d. What is the lowest common multiple of 12 and v(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-342 + 346)*58\/4. Calculate the greatest common factor of v and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 2*f + 3. Suppose 2 = -i + 2*i. Suppose -3*t - i = -2*t. Let a be x(t). Solve 6*p = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 + 2*v - 5. Let n be (-5)\/(-3) + 160\/48 + -7. Let m be 0\/((-2 + 0)\/n). Calculate s(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 - 27828*w**3 - 774453237*w**2\/2 - 774341929*w.\nAnswer: -w*(w + 2)*(w + 27827)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3.4. Let r = 4\/13 - 25\/39. Which is the closest to 0? (a) r (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, and 2 m when four letters picked without replacement from gigaaaaiaigamimgaig.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.00424? (a) 0.1 (b) 2\/7 (c) 0.2 (d) -482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 387?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-4)*n))\/n*n\/n**(-1\/17) assuming n is positive.\nAnswer: n**(69\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*z + 3*z**2 + 2 - 14*z - 17*z - 17*z + z**2 to s*z**2 + h + i*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w + 13. List the prime factors of j(5).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0112359t to milligrams.\nAnswer: 11235900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165655 - 16655. What is z rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000081217 rounded to seven decimal places?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-164)\/(-1) - (-1 - -3). Suppose 2*u + v = 5*u. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrjr when four letters picked without replacement from rrjrrrj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -19.97, -1\/3, -7, -0.3 in increasing order.\nAnswer: -19.97, -7, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.345539 * -0.8\nAnswer: 0.2764312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 13*r + 20. Let u be g(-11). Let y be (u - 32)*(-2 + 1). Find the first derivative of 55 + 2*z - 31 - y wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9565013, 9565017, 9565021?\nAnswer: 9565025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 33 = 5*n, -v - 166*n + 21 = -171*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37701804 and 897662?\nAnswer: 37701804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 4. What is the least common multiple of (672\/(-420))\/((-2)\/20) and i(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13493643 and 0.2.\nAnswer: -2698728.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 204*l - 106*l - 101*l.\nAnswer: -3*l - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59669*h - 701725*h - 1350072*h - 340085*h.\nAnswer: -2451551*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1038)\/54 + (-53)\/45 + (-308)\/(-220)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 39732000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 261*u**4 + 773948*u**3\/3 + 191420080*u**2\/3 + 83968144*u\/3 + 4880720\/3 = 0. What is u?\nAnswer: -494, -10\/27, -2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*i - 89*i = -45. Solve i*c - 92 = 28*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088902300 to the power of 1\/3, to the nearest integer?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.122 + -14.048. What is c rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, n: 1, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130795853 is divided by 299304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/18*(516\/(-24) - (-3 - -7)). Calculate the highest common factor of g and 30685.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**3 + 95*u**2 + 10. What is the hundreds digit of r(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 15 = 12*b, -3*p + 7 = -5*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + u**2)*(4049*u + 2260*u - 3150*u + 3297*u).\nAnswer: 6456*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11.4 times 90\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1480 and 169645?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*j - 5*u, -4*j - 3*u - 5 = -3*j. Let y = 23 + -22.7. Sort 0.9, y, j in ascending order.\nAnswer: j, y, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 46*j**3 + j**2 - 2*j + 46. What is the thousands digit of x(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 - 4. Let d = -2559.5 + 2558.6. Suppose g + 2 = 3. What is the closest to -2 in g, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2\/9 + 1032\/216. Suppose 0*o - 3*o - g*t = -34, 0 = -3*o + 2*t + 20. Let x(q) = 2*q**2 + 2*q - 17. Does 13 divide x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + (-2)\/64*-188. Which is the biggest value? (a) 0.03 (b) 3 (c) -2\/9 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46384 is divided by 371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v - 4*t, -2*t - 17 = 2*v - 7*v. Let d be (5\/v + 0)*0. Suppose 3*s = 3*m + 18, -s - m + 4 = -d. Put 3, s, -5 in descending order.\nAnswer: s, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.630057ns?\nAnswer: 0.001630057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1)\/(1\/(-7)). Let n(w) = 20*w + 120. Let s be n(-6). Suppose 2*x + s = -4*j - 6, 32 = x - 5*j. What is the highest common divisor of x and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 - l. Let a be i(0). Suppose -4*h - 41 = -5*t, -3*h - 2 + a = 2*t. Solve -q = 3, -4*q = -t*w + q + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*t**5 - 7565*t**4 + 67689*t.\nAnswer: -200*t**3 - 90780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 147624.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2. Suppose 12*m = 50 + 130. Let q(l) = 10841 - m*l - 10841. Calculate q(b(y)).\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 104. Suppose 4 = -4*d, -2*r + r - 4*d + 6 = b. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-18) - (69\/(-18) - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**2 + 3*x**2 - 5*x**2 + (4*x + 3*x - 2*x)*(1 - 2*x - 1) - 7 + x**2 + x**2 - 16 + (2*x - 1 + 1)*(2 - 2*x - 2).\nAnswer: -8*x**2 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from {m: 7, w: 1, k: 2}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*2\/(0 + 2). Let u = 9 + l. Let s = 14 - 13. Solve u*z = s - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -5 (b) -2 (c) -0.7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - -27. Let b = -284\/1359 + -2\/151. What is the closest to g in b, 1\/5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:11 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1592 = 2*c. Suppose -19 = z - c. What are the prime factors of z?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s - 13754 = -14938 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27985367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q*t**2 - 4405469*q - 5131*t**2 - t - 15 wrt q?