diff --git "a/data/dm_maths/full_data_1/1893_11255.jsonl" "b/data/dm_maths/full_data_1/1893_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1893_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Does 53 divide 25387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2280 = 42*g - 72*g. Let v = g + 375. What is the highest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 32 - 93 = -2*r. Solve 0 = r*i - 124*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose q*z - 12 = 4*z - 4*p, -2*p - 8 = 3*z. Does 9 divide 11 - 3\/6*z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68690222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.5225 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2. Let l(y) = -282976631*y. What is l(u(o))?\nAnswer: -565953262*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/6 + 3)*6. Let o be -2*4\/a + 5. Sort -3, o, 5.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 13 = -p - 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 52 = 29*f - 33*f, 4*f + 65 = 3*b + 9*f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-330))\/(16\/120).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -665*j + 175. What is the hundreds digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 336 = 42*t. Solve 2*a + t = -z, -4*z - 19 - 13 = 4*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(4*p - 3*p + p)*(-1 - 4 + 3 + (-2 - 3 + 3)*(1 + 1 - 1) + 2 - 5 + 1 - 3 - 1 + 0).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p = -45*p - 1990. Suppose -7*v + p = -757. What are the prime factors of v?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + 15*g**4 + 88*g**3 - 88*g**3 - 2 + 2 + g**5 + (0 + 2 - 3)*(-g**4 - 2*g**5 + g**4).\nAnswer: 4*g**5 + 15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 717793 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: Suppose -5*a = -7*a - 6. Let s = 12 + a. What is s rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -64, -143, -254, -397?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37\/2 of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -78163854 < -78163854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/35)\/(3\/(-21)). Suppose 6*w + 2 = -x*u + w, 0 = -5*u - 2*w + 16. Suppose -5*h = -5, -2*v - u*h - 172 = 2*v. What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 14 = 2*v. Is v less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 949, 1950, 3361, 5188, 7437?\nAnswer: 10114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313428 is divided by 315.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127.436 + 0.364. Let r = 19.8 - g. Let a = 107 + r. What is the fourth smallest value in 4, a, -0.1, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*u**5\/11 - 72*u**4\/11 - 3*u**3\/11 + 148*u**2\/11 - 60*u\/11 = 0. Calculate u.\nAnswer: -5, -2, 0, 6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 3\/2, -2\/5, 1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 58999.\nAnswer: 4\/58999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -23*m**3\/6 + 11*m**2\/2 + 6*m - 2. Find the first derivative of d(q) wrt q.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366340 and 780.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 204, -13, 0 in increasing order.\nAnswer: -13, -3, 0, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4\/9 + 1402*q**3\/9 - 1406*q**2\/9 = 0. What is q?\nAnswer: -703\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 798. Let d(b) = -202*b - 8. Let q(p) = -126*p - 5. Let c(i) = -5*d(i) + 8*q(i). Give c(h(y)).\nAnswer: 4*y**2 + 1596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 - 5*j**3 - 753*j + 753*j.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 - 128*p + 454. What is c(7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -603 - -602.87. Which is the second smallest value? (a) -0.1 (b) 3 (c) 0.3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85) - ((sqrt(85)*-2 + sqrt(85) - sqrt(85)) + sqrt(85))) - sqrt(85))*2)\/(sqrt(45)\/(1*sqrt(9))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 2:20 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(-99*x + 21*x - 60*x)*(-29*x**2 + 2*x**3 + 29*x**2 + 7) as n*x**4 + i*x**2 + v*x**3 + q*x + t and give n.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205914 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065083718 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -0.2. Let r = n - 1.8. Let h = -218 + 214. What is the nearest to -1 in h, -0.05, r?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 6*x**2 + 4*x. Determine u(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 - 9)) + -10 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*u - 21, -2*f = 4 - 6. Suppose 0*q = 3*q + 9, -2*q - 22 = -4*h. Suppose u*d - h*d = 1197. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 704\/9 - (-12)\/54. Let h = x - -85. Sort h, -13, -1, -3 in increasing order.\nAnswer: -13, -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366365 and 2115.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-9 - 3 - 14) - 4 - -10 - 111.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51695223, 103390446, 155085669, 206780892, 258476115, 310171338?\nAnswer: 361866561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*p**2 - 152*p**2 - 2*p**3 + 96*p**2.\nAnswer: -2*p**3 - 129*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -308 + 191. Let v = o + 125. Solve 6*g = 2*g + v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p + 5. Let s be y(2). Let i(q) = 0*q**2 + 2*q**2 - 4 - 12*q - 3*q**2 + 2*q. Is i(s) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35648, 71297, 106946, 142595, 178244, 213893?\nAnswer: 249542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(65))\/(4*sqrt(55)\/sqrt(11)).\nAnswer: 15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664364323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(-903)*((-21)\/(-56)*-8)\/((-4)\/(-10))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j. Let q be 0\/(-3) - (-7 + 2). Let o(s) = -s + 4*s + s - q*s. Give x(o(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 1. Let x be j(0). Let d(h) = 6*h**3 - 3*h**2 - 21*h - 6. Let u(c) = c**3 - c**2. Let v(a) = x*d(a) - 3*u(a). Factor v(p).\nAnswer: -3*(p - 2)*(p + 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492373.323 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15892 = -30*v + 26018. What is the remainder when v is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-15)*35\/28*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/85 + -429\/170. Let c = -4\/399 - -232\/399. Let g = -1.01 - -0.01. What is the closest to g in c, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2072*t + 26931. Give n(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 7 - 7 - -6 - -2 - 23.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -440 > -14566\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d + 14. Let w(k) = -1. Let s(q) = u(q) + 5*w(q). Let t(c) = 3*c - 4. Let m(y) = -4*s(y) - 9*t(y). Let i(z) = -2*z**2. What is i(m(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, l: 3, j: 3, t: 1, y: 5}. Give prob of sequence jg.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 76 = 5*f, 312*d - 307*d + 52 = -3*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 13. Let v(b) be the first derivative of -b**2\/2 + 747. What is 4*v(l) - z(l)?\nAnswer: -l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 31, 102, -3, 11, 3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 6*s**2 + 333347 - 333347 + 2*s**3 - 3*s in the form n*s**2 + w*s**4 + m*s + g + o*s**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3 + 3)*(-66*d**3 + 123*d**3 + 185*d**3).\nAnswer: -726*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 128761083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:24 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1 - 3\/(-4)). Suppose -2*h - 20 = -k. Let a(o) = -4*o - 8. Let v be a(h). Solve m = -2*i - 3, -3*m + v = -7*i + 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (418\/2)\/(1\/(-2)). Let z = s - -425. Solve -10 = 4*o - 2*a, 2*a = z*a + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/24 and 5\/231.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 497874 and 2028?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.8. Let h = -0.79 - -0.562. Let x = h + j. What is x rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - s)*(39*s + 26*s - 11*s).\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19537 + 19537.9593. Let x = -0.0407 - y. Let v = -1 - -0.5. Which is the closest to -1\/2? (a) x (b) 6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1956 and 27804?\nAnswer: 4532052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u + o - 1, 0 = 2*u - o + 1. Suppose 3*k + 0*k + 15000000 = u. Round k to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 929*g - 933. Let c be x(1). Put c, -111, 0.4, -40 in increasing order.\nAnswer: -111, -40, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1. Let h(s) = s. Let l(m) = h(m) + 6*w(m). Let g be l(-7). Let j be (-1)\/g + 10\/(-15). Is 0.2 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5539?\nAnswer: 1\/5539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = 0, -o - 2*y + 5 = -4*o. Let n be (3\/(-15) + o)\/(-2). Put -2\/7, n, -3 in increasing order.\nAnswer: -3, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:43 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*((2*2*sqrt(684))**2 - (sqrt(684) + 2 + sqrt(684) + -1)**2) + -5)*1.\nAnswer: -96*sqrt(19) + 32808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -52. Let w(l) be the third derivative of 1\/4*l**q - 3\/2*l**3 - 1\/60*l**5 + 0*l + 0 + 3*l**2. What is t in w(t) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3 - 0)) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (22 - (7 - -5)) - 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v, -3*q + 5*v = 0. Suppose 27*x = 39*x - 12. Suppose 5*g - 1 = 4, -3*b = -4*g + x. Solve y - 5*n + b = -2, -y + 3*n - 3 = q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, f: 2, i: 1, u: 1, j: 2}. Give prob of picking 1 u and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10708 and -1678.\nAnswer: -17968024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/11))**(-11\/2)\/(a**(-14\/9)\/(a\/a**(2\/21))) assuming a is positive.\nAnswer: a**(344\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 6\/39.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 2120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**5\/50 + d**4\/10 + d**3\/5 + d**2\/5 + d - 1. Let u(x) be the first derivative of w(x). Factor u(k).\nAnswer: 2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + -243 - (19 + -20 - 10)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 8:17 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzmbbbzbmz. Give prob of picking 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5 + 8, -3*k - 2*t = -3. Suppose -k*a + 63 = 2*y - 6*y, 72 = 3*a - y. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1231006*p - 6. Let t be b(-1). Suppose t = -32*c + 33*c. Round c to the nearest 10000.\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*a - 27*a - 26*a + 106 - 42 - 64.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 1715*c = 1712*c - 24, -4*g - 38 = -2*c for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00636 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2. Let j(u) = -18883*u**2. Determine f(j(l)).\nAnswer: -1069703067*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -14114237?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17171 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3536104, -3536109, -3536114, -3536119, -3536124?\nAnswer: -3536129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i = 12*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1429, -0.01, 1\/3?\nAnswer: 1429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from 173980.\nAnswer: 173970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17115228*i**3*y**2 + 2*i**3*y - 43621*i*y**2 + i*y - 942*y**2 wrt i.\nAnswer: 102691368*i*y**2 + 12*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 60*j**2 - 16*j - 2612. Calculate n(0).\nAnswer: -2612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.464, 0.2, -1324, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 4c5a095?\nAnswer: -4c5a097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:01 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:07 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 1\/6*l**4 - 1\/3*l**3 + 0*l**2 + 2*l + 0. What is the second derivative of a(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5257698163\/245 - -21460022. Let i = t - -1\/490. Calculate the common denominator of 44 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**4*m + 2*b**3*k*m + b**3*k - 5*b*k*m - b*m + k*m - 1 wrt b?\nAnswer: 60*b**2*m + 12*b*k*m + 6*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 - 68*l**2 + 3601*l\/2 + 6027.\nAnswer: (l - 98)*(l - 41)*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573596024 - 2*z**2 - 573596024.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*24*(-8)\/(-1920)*(60\/(-16) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 48*d - 17*d - 9*d - 8*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109835203 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from gggjegagjejeeg?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 120051.\nAnswer: 120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 430 - 641. Let q = b - -355. Calculate the highest common divisor of 32 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-2\/17))**4*(v*v*v*v*(v\/(v\/(v**(-18)\/v)))\/v*v)\/v**(-6\/19) assuming v is positive.\nAnswer: v**(-2007\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 + 40)*44\/1628.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l*r**4*y + 3*l*r**2*y**3 + 4165*l*r**2*y - 2*l*r*y**3 - 5*l*r*y**2 + 3*l*y**3 - 360292993*r**4*y**3 - r**2 + 10 wrt r.\nAnswer: -24*l*r*y - 8647031832*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2844344513?\nAnswer: 83, 107, 320273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-92)\/138 + (0 - (-149)\/12) and 63\/304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ac724 (base 13) to base 12.\nAnswer: -42ab91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48c6 - 36?\nAnswer: 4890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cicgciiicxicciricixi. What is prob of picking 2 c?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*g + 2*g + 33*g + 68*g in the form u + p*g and give p.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 765 = -2385. Suppose -c - 486 = -3*z. Suppose -79 = 5*s - 3*m - z, 0 = -3*s + 2*m + 130. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59320.49 nanoseconds in seconds?\nAnswer: 0.00005932049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 + 3*h**5 - 4*h**3 + (-2 + 1 + 3)*(3*h**5 + 2*h**5 - 6*h**5).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**4\/24 + s**3\/6 + 21*s**2 - 62*s. Let o(j) be the third derivative of -j**4\/6 - j**3\/2 - 3*j**2. Determine -2*c(d) - o(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 184*p**4 + 2284*p**3 - 3688*p**2 - 2288*p + 3872 = 0. Calculate p.\nAnswer: -1, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 3*k**2 + 5*k. Let o be c(-4). Let p(u) = -u**2 + 8*u - 5. Let l be p(6). What is the smallest common multiple of 14 and (l + -4)*o\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from bbplbpkpiipxp?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37, -4 in descending order.\nAnswer: -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2 + 266*y - 516 = 0.\nAnswer: 2, 129\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2355*r**4 + 3*r**3 - 39*r**2 + 2*r + 5895895.\nAnswer: 9420*r**3 + 9*r**2 - 78*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**2 - 5*q**2 + 21*q - 6 + 14*q**2. What is the units digit of v(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 7. Suppose -7*p + 9*p = -10. Let m be o(p). Solve t - 4*x + 8 + 0 = 0, t + m*x = 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12103 divided by -38.\nAnswer: 637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6550451?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqqqcq. What is prob of sequence qcq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 48. Let k(o) = 31*o**2. Calculate n(k(b)).\nAnswer: -62*b**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) + ((-45)\/6)\/(-5). Suppose -p*i + 154 = 9*i. Calculate the remainder when 80 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -64 - 31. Let z = 10 - v. What is z rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2160 = 5*z, 1728 = z - 5*z + o. Let m be (-2)\/11 + z\/(-198). Solve -2 = 5*p - 2*a, a + 3 = m*p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 6*f**2 - 5*f - 5. Let l(w) = w**3 - w. Let c(y) = i(y) - 5*l(y). Let d(b) = -5*b**3 + 5*b**2 - 4. Determine -6*c(a) + 7*d(a).\nAnswer: a**3 - a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174008 is divided by 1061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 630474895\/1677 - 375954. Let b = o - 3\/86. Let w be (-36)\/6 + 6 - -1. Is w at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*n - 36, 3*n = -k + 6*k - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 13*m + j = 13210, -m + 2*j + 6600 = 0. What is the highest common divisor of 52 and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.16123, 5\/6, -8, 1\/2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3614605 is divided by 157?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1276648, 1276647, 1276646, 1276645, 1276644?\nAnswer: 1276643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1104284.3 to the nearest 10000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150174258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {x: 5, n: 4, e: 1, i: 2, o: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-130)\/(-1352)*-56?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1020.51 - -1020.468169. What is h rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -3. Suppose -2*z = -3 + g. Which is the nearest to z? (a) 3 (b) -3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 4. Let y be p(-2). Suppose 2*l = y*l - 20. Suppose 0 = 6*x - x + l. Let k(u) = 7*u**3 + 1. Calculate k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 9:22 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/12744 and 83\/12.\nAnswer: 12744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9553 and 3178.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181 - 161. What is the tens digit of 1165\/g - -4 - (-3)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6377972, -25511908, -57401796, -102047630, -159449404, -229607112, -312520748?\n\"Answer: r**3 - 6377982*r**2 + 3*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 1.3. Let h = i + 6.2. Let y = 7.40000031 - h. What is y rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t**4 - 5*t**2 + 1\/2*t**3 + 0*t - 1\/60*t**5 + 0. Differentiate r(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67876.5857 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose -3*f + 5*p + 77 = 0, 7*f - 4*p = 4*f + 76. Suppose -4*j + 35 + 10 = -5*r, 2*j - 4*r - f = 0. Solve j = i*h - 0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-168)\/9) - 18544\/(-2432).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143.9 + -145. Sort 1\/2, -0.1, r.\nAnswer: r, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t - 16. Let n be z(-18). Let l = n + 422. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:07 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*j - 11, 0*l + 18 = 3*j - l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1545 + -19.\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 8:15 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.72 + -0.42. Let o = 3.3 - h. What is the second smallest value in 4, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -76. Suppose 0 = i - x*i + 12. Suppose -227 = -i*b + b + 4*a, -a - 848 = -4*b. List the prime factors of b.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63780 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8003, 8023, 8063, 8129, 8227, 8363?\n\"Answer: i**3 + 4*i**2 + i + 7997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, m: 6, h: 3}. Give prob of sequence rm.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (5 - (4 - 1)). Suppose -3*i - i + r + 328 = 0, 0 = n*i - 2*r - 328. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 w when three letters picked without replacement from rsxwrrwsrrsws.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + -6 + 2 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 9) to base 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/20 + m**4\/12 - 7*m**3 + 30*m. What are 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 is the second derivative of 3452*l**2 + 245*l - 1723*l**2 - 18*l**3 - 1731*l**2 + 2 wrt l?\nAnswer: -108*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 5*l**2\/2 - l + 48. Let r(n) = 8 - 6 - 4 + 3 - 6*n. Determine 7*c(y) + 6*r(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9099941 - -0.91. Round i to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)*p**(-4) assuming p is positive.\nAnswer: p**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1842 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*l = -6, 3*h = -l + 13 - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 13, 30, 49, 70, 93?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11886100 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 43 = -35. Let f(y) be the second derivative of y**3\/3 - y**2\/2 - 2*y. Let p be f(1). Which is the biggest value? (a) m (b) 1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*q - 256*q - 16*q**2 + 14*q**2.\nAnswer: -2*q**2 + 41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-16 + 22 + -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) - ((-242)\/6 + -1). Let o = a - 17. Is -753*(-4)\/10*20\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from tggitggtytgggcgi?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2233933?\nAnswer: 670179.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 136 in descending order.\nAnswer: 136, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) + (-2 - 2). Let z be -3*(-1)\/9 + f. Suppose -5*q + 2*u - 15 = 0, 0*u + 2*u = q + 3. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Let o = 0.45 - 0.64. Let w = -0.09 - o. Which is the third biggest value? (a) p (b) 2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -4, -2, 121.\nAnswer: -11, -4, -2, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(3\/(-9)) - (10 + -39). Suppose 4*m = 2*m - 12. Let v be (-2)\/3 + (-784)\/m. Calculate the greatest common divisor of v and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/1051 or 0?\nAnswer: 12\/1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 6*n - 22*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(4*m - 449 - 83*m + 80*m).\nAnswer: -2*m + 898","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 3, m: 3, f: 5, j: 1, y: 1}. What is prob of sequence mm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*(1 + (0 - (-3 - 140))). Let g be 128\/u*6\/4. Which is smaller: 0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -997b - -4e?\nAnswer: -992d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9200837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620656817?\nAnswer: 11, 23, 101, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/13 + 10*r**2\/13 - 16*r\/13 - 96\/13.\nAnswer: 2*(r - 3)*(r + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 1 - 1)*(9*s + 5*s - s) + (-2*s + 3*s - 2*s)*(83*s + 44*s - 12*s).\nAnswer: -102*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 1502964.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z**4\/7 + 15250*z**3\/7 + 456662*z**2\/7 + 123954*z + 426240\/7 = 0 for z.\nAnswer: -555, -384\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let d = f + 6. Let 0 - 5*v + 2 + v**3 - 2*v**d + 4*v**2 = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + n + n)*(1 + 4 - 1) in the form f*n + z and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.066 - 23. Let p = u - -0.434. What is the nearest to -0.4 in -3\/5, p, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c + 4. Let v be -3*(-2 + 5\/3). Let t be (v - 28\/24)*5. Is c <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(-28))\/(3\/(-6)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 1216*j**2.\nAnswer: -2*j**2*(j + 608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 39, 44, 57, 84?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b - 525 + 11 = -107 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(2) + -5) + 4.\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2074, 8314, 18718, 33286, 52018?\n\"Answer: 2082*x**2 - 6*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 2. Let r be (20\/(-70) + 0)\/(1\/7). Calculate w(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n - 50. Let p be (135\/n)\/9 - (-2790)\/4. Calculate the remainder when 32\/(-40) - p\/(-20) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.84 + 0.14. Let x = -1.700024 - w. Round x to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.58 - -0.48. Which is the nearest to x? (a) -1 (b) -2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(72)\/sqrt(3))\/(sqrt(8)\/sqrt(2)*-1))\/(sqrt(98) + 3*-1*sqrt(98) + (sqrt(98)*-1*2 - sqrt(98))).\nAnswer: -2*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0474 or 0?\nAnswer: 0.0474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - t + t**2 - t**2 + (4*t**2 + 11 - 11)*(3*t**2 - 2*t**3 - 3*t**2)*(30 + 72 + 55).\nAnswer: -1257*t**5 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d. Let n = -90 + 159. Let j(m) = -n*m - 1956 + 1956. What is a(j(l))?\nAnswer: -138*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (98\/14 + -6)*(-1 - -1). Let m be 3\/4 - (-39)\/12. Solve w = -5*k - 2*v + m, -4*v + 5 + 3 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/29)*q*q**(-10)*q**(2\/15)*q*(q\/(q\/(q**13*q*q)))\/q assuming q is positive.\nAnswer: q**(2698\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2 + sqrt(112) - sqrt(112)) + -5) + 0 + 2*sqrt(112) + 4)**2*-3.\nAnswer: -1347 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4374, -17481, -39324, -69903?\n\"Answer: -4368*h**2 - 3*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 490558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 = -1986*i + 1929*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (33 - ((-20)\/(-12))\/((-12)\/(-72)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s + h - 638, 1152 = -3*s - 2*h - h + 1026 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165264573 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 14*x**2 - 56*x + 3. Calculate the remainder when f(-17) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*p + 163 - 172 + 20*p - 8*p in the form v*p + j and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(91) + -2*sqrt(91))\/sqrt(7).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k + 37*k**3 - 15 + 8 - 38*k**3 + 5*k**2. Calculate q(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(245) + 3 + sqrt(245) + 6*sqrt(35)\/sqrt(252).\nAnswer: 8 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45920579 by 31.\nAnswer: -1481309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118790*c**3 + 146*c**2 - 53481663*c - 2 wrt c.\nAnswer: 712740*c + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -585 (b) 1\/2 (c) 50 (d) 0.12 (e) 2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - z = 11*b - 3*z - 86, z - 42 = -4*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1503622 or 1503792?\nAnswer: 1503792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16226 is divided by 1093.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 3\/80?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 90 + 134. What is the derivative of -n*z**2 - 27*z**2 + 15*z + 14 + 53*z**2 wrt z?\nAnswer: -4*z + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*j**3 - 114551*j**2 - 11*j - 938813947?\nAnswer: 60*j**2 - 229102*j - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.544135 to 2 dps.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-272)\/(-24)))\/(35\/980).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7736?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1113, -4410, -9889, -17550, -27393, -39418?\n\"Answer: -1091*x**2 - 24*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*j - 9, 4*w - 12 + 48 = -3*j. Let s(k) = -k. Let l(x) = -9*x - 5. Let q(v) = l(v) - 2*s(v). Is q(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 177*c**3 + 19*c - 11. Let s(w) = 353*w**3 + 38*w - 24. Let k(a) = 7*h(a) - 3*s(a). What is the second derivative of k(p) wrt p?\nAnswer: 1080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.1 + 3. Let l = 4.1 + r. Let h = -1024\/9 - -114. What is the closest to h in l, 3\/7, -3\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987.2693559 + 31?\nAnswer: 1018.2693559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (17 + 1 + 6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-1 - 6) + 2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (6 - 2)) + (7 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, k: 1, x: 2, b: 4, p: 5}. Give prob of picking 2 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3+0.09195795077047\nAnswer: -2.90804204922953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3 - 5200*j**2 - 3*j + 22713 wrt j.\nAnswer: -6*j**2 - 10400*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 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: How many milliseconds are there in 251248.5us?\nAnswer: 251.2485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -485*l - 427*l + 484*l + 12840 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 3*i - 328 = 54*i + 288 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 3 = 9*h. Solve h*l + 6*l - 27 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 15, -i = -4*f - 4*i + 39. Let k be -1 + (0 - (-3 + f + 1)). Is (k - (-12663)\/(-7))*2\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9257 times 27?\nAnswer: -105.9939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111 a factor of 144795273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509782844?\nAnswer: 2, 19, 103, 65123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*s - 84*s - 5837 = 67*s - 3445 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -291827 times 3?\nAnswer: -875481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at least as big as -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36844112 is divided by 191.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27 = -i, 2 = 3*w + 3*i - 7. Solve w*t + 11 = 41 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*l - 63*l + 50*l**2 - 79*l.\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mee. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/2))\/o)\/o)**(2\/3)*(o**(2\/3))**(-3\/50)*(o**(-6)\/(o**(-2\/21)\/o))**31 assuming o is positive.\nAnswer: o**(-80021\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-17) - (-2)\/17)*3. Let x(a) = 5*a**2 + r + 6*a + 124*a**3 - 247*a**3 + 124*a**3. Calculate x(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*w**2 + 1 - 16*w**3 + 1 - 39*w**2 - 15*w**3 to u + r*w + z*w**2 + d*w**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -3. Let o = 1.1 + d. Suppose -823*r - 70 = -837*r. Which is the second smallest value? (a) 5\/2 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 27891*s - 111573. What is w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*t = 53*t + 180. Let b = t + -83. Calculate the highest common divisor of 56 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5221 * -642.\nAnswer: 3351882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -212\/39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*r - 7 = -2*r, -r = -z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -197280 divided by 274\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4\/9)*f)\/f**(2\/33) assuming f is positive.\nAnswer: f**(148\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 3007*i + 401285. Determine s(128).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 515421310735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 15. Let n be z(-7). What is the highest common factor of n and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19200 divided by 200.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 916915 * 4\nAnswer: 3667660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/26 + (-324)\/(-78). Suppose -3*p - 81 = -4*z, i*z - 3*p + p = 82. Calculate the greatest common divisor of z and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from eblebeeeeebelooooeo?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 - 1 = 3*a, 4*k = -3*a + 24. Determine r so that k*r**3 + 16 - 12*r**2 - 2*r**3 - 3*r**3 + 4*r**4 + 16*r - 6*r**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -864679 or -864680?\nAnswer: -864680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*f - 10*f. Is f < -3\/1315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000289704 to 7 dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**37*f**(-1)*f**(-1))**(1\/2) assuming f is positive.\nAnswer: f**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 3\/10, 55.7, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2519096551?\nAnswer: 19, 23, 5764523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 12*r**2 - 10*r + 28. Let i be q(10). Suppose 6*d + 8 = i. What is the remainder when 196 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-1\/3)*p)\/(p**9\/p))**(2\/115)\/((p**12\/p*p)\/(p\/(p\/(p*p**(-1\/18)*p*p))))**(-9) assuming p is positive.\nAnswer: p**(56171\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 3 - (70 - 96)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.53214 to one decimal place.\nAnswer: 44.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 1246 = 56. Let y = -44 - s. What is the remainder when 144 is divided by y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -36. Let w = -14.0000028 - s. Round w to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*s = 74*s - 82*s + 44124 + 3666 for s.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870182.6 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/23376 and -23\/487?\nAnswer: 23376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/9, 8\/11, 0.6, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4841*c**3 + 2424*c**3 + 3*c**2 + 4 + 2416*c**3 - 3*c. Calculate h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 413*h**3 + 9*h - 169*h**3.\nAnswer: -582*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let d(p) = 4*p - 1. What is -d(g) + 4*f(g)?\nAnswer: -8*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*g - 1 + (6 - 6 - 4)*(38*g - 16 + 16).\nAnswer: -150*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -22739, 1\/6, -2, 6\/53 in decreasing order.\nAnswer: 1\/6, 6\/53, -2, -22739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045 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: Solve -y - 20 = -9*y - 4*t, -1119*y + 1121*y = -2*t + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256071 is divided by 10824?\nAnswer: 7119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + h. What is the common denominator of 8\/10 - (-219)\/270 and h\/(-32)*-2*-71?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7 + -112)\/7035)\/((-1)\/6)\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70763\/232 or 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 401?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*k + 200 = 4*k, -4*k = 2*n + 82. Let p = n - 35. What is the common denominator of -58\/9 and 10\/15*p\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/275 and -46\/165?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-3)\/30*-5. Let d = 3 + -4. Let i = d - u. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/2997729215 + 57778832436267\/1540832816510. Let a = w - -2\/1285. Let v = -2570 + 51453\/20. What is the common denominator of a and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - i = -0*i - 7, 3*v - i = 5. Suppose -3*b = -9, -v*w - w + 11 = 5*b. Put -3, -5, w, 5 in descending order.\nAnswer: 5, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {r: 11, x: 2, w: 1}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/8 - 3\/12. Suppose 4*t = t + 6. Let r be 2 + 1 - t - 1. Solve -5*j + r = -w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (0 - 6) - 4) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i + 6 + 9*i + 13)*(-6 - 5*i + 6)*(7*i + 6*i - 22*i).\nAnswer: -45*i**3 + 855*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 3*w**2 - 4*w + 2. Calculate the smallest common multiple of p(-2) and 1 + 2\/(-2) - -16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47140, 47132, 47124, 47116?\nAnswer: 47108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -32*t**4\/9 - 352*t**3\/9 + 386*t**2\/9 + 22*t\/9 - 8\/3 = 0?\nAnswer: -12, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:28 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -967? (a) -1\/65 (b) 2\/13 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 times 2?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1662*i - 5215*i - 18153*i + 59*i to the form l*i + n and give l.\nAnswer: -24971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -4, 6\/29, 0, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (5 + (-1*sqrt(693)*-3)\/(((sqrt(99) + sqrt(99)*1 - sqrt(99)) + sqrt(99))\/sqrt(9)))*2).\nAnswer: -27*sqrt(7) - 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:52 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*l + 4 = 0, 3*s - s = -4*l - 10. Which is the closest to -0.03? (a) s (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 - 169*d**2 + 35 + 166*d**2 - 33 - 2*d**3 - 15 as w*d**2 + f*d**3 + o + c*d and give o.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 + -341\/3. What is the closest to 0 in 0, 1\/6, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u + 6*u - 9*u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/(2\/18). Let r be f*(1 - -1 - 3). Let q be 3 - 0 - 24\/(-6). Is q smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 25*k**4 + 243*k**3 - 1147*k**2 + 2632*k - 2352 = 0. Calculate k.\nAnswer: 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/3 + 58*s**2\/3 + 38*s - 24.\nAnswer: 2*(s + 3)*(s + 12)*(2*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*u**2 + 52*u**2 + 0*u**2 - 3*u**2 - 14 - 7.\nAnswer: -2*u**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + n = -24, -3*n = -0*n + 12. Is (2\/2)\/(q\/(-236)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444361 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 367, 127, -2, 0 in ascending order.\nAnswer: -2, 0, 127, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 491708 and 952.\nAnswer: 983416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.975 - -0.025. Let u = -0.1 + -0.2. Let j = 963\/5 - 192. What is the smallest value in u, j, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536064 is divided by 1314?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 2*b + 4070. Let d(h) = -291*h**2 - 12. Determine i(d(l)).\nAnswer: 84681*l**4 + 6402*l**2 + 4190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 740 - 297. What is the tens digit of (-18)\/(12\/6) + c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 46 = -54, 2*q + p - 48 = 0. Calculate the highest common divisor of q and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 3*a + 2. Let d be f(2). Let q = d - 7. Calculate the remainder when 9 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 7:44 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 662 + -659.33. Let u = -5.67 + l. Which is the closest to 0? (a) -0.24 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 3*y**7\/70 + y**6\/5 - 9*y**5\/20 - 3*y**4\/2 - 4*y**3\/5 + 90*y. Find p such that i(p) = 0.\nAnswer: -4, -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c - 12*c + 2*c in the form k + i*c and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*o - 12 = 0, o = 1 + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35956832711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*h**2 + 28 + 38*h**2 - 21*h**2 + 48*h**3 wrt h?\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -352\/519 - -2\/173. Let c be ((-16)\/24)\/((-1)\/(-6)). Let k = -271\/3 - -90. What is the nearest to g in k, 1\/4, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/3)\/((-28)\/(-6) - 4). Let r(i) = 1 + 0*i + 4 - i. Let h be r(0). Put h, z, 1 in descending order.\nAnswer: h, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 + 17*l**3 - 16 + (16 - 24263*l**2 + 4 + 24285*l**2)*(3 + 2*l - 3).\nAnswer: 61*l**3 + 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 9*o**2 - 3*o - 11. Let z be l(-9). Suppose -3*x - x = -z. Solve 4 = 3*n + x*u + 3, -2*n + 16 = -5*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - j + 1. Let g be v(0). Suppose -w - 4*b - 1 = g, -5*b = 10. Let n(h) = 2*h - 5. Calculate n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (-7 - (-7 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**5 + 2959913*k**4\/3 + 14141950*k**3\/3 + 20390788*k**2\/3 + 6577688*k\/3 - 877024 = 0.\nAnswer: -2, -1, 2\/9, 328884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5801 (b) 0.2 (c) 9 (d) -0.2 (e) -0.3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/2 - 337719*t**3 + 25330800*t**2 - 633285625*t + 10554890625\/2.\nAnswer: -(t - 25)**3*(t + 675513)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*j + 728 + 536 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3\/5))\/i**(-5)*(i**(-1)\/i)**(-2\/13)*(i\/(i\/((i**(-2\/7)\/i)\/i*i))*i**(6\/11))\/((i\/(i*i**(-4)))\/i**(-4)) assuming i is positive.\nAnswer: i**(-9172\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 2*t + 4, 0 = -4*w + 5*t + 22 - 29 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.8 + -8.9. Let k = 0.1 + v. Let o = -2264\/7 - -324. Which is the third smallest value? (a) k (b) 1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(29\/6))\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3353143 is divided by 2733.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*q + 3786 = 1369*q + 44733 + 878 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 1. Let f be b(-4). Let k = -31 - f. Calculate the smallest common multiple of 14 and k*(3\/6 + -1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/(34505\/42024*51).\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -11. Solve -8 = k*d - 0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/2*-1*-1. What is the third derivative of -g**b + 4*g**2 - 2*g**2 + 5*g**3 + 0*g**3 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**6\/6 - o**5\/5 - o**4\/2 + 2*o**3\/3 + o**2\/2 - o - 10. Factor z(w).\nAnswer: (w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0155 - -0.0645. Let q = -0.251 - b. Let n be (-4)\/(-10) + 32\/(-30). What is the second biggest value in n, -4, -3\/8, q?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -26*((-6)\/(-9) + (-10)\/6). Find the first derivative of -6*y - n*y**4 - 7*y - 32 + 12*y wrt y.\nAnswer: -104*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 - 195*q + 67*q + 57*q + 72*q.\nAnswer: -9*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -114, 2, 4, 0, 3 in descending order.\nAnswer: 4, 3, 2, 0, -22, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*z = -4757 + 2642 - 4923 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -24253000 to the nearest one hundred thousand.\nAnswer: -24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314311?\nAnswer: 257, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 20200121?\nAnswer: -20200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 101, 152, 205?\n\"Answer: q**2 + 46*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/3, 3\/4, 0.24, 0.13?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77, -37, -11, -5, -25, -77, -167?\n\"Answer: -x**3 - x**2 + 50*x - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6893.987 kilograms to nanograms.\nAnswer: 6893987000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -222648, -890635, -2003948, -3562587, -5566552, -8015843?\n\"Answer: -222663*b**2 + 2*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 + -3. Let r = -0.036 + -0.084. Let s = 134 + -138. Sort r, s, v.\nAnswer: s, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -466\/21 - 15\/7. Let z = j + 508\/21. Put z, -0.4, -1 in decreasing order.\nAnswer: z, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3022130 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -70 + 52 - -6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66.36 and 3?\nAnswer: 199.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 5*k**2 - 3*k. Let h(q) = 6*q**2. Let c be 4 + (-11 + 3 - -1). Let p(u) = c*h(u) + 4*z(u). Let j(w) = w. Give j(p(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 + 0*b**3 - 2*b**3 - 11 + 11 - 10*b**3 + (-2*b - 7*b**2 + 2*b)*(4 - 4 - b) to the form s*b**3 + z*b + v + c*b**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216473360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2478862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - s - 1 = -5*a, 0 = -4*s - 2*a - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 61, 78, 111, 166, 249, 366, 523?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27555 is divided by 501.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtt when three letters picked without replacement from {d: 9, t: 8, n: 1, g: 2}?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*z + 48 - 105. Let d = -970 + 70812\/73. Is z smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12633, -25267, -37889, -50493, -63073, -75623, -88137?\n\"Answer: i**3 - 12641*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17*p + 1663. What is the remainder when 475 is divided by c(-95)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 706448 and 1608?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -4. Let w(c) = c**3 + 6*c**2 - 12*c + 1. Let o be w(r). Let n = 27 + o. Do n and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*u + 36. Suppose -8*m - u = -10*m. Let d = m + 2. Calculate the least common multiple of d and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/1148817 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 150544.101 rounded to the nearest 1000?\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 127. Let u(v) = -5*v - 2 + v**g + 6*v + 3 - 2*v. Determine u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (3 + -1))\/1. Let w = -123\/295 + 1\/59. Is w less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.6 + -10. Sort o, 0.3, -8 in decreasing order.\nAnswer: 0.3, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 38*j + 158. Calculate p(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 486948 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 0. Suppose -i - 12 = p*i, i + 19 = r. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 75. Let t be a(46). Let x = 721 - t. Calculate the greatest common divisor of x and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c**2 - 2942*c**3 - 15*c + 3 - 2 + 2941*c**3. What is the units digit of q(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j**5\/3 - 17*j**4\/3 + 34*j**3\/3 + 13*j**2\/3 - 20*j\/3 + 4\/3 = 0. Calculate j.\nAnswer: -2, -1, 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z**3 - 8*z**2 - 7*z - 4. Let v(q) = -14*q**3 - 7*q**2 - 8*q - 5. Determine 5*k(u) - 4*v(u).\nAnswer: -4*u**3 - 12*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 21*b**2 - b - 2. Let y = 55 + -57. Is 18 a factor of o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c + 51. Determine p(-18).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826*r + 931*r - 3 - 11 + 29 + 28.\nAnswer: 105*r + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -11*(-8 - -1)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 2*l**2 + 2*l - 3. Give w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 975895, -6 in ascending order.\nAnswer: -6, 0, 4, 975895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o*q*r**2 + 37*o*q - 5*o*r**2 - 12*r**2 wrt q.\nAnswer: o*r**2 + 37*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1 (c) 79 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 15. Let g(k) = -5*k + 23. Let i(r) = 5*g(r) + 8*s(r). Let b be (-204)\/10 - (-6)\/(-10). Let l = b + 16. Calculate i(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -4*z**4\/3 + 15*z - 17. Let p(x) be the first derivative of k(x). Let s(o) = -2*o. What is p(s(a))?\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v = 4*n - 44, -4*n = 2*v - 36. Let q = 2 + v. What is the units digit of 15\/(-6)*(-196)\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8, 0 = 4*m - 2*h + 195 - 1351. Calculate the greatest common factor of 87 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 0) + -6)\/(5\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - -0.07. Let l = 23 - 29. Let z = -5 - l. What is the nearest to z in -4, j, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-30))\/13*6\/(-4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -314, 2, -7, 163.\nAnswer: -314, -7, 2, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*m**3\/3 + 1682*m**2\/3 + 9770*m\/3 + 18550\/3.\nAnswer: 2*(m + 5)**2*(47*m + 371)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197.8 - -660.9. Let n = m - 810. Let a = -51 + n. What is a rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3 = 2*r, d + 1 = 2*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -3\/4, 1.2, -147, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.6 + 38.8. Which is the closest to 19? (a) 0.05 (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115527849, 115527852, 115527857, 115527864, 115527873, 115527884?\nAnswer: 115527897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -1. Factor -v*f**3 - 2 + 49\/2*f**4 - 45\/2*f**2 + 14*f.\nAnswer: (f - 1)*(f + 1)*(7*f - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1278 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3. Let b be t(0). What is the second derivative of -19*c**2 + 17*c**3 + 201*c - 17*c**2 - 16*c**b wrt c?\nAnswer: 6*c - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/28)\/(-3) + (-87)\/315?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*q**2 + 2 + q - 108*q**4 + 20*q**2 + 113*q**4 to w*q + v*q**4 + g*q**2 + l + o*q**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010801 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-680)*8*(-5)\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 4, -11*w - 5*z = -6*w + 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-1 - 2*s + s - s) + 2*s - 2 + 2.\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2016.904143 to the nearest ten.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 74*f - 68*f - 6*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -13*w**3 + 4*w**2 + 22*w + 8. Let m(r) = -r**3 + r**2 + 6*r + 2. Let u(c) = j(c) - 4*m(c). Let n(v) = -8*v**3 - 3*v. Calculate 2*n(i) - 3*u(i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l = -8*l - 150 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*q + 23. Suppose u + 417 = 781. What is the tens digit of (-15)\/q*u\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303220953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3*n - 160 = 0. Let x = 42 + n. Suppose 1 = -3*s - 2*p + 13, x = -s + 4*p. Solve 5*u + s*h = -8, u - 2*h = 2*h + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 + 41*j + 2. Determine u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 - 70453*l**4 + 1240236636*l**3 + 23596421648*l**2 - 114224964032*l = 0. Calculate l.\nAnswer: -23, 0, 4, 35236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 27*z**2 + 26*z - 54. Let t be d(-28). Solve -1 = -t*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 4:06 AM?\nAnswer: 712","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/(-26)*-2*(-7)\/504*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbz when three letters picked without replacement from {b: 1, h: 1, s: 2, z: 2, w: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 8678?\nAnswer: 8677.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5520 and 119\/27600.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 + 73*j - 136. What is b(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -248, -1921, -6454, -15275, -29812, -51493, -81746, -121999?\n\"Answer: -238*g**3 - 2*g**2 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:59 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-95)\/380 + 21\/4. Suppose k*u - 2*y - 2289 = 0, 909 = 2*u - 7*y + 4*y. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50587*a**2*j**4 + 231*a**2*j**2 + 95429729*a**2 - 2*a wrt j.\nAnswer: -202348*a**2*j**3 + 462*a**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 732801 (base 10) in base 5?\nAnswer: 141422201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42636 divided by 42636?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4075 (base 11) in base 2?\nAnswer: -1010100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-2*v + 3*v - 3*v) + 266 + 5*v - 274 - 2*v.\nAnswer: 7*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*f**4 + 5*f**3 - 248*f?\nAnswer: -108*f**2 + 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-15)\/(-24)*(-30)\/90\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24471.\nAnswer: 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10368 (base 12) to base 14\nAnswer: -7a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321115388.\nAnswer: 2, 11, 7298077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1213 + -1358. Put a, 3, 1, -2 in ascending order.\nAnswer: a, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1685, -2\/5, -2\/687, 1\/4, 3 in ascending order.\nAnswer: -2\/5, -2\/687, 0.1685, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1021*p - 580. Is j(5) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 7*h**2 + 8*h - 12. What are the prime factors of j(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 750, 1125?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(1\/21) assuming t is positive.\nAnswer: t**(-2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -47?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 8*k - 2. Calculate v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 6 - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6341*i = -6294*i + 893 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10343 is divided by 3066?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 x, and 1 o when three letters picked without replacement from bbxbo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4576 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 + 4.2. Which is the closest to s? (a) 2 (b) -0.2 (c) 15 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -6. Suppose -6*f - 8 = 2*n - 3*f, -a*f = 20. Let g = -10 + 13. Solve -l - 10 = 3*r, -g*l - r + n*r = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:32 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 5*d + d + (-2*d - 2*d + 3*d)*(-6437 - 611 + 998) - 4*d + 2*d + 4*d as t*d + i and give t.\nAnswer: 6054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 440845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*2\/(-5)*590\/1062\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5164 + 1799 - 44*o + 12*o.\nAnswer: -32*o - 3365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhl when three letters picked without replacement from {h: 4, f: 7, l: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/287 + 1153\/1435. Put -4\/9, -12, u in descending order.\nAnswer: u, -4\/9, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (-3 - (11 + -7))) + -22.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130868 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -0.2 (c) 3\/2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 21, 56, 125, 240, 413, 656?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 17 + 0 - 25)*(3*h - 2*h + 2*h).\nAnswer: -171*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, -13, 112, 80 in descending order.\nAnswer: 112, 80, 19, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1220?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l - 10. Let o(q) = -9*q + 15. Determine -5*o(b) - 8*r(b).\nAnswer: -3*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*t - 38 = -12, -y - 11 = 5*t. Let o(c) = 6*c**2 - 2. What are the prime factors of o(y)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 97747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 13. Let p(r) = -r - 8. Let c be p(-3). Let i be g(c). Solve -7*k = -i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/20 and 27 - 29 - ((-98)\/45)\/1?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/2*(-108)\/45. Calculate the greatest common divisor of 40 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*z - 5*k - 56, -4*z - 65 = 3*k. Let c be 6\/(-4) + (-30)\/z. Let p = 6 + -12. Put c, p, -4 in descending order.\nAnswer: c, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-158)\/158)\/((-2)\/20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8 (b) -3 (c) 1.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + i - 5. Let d be x(11). Suppose -b = -3*b + 2*s + d, -4*b = 4*s - 496. Suppose -3*w - b = -7*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1283 + -16681\/13. Which is the second biggest value? (a) d (b) 5\/2 (c) 2.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 21.9. Let s = u + -3. Suppose 13 = 9*h - 4*h + 3*i, 8 = 4*h + 3*i. Put s, -2, h in descending order.\nAnswer: h, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 4419353120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4193*b**3*u**3 + 380*b**3*u**2 - b**3*u - 4*b**3 - 37*b**2*u**4 - b*u**2 - u wrt u?\nAnswer: -25158*b**3 - 888*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h. Let k(n) = n**2 - 3. Calculate k(g(x)).\nAnswer: 16*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 1 + 394*y**2 + 4*y + 0*y + y.