\nAnswer: t**2 - 4405469","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.25040883 to three decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**4 + 1069179*v**3 + 4911*v**2 - 5384*v + 2?\nAnswer: -96*v + 6415074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/53 and -61\/16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1154426 + -307141. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*-7*42\/98\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in 1, -5\/3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4154516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2) + -1)*-10. Let q = -1 + x. Suppose 3*y + q*n = -11 + 35, 3*y + 3 = 5*n. Solve y*w - 3*w = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oomm when four letters picked without replacement from {o: 2, m: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from ypclu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/12)\/((110\/105)\/11). Let c(s) be the second derivative of 0 - 7\/3*s**3 - w*s - 5\/6*s**4 - 3*s**2 - 1\/10*s**5. Let c(j) = 0. What is j?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265053653 and 18578.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7822*y - 3758*y + 19398*y - 7818*y - 45*y**2.\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1040*f + 12 = 524*f + 520*f, -q = f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.265026 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4600 and 51451?\nAnswer: 10290200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r + r + (r + 3*r - 6*r)*(5 + r**2 - 5) - 7 + 7 - r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + 41 + -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 16. Let a(r) = 4*r + 24. Let t(i) = -5*a(i) + 7*q(i). Determine t(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 4*w**2 + 3. Let x = -1 - -9. Suppose 5*l - 14 = 11. Suppose -11 = 4*z - l*y, z + 5*y = y - x. Give n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -1\/3*o**3 + o**2 + 2 + 5*o. Let m(d) = d**2 - d - 2. Let f = 44 - 49. Determine f*m(i) - 2*j(i).\nAnswer: -3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2\/2 - z + 11. Let r be v(5). Differentiate -6*d**2 - 5 + 4*d + 14 - r*d wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 7 - 2. Let d(h) be the second derivative of -h**2 - 1\/6*h**k + 2*h + 0. Differentiate d(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1 (c) 0.53 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j - 2. Let n be h(1). Let l be ((-4)\/n)\/(12\/120). Solve 34*q**3 - 3 - 24*q + 4*q**l + 2*q**2 - 6 + 2*q**4 + 1 - 10*q**5 = 0 for q.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1011002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*n - 6*y + 3*y, 4*n = -2*y + 18. Suppose 15 = -0*p + 3*p. Suppose p = 5*x - 5. Solve -n*i + 16 = -5*w, x*i = 2*w - 4*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1543 - 41*m + 1543 to n*m + d and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/60 + 97*g**4\/24 + 230*g**3\/3 - 3249*g**2. Solve a(y) = 0 for y.\nAnswer: -92, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzmzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/(1 - (-795)\/(-798)). Let t = 136 + s. What is the third derivative of -45*m**2 + 255*m**t - 41*m**4 - 255*m**3 wrt m?\nAnswer: -984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 60534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, s: 6, v: 1}. What is prob of sequence xmv?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2185*m - m**2 + 219 - 2083*m - 218 + 4*m**3 to k*m**2 + p*m**3 + n + h*m and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (5 + (-12 - (-10 + 5)))) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612.835773 rounded to one dp?\nAnswer: 612.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*q = 335, -p - p + 4*q + 646 = 0. Find the common denominator of (6\/(-56))\/((-60)\/p) and -1 - ((-47)\/(-10) + 0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38600 divided by -41?\nAnswer: 38600\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y + p, 0 = -3*y + 3*p + 18. Suppose y*m = i + 7 + 7, 0 = -2*m + 4*i + 16. Calculate the least common multiple of m and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d\/d**2*d))**(-1\/3)*d**1\/(d\/(d*d*d\/(d*d**(-5\/4)))))**(-19) assuming d is positive.\nAnswer: d**(-665\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216 + -504. Let d be 1\/2*2 - g. Let i = 1032 - d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.095*20.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029145 is divided by 69970?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + h + 5 + 5 = 0, 4*j - 6 = 3*h. Suppose j*l - 4 - 5 = 0. What is the greatest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/4 + g**3 + 5*g**2\/2 + g - 349. What is w(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, o: 5}. What is prob of sequence uuou?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let f(w) = -w. Let x(c) = -3*f(c) + t(c). Let o(z) be the second derivative of z**4\/6 + z. Determine x(o(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.51 + -1.51. Which is the smallest value? (a) 47 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 2966318067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.78 - -0.18. Let l = 0.96 - p. Let u = 32 + -193\/6. What is the second smallest value in 0.2, l, -0.06, u?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 31, 57, 103, 175, 279, 421, 607?\n\"Answer: b**3 + b**2 + 2*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.099? (a) 1 (b) -0.4 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1066.056 nanometers?\nAnswer: 0.0001066056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:02 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 15 = r, -9*k - 464 = -473 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 70 = 4*a + 65, 31 = -2*c + 5*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = 4. Suppose 0*c + 3 = -c, 2*f + 7 = -w*c. Solve -2*z + v = -f*v - 13, 2*z + v = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**2 + 2*f - 2. Let w(b) = -15*b**2 + 3*b - 4. Calculate -7*v(p) + 4*w(p).\nAnswer: 3*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -1.6. Which is the biggest value? (a) 2 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = 4. Suppose 0 = 2*t + 2*t + y. What are the prime factors of ((-4)\/(-3))\/(t\/(-102))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000482430216 rounded to five decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - c = -4, 3*d - 46*c - 3 = -48*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (16 - (0 + 22 - 19)) + (3 - -61)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsaa. Give prob of picking 1 d and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 936 and 108.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*(sqrt(152) - (sqrt(152) - (sqrt(152) - (sqrt(152) - (sqrt(152) - sqrt(152)*1))*5)))\/sqrt(8))**2 + 4 + 1 + sqrt(931) + -1 + 1).\nAnswer: -1854 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 806 in -0.1, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7334 divided by -2?