\nAnswer: 394*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 8*p = 3*p - 12, -1156*p = 42*k - 1155*p + 295 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 36. Suppose -b*w + 14 = 5*w. Determine v, given that 3*v + 1\/4*v**4 + 3\/2*v**3 + w + 13\/4*v**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l + 50. Let f = l + 16. Solve 4 = -5*u - f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2311986600 to the nearest one million.\nAnswer: -2312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 3*l)*(3*l + 2*l - 3*l) - 7*l**2 - 15*l**2 + 14*l**2 + 3*l**2 - 3*l**2 - 2*l**2 + (-2 + 2 + 2*l)*(-2 + 2 + 2*l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*r**2*v**2 + 4*g*r**2*v + 34*g*r**2 - 26*g*v**2 + 27288*r**2*v**2 + 252*v wrt v.\nAnswer: 4*g*r**2 - 52*g + 54576*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3\/4)\/r)\/(r*(r*(r**16\/r)\/r)\/r))\/((r**(4\/5)*r)\/(r*r*r\/r**(-14))))**34 assuming r is positive.\nAnswer: r**(-527\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4713\/7 - -673. Sort -5, 2\/7, 0.08, x.\nAnswer: -5, x, 0.08, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295 + 9*i - 285 + 580.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by (183\/244)\/(3\/(2*42)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.02, -0.18, -49?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*p = -2 + 5, -5*p + 15 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-197 + 184 - (-7 + -1 + 2)) + -14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = o + 129 - 56 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 2, -9\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*l + 350*l + 175*l + 189*l.\nAnswer: 889*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2194 = -2*k + 2199, 10*k - 4*s = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-1)\/4) - (-4 + 0). Solve -4*l - 17 = -i + 2*i, 3*i + 5*l + 30 = f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7061 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26622289 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 3*n + 5. Find the common denominator of n\/11*(-2)\/(-4) and (-129)\/(-36)*(-30)\/(-20).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + (-3*(sqrt(95) - sqrt(95)*1) - sqrt(95)) - sqrt(95)) - sqrt(95))\/(sqrt(80)*4).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5426689 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/18 + 0 - 68\/(-18). Suppose 3*a + x + 6 = 15, 4*x - 4 = -w*a. Differentiate -3 + 75*k - 61*k - a with respect to k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-153000)\/(-12 + -3) - -11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2879*g - 118019. Determine f(-41).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose l = o - 0*o. Suppose -j - 9 = -g, 6*j = -2*g + o*j + 30. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -151*n - 371. Give g(-2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - 8. Let v = 527 + -518. Determine f(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 978*q + 770532 = 833124 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {n: 5, s: 3, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d - 7*d = 0. Suppose 5*c - c - 68 = d. Calculate the remainder when c is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 15*r**5 + 18633*r**4 + 28885077*r**3\/5 - 29817477*r**2\/5 - 259971768*r\/5 + 260810928\/5 = 0?\nAnswer: -3108\/5, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17*1\/(-340))\/(1\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/9)\/((-4)\/(-10524) - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(11\/((-110)\/25)) - -18. Sort -0.1, q, 3, -3 in decreasing order.\nAnswer: q, 3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 4*s**2 + 4*s. Let j(z) be the second derivative of z**5\/5 + z**4\/4 - z**3\/2 - z - 1. Give 4*j(u) + 3*n(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/((-39)\/(-8)))\/(2\/111). Let d = -55 - z. Let a = 99 - d. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/12 - 2*j**3\/3 - 29*j. Factor y(r).\nAnswer: r*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72177 is divided by 1604.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270592856?\nAnswer: 2, 353, 95819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 15. Let a be 2*-29*m\/(-6). Round a to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 4560?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -477\/2860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3979738 and 18.\nAnswer: 35817642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6592 + 6576.43. Round t to one decimal place.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157.29*-0.0422.\nAnswer: 6.637638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 2*y - 69. Calculate v(7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((2\/(-5))\/((-28)\/(-105)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -116 (b) -1 (c) 2\/21 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - -201?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + r - 25 = -3*r, t - 3*r = -10. Let j(a) = 10*a**2 + a + 1. What is the tens digit of j(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132859 is divided by 224.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d - 22. Let b be s(5). Suppose 0 = -l - 2*q + 4, 2*l - 4*q + 11 - 3 = 0. Let h = b + l. Solve 2*i = -2 - h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0549? (a) -1 (b) 0.1 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/620 and 59\/620.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610 (base 8) in base 6?\nAnswer: -4104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (22 - 8240\/165).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 14*g**2 + g + 20. What is q(14)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405 divided by 352119.\nAnswer: 135\/117373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (102\/357)\/(8307\/(-637) + 13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -2976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a79803 (base 12) in base 3?\nAnswer: 121020001100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 490 from -16775078107.\nAnswer: -16775078597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400 is divided by 348.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 7*r**2 - 11*r + 11*r - 12*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44407 + 220?\nAnswer: 44627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 119, 4, 3, -9, 0 in descending order.\nAnswer: 119, 4, 3, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 2. Let y be g(8). Let z(k) = y*k - 5*k + k. Calculate the smallest common multiple of 2 and z(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990256 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (6 - 0 - 2) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.29 - -6\nAnswer: 8.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-12)\/(-78) - 4*(-6)\/(-8)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = n. Suppose 2*g - 3*j + n*j = 52, 4*g - 2*j = 56. Calculate the greatest common divisor of g and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -49787*o - 1443837. Calculate d(-29).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 0*i**2 + 0*i**2 - 19*i**4 - 3 + 3 - i**4 + 0 + 0 + (-i - i**2 + i)*(0*i**2 + 3*i**2 - i**2).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s**3 + 2*s**2 + 2*s - 3. Let h be d(2). Let b = 157 - h. Suppose q = -3*q - 16, 3*l - 4*q - b = 0. Solve 0*f + 4*f + l = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {w: 1, k: 5, y: 7, z: 3, c: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - ((-6 - 81) + 32 + 34).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 27*r - 255. Let h(v) = -v**3 - v**2 - 15*v - 1. Calculate 2*h(m) + q(m).\nAnswer: -2*m**3 + 2*m**2 - 3*m - 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-105)\/25 + 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.8, 5574, 0.2 in decreasing order.\nAnswer: 5574, 5.8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2839447*h**3 + 43*h - 677764832.\nAnswer: -8518341*h**2 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*d**3 - d**2 - 4078*d + 4044*d + d**2 - 162*d**3.\nAnswer: -114*d**3 - 34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -2. Let n = -56 + 51. Which is the third biggest value? (a) g (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 + 723 = 65*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o**2 - 3*o)*(1 - 6 + 8)*(-1 + 0 - 1)*(-1 + 0 + 0).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*p**5 - 17*p**4 - 94557*p wrt p?\nAnswer: -2060*p**3 - 204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 1. Let u(n) = -33*n**2 - 2. Determine -2*o(p) + u(p).\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.3 (b) 5 (c) 225 (d) -0.03 (e) 12.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 364, 499, 632, 763, 892?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-81))\/(12\/(-108)))\/((-2)\/(-12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 169*s + 2565. List the prime factors of g(35).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k - j = 1, -2*j = -3*k + 2. Is k smaller than -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**40)**(1\/13)*o**(-17)\/(((o\/(o\/o**(-46)))\/o)\/o))**3 assuming o is positive.\nAnswer: o**(1329\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:29 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22 + -4*((-92)\/16 - -5). What is the first derivative of 214 - 122*b**2 - 326 + v*b**2 wrt b?\nAnswer: -194*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 + 116*q - 116*q)*(1 + 0 - 2 + (3 + 4 - 6)*(-3 - 2 + 3) + 1 + 1 + 0).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**(-1\/5)*w*w**8*w*w*(w**(-1)\/w)**(1\/2) assuming w is positive.\nAnswer: w**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -679, -515, -241, 143?\n\"Answer: 55*b**2 - b - 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 3, b: 2, h: 1, m: 5, e: 1}. Give prob of picking 1 v, 1 l, and 1 b.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o + 5. Let v(d) = -8*d - 2. Let w(f) = 2*r(f) + 5*v(f). What is w(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -54\/61, -0.082715 in descending order.\nAnswer: 1\/5, -0.082715, -54\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25\/8 - 309\/104. Suppose j + 20 = -4*j. Let n be ((-2)\/(-10))\/(6\/(-15)). Which is the fourth smallest value? (a) n (b) j (c) 0.1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*220\/1100*14*2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 - 19*u + 2. Calculate q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 3*o**2 - 10*o - 3. Suppose 0 = -5*w - 0*w + 255. Let x = -44 + w. What are the prime factors of y(x)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23628 divided by -358.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8188 divided by -8188\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151\/36 - -49\/12. Let b = -3 + 0. What is the third smallest value in b, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(3*w + 0*w - 4*w) + 3*w + 0*w - 2*w + (11*w + 3*w - w)*(0 - 1 - 1).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 785437271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/12 - 3*q**3\/2 - 4*q**2 - 2*q + 26. Give d(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(9\/18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 286*n**3 + 3832*n**2 + 16370*n + 22425.\nAnswer: -(n - 299)*(n + 3)*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40626 is divided by 13305?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -9, -3\/8, 1, 0, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110880)\/(-4480)*(-8)\/(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70)\/(-595) - ((-55858)\/34 - 2) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6416556?\nAnswer: 2, 3, 199, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/64363880 and -61\/9194840?\nAnswer: 64363880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38423079.\nAnswer: 3, 474359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*t = 4*y + 12, t = -2*y - 3. Solve y*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 90 = 3*s, 5*s - 3*x + 7*x - 150 = 0. Let v = s + -28. Let n = 167 - 1167\/7. Which is greater: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 1. Let t = 910 - 852. Let w be (87\/t)\/((-2)\/(-4)). Give r(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.2*-99.\nAnswer: 1405.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*u**4\/6 - 92995*u**3\/3 + 58821551*u**2\/2 + 25214930*u\/3 + 1801202\/3 = 0. Calculate u.\nAnswer: -1\/7, 1898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -4, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (18 + 0 + -15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 9 - 24)*(-3 + 3 - 2*x) + (2*x + 2*x - 2*x)*(1 + 2 - 5) + 2 - 2 - x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 6:31 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Let 9*b + 7*b**2 + 10*b**4 - 13*b**4 - b**r - 3 - 9*b = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 44 = -96, -2*c = -2*n + 26 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17689763 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mck when three letters picked without replacement from mllczccymlzllccck.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 3687, -4\/3, 311?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**6\/80 - 2*w**4\/3 - 4*w. Let f(t) be the third derivative of z(t). Let m(a) = 2*a**2. Determine f(m(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*f + 278 + 47 = 0. Solve -21*i = f - 173 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -7.12.\nAnswer: -2.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11*k + 7. Let r(g) = -10*g - 6. Let z(c) = 5*h(c) + 6*r(c). What is the units digit of z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150614 (base 7) to base 11.\nAnswer: -1a970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15873 = 753*k + 39849 for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -4\/237 (c) -1\/3 (d) 2\/5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:04 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - 88. Let n = -9 + 17. Suppose n*w = 4*w + 136. What is the remainder when w is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21\/715 - 376237\/5005. Let p = n - -75. Let r be (-9)\/15 - (-34)\/40. Sort p, 4, r.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p - 1. Let h(i) = i**3 - 7*i**2 + 12*i + 6. Calculate h(t) + 6*w(t).\nAnswer: t**3 - t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 3*l - 11 = -4*d, -3430*d = -3435*d + 31*l - 150 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 24506371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/3)\/(c**(2\/33)\/c))\/(c**15)**(2\/7) assuming c is positive.\nAnswer: c**(-388\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 4*r - 66. Let i(k) = -13*k**2 - 17*k + 265. Give 2*i(q) + 9*t(q).\nAnswer: q**2 + 2*q - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 87*v - 17*v)*(-4 + 2 + 4).\nAnswer: 138*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-8) - 1)\/(51\/(-544)). Let w(o) = 2*o**2 + 32*o - 8. What is w(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156309 is divided by 94.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21148802 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 - 9*t**2 - 5*t - 2. Let a be g(-3). Let k(f) = -10 - 15 - 6 + f + a - 11. Calculate k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:01 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 4*x**2 + 5*x - 1. What are the prime factors of v(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 2*u**3 - 3*u**3 + (8*u**3 - u**3 + 10*u**3)*(2 + 1 - 2) to b*u + w*u**2 + d*u**3 + z and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1575))\/((-1*sqrt(36))\/sqrt(4))*4.\nAnswer: -100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -902421657 by 661.\nAnswer: -1365237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 4:39 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2241536 is divided by 373588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:01 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h**2 + 102*h + 2. Let q be d(-8). What is the highest common divisor of 846 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4 + 19. Sort -2, -4, j.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/6)\/(2\/(-4)). Suppose -4*y + y - x = 0. Let h be 1 + ((-1)\/3)\/1. Is h equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*l - 3 - 3, -3*l - a + 9 = 0. Let m be 2\/(-9) - (-32)\/(-18). Is m bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88913021 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, x: 1, y: 3, b: 6, k: 1, r: 3}. What is prob of picking 2 r and 2 y?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 388 + -418. Let w be (k\/4 - -9)\/(2\/(-4)). Sort 5, -124, w in descending order.\nAnswer: 5, w, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-3))\/(-10)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*h + 26 - 41 + 15.\nAnswer: 1717*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/37 and -49\/11.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llff when four letters picked without replacement from {f: 13, l: 6}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-3)\/(-2))*-4. Suppose -h = -5*h. Sort h, r, 5 in descending order.\nAnswer: 5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z + 7130 - 7*z - z.\nAnswer: -z + 7130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-621)\/6555)\/(4\/(40\/(-3)))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738338?\nAnswer: 2, 369169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 311 or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Let u(y) = y**2 + 9*y - 14. Let i be u(-11). Solve 0*l - r*q + 8 = l, -4*q = 5*l + i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.3 (b) 20 (c) -4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28514 divided by -2991\nAnswer: -28514\/2991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 323.143 and -451526.\nAnswer: -451202.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - -11011011101?\nAnswer: 11011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6625794853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -1.3 (c) 2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5234 is divided by 5232.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 62. Suppose 0 = -4*o + 3*m - 7058, -5*m + 8*m - 3532 = h*o. Let v = o + 35249\/20. What is the common denominator of -13\/22 and v?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + l - 0*l - 41, 4 = 4*l. What is the least common multiple of 14 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.99 + 1.01. Which is the closest to 2\/7? (a) 2\/7 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/7, 1\/3, -0.03 in descending order.\nAnswer: 1\/3, -0.03, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -302*i**2*y**2 + 33*i**2*y + 203*i*y + 38149237*y**2 wrt i?\nAnswer: -604*i*y**2 + 66*i*y + 203*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4922490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6644371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 9. Let i be d(-7). Let y(x) = -20*x - 5. Suppose -8 - 26 = 2*s. Let t(b) = 7*b + 2. Let j(p) = s*t(p) - 6*y(p). Give j(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from {u: 1, s: 2, t: 5, f: 3, v: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9, -5*i + 79 = 3*z + 22. Suppose z*u = 6*u + 1448. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 320 - 324.03. Let p = a - -4. What is p rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19213960 to the power of 1\/2, to the nearest integer?\nAnswer: 4383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198037 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = x + y + 1, -37 = -5*x - 3*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (1 + sqrt(468) - sqrt(13))**2) + 3 - (sqrt(1053)*2*-6)**2.\nAnswer: -151955 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2138, -8553, -19236, -34187, -53406, -76893?\nAnswer: -104648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 - 0.1. Let v = 0.04 - n. Let p = 0.01 + v. Put -0.1, p, 0.3 in decreasing order.\nAnswer: 0.3, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236 is divided by 170?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + f - f + 6*f - 4*f + 58.\nAnswer: 2*f + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23312 + 1205 = -3161*l + 7114 + 94058 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l + 6 - 9)*(12*l**2 - 12*l**2 + 4*l**3).\nAnswer: -4*l**4 - 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:06 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 7 = -3*i - 5*r, 0 = -4*r + 8. Is i >= -1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 2456 - 2575 = 0 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/10 - (-87)\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3424*b**3 - 10 + 3*b**2 + 2*b**2 - 4*b**2.\nAnswer: -3424*b**3 + b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/((-68)\/952)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313811641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 + 99.4. Let h = y + -74.4. What is h rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**1\/h))\/h**0*h**(3\/5)\/h**(-1\/5)*h**(-2\/5)\/(h**(-3\/5)\/h)*h\/h**(2\/9)*h**(-4)*h assuming h is positive.\nAnswer: h**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.156*-0.1.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199411192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 6*a**2 + 10*a - 30. Determine j(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 25122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/11 - (-293384)\/65065?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p**3 - 4*p**2 + 41*p - 38. What is d(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Let m(t) = 513*t**2 - t. Determine m(v(c)).\nAnswer: 2052*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txslbty. Give prob of picking 1 t, 1 b, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12) - (-61 - 12712\/(-224))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/6, -3, -2979, 5 in descending order.\nAnswer: 5, 0.4, 1\/6, -3, -2979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71.237 - -0.237. Is 0 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 27 = -33. Let v be 4\/(-10) - (-2)\/t. Let x = -5 - -9. What is the nearest to -0.1 in x, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 937072 divided by 234268\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = -3*p, 0 = 4*p - 3*o + 10. Let x(d) be the second derivative of -3*d**4\/4 + d**3\/6 + d**2\/2 + d. Give x(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -21)\/((-8)\/44). Let s(n) = -110 + m - 3*n. Let j(l) = 18*l. Calculate s(j(f)).\nAnswer: -54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157382, 157379, 157376?\nAnswer: 157373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 0.5. Let x = -2 - -3. Let b = x + 2. What is the biggest value in u, b, 0.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:22 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 152175?\nAnswer: 152167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from quffqufrurfqfluuf.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11262*p + 101352. Give f(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 32*o**3 - o - 40*o**3 + 19*o**3 - 2 in the form v*o**4 + a*o + h*o**3 + r*o**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/14)\/((-5)\/(-210)). Is 13 a factor of (-5448)\/(-28) + (h\/(-14) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -22*b + 18*b - 3*n, 8*b - 3*n - 657 = 0. Calculate the remainder when b is divided by -2*1*(-87)\/6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8919, 17836, 26753?\nAnswer: 35670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*j = -206*j - 91. Solve -2*x + j = 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 784 and 6566.\nAnswer: 52528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*p - 17 = -0, p - 1 = 0. Suppose 3*q - 18633 - 1790 = -2*t, -3*q + s*t = -20399. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1336*s*v**2 - 4*s*v - 199*s - 14*v**2 + 3*v - 5 wrt v?\nAnswer: 2672*s - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 15*a - 9. Let y be b(17). Solve -5*z - y = -5*u - 0*z, 3*u + 4*z + 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7259 and 488.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 652, 650, 648, 646, 644, 642?\n\"Answer: -2*r + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/3? (a) -0.278 (b) 3 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 - 2*v**3 - 2*v**3 + (-9*v**2 + 8*v + v - 10*v)*(-14 + 14 - 8*v) - 49*v**3 - 109*v**3 - v**3.\nAnswer: -86*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 7\/2*d**2 - 7\/6*d**4 + 4\/3*d + 1\/3*d**3 - 2\/3 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72392 minus -0.09350252?\nAnswer: 72392.09350252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -37, -9, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**3)\/t**6)**(2\/49) assuming t is positive.\nAnswer: t**(-4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185\/448 + -1\/64. Let g = 40.2 + -40. What is the nearest to -2\/3 in 0, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*y - 11742 = 0, 3*o - 8147 - 9466 = y. Calculate the greatest common divisor of o and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 1112499?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhkkkddkd. Give prob of sequence dh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 5*v + 3. Suppose -4*c + 5*c = 2*t - 11, t - 23 = 4*c. Determine p(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -7*j**4\/12 + 17*j**2\/2 + 3*j. What is the derivative of a(b) wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30564548, -30564518, -30564438, -30564284, -30564032?\nAnswer: -30563658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**3 - o**2 - 2*o + 1. Suppose 16 = 10*d + 36. What is a(d)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -1032, -1460, -1814, -2088, -2276, -2372, -2370?\nAnswer: -2264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 19 = v - 3*h, 4*v - 3*h = 292. Suppose 2*z = 4*d - 156, 4*d + 3*z - 156 = -z. Calculate the remainder when v is divided by d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -17, -2, 2, -0.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*x - 131*x + 30. Calculate the highest common divisor of 21 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 8. Let h be n(-3). Solve -1 = -r + h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(25\/(-10)) + 20. Let l = a - -20. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221543 divided by -401?\nAnswer: -1221543\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*j = -2, 3*j + 6 = -0. Solve -4*w + 8 = -7*w - u*c, 7 = -w - 5*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*i**5*x - 52*i**4*x - 28475*i*x wrt i?\nAnswer: -2700*i**3*x - 624*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**4 - 2697*g**3 - 1350*g**2.\nAnswer: 3*g**2*(g - 450)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -2. Let o = -1.3 + 1.2. Put o, -0.4, y in ascending order.\nAnswer: -0.4, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*m + 86 + 2398, 2*r = -2*m + 996. What is the least common multiple of 434 and r?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 776068.7 millilitres?\nAnswer: 776.0687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1282926011, -1282926006, -1282925999, -1282925990, -1282925979, -1282925966?\nAnswer: -1282925951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1422 - 789. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 119?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14379*b. Let r(k) = 40*k. Let l(p) = 34*p. Let n(s) = -7*l(s) + 6*r(s). Determine n(g(f)).\nAnswer: -28758*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 587414.1 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwl when three letters picked without replacement from lhchihhlwllwlhcllhh?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1966?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 3, b: 3, g: 11}. Give prob of sequence oog.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-33)*(44\/16 - 3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 86*i - 4. Let t be d(2). Suppose f + t = 2*f. Suppose 11*m = 4*m + f. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 10 = -5*w + 2*b, -3*w - 15 = -3*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8815 and 16.\nAnswer: -141040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31238792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i**3*w*z + 2*i**3*z + 60908*i**3 + 21257*i**2*w*z wrt w.\nAnswer: -4*i**3*z + 21257*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (53 - (-46 - -110)) + (-9 - (2 + -3))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*o)*(1136*o - 279*o - 489*o) + (-o + 5 + 2 + 3*o)*(o - 2*o - o).\nAnswer: 732*o**2 - 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571779 divided by -63531.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1133453 rounded to four decimal places?\nAnswer: -0.1133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/(-30)*1 + 1. Let b = 2.819 + 2.181. Let p = 38 - 37.8. Sort b, p, c, 3 in decreasing order.\nAnswer: b, 3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 82*l**2 + 252*l + 245. Let z be w(85). Let o(m) = 4*m**2 + 40*m + 2. What is o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*3 - sqrt(77))*5)\/(sqrt(7)*-2*3).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-970)\/(-1940))\/((-3)\/9*4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9468597353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 5. Let q(i) = 5*i - 45. Let c = -95 + 104. Let n be q(c). What is g(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 32 = -18. Let b = 14 + u. Suppose 0 = 5*v + b*s - 17, -1 = 2*v - v + 3*s. Solve v*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 7*o - 10, -2*o + 570 = 5*j. Suppose 148 = 4*w + j. Solve w = 2*s + 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 29*c + 199. Let y be r(-11). Calculate the highest common factor of 81 and y.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -70, -66, -62?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -29*o**7\/42 - 7*o**4\/6 + 18*o. Find the third derivative of g(f) wrt f.\nAnswer: -1740*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(153) + -2 + ((sqrt(119)\/sqrt(252))**2 - sqrt(17))*3.\nAnswer: 41\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 954404141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-5 - -6) + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 319\nAnswer: 5\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 - 0 - -3. Suppose -c - 2*r + n = -7, 0 = -4*r + 12. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 16 + 0 = 0. Let k(v) = 2*v - 5. Let g be k(y). Is g\/((-6)\/4)*-23 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 40029124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10175 and 2368.\nAnswer: 651200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(2*y - 2*y**3 - 2*y) - 2*y**3 - 6*y**3 - 33*y**3 + 5 - 5 - 2*y**3.\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*o - 537 + 62*o + 537 + 55*o - 333*o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 15*r - 75 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363559*v + 9583*v + 1840*v + 108895*v.\nAnswer: 483877*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - -15. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*f - f. Let j(v) = 8*v**f - 7*v**2 - 6*v**2. Let u(p) = 3*p. What is j(u(i))?\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 + 65749*c**4 + 278442901*c**3 + 67366821736*c**2 + 83843158180*c + 16754713600 = 0.\nAnswer: -8090, -256, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/39488 and -25\/274086208.\nAnswer: 274086208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229071 is divided by 412.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90081*-830.\nAnswer: -74767230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -f, 4*f + 4*x + 3*x = 9*x - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 6. Let y = c - -1. Suppose 0 = -u + 4*u - y*w + 3, -25 = -5*u - w. Calculate the lowest common multiple of u and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.12 (b) -2\/13 (c) 0.7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 + 6*u**3 + 8*u**3 + u**3 - 6*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 19 = 4*h - 2*c, -3*h + c = 6. Let m(s) = 149*s**2 - 5*s - 1. Let k(u) = -299*u**2 + 11*u + 2. Let f(x) = 4*k(x) + 9*m(x). Is f(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10012300 (base 4) to base 9.\nAnswer: -25054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.6, -0.01, 125\/6, 1.\nAnswer: -3, -0.01, 1, 1.6, 125\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hclhzzp. Give prob of picking 1 p and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22081 - 22079. Let i(c) = -3*c - 13. Let n be i(-5). Solve -k + y*k = -p - 1, -5*p - n*k = 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 537944 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 2*y**2 + 0*y**2 + (-y + 3*y - y)*(-y - 3 + 3) - 42*y**2 + 40*y**2 - 22*y - 5 + 23*y.\nAnswer: -y**2 + y - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**4 - 2*n**2 + 2*n**2)*(22 - 21 + 35) + 149 + 3*n**4 - 7*n**4 + 3*n**4 as c + v*n**2 + i*n**3 + o*n**4 + m*n and give c.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6046.273 decades in years?\nAnswer: 60462.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdddtrrtddtxtdrtd. What is prob of picking 2 r, 1 d, and 1 t?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109415 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68325 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.994 and -0.02.\nAnswer: 0.03988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 44407 = -i, -5*g - 24317 = -i + 20072. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -105.6. Let d = -21 + m. Let g = 0.3 + 0.1. What is the nearest to 2\/5 in g, -5, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8337799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/21*1 - 1. Let x(o) be the first derivative of 0*o**2 + 0*o + 0*o**6 + 0*o**4 + o**3 + 0*o**5 - 2 - v*o**7. Find the third derivative of x(q) wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.23 - -0.05.\nAnswer: 27.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 - 3 + 4 - 6*w**2. Suppose 19 = 3*y + 5*j, -2*j + 1 = -y - 0*j. Suppose 5*h - 2*x - 6 = -y*x, 3 = 2*h + x. Calculate d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)\/l*l)**(-11\/4)\/(l\/l**(-1\/23)*l\/l**(-14)) assuming l is positive.\nAnswer: l**(-2836\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w + 7*w + w**2 - 4*w**2 + 4*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 6*n**2 - 4*n + 7. Let i be u(-5). Let l be i\/(-12) + 55\/6. Let t = l - 6. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (238\/(-153))\/(99\/891)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -2 (c) -4 (d) 2 (e) 69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40344 = 204*o - 31872. Calculate the remainder when 1203 is divided by o.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = z + 34. Round z to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = 0. Suppose 0 = -m - m. Suppose -5*x + m*x + 35 = z. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 0.4. Let h = r + 0.2. Let v = 0.68 - 5.68. Which is the nearest to h? (a) v (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:14 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyey when four letters picked without replacement from {e: 8, v: 3, y: 7}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1194, 1695, 3052, 5691, 10038?\nAnswer: 16519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 7*t)*(4 - 1 - 4) - 5*t + t + 2*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 12 = -14*u + 4*r, r = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, -1\/5, -1, -0.4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48729048 by 87.\nAnswer: 560104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -7*q + 3*q - 9, -5*r = -2*q + 1. Let j(x) = 36*x**2 - x - 1. Let k be j(r). Let o = -110\/3 + k. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m - 1. Let z be g(-1). Suppose -o - 2 + z = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h = 5, 0 = -5*x - 3*h + 10. Suppose -4*p + 80 = -0*p + 2*b, 4*b - 8 = 0. What is the remainder when p is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070199 is divided by 3006?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.62 (b) -0.01 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21300*m + 21220*m + 945972 + 812668 = 0. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 7 = 4*l + 2*d, 0 = d - 1. Factor -3\/2*r + 0*r**l + 0 + 9\/4*r**2 - 3\/4*r**4.\nAnswer: -3*r*(r - 1)**2*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -645760, -1291508, -1937256?\n\"Answer: -645748*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51326348*n**2*y - 1058*n*y - 36*n + y - 2 wrt n?\nAnswer: -102652696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 9.1. Let s = o - -7.2. Which is the second smallest value? (a) s (b) -1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17412696 - 0.05?\nAnswer: 0.12412696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*c - 5*y + 56, y - 3 = 0. Sort 4, -3, c, -5 in descending order.\nAnswer: c, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -166644?\nAnswer: -166653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 348850 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 4 + 5*x - 8*x - 3. Determine y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - v + 10, -5*v + 6 = 3*q - 0*v. Solve -5*a + 6 = -q*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3743*j - 1657*j = 1057*j + 4387*j + 1095244 for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.232057988 and -1.45505.\nAnswer: -1.222992012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.36491 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -26*k**2 - 3*k + 4. Let t(x) = -5*x**2. Give -i(w) + 5*t(w).\nAnswer: w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*u + 98, 4*u - 6*u = -2*y + 40. Let q be 5\/(-20) + y\/(-8). Let z be 1\/4*q\/(-1). What is the second smallest value in -4, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 7*f**5\/12 - 35*f**3\/6 + 32*f**2. Differentiate d(z) wrt z.\nAnswer: 70*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1359)\/6*((-52)\/(-12) + -3). Let p = t - -1519\/5. Solve 3\/5*m**4 + 6\/5*m**5 + 3\/5*m - 3\/5*m**2 + 0 - p*m**3 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -327 - -326. Suppose 5*s + 2*n = -38, 0 = -s + 2*n - 5*n - 5. Let i be (-12)\/6 + s\/(-5). Which is the closest to i? (a) v (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 13. Let a = 15 - 19. Let s be b(a). Let h(i) = 66*i + 1. Calculate the remainder when h(s) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:18 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -12, -4, -192, -5 in decreasing order.\nAnswer: 5, 2, -4, -5, -12, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3*z - 2, 3*i - 4*i - 2*z - 3 = 0. Suppose 10 = -3*t + i. Let y = 1.8 + -2. What is the third biggest value in y, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/73 - 617\/292. What is the common denominator of -47\/18 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**2\/3 - 45*v - 354 = 0 for v.\nAnswer: -6, 177\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 3089.4?\nAnswer: 1544.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-315)*-36)\/(26\/14)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let x(f) = -112*f**2 + 16*f + 16. Let r(p) = -p**2 + p + 1. Let t(u) = -16*r(u) + x(u). Determine o(t(c)).\nAnswer: -192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12519665, -12519666, -12519667?\nAnswer: -12519668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 258403336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23447680 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9326*b**2 + 25*b + 1501527 wrt b.\nAnswer: -18652*b + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3773838347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-16) + (-9)\/(-4). Suppose 0 = 2*f + 2, 0 = 5*j + i*f + 3*f - 10. Let v(a) = -89*a**2 - 2*a - 3. Let l be v(j). Round l to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484130888.\nAnswer: 2, 60516361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16677?\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28541 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: b\"What is the xth term of -1264, -1269, -1276, -1285, -1296, -1309, -1324?\n\"Answer: -x**2 - 2*x - 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -375, -358, -281, -102, 221, 730, 1467, 2474?\n\"Answer: 7*i**3 - 12*i**2 + 4*i - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7005941?\nAnswer: 7005941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a - 4. Let x(w) = 19*w - 9. Let k(y) = 7*s(y) - 3*x(y). Let q be k(1). Suppose 10 = -q*z, -f + 4*z + 231 = -264. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = -0*d. Suppose 4*n - 36 = -5*i, 2*n - d*i + 12 = -0*n. Suppose -4 = -3*x - n*m, 2 = -3*m - 4. Solve -y + x = -0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12)*2)\/(82\/(-1476)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 30 - 42, 4*k + 0*u + 4*u - 28 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*q - 2. Let n be q\/((0 - -4)\/796). Let d = -122 + n. What is d rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -40*l**2 - 4. Let b(k) = -k**3 + 29*k**2 + 125*k + 235. Let i be b(33). Let n(r) = 79*r**2 + 7. What is i*n(o) + 7*m(o)?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 6, 17, 216, -0.3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9905\/7075*(-6)\/(-14)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y - 36 = 47*y - 4*r, 2*y - 6 = -6*r for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4270?\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1797*v**2 - 24*v - 4. Let t(p) = -512146*p**2 + 6846*p + 1141. Determine 3423*o(k) + 12*t(k).\nAnswer: 5379*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3861 + -3808. What is the remainder when 317 is divided by w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -1.506\nAnswer: -0.06024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26062 (base 8) to base 6\nAnswer: 124214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5788 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1932 and 1414231.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/12 - -1\/12. Let n = -7 - -2. What is the closest to -0.1 in 3\/4, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 8*r = 112. Let z = 10 + -5. Suppose 8 = q + 4*j, 0 = 4*q + z*j - 0*j - 21. Calculate the highest common divisor of r and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 15*h**2 + 17*h + 9. Is y(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 15) to base 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - o - 4 + 3. Calculate the remainder when 27 is divided by j(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-20)\/12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - -8. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/28 + (-1)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 126?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -759, 0, -0.8 in ascending order.\nAnswer: -759, -0.8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191746918 to the nearest integer?\nAnswer: 13847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -18464.6965 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11407616 and 1425952?\nAnswer: 11407616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3 + 96*t - 95*t - 31. Let u(p) = 2*p. Give u(s(r)).\nAnswer: 2*r - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f. Let c(z) = -7*z**3 - 7*z**2 - 5*z. Let x(k) = c(k) + 5*v(k). Let b(w) = 18*w**3 + 11*w**2 - 8*w. Determine -5*b(l) - 8*x(l).\nAnswer: 6*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 623028 and 35?\nAnswer: 3115140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -32402*i**2. Let a(p) = -40*p**2. Determine a(n(z)).\nAnswer: -41995584160*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -290.194?\nAnswer: -2611.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*14*96\/(-896)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 1 + 3. Suppose a + 329020 = -z*a. Let r be a\/(-14) + 6\/(-21). What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1032 and 903?\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73.81 - -73. Let q = -130.89 + 131. Let s = q + d. What is the third biggest value in s, 0.2, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 - 12. Let z(v) = v - 2. Let t = 15 + -12. Let m be z(t). Let r(w) = -1. Let x(g) = m*d(g) - 12*r(g). Let i(j) = j**2. Calculate i(x(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/(8\/(4 + 76)). Suppose -34 = 2*r - l*t - 10, -4*t + 12 = 0. Let q(a) = a**3 + 7*a**2 + a - 3. Calculate q(r).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 12*g**2 + g - 1. Let b be z(1). Let q = b + -12. Solve q = -4*a + 5 - 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259 + 397. Factor h*a**2 + 2*a - 8*a - 2*a**3 - 132*a**2 + 2.\nAnswer: -2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170 by -19.\nAnswer: -170\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11510 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:10 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h. Let b(x) = 2*x**2. Let l(q) = -3*q**2 + 7*q + 7. Let t(o) = -o**2 + 2*o + 2. Let c(s) = -2*l(s) + 7*t(s). Let v(y) = b(y) + c(y). Give v(n(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (2 + (-674)\/8) - -1. Is 83 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -12?\nAnswer: 31\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h)**(-11)*h**1\/h**(2\/3) assuming h is positive.\nAnswer: h**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*d + 2057*d + 1447*d.\nAnswer: 3551*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 93493 from 13.079.\nAnswer: -93479.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -m. Let c be ((-1)\/((-2)\/154))\/(-1). Put 3, c, m in increasing order.\nAnswer: c, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7495 + 7363 = -22*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 441 - 312. Let n = -88 + o. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 1\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-4))\/((-45)\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27666102803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 45*r**2\/2 + 1925*r\/4.\nAnswer: r*(r - 55)*(r - 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1091815 and 2620356?\nAnswer: 13101780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 445\/1052, 1, -0.6 in ascending order.\nAnswer: -0.6, 445\/1052, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977*x - 3536 = 28*x - 88961 for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*f**5 + 65\/2*f**3 + 10*f + 0 + 15*f**4 + 30*f**2 = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13671731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + f + 5 = -4, 2*j + 15 = -5*f. Let l = 18 + j. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j - 44*j + 2*j + 130*j - 42*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/24)\/((-1)\/3). Solve -c - 28 = -5*a + 2, -30 = d*c - 4*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*sqrt(320)*-1 - (sqrt(320) + 0 + 3 + -2)**2.\nAnswer: -321 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -342, -681, -1020?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 4.73.\nAnswer: 4.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -64033 + 1.34798254\nAnswer: -64031.65201746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 43 - 4) + 23 + -14 + -19 - -6.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/305604 and 119\/305604.\nAnswer: 305604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5389759 or -5389760?\nAnswer: -5389760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 47 = -4. Let m(b) = -b**2 + 8*b - 5. Calculate the remainder when t is divided by m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 4) in base 16?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1d77?\nAnswer: 1d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -1.1. Let z = 6407.946 + -6414. Let w = z - -0.054. Which is the third smallest value? (a) -5 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102\/24 + 1\/(-4). Let d = w - 6. Put d, -1, 1 in decreasing order.\nAnswer: 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -24. Suppose -2*d - 3*d = -35. What is the remainder when s is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -158 in 1.6, 0.1, -0.2, -5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16777\/11 + 1864\/(-10252) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) -0.5 (b) -4\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - c + 5*c)*(9 - 6 - 2) + (2 + 2 - 3 + (-4 + 6 - 4)*(2 + 5 + 3))*(-2*c + 2*c - 2*c) as a + u*c and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2. Suppose 4*f - 29 = -3*o - 7, -2*o - 11 = -f. Suppose 2*r - 4*r + 13 = 5*h, -3*h = 2*r - f. Let j(g) = 4*g - h*g + 3*g. Give v(j(k)).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 23*s - 14. Let f(y) = 14*y - 7. Let j(b) = -5*f(b) + 3*u(b). Give j(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - (-22)\/4. Suppose 7 = l*a - 3. Let w be a\/(-1)*10\/20. Let x(g) = -2*g**2 - g. What is x(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + 1\/(-3). Let m be 5\/(-3)*-3 - o. Solve 3*g = m*x - 17 - 18, 5*g - x + 29 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 987020 and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -584.7851 rounded to zero dps?\nAnswer: -585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9617.748ms?\nAnswer: 0.1602958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1203 by -14703.\nAnswer: 401\/4901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18880, 18882, 18884, 18886, 18888?\nAnswer: 18890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 22*a**2 - a - 27. Calculate s(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1391174004 divided by -12966\nAnswer: -107294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -3\/10 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + 4. Let l(i) = -3*i + 3. Suppose -19 = 3*w - 2*s, -64*s + 4 = -62*s. Let n(q) = q - 2. Let b be n(6). Determine b*r(p) + w*l(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 117*w + 87. Calculate t(-7).\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3368 or -56?\nAnswer: -3368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000000110 + 110?\nAnswer: 1110000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 705131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -772 + -1639?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4893 + 11.86223.\nAnswer: 4904.86223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/10732 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 - (4 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**8\/1176 - 4*l**7\/245 - 9*l**6\/140 - l**5\/15 - 75*l**2 + l. Let d(u) = 0. Calculate u.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyv when three letters picked without replacement from ccvvvvcyv?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, c: 2, h: 1, i: 4, e: 2, o: 2}. What is prob of sequence be?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 4 + 2*-2)*-64. Let o be (24\/(-10))\/(k\/(-30) + 2). Which is the second smallest value? (a) -5 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/169, 0.2, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 7*d + 5. Let u be l(4). Let g(w) = 2*w + 8. What is g(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilninnyninnnlznin. What is prob of sequence niyi?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 59. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7594, 7598, 7604, 7612?\n\"Answer: g**2 + g + 7592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 475453 rounded to the nearest one thousand?\nAnswer: 475000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -24?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = 11*h + 636. Let r = 107 + h. Suppose -2*t + 56 - 20 = 0. What is the lowest common multiple of t and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/4, 13, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (16 - 17) + (1 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, -2.49, -1\/271?\nAnswer: -1\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let m(k) = 24*k. Let q(d) = -d + 11. Let h be q(-19). Give h*j(g) + m(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**7)*y**(-3\/7)*y\/(y*y**(-8)\/y)*(y\/y**14)\/y)**(11\/7) assuming y is positive.\nAnswer: y**(-957\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (8 + (2 - 2) + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 141*y - 245. What is the tens digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2599843 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 1 - ((-1 + 4 - 3) + 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-14)*2)\/(129\/86). Which is smaller: 2\/29 or s?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74434571 to the power of 1\/2, to the nearest integer?\nAnswer: 8628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17942237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 8*v**2 - 2*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2176*i - 14272 = 20925 + 69251 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 17 + 11 - 38*n + 11 - 1. What are the prime factors of w(-14)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 742942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -245427*c*s**3 + 400*c + 2*s**2 + s - 1106 wrt s.\nAnswer: -736281*c*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**3\/3 - 117*w**2 - 13689*w - 828. Solve f(k) = 0.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*m - 177*m = 214. Let t(a) = a**3 - 6*a**2 + 7*a - 5. Let o be t(5). Suppose -2*s + 126 = -o*p - 70, 0 = -s - 2*p + m. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190 - -182. Is (p\/2)\/(50\/(-325)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 349 = 374 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 1. Let t(g) = -19*g + 14. Let j(c) = 3*q(c) - t(c). Is j(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 + 6*i**2 - 6*i**2 + (-1 - 2*i**3 + 1)*(2 - 2 + i) + (i**2 + 0*i + 0*i)*(2*i**2 + 0 + 0) in the form p*i**3 + y + s*i + k*i**4 + u*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((126\/105)\/3)\/((-2)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142 or 2999\/21?\nAnswer: 2999\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by 5725.\nAnswer: 8\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -3) + (-16 - -30).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 658, 671, 702, 757, 842, 963?\n\"Answer: v**3 + 3*v**2 - 3*v + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(96) - sqrt(96) - sqrt(96))*-6 + sqrt(96))*-4)\/((3*sqrt(1152) - sqrt(1152)) + (sqrt(72)\/(sqrt(36)\/sqrt(4)) - sqrt(8))).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 63.279208 from 0.03.\nAnswer: -63.249208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141295 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -69098717567.\nAnswer: -69098717586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 4:32 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105062510*p*r + 8*p + 629334 with respect to r.\nAnswer: -105062510*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 172\/(-903) - 6\/(-105)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0, 206, 4 in decreasing order.\nAnswer: 206, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117773 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:15 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1681 - -1686. Solve 3*o - u*l = -18, 2*o - 4*l - 1 = -15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 16) to base 15\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5142.89699 + -5143. Let h = u - -0.2130109. Let z = h - 0.11. Round z to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -456900 to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -10502?\nAnswer: 10504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12411*j**3 - 849*j**2 wrt j.\nAnswer: -74466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3081204 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kukukyuuuyyuk. Give prob of sequence kuy.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 344 = -67*l. Calculate the highest common factor of 324 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0, -37, -74 in decreasing order.\nAnswer: 0, -2, -3, -37, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 734, 411, -110, -823, -1722, -2801?\nAnswer: -4054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 15 = 0, -33718*u = -5*p - 33714*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 3*f + 1. Determine v(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/9 - 2880*u + 831488\/9 = 0.\nAnswer: -12992, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 183 (base 12) to base 11\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.1 + -45.1. Let q = p + 38.96. Which is the second biggest value? (a) -0.1 (b) q (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiyi when four letters picked without replacement from {i: 3, x: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m - 330 = 0. What are the prime factors of m?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(2*j**5 + 4*j**3 - 4*j**3) + 80*j**5 - 34*j + 34*j.\nAnswer: 72*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 + -169. Let b = 96.6 + -96.6. Let x = 0.1 + -0.15. What is the closest to b in -0.3, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1192 divided by 282\nAnswer: 596\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27480 divided by -1374?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67.97 - -592.97. What is the nearest to -1 in 1\/2, 1\/3, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeexwwetwzwemzwmzm. Give prob of sequence etm.