\nAnswer: 3667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 6*g + 5. Let y(w) = -4*w**2 - 5*w + 4. Let q(l) = 5*u(l) - 6*y(l). Let r(m) = -m**3 + m**2 + 6*m - 5. Let v be r(1). Give q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-27)*18\/(-4). Let i(z) = -3 + 18*z + g. Let b(u) = u - 5. Let q(o) = -1. Let p(n) = b(n) - 5*q(n). Determine p(i(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 6*m - 58168 = 0. Is (15\/(-10))\/(4\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/56)\/(22\/(-231))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3377 or -3301?\nAnswer: -3301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -927838.769 rounded to the nearest ten?\nAnswer: -927840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:20 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6873658, 13747314, 20620970?\nAnswer: 27494626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00341496439 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 67085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271124 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d - 7*d + 2*d)*(-1 - d + 1) - d**2 - 4*d**2 + 4*d**2 - d**2 - 2*d**2 + 4*d**2)*(-5 - 3 + 5)*(-191*d**2 + 988 - 988).\nAnswer: 1146*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 639913 to the power of 1\/2, to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -10. Let d(c) = -18*c - 34. Let w be d(-3). Calculate the greatest common divisor of w and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 9 = -2*z, 0 = -4*d - z + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 153003355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4 - 301*d**3 + 2*d**2 + d wrt d?\nAnswer: 48*d - 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 - 3) - (-5 + 5). Suppose j = -u - 8*u + 4*u. Let q = 8 + -6. Solve 0*s = 2*s - 5*l - 12, u = -5*s + q*l - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 3748*r + 8466640. Calculate z(1587).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 20*c - 11. Let x be r(5). Suppose 2*i + 11 - x = 0. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48110 is divided by 82?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 127*p**5\/3 + 149731*p**4\/3 - 100735*p**3 + 154709*p**2\/3 - 2362*p\/3 = 0?\nAnswer: -1181, 0, 2\/127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 240 - 238. Let v = -13089\/4 - -3296. Let m = v - 24. Put i, m, -2\/5 in ascending order.\nAnswer: -2\/5, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -15942, -2.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 74*u + 1429. Let j be t(41). Solve 102*b + 182 = j*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 - 27942*x**2\/7 + 97440558*x\/7 + 1075229782\/7.\nAnswer: 2*(x - 6991)**2*(x + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u - 6. Let i = 117 + -116. Let v be s(i). Suppose 5*m - v*w = 5223, w - 2080 = -2*m - 2*w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 18589\/3 + 228\/(-684)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/119161 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -7\/620, 0.1, 12, 1\/7, 1\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*j - j**3 + 5 - 6 - 1 in the form b + u*j**3 + s*j + m*j**2 and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-342)\/1)\/(-3)*(-20)\/(-6). Let k = -176 + z. Is k a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7665 and 498898425?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 4*h + (1 + 2 - 2)*(3*h + h - 3*h) + 4*h - h - 2*h - h - h + h)*(-3 - 2*h**2 + 3).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 147, 113, 45, -69, -241, -483, -807?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-597)\/(-15) - (415 - 376))\/(2\/(-55))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 53. Let i(s) = 12*s - 18*s - c + 4. Let l be i(-1). Calculate the greatest common divisor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -28*k. Let n be 1\/(-2) + 1\/(-10)*-25. Let z be (-20)\/80*(-2 - n). What is x(z)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -3 + (-149 - -70 - -32)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 4. Calculate the least common multiple of 1 and a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 113*n**2 - 221*n + 110. Determine a(-111).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 467 (b) -22.44 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15))\/(82\/6)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/89990 and 4\/98989.\nAnswer: 989890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8763123 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 146 - 140 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 10. Calculate the smallest common multiple of k and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4598)*-1*-3)\/(sqrt(10)\/sqrt(5)*-6 - sqrt(2) - sqrt(512)).\nAnswer: -33*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - -1. Let s = -58 + m. Is (-133)\/(-5) + (-21)\/s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + v - 119 + 258 - 134.\nAnswer: 3*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k + k + 4*k + 3*k + 21*k**2. Let f be i(-3). Calculate the highest common divisor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 11. Suppose -c + 4*c - y = 0. Solve -2*p - 3*p = -4*w + 5, c = -2*w - 2*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*z**3 + 247*z**3 - 46*z**3.\nAnswer: 135*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j**3 + 7*j + 2. Let b(o) = 26*o**3 + 11*o + 3. Give 5*b(p) - 8*f(p).\nAnswer: -6*p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.037 - -0.037. Let n = f - -42.9. Which is bigger: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684\/76 - 10\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12747.\nAnswer: 3, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 8:44 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(121)*1*-6)\/((-2*sqrt(110)*1)\/(sqrt(90) + (1*sqrt(90) - sqrt(90)))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*i = -21171 - 6291 + 2022 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-4 + (-8)\/(-4)). Is (2*(-11 - m))\/(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 5. Suppose 0 = -7*a + 4*a + 3*l - o, -3*a - 3*l + 18 = 0. Let p be ((2 - 2)\/1)\/a. What is p rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**14*k)\/((k*k\/(k**(-3\/4)\/k))\/k))**(-1\/9) assuming k is positive.\nAnswer: k**(-49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 32 + 3. Suppose z - 4 = i. What is the remainder when 8 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/78)\/((-99)\/(-858))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -18.5. Let u(t) = 8*t + 7. Let m be u(-4). Which is the second smallest value? (a) m (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14444110 - -22?\nAnswer: -14444033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 - 4*y + 36*y**2 - 48 + 50 - 23*y**2 in the form s*y**3 + h*y + k*y**2 + b and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/2 - 3061*q**4\/2 - 1294647*q**3 - 183248098*q**2 + 558829796*q - 374285520 = 0. What is q?