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 - 2.9. Let k(n) = -n**3 + 11*n + 11. Let m be k(-1). What is the closest to m in 4\/5, w, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1751*r - 320391. Give l(-183).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-25))\/(4\/10). Suppose 1074 = 2*d + g*s, 4*d - s + 849 = 3017. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32163 - 0.02163. Which is the fourth smallest value? (a) 11\/20 (b) -1 (c) f (d) -4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqaqmammaqmqmamqaaa. What is prob of picking 4 m?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 25809 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 257 = 2*j - 3*t, j + 3*t = 37. Let o = 1231 - 1281. Let s = o + j. Let u(n) = 3*n - 1. Give u(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a = j - 450, -5*a = -2*j + 893. Suppose j - 134 = 7*w. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*l + 13, -6 - 2 = -2*l. Let s(b) = 1 - c - 27*b**2. Let w(t) be the first derivative of -2*t**3\/3 + 4975. Calculate s(w(m)).\nAnswer: -108*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 61*s**2 + 29*s - 51. What is q(31)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3136.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13253444 (base 7) to base 15\nAnswer: -19272b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12786747 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -2. Let v = l + 5. Solve t = -v + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 4*v - 3. Let m be o(-3). Let g(i) = -i**2 + 2*i + 3. Let r be g(m). Suppose r*q = -4*a + 941, 4*q - 1268 = 2*a - 4*a. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -337911 - -337911.5. Let w = 7.3 + -7. Sort 12\/5, w, m, -4\/7 in increasing order.\nAnswer: -4\/7, w, m, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-96*v + 7*v - 86 + 88)*(244*v - 60*v - 48*v).\nAnswer: -24208*v**2 + 544*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v**(-6))**(12\/17) assuming v is positive.\nAnswer: v**(-12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-12 + -1 + 2). Suppose -2*u = 8 - p. Solve u = -r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/9 and 29\/173869.\nAnswer: 1564821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-970 + 2214 - 984 - 5*v)*(v - v + 2*v)*(-v - 4*v + 4*v) as h*v**2 + x*v + i*v**3 + l and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = w - 5*g, -5*w - 5*g + 3*g = -23. Suppose -m - 1 = -w. Solve -4*z = q - m*z + 9, -3*z = -q + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.74 = -56.5515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -916758 at least -11917836\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2379 and 9089?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**5\/2 + 6177*i**4 + 3465069*i**3\/2 - 5277981*i**2 - 7004340*i = 0.\nAnswer: -3815, -306, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 82, 132, 186?\n\"Answer: 2*f**2 + 40*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(-2*sqrt(60))\/sqrt(5).\nAnswer: -100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 2*p - 8*q, 4124*p - 4122*p + 96 = -5*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g**2. Let o(j) be the second derivative of -24*j**3 - 7317*j - 1. What is o(x(n))?\nAnswer: 1296*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -2*(-363)\/(-12)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 13 = 7. Let d be 1\/k + 1282142\/(-10). Let s = -78214 - d. What is s rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.6, -3\/7, -2, 3?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1075.8 + -1382.8. Which is smaller: 2\/17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -9. Suppose m*x + 345 = 14*x. Calculate the greatest common divisor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z + 10 = -19*z. Solve z - 21 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1 - 0) + 2\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**6))\/(j*j**(-2\/3)))\/(j*j**6*j*j*j\/(j\/(j\/(j**(-2\/11)\/j))*j)))\/(((j*j**0\/j)\/j)**10)**(-7\/10) assuming j is positive.\nAnswer: j**(-380\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wme when three letters picked without replacement from {e: 1, w: 3, m: 1, v: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b*b**(1\/6)\/b*(b*b**(-3))\/b**(-1))\/(b*b**(-1\/9)*b**(-3))**8 assuming b is positive.\nAnswer: b**(271\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:57 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 16*c + 45. Let b be l(13). Let j = -2 - -2. Let n = 0 - j. Solve n = -m + 4*m + b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjaaorkkk. What is prob of picking 2 k and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asnannanaaaznznnnn. Give prob of sequence sz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 3*v**3 + 0*v**3 + v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4357*i**2 - 4242*i**2 + 12848*i**2 - 4252*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1279*y + 425. Let g be l(2). What is the highest common divisor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/52847 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 17 - 19)*(2 - 4*y - 2)*(y - 2*y + 7*y + (-2*y + 2*y + y)*(0 + 2 + 0)).\nAnswer: 3584*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*d**2 + 51*d**2 + 13543112 - 13543112.\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0083, -10, 0.041?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 575 + -156. Let d = -293 + x. What is the least common multiple of d and 8?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 0 + 0 + (1 + 5 - 4)*(3 - 3 + 2*s) + 147 - 17*s - 293 + 142 as u + r*s and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - t + 2*t + (2 - 5 + 1)*(-3*t - 3*t + 4*t) - 26*t + 8*t - 8*t + (0*t + 4 - 2 - t)*(-1 + 0 - 2)*(-1 + 4 - 1) in the form r + a*t and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - (197 - 199 - (4 - -1 - 7 - 0))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 4:20 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428234 is divided by 2645.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2320 and 47360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o**5\/2 + 2472*o**4 + 80979*o**3\/2 - 13155*o**2 - 162558*o + 13068 = 0 for o.\nAnswer: -33, -2, 2\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 3*w**2 + w + 1. Let t be c(3). Find the third derivative of a**5 + a**2 - 2*a**5 + t - 4 wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 110. Let i = 2 + -1. Let y = 2 + i. What is the closest to y in p, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-374)*-1793 - (10 + 9))\/(-2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*o - 19. Calculate the remainder when 25 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + 6 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*h, -2 = -5*h + s + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 8*y + 59 + 37 + 0*y + 27 as m*y + h and give h.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303418, 303457, 303578, 303823, 304234, 304853, 305722, 306883?\nAnswer: 308378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*d + 19*d - 39*d - 2*d**2 - 21*d - 28*d.\nAnswer: -2*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 979, 3900, 8761, 15562, 24303, 34984?\n\"Answer: 970*t**2 + 11*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.11 - -3. Let u = n - 6.89. Let m = u - -19. Which is the nearest to m? (a) -5 (b) -1 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkp. What is prob of sequence pk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 8225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 2\/3 (c) 71 (d) -5 (e) 2\/55 (f) 2\/25 (g) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 962\/7 - 138. Let m = -0.05 - -2.05. Which is the nearest to -1\/4? (a) u (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1679 + 2*m + 435 + 295 + 447 to u*m + v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.88 + 10.38. Let j = 38.7 - 41. Let z = j + -0.7. Which is the smallest value? (a) -2 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3 (c) -2914 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 494*m**4 + m**3 + 26*m**2 + 20.\nAnswer: 11856*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - c)*(c**2 - 4*c**2 + c**2) + 94*c**3 - 173*c**3 - 36*c**3.\nAnswer: -119*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*2*sqrt(637)*4*6.\nAnswer: -1344*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 1)*(-4 + 5 - 3) - 1 + 0 + 0 + 1 - 1 - 2)*(7*k - 16*k + 7*k - 3).\nAnswer: 10*k + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5253 is divided by 99?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-16 - -8) + 10. Solve 3*s = 5*m - 5, 15 = y*s - 5*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33329*g*l**3 - 14*g*l**2 - 2*l**3 + 2982*l**2 + 18*l - 1 wrt g?\nAnswer: 33329*l**3 - 14*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/2, -0.11, -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3628191344 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -49, -69, -87, -103, -117?\n\"Answer: z**2 - 25*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - y = -1 - 11, 9*a + 26 = 2*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 - 1 + 1 - m**3 + 2 - m. Let l(z) = z**2 + 24*z - 140. Let v be l(5). What is the tens digit of s(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (3 - 3\/(6\/4)). Solve l - 4*l = -g*c + 1, 3*l = -c - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 16) in base 4?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.526 - -0.274. Let t = v - 29.2. Put 0.3, 3, 16, t in descending order.\nAnswer: 16, 3, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37186.4 rounded to the nearest 100?\nAnswer: 37200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/(6\/18). Suppose 0*k - 2*k + q = 0. Let f = k + 5. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4115789220.\nAnswer: 2, 3, 5, 6833, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -15. Let r be 5\/(213\/90 + (-4)\/(-30)). Suppose r*n + o = 125. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -7*y**5\/20 - 2*y**4\/3 - 6*y. What is the third derivative of k(z) wrt z?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 32. Let s(o) = -1. Determine -g(f) + s(f).\nAnswer: 5*f - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(272))*-6 + -2.\nAnswer: -24*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34208 is divided by 2153.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/19 (b) 39 (c) 0.02 (d) -0.2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - b**2 + 6 - 6 + 2*b + 3. Calculate x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1051 and -95\/6.\nAnswer: 6306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*p - m + 16, 5*m + 53 = 2*p. Let d(o) = -o**3 + 13*o**2 + 16*o + 24. Suppose 2*a = -2*a + 88. Calculate the least common multiple of d(p) and a.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -0.4, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-240)*10 + 10527\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1872)*-2 + -4.\nAnswer: -24*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129261?\nAnswer: 3, 11, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 18, s: 2}. Give prob of picking 3 o.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*(l*l*l**(-5\/2))\/l)\/l)\/(l\/l**(12\/7)))\/(l**(-15)\/(l*l**(-2\/79)*l*l*l)))**(-2\/7) assuming l is positive.\nAnswer: l**(-20117\/3871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.35676m in kilometers?\nAnswer: 0.00835676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -7529*i**5\/10 - i**3\/6 - 63*i**2\/2 - 57*i + 56. What is the second derivative of d(r) wrt r?\nAnswer: -90348*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 smaller than 549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**8\/56 + v**7\/14 - 5*v**4\/12 + 7*v**2\/2 - 83*v. What is the third derivative of i(u) wrt u?\nAnswer: 120*u**3 + 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = 19*n + 177 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41341312 (base 5) to base 13\nAnswer: bbb0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33207 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22121010200 (base 3) to base 15.\nAnswer: 3521c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 164 = -0*y + 4*v, -252 = -5*y - 4*v. Is ((-2)\/(-2))\/(4\/y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -3*u**5\/100 + 3*u**4\/10 + 31*u**3\/10 - 54*u**2\/5 + 3495*u. Find s such that v(s) = 0.\nAnswer: -4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -7, -2\/7, -53?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (9 + -17) - 9 - (-6 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44654 divided by 3108\nAnswer: -22327\/1554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (5 + (-5 - -2 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2369 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*t - 566, -8*p - t - 226 = -10*p. What is the highest common divisor of 24 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, -6094252?\nAnswer: -6094252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 381?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - -2.6. Let l = q + 0. Suppose 6*b + 7 + 23 = 0. What is the closest to 0 in b, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59361 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (606\/(-505))\/(3\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-10)\/(-2) - (-28009 + 11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 521, 542, 587, 668, 797?\n\"Answer: 2*i**3 + 7*i + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t - 34*t = 75. Suppose -43 = -t*l + 2362. What is the greatest common divisor of l and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38457 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 320 - 3*t**3 + 102*t**2 + 106*t**2 - 4*t - 202*t**2.\nAnswer: -3*t**3 + 6*t**2 - 4*t - 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*h - 490*h = -238*h - 34. Factor h - 2*b - 3\/2*b**2.\nAnswer: -(b + 2)*(3*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/24)\/(10\/((45\/5)\/3))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 31835.304?\nAnswer: 6367.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*w**3 - 325*w + 327*w + 163*w**2 - 174*w**2.\nAnswer: 186*w**3 - 11*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 3. Let z(p) = 5*p - 3. Give -3*d(t) + 2*z(t).\nAnswer: -5*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 + -93. Suppose -5*h = -d - 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -529*d + 3698. Calculate r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0065 to 4 dps.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c**3 + 11*c**2 - 23. Let m(y) = -4*y**3 + 6*y**2 - 12. What is 11*m(a) - 6*p(a)?\nAnswer: -2*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279027 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, b: 1, i: 3, c: 2, x: 3, y: 1}. Give prob of picking 1 x, 2 i, and 1 c.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -1020.405\nAnswer: -612.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189113525 is divided by 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/897171113 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*j + 102*j + 3947 + 135 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 8*u = 39 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(2\/73)*q\/q**41 assuming q is positive.\nAnswer: q**(-2776\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134956.0008 + 134876. Let j = s + 80. Round j to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18488 is divided by 3282?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 37*c + 159. Let l be z(39). What is the third derivative of -7*d**4 - 2*d + l*d**4 - d - 4*d**2 - 3*d**2 + 25*d**4 wrt d?\nAnswer: 2376*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 871.543 to the nearest ten.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 6:13 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 8*x + 5. Let v = -3 - -10. Let i be s(v). Calculate the common denominator of 0\/i - (-51)\/(-8) and -101\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2268)\/1782)\/((-5)\/(-440)))\/(18*-1).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 13. Let c be (6\/5)\/(r\/45). Let u = 32 + c. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155*c**3*m - 25*c**2*m - 2*c*m + 2*c + 233*m + 3 wrt c.\nAnswer: -465*c**2*m - 50*c*m - 2*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 2865323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/3 + -227\/39. Let y = 2.381 - -2.619. What is the smallest value in -5, y, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2087*d - 3732*d - 135450 = -20338 + 76915 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*a + 5*z - 117, -a - 4*z + 11 = 0. Calculate the remainder when a is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/10)\/(28\/(-70)). Let m(n) = n**3 - 9*n**2 + 9*n - 1. Let y be m(8). Let p be (y\/2)\/(-7)*0. Solve -2 = -i*s - p*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -5\/12*f**3 - 3\/2*f**2 + 356*f + 0 + 1\/24*f**4. Factor j(l).\nAnswer: (l - 6)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 59, 185, 413, 773?\n\"Answer: 5*c**3 + 6*c**2 + c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*x - 34 = 0, 0 = 2*q + 139731*x - 139733*x + 6 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 191197 - 191197 + x. Let m(r) = 6*r**2 - 25. What is m(s(w))?\nAnswer: 6*w**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5139348226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - v + 0*v + (-6 - 17 + 12)*(2*v - 2 + 2) + (5*v - 4*v - 3*v)*(12 - 2 + 3) - 4*v + 8*v + 2*v to x*v + y and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -93 - (2 - 3)) + 16794 + -16789?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40158017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008524 rounded to 5 dps?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/8*(-7 + 1\/1). Let l be (3\/w - 0)\/(19\/(-399)). Let s(h) = h - 10 - 2*h - h. Determine s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*o**2 + 0*o - 53*o**2 + 2*o - 2 - 73*o**2 - 1669*o**4 - 56*o**2 as c*o**4 + q*o**2 + i + p*o + a*o**3 and give c.\nAnswer: -1669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721823368?\nAnswer: 2, 7, 41, 47, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386631391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 26*m**2 + 152*m - 4. Let g be x(-13). What is the greatest common factor of 91 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1302 - -1?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8307.136 kilometers to micrometers.\nAnswer: 8307136000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5629713 is divided by 461.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1237183372 or 1?\nAnswer: 1\/1237183372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 52. Put -4, j, -1, 3 in decreasing order.\nAnswer: 3, j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:20 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1944*d + 244452 = -4324*d for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -187180 divided by -98\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 20. Let d(l) = l. Let w be d(11). What is the highest common divisor of w and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*g + 305*g - 36192 = -83*g for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3139 - -0.9335. Let k = -0.0656 + m. Round k to two decimal places.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6983 - -6985. Solve -k*v = 708 - 696 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-8) - (-2)\/(-8). Let o = l + 2. Which is the closest to o? (a) 3 (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 21. Suppose -g*i - 4*i + 462 = 0. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-6)*27\/(-18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, f: 2, d: 2, e: 1}. Give prob of sequence ad.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31276?\nAnswer: 2, 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*u = 69*p + 285*u + 65, 0 = 2*p + u + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, v: 9}. Give prob of picking 2 v and 1 q.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2543336 and 85.\nAnswer: 12716680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*y - 3784573 - 1125916 = -57*y. What are the prime factors of y?\nAnswer: 31277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4362286439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 17 = -2*v + 2*n, 2*n + 33 = -5*v. Which is bigger: v or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -46446646\/9 and -5160738 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8 - -1639.35567.\nAnswer: 1631.55567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:36 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = 3*p - 12*g - 3, -4*p = 5*g - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/1680327?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/8 and -55\/422.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 7)*(3*i**2 - 3*i**3 - 3*i**2) + 151*i**3 - 290*i**3 - 5*i**2 + 166*i**3 to the form f*i + m*i**3 + p + q*i**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11513 rounded to the nearest one hundred?\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315 divided by 3.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36304 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/288*-3). Let m = s - -27. Suppose 0 = -2*f - m*l + 254, l + 39 - 567 = -4*f. Is f a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-80)\/25)\/((-6)\/75).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 62 - 4*z**2 - 31.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44035 = -647*w - 1254 + 11567. Let l(m) = 170*m - 16. Let u be l(8). Calculate the greatest common divisor of u and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*7*188\/329\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from diiiidiidiiiiiii?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/24 - 5\/12. What is the third biggest value in -0.2, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 4\/784475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-480)\/(-90))\/((-2)\/(-3)). Calculate the greatest common divisor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(5) + sqrt(10)\/sqrt(2))**2.\nAnswer: -48*sqrt(5) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -55. Suppose -m*t = -4*t - 690. What are the prime factors of t?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.06 (c) 1\/2 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*k*n**3 + 25*f**2*k*n**2 - 290*f*k*n**2 - 446*k**2*n**3 + k**2*n**2 + 105*n**3 wrt n.\nAnswer: 6*f**2*k - 2676*k**2 + 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9 - (-5)\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33896 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**4\/4 + 37*n**3\/6 - 22*n**2 - n. Calculate r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 40497315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 386859 greater than or equal to 386859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*j - 1. Solve j*m + 15 = -0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 669*(-3)\/99 - -20?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 1 p when three letters picked without replacement from {p: 6, j: 2, a: 1, x: 1, o: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0994, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -178, 724 in descending order.\nAnswer: 724, -4, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.309119 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(1 + 2*m**2 - 1) + 0*m**2 + 0*m**2 - 2*m**2 + m**2 - 3*m + 4 + m - 3.\nAnswer: 3*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/(-64))\/(42\/56))\/(5 - 475\/20)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + z = -5, -111*x - 23 = -106*x - 2*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 25*w = 16. Let o be (7\/(-21)*w)\/((-2)\/(-39)). Let p(m) = 5*m**2 - 2*m - 4. Let y(h) = -11*h**2 + 5*h + 9. Calculate o*p(i) + 6*y(i).\nAnswer: -i**2 + 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4 + 8*m**3 - 4*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 52 = 0. Suppose 5*c + 3*j - 105 = 0, c - 18 = 5*j + 31. What is the remainder when c is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/13? (a) 2\/33 (b) 2\/7 (c) 0.5 (d) 1 (e) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h + 7115. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = -602*q + 624*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-8)\/168)\/((-224)\/(-784)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(1\/2))\/q)**(5\/2)\/((q**(-1)\/q)\/q*q\/q**5))**(11\/3))**(-45) assuming q is positive.\nAnswer: q**(-3795\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 4. Let f be t(6). Suppose -4*q = 4, 5*p + 7 = -3*q + 164. What is the greatest common divisor of f and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541416397?\nAnswer: 43, 619, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**2 - m + 7. Let v be f(-4). Calculate the greatest common divisor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0*n**3 - 4*n + 0 + 2*n**2 + 0*n**4 - 3\/20*n**5. What is the first derivative of u(f) wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282675627 to the nearest integer?\nAnswer: 16813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10720\/(-11725)*5\/(-400)\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24\/24*2\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 0 + -8)*((-662)\/2 - 1). Solve -1026 + o = -6*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -16, 5, 2, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -f + 2, o = 4. Suppose 0 = z - 0*z + 2. Calculate the remainder when 28 is divided by (4 + z)\/f + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a**3 + 56*a**3 - 32*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 0*q**4 - 14*q**4 + (-1 + 2 - 2)*(-3*q**4 + q**4 + 4*q**4).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1507526358442 - -1.\nAnswer: 1507526358443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1138 + 1391?\nAnswer: 2519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 + 10 + (5 - 1). Suppose t = 2*q + 3*t - 108, o*t = -q + 57. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/9)*j**(-1\/4))\/(j**1)**(-13))\/((j**(-2\/15)\/j)\/j**(2\/9)*j*j**(-1)*j*j*j**(-1)\/j*j) assuming j is positive.\nAnswer: j**(2399\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 7370 = -530. Which is greater: f or -854?\nAnswer: -854","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 112*f - 4*f = 99 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101872892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 5*s + 5. Let v be c(-5). Let f(l) = -8*l - 7. Let n be f(-1). Solve n = -v*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*y = -4*y, 0 = 4*r - 5*y + 29. What is the closest to -0.08 in 2, -4, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 2*h**2 + 1185. Is v(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 30*k**2 + 12*k - 41. Let m be q(-29). Let c = 697 - m. Does 35 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60.9 + 17.9. Let j = s + 39. Let x = -14 - -43\/3. What is the third smallest value in 2\/13, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 17*b**2 - 38*b**2 - 26)*(34*b + 4*b + 0*b).\nAnswer: -2090*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5259 or 10517\/2?\nAnswer: 5259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*y - 53398, 26*f - 4*y = 31*f - 53391. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/14 - (-6)\/(-21). Suppose -2*y - 25 = 3*k, -5*y + 2*k = k + 20. Sort y, w, 2\/3 in descending order.\nAnswer: w, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 4*h**3 - h**2 - 3*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/20 - 19*h**2. Let r(v) = -6*v**2. Calculate r(p(q)).\nAnswer: -54*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 868480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 n, and 1 g when four letters picked without replacement from {w: 1, n: 3, v: 2, g: 3, r: 2, m: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*c**2*s**2 - 55*c**2 - 38*c*s**2 + 55*s wrt s?\nAnswer: 204*c**2 - 76*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 83*v - 80*v + 8*a, 0 = -v + a + 2. Solve -f + j = -v, 5*j + 0*j + 24 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1140*j**4 - 55*j**3 + 4095*j**2 - 13.\nAnswer: -27360*j - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 179631488 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -621615, -1243227, -1864839, -2486451, -3108063?\n\"Answer: -621612*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h + 1\/2*h**4 + 3\/2*h**2 - 2 + 2*h**3.\nAnswer: (h - 1)*(h + 1)*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167510\/39 - -4296. Let l = o + 6\/13. What is w in l*w**2 - 4\/3*w + 0 + w**3 = 0?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18557 and 6237?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*g - 85*g + 161 = 0. Let d = 7.8 - 7.9. Which is the third biggest value? (a) g (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 2\/9, -19, 203?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 11*x + 11 = 10*x, 3*x - 11 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4258616 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 363*c + 81*c + 5174 + 5482 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.32 + 0.32. Let i be (-6)\/4*(-2)\/(-5). What is the third biggest value in i, m, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22205 divided by -4.\nAnswer: -22205\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d + 45. Let q(x) = -6*x - 22. Let c(p) = 2*l(p) + 5*q(p). What is the first derivative of c(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.015 (b) -1 (c) -2\/21 (d) 0 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g. Suppose 13*o - 16*o = -1170. Let p(t) = -175*t - 197*t + o*t. Determine n(p(s)).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 11*b**2 - 2*b - 2. What is the tens digit of g(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 84 - 72. Let x(g) = 2*g**2 - 11*g - 5. Calculate x(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24386 and 712.\nAnswer: 97544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-81 - -68) + -16\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52008 divided by 4334?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1160)\/(-464)*(-8)\/(-32)*(-2)\/3\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.8 - -12. Let n = v - -0.3. Let f = n - 1.7. Is -3 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y*y*y*y\/(((y\/y**(2\/15))\/y)\/y)*(y\/(y*y*y*y**(-7\/3)\/y))\/y**(1\/4))**(-1\/32) assuming y is positive.\nAnswer: y**(-253\/1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 h when four letters picked without replacement from hmmhhhhhhmhhhm?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4476 and 5\/1989582.\nAnswer: 3979164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/849 in 2\/5, -0.15, -11?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 8*t**3 - 5*t**3 + (-2*t**2 - 2*t + 2*t - t)*(75*t - 153*t + 121*t) - 14*t**3 + 13*t**3 - 2*t**2 - 2*t**2 as u + y*t + z*t**2 + m*t**3 and give m.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/24)\/((-14)\/(-21)))\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46907 in -5, 2, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-12) + 10129\/21?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:09 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 10) to base 4.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 j, and 2 z when four letters picked without replacement from jzjzffjzfjzzzjpff.\nAnswer: 75\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 553*y**5 + 70*y**4 + 117*y**3 - 4*y**2 - y - 27138572 wrt y?\nAnswer: 33180*y**2 + 1680*y + 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333321 + -331440?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00489 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -226, -453, -680, -907, -1134?\n\"Answer: -227*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2*p - 5*p + (5*p + p - 4*p)*(3 - 10 + 1))*(2 - 2 + 5*p).\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8310 divided by 10.\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + 35. Let j = 139 - r. Suppose -4*w + 0*i + 3*i + j = 0, 5*i - 79 = -4*w. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 15*d**2 - 37*d - 6. Let f be x(12). Let c be ((-8)\/24)\/(2\/f). Solve 0 = -c*y - 4 - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 7*m**2 - 7*m - 8. Let u be y(-6). Let c be (56\/(-12))\/(u\/9). Suppose 7 = -q + c. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/10)\/(54\/(-15))*-1. Sort 0.1, g, -6, -1 in increasing order.\nAnswer: -6, -1, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 + 212220011?\nAnswer: 212212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**2 - 3*d. Let h(y) = y - 4. Determine -4*a(n) - 2*h(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8049907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, and 2 l when four letters picked without replacement from usfslcnl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p + 1. Let x(h) = 23*h + 2. Let m(n) = 5*l(n) - 3*x(n). Let w(g) = g**2 - 4*g - 1. Let q be w(4). What is m(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22517 divided by -253\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**2\/2 + 4*n + 202. Let s(a) = -6*a**2. Let j be s(-1). Give k(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6287 + 12392. Does 102 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17084, 17124, 17180, 17258, 17364, 17504?\n\"Answer: y**3 + 2*y**2 + 27*y + 17054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3*26\/18*-1)\/(1\/5277)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 - 433340032?\nAnswer: -433335543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1352 by -1.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3)*(-6 + 0). Suppose -j*d + 20 = 6. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 47770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-8)\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/7 - 4\/14. Suppose -2*g - 1 = -5*o - 6, 2 = -g + d*o. Let t = g + -7. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -891.676705.\nAnswer: -892.276705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 16883304.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4742?\nAnswer: 2, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*r + 9 = 91*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -162555?\nAnswer: 1\/54185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3507)\/(-8183)*(-5)\/((-930)\/(-28)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273111929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 38*d - 5 = 0. What is the third smallest value in 2, d, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 14 - 31 = 0. Let r = y - -8. Let a be (0\/2 - 1)\/r. Solve 0 = f - 5*n + 11, -3*f = 4*n - 6 + a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 9) to base 3\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 f, 1 c, and 1 q when four letters picked without replacement from cccfgccqfqcqq?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 2 + 4)*(2 + 0 - 3) - 5 + 3 + 5 + (-4 + 0 + 2)*(-4 + 3 + 0))*(-3*i - 3*i + 3*i) in the form n + l*i and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-340)\/(-5))\/(272\/(-68))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -97 (b) -16 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430 at most 2022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -0.08 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-900)\/(-8400)*2\/(-12).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121000222122 (base 3) in base 14?\nAnswer: 83063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 81. Let m be n(23). Let z(q) = 83*q + m*q**2 - 83*q. Let r(w) = -8*w. Determine z(r(v)).\nAnswer: 768*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k - 162*k + 13325 = -33*k + 273*k for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/2 - 9*p**4\/8 + 9*p**2. Find the second derivative of a(q) wrt q.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 27. Let m be u(0). Let o = -38 + m. What are the prime factors of (0 + -1)\/(1\/o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.695 - -10558.\nAnswer: 10562.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -542285012 by -2.\nAnswer: 271142506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818 = -262*j + 162 + 1116 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 336.85 + 254.1.\nAnswer: 590.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 244874?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3*x**3 + 2883158*u**3*x**2 - 5*u*x**3 + 5*u*x + 2*u + 367*x**3 + 8*x wrt u?\nAnswer: 6*u*x**3 + 17298948*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 22. Suppose 0 = -2*q + r*q. Suppose -2*f + 93 + 17 = q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*q + 858 - 284 - 315 = -3484 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -308040 equal to -308872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*j**4 - 354*j + 396*j**4 - 104*j**4 + 1184*j wrt j.\nAnswer: 7764*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 1, 4\/6555, -2\/17, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 543575595?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-28)*(-224)\/10*(1300\/40)\/13?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4059, 4067, 4079, 4095, 4115, 4139, 4167?\nAnswer: 4199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 44*s + 24. Let x(z) = 14*z - 2 + z + 2 + 8. Suppose -q - 1 = -6. Let h(y) = q*i(y) - 14*x(y). Find the first derivative of h(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:32 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m + 9 - 3*m - 28*m - 19*m.\nAnswer: -17*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 4*m**2 - 3*m - 4. Suppose 3*x + 1 = -2*v + 6*x, -4*v = x + 9. Let y = v + -3. Let h be n(y). What is the greatest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188944 and 1372.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 223020615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(450) + sqrt(450) + sqrt(450))\/(sqrt(640) + (sqrt(640) - -2*sqrt(640))) + ((-5 + 0 + sqrt(125))*1 + 0)**2.\nAnswer: -1591*sqrt(5)\/32 + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) 0 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3435875?\nAnswer: 5, 27487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355333 is divided by 2207.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 1628. Let y(l) = -6*l**2 + 2*l. Calculate f(y(m)).\nAnswer: -24*m**2 + 8*m - 1628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**3 - 2*f**2 - 12*f - 11. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/46*(-28)\/84*-6?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 207004.\nAnswer: 207004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - -4 - (1 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198*w + 430*w + 232*w + 322*w + 30*w)*(5*w**2 - 4*w**2 + 0*w**2).\nAnswer: 816*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4433 is divided by 1474?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 135 = -5*p, 11*i - 132 = -4*p + 7*i. Solve -g - p = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149 - -1045\/7. What is the biggest value in s, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2362010.2 * -0.2.\nAnswer: -472402.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474735 and 8115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 24.7. Sort -3, -5, l in decreasing order.\nAnswer: l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 377 - 187 + 115*b - 44*b + 84*b - 189 as w*b + l and give w.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9128 - 3289. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-34)\/153). Let k(q) = 8*q - 22. Calculate the remainder when (1 - 0)*(3 + 0) is divided by k(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 24 - 4*g - 23 + 11*g - 4*g. Let a(v) = v**3 + 19*v**2 + 34*v + 7. Suppose -4*i - 76 = -8. Let r be a(i). What is m(r)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107495*x - 50334*x**2 - 107495*x.\nAnswer: -50334*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5400192 by -771456.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/6 + 7\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30398)\/4)\/((-19)\/38). Suppose 3*o = a - 1678. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 212 = -112. Suppose 0 = 3*r + 18 - a. Suppose 4*s + r - 9 = 0. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 4*s + 3. Let y be b(4). Suppose o + 4 = 3*o, -5*o = y*n - 184. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138410149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 11, a: 1, g: 5}. Give prob of sequence gv.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 - 16 = 0. Suppose 0 = -3*t - t + 5*i + 161, -y*i + 191 = 5*t. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -293165, -293126, -293059, -292964, -292841, -292690?\n\"Answer: 14*m**2 - 3*m - 293176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -6*r - 181. Differentiate -25*j + 5*j - 183 - 24*j + 9*j - r*j wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2184064766 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1049808103\/154 + 47816700\/7. Let q = -14017 + m. Find the common denominator of 91\/10 and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let l(p) be the third derivative of -p**4\/24 + 30*p**2 - p. Give 13*b(f) - 6*l(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 380615, 1522491, 3425655, 6090137, 9515967, 13703175, 18651791, 24361845?\n\"Answer: 5*m**3 + 380614*m**2 - m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 1)*2\/5. Suppose 4*v - 3*v + 3*c - 73 = 0, y*v + c = 141. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*20.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15180 and 1920.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -9. Let k = -11.29 + b. Let c = k - -0.29135. Round c to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - -31. Let q = p + -28. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {v: 3, q: 1, u: 4, t: 8, n: 1}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -239*f**4*h + 1079*f*h - h + 150783 with respect to f.\nAnswer: -956*f**3*h + 1079*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55146002*p**4 + 549107572*p**3 + 630105414*p**2 + 26127808*p + 275968 = 0. Calculate p.\nAnswer: -1, -112\/5251, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463098210?\nAnswer: 2, 3, 5, 19, 71, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 - 120 - 344)*(11 - 7 + 13)*(-6*g + 3*g - 2*g) to z*g + u and give z.\nAnswer: 35530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ad944 (base 15) in base 13?\nAnswer: 109b27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -5*s + 7*s - 8, -2*c = -4*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1699 + -12a8?\nAnswer: -2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 2*d)*(229*d - 8*d + 7 - 7).\nAnswer: -442*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 + 16*v**3 - 12*v**2 - 14*v + 12 = 0 for v.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 38 = -178. Let d = 54 - 19. Calculate the remainder when d is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18\/11, 0.1, 4, 5\/2, 0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 3 (b) -2\/19 (c) -0.1907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 4011, -1, -5, 3, 0 in increasing order.\nAnswer: -5, -1, 0, 3, 68, 4011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 1\/2, -0.0027 in increasing order.\nAnswer: -1, -0.2, -0.0027, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 7. Let p(z) = 29*z + 85. What is 22*a(r) + 2*p(r)?\nAnswer: 36*r + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8226 = -5*w + 2*l, 3*w - 6578 = -5*l - 1630. Let g = w + -961. What are the prime factors of g?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221691, 886695, 1995019, 3546663, 5541627, 7979911?\nAnswer: 10861515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgh when three letters picked without replacement from gghjgjhhg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0091 - -1.9909. What is the smallest value in 26, 0.2, 0.4, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/12 and -45\/10035572.\nAnswer: 30106716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/5 + 2668*w\/5 + 1068 = 0?\nAnswer: -2, 2670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -5421.\nAnswer: 31\/5421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 + 299. List the prime factors of g.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 21 = -4*h - 0, h - 9 = 5*a. Let d be h\/(-6) + 48\/126. What is the third biggest value in 0.2, d, 2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 + 4*o + 2. Let m(t) = -6*t**3 - 22*t**2 + 5*t + 5. Give -2*l(u) + m(u).\nAnswer: -4*u**3 - 20*u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 428, 1899, 4418, 7985?\n\"Answer: 524*s**2 - 101*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a + 142. What are the prime factors of r(34)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h - 40. Suppose -3*m + 4 = -5. Calculate the lowest common multiple of 4 and h\/m*(-6)\/5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98, -93, -88?\n\"Answer: 5*p - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 448 + -439. Let o = c + -14. What is the second smallest value in 6, -2\/7, o, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6865863 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 1, v: 2, b: 2, n: 8, x: 1}. What is prob of sequence bxv?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h = -13*h + 68. Which is the third smallest value? (a) h (b) 4\/5 (c) 3\/2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 1 y when three letters picked without replacement from {b: 4, y: 3, l: 2, d: 1, o: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153151 - -153150.99895169. What is b rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 + 718862?\nAnswer: 718862.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5.62 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/(-84) - (-849)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102535.4 - -0.4.\nAnswer: -102535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9760*r**3 - 20568*r**3 - 18165*r**3.\nAnswer: -28973*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -361 by 1.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 3*i + 2*i - 26540 - 9*i.\nAnswer: -i - 26540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40376 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13268\/18 + -7 + 3\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933634557.\nAnswer: 3, 103737173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(-4*d + 4*d + 2*d**4) + (-2*d**2 + 3*d**3 + 2*d**2)*(5*d - d - 2*d) to i + q*d**4 + t*d + h*d**2 + w*d**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (2 - (0 - -1)) - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -6*u**5\/35 - 15*u**4\/14 + 12*u**3\/7 + 96*u**2\/7 - 192*u\/7 + 85. Suppose j(a) = 0. What is a?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j + 3*j - 5*j + 3*j as a + r*j and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**2)\/m**(2\/15)*m**(-4\/7)*m*m*m**(-2) assuming m is positive.\nAnswer: m**(-179\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57628 divided by -4\nAnswer: -14407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 6. Let h(a) = 3*a - 6. Let r(o) = 4*h(o) + 3*i(o). Let f(u) = 2*u - 4 + 4 - 2. What is 11*f(m) - 4*r(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 426 = 5*c - 409, 32 = -19*w + 2*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -141 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 1:18 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1039, -8839, -30009, -71233, -139195, -240579, -382069?\nAnswer: -570349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*z - 34 = 0, -x + 2*z = -2 - 0. Suppose -2*n - 3*v + x = -16, -v = -4. Calculate the remainder when 109 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 22113123?\nAnswer: 22113202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {w: 2, x: 1, d: 2, k: 2, a: 1, e: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 1022*i**2 - 1102*i + 39935. Give s(512).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (300 - 125 + 171)*(l + 9*l - 2*l) in the form z*l + s and give z.\nAnswer: 2768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*(-4)\/(396\/(-77)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Sort 1, 0, t in decreasing order.\nAnswer: 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -6 + (-1 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 4, e: 2, w: 1, h: 1}. Give prob of sequence llf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 519652 divided by 67\nAnswer: 7756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15744 * -48205\nAnswer: 758939520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138851.47746 + -138850. Round f to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86560 (base 9) to base 10\nAnswer: 57321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 112, -3, 175, 3 in increasing order.\nAnswer: -3, 1, 3, 7, 112, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 + -191. Calculate the smallest common multiple of h and 52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 313102, 313066, 313030?\n\"Answer: -36*q + 313138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -323*l**2. Let s(y) = 431 - 431 - 30*y + 32*y. Calculate g(s(m)).\nAnswer: -1292*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 5 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 608124358479\/315039656050 - -2\/39135361. Let h = k - 1\/575. Calculate the common denominator of 1445\/10404*107*2\/(-10) and h.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**3. Determine v(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -41*d. Suppose 10 = 2*c, -u + 0*c - 7 = -c. Let n be k(u). Suppose -4*o + n = -58. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/26)\/((x\/(x*x*x**(22\/9)))\/x))**18 assuming x is positive.\nAnswer: x**(1067\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2534\/4*(-108)\/(-63). Let q be 3\/(f\/(-542) - -2). Let h be (-2)\/10 + q\/(-15). What is the highest common factor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**7\/6720 + 3*i**6\/640 - i**5\/40 - 37*i**4\/12 + 37*i. Let y(x) be the third derivative of b(x). Factor y(u).\nAnswer: -3*(u - 8)*(u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 + 130*z + 9. Let y(m) = 4*m**2 - 87*m - 7. Give -5*k(v) - 7*y(v).\nAnswer: 2*v**2 - 41*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.398013 millilitres in litres?\nAnswer: 0.001398013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440 - -20444?\nAnswer: 20004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-22)*(-2)\/(-5). Let c = -1 - -1.2. Let v be 4\/(-112) + 1\/(-4). What is the nearest to v in 2, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 - -88 - -17 - (0 - (1 + -1))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 3. Let d(g) = -2*g**2 - 13*g + 39. Let u(r) = 4*r**2 + 28*r - 77. Let c(v) = 5*d(v) + 2*u(v). Let w(k) = -2*c(k) + 6*s(k). Factor w(t).\nAnswer: 4*(t - 2)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -744\/487, 3, -6\/7, 3\/2?\nAnswer: -744\/487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1331)*-1 - sqrt(1331)) - (3 + sqrt(1331)*-2)) + 1 + sqrt(1331) + 2 + 4)**2.\nAnswer: -88*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27530, 55079, 82640, 110213, 137798, 165395?\nAnswer: 193004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21896, -86872, -194934, -346088, -540340, -777696, -1058162, -1381744?\n\"Answer: -x**3 - 21537*x**2 - 358*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33945 is divided by 1699?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 != -0.54343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -46826.\nAnswer: -1\/23413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 20 = 0. Solve -6*h = -2*a - 2*h - 6, -5 = -5*a + p*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**2 - 72*f + 72. What is g(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 96 = -139. Suppose -7*y = -k - 290. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d = 50*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 7556. Let h(b) = 72*b + 2. Give h(x(y)).\nAnswer: -216*y - 544030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/570 and 11\/54.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d. Let g(x) = -14*x + 2. Let a be g(-1). Suppose -8*y + 12*y = a. Let o(u) = 6*u**2 - y + 7 - 3. Calculate o(h(l)).\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3121 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 9 = 4*g, -4*o - 6*g = 7642 - 7688 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 5*k - 9 + 1 + k. Let n be i(-4). What is the highest common divisor of 32 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and (-50 - -2)*13\/((-780)\/165)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/21 + 29410376*v**2\/21 + 108121277057672*v\/21 = 0. What is v?\nAnswer: -7352594, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**2\/2 - 17. Let j(g) = g**2 - 7*g. Calculate 4*j(h) + 28*s(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(0 + sqrt(1872)))**2)*-3 - (-1 + (sqrt(1872) - (-4*sqrt(1872))**2) + ((sqrt(1872) - sqrt(1872)*-1)**2 - sqrt(1872))*2).\nAnswer: -74891 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = 5*f, 4*x - 6 = -4*f - 2. Let q = 7.4 - 7. What is the nearest to -1\/4 in 0.11, q, x?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13852.11 + -13796. Let w = 1.71 - o. Let m = 54 + w. What is the closest to 1 in -4, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39027?\nAnswer: 3, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16056, 64207, 144458, 256809, 401260, 577811?\nAnswer: 786462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 42\/7667 (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, w: 4, q: 1, y: 1, a: 1, p: 4}. What is prob of sequence ah?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/((3\/4)\/(-1)). Is 16 a factor of 126 - 5\/w*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 189\/18 + 1\/(-2). Let t = 11 - g. Let h be (-1)\/3*6\/(-4). Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(4\/3)\/(-4). Let x = -0.8 + 0.8. Let j = -0.52 - -0.02. What is the nearest to x in -4, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a factor of 1171536668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11347 is divided by 132.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6782, -13415, -20028, -26621, -33194?\nAnswer: -39747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(108) + 1 + 3 + sqrt(108))**2)*-3.\nAnswer: -1341 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*w**4 + 42393*w**3 + 85*w**2 + 30850*w - 171.\nAnswer: 72*w**2 + 254358*w + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 94. Suppose 0 = 4*l + 5*u + 2, 2*u + 4 = -3*l - 3*u. Suppose 0 = 5*k - l*k - 24. What is the remainder when k is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 17371047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1464 (base 10) to base 16.\nAnswer: -5b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - m**2 - 2*m**2. Let f = -9 - -19. Let j(n) = -2*n + 3*n + 10 - f. Give j(b(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*n + 3349 + 8943, 0 = -3*q + 3*n + 12297. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 139, 138, 137, 136?\n\"Answer: -i + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 4. Let i(h) = -1. What is -3*i(c) - u(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 4*n**2 - 22*n + 40. Let z be r(-8). Let t be ((-1)\/(4\/(-10)))\/((-92)\/z). Solve 5 = -5*j + 4*j, -t = c + 2*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s + 933680 = -8421862. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741*a + 3459 = 18396 + 2106 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2354984?\nAnswer: 2, 431, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -412 - -412.1. What is the third smallest value in a, -24, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*j**2*v**3 + j**2 + 348884*j*v**2 - 8002*v**3 wrt v?\nAnswer: -108*j**2 - 48012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1321 - 2023?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o*o*o**(1\/9)*o*o)\/o)*o*o)**(-49))**(8\/19) assuming o is positive.\nAnswer: o**(3920\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*q**3 + 2*q**2 - q**3 + 2 + q + 0*q**2 in the form m*q**3 + y*q**2 + h + a*q and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2299)*-1 + -3) + 2 + (sqrt(2299) + 0)**2 + 2.\nAnswer: -33*sqrt(19) + 2294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 14*i - 12 = 0. Let z be (8\/(-5))\/i + 0 + 1. Find j such that 3\/5*j - 3\/5*j**3 - 3\/5*j**2 + z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 6*c - 148. Let l be (-6)\/(-3)*(7 + 7). What is the tens digit of f(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -43*j + 47. Let u(r) = 9*r - 12. What is the least common multiple of u(14) and t(1)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2278437961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.847 - 0.053. Let p = 2.1 - s. Let a = p - 7.999946. Round a to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5315495 to the nearest integer?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-11))\/((-3305)\/(-110) - 30). Put 4, m, 60, 1 in ascending order.\nAnswer: 1, m, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 754 = -5*g, -2*g + 4*g = 5*s - 295. Let k = g + 212. Is 37 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75a9d6 (base 16) in base 13?\nAnswer: 179cb46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 650 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -16. Let i(x) = 279*x - 1393. Let g be i(5). Let v = 3 + -3. Solve -5*n + c = v, 6*n - n - 18 = -g*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (158\/553*(-7)\/12)\/((-2)\/12)*-23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 5039?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 110*p**2 + 281*p + 12. List the prime factors of b(8).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.6 (b) 6 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 13 + 5 + 2. What is x(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 16*f**2 + 28*f - 214. Give d(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 137, 132, 127?\n\"Answer: -5*s + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f. Suppose 4*a - 14 = -3*n, 4*a = 3*n + 2 - 0. Let d(r) = r**2 + 2*r**n + 4*r**2 - 8*r**2. What is i(d(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 47*o. Let t be b(-10). Suppose 273 = -17*s + t*s. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216400 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: b\"What is the dth term of -420, -482, -544, -606?\n\"Answer: -62*d - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6869129594?\nAnswer: 2, 3434564797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2243, -39.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 21. Let u be t + (1 + 0 - 3). Let w(z) = z**3 - 3*z**2 + 5*z - 6. Let m be w(u). What is m rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-320)*6\/45)\/(111\/(-111))?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 greater than 460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-21)*f**(-10\/3)\/f)**(3\/32))**(-11\/3) assuming f is positive.\nAnswer: f**(209\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102.9 - -97.9. Let t = 5.71 + -0.71. What is the fourth biggest value in 0.4, v, t, -4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2126010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 8. Does 5 divide (-1)\/(2*a\/54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from caftk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vovvvvvvoo. What is prob of sequence oovo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 = i - 5*y, 0 = -i + 5*y - 19. Suppose -l - i = -3*l. Suppose 3*v - 42 = -3*d, -d + l*v + 2 = -2*v. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4534820, -4534946, -4535072, -4535198, -4535324?\nAnswer: -4535450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 1352\/10 + 27\/(-135) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -2760, -6176, -10926, -16992, -24356, -33000?\nAnswer: -42906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.94 - 0.06. Let a = 0.59 - -0.11. Let k = -2.7 + a. Put 3, k, i in decreasing order.\nAnswer: 3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.028 + 2.512. Let p = 4.06728717 + -6.6072886. Let t = p + f. Round t to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 82. Suppose -b*j = -182 - 455. List the prime factors of j.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 7*b**6\/75 - 263*b**5\/100 - 11*b**4\/10 + 173*b**3\/30 - 19*b**2\/5 + 3*b - 71. Solve c(q) = 0 for q.\nAnswer: -1, 2\/7, 1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 312.6 + -313. Put -11, 2\/5, i in decreasing order.\nAnswer: 2\/5, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13287 divided by 19170.\nAnswer: -4429\/6390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-4 + (-98)\/(-24)). Let d = -39 - j. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/14 - (380\/56)\/(-5). Let j = -4 - -4.07. Which is the closest to j? (a) -0.4 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 5543?\nAnswer: 5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, 2\/11, -115, -6.35, -1\/4?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9257 is divided by 223.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.09 (b) -19 (c) 1\/8 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 6 = -0*q. Let w(y) = 2 - 17*y - q + 2 + 20*y. What is w(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-10)\/3*3. Let a be r\/(-8)*(-144)\/(-120). Factor 0*p**3 + 3\/2*p**4 + 0 + 0*p - a*p**2.\nAnswer: 3*p**2*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -334 + 318. What is the second biggest value in -0.4, 0, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 3. Let a = j - 55. Let p be (-4)\/16 + a\/(-4) + -3. Let w(z) = z**2 - 5*z - 1. Calculate w(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 13*a**2 + 14*a. Let w be u(-14). Let l(d) = -d - 2. Let g be l(-6). Let f = w + g. What is the lowest common multiple of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267220, -534256, -801292, -1068328?\nAnswer: -1335364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -225*r - 50427. Determine t(-224).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12.8. Let d = 32 + -33.3. Let h = d - -1.6. Which is the nearest to k? (a) 1 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 6*m + 4. Suppose -4*j - 4 = 2*c - 6*j, -5*c + j - 26 = 0. Let x be y(c). Suppose x*w = w + 633. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 5*d**3 + 9*d**3 - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:27 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 9*v**2 + 4*v + 9. Let x = 104 + -4. Let n = -92 + x. Determine g(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 5. Let p(i) = -10*i + 10. Let s(q) = 8*q - 10. Let c(g) = 5*p(g) + 6*s(g). Let x be c(b). Solve 2*z = -x - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1253\/358*40\/35\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43 - -16?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*p*u**2 - 2*d*u**2 + d*u + 4*p - 5*u**2 + u - 1 wrt u.\nAnswer: 4*d*p - 4*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from zmmzmzmmmzmmmz?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 191413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + j - 4*j = 17, -3*j - 21 = 3*r. Let q(l) = l**2 + 3*l + 1. Let m(v) = -v**2 + 5*v - 2. Let i be m(5). Let b be q(i). Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1754 + 1759. Solve 1 = x + h, -u*x = -x + 5*h - 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let o(w) = 2*w**2 - 3*w - 4. List the prime factors of o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a**2 + 60*a**2 + 303*a**2 + 805*a**2.\nAnswer: 1143*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144130.8745 rounded to the nearest one hundred?\nAnswer: 144100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, -0.5, 3, -0.1, 6244, -92?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(440) + sqrt(440)*2)\/sqrt(8))\/(1*sqrt(720)) - (-3 + (sqrt(275) - (0 + sqrt(275))) + sqrt(275) + -3)))**2.\nAnswer: -76*sqrt(11) + 4995\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m - 12. Let r(c) = -c**3 - 2*c**2 + 5*c. Determine r(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 430043?\nAnswer: -430032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 42 = -30. Solve 5*h - 3*h + 15 = -d*t, 0 = -t - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8213 and 39\/3629?\nAnswer: 156047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 101323?\nAnswer: -101310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 32195245060 to the nearest one million.\nAnswer: 32195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.152, 12\/35, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 231*m**2 + 14*m. Let g(h) = -h. Let a(n) = c(n) - 4*g(n). Is a(2) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 9:56 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -4 + 0 + 0. What is the units digit of (-260)\/(-40)*s*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81, -78, -73, -66, -57, -46, -33?\n\"Answer: u**2 - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316130942.\nAnswer: 2, 3, 7, 47, 666733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 72 + 678. Let t be 4\/6*o\/(-20). Solve -2*x - 2*y - 5 = -3*y, t*x = 3*y - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 + -5. Let d = -295 + 298. Which is the third biggest value? (a) d (b) g (c) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/15 - (-49114)\/195. Let p = 409 - y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*g**4 - 3*g - 3\/4*g**2 + 3*g**3 + 0.\nAnswer: 3*g*(g - 1)*(g + 1)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -603*c*y**2 - 1036*c - 304*y**3 - 578 wrt y?\nAnswer: -1206*c*y - 912*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) -5 (c) -3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 1980?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(16\/10)*1952\/2745. Which is smaller: j or -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -2\/45 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 7*v**2 - 5*v + (-3*v + 3*v + v)*(4*v - 2*v + 0*v) + (-3*v - 2 + 2)*(-12*v + 7*v - 7*v).\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -516*y + 4383. Calculate z(7).\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:51 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/13 in -0.2, -0.4, 0.4, 27, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7180242799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8726591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*z**4 + 36728*z**3 + 4705396*z**2 + 148482064*z + 48972560 = 0. Calculate z.\nAnswer: -62, -1\/3, 3185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/319 - -9305\/1914. Calculate the common denominator of 7467\/(-532) + 22 + (-1 - 5\/(-4)) and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*d**2 - 3960*d + 1404.\nAnswer: -3*(d + 78)*(17*d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:26 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*h = 196*h + 266. Solve -12 + h = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-280)\/(-84))\/((2\/(-9))\/(-1)). Let h = -14 - -35. Determine r, given that h - 21 - 3*r**3 + n*r**2 - 6*r**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3 + 30*u**2 - 93*u + 90 = 0?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**6\/15 - 11*u**2\/2 + 5*u. What is the derivative of r(p) wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0225, -3, -4\/11, -1 in descending order.\nAnswer: 0.0225, -4\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7013.\nAnswer: 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 159*u = 1272 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 4*a**2 - 5*a + 2. Determine f(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 32576 = 52*d - 5521. What is the remainder when d is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-644)\/(-805) + 114\/(-5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 3181, 10722, 25409, 49624, 85749, 136166, 203257?\nAnswer: 289404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Suppose -6*f + 56 = -2*f. Let s be (-2)\/f - 748\/(-238). Solve -7*t + y = -s*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -126076308.6?\nAnswer: 126076308.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 139*s = 575 + 1761. Solve 6*q - 2*q + s = 0, -o + 5*q + 24 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1159*p**3 + 105*p**2 + 4*p - 5. What is o(1)?\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -30397?\nAnswer: 30397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32008 divided by 669.\nAnswer: 32008\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4, -1, 7962, 1, -35 in ascending order.\nAnswer: -35, -1, 1, 3, 4, 5, 7962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 14468108990 - 14468108990.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 11*s**2 + 7*s + 95. Let n be b(-11). Solve n = 5*g - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {f: 2, r: 1, g: 3, z: 7, b: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1700 = -2*a, v + 0*a = 2*a + 425. Suppose -v = -2*d - 3*d. Suppose -d = -0*q - q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*sqrt(70)\/sqrt(2) + (sqrt(875) - 1*sqrt(875)))\/(sqrt(405)*-1).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 4*g + 6. Let x(p) = -3*p**2 + 10*p - 18. Let a(c) = -8*o(c) - 3*x(c). Calculate the remainder when a(-6) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 175*q**2 + 54184 + 2*q - 2*q - 53341 wrt q?\nAnswer: 350*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.323*2.6.\nAnswer: 0.8398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7187 + 7173. Suppose 3*h + h = -3*f + 19, -4*h + 17 = f. Let c be 82\/(-7) - h\/14. Which is bigger: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/(q*(q\/(q\/(q**(1\/9)*q)))\/q))**(3\/8) assuming q is positive.\nAnswer: q**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 313047*t - 7200092. Calculate w(23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18494175039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94533917 to the power of 1\/2, to the nearest integer?\nAnswer: 9723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 - 2*g**2 + g**2)*(-6 + 1 + 2) as d + q*g**2 + a*g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 118. Suppose -u = -2*s + 392, -3*s - o*u = -4*u - 575. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/9*5\/60.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4*(-16)\/(-42). Suppose -2*f = l - 5 + 7, -4*f = 5*l + 4. What is the closest to l in -0.5, j, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -108. Calculate the greatest common factor of 119 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -5, 74650, 120.6, 3\/2, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from nonnonnnnnn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 511 + -287. Let a = t - 132. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 935, 1735, 2479, 2951, 2935?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 28.9288.\nAnswer: -231.4304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 768 + -328. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 413, 578, 907, 1454, 2273?\nAnswer: 3418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-30))\/(26\/(-10162)). Let d = 980\/39 + t. Let b = 6011\/8 + -746. Find the common denominator of d and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -446 in decreasing order.\nAnswer: 5, 2, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1782 - -1790. Calculate the greatest common factor of r and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(55)\/((sqrt(132) - (sqrt(132)*2 + sqrt(132)))\/sqrt(12)) + (-2*sqrt(140))\/sqrt(7)).\nAnswer: -27*sqrt(5)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97b (base 15) in base 2?\nAnswer: -100001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 9*r**2 - r + 5. Let i be b(9). Let c be ((-5)\/4)\/(i\/(-16)). Suppose -3*z = -0*z + 12. Are c and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305 and 49116895?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -229604, -459117, -688630, -918143, -1147656?\n\"Answer: -229513*l - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/72655 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.758354 meters to millimeters.\nAnswer: 758.354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 479 + 205 + 51 + 142*o.\nAnswer: 142*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1614660 and 1614677 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*w**3 - 147*w**3 - 147*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + c**2 - 107 + 0*c**2 - 99 + 211. Determine r(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**4 - 2*q + 7. Let i(k) = 20*k**4 + 15*k - 50. Let w(v) = -15*g(v) - 2*i(v). What is the first derivative of w(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l + 2*l)*(l**2 - l**2 - 2*l**2) + (5*l + 3*l**2 - 5*l + (4*l - 3*l + l)*(l - l + 2*l))*(l - l + 3*l).\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 4*x**2 - 50*x + 144. Determine m(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/5*(-6 + (-110)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((2 + sqrt(304) - sqrt(304))**2 + sqrt(19))*4 - ((sqrt(114)*-2)\/sqrt(6) + sqrt(19) + 4*(sqrt(57)\/sqrt(3))**2))*-3.\nAnswer: -900 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 55.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*f**4 - 5 + 29*f**4 + 17*f**4 - 2*f**3 + 18*f**2 wrt f?\nAnswer: 1752*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 14. Let m be d(-10). Let s be 2\/m*(-14)\/(-49). Let k = 0.1 - 5.1. Which is the second biggest value? (a) k (b) s (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3 - 450*i**2 + 9532*i - 48480 = 0?\nAnswer: 8, 15, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72675451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 k when four letters picked without replacement from jobokkkk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11112110222 (base 3) to base 8\nAnswer: 256310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.008 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -268\/1365 - -26\/105. Which is greater: -30 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24478, -45607, -66736, -87865?\n\"Answer: -21129*c - 3349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -24. Suppose 4*b = z - 3, 27 = 5*z - 4*b - 4. Suppose -5*n = z - 2. Put -2, n, o in descending order.\nAnswer: o, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24876 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8325 = 2*k, 6 - 15 = -3*k. Suppose 6*d - w = 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 - -3 - (-82 + 248)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38760276*b*w**3 - 727*b*w**2 - w**3 + 51499*w**2 wrt w.\nAnswer: 232561656*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(396)\/sqrt(2))\/(sqrt(44)\/(sqrt(12)\/sqrt(3)))*-4 + 4)*-1)**2.\nAnswer: -384*sqrt(2) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44344 + 80307. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -210, -217, -224, -231?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-123 - -31)*2\/(-8). Suppose -3 - p = 26*j. Sort 4, 5, 2, j.\nAnswer: j, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88684, 91954, 95224, 98494, 101764, 105034?\nAnswer: 108304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 14*y - 4. Let t be b(6). Suppose -2*a = t - 28. Suppose q - a*h - 47 = 0, -3*h = -3*q + 12 + 156. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*q + 11 - 7 = 0, -1 = 5*r - q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203332573 to the power of 1\/2, to the nearest integer?\nAnswer: 14259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23689*b**2 - 50663*b**2 + 204594*b**2.\nAnswer: 177620*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*c + 55 = -204, 3*c = 2*w + 98. Let k = -20 - w. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*k - 83*k - 4*f - 28, 0 = -12*k - 4*f + 24. Solve x = 2*w - 6, -k*x + 10 = -4*w + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 103 + 285)*((2 + 2 - 2)*(2*h - 2 + 2) + (4 - 3 + 1)*(2 - 2 - 2*h) - 3*h + 0*h + 4*h) + 1 - 1 + h.\nAnswer: 255*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 182439 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:30 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279898 is divided by 49226.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 50*z**2 + 389*z + 593. Calculate o(57).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1472829 or -1472826?\nAnswer: -1472829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*13\/52*-8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)*g**3)**8 assuming g is positive.\nAnswer: g**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t. Let l(f) = 15*f + 30*f**2 - 37*f**2 - 15*f. Calculate l(d(h)).\nAnswer: -448*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-5 + (-15 - 1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.38244 - 0.3641. What is q rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13122808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29862*h - 9709 = -29351*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27 - 23*k**3 + 27 - 16*k wrt k?\nAnswer: -138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214730 and 480286.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**2 + 22*o**2 - 3*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**36\/l*l)**34*(l\/(l*l**35))\/l**(7\/8) assuming l is positive.\nAnswer: l**(9777\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**3 + 11*y**2 - 2*y + 17. Let d = 97 + -101. Let t(j) = -3*j**3 + 4*j**2 - j + 6. Calculate d*q(r) + 11*t(r).\nAnswer: -r**3 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p + 44*p - 70 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 20. Let q be f(-4). Solve q = 2*c + 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5443958 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -38*r + 244. Solve r*i = -c + 10, -5*i + 19 = -c - c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:07 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 20. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110022 + 112?\nAnswer: -1102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvn when four letters picked without replacement from vvuuunbnbuv.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/24)\/((-1)\/12*-2). What is the nearest to 2\/11 in -2\/37, 5, j?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0*s)**(33\/4)\/(s**(-2))**(-4\/15) assuming s is positive.\nAnswer: s**(479\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j + 6. Let t be q(-3). Calculate the highest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*35\/6*114\/(-5). Let z = 397 - v. What is the closest to 1 in 1, z, -1\/13, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = 6*r - r. Suppose 2*w = r - 11. What is the greatest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8340)\/(-240))\/(-139))\/((-1)\/(24\/13))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 121. Let f be p(-8). Is f < -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 - 2121020021?\nAnswer: -2121021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 817880, 1635755, 2453622, 3271481, 4089332?\n\"Answer: -4*s**2 + 817887*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*1)\/sqrt(2) - ((5 + 2*sqrt(17))**2 + 0).\nAnswer: -93 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 - 8. Let j be ((-14)\/(-35))\/((-2)\/(-70)). Let r(s) = s**2 - 1. Let o(a) = j*r(a) - 2*x(a). Let o(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -3*g - 3*j + 3, 5*g - 2*j = -9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8205.\nAnswer: 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.088 - -0.088. What is the closest to b in 0.3, -5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*q + 9 = -16, 4*x = -2*q + 26. Suppose -4*i - 193 = 2*r - x*r, 4*r = 4*i + 156. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(618\/(-412))*-27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2085133 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 4)*(52 - 52 + 3*d + (-2 + 1 - 1)*(2 - 3*d - 2)) as u*d + w and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulpltoq. What is prob of sequence ul?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309, -1199, -2683, -4761, -7433, -10699?\nAnswer: -14559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35837 or -35835?\nAnswer: -35837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-10))\/(2\/(-20)). Let f = t - 4. What is the lowest common multiple of 10 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000180818 rounded to seven decimal places?\nAnswer: -0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/96 + (-103859)\/3552)*12\/(-22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nln when three letters picked without replacement from lnnnln.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3 + 0 - 2 + 1 + (-2 + 0 + 4)*(-1 - 1 + 0) + 2 - 5 + 4)*(5 - 2 - 1)*(b + 0*b - 2*b) in the form j + s*b and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by (2\/(-6))\/((-7)\/483)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-q + 0*q + 3*q) + (4*q - 4*q + q)*(-6 - 2 - 8) as v*q + t and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1419*f**2 + 1442*f**2 - 1 + 1 - 2859*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*x + 5 = -63 - 316 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54108 divided by 36.\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 - 4. Let w = 64 - 22. Let m(o) = -3*o + 3*o - 11*o**3 - w + 33. Calculate -9*a(c) + 4*m(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 152.2465 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12005 - 62560*o - 12005 + 62552*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 9) to base 10.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 19. Suppose -41 = 5*q - 2*m, 2*m = -1 + 7. What is the units digit of g(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -58*a - a**3 - 10 + 58*a. Let q(o) = o**3 - 6*o**2 - o + 6. Let d be (4\/5)\/((-4)\/(-30)). Let n be q(d). Determine m(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 11. Suppose 2 = 5*y - a. Suppose 3*t - 3*s = -7*s + 43, -y*t = 2*s - 35. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*g - 467 - 485 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2)))**(-17\/5)\/((a*a**10\/a*a)\/((a\/a**(3\/7))\/a)) assuming a is positive.\nAnswer: a**(-162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-26 - 14)) + -41 - 52?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 12. Suppose 2*o + 8 - j = 0. Which is the nearest to -2\/3? (a) o (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070*x - 67*x - 27816 = 22*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 55. Give h(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*w - 37, -o - 11 = 3*w + 1. Let i(f) = -f + f**2 - 4*f - 1 + 3*f. Let s(k) = -k**2 + k. Give o*s(a) + i(a).\nAnswer: -2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-20)*g)\/g)\/g**(-29))\/(g\/(g*g**5\/g))**(-39) assuming g is positive.\nAnswer: g**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6406 is divided by 100.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-11 + 18 + -1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**6 - 235*i**4 - 3644*i**2 wrt i?\nAnswer: -240*i**3 - 5640*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62\/69 - -293\/92. Calculate the common denominator of j and 45\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283.9 - 34.1. Let z = k - -318. What is the fourth biggest value in 2\/7, z, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*a - 204 = 244. Let w(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + 3*k**2\/2 + 11*k - 1. List the prime factors of w(a).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 20 = -3*h - 2*m, 0 = -5*h + 5*m - 5. Let f = 20 + h. Calculate the highest common divisor of f and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3154 divided by -83.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115378069*y**3 - 93*y**2 + 1083241.\nAnswer: -692268414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(-2*(1 + sqrt(833)) - -3*sqrt(833)*1)*5)**2.\nAnswer: -100800*sqrt(17) + 3013200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 6. Let o be k(-8). Let a = o + -15. Suppose -a*t - 10 = -2*g - 5*t, 0 = 4*g - 2*t + 4. Which is smaller: g or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-7) - (1 + 5115\/21). Let q be u\/(-15) + (-4)\/12. Suppose -2*p - 4*d = q, 2*d + 12 = -7*p + 4*p. Is -11\/5 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 90*v + 695. Give q(-7).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24 (b) 1\/4 (c) 6 (d) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 10. Let o = 7 + g. Which is the nearest to 1? (a) -3 (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 512187140 + -5?\nAnswer: 512187134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373 is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(117) + 5)*-5)**2.\nAnswer: 1050*sqrt(13) + 4150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 1:43 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (365\/146)\/(3\/(-72))*(-3)\/(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3822, -7380, -10938, -14496?\n\"Answer: -3558*v - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5 + 5 + 2*p**2. Let v(u) = -25689*u + 4 - 3 + 25714*u. What is v(o(j))?\nAnswer: 50*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l = -r + 1217, 0 = -3*l - 3*r - 1209. Is 14 a factor of l\/(-5) + 2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 27*s + 12. Let z be h(-27). Let o be -3 + (1 - (1 + 1)). Let m = z + o. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (61 - 59)*(-485)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5 - 4*j**2 - j**2 + 4*j**2. Let h be q(0). Suppose -45 - 25 = -h*a. Solve 3*y - 2 = 2*f, -2*y + 4*f + 2 = a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s - 4*x, 0*s = -s - 4*x + 11. Let o = 29 + -26. Suppose o*a + 4*j - 405 = -2*a, -3*a + 211 = -4*j. What is the highest common divisor of s and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1948 + -3454. Let b = 1442.7 + w. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 + 55*r + 54 = 0. What is r?\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -2 + 0 + -9. Let v = a + 10. Find q such that -3 + v*q**2 + 6 - 2*q - 3 - q**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -34*f**2 + 3*f + 21. Suppose 0 = 2*z + 3*w - 1, 2*w - 6 + 0 = 0. Let t be l(z). What is t rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9639328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2735 - 7013. Suppose -14*z = -17128 - o. Is z 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) -0.2 (b) -2.67 (c) -10 (d) -1 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748918 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w - 4*d = 47, 0 = -5*w + 3*d - 30. Let f be (-3)\/w*-2*81\/18. Which is the second smallest value? (a) 0 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 33. Let a be s(7). Let k be (-4350)\/(-20)*(-18)\/a. What is the second derivative of k*z**2 - 783*z**2 - 22*z + 28*z**4 wrt z?\nAnswer: 336*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2 = -3*z, -8 = 4*b - 0*b - 5*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*n - 123 = 0, 5*n - 141 + 382 = 2*k. Calculate the highest common factor of 288 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 4*g - r, 18 = 3*g - 3*r. Sort 2, 0.09, g in descending order.\nAnswer: g, 2, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3) - (-81)\/99?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from uuxuuuuuuuxuuuuuuuuu.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - c - 3 = -6, 5*c = 5*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**2 - 19*m**5 - 68 - 44*m - 12 - 25 - 27*m. Differentiate d(w) wrt w.\nAnswer: -380*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 36*j = 550. Let y = 81 - 65. Calculate the lowest common multiple of j and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*z + 12470, 42*z + 6246 = 43*z + 3*y. Does 27 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944113317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -87456, 1, -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 3*i + 13. Let q(a) = -9*a**2 + 5*a + 27. Let j(c) = 5*f(c) - 2*q(c). Let w(k) be the first derivative of j(k). Determine w(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.019289 - -8.\nAnswer: 10.019289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Let n(t) = 2 + 2*t - i. Let c(s) = s. Give n(c(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 3979*w**2\/2 - 5034*w + 3918. What is the derivative of n(y) wrt y?\nAnswer: 3979","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**6\/360 + y**4\/3 - 2*y. Let w(q) be the third derivative of l(q). Let a(x) = 2*x. Give w(a(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let p(z) = 0*z + 1 + 2*z + z + m. Give p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 + 208*u**2 - 964*u + 1128 = 0. What is u?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -175*l + 112. Let m be u(-9). Suppose 0*w - w + 2*h + 553 = 0, -h = 3*w - m. List the prime factors of w.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Suppose -s - 1 = -2. Suppose -t*j + 7 = s. Let r(u) = -u**2 + u + 1. Let y(x) = x**3 + 11*x**2 - 11*x - 11. What is j*y(w) + 22*r(w)?\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**5 + 24*x**4 + 76*x**3 - 114412*x wrt x?\nAnswer: 40*x**3 + 288*x**2 + 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2057470655.37 - 38331070.63. Let p = z - -2095801709.00000013. Let v = -17 - p. Round v to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a hour in minutes?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**2 - 14 - 13*x + 6*x**3 + 20*x + 3*x**2 - 7*x.\nAnswer: 6*x**3 + 18*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 6447?\nAnswer: -6431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37242936 and 432.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/25 - 548*i**2\/25 - 27968*i\/25 + 277248\/5.\nAnswer: -2*(i - 30)*(i + 152)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238528 is divided by 1888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/20361852 and -41\/18.\nAnswer: 20361852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 12*g**2 - 7*g + 52. Let j be i(-10). Let r = 78 + j. Is r != -2\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxlv when four letters picked without replacement from {l: 1, v: 3, w: 4, x: 1, a: 2}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let u(b) = 24576*b + 512. Let x(z) = 49*z + 1. Let y(d) = -6*u(d) + 3072*x(d). Give y(g(l)).\nAnswer: -6144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41487, -83113, -124739, -166365, -207991?\n\"Answer: -41626*s + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (6 + -6 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - (3 + 2 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-5 - 2*a + 5).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148032 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 15176*k**2 - 2 - 14791*k**2 - 15177*k**2 + 45146*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 4*y - 2*y. Let c(n) be the second derivative of -115*n**4\/12 + 774*n. What is c(w(j))?\nAnswer: -115*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30515 and 201977.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 297932705 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9938418 micrometers in meters?\nAnswer: 0.0000009938418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4. Let l be 2 - (3\/3 + a). Let y be ((-1000)\/l)\/((-3)\/(-9)). Round y to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**2 - l**2 - 111 - 224*l - 23 - 91 + 6*l**2 = 0.\nAnswer: -1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Suppose 13*m - 19 = 7. Let d(o) be the second derivative of 1\/6*o**3 + 0 + 0*o**m - o. Calculate d(k(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (67650\/594 + (-300)\/(-27) + -11)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878 + 419 - 6*q + 282 + 177.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6328 - -6318. Which is the second biggest value? (a) 2 (b) 4\/9 (c) -2\/11 (d) g (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -330? (a) -10\/7 (b) -2\/5 (c) 0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 68, 2, 12804 in increasing order.\nAnswer: -5, 2, 68, 12804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -53*s + 480. Let p be w(9). Solve -c = -2*h, 3*c + p = -2*h - 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 464 and 12576160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/11, 0.06, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r - 21184391 = -30291021 - 48880370. Round r to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight ninths of a day in minutes?\nAnswer: 9280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*o - 308812 = -311296 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 106. Let o be a\/(-1 - (4 - 4)). Solve q - 3*q + 10 = -2*r, 3*r + q - 5 = o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/((-1659)\/6399*16\/28).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209750 divided by -4839?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.22.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 2. Let h be 3\/(-1 - (-10)\/4). Let s(d) = -6*d - 17. Let a(f) = -f**2 - 5*f - 16. Let t(c) = 6*a(c) - 5*s(c). Determine h*t(o) + 11*x(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98388 (base 10) to base 2.\nAnswer: -11000000001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 254499 and 21721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002908 rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 13*i - 1378 - 1376 + 2754 + 15*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 21*x - 11 + 23*x + 19 - 8.\nAnswer: 2*x + 31","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 12. Let o be a(-10). What is the derivative of -1 + 0 + 2 + o + w**4 wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1906 - -1910. Calculate the highest common divisor of j and 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337807 a multiple of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 5*d**2 + 1\/6*d**4 + 0 - 16\/3*d**3 + 0*d. What is the units digit of u(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 525\/12*((-16)\/17)\/(40\/(-68))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r - 13. Let m(d) = -2*d + 1. Let j(v) = 13*m(v) + u(v). Let t(c) be the second derivative of c**4\/12 + 6*c. What is j(t(b))?\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/(1485\/6270) - -7. Which is bigger: k or -5987?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11844 is divided by 308.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l + 23. Let f(a) = a - 6. Let c(i) = 9*f(i) + 2*x(i). Let u be c(4). Let w be (17 - 18) + 7\/u. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:22 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4362 smaller than 4360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**7\/525 + f**6\/300 + 3*f**2\/2 + 3. Let p(t) be the second derivative of h(t). Factor p(q).\nAnswer: 2*q**3*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32254 (base 8) to base 5\nAnswer: -412414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2016 = 4*l - 1052. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10637 + -10633. Solve -6*j + 9*j + 21 = 3*z, -r*z = -2*j - 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -478 + 503. Let n be 37\/2 - 12\/8. Find z such that z**2 + n + 60*z + 7*z**2 - a*z**3 + 7*z**2 + 3 = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 - 8*v - 2. What is c(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 1\/4, -5, -0.3, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 443400.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a + 3*g = -18, -16 = 4*g. Let j(h) = -2*h + 2. Let w(r) = 1. Let f(l) = a*w(l) + j(l). Let d(t) = -2*t. Give f(d(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*p + 38915 + 34382 = -30377 + 25903 for p.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.5 - 60.5. Let f = -80.1 - j. Which is the nearest to 1\/2? (a) f (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 6, 4, -8, -36?\n\"Answer: -g**3 + 4*g**2 - 3*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 738?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.191638 + 0.1909. What is g rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*v = -334*v + 32*v + 24272 for v.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -3*a**2 + 29 + 0*a - 1\/3*a**3. Determine x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 148\/93*(-72)\/64. Which is bigger: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z. Let r(g) = -76*g. Give b(r(l)).\nAnswer: 228*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-35) + (-3)\/((-3360)\/148). Which is greater: j or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 62*u**2 - 40*u**2.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29892 (base 10) in base 16?\nAnswer: -74c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -77, 2, 1, 1\/8, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 916108*a**2*z + 307959*a**2 wrt z.\nAnswer: 916108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -535\/8 - -67. Let y be 5\/(-75) + 65\/(-150). Sort 0.5, y, t in increasing order.\nAnswer: y, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:38 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-105)*3 - 1720\/(-7). Let f be ((-5)\/6)\/((-18)\/54)*l. Suppose f = 10*h - 825. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11500*k + 252955. Calculate q(-22).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1255 - 1255. What is the second smallest value in 4\/9, -3\/2, -5, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/6 - 217*s**4\/6 + 1061*s**3\/6 - 191*s**2\/6 - 745*s + 636 = 0.\nAnswer: -2, 1, 3, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 34\/5 of a millisecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46231 or 785930\/17?\nAnswer: 46231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2, 42, -5.\nAnswer: -5, -4, -3, -2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 19539 (b) -0.5 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -69*z**3 + z. Let q be j(1). Let s = -202\/3 - q. Suppose -8\/3 + 0*x + 2*x**2 - s*x**3 = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -12*d**3 - d**2 + 2*d + 2. Let v(l) = -l**3 - l**2 + l. Let g(k) = -i(k) - 2*v(k). List the prime factors of g(2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1510 - 1514. Let u(v) = 5*v + 13. What is u(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-4)*144\/84. Let c(p) = -p**2 - 18*p - 67. Let x be c(r). Solve 4*u = 4*j + 16, 0*j + 4*u = -x*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 10*g**2 - 17*g - 10. Let f be s(-8). Let n be ((-1900)\/133)\/(f\/7). Let t = 87 - n. What is the greatest common factor of t and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 120.986.\nAnswer: 120.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.9. Suppose -3*h + 18 = -12. Suppose h = -v + 8*f - 3*f, -2*v - 8 = -4*f. Which is the third smallest value? (a) v (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -611.06 + 603. Let s = 8 + o. Let h = s + -0.002. What is h rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -78?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15780 + 15775.5135. What is s rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q. Let r(g) be the third derivative of g**4\/12 - 40*g**2. Let b be 0\/2 + 2 + 1. Suppose 3*m + 0*m = b, 2*t = -2*m - 8. What is t*r(o) + 2*l(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 17. Suppose 523 = -u*i - 152. Let c be -2*(i\/6)\/9. What is the greatest common divisor of 55 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 5*m**2 - 12*m + m**2 + 3*m**2. Suppose 5*z - 6*z = 8*z. Suppose 15*y - 32 = 5*j + 11*y, z = -5*y - 10. Give q(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 12*w + 13. Let s be k(10). Let x be (s - -7) + 260 + 0 + 0. What is the remainder when (9\/18)\/(1\/x) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -12, -43, -4, 5, 12 in increasing order.\nAnswer: -43, -12, -4, -1, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 22 - 36*x to the form d + o*x and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 6*y - 5. Let u be v(7). Let t be (-8)\/u*3 + -2. Suppose -5*z - 3*b + 310 = t, 4*z + b + b - 250 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 589245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 + 9*i - 2*i - 7*i. Let d(h) = 5 - 6 + 1 - 4*h**2. Determine m(d(n)).\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1005107052 * -0.1.\nAnswer: -100510705.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 255. Let n = -36 + x. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 1. Suppose 3*g - c = 4*g - 5, 3*g = -5*c + 19. Let j be k(g). Suppose -j*l + 26 = -4*f, -2*l + 4*l - 14 = f. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-4) + (-3)\/(-6). Let m(r) = -r**2 + 7*r + 1. Let a be m(7). Put a, u, -4 in increasing order.\nAnswer: -4, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/1015)\/((-1)\/(-15)*3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1. Let p(s) = 11*s + 8. Let m(b) = p(b) + 5*z(b). Let y(g) = g. Let h(d) = -m(d) + 4*y(d). Differentiate h(i) wrt i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25487 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-261)\/27 + 10 - 2. Let u = -7\/27 + -107\/108. Which is the third biggest value? (a) -5 (b) u (c) l (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36155836 to the power of 1\/2, to the nearest integer?\nAnswer: 6013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044408 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1188685 + -2419685. Round i to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/9*1*-3. Suppose 4*h = -2*l + 38, 5*l = h - 3 - 1. Suppose 0 = r - h - v. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 = -3*c, -l - 2*c + 1 - 5 = 0. Suppose p = -2*h + 4*p - 3, -h = -2*p + 3. Suppose 2*x + 3 = h*x. Solve l*w - 5 = x*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmkmk. Give prob of picking 1 m and 2 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 23) + 5 - (-17 - 3)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7994, -7637, -7292, -6965, -6662, -6389?\nAnswer: -6152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u**3. Let v(n) = -n**2 + n**2 + 11*n**3. Let b(p) = 7*p**2 - 35*p - 6. Suppose -7*y = -8*y + 5. Let f be b(y). Determine f*v(k) + 7*t(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 + 14*j - 4. Calculate v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/435 and (7 + 91\/49)\/(-174).\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*m**3 - 9*m**2 - m + 24*m**2 - 8*m**2 - 9*m**2 as v*m**3 + q*m**2 + g + s*m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 250*r - 254*r - 8 = 0, 2*j - 3*r = -5. Which is the biggest value? (a) 2\/9 (b) 846 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*d - 1, 4*i + 10 = -27*d + 25*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**2*u**2 + 198*l**2*u + 329*l**2 - l - 3*u**4 wrt u.\nAnswer: -2*l**2*u + 198*l**2 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607 - 220 = 43*j. Suppose -4*w - 40 = -10*g + j*g, 4*g - 5*w = 193. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378 - -381. Suppose -m - 5*b - 16 = 0, -2*b - 35 = -0*m + 3*m. Let g = 13 + m. What is the highest common divisor of g and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + 4.503?\nAnswer: 4.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**4*x - 118*d**3*x - 59*d**3 - 45*d**2*x + 504*d**2 wrt d?\nAnswer: 72*d*x - 708*x - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 22*i - 22. Let n be j(-21). Let v be (-7 - (-128)\/18)\/(n\/6). Sort v, 34, 4.\nAnswer: v, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 859968874129 and 0.\nAnswer: 859968874129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86450 and 8246?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 n, and 1 z when three letters picked without replacement from {z: 4, t: 2, n: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 151*c + 3574 + 42 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - sqrt(133)*-2*-6)\/((sqrt(28) + sqrt(7))*-3)*2.\nAnswer: 22*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001111100100110 (base 2) in base 9?\nAnswer: -121747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 159 + -158 + (7 - 5) + -98.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ed (base 16) to base 10.\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) 4 (c) 1\/2 (d) 4.1994 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 29150514?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.155446282 to four dps.\nAnswer: -0.1554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyllylyllllyl.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -6. Let x be (4 + i)*-1*1. Solve -3*b + 2*b = -x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -209.4, 0.2329?\nAnswer: 0.2329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s + 714\/5 - 6\/5*s**2.\nAnswer: -6*(s - 17)*(s + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Let s be 1459\/2 + o\/(-2). What is s rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*z + 105188 = -605*z + 10900 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/3, 1, 147\/20, -2\/355 in increasing order.\nAnswer: -2, -1\/3, -2\/355, 1, 147\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.007 + 0.007. What is the second biggest value in -0.6, m, 2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -15. Suppose 3 = -2*r + w, -j*r + 2 + 11 = 2*w. What is the least common multiple of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:21 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84231289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p = -99*p - 360 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (14 + -14 + 11 + -3 + -1)) + 21.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 324, -0.2, -8, -16, 2, 0.054?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 + 8*g**3 - 18*g**3 + 4*g - 3*g**3 - 4*g - 5 + 5 + 2*g**3 + (-2*g**3 + 3*g**3 - 3*g**3)*(-1 - 4 + 3).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 290 - 147. Suppose -m + w = 41. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 871 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1277322 and 37359?\nAnswer: 26823762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-7))\/(24\/(-112)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1111111001001000110 (base 2) to base 11\nAnswer: 3262a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(-2*sqrt(48) + (-5 + sqrt(24)\/sqrt(8) - sqrt(3)))**2.\nAnswer: 80*sqrt(3) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(21\/7)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvvmvtwttcwttvftftt. Give prob of sequence tmv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(18)*-5*-6 + sqrt(648)*-6.\nAnswer: -18*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*x - 11080 = -331*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.676557 days?\nAnswer: 663254524800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-26 + 20 + -4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 6*i = -396. Calculate the remainder when i is divided by ((-216)\/20)\/((-2)\/5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.415 rounded to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 254 - 253.996145. Round f to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605539482.\nAnswer: 2, 3, 181, 239, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-5))\/b**(6\/5))\/(b**(1\/5)\/b*b\/b**(-3)))**(-28) assuming b is positive.\nAnswer: b**(-224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(6)\/sqrt(2) + sqrt(3))*1.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -826166*o**2. Let y(n) = -n. Calculate y(t(c)).\nAnswer: 826166*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**3\/3 + 3*f**2\/2 + 14*f + 36. Calculate q(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1130073 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -840*v - 630. Let x(y) = y + 1. Let w(a) = -m(a) - 630*x(a). Let h(b) = 9*b**2. Calculate h(w(u)).\nAnswer: 396900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, -35, -330 in increasing order.\nAnswer: -330, -204, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4333581 divided by -4333581\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-28) + 940\/7. Suppose 0 = -2*r + k - 50, -5*r + 5*k - n = 1. Let j = r - -33. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9111*(-4)\/84*-7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7119135877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4 + (-2)\/((-6)\/(-87))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -21\/71 (c) -0.1 (d) 10266 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*w + 65 = 0, 26130*m - 26183*m - 608 = 5*w for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Let k be ((-1)\/1)\/(m\/16). List the prime factors of k\/8*(-62)\/1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1344276\nAnswer: 268855.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83113236?\nAnswer: 2, 3, 439, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-7) - 32\/(-56). Which is bigger: 21\/17 or d?\nAnswer: 21\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 9. Let f be 6\/u*(-175)\/(-42). What is the third smallest value in f, -5, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2690 - -2690.02245. Round r to 4 decimal places.\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 894 = -a + 2*d, 3*a = -3*d + 2646. List the prime factors of a.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b - 2291?\nAnswer: -22ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, m: 1}. Give prob of sequence uu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 360*o.\nAnswer: -360*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24292 = -57*z + 131680. Calculate the greatest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 19*d - 14*d, -3*d - 8 = 5*s. Let a(r) = 5*r - 3. Let i(x) = -14*x + 9. Calculate s*i(p) - 11*a(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*b + s - 6, 4*b + 4*s = 24. Let h(j) = 0 + 13 - j - j. Let a be h(5). Solve -z = -a*z - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -8, -1, 3449 in increasing order.\nAnswer: -8, -1, 3, 5, 3449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -528, -785, -1038, -1287, -1532, -1773?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -237, -496, -793, -1140, -1549, -2032, -2601?\n\"Answer: -2*k**3 - k**2 - 216*k + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34337\/1518 + -54\/253. What is the common denominator of t and -1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82648 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**3\/3 + 9*o**2\/2 - 8*o - 1. Let a(u) = -u**2 - 7*u - 6. Let t be a(-4). What are the prime factors of j(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/13, -0.329 in increasing order.\nAnswer: -3, -0.329, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**3)\/(h\/(h*h**(-9)*h)))\/(h*h**(-17)*h**(-4\/9)) assuming h is positive.\nAnswer: h**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*j = 55, 47 = 3*i + 2*j - 24. Is 46 a factor of 10515\/i + (-6)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.73 + 55.27. Let t = r - 54. What is the closest to t in 0.1, 0, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/14)\/((-16)\/(-112)). Solve -d = -5*r - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8019.7 - 8020. Let i(k) = -k - 6. Let z be i(-5). Sort r, z, 0.5, 7\/3 in increasing order.\nAnswer: z, r, 0.5, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {h: 1, m: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*p = -10, -t = -p + 2 - 0. Suppose -2*d + 10 = -t*d. Solve 5*x - i = 3*i - 4, -d*x = i + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-3 - 2) - (7 + -3). Suppose -f = u + 4, 4*u = -f - d + 5. What is the least common multiple of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1522 (base 9) to base 5\nAnswer: -14104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -5, -1, 0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23028*o = -23004*o - 48. Suppose 4*a - 4*z = 64, -4*a = -5*a - 5*z - 8. Solve 0*d + 16 = 4*d, -a = 4*f + o*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.1425 and 413.\nAnswer: -2123.8525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcxtctaaattcc. Give prob of picking 1 a, 1 x, and 1 c.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:05 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/(m\/m**4))\/m)*m**1*(m\/(m\/(m**(-1)*m)))**13 assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r*u**3 - 10*r*u**2 + 38*r*u + 4*r - 51150*u**3 - 62*u + 20 wrt u.\nAnswer: -6*r*u - 20*r - 306900*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/3)\/((-1)\/(-61860)). Let q = -813820 + n. What is q rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 7*o**2 - 7*o + 1. Let t be p(-6). Suppose -4*c + 3*c = x, x = 4*c + 15. Solve 2*z = -i + 6 + x, z - t = 2*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/30 - 3\/(-6)*-3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from rriiriirrv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4236630 divided by 141221\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 13 + 0 - 31 + 53 - 5*i**2 - 7.\nAnswer: -5*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24367, -48749, -73155, -97585, -122039?\n\"Answer: -12*p**2 - 24346*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 - 517 + 185 - 406 - 817 + (3 - 2 - 3)*(1 + 3 - 6))*(9 - 9 + 5*q).\nAnswer: -8360*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*-4*(-66)\/(-704)*16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746 + 751 - 398*t + 396*t.\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2826287 milligrams?\nAnswer: 282628.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 44*l**7\/105 + l**5\/60 - 3*l**3 + 101*l**2 + 2*l. Find the third derivative of z(j) wrt j.\nAnswer: 2112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/14 - -1)\/((-210)\/1512)\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 56*l - 301 = 4*v + 561, -3*v + 15 = 0 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16182, -34955, -56322, -80283, -106838, -135987, -167730?\n\"Answer: -1297*f**2 - 14882*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)*(-1 + -1). What is the derivative of -h - 13*w + 13*w - 10*w**2 wrt w?\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17106 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2287 - -2319. What is the lowest common multiple of p and 580?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259718206?\nAnswer: 2, 37, 460087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663901907 to the power of 1\/3, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28299 - 62270 + 2227 = 1539*v + 24005 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 613, 615, 619, 625, 633, 643, 655?