\nAnswer: -1442, -180, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 4 + 26*(-2 + 3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3 + 2. What is the biggest value in -2, f, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 1. Let m be d(6). Suppose 0 = -v, -2*f + f - m*v + 3 = 0. Let h = -23 - -45. Solve 7 = -f*x + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 13. Let s be l\/(-21) - (-38)\/14. Suppose 2*u - 40 = -3*b + s*u, 0 = 3*u + 12. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - 2. Let c(i) = 3*i + 2. Let o = 7 - 2. What is o*n(q) + 6*c(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27990528*k**2 + 40*k - 694255.\nAnswer: -55981056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2173, 4341, 6509, 8677, 10845?\n\"Answer: 2168*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18968 and 3216.\nAnswer: 7625136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25715 and 461480?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 18)\/((-1)\/(-15)*4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*h + h**2 + 6*h**3 - 82 + 30 + 28 - 4*h**3 + 25 to the form v*h**3 + r + m*h + p*h**2 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*t - 55 + 65, -3*r + 2*t + 15 = 0. Let p(b) = 2*b - 1. Give p(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (105\/14 + -6)*6\/27. Factor y*a**2 + 1\/3*a - 2\/3.\nAnswer: (a - 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -42. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 20 + (19 - 50)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3 - 13. Let i(u) = 2*u**2 - 12*u + 11. Let w be i(r). Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (527\/102 - 1\/6). What is the nearest to -1 in l, -0.1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 51?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i**2 - 5*i - 2 - 3*i**2 + 4*i**2. Is 11 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 8:01 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/30)\/((-2)\/(-30)). Suppose -w = a*y - 44, -12 = -7*w + 4*w. Suppose 286 = y*h - 226. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -21 - ((-86 - -23) + 2 + -1).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 16. Let q(m) = 11*m**2 - 45*m. Determine t(q(j)).\nAnswer: -11*j**2 + 45*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*h + 121, 55453*g + 3*h + 59 = 55452*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14193038 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**2\/2 + 7*c + 3. Let f be y(5). Suppose -4 = -3*s + f*s. Solve 7 = -s*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**8\/1008 + l**7\/315 - l**6\/360 - l**2\/2 - 1. Let u(z) be the second derivative of c(z). What is a in u(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000730227 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 2, m: 1, t: 1, y: 2, k: 1}. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**3 - 11*u**2 - 9*u + 3. Let i(o) = -5*o**3 + 6*o**2 + 5*o - 2. Let s(j) = -11*i(j) - 6*m(j). Calculate s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1772951*x**5 + 3*x**4 - x**3 + 70950414*x**2 wrt x?\nAnswer: -106377060*x**2 + 72*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h + 2*h - 14*h - 8*h - 11*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4102606*33\nAnswer: 135385998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7473 - 7474. Which is the nearest to y? (a) 1\/6 (b) 0 (c) 0.3 (d) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1, 29, -0.1, -3\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s - 22*s + 11*s + 10 - 8.\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4394 + -4368. Solve -392 = -23*p - x*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*m + 3*t + 1231, 4*m = -4*t + 1196. What is the remainder when m is divided by 155?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 127*l + 596. Determine n(0).\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2024)\/(-368)*(-400)\/(-44).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, 3297, 0.2, -1\/2 in decreasing order.\nAnswer: 3297, 1, 0.2, -1\/2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140049?\nAnswer: 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10, 4*d - 903 = -3*a - 245. Differentiate 191 + 38*x - d + 26*x wrt x.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 28*j - 44. Solve 0 = -j*z + 3*r - r - 16, -1 = z - 2*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*q = 39*q + 2530 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1. Let v(t) be the first derivative of t**5\/60 + 3*t**2\/2 - 5. Let o(n) be the second derivative of v(n). Let f(d) = -b(d) - o(d). Factor f(w).\nAnswer: -(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**9\/12096 + s**8\/192 - 3*s**7\/56 - s**5\/30 - 25*s**4\/12 - 289*s**2. Let o(m) be the third derivative of n(m). Factor o(i).\nAnswer: -5*i*(i - 18)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38297592?\nAnswer: 2, 3, 531911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-5) + 2 + (-22)\/(-150)*-5. Let s = -0.3 - -0.2. Sort -4, -0.5, s, y.\nAnswer: -4, -0.5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -768 or -411?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -207, -153, -77, 21, 141, 283?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5267*x**2 - 6*x - 10647. Let q(v) = -10534*v**2 + 11*v + 21308. Let k(u) = 11*a(u) + 6*q(u). What is the first derivative of k(p) wrt p?\nAnswer: -10534*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57\/7 - -313\/35. Let w = 13 - 13.2. Which is the third smallest value? (a) w (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjaayyyyaajjjjaaj. Give prob of picking 3 a and 1 y.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -2.83.\nAnswer: -0.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-49) - 122952\/(-28). Differentiate -4 - 48 + 4447*b - k*b with respect to b.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 302. Give g(-102).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {s: 10, m: 1, q: 4, h: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065 a factor of 4116508122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 10:10 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 9 = -g + 2*f, -2*g - 2*f = -2. Does 44 divide -1 - (-1 - -4) - (-223 + g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26594 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 91*x**2 + 360*x**2 + 66*x**2.\nAnswer: 517*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 + 4974*s**2 - 1319740*s = 0. Calculate s.\nAnswer: 0, 302, 2185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6 + 51*b**5 - 28*b**3 - 3924*b**2 wrt b.\nAnswer: -240*b**3 + 3060*b**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6*a**2 + 6*a + 1. Suppose -y + 1 = -0. Let c(p) = 4*p**2 + 2*p - 1. Let m be c(y). Suppose m = -i - 0. What is d(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-4 - 4)) + 2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7078 = 1414. Let v = -1086 - u. What are the prime factors of v?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1215, 6312, 20147, 47088, 91503, 157760, 250227?