\n\"Answer: v**2 - v + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7920) - 1*sqrt(7920)) + sqrt(7920) - sqrt(7920))\/(-2*sqrt(320)*-2) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 32*i**2 + 3*i + 3. Let v(x) = -2400*x**2 - 224*x - 224. Calculate 3*v(a) + 224*y(a).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:02 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 6\/29, 0.1, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 13. Let y be u(-9). Let q = -254 + 299. What is the highest common divisor of y and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -2, -53 in increasing order.\nAnswer: -53, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-25)*-515 - -5. Calculate the highest common factor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u + 1. Is t(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25190 is divided by 764.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 7*i + 13. Let d be -6*(6\/3)\/2. Let b be w(d). Suppose 2*r + 5*q - b = 0, 2*q = -4*r + 146 - 20. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*h - 95, 383 = -11*h + a - 60. Let i be 10\/h*-44 + -7. Find m such that 0*m**2 + 0*m - 1\/6*m**3 + 0 - 1\/12*m**i = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112785 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111 + -10?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*d**3*f**4*p - 2*d**3*p + 6*f**4 - 12*p wrt f.\nAnswer: -476*d**3*f**3*p + 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/10*(-8456)\/(-35). Suppose 2*i - x = 2*u, 3*u + 129 = i - 169. Does 53 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.21 + -2.79. Sort -2\/57, z, 5 in decreasing order.\nAnswer: 5, -2\/57, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/3))**21)**38\/((y**1\/(y**1\/y))\/((y*y**(-2\/13))\/(y**6*y))) assuming y is positive.\nAnswer: y**(13739\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 6*p. Let i be w(-6). Let b(c) = c**2 + i*c**2 - 2 - c + 0 + 4*c. Suppose 0 = -5*x - x - 18. Give b(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1774 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:57 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 437*h**2 - 1 + 264*h**2 + 2 as k + q*h**2 + a*h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064 divided by -56.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 440 + -425. Solve -2*q = -5*q + a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.009 and -10263403?\nAnswer: -92370.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/15*(-30)\/(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 13302\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-28)\/(8736\/6024)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 9921*n**2 + 8392224*n + 312384852.\nAnswer: 3*(n + 39)*(n + 1634)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**3\/3 + 2*k. Let n(a) = 209*a + 211*a - 422*a. What is n(t(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 21960*r + 40186800.\nAnswer: 3*(r + 3660)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 9*x - 3. Let f be l(-5). Suppose 0 = -f*r + r + 58. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/145386 and -9\/113078?\nAnswer: 1017702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*j*l + 3*j*t**2*y + 61*j*t*y + 3*j*y + 317*l*t**2 + l*y + 16*t wrt l?\nAnswer: -82*j + 317*t**2 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(1\/22)*t\/((t**21*t)\/t)*t)\/(t**(-5))**(-8))**50 assuming t is positive.\nAnswer: t**(-31325\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2561 = -105*f - 1826 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 7*f + 23145. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 11*a**2 + 4*a - 53. Calculate c(-12).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372851808?\nAnswer: 2, 3, 7, 554839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02706, -7\/2, 3, -0.0642?\nAnswer: -0.02706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - 10. Let m = c - -139. List the prime factors of m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cec + -16?\nAnswer: cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 7*l + 5. Let o be v(-7). Suppose 28 = o*t - 37. Factor -i + 3 - 7*i**3 + t*i**3 - 3*i**2 - 5*i**3.\nAnswer: (i - 3)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.6 (b) -2\/19 (c) 8\/11 (d) 0 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 141704850 or 141704849?\nAnswer: 141704850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 95 = 45. Let u be j\/((-1)\/(2\/(-4))). Let y = 3 + -3. Solve -6*w = -u*w - k, y = -2*w - 2*k - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v, -18 = -s + 5*v - 63. Let i be 14\/(-10) + (-8)\/s. Let f(k) be the second derivative of 7*k**5\/20 - k**3\/6 - k**2\/2 + 41*k. Determine f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1190*j**4 + 2714 wrt j.\nAnswer: -4760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/7192012 and 97\/35960060?\nAnswer: 35960060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 96 + -7a5?\nAnswer: -70c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/6)\/(-40)*(-3)\/(90\/(-16)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 6*r - 2. Let y be m(2). Calculate the highest common factor of 18 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + sqrt(80) + -2*sqrt(80) + 4 + 1 + (2 + sqrt(80))*-3*5 + 0.\nAnswer: -60*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**3 + 2*c**2 - 1. Let q be v(1). Suppose 0 = 5*d + 2*y - 12, 3*y = -q*d + 4*d + 5. What is the remainder when 2 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 b, 1 o, and 1 e when four letters picked without replacement from ebbok.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-3) - 36\/(-3). What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/10720 and 7\/18224.\nAnswer: 182240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(22)\/(sqrt(72) + sqrt(2) + sqrt(2)) - (sqrt(77)\/sqrt(7) + 2)))*-5.\nAnswer: 35*sqrt(11)\/8 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.1 (b) 4 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 19 = 0. Suppose -2*l + 5*l - s = -2*t, 5*t - 25 = 0. What is the second derivative of 3*a**5 + 5*a**4 - l*a - 5*a**4 + 0*a**4 wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - -44)*4\/(-10). Find the common denominator of (-154)\/16 + 1\/(-2) and -2 - (-1059)\/(-210) - r\/35.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/((-66057)\/2270). What is the second biggest value in n, 1.2, 5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 30, 4, 242 in decreasing order.\nAnswer: 242, 30, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/(-117) - (-187550)\/(-3432))\/(1\/(-3)). Is k at most as big as 163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - k**2 + 3*k**2)*(3 - 6 - 11).\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312627 is divided by 87398?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -335.82104731 + -0.074.\nAnswer: -335.89504731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -292.4 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + o - 19, 699*r - 698*r + 10 = 2*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 211*i**2 + 3*i - 1. Let d be s(1). What is the common denominator of (d\/40)\/(15\/20) and (-146)\/12 + 2\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28759.369 and 25269.\nAnswer: -3490.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 + 3*h - 5. What are the prime factors of o(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1144947, -1144882, -1144815, -1144746, -1144675?\nAnswer: -1144602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j - 18*j - 29*j + 888*j**2 + 71*j.\nAnswer: 888*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7768763*y + 7768763*y - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 2*sqrt(77)*3)\/(sqrt(756)\/sqrt(3)).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 - 1845*x**2 + 867725*x - 2586435 = 0. What is x?\nAnswer: -641, 3, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 76968?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let p(l) = -l**2 + 151*l + 2279874. Calculate p(i(t)).\nAnswer: -t**2 + 151*t + 2279874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -244 - -243.769. Let t = -0.3 + 0.1. Let f = t - k. Round f to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let s be w\/(-8) - (-10)\/24. Factor 0*k - 1\/6 + s*k**2.\nAnswer: (k - 1)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 9 - (-21 - (21 - -59)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Suppose -5*k + 4*t + 95 = 0, -5*k = -4*k + w*t + 10. Suppose i = -4*i - k. Is i equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b - 3*b**2 + 5*b. Let q(l) be the third derivative of 7\/60*l**5 + 0 + 0*l**4 + 0*l - 86*l**2 + 0*l**3. What is g(q(y))?\nAnswer: -147*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4666 - -75733?\nAnswer: 102621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (814*l - 1622*l + 17 + 812*l)*(2*l - l + l)*(-4*l**2 - l**2 - 2*l**2).\nAnswer: -56*l**4 - 238*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -37, -4.\nAnswer: -37, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3744 and 22.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n - 32. Is (-4)\/16 - 666\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09165 - -1.09165. Sort 3, 1.53, q, -0.08, 5 in ascending order.\nAnswer: -0.08, q, 1.53, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1957 and 4427?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 30*p - 134 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7620952 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2708.979924 - -2709. Let g = k + -0.02. Round g to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 4*f**2 - f + 5. Let z = 70 - 50. Suppose 0*s + 3*s + 5 = -2*r, 4*r - z = 0. Let o = s - -9. Determine k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*h + 3*h. Suppose -4*l + h = -0*l - 5*x, 2*l - x = 5. Let s = 0 - -2. Is l equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -828*p + 13246. Let f be b(16). Let h = -10 - -15. Sort -5, f, h, 1 in decreasing order.\nAnswer: h, 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -22. Let a = -53\/2 - f. Suppose 2*w + 3*d = -9, 5*w + 2*d + 2*d + 12 = 0. Is a at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-6)*(-2)\/1. Let w = -4.7 - -5. Let p = -1.3 + w. Which is the second smallest value? (a) d (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02108294284 to 4 dps.\nAnswer: -0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 88 = 3*r, r - 2*r = -2*s + 36. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - -12. Let q = -15171\/20 + 758. What is the common denominator of 7\/(-6)*36\/p and q?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*g + 2*g. Let a be 3*(24\/(-9))\/g. Suppose -21 = -2*v - 3*y, -a*v - 2*v - 3*y = -39. Solve 6*m = 3*m + v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*v**3 + 5*v**4 + 47*v**3 + (-4*v + v + 4*v)*(2*v**3 - 5*v**3 + 4*v**3) - v**4 + 5*v**4 - v**4.\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8649, 17020, 25123, 32958, 40525, 47824, 54855?\n\"Answer: -134*x**2 + 8773*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 675*r - 1345*r + 4*r**2 + 670*r - r**2. Let s(t) = -3*t + 2. Let y(l) = -3*l + 3. Let w(a) = 3*s(a) - 2*y(a). Give w(o(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i**3 + 5709*i - 3*i**3 - 36*i**2 + 0*i**3 - 5710*i)*(-3*i**2 + 5 - 5).\nAnswer: -24*i**5 + 108*i**4 + 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 26 = z. Suppose -r = -z - 5. Let q = r + 169. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22926767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 17*y + 68. Let d be q(6). Factor 308*u**2 - 3*u + u - 322*u**d.\nAnswer: -2*u*(7*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -37*x + 2132. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1211 + 0.6211. What is the second smallest value in 6, 0.09, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95))\/sqrt(5) + (sqrt(171)*-2)\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Let b(v) be the third derivative of v**5\/60 - v**4\/6 - v**3\/6 - 48*v**2. Give b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w - 83 = 63*w - 827 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/10)\/(p\/p**4))**12*p**(-8)\/(p**(-3\/2)\/p)*(p\/((p\/((p*p\/(p*p**(1\/4)*p)*p)\/p))\/p*p))**10 assuming p is positive.\nAnswer: p**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-774)\/(-12)*2\/3. Calculate the highest common factor of p and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19112 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019727592 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19191 + 14837. Is t smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = i - 2*u, -i + 4*u - 45 = 21. Let f = i - -272\/5. Which is the third smallest value? (a) 4 (b) f (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 35 = -33*j + 28*j, 4*v + 2*j - 70 = 0. What is the greatest common divisor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2293, 8\/7, -2\/13 in ascending order.\nAnswer: -2293, -2\/13, 0.3, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 9)\/(-3)*(-22)\/33. Solve -5*l - 12 = 3*s, 0 = 4*s - j*s - 5*l + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 2*h**3\/3 - h**2 + h. Let z(f) = -31*f + 17. Let u(r) = -57*r + 31. Let k(x) = 4*u(x) - 7*z(x). Calculate -3*k(d) - 8*l(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1127*w**4 + 447*w**4 - 298*w**4 + 0*w**3 - 2*w**4 + 0*w**3 + w**4 + w**4 - w**4 + (3*w**2 - 2*w**2 - 3*w**2)*(-2 + 2 + w**2))*(0 + 2 - 1).\nAnswer: -981*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 8. Let f be (-13 + -3)\/s - 0. Suppose 2*a = -f*d + 22, -d - d - 8 = 0. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 27 + 7 = 0. Suppose -5*s = -7*s + p. Let m(d) = d**3 + 30*d**s + d + 0*d**3 + 0*d - 37*d**2 - 8. Give m(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6452785 is divided by 586604?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4361393*g**2 + 172373*g.\nAnswer: -8722786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - s - 47 = 0, 3*v + 17 = 2*v - 2*s. Let m be (-44)\/v*1\/4. Solve -1 = 2*k + m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.19729l?\nAnswer: 71197.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 135. What is the tens digit of 5\/j + 1*382\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 27. Let b = -4 + o. What is the derivative of -2*r**3 + 2 - b + 4 wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.80612 rounded to 1 decimal place?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*u**3\/5 + 144*u**2\/5 + 254*u\/5 + 84\/5 = 0. Calculate u.\nAnswer: -1, -6\/13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + j)*(-4*j**2 + 3*j**2 - j**2) + (j + 3 - 3)*(-6027*j**2 + 5879*j**2 + 16366*j**2).\nAnswer: 16216*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67941\/922 or -73?\nAnswer: -67941\/922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 165643.8052 + -165708. Let r = -0.1052 + a. What is r rounded to 0 decimal places?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -138 in 3, 0.5, -1\/5, 6\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 17898020*p**2 + 178980575*p - 447451750.\nAnswer: -5*(p - 5)**2*(p + 3579614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.945658 millilitres?\nAnswer: 0.001945658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67115.\nAnswer: 5, 31, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -67*t + 3561. Let z be y(48). Let f(a) = -29*a**3 - 4*a - 3. Let v be f(-2). Let p = z - v. Calculate the greatest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 1147.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71816 is divided by 5066.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.8 - -1.2. Let h = -10 + r. Let n = -0.1 + 0.3. Are h and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3937\/24435 - -22\/135. Which is bigger: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c - 157*c + 156*c - 36*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(1\/2) - -29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from bblbfbcbff.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.6 + 38.4. Put u, 2\/7, -5 in increasing order.\nAnswer: -5, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90 in 5, -2, 0, 207\/14, 0.9?\nAnswer: 207\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 18*p**2 - 204*p - 3675. Determine g(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*m - 10, -5*b + 25 = 2*m - 5*m. Let w be (0\/m)\/(1 + 1). Find the first derivative of -19*n - 8 - 15*n + 40*n + w wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 125688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-9\/4)*v*v*v*v**(2\/17)*(v\/(v*v*v**(-2\/3)))**(1\/13))**(-19))**9 assuming v is positive.\nAnswer: v**(-278445\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173044539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 108842 times 4915?\nAnswer: 534958430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) + sqrt(119)*1)*5 + sqrt(119))\/sqrt(7))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 3954*n + 81711 = 0 for n.\nAnswer: -1297, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5794, 11921, 18060, 24217, 30398, 36609?\nAnswer: 42856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -b + 29, 2*b + 7 = -4*l + 35. Let x be ((-144)\/b)\/((-3)\/140). Let a = x + -221. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*a**2 - 5*a**5 - 3*a**5 + 19*a**2 wrt a?\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnqqkkfknknkk. Give prob of sequence nqx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/77 + 7\/11. Let m = 8 - 2. Let y = m + -1. Which is the closest to f? (a) y (b) 2\/19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05621 and -7719112.29?\nAnswer: 7719112.34621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c - 3. Let t = c - -3. Let i be (3 - -22)*(t - 0). Solve -2*b = -7*b + i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(66)*-2*6)\/(sqrt(6) + sqrt(216)*-4)).\nAnswer: -15 - 60*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 714335 + 357145 + 357190.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kddk when four letters picked without replacement from {d: 14, k: 2, x: 1}.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqzqgjgjaaggqa. Give prob of sequence qq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0, -4, 5 in increasing order.\nAnswer: -27, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4097.73 grams in kilograms?\nAnswer: 4.09773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**3 + 70004*l**2 + 138161740*l - 1637096145348 = 0?\nAnswer: -10579, 3657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/17 - 16980*v**2\/17 - 169650*v\/17 - 424000\/17 = 0.\nAnswer: -8480, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, 132, 3, -149.\nAnswer: -149, -2, 3, 28, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 36*l + 137. Let j be b(-4). Let t(w) be the third derivative of j*w**2 - 1\/60*w**5 + 0*w + 0 + 0*w**3 + 0*w**4. Let m(p) = -p. Give m(t(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Let d = p - 1. Suppose -d*o + 6 = -o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/60*3)\/(((-14)\/(-147))\/((-160)\/(-140)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 7*c**2 + 16*c + 16. Is w(8) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 11. Let w be x(-15). Suppose 2*r - 22 = w. Let j = 10 + -6. Solve -i + r = -3*t + j*i, 5*i - 17 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 7*h**2 - h + 23. Let i be u(7). Calculate the greatest common factor of 40 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*0.47\nAnswer: -12.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 223, 5 in descending order.\nAnswer: 223, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 13*q - 23. Let n be y(5). List the prime factors of (n\/(-2) - (-24)\/12) + 1489.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19307 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1423073\/16283796 - -39\/17177. Calculate the common denominator of t and 3\/44.\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-24))\/((((-1488)\/936)\/(-31))\/((-8)\/2)).\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.99. Let b = 0.02 - r. Let d = 1.03 - b. Which is bigger: 0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*a**2\/5 + 4236*a\/5 + 14784\/5.\nAnswer: -3*(a - 112)*(13*a + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 61*i - 2*i**4 - i**3 + 58*i + 1 - 121*i to the form x + y*i + r*i**3 + h*i**2 + b*i**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 494149139*u**3 + 206272503.\nAnswer: 1482447417*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 - 2*z - 4. Let o(l) = -31*l**2 - 9*l - 18. Let b(x) = 9*j(x) - 2*o(x). Let m(i) = -306*i. Give m(b(y)).\nAnswer: 306*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 1, -3, 5, -5.\nAnswer: -5, -3, 1, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 627.861, -9.\nAnswer: -9, -2, -1, 627.861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2. Let x(n) be the first derivative of 161*n**2 + 114. Give x(c(l)).\nAnswer: -644*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6513 - -14093. Let b = t - 777. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a80 - -c6ab?\nAnswer: 1345b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l + 2. Give h(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -2718 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.1 (c) 6.7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1118961 and 1367619.\nAnswer: 12308571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 2. Calculate s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2365 - a**3 - 2365 + 436*a**2.\nAnswer: -a**3 + 436*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 18*s + 5. Let w(c) = 17*c**2 - 22*c + 22. Let f(b) = -3*b**2 + 4*b - 4. Let p(h) = 11*f(h) + 2*w(h). What is p(y(k))?\nAnswer: 324*k**2 + 180*k + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/(-40)*(0 - -65). Let a = 461 + s. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -280 + 779. What are the prime factors of n?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:08 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25177 and 2329?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -650 + 727.2. Let k = 77.4 - a. Sort 6.5, 5, -5, k in decreasing order.\nAnswer: 6.5, 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23814\/343)\/(-54)*-7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -47, -99, -189, -329, -531, -807?\n\"Answer: -2*z**3 - z**2 - 9*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132245868.\nAnswer: 2, 3, 263, 41903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:54 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*f**4 - 11564*f**3 - 298688*f**2 + 254612*f + 55440 = 0. Calculate f.\nAnswer: -20, -9\/50, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137\/14 + 19\/2. Is a > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17296696 is divided by 113?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26795707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 321, 456, 597, 750?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9358*o**2 + 521*o**4 + 9358*o**2 - 1958 - 520*o**4)*(-3*o + 3*o - 2*o).\nAnswer: -2*o**5 + 3916*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from dccctctcccccdcctc?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -40 (c) 1\/8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miis when four letters picked without replacement from {m: 2, i: 3, s: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7968225 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 6. Let u(i) = i - 62. What is -6*d(c) + 3*u(c)?\nAnswer: -3*c - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313290 is divided by 78317.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 75. Suppose 5*y + 2*h = a*h + 26, -4*y - 5*h = -15. Calculate the greatest common factor of y and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14b8a3 (base 14) in base 15?\nAnswer: -e4508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/11 (b) -1\/2 (c) -0.09 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 7}. Give prob of sequence yx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 14\/(-7)*(-279)\/6. Suppose -9 = 10*j - r. Solve -j*v + 3*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*v - 2*v - 3*v)*((-2 + 1 - 1)*(12*v**2 + 21 - 21) + 3*v**2 + v**2 - 2*v**2) to i*v + q*v**2 + h*v**3 + x and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 less than -600.45?\nAnswer: -777.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**7\/21 + 5*w**4\/12 + 4*w. What is the third derivative of x(p) wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 + 46*l**3 - 27*l**2 - 6036*l - 2?\nAnswer: -24*l**2 + 276*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170 divided by 15?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w. Suppose w = 2*o - 50 - 22. Calculate the greatest common factor of o and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*n - 4*h, -h - 4 = -3*h. What is the highest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-24)*(8\/(-5))\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chho when four letters picked without replacement from {h: 8, o: 1, c: 2, u: 2}.\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvv when three letters picked without replacement from {k: 1, n: 1, q: 1, v: 2, l: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 15075*k.\nAnswer: -5*k*(k + 3015)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {z: 3, u: 1, p: 1, y: 4, o: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25\/2*t + 11\/2*t**2 + 13\/2 - 1\/2*t**3 = 0. What is t?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 52. Let c(r) = -r**3 - 3*r**2 + 3*r - 3. Let b be c(-4). Suppose -2*x = -i - b, 0 = -2*p + x - 98004. What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -639960*x**2 - 3537*x - 47 wrt x.\nAnswer: -1279920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**4\/12 - 8*w**3\/3 - w**2. Let m be b(-8). Suppose m = v - 1397 - 403. What is v rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396) + 1)) + sqrt(396) - (sqrt(99))**2*-4.\nAnswer: 6*sqrt(11) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23105227420 + -0.59.\nAnswer: -23105227420.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -60451?\nAnswer: 3\/60451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*m + 465*m - 3*x = -31, 2*m = -4*x + 32 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47113*g**3 + 4*g + 1 - 47110*g**3 + 4*g**2 + 0*g**4 - 2*g**4 to y + n*g**3 + a*g**4 + j*g + r*g**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 2. Suppose -2*a = -0*c + k*c - 29, 4*a - 70 = 2*c. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*((sqrt(363)*1 + sqrt(363))**2 - sqrt(363)) + -3 - -5*((0 + sqrt(363) + -5 + sqrt(363))**2 + sqrt(363)))*-3.\nAnswer: -13430 + 3069*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/10 + 5*v**3\/3 - 18*v**2. What is the derivative of a(g) wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -910, -10550, -26614, -49102, -78014, -113350, -155110?\nAnswer: -203294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 48, 20, -26, -90, -172, -272?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 23*w**6\/24 - w**5\/60 - 95*w**4\/4 - 221*w**2. Find the second derivative of r(j) wrt j.\nAnswer: 690*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681486 is divided by 240.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Factor -a**2 - 45066619*a + 45066620.\nAnswer: -(a - 1)*(a + 45066620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 2. Let h be a(-2). Let c = 1235 - 721. Let o = c - 514. Solve o = h*k - 2*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30909320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 60. Suppose 8*q - 2*q - i = 0. Suppose -3*f = w - 24, 5*w - 44 = q*w + 5*f. Calculate the remainder when 29 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -203. Let s be (-2)\/(-4) + (-1635)\/6. Let a = l - s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3215 (base 6) to base 4\nAnswer: -23123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 7*b**4 + 32090*b**3 + 36814083*b**2 + 83997224*b + 20994724 = 0.\nAnswer: -2291, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/155, -0.06, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/((-3)\/(-56)). Suppose -26*l + 25*l = d. Find the common denominator of 35\/4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.71 + -3.9. Let n = -0.01 + i. Let q = -0.3 + n. Which is the third biggest value? (a) q (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k - 4. Suppose 1 = -6*d - 5. Let q be n(d). Which is smaller: 8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4884 - -29221\/6. Suppose 5*j - 64 = -5*v + 3*j, 2*v = 4*j + 16. What is the common denominator of (v\/30)\/((-24)\/(-250)) and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 158 (b) 0.2 (c) 24\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4491 = -0*w - 3*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2 + q + 2*q)*(-4 - 7 - 1).\nAnswer: 12*q + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/31, 5, 3, -3 in decreasing order.\nAnswer: 5, 3, 3\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1972 or 3941\/2?\nAnswer: 3941\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -13*k**7\/210 + 11*k**3\/6 + k**2 - 5. Let f(j) be the second derivative of w(j). Find the first derivative of f(o) wrt o.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, 0, -75, -157\/5 in ascending order.\nAnswer: -75, -157\/5, 0, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -63 - -1490\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 1\/4, 1148, 0.0473, -4?\nAnswer: 0.0473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7553, -8301, -9423, -10919, -12789, -15033?\n\"Answer: -187*n**2 - 187*n - 7179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8619\/20 - 2132\/5. What is the common denominator of v and 61\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7269 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1, 45 in descending order.\nAnswer: 45, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 6*r**2 - 61*r - 20. Let g be o(-11). Solve 9*z = -g + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 5.99914. What is s rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f = -3*t + 11, 0 = t + 3*f + 3. Suppose 7*p - 24 = -t. Factor 4*a**3 + a**3 - 2*a**5 - 5*a**3 + 2*a**p.\nAnswer: -2*a**3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 7) in base 2?\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17913 or 18072?\nAnswer: 17913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4\/17))**12)**(-24))**(17\/4) assuming m is positive.\nAnswer: m**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115188800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:54 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 7*u + 9*u**2 + 13*u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 68?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3403 - 4)\/(53\/(-2809)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2695)*2)\/(sqrt(125) - (sqrt(125) + -4*sqrt(125))) + 4).\nAnswer: 7*sqrt(11)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {k: 1, v: 14, s: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24189, 96677, 217491, 386631, 604097?\n\"Answer: 24163*g**2 - g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -31*j + 469. Calculate w(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/18*(21\/(-4305))\/(((-16)\/24)\/(-2))\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a16 + -1?\nAnswer: 6a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-665)\/(-133) + -13 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2 - 54*b + 16. Let c be r(-8). Suppose c = -16*p - 4*p + 1340. What is the remainder when 133 is divided by p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 169470714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 182\/6*(-10 + 13). Let j be ((-52)\/c)\/((-4)\/14). Put -2, j, 118 in increasing order.\nAnswer: -2, j, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**6\/72 - 5*o**4\/24 - 5*o**3\/9 + 33*o**2\/2 + 31*o. Let g(b) be the first derivative of j(b). Solve g(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/8*(-87)\/5 and 33\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 10:01 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let k(a) = a**2 - 7*a - 7. Let z(u) = 4*u + 1. Let o be z(5). Let x(i) = -i - 1. Let q(t) = o*x(t) - 3*k(t). Give j(q(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59.1 + -311.1. Let g = k + 252.2. Which is the second biggest value? (a) -2 (b) g (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -14*y**3 + 3*y**2 - 3*y - 1. Let q be g(1). Let n(v) = v**3 + 15*v**2 + 4*v + 61. Let z be n(q). Let a be 7\/(-1*(-1)\/1). Solve 4*k + a + z = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 8*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 10:16 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 355909403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1 + 8 - v - 7 + 0*v. Let c(l) = 87*l + 1. Give h(c(g)).\nAnswer: -87*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2097090\/34520)\/((-9)\/(-12)*3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (154\/3)\/(0 + (-8)\/(-12)). What is the greatest common factor of w and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 5*g**2 - 4*g + 7. Calculate h(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let k be 18\/(-9) - (-2 + w). Let t be 1\/2*(-4)\/(-10). Which is greater: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1775*g + 1777*g = -4*i - 10, 4*g = i - 47 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 i when four letters picked without replacement from {j: 9, g: 1, i: 9}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-2\/5)))**45*j**(-2\/9)\/(j**(2\/3)*j) assuming j is positive.\nAnswer: j**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*q**2 - 141*q + 546.\nAnswer: -3*(q - 2)*(22*q + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194273\/11 - -17661. Which is the nearest to 45? (a) 4\/5 (b) p (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*d, 3*w + 9*d + 6 = -0*w - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522, 1027, 1586, 2223, 2962?\nAnswer: 3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 16. Suppose 7*m = 10*m. Let b(o) = -o**3 + o**2 + 2*o + 6. Let j be b(m). Let a be u(j). Calculate the highest common divisor of a and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/5, 2, -291?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7527*f**2*l**3 + f**2*l + 4818*f**2 + l**3 + 6347*l**2 + 2*l + 15559 wrt f?\nAnswer: -15054*f*l**3 + 2*f*l + 9636*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 549.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*f + 12. Let s(r) = -r**2 - 6*r + 6. Let h be s(f). Let w be 7*1 - (27 + -25). Solve -w*q - h = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/375 and 1\/(-825)*-1667 + 6*(-24)\/72?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523885437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 22 = -2*h, 5*y - 5 = 2*y + 2*y for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 67*g**2 - 44*g - 21. Is 82 a factor of z(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*n - 40, 3*n - 7 = 5*v + 1. Solve -6*i - n = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2)*(-1 - 0). Let v be c\/(-72) + 4\/18. Let t = 19\/5 - 4. Sort -3, v, t in decreasing order.\nAnswer: v, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 368305742 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2035, 1886, 1705, 1486, 1223, 910, 541?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7*p - 10 = 0. Solve -5*q = 5 + p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1274 (c) 5 (d) 0.7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -3*c - r, -9 = 2*c + r + 47. Let z = -25 - c. Suppose -5*p = -z*p - 28. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3\/4 - 33*n**2\/2 - 3*n + 66 = 0. Calculate n.\nAnswer: -2, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2336941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 7)*(-41*l - 11*l + 7*l)*(4 - 4 + 5*l)*(-1 + 2 + 1) in the form k*l**2 + z*l + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 - -3. Let n = r + -2. Let w = -1.5 - n. What is the third biggest value in w, -0.5, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*u + u**2 - 3974 + 838 - 2*u**2.\nAnswer: -(u - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*b + 72 - 27, 2*a = -2*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -47. Let o(p) be the second derivative of 0*p**5 + y*p**4 + 1\/15*p**6 - 5\/2*p**2 + 4*p + 0 + 0*p**3. What is the first derivative of o(s) wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268 + 258. Let z(k) = -25*k**3 - 41*k**2 + 8*k + 14. Let w(c) = -9*c**3 - 14*c**2 + 3*c + 5. Let y(f) = -11*w(f) + 4*z(f). Give y(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318132693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195453143\/456 + 428625. Find the common denominator of 43\/912 and v.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5164?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230101884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 (base 11) in base 8?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 807*a**3 - 3*a.\nAnswer: 807*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101735, -103565, -105395, -107225, -109055?\n\"Answer: -1830*y - 99905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 971*o - 1 + 173*o**3 + 0 - o**2 + 0*o**2.\nAnswer: 173*o**3 - o**2 - 971*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118826 and 47329?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - u**3 + u**3)*(2781 + 2875 - 2*u - 5299) + 0 + 2*u**4 + 0.\nAnswer: 6*u**4 - 714*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -128720\nAnswer: 1\/64360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 579*c*z**4 + 2*c*z**2 + 23569*c - 14*z**3 with respect to z.\nAnswer: 2316*c*z**3 + 4*c*z - 42*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3\/9 - 272*s**2\/9 + 30*s = 0?\nAnswer: 0, 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45130 + -13?\nAnswer: 45113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -203*l - 5. Let r(c) = -189*c - 6. Calculate -4*d(o) + 3*r(o).\nAnswer: 245*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fa1 (base 16) to base 13.\nAnswer: -1a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-3)\/3)*-1. Suppose 5*p - p = -4*k, 0 = -4*k + 3*p. Which is greater: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2209.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 2014 - 194 = 0. Let t = -134 - w. Sort t, -3, -2.\nAnswer: -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (195*n**2 - 85*n**2 + 37*n**2)*(0 + n + 0 - n**3) - 2*n**5 - 2*n**5 + 2*n**5.\nAnswer: -149*n**5 + 147*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1213 (base 5) to base 14.\nAnswer: -d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozoo when four letters picked without replacement from {z: 3, o: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1031661654 + 0?\nAnswer: -1031661654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**7\/1260 - j**4 + 6*j. Let l(u) be the third derivative of z(u). Let x(f) = -6*f. What is l(x(k))?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 9, 0, -9, -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/1020 and ((-988)\/6720 + (-5)\/(-35))*(-3540)\/90.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0014 + -2.0314. Let s = 2.02999728 + y. What is s rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 1502368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197168 + 49*u**3 + 163*u**3 - 197172.\nAnswer: 212*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-1 - -3) - -2) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-8*5 - 4). Let t = 106 + o. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -24, 27\/4, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-3*i + i + 0*i)*(-188*i + 47*i + 58*i) as z*i + n + k*i**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 78*s**2 - 6106. Give t(77).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1620240864 to the nearest 100000.\nAnswer: 1620200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 6*b**2 - 2*b + 8. Let s be n(-6). Let o = 18 + -31. Let m = 23 + o. Calculate the greatest common divisor of s and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -876, -2542, -5298, -9144, -14080?\n\"Answer: -545*j**2 - 31*j - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k**4 - 18873*k**3 + 18081336*k**2 - 5472979317*k - 2741012352 = 0 for k.\nAnswer: -1\/2, 741, 1664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89 - 89) + (1 + -1 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 44 = -3*z - 14, 5*z = 5*b + 20 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03873467 + 1040.68.\nAnswer: 1040.71873467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15978*q*x**4 - 45637*q*x**2 + q*x + x**4 wrt x.\nAnswer: 383472*q*x + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3 + -13 + -2. Let u be (n\/10)\/((-4)\/10). Suppose u*w - 2*l = -12, w + 4*l - 7*l = -8. Which is the nearest to 1\/2? (a) -3 (b) w (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4698 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 6*z**3 + 2*z**2 + 6*z.\nAnswer: -2*z*(z - 1)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c - 30 = -51*c. Let j(o) be the second derivative of -o**5\/20 - o**4\/4 + o**3 - o**2\/2 - o. What is the units digit of j(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(39) + sqrt(156)))\/(sqrt(3) + (sqrt(3) - (3*sqrt(192) + sqrt(192) - sqrt(192)) - sqrt(3)))*3.\nAnswer: 45*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 12*s = -3*a + 51236, 2*s - 3*a - 25618 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 21 - (-33 - -24 - -97)) + -14?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*f + 0*f + 5.\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16614432 (base 7) to base 6.\nAnswer: -55010023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:12 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 + 148 + (8 + 1 - -2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 9:03 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6030716, -24122896, -54276532, -96491624?\n\"Answer: -6030728*u**2 + 4*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1934 - 2925 = -k - 278. List the prime factors of k.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)*-6)\/(4*sqrt(18)\/sqrt(3)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 12*g + 17. What is l(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 s when four letters picked without replacement from {s: 4, y: 2, g: 10}?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 13\/3*o**4 + 0*o**2 + o + 0 - 33\/10*o**5 + 7\/6*o**7 - 4\/3*o**3 - 77\/30*o**6. Let j(k) = 0. What is k?\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 10*c**2 + 6*c + 5. Suppose 0 = -4*k + 3 + 13. Let t(q) = -q**3 - 11*q**2 - 6*q - 6. Let d(r) = k*t(r) + 5*y(r). Determine d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 3 + 0 - 1 - 2*s + 0*s**2 in the form z*s**2 + i + c*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -987 + 988. Which is smaller: -0.042 or h?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-14))\/2)\/(240\/(-70))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*g = 85*g - 910. Calculate the smallest common multiple of g and 55.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 18*z**2 - 6525458*z**3 + 5*z + z**4 + 6525458*z**3 to the form l*z**3 + f + b*z**2 + q*z + w*z**4 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1147171, -1147184, -1147197, -1147210, -1147223?\n\"Answer: -13*b - 1147158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 4) + 3550 + 1. Let g = 586078\/165 - m. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92250766.\nAnswer: 2, 197, 234139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/20 + r**4\/12 - r**2\/2 + 19531*r. Let s(n) = 2*n**3 + 4*n**2 + 3*n - 3. Suppose 4*m - 1 = 11. What is m*z(g) - s(g)?\nAnswer: g**3 - g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 789299980 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -28*k + 1264. Which is smaller: 82 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696981.\nAnswer: 3, 379, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lgllccgcll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((3*sqrt(15))\/sqrt(3) + sqrt(5) - sqrt(50)\/(sqrt(10) - sqrt(360))).\nAnswer: -1 + 42*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 2*h. Let v = -6635 - -6627. Which is the biggest value? (a) v (b) h (c) 1\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*z - 26370 + 18097 = 25693. Solve -4*v - 240 = -q - z, 4*q = 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(240) + sqrt(240))\/sqrt(12) - sqrt(20)) + sqrt(20) - sqrt(140)\/sqrt(252))\/((sqrt(250) - sqrt(250)*-4)*1*-3).\nAnswer: -29*sqrt(2)\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v - 13. Let g(p) = -7*p - 15. Let a(w) = 6*c(w) - 5*g(w). Let b be a(-2). Let n = -0.641 + 0.061. Is b greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let h(p) = p**2 + 2. Let d(m) = -h(m) + 2*q(m). Give d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = a + 50, -23*j = 7*a - 151 + 537 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 4*c**2 + 0*c**2 + (0*c - 2*c + 0*c)*(-c - c + 0*c))*(-3*c + 3*c - 4*c**3).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2 + (-356410)\/475832. Let s = 2\/2051 - r. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2 = 2*z, -622 = -5*b + 5*z - 612 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3178183 (base 11) to base 13.\nAnswer: 1208c64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*z + 8*z - 8*z)*(5 + 0 - 6)*(-68*z + 5*z - 58*z).\nAnswer: -4235*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose 3*y = c + 791, c + t*c = y - 269. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -16*m. Let d(g) be the third derivative of -23*g**5\/60 - g**3\/6 + 37*g**2 - 2. Determine d(s(n)).\nAnswer: -5888*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) -3 (c) -2981 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1080*m = -1085*m - 3*p - 30, 0 = 3*m - 2*p + 18 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 9 + -55 + -11 + -5 + 32\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n - 54 + 53 = 116 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:35 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, y: 3}. What is prob of picking 2 t?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) + (-43)\/(-5). Let v be 11\/3 - 1\/(-3). Suppose 7 = v*i - 9. Solve -i*o - x = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1637 - -1632. What is the nearest to 1\/4 in -0.5, f, 20\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 3*n + 2. Let r be q(2). Let f be (2 + r)*60\/24. Solve -8*g - 2*k = -3*g, 33 = 4*g - f*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11949.585 - 11949. What is c rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f. Suppose 4*c + f*c = 0. Solve 5*y + c*y = -5*b + 20, -9 = 3*b - 4*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -676031, -1352065, -2028099, -2704133?\nAnswer: -3380167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-25)\/i**(3\/11))**(-13\/5) assuming i is positive.\nAnswer: i**(3614\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442353688.\nAnswer: 2, 7, 53, 103, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 2 - 15*d**2 + 8*d**2 to x*d**2 + f + w*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*n = -2*n - 114, -76 = -2*z + 2*n. Let i = z + -22. Calculate the least common multiple of 6 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -47\/22 (b) -2\/17 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4877 - 1.4152868\nAnswer: 4875.5847132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -34*z**2 + 3. Let y(m) = -341*m**2 + 31. Let h(q) = 31*d(q) - 3*y(q). Let t(p) = -700 - 606 - p**2 + 1306. Calculate h(t(u)).\nAnswer: -31*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from {p: 3, x: 4, m: 1, b: 3, i: 2, t: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/734*391\/9. Let d = j - 3291787\/987597. Let h = d - -46\/13. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 - 13 = y. Let a = 384 - y. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/329 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.33 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/1232)\/((-4)\/(-14))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -852574\/77 - -33218\/3. Calculate the common denominator of b and 91\/6.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-251)\/((6 + 6)\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -457 - -460. Which is the closest to 2? (a) j (b) -2\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, 4 in increasing order.\nAnswer: -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4701 = 85*d - 24081. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.44 to zero dps.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1114*m + 12327. Determine o(11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -956*h + 955*h + 1. Which is bigger: 36\/7 or h?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 364.47237 and -0.5.\nAnswer: -182.236185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*k**2 + 3 - 18 + 13*k**2 + 13 as l + s*k**2 + b*k and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 12. Suppose n*z = -z + 140. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 - -38 - (21 - 4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/2, 1, -3, 3\/4, 9 in descending order.\nAnswer: 9, 13\/2, 1, 3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/((-18)\/(-20)) + -4. Let g(d) = -d**2 + 3*d + 1. Determine g(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 19*b + 210. Give z(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 11*a + 1. Let v be h(5). Let j(u) = -u**3 + 6*u**2 + 3*u. Calculate j(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 4\/(4\/(-3)). Suppose -3*p - 5*b + 16 + 19 = 0, p - t*b + 11 = 0. Suppose 2*n = 2*z + z - 21, -p*z + 60 = 5*n. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 6*a + 2. Let c be b(-7). Let u be 8\/36 - 56\/c. Let g(z) = -z**3 - 5*z**2 + 6*z + 1. Let d be g(u). Is d >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814812022.\nAnswer: 2, 47, 1801, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 5 - -42 - (2 - 1) - (-1 - -86).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 + 7*i**2\/2 - 3. Let z be o(7). Suppose 3*j - 5*j + 20 = z. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**8\/84 - u**4\/24 + u**2\/2 - 4*u. Let k(l) be the first derivative of s(l). What is the second derivative of k(o) wrt o?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28742, -57513, -86306, -115133, -144006?\n\"Answer: -2*c**3 + c**2 - 28760*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11 = -w, 4*k = -2*w + k + 42. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 204133243?\nAnswer: -204133240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -338 - -338. Which is the nearest to f? (a) 2\/15 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a gram in milligrams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-145385*s + 3 - 12 - 21977*s + 9)*(-3 + 1 + 0) to the form n*s + q and give n.\nAnswer: 334724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 270 = -14*w. Let f = 6 - 3. What is the lowest common multiple of 0 + 5 - (-2 + f) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 55472.\nAnswer: -55472.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2154, 8626, 19406, 34488, 53866, 77534, 105486?\n\"Answer: -t**3 + 2160*t**2 - t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/5 - 4*i**3\/5 - 22*i**2\/5 + 4*i\/5 + 21\/5 = 0 for i.\nAnswer: -3, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/10)*t*t\/((t**(2\/15)\/t)\/t))**(-49))**32 assuming t is positive.\nAnswer: t**(-19600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -206 divided by 153362\nAnswer: -103\/76681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 3 (c) -4 (d) 8 (e) -7133 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5304500 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 3*l**2 + 2*l - 2. Let m be f(3). Solve -m*u + 2*b = -5*u - 8, 4*u + 3*b = -7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2. Let l(w) = w - 12199. Calculate l(t(y)).\nAnswer: -5*y**2 - 12199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.290896ms to seconds.\nAnswer: 0.000290896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2 - 39*x + 175. Let p(b) = -4*b**2 + 19*b - 88. Let v(f) = -5*p(f) - 3*u(f). Let g be v(5). Solve g = 5*z + 4*o - 30, -z - 4*o + 12 = -10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 3 - (-5 + (-40)\/30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 k when three letters picked without replacement from gggggggkgkggg.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let x(y) be the second derivative of -y**3\/6 + y. Let n = 8 - 11. Let k(h) = -2*h. Let u(q) = n*x(q) + k(q). Determine g(u(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/9 - -1*2. Suppose o + 102 = -5*z + 38, -3*o - z - 136 = 0. Let k be (-8)\/(-14) + o\/126. Is k <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -1 (c) -12\/7 (d) -46 (e) 10 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 - 40545 + 40545.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215244310 by 178330.\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17009098 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 250 + 10*o - 250 as r + g*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (-52)\/(-208) + 35\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*v = -4*z + 1703, -3*z + 3*v + 1038 = 0. Let y be 50\/154 - 49\/z. What is the third biggest value in y, -4, 8, 4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 514*a**2 + 0*a**3 - 3*a**3 + 530*a**2 in the form m*a**3 + h*a + l*a**2 + o and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 12:33 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*46401\nAnswer: 13920.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-1) - (-1 - -2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1439 times -0.8\nAnswer: 1151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-473)\/(-387))\/((-19)\/(-684))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*q - 368*q - 52 = -3*a, -a + 4*q + 19 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 137*y**5\/12 - 145*y**4\/4 - y**3\/3 - 5*y**2 - 16. What is the second derivative of o(k) wrt k?\nAnswer: 1370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a + -5325a?\nAnswer: -532b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3764915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 20, 15, -10, -61, -144, -265, -430?\n\"Answer: -i**3 - i**2 + 19*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97178340 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161179 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m**6*m)\/m)\/m)*m*m**(2\/37))\/(m*m**(2\/21)*m\/(m**(-3\/5)\/m)) assuming m is positive.\nAnswer: m**(-29686\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503777, 503775, 503773, 503771?\nAnswer: 503769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6125.2um?\nAnswer: 6.1252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 1. Let i(l) = 2*l**3 - l - 5. Calculate i(f) + 5*w(f).\nAnswer: 2*f**3 + 5*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 20*p**4 - 4584*p**3 + 36596*p**2 - 77856*p + 14144 = 0.\nAnswer: 1\/5, 4, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-45)*-3)\/((-3)\/36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2153 + -1801. What is the remainder when o is divided by 58?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 10*v + 70 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 4, -1, -4, -82 in descending order.\nAnswer: 4, 1, -1, -4, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 4)*(-4*g + 4*g + g)*(2 + 1 - 2) + (0*g - 2*g + 3*g)*(-255 - 50 - 143) to a + v*g and give v.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 498 and 51?\nAnswer: 8466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 + 106. Are -1\/107 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 194*b**2 + 762*b + 359. Determine f(-190).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 - -4) - (6 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23891084, 47782175, 71673276, 95564393, 119455532, 143346699, 167237900?\nAnswer: 191129141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12413131 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -4 + (1*sqrt(128))**2 + 4 + (sqrt(128) + -1)**2 - sqrt(14)\/(sqrt(14)\/sqrt(2)*-3 - sqrt(7))*3)*-5.\nAnswer: -1285 + 145*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233422 = 21648*r + 952226 + 1693536 for r.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - 38) + (3 - 16) + (-11 - 6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*j + 42924 = -177*j - 814*j for j.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 9 = 26*t - 4*m, t + 2 = -3*m. Let w(k) = 8*k**2 - 4*k + 3. Let d(v) = 7*v**2 - 3*v + 2. Calculate t*d(c) + 4*w(c).\nAnswer: -3*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1444*p**3 - 1215.\nAnswer: 4332*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126.101 - -127.5. Let d = 0.229 - y. Let l = d - -1.07. Which is the closest to l? (a) 5\/4 (b) -7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 33, -1\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:41 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -183194 greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:23 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(0 - 1 - -2). Let b(a) = -53*a - 207. Let p be b(-4). Solve -9 = p*q + c*i, 5*q + i + 8 = -2*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 857 and 3088.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035 divided by -8?\nAnswer: -3035\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 6130*h - 1483155.\nAnswer: 5*(h - 207)*(h + 1433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001784037 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/4905)\/(1\/5). Let d = 1335643\/2063697 + 7\/6311. Let j = d - m. What is the closest to -16\/5 in 5\/2, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.4. Let u = -529.8 + 530. Which is the nearest to k? (a) u (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1163 - -1330. Calculate the remainder when d is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m + 6. Let q = 16 + -16. Let n be l(q). Solve 5*z - n*z = 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(396))**2.\nAnswer: -48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**8\/168 + 2*h**7\/105 - h**5\/15 - h**4\/12 - 3*h**2\/2 + h. Let o(g) be the first derivative of q(g). Factor o(l).\nAnswer: 2*l*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -4 + (-29 - -15)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z\/(z\/(z*((z**(-4)*z)\/z)\/z*z))*z))\/(z\/(z\/z**(5\/11)*z*z)))\/(z**38)**(-1\/4) assuming z is positive.\nAnswer: z**(309\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**3 - 4*j**2 + 6*j - 7. Let d(q) = -17*q**3 - 11*q**2 + 17*q - 19. Let r(o) = 3*d(o) - 8*m(o). Determine r(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from qqqqfnnqfqqqfcqccff.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-2))\/((-1)\/(-3)). Let x be -1 + 4 - 69\/h. Which is the nearest to 0.2? (a) -1\/3 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 12*a**2 + 6*a + 87. Determine j(11).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from xss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -8\/716491?\nAnswer: -8\/716491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26092 + -26092.5. Which is the nearest to 50? (a) r (b) 34 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 474*v**2 - 6184*v + 238. Determine j(13).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - (-29 + (55 - 35)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252096782?\nAnswer: 2, 7, 41, 199, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -248788 + 852*w**4 + 248788 + (-3 + 4 - 3)*(w**2 + 2*w**2 - w**2)*(-2*w**2 + 0*w + 0*w).\nAnswer: 860*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*l - 37, -307*l - 5*n = -311*l - 45. What is the closest to 1\/2 in l, 0, 0.04, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 248283 and 12094929?\nAnswer: 84664503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6213271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-10)*-85*(-20)\/510\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.78 and 2?\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0815825 micrograms?\nAnswer: 0.0000000815825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313425883.\nAnswer: 5021, 62423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 5*z + 3*z)*(134 - 134 + 823*z) + 0*z + 0*z - z**2 + 4*z**2 + 0*z + 0*z to k + u*z**2 + j*z and give u.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1261 and 582.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 625533 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*y = 3*t - 18, -7 = t + y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10023638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n - 205. Let h be z(-23). Suppose t + 2 = 33. Suppose 0 = 2*k - x - h, -t + 1 = -5*k - 4*x. Calculate the smallest common multiple of k and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 9:08 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3789, -3793, -3799, -3807, -3817, -3829?\nAnswer: -3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 712829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, v: 4, i: 8}. What is prob of sequence tvv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.253 times -0.17489?\nAnswer: 0.91869717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1645 is divided by 140.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 - (62 + 186 - 120)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.82 + 16. Let i = y - 0.28. Put 3, i, 2\/19 in descending order.\nAnswer: 3, 2\/19, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 8:22 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7837483?\nAnswer: 7837483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -4*a**5 + a**3\/3 - 497*a + 211. What is the first derivative of n(h) wrt h?\nAnswer: -80*h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34144631 - -40?\nAnswer: -34144561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -36, -1\/8 in descending order.\nAnswer: -1\/8, -1\/6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13164016 (base 8) in base 10?\nAnswer: 2942990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 7}. Give prob of sequence rr.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -373, 69 in increasing order.\nAnswer: -373, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/(1290\/(-54)))\/((-2)\/(-30)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/9 + 1 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103010 + 0?\nAnswer: -103010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + 0.35. Which is the second smallest value? (a) 4 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7494.8 - -7524.779. Let c = 34 - 4. Let x = c - d. What is x rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -15*t + 703. Determine i(41).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.2 minus -1263158.2778?\nAnswer: 1263218.4778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390*v**2 + 94 + 7*v - 184 + 88 - 3*v - 2*v to the form x*v + f + g*v**2 and give g.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7988464*b + 4505 = 7988549*b for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 875 - 1\/(1\/2). Let o be -1 + -1 + x\/(-15). Let i = o - -60. Which is the closest to 1? (a) i (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + 21 + -34 - 21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -9 + -5 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5331, 10667, 16003, 21339, 26675?\n\"Answer: 5336*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:59 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -8 + 8 - -20) + 0 + 8 + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 9*c + 12. Let l(y) = 2*y - 34. Let r be l(19). Suppose -2*q + 36 = r*s, -4 = 3*q - 10. Calculate o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9234?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z + 4*h, 2*z - 5*h + 0 - 11 = 0. Suppose z*b = 11*b - 8. Let d = -13\/47 - -67\/752. Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 252248280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 593535 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 8.9. Let f(v) = -3*v + 5. Let m be f(6). Is m greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9799826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftftsfdtttfdtfffd. Give prob of sequence fd.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73056 = 424*l - 42104 for l.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4914 by -2.\nAnswer: -2457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 12*z - 3*z**2 - 11*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 51*d - 2 + 57*d - 117*d + 5 + d**2. Let q be (3\/(-2))\/((-1)\/6). Determine c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/5 + 5*v**4\/3 + 21*v. What is c in g(c) = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**2 - 10*u - 11. Let d = -24 + 14. Is r(d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (650*o + 415*o + 58*o - 166*o)*(0*o**2 + o**2 - 2*o**2).\nAnswer: -957*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17751499?\nAnswer: 31, 572629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5853*q**3 + 2*q**4 + 3306 - 5852*q**3 + 14*q + 3*q wrt q?\nAnswer: 8*q**3 + 3*q**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*s + 50, 247993*x - 247998*x = -10*s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 7\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70993476 to the nearest integer?\nAnswer: 8426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*j - 188*j + 8 = 2*o, -2*j + 4 = 3*o. Put 3, j, -15, 2, -3 in decreasing order.\nAnswer: 3, 2, j, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 10. Let u = -66 - -77. Calculate c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/17745)\/(((-20)\/2)\/(-50)).\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6\/13 (b) -4 (c) -1 (d) -80 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3128154 minutes?\nAnswer: 18768924000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 975 * -7.\nAnswer: -6825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*z - 146*z - 1341. Let o = -279 + z. What is the greatest common divisor of o and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826561652.6 rounded to the nearest one hundred thousand?\nAnswer: 826600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.9. Let i = -2 + 6. Let m = -94 + 93.7. What is the second smallest value in i, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 97\/3. Determine v, given that -y*v**4 + 2\/3*v**2 - 1\/3 + 0*v + 0*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 4296524 + 9*m**2 - 4296524.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -119*t - 5596. Determine y(-47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: c01c00 (base 14) to base 12\nAnswer: 21b5a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8823 and 306?\nAnswer: 52938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1 + 4*s + 2 - 7 - 3*s. Calculate y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -8 - 10 - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/6*-2*-27. Suppose 6*o - x = 3*o. Suppose -39 = -3*c + 3*y, -4*c - y + 7 = -o*c. Calculate the remainder when 18 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7726, 61800, 208542, 494278, 965334, 1668036?\n\"Answer: 7721*y**3 + 8*y**2 + 3*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 + -143. Let l(v) = 7*v - 7. Let m(t) = -21*t + 20. Let q(f) = -17*l(f) - 6*m(f). Calculate the lowest common multiple of q(n) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 2. Let g be l(2). Suppose 140 = 5*c + 5*w, w - 76 = -3*c - g*w. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 6*n**2 + 2*n + 4. Calculate the remainder when d(-4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 20. Suppose -k = -2*k + f. Suppose -g = -a - 0*g - k, 3*a + g = 7. Solve 0 = 2*l - q + a + 4, -5*q = 5*l - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 56 = 4*j, 24598*g + 3*j = 24591*g + 67. Factor 128\/7*o - g*o**2 + 2\/7*o**3 - 192\/7.\nAnswer: 2*(o - 6)*(o - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00155977 to 5 decimal places.\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 402*n + 25693. Determine f(-74).\nAnswer: -4055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**5\/15 - 2*a**4\/3 - 21*a**2\/2 + 11. Let y(d) be the second derivative of k(d). Solve y(x) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h. Let a(l) = 2*l - 121. Calculate a(w(t)).\nAnswer: 4*t - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 3. Let m be w(0). Suppose 0 = 4*o - 13 - m. Suppose o*k + 46 = g - 122, -2*g + 350 = -k. What is the greatest common factor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -511311 (base 6) to base 8\nAnswer: -117073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 60. Let c(v) = 5*v + 4. Let z be c(5). Suppose 0 = -o + a + 7, 5*o - 3*a + a = z. What is the remainder when x is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 16*z**3 + 5*z**2 - z. Let v(s) = -31*s**3 - 11*s**2 + 3*s. Determine 5*n(t) + 2*v(t).\nAnswer: 18*t**3 + 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76363 + -36560. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4905, -4899, -4891, -4881, -4869, -4855, -4839?\nAnswer: -4821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:50 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.471 - 0.401. Let k = 767 + -763.87. Let v = k + t. Round v to 1 dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 70*d - 368. Determine b(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 1 + 0 + d + 4*d**2 - 5*d**2 + d**3 as g*d**2 + o*d + q + w*d**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 187006353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 2:52 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53326076, 106652119, 159978148, 213304157, 266630140, 319956091, 373282004, 426607873?\n\"Answer: -z**3 - z**2 + 53326053*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 - 40*b**4 + 132*b**3 - 136*b**2 + 46*b.\nAnswer: -2*b*(b - 1)**3*(b + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47 and -0.04717.\nAnswer: -2.21699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 26 = 5*l, l + 8 = -l + 5*o. Suppose -5*b + 40 = -d, -4*b + 0*d - 5*d + 3 = 0. Let v(w) = b*w + 2 + 5 - 5. Let g(h) = -6*h - 2. Give l*g(u) + 5*v(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:54 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 162066835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5, -r + 2*w - 2 = -6*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*f**4 - 292*f**3 - 1001*f**2 + 98*f.\nAnswer: -f*(f + 7)**2*(21*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460263504?\nAnswer: 2, 3, 9588823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 3063445?\nAnswer: -3063440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*v, 6*r - r - 14 = -2*v. Suppose 0 = 6*w - 5*w - r. Suppose s + w*n = 4 + 2, 4*s - 2*n = 34. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 348 = -4*o, 5*o + 169 = 2*v + 6*o. Suppose 6*x - x - 10 = 0. What is the third derivative of 90*i**4 - v*i**4 - 5*i**2 + i**x - 6*i**2 wrt i?\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*u**2*x*z**3 + 17*u**2*x*z**2 + 80*u**2*z**2 + 3*u**2 - u*x*z**2 - 880*x*z**3 + 3*z**3 + 2*z wrt z?\nAnswer: -522*u**2*x - 5280*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471655 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2316, 4.1, -2, -0.2.\nAnswer: -2, -0.2, 4.1, 2316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f - 5*f + 0*f + 7329 + 7329 - 14658.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5044273 (base 8) to base 9.\nAnswer: 2445453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((4 - 2)\/(-2))\/(23\/(-437)). Suppose -k - s = -42. Let i(r) = 85*r - 1. What is the remainder when i(1) is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*r**4 + 11*r**4 - r**2 + 2*r**3 - r - 14*r**4 wrt r?\nAnswer: -408*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6) - 2)\/(5950\/(-306) - -22).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -1286.4?\nAnswer: 1286.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198*l**5 - 991*l**3 - 39259*l - 2.\nAnswer: 3960*l**3 - 5946*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 19*w**3 + 5*w**2 + 4*w - 5. Let f(x) = -29*x**3 - 8*x**2 - 6*x + 7. Calculate -5*f(s) - 8*g(s).\nAnswer: -7*s**3 - 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -98.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.05, 742, 7\/4, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -6. Let z be 3\/r + 3 + 279. Suppose -z = -0*s - 3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4860 is divided by 304.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 0 - 100, -16*l = -4*y - 336 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 6*x**2 + 4*x - 8. Is u(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 36 = -z, 2*i + i = 5*z + 50. Let h be ((-9)\/(-7) - 1)*(4 + i). Suppose -h*k - s = 3*s - 256, 0 = 4*k + 3*s - 260. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:34 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20283, -0.0569, 3\/7.\nAnswer: -0.0569, 3\/7, 20283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11001011101 (base 2) to base 11\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4382, -3, -16, -4.\nAnswer: -16, -5, -4, -3, 5, 4382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (80 + (-15 - 22)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1779101216 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 491785 and 1365?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 671336221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 300\/8)\/((236\/(-177))\/(24\/9)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13831 - 8181. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-50)\/5 + 1)\/(-3 + 2). Suppose 0 = q*k - 3*k - 1074. What is the remainder when k is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 34.9985. Round o to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 + c + 1. Let l(g) = -16*g**3 - 52*g**2 - 296*g - 380. Let j(r) = -12*d(r) + l(r). What is w in j(w) = 0?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - -7) + -12 - (0 - 2)) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6741*0.02372\nAnswer: 159.89652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-7781.96.\nAnswer: -311.2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89519150 to the nearest integer?\nAnswer: 9461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 - 6*g. Let q be z(-6). Let p be (-4)\/(-18) - 8\/36 - 49. Let c = 64 + p. Solve 8*u = 3*u - b - 3, 3*u - 5*b - c = q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/28)\/(-2*3\/21)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/119*(-2 + 3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -642810 (base 10) to base 3.\nAnswer: -1012122202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 2*c**7 - c**3\/3 + 20. What is the third derivative of p(v) wrt v?\nAnswer: 1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:57 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488090624?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12120 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 4*q + q)*(-2*q**3 + q**3 - q**3)*(2 - 1 + 3) in the form f*q + o*q**4 + j*q**3 + n*q**2 + w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (19 - 11) - -15 - 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b + 4 = 2*m, 2*b - 5*m - 26 = 0. Let u be b*25\/15 - 4. Solve -9 = 2*k - u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 + 540*g\/7 + 542\/7.\nAnswer: -2*(g - 271)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2503723 (base 11) to base 5.\nAnswer: 2103300432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + b + 73 = 80, -5*b = -5*k + 5. Sort 5, k, 326 in increasing order.\nAnswer: k, 5, 326","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.173, 1515\/7, -0.1 in decreasing order.\nAnswer: 1515\/7, 0.173, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggx when three letters picked without replacement from {a: 1, e: 3, x: 2, g: 3, i: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 9:12 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(7\/6)\/u)**(-33\/2))**(2\/143) assuming u is positive.\nAnswer: u**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 722130426 divided by 6.\nAnswer: 120355071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3 + 213*f**2 + 3360*f + 15300 = 0. Calculate f.\nAnswer: -51, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63*c*k*z - 6*c*k - 5*c*z + 29*c - 25*k*z + 3*z wrt k?\nAnswer: 63*c*z - 6*c - 25*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/36 and -61\/330.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376 a factor of 34567872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 390750*k**3 + 4*k**2 + 1189*k.\nAnswer: 2344500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -460*k**2 - 752628*k - 863280.\nAnswer: -4*(k + 1635)*(115*k + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3*n + 369035746*h**3 + 731*h**2*n + 2*h**2 + 6*h*n - 215*h wrt h.\nAnswer: 6*n + 2214214476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 332 + 258. Suppose t*b = 113*b + 1830. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 53. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17)\/(k*k\/((k*(k\/k**(1\/11))\/k)\/k)*k))**(1\/17)*((k**(-9)*k)\/(k\/(k\/(k\/(k*k*k\/(k*k*k**6*k))*k))))**27 assuming k is positive.\nAnswer: k**(-1373884\/3179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83464326, 333857303, 751178932, 1335429213?\nAnswer: 2086608146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*v**3\/9 + 14*v**2\/9 - 56*v\/9 - 8\/3 = 0. Calculate v.\nAnswer: -3, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - a + 18. Suppose -2*k - k + 6 = 0. Solve -k*r - a = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 891*d**6 - 2*d**5 + 5*d**2 - 65*d wrt d?\nAnswer: 106920*d**3 - 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in -4\/35, 2, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30 - 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -7956, -1\/10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01359 - 0.38641. Let m = 53 - 211\/4. Which is the nearest to m? (a) g (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1739 or 0?\nAnswer: 1\/1739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y**2 + y. Let l(i) = -12*i**3 + i**2 + 3*i - 6. Let n(p) = -l(p) + 6*x(p). Let k be n(4). Let u = k - 128. 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: Sort 28, -60, 1, 4 in decreasing order.\nAnswer: 28, 4, 1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 8. Let k be f(-7). Let w be (-21 + 21)\/(0 + -2). Suppose w*m = 5*m. Solve m = -3*j - k - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/99268002 and 38\/543.\nAnswer: 99268002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(65990\/(-19797))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 4, -15 in increasing order.\nAnswer: -15, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.59 and 4.03.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 3\/(-3)) + -1. Suppose g = 4*s - 5 - 31. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/2)\/3)\/((-56)\/272*17).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 41 = y, -509*y + 514*y - 2*x = -205 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -23. Suppose p - 5*g = 3*p - 46, 2*p - j*g - 30 = 0. Suppose -2*t = t - p. Solve 2*f = t*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 741429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -373 + 439. Let h = 70 - s. Let k(n) = n**3 - 3*n**2. Give k(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9092 is divided by 4541?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 8*p + 3718. What are the prime factors of x(0)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 286*l - 196*l + 449*l - 7504 = 12978 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -2. Is 13 a factor of (4\/d)\/((-22)\/(-1287))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135797\/11 + 12345. What is the biggest value in -0.02, 1, d, 1\/22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-23)*(-1)\/((-6)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -5, -161.\nAnswer: -161, -5, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.535674ml?\nAnswer: 0.007535674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(0 + ((-45)\/(-36) - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:40 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -s - m + 3, 4*s - 3*m - 1 = 0. Suppose -37 + s = 12*g. Let x(y) = -3*y**3 - 3*y**2 + y - 6. Is x(g) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35729\/35 - -1021. Let m = -34\/35 + j. What is the nearest to -2\/5 in -0.1, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 395295*d - 1185912.\nAnswer: 3*(d - 3)*(d + 131768)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*r - 190*r - 62 = -2*s, s - 5*r - 66 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - j. Let h be t(2). Let r = h + 13. Solve 4*d - 9 = r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 20 = 5*v, 0 = 5*v + 2 + 8. Let x be -10 + 158 + (0 - -2). Let l be q\/(-2) + x\/(-42). Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -501231?\nAnswer: -501240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 245438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**3 + 10*g**2 - 10*g - 377. Let q(l) = -14*l**3 - 12*l**2 + 8*l + 375. Let d(b) = 5*q(b) + 6*x(b). Differentiate d(t) with respect to t.\nAnswer: 60*t**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8, -102, -480, -1286, -2664, -4758, -7712?\n\"Answer: -24*o**3 + 2*o**2 + 68*o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 36 + -99 + 42?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-12)*m*m*m**7 assuming m is positive.\nAnswer: m**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626191 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - 13 - 138 - -39?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccffcccfcffcf. Give prob of picking 3 f.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 8:03 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1\/(-3)) - 1. List the prime factors of 2\/(-4) + 7\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5122 = 122*k - 20981 - 21351. Calculate the greatest common factor of 10187 and k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28557 + 28520. Put 5, -2, 0, 9, n in increasing order.\nAnswer: n, -2, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -13193492\nAnswer: 3\/13193492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 416\/9?\nAnswer: 416\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4864 + 9357 - 4631 - 26*x + x - 5*x + 2*x + (4*x + 0*x - 3*x)*(2 - 3 + 0) + 2*x - x - 2*x to g + v*x and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9263 - -11977. Is c a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12990 - 12988. Let p(y) be the first derivative of 0*y**3 - 18 + 0*y**4 - 23*y + 0*y**j + 32\/5*y**5. Differentiate p(l) wrt l.\nAnswer: 128*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-14)*j*j**(-8)*j assuming j is positive.\nAnswer: j**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1061 (b) -4 (c) -2\/3 (d) -0.054 (e) 0.01 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15104 + 15104 + 971*z**2 + 136*z**2)*(-2*z + 3*z + 5*z) in the form h*z**2 + y + f*z + n*z**3 and give n.\nAnswer: 6642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + sqrt(108)*2 + sqrt(108))*-4)**2*4.\nAnswer: 110592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 + 5 - 11 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145040 is divided by 8530?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2928 and 488?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*540\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*s - 9892 = -205*s - 5*u, u = 2*s - 6625. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 440 - 422. Calculate the remainder when 27 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105.1 + -9.\nAnswer: -114.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwdwd. What is prob of picking 1 w and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (285\/(-1368))\/((-5)\/2). Let t(c) be the second derivative of c + i*c**4 - 1\/3*c**3 + 0 + 1\/2*c**2. Factor t(l).\nAnswer: (l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 12*u + 17. Let o be b(13). Sort 0, 5, 1, o.\nAnswer: 0, 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51054481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2182*(19\/(-4) - 153\/612).\nAnswer: 2, 5, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -132 + 84. Let c be 20\/d*(-2)\/(-5). Is 108 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -24*c + 1. Let b(z) = -49*z + 2. Let p(s) = 2*b(s) - 5*o(s). Suppose -14 = -5*x + v - 2*v, 0 = -x - v + 2. Is p(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/25 - (-26)\/10. Suppose -j*s = 15, -a = -s - s - 17. Solve 0 = 5*h - 8 - a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-275 - -5)\/(-18) - 9\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 23310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57.73918 - 6693412.73918. Let p = 6693356.3999985 + a. Let u = p - 1.4. Round u to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/(2\/(-3)). Let b(f) = 3*f**3 + 20*f - 22*f + 1 + 4*f**3. Let v be b(k). Calculate the highest common divisor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (10 - -7 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 826*g**6 - 71*g**2 + 215*g**6 + 215*g**2 wrt g.\nAnswer: 124920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i - 110. What is the remainder when n(21) is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*g + 13, y + 3*g = 4*y - 3. Suppose -j - 12 = y*j. Let d be (-16 + 6)*j\/30*3. Solve 0 = 5*k + 2*w, d*w = k - 12 + 34 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95861?\nAnswer: 257, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38831.41 kilometers to micrometers.\nAnswer: 38831410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {j: 2, e: 1, b: 2, f: 1, w: 1, d: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -1.3. Let x = 9.9 - 10.3. Suppose -y = 4*y - 20. What is the third biggest value in x, o, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2, -n - 4*x + 4 = -2*x. Let c(h) = 2*h**3 - 2*h**2 - h + 2. Let d be c(n). Suppose 4*o - d*j = -10, -2*o - j = 2*j - 15. Solve o*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, -0.5, -0.3, -1\/4.\nAnswer: -0.5, -0.3, -1\/4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 24, 4734\/7.\nAnswer: -4, -1, 24, 4734\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 27*y - 42. What is the remainder when 23 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 3.5. Let m = 3.500084 + k. Round m to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76 + 83?\nAnswer: f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + 184\/(-24))*-15. What is the nearest to -1.1 in 3, h, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 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: Collect the terms in -196 - 221 - 3*g + 2*g + 124.\nAnswer: -g - 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - v**2 + 5 + (1 - 2*v - 1)*(-2*v + 14*v + 2*v))*(-2*v**2 - 3*v**2 - 4*v**2) in the form o*v**3 + m*v + c*v**2 + z*v**4 + b and give z.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*a - 46, -2*a + 11 = 4*n + 1. Suppose 16*c - a*c - 3970000 = 0. Round c to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 140\/10 + -5 + -4. Solve -6*c - 2*c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215063759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12499, 12498, 12497, 12496, 12495?\n\"Answer: -h + 12500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*y**3 + 331*y**3 + 536*y**3 - 1631*y**3 + 3*y**2 - 3*y**2.\nAnswer: -201*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8181 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**3*v**6 - 35383*g**3*v**3 + 78170*g**3*v**2 - 2*g*v**2 wrt v?\nAnswer: 360*g**3*v**3 - 212298*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-2)\/114*-1). Let z be ((-24)\/18)\/((-4)\/d). Is 6 a factor of 3\/((-3)\/(z - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1000 to the nearest 10.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 25 = -5*k, 3*k + 5*g - 33 + 48 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 3*m - 6. Let q be (-66)\/11 + (-1 - -13). What is t(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2039 - 2040. Which is the biggest value? (a) q (b) 12 (c) 10 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2585, -9923, -22147, -39257, -61253, -88135, -119903?\nAnswer: -156557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:36 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15207, -61134, -137797, -245202, -383355, -552262, -751929, -982362?\nAnswer: -1243567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - 2006?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1464159, 1464157, 1464155, 1464153, 1464151, 1464149?\n\"Answer: -2*r + 1464161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*2\/12*-12. Suppose 0 = 3*w - z*s + 11, 2*s - 5 = w - 0*s. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m - 1. Let n be i(1). Suppose 2 - 9 = -q + 4*d, -8 = -4*q - 4*d. What is the second derivative of -4*u**n - u**5 + 0*u + q*u + 6*u**5 wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzjypypzjzjtztppjtjp. Give prob of picking 2 z and 1 y.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -9.894981114522.\nAnswer: -9.394981114522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8\/3))**(2\/13)\/(d*d**(-4\/7)\/d)**37 assuming d is positive.\nAnswer: d**(5660\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.160711 to the nearest integer.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6977513 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21274509 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/119*-9 + 2\/(-68)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -6) + -4 - (-148)\/(-1). Let f be (-6 - b) + -7 + 0. Which is smaller: 139 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*k + 304, -19 = 4*f - 2*k - 335. Suppose 2*n = -11*n + f. Let q be n\/(-2) + 15\/3. Sort -5, 6, q in decreasing order.\nAnswer: 6, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6857212*d**2 - 6857204*d**2 - 2 + 2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1904443, 0, -6 in decreasing order.\nAnswer: 0, -6, -1904443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + g = 6*q - 77, 3*g = 2*q - 51. Suppose 0 = -17*t + q*t - 3. Solve -13 = -t*f - c, 0 = 2*f + c - 0 - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 7*x**2 - 4*x + 2 + 1 - x**3 + 6. Let p be t(6). Let a = 16 + -11. Solve z = p, 2*z - 4*z + 31 = -a*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**8\/a**(1\/12))\/((a**(3\/5)*a*a)\/a)**(5\/8))**(2\/11) assuming a is positive.\nAnswer: a**(83\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**26\/(w*w\/w**(-30))*(w*w*w**(-9\/7)*w)\/w**(8\/11) assuming w is positive.\nAnswer: w**(-386\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 425767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w**2 - 11*w - 3. Let z(a) = -7*a**2 - 7*a - 2. Let s(f) = 2*f**3 - 4*f**2 + 3*f - 1. Let x be s(2). Calculate x*g(b) - 8*z(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16229 + 32993. Is v a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1261*v*w**5 + 7*v*w**2 + 188*v*w + 2*v - 38*w**6 + 2*w**2 wrt w?\nAnswer: -75660*v*w**2 - 4560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22618871729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 11 - 2*f**2 - 7 + 2*f**2 + 0*f**2.\nAnswer: -3*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(121) + (sqrt(121) - (sqrt(121) + 4*sqrt(121))) - sqrt(121)))\/((sqrt(77)*4 + sqrt(77))\/sqrt(7)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 - -103. What is the common denominator of ((-124)\/w - 4) + (-4)\/(-6) and 87\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 + 4511?\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -1212644?\nAnswer: -485057.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-8)*(-1)\/2*(-20)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5439?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -467540370 divided by -8500734.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*y**2 - 1084 + 1084 + (-3 + 1 + 1)*(-3*y**2 + 0*y**2 + 5*y**2))*(3 + 0 + 2).\nAnswer: 270*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 7*c**2 + 81*c + 439. What is r(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3 + 83*u**2\/3 - 66*u + 40\/3 = 0.\nAnswer: 2\/9, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4387 is divided by 487.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 482894 and 1494?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87578*g**4 - 4596*g + 7?\nAnswer: 1050936*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**0*b)\/b)**(-1\/2)*(b\/((b\/b**(-6)*b)\/b)*b)\/(b**(1\/3)*b))\/((b**(-2\/7)\/b)**(3\/11)*b\/((b\/(b*b\/(b\/b**5)))\/b)*b*b*b\/b**(-3)) assuming b is positive.\nAnswer: b**(-9001\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4824 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 8*o + 17*o - 6894733. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -21*q + 1. Let l be t(1). Let x = -10 - l. Suppose 2*k - k + s = 11, 3*k + 5*s - 37 = 0. What is the lowest common multiple of x and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -3*u**5\/10 - 3*u**4 - 7*u**3\/2 - 1323. Find i, given that l(i) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/127351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, f: 15}. What is prob of picking 2 s?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/25)\/((-12)\/(-120)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472416793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - 3460*l - 2. Let s(f) = 2*f**2 + 1731*f + 1. Determine -11*s(k) - 6*z(k).\nAnswer: 2*k**2 + 1719*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -18*p. Let x(z) = 24695*z**2 - 15*z. Give x(g(c)).\nAnswer: 8001180*c**2 + 270*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 255860 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 9333 + 18747 = 0. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5694 + -4946. What is the lowest common multiple of 64 and t?\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*o - 655 - 15 + 66 = 396 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umummiqupuqb. What is prob of picking 1 b and 1 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 + 5. Let z = -44 + 49. Let n(l) = 21*l**2 - 18. Calculate z*n(o) + 18*s(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2090 by 1.\nAnswer: -2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w + 9. Let d(y) = -4*y + 2. Determine d(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 34 = 4*h. Let a = -18 + h. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 3*s - 1. Let c = 4 + -7. Let j = 0 - -18. Calculate the least common multiple of t(c) and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8671 or 8589?\nAnswer: 8671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 2*s + 2. Let b be h(-2). Let p = b - 2. List the prime factors of p + -2 - -1*23.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*p - 2 + 4, -2*w - 4 = -4*p. Suppose -r + 3*k = 1, 0*k - 3*k = p*r - 7. Solve -10 = -r*j - 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451656 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: What is the value of 20604\/748 + 6\/(-11) - -8?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 = 0, -3*w - 2*w - 3*y + 22 = 0. Let v(k) = k**2 - 2. Determine v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*v**4 + 1279 - 3112*v**4 - 9011*v**4 + 563 with respect to v.\nAnswer: -48296*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s - 25. Let y be a(-4). Solve 4*f + 20 = -4*t, 4*t + 5 = y*t + 3*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2208*v = -16*v - 211*v - 129055 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 52. Let n = 0.1 - 0.6. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*a + 11733529 = 156*a - 9413751. Calculate the greatest common divisor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*y)*(348*y**2 + 343*y**2 - 692*y**2 - 1716*y).\nAnswer: -2*y**3 - 3432*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 59947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 + 4*g**3 - 4*g**3 - 7*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 15 + 1, -5*p = -3*u + 128. Calculate the greatest common divisor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y**2 + 2*y - 2*y)*(-855 - 79*y + 855)*(123 - 41 + 63) as t*y**2 + q*y + h*y**3 + n and give h.\nAnswer: -45820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -32872*i. Let l(o) = 46*o. Calculate j(l(k)).\nAnswer: -1512112*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/30 + 306*u**2. Let j(h) = h**3 - 4*h**2 - 4*h - 2. Let z be j(5). Let i(a) = z*a**2 - 5*a**2 - 2*a**2. What is i(k(d))?\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3197382 by 6.\nAnswer: 532897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, z: 2, f: 2, c: 4}. Give prob of picking 1 f and 1 g.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -3 (c) -1\/3 (d) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*a + 14454, 5*p - 4*a - 24062 = -2*a. What is the least common multiple of 4329 and p?\nAnswer: 43290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 212*a**2 - 45*a + 23. Let q be i(7). Let k be q\/168 + (-10)\/105. Calculate the greatest common divisor of k and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 14 = -7*o + 32, 2358*u - 2*o + 31 = 2353*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 435169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135.509 - -75.958. Let n = 104.59 + u. Let k = n - 45. Round k to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -1548.705.\nAnswer: -1549.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + 7*z + 2*z - 23*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11990\/440)\/109)\/(1\/116).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 100. Suppose -4*y + 4*v = -0*y, -5*v = -3*y - 4. What is the remainder when d\/((-15)\/(-5)) + 8 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 13*g + 15. Let m be x(0). Solve 9 = 12*j - m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0, -40, -0.01, 0.059, -410?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-20)*(0 - 20). Let m(z) = -23*z**3 + 10 - 12*z + b*z**3 + 12*z + z**2. What is m(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = v + 3*v, 0 = 5*q + 4*v + 3. Let j be (((-54)\/20)\/(-9))\/((-4)\/(-8)). What is the closest to 1 in q, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168 - 56 + 85)*(-3*b + 4*b + 3*b) + (-2 + 2 + b)*(3 - 1 - 3) + 15 - 3*b - 15.\nAnswer: 784*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 85?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5952724 kilograms?\nAnswer: 0.0005952724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 4. Suppose -3*k + 12 = k. Let d be (16\/6)\/2*k. Let v be r(d). Solve f = -2*y - 8, v = -5*f + 7*y - 2*y - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*q + 208808 - 209578 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + (47 - 71 - -28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 0. Put j, 0, 1, 4 in decreasing order.\nAnswer: j, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 5. Let p be (20\/(-30))\/(6\/(-63)). Let m be o(p). What is the third derivative of m*y**3 + 0*y**3 - 7*y**3 - 6*y**2 wrt y?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 168*d**2 + 288*d**3 + 17*d**2 - 287*d**3 + 3*d + 161*d**2 - 16*d.\nAnswer: d**3 + 346*d**2 - 13*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3003, -2486, -1979, -1488, -1019, -578, -171, 196?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2125 - -341?\nAnswer: 2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - t)*(-2*t + 0*t + 0*t)*(-61 - 52 + 181*t + 110).\nAnswer: 724*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 - 7*z**2 - 10*z + 6. Let d(x) = -118*x**3 - 15*x**2 + 11 - 21*x + 3 - 1 + 109*x**3. Calculate -6*d(v) + 13*h(v).\nAnswer: 2*v**3 - v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2537)\/626639*26\/(-3)*-1*6\/(-32).\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 439005*j - 439005*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) - (sqrt(121) + 4*(sqrt(121)*2 - sqrt(121)))))\/(sqrt(539) - (sqrt(539) - (sqrt(539) + sqrt(539)*-2 - sqrt(539)))).\nAnswer: 3*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(36\/15)\/(-2). Suppose 0 = 2*z + 2*z + 4. Let g = z - -5. Which is the closest to 0? (a) g (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116563547 to the nearest integer?\nAnswer: 10796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (0 - -2)\/2. Suppose -x*c + 14 + 50 = 0. Is c a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2838976*r - 1892735 with respect to r.\nAnswer: -2838976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 2908 (c) -1\/6 (d) -483\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37191002.\nAnswer: 2, 17, 691, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 735570 and 60129504.\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*d + 3. Let v be (6 + 340\/(-50))*2\/8. What is the closest to -0.1 in -0.4, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-1.2077711\nAnswer: 0.108699399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 2. Let c be h(5). Put -2, c, 1 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4 - 12 - 7*j - j**2 - 6 + 26. Determine z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 j when three letters picked without replacement from {m: 3, l: 2, i: 4, j: 8}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 4:13 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = -4*m. Let s(z) = 21*z**2 - 13*z - 9. Let k be s(-1). Let g = m + k. What is the lowest common multiple of g and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10483 and 8340656.\nAnswer: 91747216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-5) - (-1365)\/120 - -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 238 times -32303\nAnswer: -7688114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) 4 (b) -0.3 (c) 77\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.3 (c) -6 (d) -0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10388 - 10388.08241. Let l = 0.0656 + j. Let t = -0.0115 - l. What is t rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -23*g**3 - g**2 - 3*g + 2. What is t(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 5*u + 803. Let v = u - -183. Solve -3*l + v*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p)**(-3\/2)\/(p**0*(p\/(p*p**2))\/p) assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Let d(z) = 6*z**o - 4*z**2 + 8 - 2*z**2 + z**2 - 7*z. What is d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 57 = -4*p, -4*p = -4*k - 0*p + 24. Suppose -3*b = b - 252. Calculate the greatest common factor of k and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6626873 - 1545104.2?\nAnswer: -8171977.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3 - 7, f = g - 2. List the prime factors of 1\/g - 200355\/(-148).\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -222 + 468. What is the remainder when w is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (10 - (2 + 8 + 11)) + 17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 - -465422.23?\nAnswer: 465414.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2213 + 21692. What is the greatest common divisor of 43 and r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/291 and 20\/309?\nAnswer: 29973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06177 * 7.\nAnswer: -0.43239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 847*x - 35522. What is f(42)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -65*s**2 - 53*s. Let y(n) = -16*n**2 - 12*n. Calculate 9*y(r) - 2*z(r).\nAnswer: -14*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*u - 255*u - 1590 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 42*w - 5 = 0, -2*s + w + 63 = 0. Solve 22*z = s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - d - 2, -b = -145*d + 142*d + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x - 15. Calculate the highest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*p - 2880, 0*f + 2300 = 4*f - 3*p. Let w be (-2)\/3 + f\/66. Solve -6*a + w = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/2*(-5)\/15. Suppose m - 69 = -z*i + 3*m, 0 = 5*i + m - 102. What is the units digit of i\/((-4)\/16*-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -20 + 5*x + 20. Let a = 67 - 65. Let q(u) = 32*u**2 - 33*u**a + 11*u**2. What is q(y(h))?\nAnswer: 250*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 7115*d + 71250.\nAnswer: -(d - 10)*(d + 7125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6.97. Let i = s - 0.27. Which is smaller: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 72*k. Let h(d) = 4*d**2 + 2. Give w(h(t)).\nAnswer: 288*t**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/20)\/((-2)\/(-16)*1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2759172 millilitres to litres.\nAnswer: 0.0002759172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -3*n**2 - 1\/30*n**6 + 1\/30*n**5 + 0*n**4 + 0 + 0*n**3 + 0*n. What is the third derivative of v(m) wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-10) - (-6)\/4)*(-195)\/97344*39?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6849, -8267, -9685?\nAnswer: -11103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = c + 25. Let u = -16 - c. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-4))\/5)\/(3\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82197211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-9)\/(-45)*9\/(90\/175). Determine q, given that 0 + 1\/2*q**3 - y*q**2 - 9*q = 0.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 187418865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d + 18. Suppose -30 + 10 = -d*j. Suppose 4*v + g - 19 = 0, g = -3*v + 6*g + 20. Solve -j*l - v = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 18 + 2285*b + 2*b**2 + 13*b**2 + b**3 - 2276*b. Is u(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064845 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 27*o + 15 = 19*t + 11*o, t - 40 = 8*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/2 + 6099*j**3 - 73275*j**2\/2 - 311224*j - 268488 = 0. What is j?\nAnswer: -12204, -4, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {l: 3, c: 4, r: 1, f: 12}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58649 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 4:02 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxmm when four letters picked without replacement from vmxxxmxxvvxfmxmmpvxx?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7044 by -4.\nAnswer: -1761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from ccccccfcrcc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10 - -6)\/((-1860)\/350) and 71\/8?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z + 672030 = 23*z. Is 135 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9246*l**2 - 6*l - 12549. Let o(i) = 55477*i**2 - 39*i - 75293. Let p(s) = 13*g(s) - 2*o(s). What is the first derivative of p(h) wrt h?\nAnswer: 18488*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 divided by 1474536\nAnswer: 41\/737268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7738818477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3bcb (base 13) to base 12\nAnswer: 4ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = w + 31. Let l be (w - 2)\/(12\/8). Let x(p) = 2*p - l*p + 3*p + p. Let g(i) = 16*i**2. Give g(x(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-49 + 58)\/(15\/350) - (-7)\/((-7)\/12). Let k = 7 + -4. Suppose k*y + z - 95 = 0, 3*y - 3*z - 72 - 39 = 0. What is the highest common factor of s and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1198 - 1128. Is -0.069 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852799 is divided by 231598?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*d - 7 = -5, 11*j + 5*d - 35 = 0. Solve 0 = 5*f + 15 - 0, 5*s - 5 = -j*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2. Let x(z) = 371*z**2 - 183*z. Determine x(s(v)).\nAnswer: 30051*v**4 - 1647*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26192620 divided by 13096310?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26870, 53740, 80610?\n\"Answer: 26870*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*y - 62 = -176*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -113*t**2. Let f(l) be the second derivative of 13*l**4 - 4828*l. Determine f(p(j)).\nAnswer: 1991964*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 33192\nAnswer: -1\/33192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*o = -2*c + 114, 2*o = -2*c - 78. Let j be (2\/6)\/((-4)\/c). What is the units digit of 1\/1 + (j - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from gszeefjz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41\/35 - 11\/7. Let k = -4.7 + 5.1. Let m = -0.05 + 0.06. What is the smallest value in m, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/8)\/((-3)\/10284). Let v be t\/(-12) + 3\/4. Suppose -2*y + 4*n + 95 = -n, -5*n = -5*y + v. What is the greatest common factor of y and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5304606 and 993?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -96, -139?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395756517 to the nearest integer?\nAnswer: 19894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((612\/(-16))\/(-17))\/(2\/8). Suppose 2*y = -2*o + 456, 7*y + 452 = f*y - 2*o. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 + 0 + 0 - p**2 - 3*p.\nAnswer: -10*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/42 - 14\/(-98). Suppose -34*d + 35*d - 3*p = -5, 2*d + 3*p - 8 = 0. What is the nearest to l in 2\/3, 55, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w + 14. Suppose -5*v + 4*z = -35, 4*v + 4*z = 2*v - 14. Suppose -4*b + w = -v*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-7)\/2)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)*t*t**(2\/17)*t)\/(t\/(t**(-1\/2)\/t))**(-12\/13) assuming t is positive.\nAnswer: t**(4133\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 496 times 2803\nAnswer: 1390288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 7*t**2 + 0*t**2. Let z(g) = -19*g**2 + 22 + 20*g**2 - 22. Determine z(p(j)).\nAnswer: 64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2109*u = 1946*u + 2282 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.92, -0.4, -2\/11, 3, -32?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 6*k)*(-16*k + 14*k + 3*k**2 - 5*k**2) to the form f*k + c*k**2 + y + t*k**3 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4261301 divided by -387391?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 121073?\nAnswer: 121079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 77*f**3 - 3. Let o(d) = -48*d**2 - 41*d - 2337. Let p(y) = -7*y**2 - 6*y - 342. Let c(n) = -6*o(n) + 41*p(n). Give h(c(w)).\nAnswer: 231*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 1222984 + 1795992. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 1. Let y be b(3). Let v be (0 + 0\/(-2))\/y. Which is smaller: v or 2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 2*u - 20 + 8*u**4 + u**2 in the form p*u**3 + d*u + x + w*u**4 + i*u**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 56.08692 microseconds?\nAnswer: 0.0000000155797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 27*r + 7. Let q(g) = -g + 3. Let y be q(12). Let l(u) = 13*u + 4. Let o(c) = y*l(c) + 4*f(c). What is the tens digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/6 + -1\/3. Let j be (-146)\/(-511) - ((-2)\/(-6) + 3\/(-54)). Is j bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 330 + -332. Sort v, -4, 5, 3.\nAnswer: -4, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-s**3 - 2*s + 2*s)*(-8 + 6 - 21*s + 0) - 2*s**4 + 4*s**4 - 4*s**4)*(6 + 3 - 1) as t*s + j*s**4 + r*s**3 + z + c*s**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 2*v**2 - 3*v**2)*(-25 + 11046*v - 22 + 46 - 61223*v).\nAnswer: -100354*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/47 and -127\/282?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 1.2. Let d = f + 1.406. What is d rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3038232380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-17\/2)\/(r*r**(4\/3)\/r))\/(r\/r**(-2))**(-4\/7) assuming r is positive.\nAnswer: r**(-341\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/36 and -57\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49909720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095704 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxxx when four letters picked without replacement from {p: 3, x: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020325 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.69 - -0.61. Which is the smallest value? (a) v (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2854.221 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -84. Let h = 1229 - 165. Let u be (-4)\/(-6) + h\/l. What is the highest common divisor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 - 11869*z + 5938*z + 5931*z - 9*z**3 - 3*z**2 - 3 in the form u*z**4 + v*z**2 + x*z + i + d*z**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29670 and 35190?\nAnswer: 1513170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -237779*i**2\/2 - 11*i + 1. Let k be c(-9). Suppose 0 = -0*t + t + k. What is t rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.18 - 0.18. Which is the closest to -0.1? (a) -72 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3680000 = 4*y - 3*b, 0*b = -y + 2*b - 920000. Round y to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 69*w + 4. Let p(d) = 278*d + 4. What is 2*p(k) - 9*r(k)?\nAnswer: -65*k - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p**4 + p**4 + p**4)*(-1 + 1 + 7) + 4*p**4 - 3*p**4 + 0*p**4 in the form z*p**4 + m + l*p**3 + c*p**2 + u*p and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p - 4 + 4)*(-1 + 0 - 2 + (5 - 2 - 4)*(0 + 1 + 0)) to the form f*p + b and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - 4*sqrt(320))**2 + -2.\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 + 6*m + 12. Let q be b(-5). Suppose -t + 38 = -q. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {i: 1, c: 1, z: 1, m: 1, b: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4881 by 6.\nAnswer: 1627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10546 - -3698.79?\nAnswer: -6847.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1546 divided by -7.\nAnswer: 1546\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*x + 411*x + 2150 = 0. Suppose -2210 - x = -8*r. What are the prime factors of r?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (((-532)\/6)\/(-38))\/(604\/(-618) - -1)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 24 - 79 = -5*u, 22 = 2*u - 5*m. Find the common denominator of 17\/12 and u\/16*(16 + -9).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqqpttutt. Give prob of sequence ptu.