\nAnswer: 373272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and -305.24.\nAnswer: 366.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3129 + -171?\nAnswer: -329a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 1 = 15*k. Let v(j) = 5*j**2 + j - 1. Let l be v(1). Put k, l, -2 in decreasing order.\nAnswer: l, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/51)*c)**(-47)*c**(5\/8)\/c**(-7) assuming c is positive.\nAnswer: c**(-35993\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1715 + -1715. Let c(f) be the second derivative of p*f**2 + 0 - 1\/6*f**6 + 2*f**3 + 0*f**4 - 5*f + 0*f**5. Find the second derivative of c(v) wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1683 + 1025 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3\/9 + 4704748*q**2\/9 - 23524040*q\/3 = 0.\nAnswer: -1176202, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.63 - -63.37. Let g = -66.000000673 + m. Round g to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 6*u - 168. Suppose 298 = -12*d - 62. Let y = u - d. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -39. Let c(w) = -5*w. Let r(o) = -11*o. Let b(a) = p*c(a) + 6*r(a). What is the units digit of b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -11. Let t = 0.28 + 0.02. Which is the second smallest value? (a) t (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, 8\/5, 4, -2, 351237?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -68*m**2 + 59*m + 97. Let h be g(-10). Which is smaller: h or -7292?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 8*k + 4*k - 20, k = u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4397\/(-132) + 34 - 3\/4?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 15. Let t(m) = 2479*m - 131. Calculate -9*s(f) - t(f).\nAnswer: -2461*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/36*1*(-6)\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70861601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*p - 2604 = -4*u + 400*p, 0 = 4*u - p - 66 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 6*y**2 + y + 4. Let h be q(-6). Let w = 3 + h. Is -3 - w*(2 + -12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66\/13 in -6, 13, 0.25, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*x**4 + 20*x**4 - 8 + 22*x**4 - 2*x**4 - x**4 + 4*x**4 + (-2*x**2 + x**2 + 0*x**2)*(1 + 2*x**2 - 1) + 0*x**4 + 0*x**4 - x**4.\nAnswer: 2*x**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2537181 - 46?\nAnswer: 2537135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1054 and 95693\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7738366 - 7738366 + 1943*y**3.\nAnswer: 1943*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:55 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 908\/4565 - -1\/913. Let o = 2 + -2.5. Which is the third smallest value? (a) o (b) v (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 + 3*q**2 - 4 - 10*q - 5*q + 6*q. Let i be t(-8). Solve -i*l = 4 - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -181.289?\nAnswer: 181.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43\/3 - 15. Put 0.2, y, 3 in ascending order.\nAnswer: y, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 3, -2\/7.\nAnswer: -2\/7, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-12)\/(-16))*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15415*g - 88 - 15404*g - 83 in the form z + o*g and give z.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20016320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/132 and 97\/1938840.\nAnswer: 21327240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-23)\/92)\/((-22)\/(-8)) - 463\/231 and 91\/226?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 19*r - 10. Let s be z(-17). Suppose -2*j - j = -s. Suppose -3*m - 2 = -j. Put -1, 4, m in descending order.\nAnswer: 4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -19 (b) -0.2 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/10)\/(61\/122)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 619.15672 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from tccjcccctccqc?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56493\/(-10) + (-1)\/4. Let q = i + 5651. What is the common denominator of (-110)\/(-24) + 2 + 0 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 394 by -35.\nAnswer: -394\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 4*m + 4*m - 2 - 2 - m + 2 + (7 + 10 - 8)*(3*m - 3*m - 2*m) + 4*m - 2*m - 5*m to h + j*m and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -2\/7, 34.13, -3, 6, -0.4 in descending order.\nAnswer: 34.13, 6, -2\/7, -0.4, -8\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*c + 26304 = -528*c + 145584 for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/4)\/((-6)\/(-24)) + -2. Let l = 26 + -12. Let g = l - b. Let d(i) = i**2 - 5*i - 3. Give d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 48. Let n be (0 + 3)*16\/6. Suppose 4*q + n + 0 = 0. Sort 5, w, q in descending order.\nAnswer: 5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + t - 4. Let i(z) = -13*z**2 + 3*z - 11. Let w(g) = -3*i(g) + 8*p(g). Suppose x + 38 = 34. Let h be 4 + (-15)\/(x + 9). What is w(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 207387727 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*h**3*n*x + 46*h**2*n*x - 78*h**2*n + 144598*h*n + 79*h*x wrt h?\nAnswer: -174*h*n*x + 92*n*x - 156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, u: 2, k: 10, o: 1, a: 2}. Give prob of picking 2 k.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeaeaaae. What is prob of sequence eaa?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) - 15\/27. Let r = -0.74 - -52.74. Let y = r - 51. Do a and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11279361 is divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740210.\nAnswer: 2, 5, 74021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2430465 at least as big as -2430460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/7 + 13404*a**3\/7 - 14999052*a**2\/7 + 59835456*a\/7 - 59781888\/7 = 0. Calculate a.\nAnswer: 2, 2232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100397 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 71\/5 (b) 0.5 (c) -1\/3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21413.\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -150.9, -27, -1, -4, 1 in increasing order.\nAnswer: -150.9, -27, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7449 + -127633.5\nAnswer: -120184.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-44)\/(-8))\/((-1)\/2). Let j = q - -12. Solve 2*d - 5*t + 4 = 0, -7 = 3*d - 4*t - j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*n + 104*u - 56*u - 53*u, -n + 134 = 27*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.0498 + 0.0498. Suppose 2*m + 6 = m. Let f be (m\/(-20))\/(6\/(-5)). What is the third smallest value in f, 1, -2, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*s**2 - 3*s**3 + 8738 - 26*s**2 + 1887*s - 32147 + 97*s**2.