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o**(-9)\/o)*o)*o*o*(o*o**(-3)*o)\/o)\/(o*o**1*o*o**12) assuming o is positive.\nAnswer: o**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 86245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 5 = -3*v. Let q be 4\/34 + 3400\/(-19074). Which is greater: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q, -3*q = 2*x - 10*q - 1 + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, w: 2, v: 6}. What is prob of sequence tv?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16284 + 16283.9. Which is the closest to x? (a) 0.3 (b) 4\/11 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (894 - 123 + 348 + (-3 + 3 + 1)*(2 - 5 + 2) - 1 + 0 - 1)*(4 - 6 - 1)*(-2 + 2 + 2*b).\nAnswer: -6696*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 11*t**5\/5 - 3*t - 7. What is the first derivative of g(z) wrt z?\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48a + -1d?\nAnswer: -4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/191898 and -149\/13378032.\nAnswer: 93646224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhhsroq. What is prob of picking 1 l and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, e: 3, t: 3, b: 8}. What is prob of sequence te?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6761090.\nAnswer: 2, 5, 7, 96587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13912423 = 2*i + 3422447. Suppose 2*s - 2097988 = 3*z, 5*s - i = z + 2*z. Round s to the nearest ten thousand.\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 765?\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 4:05 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279882?\nAnswer: 2, 639941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46 and 0.219.\nAnswer: -0.10074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-9) + (-4)\/(-18). Suppose -37*p - 191 = -339. Sort -2, p, -1, g in decreasing order.\nAnswer: p, g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yggnygyggggn. What is prob of sequence gyn?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 - 64.5. What is t rounded to 0 dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 + -146. What is the highest common divisor of 27 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 + 2000102?\nAnswer: 1220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587864912?\nAnswer: 2, 3, 109, 303491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 19*v**2 + 2414*v + 16139. Give b(-120).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g - 284. Let s be b(28). Let m(u) = -8*u - 35. Give m(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -41. Let h(p) = 8*p - p**r - 8*p. Let o(x) = -11*x + 21. Let d(s) = -11*s + 18. Let w(g) = -7*d(g) + 6*o(g). Calculate h(w(a)).\nAnswer: -121*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70051 by -4.\nAnswer: -70051\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c**4 - 67*c**3*q + 2*c*q**2 - 16*q**2 - 2*q - 4 wrt c?\nAnswer: 16*c**3 - 201*c**2*q + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 12074000*l**3 + 2 + 28 - 3*l + 12074013*l**3 to the form o*l**3 + b*l + c*l**2 + w and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*j**2 + 5 + 23*j**2 - 2)*(-j - 2*j - j) + j**3 + 14*j**2 - 5*j**2 - 10*j**2 in the form q*j + v + y*j**2 + x*j**3 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 197867 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/348 and -31\/1276.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -260576, -520954, -781330, -1041704?\n\"Answer: z**2 - 260381*z - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 + d**2 + 2. Let m(l) = l - 6. Let a be m(8). Let s be i(a). Let g = 22 - s. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1824 and 7\/152.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11209886.73s to weeks.\nAnswer: 18.534865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -76*l**3 + l**2 - 3*l + 2. Let d be s(1). Let c = 79 + d. Let a(u) = 1 - 2 - c + 9. Let z(w) = w**2 + 6. Calculate 6*a(b) - 5*z(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*(-2 + 0). Suppose -61 - z = 2*i. Let s be 7\/(i\/12 + 3). What is the highest common factor of 28 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -749*i**3 + 926*i - 2. Let g(j) = -2996*j**3 + 3703*j - 9. Let m(n) = 2*g(n) - 9*x(n). What is the second derivative of m(u) wrt u?\nAnswer: 4494*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzv when three letters picked without replacement from vvvvvzvzzv?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -76*u**3 - 110*u**2 + 146*u + 54. Let s(c) = -15*c**3 - 22*c**2 + 29*c + 11. Let h(q) = 6*a(q) - 28*s(q). Determine g, given that h(g) = 0.\nAnswer: -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**3 + 6*o**2 + 14*o + 4. Calculate the remainder when z(-5) is divided by 417.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) -15 (c) -1.15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.03, -0.1, -27, -2\/5, -3.9, 0.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2175 less than 6\/1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2570409 divided by -856803?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - y + 4)*(-2128 + 13492 + 5474) in the form n + q*y and give q.\nAnswer: -16838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:27 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*n*x**4 + 1057798*n*x - 3*n - 34107660 wrt x.\nAnswer: -132*n*x**3 + 1057798*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 966712.8s to milliseconds.\nAnswer: 966712800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968358.\nAnswer: 2, 3, 251, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = 4*h - 1808. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 223098377 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 38. Calculate the remainder when 52 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1673*q*v**3 - 3*v**3 + 344*v with respect to q.\nAnswer: 1673*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(3\/13)*b*b)*b\/(b*b\/(b**(-2\/11)\/b))*b**(2\/13)\/b**7)**25 assuming b is positive.\nAnswer: b**(-42175\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 789715 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 times -0.176\nAnswer: 0.7568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21133 (base 4) in base 14?\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 2*h + 57, -399945*a = 3*h - 399900*a - 387 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnxx. What is prob of sequence xnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.111 - -31.411. Let p = y + -32. Let f = 0.70000052 + p. What is f rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.3. Let p be 16\/60*-1*240\/(-96). Which is the biggest value? (a) i (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*n**2 - 3*n + 209*n**2 - 3*n to the form r*n**2 + w*n + y and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + 2. Round u to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 + 2700*h**4 + 2662115*h**3 + 7961930*h**2 - 10860*h - 10615880 = 0. Calculate h.\nAnswer: -506, -2, 1, 1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -233*k. Let x(n) = -n**2 - 2*n + 1. Let f(m) = 3*m**2 + 4*m - 2. Let v = 211 + -212. Let u(a) = v*f(a) - 2*x(a). Calculate u(j(y)).\nAnswer: -54289*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 4*v - 1. Let l(i) = -2*i + 4. Let n be l(4). Let g be s(n). Let d be g + 3\/3 + 0. Let f(q) = -q**2 - q + 4. Determine f(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*k + 19*k + 26*k = -3*f - 29*k + 7, 2*f = -2*k + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 33*j + 614 = -29*j, -15 = -5*j. Is q greater than or equal to 1502\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/14 and 145\/2772.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -955003182+-627028\nAnswer: -955630210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3*-18 - 3. Let a(d) = -5*d. Let k be a(-2). Solve -15 = -5*y + l, g*l - l = -k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5910 * -231.36\nAnswer: 1367337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -0.2. Let j = a - -3.7. Let q = 1.48 + -1.48. What is the second smallest value in j, -1\/3, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f - 4*c - 46, 0 = 4*f + 5*c - 121. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-592)\/60 - (-6 - 4)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = a + 13, -2*a - 3*a + 3*o = -19. Let j be a\/(-6) + (-5)\/(-3)*-7. Let i be j\/(-9)*(-18)\/(-8). Solve -2*d - i*c = -7, 0*c = -4*d + 4*c - 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 232.05. Let s = -233 + j. Which is the closest to 1? (a) 0.02 (b) -2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3402*g**3*i**2 - 563*g**3*i - g**2*i**2 + 43*g**2*i + 103091 wrt g?\nAnswer: 20412*i**2 - 3378*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 690 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.05005ng?\nAnswer: 0.00405005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8394809 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, r: 8, t: 2, k: 2}. What is prob of picking 1 k and 1 t?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 35*f - 12. What is the hundreds digit of b(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 32210895?\nAnswer: 32210892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 3:06 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 3*x = -21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 18*j**2 + 15*j + 41. Let y be s(17). Let d be -1 + (y\/5 - 0). Put -23, d, -4, 5 in decreasing order.\nAnswer: 5, d, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29477, 57139, 84801, 112463?\n\"Answer: 27662*j + 1815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/30 - 2*x**2. Let v(b) = 6*b - 76 + 76. Give m(v(s)).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) -5 (b) -0.3 (c) 6 (d) 799\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61755643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 91\/49 - 2\/28*-2. Suppose 4*b + 0 = 20. Suppose -p*y + 51 - 1 = 4*f, -b*y + 50 = 5*f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, k: 5, p: 2, w: 2, o: 4}. Give prob of picking 1 p and 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 427236.3 micrograms in milligrams?\nAnswer: 427.2363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine sixteenths of a minute?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*i + 9456 = 0, -2*t + 4722 = -109*i + 107*i. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/99 and -76\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 881\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:28 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65.2 from 0.22.\nAnswer: -64.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2126*j**2 - 802*j**2 - 5 - 463*j**2 + j to the form r + p*j + y*j**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2.6, 4, 0 in increasing order.\nAnswer: -2.6, -2\/9, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 12. Suppose 3*p - 30 = 3*l, -3*p + 5*l = -23 - 17. Suppose -5*z + 19 = -3*n, -9*z + p*z = 5*n - 30. Solve -x*d = -z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r + 1. Let k be i(1). Let p = 13 + -13.8. Let q = 0.4 + p. What is the closest to -3 in -5, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = 446458 - 694917 - 586221. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45 - (6\/(-4))\/((-2)\/(-4)). Suppose w*d - 51*d = 3. Let n be (1 + -49904)*d - (1 - -2). What is n rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((132\/12)\/(-308))\/(4\/16).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2, -13, 9, 2.91?\nAnswer: 2.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23626300 to the nearest integer?\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.016935.\nAnswer: -0.0084675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1020 and 2222920.\nAnswer: 6668760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-405)\/(-30)*(876\/(-72) + 12)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 287927211 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/31)\/((-12)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = 2*x, -4*g - 2 = -3*x - 6. Let t(z) = -7*z**2 - 14*z - 23. Let k(i) = 36*i**2 + 69*i + 114. Let u(d) = x*k(d) - 21*t(d). Factor u(c).\nAnswer: 3*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrnnmrrm. What is prob of sequence mm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*j*s**3 + 8*j*u - 13*s**3*u + 20*s**3 with respect to j.\nAnswer: -32*s**3 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/7))**(-8\/13)*(y\/(y\/(y*y*y**(1\/3)*y)*y))**(-25\/3))**(-5\/3) assuming y is positive.\nAnswer: y**(83945\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:04 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 33+-98\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s**2 - s**2 - 8*s**2 - 12)*(76 - 61*s + 23 + 60*s).\nAnswer: -s**3 + 99*s**2 + 12*s - 1188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4801 = 4*b, 5*a - 436 = b - 1642. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 12 - 9. Let g be -4*(u - (-6)\/12). Suppose -i + 6 = -0*i. Solve 2 = -5*x - 3*r, -g*x - i*r = -4*r + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73994, 73993, 73992, 73991?\nAnswer: 73990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 46 = 100. Suppose 5*i - f = -2*l, -3*i - 29 - 91 = -3*l. Suppose -2*q + 19 = -21. Calculate the remainder when l is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let t be s(-6). Let z = -1 - -2. Let r be ((-9)\/6)\/(z\/(-36)). Calculate the greatest common divisor of t and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144001379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 26452?\nAnswer: 502588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 2932824*x + 225851164.\nAnswer: -4*(x - 733283)*(x + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1356525923 from 0.5096.\nAnswer: -1356525922.4904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.42+-523\nAnswer: -523.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2718 + 2721. Let c = -388 + 245. Let i be c\/(-44) + 1 + -4. Sort a, 17, 0.3, i.\nAnswer: i, 0.3, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 20*s - 96*s**2 - 2 + 81*s**2 - s**3. Suppose 62*c + 700 = 12*c. What is p(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -51. Solve 2*b - 6*b = -y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 + 524 = -m. Sort m, 1, -1 in descending order.\nAnswer: m, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 2*w**2 - 7*w - 2. Suppose 5*n + 20 = 0, -5 + 2 = -3*z + 3*n. Let t be f(z). Suppose -12*g = -t*g - 1510. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 66*o = 69*o + 9, -2*o - 56 = -4*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228853220768 minus -15?\nAnswer: 228853220783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 10034974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1da0ad - -2?\nAnswer: 1da0b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*83268.\nAnswer: 8326.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 17650, -1 in decreasing order.\nAnswer: 17650, 71, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 19*a**2 - 18*a + 85. What is the lowest common multiple of 3 and d(-18)?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -4, 2, -3, -1231?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06184213 and 5.\nAnswer: 4.93815787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -22. Let x = y - -111. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l = -37*l + 14859. What are the prime factors of l?\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/42)\/((-1)\/(-6)). Solve -h + n*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 227*r - 258*r + 465. Solve -9 = -3*l + 5*d, 0 = 5*l - 13*d + r*d + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 - 138 = -4*m - 287 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b + 4*b**2 + 6*b**2 + 0*b. Let y(k) = 3*k**2 - 2*k. What is 14*y(w) - 4*z(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/54 and -79\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 61. Let z(i) = -6*i**2 - 91. Let r(u) = -116*u - 2547. Let c be r(-22). Determine c*z(f) + 8*x(f).\nAnswer: 2*f**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -125c (base 13) to base 4\nAnswer: -220310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 888090 and 966.\nAnswer: 20426070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(32 + 18*j - 296*j - 32).\nAnswer: -834*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = 3*d + l, -4*d + l = -25. Let x be (d + -2)*(1 - 0). Let k(s) = -s**x - 2 + 0*s**2 + s**2 + 11 - 3*s + 2*s. Calculate k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9388083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15192 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 57. Solve 4 = -c + b*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**4\/4 + p. Let x(o) = -4*o**2 + 0*o**2 + 2*o**2. Let h = -1514 - -1521. Give h*x(j) + 5*k(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 1192234*w\/5 + 1192232\/5.\nAnswer: 2*(w - 596116)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 + -199.0657. Let p = 0.066362 + a. What is p rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-63)\/(-1029))\/(2\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105.723753*0.4\nAnswer: -42.2895012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 8) to base 11\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(14)*4 + sqrt(14) + -2*sqrt(224))\/(sqrt(24)\/(sqrt(60)\/(sqrt(20)\/sqrt(4)))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -4)\/(3\/(-79)). Suppose -8 = -2*c, -3*g = 4*c - t - 27. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b + b. Let f be (-6)\/(4 - 5\/2). What is the closest to -0.1 in f, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.7 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (48 + -57 + (1 - (2 - 11)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vibvbvvvvvib. What is prob of picking 1 b and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*v**2 + 2)*(-v + 2*v + 3*v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 1002 (c) -0.4 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14542455 is divided by 221.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74954*j**6 + 1079595*j**2.\nAnswer: -8994480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 63. Solve 5*q - 3*q - 5*l - 10 = j, -l - 19 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -0.04 (c) 0.4 (d) -0.038 (e) -1354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 - 33*n + 42 + n - n + 3*n + (2*n - 3*n + 2*n)*(-4 + 3 + 3) + 0*n + n + n - 3 - n + 3 + 3 - 3 - n in the form c + w*n and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -331323102332 (base 4) in base 3?\nAnswer: -1010112202101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 10:52 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48))**2 + -5 - sqrt(75)*1.\nAnswer: -5*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-17 - (43 + -28) - (3 + -13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 5*l + 5, 11*t - 29 = 6*t + 4*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a hour in minutes?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let k(v) = 8*v - 3. Let s(l) = -9*l + 4. Let q(o) = -3*k(o) - 2*s(o). Give q(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -817.09*0.4\nAnswer: -326.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/2*(4 + 1). Let i be (1\/(-5))\/((-10)\/u). Let q = 1.8 - 2. Which is the second biggest value? (a) i (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10450*d - 27. Let b(u) = 2609*u - 6. Give 13*b(w) - 3*f(w).\nAnswer: 2567*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -70. Let t = -23 - q. Solve -3*h + 8 = -4*c, 5 = -c + t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 31*z - 20. What is u(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22989 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 234, 397, 696, 1239, 2134, 3489, 5412?\n\"Answer: 18*c**3 - 40*c**2 + 157*c + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*n - 3*n + 22, 37 = 5*d - 4*n. Let v be -2 - 26*d\/2. Let w = v + 124. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*n - 3*n = -4, -n - 10 = -5*j. Let s(a) = a**3 + 3*a**2 - 3*a + 4. Let b be s(-4). Suppose -9*x + 27 = -b. Put x, 1, j in increasing order.\nAnswer: 1, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 6, j - 4*i = -4*j + 23. Suppose 5*g = j*a, -2*g = -4*a - 0*g. Let o be (0 + a)\/(12\/12). Solve n + n - 4 = o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2591\/1220 + -9\/122. What is the common denominator of 187\/60 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34108 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*f - 69. Let k be 7\/(57\/6 + f). Solve -r - 6 = -k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (285 - 416) + 58 + 9\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 55*g**2 - 3*g - 3316. What is m(-56)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48791 and 694.\nAnswer: 33860954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 33. Suppose y*j - 252 = 17*j. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/13 + 1952*i**2\/13 - 1954*i\/13.\nAnswer: 2*i*(i - 1)*(i + 977)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2\/5 (c) 0.1 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2924\/133 - 396\/19. Factor -4\/7 + 10\/7*s - u*s**2 + 2\/7*s**3.\nAnswer: 2*(s - 2)*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13545384 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4977 and 6?\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(10)\/sqrt(2) + 4 - sqrt(5)*3*2)**2 - 4*(2 + (sqrt(605)*2)**2).\nAnswer: -9592 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 5\/12*u**4 + 1\/10*u**5 - 1\/3*u**3 + 0*u**2 + 0 - 1\/6*u**6 - 12*u. Solve d(w) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -32123.12\nAnswer: -160615.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 6, -12 = 5*z + i - 494. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113648374613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 1\/4*l**2 + l.\nAnswer: (l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01825565 * -8.\nAnswer: 0.1460452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1690 = -4*m + 2*h, 0 = 2*h + 2. Let w be 1\/(-2) - m\/6. Let p be -3*26\/(-6) - 3. What is the highest common factor of w and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*c - 1039*c + 519*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 + -7 - (-5 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + -6*(sqrt(1584) + sqrt(1584)*-2) + -2*sqrt(1584) + -3)**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*o - 3*g, 10*o - 4*g = 11*o + 6. Solve -x - 9 = -o*m, -2*x + 3*m - 9 = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 348764.9g?\nAnswer: 348764900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -66565606.\nAnswer: -6656560.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 + 228. What is the units digit of 1\/((-2)\/2)*(p + -185)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f)**(-10)\/(f**(-1))**(-39) assuming f is positive.\nAnswer: f**(-103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92662, -185206, -277754, -370306, -462862, -555422, -647986?\nAnswer: -740554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6270 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-11)\/22). Let h = -45 + 50. Sort 2\/7, h, -2\/3, j in decreasing order.\nAnswer: h, 2\/7, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*r + 9, 5*r + 0*s - 3*s = -1. Let v(y) = 6*y**2 + 2*y**2 - 3*y**2 - 2 + y. Calculate the least common multiple of 14 and v(r).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*p + 7598 = -34*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8821409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*t + 31*t + 1125 = -48*t + 22*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = -0*i. Let d = 2 - i. Suppose -d*h = 21 - 57. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 841, -26, -1 in decreasing order.\nAnswer: 841, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + (-72 - -66).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 3. Let l(k) = -2*k**2 - 12*k - 22. Let p be l(-3). Let s = 4 + -3. Put s, p, y in decreasing order.\nAnswer: y, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245625228 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = 24. Let n = 65 + v. Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 0.37. Let l be (0\/2)\/(-5 - -3). Let o(j) = -j - 2. Let w be o(l). What is the nearest to w in 2\/9, v, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) 1259 (c) 3 (d) 4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*w - 17. Let h = w + -1. Suppose -5*r + 0*r = -25. Solve 21 = r*a + 3*d, 2*d + 3*d = h*a - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**3 - k. Let t be m(-1). Let c be t\/(-14) - 272\/(-28). Solve 2*a + a = g - c, -2*g + 2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**3\/3 + 7*u. Let s(c) = 13*c. Calculate s(h(p)).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 2*n**2 + 13*n + 13. Let i(r) = -r**2 - 6*r - 6. Let p(o) = 2*f(o) + 5*i(o). List the prime factors of p(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5384, -10767, -16150, -21533, -26916?\nAnswer: -32299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*a - 1)*(-2*a**2 + 2*a**2 - a**2) - 34 - 22*a**3 + 34 to the form y*a**2 + d*a + l*a**3 + b and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Suppose 4*f = -3*d - 2*d + 37, 3*f - 4 = d. Let x = d + -3. Put r, x, 3 in decreasing order.\nAnswer: 3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -4)*(-9)\/(-15). Suppose 4*z - 4 = -h, h - 1 - a = z. Suppose 3*v - 2*v - 4 = z. What is the least common multiple of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 635 - 190. Let g = 442 - v. Sort -2\/17, 10, g in descending order.\nAnswer: 10, -2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 5*v - 3*a, 0*v + a - 33 = -2*v. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 24 + 2)*(6*n - 2*n - 2*n)*(3 - 1 - 1) - 2*n + 2*n - 2*n + n - 2*n + 3*n.\nAnswer: -62*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 123 - 153. Let y be (-6)\/18 + 14\/6. What is the highest common factor of o and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1598435 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*y = -690, -6*l + 370*y - 369*y + 4052 = 0. What is the remainder when l is divided by 265?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(96)\/(6*sqrt(12))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 525 + 7*d**3 - 525.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/4 + 11*s**4\/2 + 3*s**3\/2 - 31*s**2 - 173*s\/4 - 33\/2.\nAnswer: -(s - 22)*(s - 3)*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2683 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -5 (c) -10 (d) 0 (e) -37.4 (f) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-16) + 7\/4*6. Suppose -t*k + 12 = -9*k. Calculate the greatest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -13319*k**4\/4 + 10141*k**3\/3 - 12203. Find the third derivative of g(h) wrt h.\nAnswer: -79914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75)\/sqrt(5) + sqrt(15)) + (3*2*sqrt(15) - sqrt(15)))\/(sqrt(33)\/(sqrt(44)\/sqrt(4)) - (sqrt(3) - (sqrt(15)\/sqrt(5)*6 - sqrt(3))))*4.\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20838236*y**4 + 2*y**2 + 69472179*y wrt y.\nAnswer: -250058832*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1211424215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 74) + (-3 - (63 + 11))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5765010 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**3 + 20403*z**2 - 26*z - 596 wrt z.\nAnswer: 12*z + 40806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 3 (c) -1\/50 (d) 854\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817451 is divided by 243.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p - 121. Let j be l(-30). Suppose -5*y + j = -4*d - 155, -y + d + 91 = 0. Calculate the greatest common divisor of 120 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**6*v - 12*g**4*v + 2*g**3*v - 55*g**2*v + 3*g*v wrt g?\nAnswer: -480*g**3*v - 288*g*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -6*y - 2*y. Suppose -6*a + y*a = 0. Suppose 2*l + a*t - 32 = t, -4*t + 16 = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*n + k, 4*n - 189 = 4*k - 181 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 q when three letters picked without replacement from {i: 1, c: 1, e: 1, n: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2217369 is divided by 69287?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -947, -2, -687, -1 in decreasing order.\nAnswer: -1, -2, -687, -947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 608 + 1072. Calculate the remainder when p is divided by 83.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6141.5 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3224, -0.5, -4, -0.1, 6 in ascending order.\nAnswer: -4, -0.5, -0.3224, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/58369 - 4436146\/2976819. Find the common denominator of f and 8 - ((-54)\/60)\/((-24)\/(-220)).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1102 and 29792.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/8)\/(6\/168)*(-786)\/(-2751)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3240 and 200920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 - -1.3. Let i = -0.2 + c. Let k = i + 0.5. What is the nearest to 0 in k, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 82 - 17735*d.\nAnswer: -17735*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 2. Let w(g) = -g + 3. Let m(o) = 7*o - 43. Let v be m(7). Let n(f) = v*q(f) - 4*w(f). Let c(d) = 4*d. Determine c(n(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/10 + (-40)\/(-2280)*162\/(-30). Let i = 894\/7 + -128. Which is the closest to -0.9? (a) i (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255275 = -5*i - 5*k + 255245, -4*i - 2*k - 22 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1174347.39 to the nearest one hundred.\nAnswer: 1174300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 20 = -2*j. What is the second derivative of -3*s**j + 7*s + s**5 + s wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let u(w) = 5*w. Calculate 6*q(b) - 2*u(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 116388 divided by 1098\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 14*d**2 - 13*d - 8. Let o(w) = w**3 + 7*w**2 + 7*w + 4. Let n be 12\/3*(-15)\/(-12). Let b(u) = n*o(u) + 2*p(u). Is 6 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*m = -8172 + 2919 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-3))\/((-3)\/(-228)) - -1. Let b = 86 - s. Solve -7*l + b*l = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3541251*d**3 - 3*d**2 + 4. Let b be q(2). Round b to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 29*k + 190. Let u be s(-19). Let i = -8 + 26. Solve 15 = -4*c + q, u = -5*c - 3*q + 4*q - i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378 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: Let g = -47 + 66. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3371264 - -0.337. What is o rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 0 - -14) + -2. Suppose -4*t - 6 - 14 = 0, -5*t - 2689 = -f*d. Is d a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from uciccccuiuaaacz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -319.6 + 380. Let a = 54.19 - d. Round a to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0.07, 5624, 2\/85?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let o be (1 - 2)\/(0 + q). Does o = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z - 124. Let w(r) = r**2 + 12*r - 116. Let t be w(-19). What is the lowest common multiple of i(t) and 168?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f - 14. Let x be z(-6). Let a be (-2)\/((-2)\/144*2). Let j = x + a. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 88*n**2 - 221*n**2 + 46*n**2 + 86*n**2. Let c(w) = -7*w - 346. Determine c(z(p)).\nAnswer: 7*p**2 - 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 2.232642.\nAnswer: 4.0187556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -344593*s**2 + 9162*s. Let x(g) = -564*g**2 + 15*g. Let y(k) = 5*q(k) - 3054*x(k). Let b(z) = z. Determine b(y(m)).\nAnswer: -509*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 4*x = -4*u, -3*x + 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1767, -1977, -2177, -2361, -2523, -2657?\n\"Answer: x**3 - x**2 - 214*x - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215 or -197?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5574.435 nanoseconds in minutes?\nAnswer: 0.00000009290725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1529953 - -1529955. Factor -8\/7 - 4\/7*n**3 - 2\/7*n**4 + 8\/7*n + 6\/7*n**d.\nAnswer: -2*(n - 1)**2*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - 4*sqrt(209)*-2 - sqrt(209)))\/(sqrt(11) + -2*sqrt(275) - sqrt(11)).\nAnswer: 7*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -13. Let z be p*0\/(-2) + 2. Solve -4 = z*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - 280\/(-12). Let d = s + -20. Solve 0*b + 3 = d*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -839 + 863. What is the least common multiple of j and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1792 - -1856. Let c = 37 + 2. Calculate the remainder when g is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300)*3*-4.\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 259245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23235 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 + -292. Suppose 6 = -i + 13. Solve -t + f = i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/99 - -92\/693. Let y = 13 - 15. Which is the nearest to y? (a) -2\/3 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 12*h + 32. Let k be x(4). Suppose 4 = 4*v - 16. Solve 0 = -k*u + v*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 254\/2111753?\nAnswer: 254\/2111753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -8, -13, 9, 4, -5, -2.\nAnswer: -13, -8, -5, -2, 4, 9, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 6 - -8) + -7 - -10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151017037 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122221202211 - -12202?\nAnswer: 122221222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2143 + 3249. Does 79 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 13*f**2 + 37*f**2 + 49*f**2.\nAnswer: 76*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4833*r - 30 = -4843*r. Solve -2*n - 2*s = -r*s + 3, 4*n + 2*s = 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14106 (base 8) in base 3?\nAnswer: -22112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwew when four letters picked without replacement from {w: 2, m: 1, e: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(4 + 1 - 4)*(21 + 27 + 8)*(2*o**3 - 4*o**3 - 3*o**3).\nAnswer: -560*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 38*z**3\/3 - 5*z**2\/2 + 3*z + 31. Calculate the smallest common multiple of 15 and s(1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z. Let a(o) = -6*o**2 + 88. Determine a(w(t)).\nAnswer: -96*t**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - (2 - (-9 - -3)\/(-2)). Calculate the highest common divisor of 25 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 14*z**2 - 17*z + 142. Calculate the remainder when 403 is divided by r(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -253 + 264. Suppose c*g - 6*g = -55. What is the second smallest value in 3, g, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4\/5 + 748*m**3\/5 + 31416*m**2\/5 - 334768*m\/5 + 537824\/5 = 0. What is m?\nAnswer: -98, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 0 (c) -89\/6 (d) 0.3 (e) -359 (f) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 5. Let h be n(5). Suppose -g - g + 14 = h. Suppose 4*t = -3*j + j + 214, -2*t + j + 117 = 0. Calculate the highest common factor of t and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/13131 and -91\/70884.\nAnswer: 103419756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r - 50*r - 2*r.\nAnswer: -65*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 9*z**2 - 7*z + 11. Suppose -2*m = -5*m - 24. Let q be h(m). Solve 3*f = 3*l - q, -2*l - 15 = 3*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6289898, 12579822, 18869748, 25159676, 31449606?\n\"Answer: k**2 + 6289921*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.19, -0.06, 2\/17, 3, 7, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = a - 2*d + 5, 4*a + 2 = -2*d. Let j be (-8)\/a*1\/(-2). Solve -2*q - 8 = -j*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 764, 1375, 1986?\n\"Answer: 611*u + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 163 and -515.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 13) + (3 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 2618055116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1385, -1393, -1415, -1457, -1525, -1625, -1763, -1945?\n\"Answer: -k**3 - k**2 + 2*k - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 - (-1 - 0). Suppose -k + 7*k = 0. Suppose k = -0*l + 5*l. Sort -5, l, t.\nAnswer: -5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -656 and -846.639?\nAnswer: 555395.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639579.243 rounded to the nearest one thousand?\nAnswer: 2640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1825 + -1813. What is the remainder when 549 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9315*l**3*r**2 + l**3 + 865*l*r + r wrt r?\nAnswer: -18630*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ee (base 15) to base 7.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6485.103l in millilitres?\nAnswer: 6485103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197\/534 + -18\/89. Let g(x) be the second derivative of 0*x**4 - 1\/20*x**5 + h*x**3 + 0 - 2*x + 0*x**2. Factor g(w).\nAnswer: -w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 5*v - 10. Let f be u(4). Let k = f - 24. Let n be (k + -4)\/((-2)\/(-3)). Are -5 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755152457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/358)\/(58\/(-87)). Let t = 170\/537 - q. Solve -3 - t*h**2 - 2*h = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 558 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -254\/35 + 37\/5. Let o = -310 - -315. Which is the closest to -9? (a) 0.5 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3099*j**2 + 25087*j + 3. What is m(8)?\nAnswer: 2363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*c - 793 = 431 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*z = -2*z - 916, w - 229 = 2*z. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225444350 (base 6) in base 13?\nAnswer: -b38cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 5*s - 12. Let c(r) = -r**2 + 1. Let m(t) = 6*c(t) + z(t). Suppose 12*l + 5*d = 13*l - 20, 0 = 4*l - d + 15. Calculate m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 6. Let x(c) = 85*c**2 - c. Calculate x(k(m)).\nAnswer: 85*m**2 - 1019*m + 3054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4959 and 19152.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19888836851714.999996677 - 19888836843718. Let l = 7997 - o. Round l to 7 dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11014, 11009, 11002, 10993?\nAnswer: 10982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x + 2. Let c(d) = 21*d - 7. Calculate -2*c(b) - 5*s(b).\nAnswer: 13*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1284640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*(2*q + 3*q - 6*q) + (-q + 2*q + 7*q)*(1 + 2 + 1) + 1 - 1 + 3*q as d + n*q and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 2942 = -46*u + 2*u + 2308 for u.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2671 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/4)*d*d*d*d\/d**(2\/15))**17\/(((d**(-4\/9)*d)\/(d\/((d**3*d)\/d)))\/(d**5*d\/d**(-2)*d)) assuming d is positive.\nAnswer: d**(15287\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -25. Let n = -51 + s. Let u = -60 + 108. What is the greatest common factor of u and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1283*g**2 - 19*g**3 + 10*g**3 + 7*g**3 - 227*g**2 + 97*g**2 to the form q*g**3 + j*g**2 + m + y*g and give j.\nAnswer: 1153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 3366 + 14336 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h + 0*h**2 + h**2 - 2*h**2 + 6. Let i be a(10). Suppose 6 + i = 3*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*g**2 + 4*g**3 - 773*g**2 + 382*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 + 256*c\/9 - 3058\/9.\nAnswer: 2*(c - 11)*(c + 139)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10182450 is divided by 396?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 0, -4*t - 4*c = c - 20. Calculate the greatest common factor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 6\/((-1)\/(-1)))*5. Solve -6*m + a = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 + 729 = 10*t. Suppose 3*p + t = 5*p. Let u = -411 + 426. What is the remainder when p is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2836 by -4.\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 273257205 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061805?\nAnswer: 3, 5, 71, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**5\/60 + 13*a**4\/24 + 2*a**3\/3 - 2*a**2 - 289*a. Calculate d(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*o**3 + 29 + 443*o**3 - 31 to u*o**3 + a*o + k*o**2 + v and give u.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -324.5? (a) -18 (b) -3 (c) -2\/91 (d) 11 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -3*t + 5*t. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 1.21287?\nAnswer: 1.01287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -12025415 in decreasing order.\nAnswer: 5, -3, -12025415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 6712 = -1168. Suppose -6*l + 155 + 43 = 0. What is the highest common divisor of l and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m + 5. Let s be b(5). Suppose -5*a + 25 + s = 0. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/16 - 2\/8. Let n = -2.4 + 3. Let x = n + -0.4. Which is the nearest to 0? (a) x (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/w**(3\/7))\/w))*w**(1\/10))**(-13\/6)\/(((w*w**(-3))\/(w**(4\/7)\/w))\/((w*w**(1\/2))\/((w*w**3\/w)\/w*w*w))) assuming w is positive.\nAnswer: w**(-13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -80, -3*l - h + 67 = 19 + 29 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (20\/12 + -2)*9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(288) + sqrt(288))**2 + (sqrt(288) + -1)*4 + sqrt(288))*-4.\nAnswer: -9200 - 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:44 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/801 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)\/(d\/(d*d**(-1\/3))*d))\/(d**(2\/13)*d**4))\/((d*d**(1\/6))\/((d*d**(2\/3))\/d))**(-5\/9) assuming d is positive.\nAnswer: d**(-8065\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 + (0 - 1) + 2. Let r = -82 + 75. Which is greater: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -553*o - 3. Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1602, 1600, 1596, 1590, 1582?\n\"Answer: -v**2 + v + 1602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64464725*x**4*z + 3876282*z - 4 wrt x.\nAnswer: 257858900*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 42*c**2 + 80*c + 3. Determine y(40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 4*f - 370. Let s = f + 122. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-1*-3)\/sqrt(10)*6)**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -26*o - o. Let c(w) = 8*w**3 - 5*w**2 + 6*w - 5. Let i(b) = 7*b**3 - 4*b**2 + 5*b - 4. Determine o*c(m) - 5*i(m).\nAnswer: -3*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*i + 3*i - 14, 0 = j - i - 10. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -24*s. Let h(l) = 2*l**2 - 1802*l. What is d(h(a))?\nAnswer: -48*a**2 + 43248*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 101557 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.65, -258, -5?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3202012 + 11?\nAnswer: 3202023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3080 = -13*l - l. Suppose 0 = -46*t + 50*t - l. Calculate the remainder when t is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4930.81533 seconds in weeks?\nAnswer: 0.008152803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuzxexyqyu. Give prob of sequence uy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 less than -3192092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*(-4 + 4 + -12 - -10). Let m(z) = 7*z**3 + 5*z - 5. Let v(u) = 6*u**3 + 6*u - 6. Give n*v(w) + 6*m(w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4196, -4245, -4356, -4523, -4740?\nAnswer: -5001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 10. Let b = 14 + r. Let k(p) be the second derivative of -p**2\/2 + 2*p. Let l(x) = -x**2 - 2*x + 6. What is b*l(y) + 5*k(y)?\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-105))\/(-1))\/(2\/(-6))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15402 - 10310. Let v = -3029 + q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 908540 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 919*u*v + 4195*u - 6189*v + 652 wrt v?\nAnswer: 919*u - 6189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/1602 and 151\/18?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 19*k**2 - 17*k + 17. Let c be v(-18). Is -12\/17 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b**3 + 503*b**2 - 2*b + 38. Let w(d) = 3*d**3. Let h(t) = g(t) + 2*w(t). Find the second derivative of h(n) wrt n.\nAnswer: -12*n + 1006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14117 - -34616. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 - -5) - (30 + -25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3660 = -3*z - 3*u, z + 544 - 1770 = 5*u. What is the remainder when 2467 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5*i - 181 + 176, 5*c = 2*i + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 429, -18\/8639 in ascending order.\nAnswer: -18\/8639, 1, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*o = -0*o - 16, -8 = 3*s + 4*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1758*x - 56233. What is d(-32)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x = 30*x + 3*b - 40, -x = 5*b - 92 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + 2*s)*(1 + 0 + 1) + (0 + 5 - 3)*(3 - 3 - s) - s + 0*s + 2*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -75941341 divided by 1\nAnswer: -75941341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -8\/57119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1530151 and 17696?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -500, -1738, -4160, -8162?\nAnswer: -14140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16*l + 146. Let b(f) = 114*f + 904. Let k be b(-8). Let t be w(k). Let a be 12\/((-1)\/((-18)\/4)). Calculate the greatest common factor of t and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*l + 194, -5*l + 5*f - 3*f = -328. Calculate the greatest common divisor of 330 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15318 + 15318 + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 437624*a + 23939345672.\nAnswer: 2*(a - 109406)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - 18*i**3 + 16*i**2 - 8*i**2.\nAnswer: -24*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305.000631 + -305. Round y to five decimal places.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, 5, 45, 85, 125, 165?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-116)\/80 + 20\/16 and -13\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4642*i = 4640*i - 6, 0 = -3*i - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/27, -8922, 0.4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/8)\/((-7)\/(-546)). Suppose -t + 0*p + 3*p = -a, -67 = -2*t - 5*p. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2897 is divided by 812.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040335613 to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227836611?\nAnswer: 3, 1327, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24314 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336.7224 litres to millilitres.\nAnswer: 336722.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1100\/(-140) - (-678)\/791?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.314 to 2 decimal places.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*c**5\/5 - 84*c**4\/5 + 21*c**3\/5 - c**2\/5 = 0. Calculate c.\nAnswer: 0, 1\/16, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -4\/31, -0.5, 2, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 11*b - 35 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - i - 1. Let s(q) = -2*q**2 - 3*q + 9. Let x(p) = s(p) + 3*t(p). Suppose -26*n + 8 = -24*n. Calculate x(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 10:32 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z. Let f(t) = 17*t. Let a(u) = 3*f(u) - 12*g(u). Let y(d) = -4*d. Give y(a(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 9 - 19 + 1 - 1 + 1 + (-3 + 1 + 0)*(0 + 4 - 2))*(2*j**3 - j**2 + j**2) in the form i*j + x + b*j**3 + k*j**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61825 + cc?\nAnswer: -61748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1605*q**3 - 3710750*q**2 - 2144796160*q + 13363360.\nAnswer: -5*(q + 1156)**2*(321*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 3. Let a(k) = z*k**2 - 2*k + 20*k**3 + 2 - 6*k**3 + 42*k**3. Is a(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:59 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**2 + 5*s + 1. Let o(r) = 0 - 3*r + 8*r - 4 - 6*r. Calculate 2*m(c) + 3*o(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -9 (b) -3 (c) 116.8 (d) -0.3 (e) 0.441\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6600)\/(-2200))\/((-1)\/13)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 510\/8 + 1\/4. Suppose 4 = -g + 12. Calculate the highest common factor of b and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - -35. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1143\/35 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*r**3 + 139*r**3 + 100*r**3 + (-4*r + 3*r + 0*r)*(2*r - 2*r**2 - 2*r) as j + z*r**2 + k*r + w*r**3 and give w.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.826 + 0.174. Which is the nearest to -3.3? (a) -0.5 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -37*k**3 - 2*k**2 + 2*k + 2. Let b be g(-2). Suppose -b = -4*u - 7*u. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -720094, -1440299, -2160504?\n\"Answer: -720205*w + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v - 9. What is the lowest common multiple of 12 and m(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5 - 624*s**4 + 12780*s**3 + 295856*s**2 + 1383186*s + 1100736 = 0.\nAnswer: -7, -1, 39, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by 684\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -14961*f - 1513. Is d(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137948*z**3 - 1814*z**2 - 337695595*z?\nAnswer: 827688*z - 3628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 17587210?\nAnswer: 404505830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2626*y**2 + 962*y**2 - 1694*y**2 - 3253*y**2)*(-6*y + 4*y + 0*y) to w + z*y**3 + s*y + k*y**2 and give z.\nAnswer: 13222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -176587 (base 9) in base 6?\nAnswer: -2204254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/6961, -3, -5, -6.\nAnswer: -6, -5, -3, -3\/6961, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15124 by 796.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8*663\/(-156)*1\/(-4)*-2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14971 (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*1*sqrt(208)*-1)\/((sqrt(4) - sqrt(8)\/sqrt(2))*-2 + (sqrt(36) - sqrt(108)\/sqrt(3) - sqrt(36))))**2.\nAnswer: 832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 242*z + 5716. What is p(-33)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3290296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.00611.\nAnswer: 0.01833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 5)*(140*f + 22*f - 13*f + 3*f - 2*f - 2*f + (-2 + 3 + 1)*(2*f - 2*f - f)) to s + y*f and give y.\nAnswer: -1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 4*m**2 + 5*m - 1. Let n(l) = -l**3 + l**2 + l. Suppose 8*c = 10*c + 5*o - 28, 4*o - 28 = -3*c. Give c*n(d) - w(d).\nAnswer: -2*d**3 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5978a7 (base 12) in base 5?\nAnswer: -332203114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1059889 + -1176476647\/1110. Find the common denominator of -83\/1110 and h.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8885 + -21.8435. Let u = 40 - 19. Let b = u + c. Round b to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25637, -25660, -25681, -25700, -25717, -25732?\n\"Answer: x**2 - 26*x - 25612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 5. Let h be f(-2). Solve 0 = 4*z - h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 597, 0.1, 669, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(70) - sqrt(70))\/(1*(sqrt(40) - sqrt(10)) - sqrt(10) - sqrt(10)) + -4*(-5 + sqrt(7)*-1*3))**2.\nAnswer: 600*sqrt(7) + 1975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11712\/5 + -46787\/20. Find the common denominator of 21\/1364 and p.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11429002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 82*o + 66. Let d(g) = 50*g**2 - 21*g - 3. Give l(d(t)).\nAnswer: 4100*t**2 - 1722*t - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 289?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24947327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 14645620?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*a = 106*a + 120. Suppose -a*y = -32*y + 15448. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 59. What is k(15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 407216106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 15. Let h(o) = -o - 1. Let t(n) = 6*n + 6. Let q(j) = 5*h(j) + t(j). What are the prime factors of q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 168095965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -163861.8 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1250 + 288307?\nAnswer: 287047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 10376977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/10)\/(3\/(-6)) - 235. Let s = 426 + h. Is s a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54747 and 0.154952631.\nAnswer: -54746.845047369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 114\/(-8)*16\/120*-10. Suppose s - m = -y + 4*y, -5*y = 2*s + 17. Let r be 2*(-2 - (-4 + 1)). Which is the nearest to 2\/11? (a) r (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 3. What is w(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l - 10*l + 12*l)*(4 - 11 + 2) + (0*l - 2*l + 0*l)*(-2 - 3 + 4) - 3*l + 1 - 1.\nAnswer: -81*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3\/3 - 19*j**2\/2 + 100*j + 283. Let q be s(4). Solve q + 0 = -8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2 - 57. Let l = x + 56. Let n(o) = o**3 + 3*o**2 + 2*o + 1. Let g be n(-1). Which is the biggest value? (a) l (b) g (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, 2\/7, 1\/60, 5?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/12 + 2*s**2. Let d(y) be the third derivative of y**5\/15 + 5*y**2 + 12. Calculate d(l(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 6 + 0 = 2*n, 5*a - 13 = -2*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 = 0, 382*i = 2*q + 384*i - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*m**2 + 477*m + 227529\/2.\nAnswer: (m + 477)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0681 times -3?\nAnswer: -0.2043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3480 (base 9) in base 10?\nAnswer: -2583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 72452.59nm?\nAnswer: 0.00000007245259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**4 - 244*z**3 - 2316*z**2 + 2644*z + 43120 = 0.\nAnswer: -49, -11, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201145*v + 25595*v - 401933*v - 69923*v.\nAnswer: -647406*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*z - 66*z - 254 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from {j: 1, a: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from ttgmtltgglglgllg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 832840 and 80?\nAnswer: 1665680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 238*x - 19. Let y be w(1). Let b = -200 + y. Calculate the remainder when 27 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1198 - -1200. Let x(h) be the first derivative of i + 4\/3*h**3 + 2*h + 0*h**2. Differentiate x(v) wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, -488, -1443, -2894, -4907, -7548, -10883?\n\"Answer: -11*w**3 - 149*w**2 - w + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720727 to the power of 1\/2, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 14 = -10. Let s = 33 - h. Calculate the greatest common factor of s and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 6*x + 1. Let r be u(7). Let z be 6 - ((-24)\/(-7) + 9\/(-21)). Suppose -l + 2 = -j, -5*j + z*l - 10 = -l. Which is greater: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200342 and 5014?\nAnswer: 4607866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) + (-1 - 1). Sort -1, t, 4 in descending order.