\nAnswer: -3*(s - 17)**2*(s + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 92277*j**2 - 3 + 92277*j**2 - 15*j to the form z + w*j**3 + r*j**2 + d*j and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2) - 2)*-2. Suppose t*l = 4*l - 3*a + 287, -5*l = -2*a - 292. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3 + 4*z - 11 - 1 + z**2. Suppose 2*u = 5*a + 42 + 18, 0 = -3*a + 3*u - 27. What is the units digit of m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g = -52*g - 6*c, -5*g + 2*c = 11. Let l(z) = 2*z**3 + 5*z**2 + 5*z. Let t(d) = -10*d**3 - 26*d**2 - 26*d. Give g*t(f) - 16*l(f).\nAnswer: -2*f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.5 + 5. Let g = 0.39 + 28.61. Let p = g + -29.1. What is the nearest to p in 2, h, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525\/(-30)*((-1)\/(-5) - (26 + -25))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 v when three letters picked without replacement from ukvjcul?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.1 (b) 0.04 (c) -4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 933*n - 12 - 932*n - 4*n**2 to y + u*n + k*n**2 and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 581*h**2 - 230*h + 32. What are the prime factors of c(-8)?\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 975311555\/186 - 5243597. Let s = 32\/93 - p. Calculate the common denominator of -17\/7 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397653965.\nAnswer: 3, 5, 19, 1634683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/108507 and -20\/27?\nAnswer: 976563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-24)\/(-100))\/6). Let f be (220\/y)\/((-2)\/(-35)). Is (-4)\/22 - 19586\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8\/19 (b) -0.5 (c) 66 (d) 1 (e) 0 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -31, 7, -270, -5 in ascending order.\nAnswer: -270, -31, -5, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.15 - 22.150001667. What is r rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**2 - 70012*r**3 + 70033*r**3 - 12*r**2 + 26*r**2.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -7\/2 (c) 55\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-322)\/(-42)*-1*42\/(21\/(-3)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1607*s + 822*s - 1561*s to z + p*s and give p.\nAnswer: -2346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -58, 0.3, 2, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3536, -7072, -10606, -14138?\n\"Answer: p**2 - 3539*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3839 - 3845. Sort t, 25, 3, 2, 5.\nAnswer: t, 2, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -62*p - 1573. What is r(-25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from uxuxz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300387 is divided by 310.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (800 + -801)\/((-10)\/(-8))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 15 = 27. What is the least common multiple of u and 3*(6\/2)\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -623 (b) -5 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, p: 3}. What is prob of sequence psp?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -20580, 3, -0.5, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2098 by 252.\nAnswer: -1049\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 13) to base 2\nAnswer: -1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.2. Let c = -53.93 + 55. Let q = c - 0.07. Put b, -0.4, q in increasing order.\nAnswer: -0.4, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25992748931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {o: 17, l: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3784 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 2*p**7\/105 - p**5\/30 - 2*p**2 + 1. Let v(h) be the second derivative of a(h). Find the third derivative of v(k) wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37494761 is divided by 3465?\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 35*a**2 + 64*a**2 - 28*a**2)*((a - 1 + 1)*(-2 + 4 + 0) + (14 + 11 - 11)*(-2*a - 4 + 4)).\nAnswer: -26*a**3 - 78*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y + 9*y**2 + 1\/3*y**3 - 5\/24*y**4 + 0. List the prime factors of j(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1968 by -984.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 - 16405*m**4 + 49260*m**3.\nAnswer: -5*m**3*(m - 3)*(m + 3284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2. Let h be r(-1). What is the second biggest value in 2\/7, 2\/3, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 13310?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310839 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1789*i - 2351*i - 2*i**3 + 1262*i.\nAnswer: -2*i**3 - 2878*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5817 by -3.\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 0*a + 2*a)*(-1752 - 707*a**2 + 1752) to the form u*a**2 + t + y*a**3 + j*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1316282 by -19646.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:40 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-21) + (-62)\/(-14). Find the second derivative of 9*f + 15 - 24 + 9 + l*f**5 wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1345003849 - 1345003756.99999926. Let x = 92 - m. What is x rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 67.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*c, -r - 1 = 3*c - 8. Let u be (1 - r) + 1 + 3. Let l = -4 + -1. Sort 5, u, l, 2 in decreasing order.\nAnswer: 5, 2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 2*y - y**3 + 6*y + 25 + 2*y**2 to the form k*y**3 + r*y + m*y**2 + h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -182018790 divided by 145?\nAnswer: -1255302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 8:29 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6c4 (base 15) in base 2?\nAnswer: -1000100111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - (-180)\/(-225). Suppose -2*h + 2 = -0. Sort 5, -2, k, h.\nAnswer: -2, k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 + 221.01916. Let h = -0.22 - -0.2. Let q = b + h. Round q to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45476298.\nAnswer: 2, 3, 7, 41, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:39 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 417835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 7, i: 1, b: 1, z: 2, u: 2}. What is prob of picking 1 u and 1 s?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/14)*(v\/v**10)\/v assuming v is positive.\nAnswer: v**(-143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n**3 + n + (2*n - 6*n + 14*n)*(0*n**2 - 6*n**2 + 4*n**2) - 5*n - 3*n**3 + 5*n - 3*n**3 + n**3 + 0*n**3.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 5\/48*n**4 + 3\/8*n**2 + 0 - 13*n + 3\/80*n**5 - 11\/24*n**3. Factor g(v).\nAnswer: (v - 1)*(v + 3)*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 4. Let o be h(-4). Let x be (-53)\/11 + o\/44. Sort x, -1, 5 in increasing order.\nAnswer: x, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 855\/12 + ((-95)\/(-20) - 5). Suppose -8*i - 23 = -h. What is the third biggest value in -5, 2, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/155125 and 46\/41294275.\nAnswer: 206471375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfffffffffff. Give prob of picking 2 f.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) 61\/80 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170 = 25*t + 1145. Is t equal to 7\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.383855 + -0.283855. Let d be ((-4)\/(-42))\/((-2)\/(-307)). Let q = -43\/3 + d. What is the second biggest value in -1, q, 1\/2, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 46. Suppose 0*l + 20*l - 200 = 0. Let h be i(l). Let r = 9 - 6. Solve -h*z + n - 4*n = -r, 0 = -4*z - 4*n + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 + 4 = 0. Let l(f) = 10*f - 3*f**2 - 2*f**m - 10*f. Let v(g) be the third derivative of g**5\/60 + 12*g**2 - 26. What is v(l(c))?\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32664*h**3 - 18*h**2 + 2*h - 6609237 wrt h.\nAnswer: 97992*h**2 - 36*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18620 - 52620. Round d to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 + 47*t + 68. Calculate d(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 326 divided by -1\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 880830986 to the power of 1\/2, to the nearest integer?\nAnswer: 29679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -295, -375, -499, -667, -879?\n\"Answer: -22*g**2 - 14*g - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62375338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*v + 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 23 - 22 = 0. Suppose 2*m + q - 21 = 0. Which is the nearest to -3? (a) -5 (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 891 and 891495.\nAnswer: 8023455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*a + 3384 = 1024*a - 2231*a for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21385 + -1655. What is l rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132494 times -61?\nAnswer: -8.082134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 9. Let u = -0.028 + -0.422. Let b = -2.55 + u. What is the second biggest value in c, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17338*g - 17333*g + 25 = 2*f, -3*f = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3515a + 5?\nAnswer: 3515f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/4 + 13*s**3\/2 + 29*s**2 + 30*s = 0?\nAnswer: -2, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Suppose 4*j = 4*a - 3*a - 18, 4*a = j + 12. Suppose -5*n - 3*w + 30 = -a*w, -3*w = n - 20. Solve -v*b = 8, n - 7 = k + b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 - 140. Suppose 5*d = -4*s - f, -4*d - s + 2*s = 96. Let a = d - -43. Solve w = 4*j - a, j + 0*w = 4*w + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2. Let s(k) = 5*k**2 - 4. Let v(m) = -m - 10. Let i be v(-4). Suppose -5*h = -3*h - 32. Let y be h\/(8\/(-2)) - -5. Determine i*c(l) + y*s(l).\nAnswer: -l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 30 = 9*k. Let j be -4 - (k\/(-3) - -44). What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616, -1267, -1918, -2569?\nAnswer: -3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 15) to base 3\nAnswer: -122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25574002 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001101 (base 2) to base 15.\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = 13*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffjfjf. Give prob of picking 1 f and 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8240718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 140976757 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13146 is divided by 1314.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 133, 357, -149 in ascending order.\nAnswer: -149, 1, 5, 133, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 2. Suppose 2*t + 3 = -1. Let j be t\/4*(6 + -60). Let k be ((-20)\/12)\/5*j. Give y(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-4)\/24*-3. Is (15 + -16)\/(r\/(-1849)) - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 326 and 8.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -604 - -606. Suppose 3*u + l*r = 14, -2*u + 106*r = 103*r + 8. Solve -u*f = -9*m + 4*m + 22, 1 = -m - 5*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 22*w - 2. Calculate the remainder when k(1) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4349*y - 106683. Calculate b(25).\nAnswer: 2042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -67374, 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (8 - (12 + 1 - 9)) + -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**9\/252 - g**5\/15 - g**2 + g. Let h(y) be the first derivative of w(y). Find the third derivative of h(d) wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20921019, -41841984, -62762949, -83683914, -104604879, -125525844?\nAnswer: -146446809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6822.69 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13191419*p**3 + 25284900*p - 4 wrt p?\nAnswer: 79148514*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 0*a - 4\/25*a**5 + 0*a**2 - 8\/15*a**3 + 85 - 3\/5*a**4. Determine n so that y(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 6 + (-12 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((-5)\/(-20))\/(234\/(-36))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 4)*(2*l**3 - 3*l**3 + 0*l**3) in the form h*l**2 + c*l + s*l**3 + j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12978, 25952, 38926?\n\"Answer: 12974*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*w + 19 = 15, 3*w + 18 = 0. Solve q = -10 + m for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0276 + 0.0276. What is the closest to -0.4 in u, -2, -4, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2130, 8595, 19372, 34461, 53862, 77575, 105600?\n\"Answer: 2156*y**2 - 3*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)\/b*b)**(-1\/36)*(b*b**(4\/7)*b)\/(b*b*b\/(b*b*b**5)*b) assuming b is positive.\nAnswer: b**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888*v - 362*v - 292*v.\nAnswer: -1542*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**5\/60 - z**4\/24 - z**3\/6 + 14*z**2 + 6. Let x(c) = 30*c**2 + 4*c + 4. What is -4*w(g) - x(g)?\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345321 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*n**3 + 0 + 0 + 102*n**3 + 112*n**3 + 108*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43256 is divided by 3843?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2655, -2649, -2645, -2649, -2667, -2705, -2769, -2865?\nAnswer: -2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-14))\/(3*6\/(-828))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -0*l - 160. What is the highest common factor of 28 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2355082524*w - 9*w**2 - 2355082524*w + 8*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 6:36 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 1, u: 2, j: 4, a: 3, n: 2}. Give prob of picking 1 c, 1 u, and 1 a.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -15. What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133321 - 12331122?\nAnswer: -13131103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -24. Let g be o\/40*398 + (-4)\/(-20). What is the highest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 + 162*w**3 - 2487*w**2 + 8100*w - 7500 = 0. What is w?\nAnswer: 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -5*r**4\/4 - 5*r**3\/3 + 5*r**2 + 13. Factor k(y).\nAnswer: -5*y*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785117 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/(-24) + -7 - 3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from iiisaissiissisasiia.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 11*g**2 + 3. Let p be x(11). Solve -p*o - 3 = 0, 2*o + 6 = -3*v - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -z + 5 - 28, 0 = 2*z - 2*a - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2 and -99\/254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**6*b**2 + 130776*a**3*b**2 - 2*a**2*b + 5625*a**2 - 2*a*b**2 - 4*a + 2*b**2 wrt a.\nAnswer: -360*a**3*b**2 + 784656*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 - -473\/3. What is the second smallest value in -6, 0.2, -10, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.5905 less than -149?\nAnswer: -180.5905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -93679960?\nAnswer: 93679962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o + 15. Let k(q) = -7*q + 13. Let r(c) = -6*k(c) + 5*t(c). Let p(s) = -2*s - 2. Calculate 5*p(b) - 4*r(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1273505404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o. Let r be (o + 0)*6\/(-12). Suppose 5*w + 2*d - 60 = r, 4*d = -2*w + 3*w + 10. Calculate the lowest common multiple of 1 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 166\/10 + 6\/(-10). Solve 3*q + 7 = -0*q - o, n = -4*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.161 rounded to 2 dps?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*u**3 + 599*u**3 + 7*u**2 - 7*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1616 divided by -13\nAnswer: 1616\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11961*d + 343990 + 171740 = 49251 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*z - 4\/3*z**2 - 1280\/3.\nAnswer: -4*(z - 40)*(z - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1149151883 divided by -9497123.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3.77. Let f = -185 + 187.23. Let g = s - f. Are g and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944311 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/3)*l\/(l\/(l*l*(l\/l**6)\/l*l*l*l))*(((l**(-5\/3)\/l)\/l)\/l)\/(l\/((l\/((l**3*l)\/l))\/l*l)))**(16\/7) assuming l is positive.\nAnswer: l**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1871 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5*g + 640*f**5 + 3*f**3 + 2621*f - g - 2 wrt f?\nAnswer: 20*f**3*g + 12800*f**3 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 168668.4 days?\nAnswer: 14572949760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(3472\/(-1596)))\/(222\/(-37)).\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2 + 0*k + 7*k - k**2 - 4*k + 0*k. Let j = -894 + 896. Calculate g(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*v = 127*v + 6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2629 - 2629.2. Sort 0.2, 3, 18\/49, 1, o in ascending order.\nAnswer: o, 0.2, 18\/49, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(114) + -1*sqrt(114))*-5)\/(sqrt(216) - (sqrt(216)*-1 + sqrt(216))*5)*4 + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38250, 76605, 114948, 153273, 191574, 229845, 268080, 306273?\nAnswer: 344418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 18 = -14*t + 13*t, -4*t = 4*l - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 69 times -622\nAnswer: -42918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from nzzkznjzzzznazkizzj?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/15 + i**4\/12 + 2*i**3\/3 - 43*i**2. Let u(d) = -2*d**2 - d - 2. Suppose -9*q + 56 = -q. Calculate q*u(h) + 4*o(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238054780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 - 12*y**2 + 24*y + 32 = 0. Calculate y.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -5*f + 4*z - 349, -3*z + 50 = -f. Let c be -4 + (-410)\/f - (-12)\/15. Solve -n - c = 2*h, n - 5*n = -3*h - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086884.\nAnswer: 2, 163, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 5, n: 12, d: 1}. What is prob of picking 1 n and 1 d?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(3\/8)*b*((b**(-19)*b*b)\/b)\/b assuming b is positive.\nAnswer: b**(-133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329 + -211. Sort l, 3\/7, -3.\nAnswer: -3, 3\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2750 = -524. Suppose -k = -8*k + x. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/17)\/k)\/k**(-1\/4) assuming k is positive.\nAnswer: k**(-27\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607*q + 601*q = -4020. What are the prime factors of q?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 90.291?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a208 + 3a6?\nAnswer: 2a5b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)\/(17 - 18). Suppose 0 = 3*p + h*p. Suppose u - 5 = -p*u - 5*z, -3*u + 15 = -4*z. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -188*b - 35496. Let u(f) = -f**2. What is g(u(t))?\nAnswer: 188*t**2 - 35496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d**2 - d**2 - d**2 + 2*d**2 to the form f*d**2 + n + h*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 7*a**2 + 4*a + 1. Suppose 3*j + 14 = -1. Let b be f(j). What is the highest common factor of b and 186?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112444*4.03.\nAnswer: 453149.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.741 - -1022?\nAnswer: 1053.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 8*j - 7. Suppose -5*v = -21 - 9. Let s be z(v). Suppose -5*k = -s*t + 25, 0*k - 3*k = -2*t + 6. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*p**4 - 3*p**3 + 0*p**3 - 33*p**4 - p**2 + 5*p**3 - 2*p + 2 + 10*p**4 to l + k*p**2 + t*p**3 + n*p + i*p**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7474 is divided by 2367?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(3\/(-15)*2). Let m be (-3)\/(-1*6\/16). Let w be (-31)\/(-6) + m\/(-48). Solve h = -5*x - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140047206*x**4 + 396081*x**2 + 478*x.\nAnswer: -3361132944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 + 12*u + 28. What is g(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6141, 49630, 167675, 397554, 776545, 1341926, 2130975?\n\"Answer: 6213*s**3 - 2*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}