\nAnswer: 4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411567548 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 139*v**2 - 389*v + 151. Determine l(-49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 1 p when three letters picked without replacement from {b: 4, p: 1, h: 3, s: 4, v: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2393931*x**3 + 492*x**2 - 2*x - 27*x**2 + 2393930*x**3 to m*x + c*x**3 + d + q*x**2 and give q.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44763598.\nAnswer: 2, 11, 2034709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 40 + 6 + 53.\nAnswer: -4*x**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 38 = -4*d. Let g(l) = l**2 + 2*l + 1. Let q(n) = 6*n**2 + 15*n + 8. Let h(o) = d*q(o) - 4*g(o). Give h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(1 - 1 - 2*b**2) - 83*b**2 + 173*b**2 - 120*b**2 + 2*b**2 - 4*b**2 + 3*b**2 to the form w*b**2 + x*b + s and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(7) + (sqrt(7) + -2*sqrt(7) - sqrt(7))))**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**5\/12 - j**4\/24 - j**3\/6 + 7*j**2. Let g be h(2). What is the greatest common factor of 136 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 15. Let g = -29 - -26. Calculate the common denominator of 11\/12 and ((-2)\/x)\/(g - 699\/(-237)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r = -6. Let i be r\/6 - (-4)\/(-12). Suppose 6*t - t - 10 = i. Solve -q + 2*j + 2 = 0, t*q + 5*j = -12 - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**6*h))\/h*(h*h**(-12\/7)\/h)\/h*h*(h*h**3)**(-29) assuming h is positive.\nAnswer: h**(-873\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4432*w. Let j(d) = -4*d**2 - 49. Give z(j(i)).\nAnswer: -17728*i**2 - 217168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -55.4, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 46. Let k be (-16)\/(-6)*(-39)\/n. Suppose 0 = -0*d + 4*d + k. Which is smaller: d or -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77642630.584 plus -5?\nAnswer: 77642625.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(9\/90). Sort v, -3, -1, 3 in descending order.\nAnswer: v, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6393676 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 40*z**2 - 114*z + 226. What is i(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 4 (b) -6\/13 (c) -1\/2 (d) 39 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**6)*s\/s**2*s*s**(-2)*s*s**(-2\/7))**(-21\/5))**(-7) assuming s is positive.\nAnswer: s**(546\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -75 + -889?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least 19662.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -46, -1.8, 4, 3\/7, 7 in increasing order.\nAnswer: -46, -1.8, 3\/7, 3\/5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 95?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.29916 + -0.3. What is c rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 8, -93.017?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3059 and 20976?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baz when three letters picked without replacement from zzazzzkkbzbbzbz.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0 + 52*k**2 + 3\/2*k**3 + 1\/24*k**4 + 0*k. Let t(j) = -2*j. Calculate m(t(b)).\nAnswer: -2*b + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -0.5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(1100) - sqrt(1100)))**2.\nAnswer: -180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 16*k + 6*k + 9*k + (-4 + 3 - 1)*(-2*k + 3*k - 2*k).\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -7630.\nAnswer: -152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110883 a multiple of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 19. Let h = -23 + k. Let s(v) = v**2. Let y be s(h). Solve -y = 5*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - -7. Let f = 59 - y. What is the second derivative of -2*d**f + 32*d**4 - 3*d - 4*d**4 wrt d?\nAnswer: 312*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.87718 + 146.11882. Let u = k + -147. What is u rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2568)\/34133*-5*55\/(-100)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 798, 797, 796, 795?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 6464 + 6463 + 18*m**3 + 20*m**3 - 13*m**2 + (2*m - 3*m + 2*m)*(m + m**2 - m) to the form i*m**3 + x + w*m + z*m**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*j - 413 = -429, 4*j = f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3026 + 3026 + 41*q)*(-4 - 2*q + 4)*(-38*q + 32*q + 34*q)*(6*q - 2*q - 2*q).\nAnswer: -4592*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/36)\/((-6)\/(-9))*4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56513568 divided by -3?\nAnswer: 18837856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 316504 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6. Let q(g) = 3*g**3 + g**2 - 1. Let r be q(2). Let u = r + -53\/2. What is the closest to a in u, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, -3, 3, 2, -1, -116.\nAnswer: -123, -116, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**2\/p*p*p**(-3))**(-41) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131603\/4 + 32901. Let i(w) be the second derivative of 1\/2*w**3 - 20*w + 0 - w**2 + p*w**4. Give i(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31353 is divided by 224?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2538896609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1303*i**3 - 4 + 820*i + 4 - 1296*i**3 - 1639*i + 819*i.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*i - 19. Let j be 4\/i + (-37)\/(-3). Suppose -5*n + g = -j - 33, -3*n = 2*g - 38. Calculate the remainder when 19 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11*q**2 + q - 9. Suppose 4*p = p + 12, -4*p = -5*m - 36. Let h be r(m). Let f = h + 1321\/7. What is the smallest value in 5, f, 3, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:44 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11309 = -17*c - 11105 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 300 = 2*d. Let w be -1 + d\/(-75) + -1. Let s = -8\/25 + w. Sort 1\/4, s, -1 in increasing order.\nAnswer: -1, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799.4551mg in nanograms?\nAnswer: 799455100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1194*z - 302 wrt z?\nAnswer: -1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b - -104b0?\nAnswer: 10453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 4. Let p be j(3). Suppose 3*z = -3*k + 18, -3*k + 2*k = p*z - 11. Let h be -2*(5 + (-45)\/6). Solve 3*m - 4 = 2*v - h, -z*v + 4*m = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 135*o**3 + 357*o**2 + 584*o - 2. Differentiate k(f) with respect to f.\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**3\/6 - g**2\/2 - 3*g. Calculate the remainder when 7 is divided by y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/10 + (52 - 46)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003 - -101?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 44 and 6187\/143 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**1)\/r)\/(r*r**(3\/4)*r))\/(r*r**4*r**(2\/11))*(r**0\/r*r**0)\/(r*r**(-1))**2 assuming r is positive.\nAnswer: r**(-349\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*q = 16, b + 6 - 1 = -5*q. Let k(o) = 0*o + 2*o + 2 + 1 - o. Let m be k(b). Put 0, m, -0.2 in decreasing order.\nAnswer: m, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 470162 and 115588?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 1539?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(25)\/(sqrt(605)*-1))**2 - (sqrt(20)\/(sqrt(4) - sqrt(144)) - (2 + sqrt(5) + 5))**2.\nAnswer: -30951\/605 - 84*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -404, -645, -884?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -23 - (-14 + 25 + -8 + -4) - 9\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 84*m - 3. Let z(x) = -x**2 + 8*x + 4. Let d(a) = 4*a**2 - 30*a - 15. Let h(k) = -4*d(k) - 15*z(k). Give h(t(o)).\nAnswer: -7056*o**2 + 504*o - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f**3 + 26*f**2 - 20*f - 8 = 0. What is f?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2823716?\nAnswer: 2, 7, 100847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3343999, 3343998, 3343997, 3343996?\n\"Answer: -a + 3344000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2010203333332101 + 2?\nAnswer: -2010203333332033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 14 = -2*c, -4*c = g - 8*c - 22. Let h(r) be the second derivative of 0 + 0*r**3 + r + r**g - 1\/4*r**4. What is the derivative of h(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1918 + 2110. What is the greatest common factor of o and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 140b041 + 2?\nAnswer: 140b043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2637*x**2 - 182. Let q(b) = -2638*b**2 + 152. Give -5*k(v) - 6*q(v).\nAnswer: 2643*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 0 + 71 + -81?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, 1, 7, 0.7, -0.3, 0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*i - 73. What is the remainder when i is divided by (-53)\/(-4) - (7 - 216\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/22 - 184\/(-44). Suppose -2*h + 8 = k*b + h, h = -4. Suppose -68 = -4*i - 4*z + 92, 0 = 5*i - b*z - 150. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - -2) + -1*(-1)\/1. Let o(z) = -z**2 + 11*z - 5. Let j be o(n). Is j < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m\/(m*(m*m**9)\/m)))\/((m*m*m**12\/m*m)\/(m**(-10)\/m*m)) assuming m is positive.\nAnswer: m**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0*p**3 + p + 0*p**4 + 0 + 1\/21*p**7 + 0*p**2 - 2\/15*p**6 + 1\/10*p**5. Find z, given that m(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26635 divided by 6\nAnswer: 26635\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - 170\/35) + 111\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/9)\/(4\/(-214)). Let l = f - 12. Let a be -1*12\/(-18)*-3. Sort -1, a, l.\nAnswer: a, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327150.\nAnswer: 2, 3, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1766*v - 1765*v - 1537657 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*-1*1.\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d - 3*d)*(0*d - d - 2*d + 3*d + 0*d - 5*d + 2*d + 0*d + 0*d + (-3 + 4 - 2)*(3 + d - 3)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735526 divided by 2.\nAnswer: 367763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**2. Let o(h) = -6*h**2 + 5*h - 5. Let j(i) = -3*i**2 + 3*i - 3. Suppose 0 = -7*s + 9*s + 6. Let t(g) = s*o(g) + 5*j(g). Calculate t(u(l)).\nAnswer: 192*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 1, q: 1, d: 1, f: 1}. What is prob of picking 3 v and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, -2\/3, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**3 + 4*w**2 + 2*w + 2. Let i(s) = -15*s**3 + 9*s**2 + 5*s + 4. Give 2*i(z) - 5*r(z).\nAnswer: 5*z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.8 - 11.1. Let v = -3.04 - u. Let r = 0.26016 - v. Round r to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a + 8. Let p(j) = -1. Determine -m(f) - 4*p(f).\nAnswer: -11*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.64 - -0.36. Let b = f + -7. Let n = -10.39 + b. What is n rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2709 and 26431326.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14152079*h**4 - 1700719*h - 1 wrt h.\nAnswer: -169824948*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 397661 and 0.5891.\nAnswer: 397661.5891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-6) + -4)\/(5\/(-10)). Suppose -602 = d*y - 2213. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 23*y = 54. Suppose -5*j + 1978 = x, x + 680 + 502 = y*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 1758\/29?\nAnswer: 1758\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/(-465)*(-10)\/9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 11*o + v - 28 = 0, -5*o + 5*v + 40 = 0. Suppose -o = -k - 1, k - 85 = -4*i. Calculate the remainder when 54 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -374 and -0.02.\nAnswer: -374.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s + 4, 5*s = 2*r + 20. List the prime factors of 2\/5*5 - (-120 - r).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let o(i) = i - 3. Suppose -v = -3*v + 2. Let w(h) = v*o(h) + 3*j(h). Suppose 0 = -2*l + 11 - 15. Calculate w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-20)\/9) + 204\/54. Suppose -j = b - 52. What is the remainder when b is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -16b857?\nAnswer: -16b851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*r - 28416 = 388*r - 104*r for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011342 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2795 + -2802. Let a(v) = -13*v**3. Let j(i) = 26*i**3. Determine q*a(k) - 3*j(k).\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0*b**3 - 1\/42*b**7 - 1\/4*b**4 + 0*b**6 + 0 + 0*b**2 + 2*b + 0*b**5. What is the third derivative of r(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1907 + -1858. Solve 0 = -4*o - t + 29 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 + (-105)\/(-25). Suppose 30 = 4*p - 62. Let t = -15 + p. Solve 0 = 3*x + h + t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(98)*1)**2 + sqrt(98) - ((sqrt(2) - (-2*sqrt(288) - sqrt(2))) + (sqrt(6)\/sqrt(3) - sqrt(2))**2*-3)) + -4*(-2 + ((1 + sqrt(2))*-2)**2)*-2.\nAnswer: -25*sqrt(2) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 348\/(-7) + 5 - (-4)\/(-14). Let u = 49 + j. Determine z, given that -2\/13*z**3 + 4\/13*z**2 + 0 + 2\/13*z**5 + 0*z - 4\/13*z**u = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48648 divided by -8?\nAnswer: -6081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 631 = -1. Let a be (-1854)\/m + (-4)\/(-14). Let v = a - -22. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2\/j*j)\/j*j)**45\/(j**(-1\/10))**(6\/17) assuming j is positive.\nAnswer: j**(7653\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*t - 28. Solve -r + t = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 42296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1*((-165)\/(-40) - 0).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/64 and ((-20)\/(-64))\/((-1)\/(-30)) + 0.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45017364 + 2600.\nAnswer: -45014764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1122 + -5?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 7 - (-1)\/1. Put 10, z, 5 in descending order.\nAnswer: 10, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200 - 195.95. Round z to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/t**(-1\/14))\/t)\/(t**(1\/23)\/t))\/((t\/t**12*t*t*t)\/((t*t*((t**(-10)*t)\/t)\/t)\/t)))**(1\/71) assuming t is positive.\nAnswer: t**(9\/22862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 0, -86, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -670, -0.2, -3 in decreasing order.\nAnswer: 69, -0.2, -3, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 340950294 divided by 786?\nAnswer: 433779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*15\/(-10)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = 0, -i - 28 = -5*t + 8. Suppose -n + t*n - 60 = 0. Suppose s + 1 = 2*c - 5*c, -4*c - n = -3*s. Solve 4*r - s - 18 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*n = 55, 29*a - 5*n + 37 = 25*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105013 (base 14) to base 2.\nAnswer: 10000110101010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/4 - 2*t**3\/3 + t**2\/2 - 2*t - 28. Calculate w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9860 divided by -9?\nAnswer: -9860\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 893*v**4 + v**3 + 729*v**2 wrt v?\nAnswer: 21432*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 41 + 5*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1309)\/(-119)*(-4)\/(-22). Solve -o - o - 5*t = -8, 2*o - d*t + 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 5*u**2 + u**2 + ((0 - 2 + 3)*(u + 2*u - u) - 5*u + 3*u + u)*(-3*u + 5*u + u))*(1 - 1 - 1).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -8. Let l = f + -9. Let s be -2*(2 + l + 1). Sort 4, s, 2 in ascending order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3156*s - 2978*s + 2136 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1770083197 to the nearest integer?\nAnswer: 42072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y**3\/2 + 33*y**2 + 75*y\/2 - 6 = 0. What is y?\nAnswer: -1, 1\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdsjdedd. Give prob of picking 1 s and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 91791601?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, x: 7, l: 2}. Give prob of picking 1 v and 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7832)\/623)\/(4\/(-518)). What is the greatest common factor of u and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 + 6*l + 4. Let g be (-2*10\/(-80))\/((-1)\/(-12)). Calculate s(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:37 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1358 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 2618.18\nAnswer: 1309.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/171 and -73\/26.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 41\/4. Suppose 27 = -5*r + 14*r. Suppose -10 = -2*w - r*w + 3*s, -3*w + s = -10. What is the biggest value in p, w, -1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-694)\/(-6))\/(4\/(-6)). Let l = w - -180. Find the common denominator of l and (-205)\/(-238) + -1 + 36\/28.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67180 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 59847257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 6. Let i(d) = d**3 - 5*d**2 - 5*d. Let q be i(6). Let b(h) be the first derivative of h - 12. Determine q*b(o) + u(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-35)*21)\/(4\/(-10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**6\/30 + 7*k**5\/10 + 5*k**4 + 25*k**3\/3 - 125*k**2\/2 - 3*k - 11. Factor i(x).\nAnswer: (x - 1)*(x + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 40\/(-4)*1. Let j = k - 3. Sort j, 3, 1.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57, -28, 1?\n\"Answer: 29*f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -2\/9 (c) 4\/5 (d) -1 (e) 0.171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -27. Let q(w) = 5*w - 36. Let k be q(4). Are k and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*h - 260 = 0, 47 = 5*m - 5*h - 278. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -211. Let h = p + -53. What is the remainder when 96 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88575.6 years in decades?\nAnswer: 8857.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10523 and -3.\nAnswer: 31569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 224 = o - 16, 4*o = 2*p + 208. Let a = -96 - p. Let j be 2\/(-6) - 219\/(-9). What is the greatest common divisor of j and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3569 - 3503. Calculate the remainder when 139 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 12022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -410814 + 410814.07000048. Let i = 0.07 - r. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.34 + -10.34. Let n = 89.5 - 80.39. Let q = n + l. Round q to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-14) - 2664\/(-2590). Solve 3\/5*f**2 + r*f**3 + 9\/5 - 3*f = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 133851.3 years?\nAnswer: 13385.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3305333 - 0?\nAnswer: -3305333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4491 + 1204. Let r = b - -3286.96994. Let v = r + 0.03. Round v to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Suppose -u + 3 = -0*u + i*x, x + 37 = 3*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -803 and -1263.\nAnswer: 1014189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (4 - (-64)\/(-10))*5\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19296\/4690*(-140)\/(-112)?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 7066*c + 4*c**2 - 3867*c + 618 - 3819*c - c**2 - c**2 = 0. Calculate c.\nAnswer: 1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401 is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*y = -16, 0*w - w - 3*y = -16. Let q(i) = -1 + w + 0 + 5*i**2. Let x(r) be the third derivative of -r**5\/60 + 26*r**2. Give x(q(b)).\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 31*q**3 + 6*q**2 + 4*q. Let v(b) = 30*b**3 + 5*b**2 + 3*b. What is 3*t(h) - 4*v(h)?\nAnswer: -27*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810.2*-0.4.\nAnswer: 324.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from laaadxduladaxlp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(-t - 3*t + 5*t) + 2*t - 6*t + 2*t)*(-3 + 4 + 1).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 960*w**2 + 133\/5*w**4 - 3\/5*w**5 + 0 - 342*w**3 + 800*w = 0. Calculate w.\nAnswer: -2\/3, 0, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 15*q + 24. Let b = 1951 + -1968. What is z(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 678*f**5\/11 + 2016*f**4\/11 - 4122*f**3\/11 - 5316*f**2\/11 + 144*f\/11 = 0. Calculate f.\nAnswer: -4, -1, 0, 3\/113, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 1, j: 4, g: 1, a: 1}. What is prob of picking 2 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = y - 8, 3*y + 0*w + w - 4 = 0. Suppose -5*n - y*l + 802 = 0, 5*n + 5*l = 7*l + 798. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44859669 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 5}. Give prob of picking 4 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1)*(5 + 6*434) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q**2 + 229*q + 40. Let m(s) = 5*s**2 - 103*s - 19. Let p(v) = -4*i(v) - 9*m(v). Determine p(16).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 8. Let w be m(-4). Suppose 5*c + l - 9 = -w, 8 = -c - 2*l. Find the second derivative of 7 - 2*i - 7 + c*i**2 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.96, -3, -0.5, -90633?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 1, e: 1, o: 1, u: 1}. Give prob of picking 1 u, 1 c, 1 k, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1050*r**4 + 2310 wrt r.\nAnswer: 4200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = i + 4*i + 16, b - 4 = i. Suppose 3*j = m - 16, -j + 8 + i = 3*m. Suppose -n = -3*h + 389, -2*h - 379 = -5*h - m*n. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 17. Suppose 5*m = 7*m + 40. What is the remainder when 2\/8 - (135\/m - 0) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*(-245)\/49.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + 102\/24. Let z = 7 - p. What is the remainder when 16 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257 - 288.1. Let h = -30.9 - k. What is the closest to 0.1 in h, -0.4, 3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 38*v + 40*v + 19, 4*v + 29 = -3*u. Let g(y) = 13*y - 1. Let m(q) = -26*q + 1. Determine u*m(j) - 5*g(j).\nAnswer: 13*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8200*h + 1. Let d(k) = 398*k. Give d(u(f)).\nAnswer: 3263600*f + 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 155*f**2 - 1039*f + 568. What is w(148)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/8, 0.2, 3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 2*p + 14. Let v be s(-6). Let h be 3 - v*4\/8. Suppose -4*k + 2*k = -h. Solve -2*n + k*n - 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 27.31, -4\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f, 2*f = k - 0*f + 4. Calculate the lowest common multiple of 6724 and k.\nAnswer: 6724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -12. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -565 - -560. Let c(l) = 9*l + 5. Let m(j) = 10*j + 6. Determine d*m(y) + 6*c(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:39 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 985\/2 or -2\/3?\nAnswer: 985\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8 + 2 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1751492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*g + 3 = 4, 4*h + 2*g - 14 = 0. Suppose 20 + h = a. Suppose 4*d = 11 + a. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*(o\/(o\/((o\/(o**(-4)*o))\/o)*o))\/o))\/o)\/(o\/(o*(o\/(o*o*o\/o**(-5\/4)))\/o)))**29*((o**(-3))**(-23))**15 assuming o is positive.\nAnswer: o**(3299\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - 517 + 447 - 2552*g to u + k*g and give k.\nAnswer: -2552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 259289, 259288, 259287, 259286, 259285, 259284?\n\"Answer: -o + 259290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + (-11 - -12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -588274*-65\nAnswer: 38237810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 1 + 13*a - 8*a - 2. Suppose 0 = 4*c - 6 + 14. Let j be 15\/5 + (0 - c). Let k(u) = u**2 + 2*u. Determine j*k(i) - 2*l(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94526 or -94442?\nAnswer: -94526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 3:29 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/5 (b) -3 (c) 0.323 (d) -76 (e) -8 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122928 is divided by 3003.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 29 = 0. Suppose 115 = 4*m - 0*r - 3*r, m - r - i = 0. What is the highest common factor of m and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b + 0*b**3 - 9*b**2 - 3\/40*b**6 + 1\/5*b**5 + 1\/112*b**8 - 1\/35*b**7 + 1\/2*b**4 + 0. What is n in g(n) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let u(l) = -9*l - 2. Let w(i) = 3*h(i) + u(i). Suppose -5*m = -3*m - 14. Let k be 4 + m\/(-1) + 2. What is w(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**3 - 8*n**2 + 86*n. Is v(11) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*j - 3 = 0, -3*j - 1 = b + 11. Suppose 3*l = -l + 2072. Let t = l + -3632\/7. What is the closest to 3 in -1\/5, b, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5 (c) -1\/5 (d) -1\/1541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 0*l + 3*l - 5*l + 13. Let v be q(8). Let x(d) = -9*d**3 + d**2 - 8*d. Let k(g) = 5*g**3 + 5*g + 1. Let j(b) = -7*k(b) - 4*x(b). What is j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 1.1. Let d = 0.7 + p. Let i = 0.5 + -2.5. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/15 and -33\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 6*n**2 + 11. Let d be v(5). What is the highest common divisor of d and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.66 + -0.36. Let l = k + -1.9. Let t = -636 - -636. What is the closest to 0.3 in t, -1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) - (sqrt(136) - (3*sqrt(136)*-6 - sqrt(136)))))\/(sqrt(128) + (sqrt(128) - (sqrt(128) - sqrt(128)*-5))).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 90 and -1.6.\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -3.6. Let d = 3 + i. What is the biggest value in 0.4, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/13, -0.03, -112814, 1 in ascending order.\nAnswer: -112814, -0.03, 2\/13, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) 4\/3 (b) 2 (c) 1\/5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 28*p**2 + 6*p - 5. Let m(l) = l - 1. Give -6*m(y) + o(y).\nAnswer: 28*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 20 = 0. Suppose 6*o = o + 5*r + j, 4*o + 3*r - 22 = 0. Solve -o*s - 3 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + 0.23. Let y = -1.07 + -1.93. Sort 1\/8, k, y in descending order.\nAnswer: k, 1\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 116418 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let j be (572\/(-16))\/(2\/8). Let x be j\/22 - (-1)\/2. What is the units digit of v(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224237117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**6\/18 - 13*k**5\/30 + k**4 - 19*k**3\/3 + 7. Let n(v) be the third derivative of h(v). Find s such that n(s) = 0.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0 - 5. Suppose u + 27 = -5*v, 2*u - 5*v = h*u + 61. Let s = -12 - u. What is the greatest common factor of 55 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0 + 0*b + 0*b**5 + 1\/70*b**7 + 3\/4*b**4 + 26*b**2 + 0*b**6 + 0*b**3. What is the second derivative of x(g) wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 8*x - 4. Suppose -3*b = 3*n - 42, -2*n = -6 - 2. Does 4 divide w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**3*v*z**2 + 2*m**3*v + 14*m**3*z**3 - 6*m*v**2*z**3 - 2*v**2*z - 93*v**2 wrt z.\nAnswer: 84*m**3 - 36*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 4, -32 in decreasing order.\nAnswer: 5, 4, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*g - 8, 251 - 243 = -2*z + 4*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 47*i**2 - 228*i + 230. Determine d(41).\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 910 + -1456. Let b = -1436 + 317. Let a = f - b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y + 0*y + 2*y + (-6 + 3*y + 6)*(42 + 37 - 22).\nAnswer: 177*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158614662306925.9999993 + -158614653916454. Let i = z - 8390481. Let b = -9 - i. What is b rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/32*-2*1*-12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13848864, 13848866, 13848878, 13848906, 13848956?\n\"Answer: m**3 - m**2 - 2*m + 13848866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9528, 3, 0 in ascending order.\nAnswer: -9528, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.22 + -13.78. Let r = o + 13. What is the nearest to r in -5, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/170742 and -20\/33501.\nAnswer: 146667378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71850 and 7680?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -3*p + 73. Let n(a) = -7 + 2*a - 40*a**2 - a + p*a**2 - 35*a**2. Let y(g) = 4*g**2 + 2*g - 13. Give -11*n(c) + 6*y(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**3 - k. Let g be p(1). Let i be (2 - 4)\/(g\/(-15)). Suppose -3*s + 8 + 2 = d, 0 = -4*d + i*s + 40. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7*y - 12 = 0. Suppose -y*o = 5*o - 35. Let n(b) = -b**3 + 6*b**2 + 3*b - 7. What are the prime factors of n(o)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2377404 divided by 6.\nAnswer: -396234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -4*o + c, -3*o - 127*c + 130*c = -51. Solve 3*x = 2*d - x + 14, 4*d - o = -2*x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 - -7.91. Let r = 8 - m. What is r rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 44 = -l - y, 23*l - 87*l = -59*l + 2*y + 42 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2\/9 - 32665*n\/9 - 2722\/3 = 0 for n.\nAnswer: -8166, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5*n**2 + 2172*h**3*n**2 + 20*h*n**2 - 2*h*n - 39*n**2 wrt h?\nAnswer: 40*h**3*n**2 + 13032*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 12 = -9*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(1\/4)*l)\/l*l*l**4)**(-2\/7)\/((l\/((l*l*l**(1\/4)*l)\/l))**41\/(l\/l**5*(l\/l**(-5))\/l)) assuming l is positive.\nAnswer: l**(1405\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/72*(-12)\/126)\/((-17)\/9)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/493 - 22768\/7395. Calculate the common denominator of l and 8 + 31234\/(-2088) + 7 + -2*5\/145.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2257238689?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -1\/3*y**3 + 0*y**4 - 1\/30*y**5 + 0 - y**2 + 0*y. Differentiate u(v) with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/(-30) - 2 - -11 - (-448)\/(-20).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/1598? (a) -5 (b) -0.07 (c) -19 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 537*i*t**3 - 8184446*i*t*w**3 + 4*t**3*w**3 + t**3*w**2 + 2*t**3*w - 2*t**2*w**2 - 3*t**2*w - 8*w**2 + 3*w wrt w.\nAnswer: -49106676*i*t + 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 4*o + 7. Give h(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-12)\/8)\/(-3))\/(4\/(-112)). Which is smaller: -13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 7*f**2 + f + 7. Let n be i(-7). Suppose -2*a - 3*j + 18 = -n*j, a - 11 = -2*j. Solve m - 16 = -a*m, -2*g - 2*m + 14 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 24 = -4*l, -r = -l + 3*r + 12. Solve 2*u - u = 2*i + 2, -4*u - l = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**6*w*(w**(-2\/7)\/w)\/w)**(-10)\/((w\/w**(-2))**5)**(-18) assuming w is positive.\nAnswer: w**(1490\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3049\/15 + 1018\/5. Suppose -2*r - r = -6. Let 2\/3 + j*k**r - k = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = m - 6*m + 25, 0 = -5*m + 2*v + 28. Let i be -3 - m\/(9\/3). List the prime factors of ((-93)\/(-6))\/(i\/(-10)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.006, -1\/2, -1.3, 3\/4 in descending order.\nAnswer: 3\/4, -0.006, -1\/2, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.7. Let x = -11\/60 - -7\/20. Let k be 2*1*-2 + 1. Which is the smallest value? (a) k (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 47*g + 24 + 96 = 0, 0*g = 5*j - 2*g - g + 120 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k + 9. Suppose 0 = 9*o - 12 - 6. Suppose 10 = -5*w, -j + o*w + 2 = -11. Calculate the highest common divisor of j and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 9*d**2 + 4. Let z be k(9). Let p be 1*3\/4*z. Suppose 2*r + p*l = 4*r - 157, 0 = -l - 5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134129891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11249*w = -429158 - 369521 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 32*n**2 - 32*n + 78. Let u be g(-33). Calculate the highest common factor of 2205 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4576 divided by 22\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/(-155) + (63\/(-5) - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2*i**7\/21 - 2*i**6\/15 + 4*i**5\/75 + 11*i**2\/2 - 7. Let y(s) be the second derivative of k(s). What is x in y(x) = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3674 + -3613. Calculate the remainder when 79 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -19*z + 48. Calculate the remainder when 167 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1007*u**2 + 6*u - 2. Let v be d(2). Let y = -274593\/68 + v. Find the common denominator of y and 1\/2.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 12:56 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 665 + -895. Let l = -2 - n. Put l, 1\/8, 0 in decreasing order.\nAnswer: l, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 2*u - 3*t + 7, 124*u + 250*t + 296 - 96 = 129*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -233, -4, -0.3, -3\/2, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 21*u + 56. Let v be i(21). Solve 0 = v*r - 52*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*l - 224 = -80*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 9204 = -33*j - 56*j. Calculate the highest common divisor of j and 13689.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4149 divided by -13?\nAnswer: 4149\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6882\/35 - -981\/5. Sort 0.04, -0.74, u.\nAnswer: -0.74, u, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 439172 or -1191?\nAnswer: -1191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, -2, -5, -1448, 4, -14 in decreasing order.\nAnswer: 15, 4, -2, -4, -5, -14, -1448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 17*h - 8827. Suppose -29*s + h = 215. Calculate the remainder when 223 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 9. Let i(g) = -g**3 + 3*g**2 - 6*g. Let a be i(4). Let k be ((-6)\/(-8))\/(5\/a). What are the prime factors of s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 smaller than -5109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = 459*p - 966 - 8898 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-163)\/652 + (33\/14)\/(-12*(-108)\/56)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211122000201 (base 3) in base 9?\nAnswer: -2748021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, 0.2, 3.171, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 6:22 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 497604307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-63) + (-24)\/(-84). Let p = 73\/490 - -5\/98. Put y, 2.3, -0.2, p in decreasing order.\nAnswer: 2.3, y, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -276, -293, -310, -327?\n\"Answer: -17*s - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1156 - 1290.24. Round d to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*a = -24, 0 = 8*a - 7*a. Let r(j) = -4 + 13 - 3*j - k. What is r(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:12 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - -71 - (-1 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10726190\/13 or -825093?\nAnswer: -10726190\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -131480?\nAnswer: -3\/65740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -583 - -583. Suppose -53*q - 1728 + 5862 = x. Calculate the remainder when 464 is divided by q.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000012100 + 1022?\nAnswer: 11000020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 8*a - 15. What is u(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 5) to base 12\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 162000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/59 - 299\/236. Let i = 1 - -4. Let u be -2 + i + 58\/(-18). What is the closest to -1 in -2\/5, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.73947 - -367.\nAnswer: 371.73947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**5 - 105*i**2 + i**4 + 105*i**2)*(1 - 1 - 2).\nAnswer: -20*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 736.3215ml?\nAnswer: 0.7363215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 342?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5\/5 + 11439*z**4\/5 + 6858*z**3.\nAnswer: 3*z**3*(z + 3)*(z + 3810)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5071, -21002, -47555, -84730, -132527?\nAnswer: -190946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*h - 18*h + 408. Suppose -80 = -4*g - g. Calculate the least common multiple of h and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 699297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 + -1 + 3 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o - 1. Let j(f) = 5*f + 1. Let d(a) = 4*j(a) + 3*y(a). Let m(p) = -p**2 + 27*p - 3. What is -3*d(n) - m(n)?\nAnswer: n**2 - 24*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -3) + -2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 bigger than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:54 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 211*s**2 - 140*s + 5139. What is y(105)?\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-18))\/((-2)\/18*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00769792278 to 4 dps.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1\/11, 399, -3, 4, -4\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -2*p + i, 3*p + 4*i = -p - 132. Let a = p + 40. Calculate the least common multiple of a and (18\/15)\/(2\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(240)\/((sqrt(108) + -2*sqrt(108))\/sqrt(9)))\/(5*sqrt(324)*6).\nAnswer: sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 157 = -4*x, -2*i + x + 286 = 2*x. Suppose -3*l + i = 5*w, 4*l + 2*w - 118 = 56. List the prime factors of (l\/35)\/(6\/340).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193327039?\nAnswer: 463, 417553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 2*m**2. Suppose 4*q - 14 = x, 2 = -0*x + 5*x + 4*q. Calculate c(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = -3*n. Let v(y) = -y - 3. Let l be v(-4). What are the prime factors of (1 + l)\/(n\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 1. Let p(g) = -2*g**2 + 6*g + 3. Determine -p(m) - 2*u(m).\nAnswer: 2*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -102? (a) 0.4 (b) -129 (c) -9 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13962*p*s**3 + 18123*s**3 wrt p?\nAnswer: 13962*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0 + y + 0*y**2 - 3\/20*y**5 + 0*y**4 + 2\/3*y**3. Find the second derivative of o(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpzz when four letters picked without replacement from bzzebbzzzezbzwp.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 686 + -650. Calculate the remainder when 90 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from {y: 2, m: 1, z: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2667 and 225.\nAnswer: 200025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 987449 divided by -11?\nAnswer: -987449\/11","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 5)*15\/(495\/(-88)). Let v = -3 - -3. Sort -3, -2, v, u in descending order.\nAnswer: v, -2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((102\/1751)\/(-3))\/(2*2)*218\/(-109).\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 322*r - 324*r + 7, -4*r - 3*v = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 947 divide 136019504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -7*k + 9. Let b be (-12)\/k*(5 + -2). Suppose -4*a + 4*w - 12 = 0, -23 = 3*a + 3*w + w. Is b at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 14*f + 239. Let a be d(14). Let h = 9 - 3. Suppose -a*r - h = -46*r. Solve -2*i = 2*g, -4*i + r = -5*g - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Let t be 40\/(-16)*(-6)\/g. Solve -u + 0*b - 4*b - t = 0, 3 = u - 2*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78445, 2\/3, -1 in increasing order.\nAnswer: -78445, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*q = -j - 4, -3*j + 2*q - 8 = 0. What is the closest to 0 in 0.08, -3\/4, j?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**21\/p*p)\/p)\/p)**(-34)\/(p\/p**(1\/21)*p**(-4\/15)) assuming p is positive.\nAnswer: p**(-22634\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 44*a**2 - 15*a + 81. What is d(-5)?\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -5. Suppose 106*z + 272 = 120*z + 6. Solve h*i + 6 = -z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 7. Solve -3*b = d + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**4 - 4*x**4 - x**4)*(-x + 5 - 5) + 15*x**5 - 3*x**5 + x**5 - x**5 + 7*x**5 - 2*x**5 + (-3 + 3 - 2*x**2)*(-x**3 - 3 + 3).\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*c**2*i*v - 51*c**2*v - c*i*v + 45*c*i - c*v - 2*c + 7*i wrt c?\nAnswer: 152*i*v - 102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -302*q**4 - 193*q**4 - 11 - 1196*q**3 - 33*q + 494*q**4 wrt q.\nAnswer: -12*q**2 - 7176*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(891)*-2 + 5).\nAnswer: -5 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Let i be 1 - 22*q\/16. Suppose 4*r = 2*y - 0*r, 5*y = -3*r - 26. Put y, 2\/7, i in decreasing order.\nAnswer: 2\/7, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -209 and -0.4?\nAnswer: 83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1490446444867.99863 - -1490434806423. Let k = m - -11638499. Let p = k - 54. What is p rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 5344.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**7\/840 + o**6\/90 + o**5\/60 - o**4\/24 - 5*o**3\/6 + 4*o. Let g(n) be the second derivative of t(n). Calculate g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/20 + 5*t**4\/4 - t**3\/3 - 9*t**2 - 7*t + 2. Is l(9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -526\/102727 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 greater than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1289 + -896. Suppose -4*s = -7*s + i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**5 + 3453*n**4 - 131809*n**3 + 442032*n**2 + 118800*n = 0.\nAnswer: -900, -1\/4, 0, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + ((-3*sqrt(162) + sqrt(162))*-1*6 - (sqrt(162) + 0)*2*3) + 1)**2.\nAnswer: -432*sqrt(2) + 5848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 + 7.12. Let g = -15 - 12. Let d be (2*(-3)\/20)\/(g\/(-72)). Put d, b, 0.3 in decreasing order.\nAnswer: b, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -5*b - 123, -47*b - 164 = 4*d - 48*b for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (3 + (-3*sqrt(325))**2 - (sqrt(1053) + sqrt(1053) + sqrt(1053) + (sqrt(1053) + sqrt(1053)*1)*3 + sqrt(1053) + sqrt(1053))**2)).\nAnswer: -124484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3424393 to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1)*30\/12. Let n = t + 10. Solve 0 = -3*m + n + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 - 5 - 8156*g - 15.\nAnswer: -8156*g - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 - ((-24 - -20) + (0 - 2))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 8) to base 6\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(3 + -3 + -2). Suppose -c + 3 + n = 0. Let y be 1 + (-18)\/4 + c. Is y at least -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -146, -296, -498?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 12*i + 9. Let r be m(8). Suppose -z + r = -3*p, 0*p - 291 = 3*p - 3*z. Round p to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5 - 2*m**4*v**3 - 91*m**3 - 194*m**2*v**3 wrt m.\nAnswer: -60*m**2 - 48*m*v**3 - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 14*y = 30. What is the closest to 2\/3 in -0.5, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28626462?\nAnswer: 2, 3, 241, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 172\/(-473) + (-36)\/(-220). Which is the fourth biggest value? (a) i (b) -4 (c) -5 (d) 0.7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*(m**(-2)\/m)\/m*m*m\/m**(-1\/7)*m**(-5)*(m\/m**(-5)*m**(2\/5))\/(m*m*(m*m**(1\/4))\/m*(m*m\/(m**6\/m))\/m) assuming m is positive.\nAnswer: m**(-99\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 52*m - 74. Let c be r(7). Suppose 15*k - 700 = c. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7659929 or 7659931?\nAnswer: 7659929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250 + 76*j**2 - 247 - 5*j + 501 - 5*j wrt j?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*w**4 - 9268*w**3 - 13*w**2 - 154*w + 13217?\nAnswer: 468*w**2 - 55608*w - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24308191433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 755.3813 litres in millilitres?\nAnswer: 755381.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - i + 3 = d, 3*d - 3*i + 9 = 0. Suppose 49 = 3*c - 0*u + 2*u, c - u - 23 = d. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {d: 5, p: 7, a: 6, h: 1}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {h: 4, f: 3, e: 1, d: 2, s: 1, r: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5645, 5816, 5985, 6152, 6317, 6480?\n\"Answer: -q**2 + 174*q + 5472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/16)\/(-3))\/((2296\/224)\/(-41)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -13. Let u = j + -1. Calculate the greatest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26326?\nAnswer: 2, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 + 2335277*k + 3*k**2 - 2335277*k + 14*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (0 - 5) + 1 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a - 35. Give y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 44. Let v be 6\/(-4*4\/j). Suppose v*n = 15 + 33. What is the smallest common multiple of n and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*m + 33*m - 38*m**2 - 944*m.\nAnswer: -38*m**2 - 1324*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*m - 4. Let v = m + 39. What is the remainder when v is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -289\/366 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 25*z**2 - 25*z - 637. Calculate c(-25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaplallpapp. Give prob of sequence ala.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.98 + -2.98. Is 0.24 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1230\/369)\/(25\/60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60.894 * 1\nAnswer: 60.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 3*w - 3. Determine y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -37338?\nAnswer: -4\/18669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 21 = 3*n + 46, 0 = c + 4*n + 18. Let t(k) = 2*k. Let x be t(-3). Let o = -6 - x. Solve -c*r + 3*p - 6 = o, -2*r + 4 = 2*r - 2*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 52\/12)\/((-24)\/54)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -5 - -6) + (-4 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31338.2 kilograms?\nAnswer: 31338200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*w + 29 = 0, -113 - 18 = -2*o + 10*w - 51*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-108)\/(-10) + (-1)\/(-5). Let x(b) = -2*b - 5. Let f(t) = 9 - 2 + 2 + 4*t. Give u*x(h) + 6*f(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/120 and 53\/9000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00118351 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9*v**11 assuming v is positive.\nAnswer: v**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48634 divided by 6.\nAnswer: -24317\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1243 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/5)\/(93\/124). What is the nearest to 0.1 in -3\/4, -2, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 7*b + 5. Let y(g) = g**3 + 4*g + 3. Let h(f) = 3*f**3 - 12*f**2 - 12*f - 11. Let u be h(5). Determine u*s(j) - 7*y(j).\nAnswer: j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1697, -6778, -15235, -27068, -42277, -60862, -82823?\n\"Answer: -1688*z**2 - 17*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 25. Suppose 0*t - 4*t + 22 = 5*l, 4*t = l + m. Suppose t*a = 5*r - 19, 2*r - 3*a + 4 = 17. Solve -r*w - 2*w = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/35*2\/(-8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 32. Let k = -40.042 + 7.672. Let q = k + n. What is q rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -32*s**2. Let a(j) = 0*j**2 + 2*j**2 - 7*j**2 + 6*j**2. Determine a(g(v)).\nAnswer: 1024*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from mwhmwiimwsiwwiw?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 1, -0.058?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (143906\/76)\/((-3)\/(-6)).\nAnswer: 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -19. Suppose -r + 5 = -c. Solve c*w + 6 = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*i - 8 = 0, -2*i + 46 = o + 29 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:27 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:36 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 4. Let r(q) = 13*q - 7. Let u(t) = 11*i(t) - 6*r(t). Let d be u(-6). Suppose -3*a - m - 7 = -27, 22 = 4*a - m. Is d at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 544.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 555908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950935 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44 (b) 100 (c) 1\/3 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(-18)\/(-12)*(-28)\/42.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 6 - 6 - 4*t + 6 to the form s + i*t and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7778615 nanometers in centimeters?\nAnswer: 0.00000007778615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -286, -617, -1080, -1675, -2402, -3261?\nAnswer: -4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -16*s**2 + 3*s - 4. Determine x(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/8)\/(1\/(-2)) - 7. Let l be g - (3 + (-494)\/2). Suppose -3*s + 675 + l = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 740 (b) -1\/753 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44734582 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/12 - 5 - 8\/30. Let v = 330 - 896. Let x = v + 11884\/21. Sort r, x, -0.1 in increasing order.\nAnswer: -0.1, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11621 + 2*z + 11621. Let j(t) = -2*t + 0 + 6 - 6. Calculate j(c(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*v**4 + 235*v**3 + 263*v**2 - 1278*v - 504 = 0. What is v?\nAnswer: -28, -3, -3\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -63. Let q be 5*(m\/(-10) - -4). Let o(p) = -p**2 - 3*p + 1. Calculate o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/4*8\/(-14). Let q(u) = -2*u**3 + 5*u + 3. Let c(k) = 2*k**3 - 4*k - 2. Let i(x) = l*q(x) + 3*c(x). Factor i(w).\nAnswer: 2*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938 and 2149427.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22329.5 rounded to the nearest one hundred?\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -0.24 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/80*(1 - 1). Solve i = 2*k - 4*r + 6, -4 = -29*k + 32*k - r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 - 6*v**3 + 3*v**3)*(-v**2 + 2*v + 2 - 2).\nAnswer: 6*v**5 - 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 128*k - 1409. What is y(13)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 129, 179, 249?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1449 = 58449865*q - 58449934*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 5, -2, 3 in ascending order.\nAnswer: -5, -2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7212)\/(-22) - (-24)\/132?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14812801 = 456*p - 43098025. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gegggvegvsjvsgvgjvje. Give prob of picking 2 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6*260\/(-1895). Let r = -9679001032841\/7580 - -1276913067. Let d = r - f. Calculate the common denominator of -117\/20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**4\/24 + 7*j**3\/6 - 2*j**2. Let g be s(-3). Suppose 2*r - 2*p + 6*p - 14 = 0, p = -g*r + 14. Solve -2*k = -1 + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 21186 = 2628. Solve d*w - 1324*w = 6 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 0*i**2 - 11 + 3*i + 5*i**2 - 4*i**2 + 1. Let l be y(5). Is 3557\/((-6)\/l*-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 5727 = -8892. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8525\/22 + 2 + 7\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 7*y**2 + y + 7. Let v be g(5). Suppose 4*l + 144 - 16 = 0. Let u = v + l. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 + 607 = 14*c for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1218*j**2 - 1211*j**2 - 1222*j**2 + 3648*j**2 + 20*j.\nAnswer: -3*j**2 + 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3480 and 81990?\nAnswer: 9510840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 + -3.11992?\nAnswer: -1.31992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 2. Let i(r) = -13*r - 1. Let s(h) = i(h) + 4*u(h). Let m(v) = 2*v - 5. What is 5*m(b) - 3*s(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let g = -83 - -93. Let b(u) = -9*u**2 - g*u**2 + 8*u**2. Calculate l(b(t)).\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/481323 and 85\/54?\nAnswer: 8663814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52708?\nAnswer: 2, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/20 + n**4\/4 + n**3\/6 + n**2\/2 + n. Let p = -11 + 7. Let m be (6\/p)\/((-6)\/(-8)). Determine l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g\/(((g\/g**3)\/g)\/g)*g)))*(g\/(g*g**(-7\/4)))\/g)\/(g**11)**(-1\/3) assuming g is positive.\nAnswer: g**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -17. Let x be -3 + 7 + 2\/(-1). Suppose x*g + 49 = 129. Calculate the highest common factor of i and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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 nth term of -3504, -3500, -3496, -3492, -3488?\n\"Answer: 4*n - 3508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - (7 + 0 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, y: 11, m: 1}. Give prob of sequence mww.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 = 23. Let c be 28\/b + (-18)\/30. Solve 15 = 3*d + c*k - 22, -2*d - k + 13 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3 - 1 + 0. Let l(q) be the first derivative of q**2\/2 + 4*q + 15. Determine 2*l(c) - 5*x(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**4\/24 - j**3\/2 + 2*j**2. Let f be l(-6). Suppose -f*c - 5*y + 0*y = -50, 5*c - 3*y = 38. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1, 5, -3 in increasing order.\nAnswer: -3, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -505?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-194)\/1)\/(-1 + 2). Let l = -126 - r. What are the prime factors of l\/6 - 2\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 17*a + 252 = 0. Let x be ((-96)\/a)\/(4\/(-6)). Which is greater: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 4. Let z be q(-12). Suppose -z*o = -7*o - 3. Let a be (-2 + 3)\/(o\/(11 + -5)). Solve -4*c = 18 - a, -4*b + 5*c + 8 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - r + 366000000. Suppose -8*b + r = -5*b. What is b rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157537 is divided by 388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 6 - -14*((-3)\/2 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*h + 116 - 666 = 13*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 43743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -31. Suppose 3*y - 4*i - 42 = x, -14*i = y - 10*i + 2. Calculate the lowest common multiple of 25 and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208613230 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 174598\nAnswer: -87299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + v + 17 = 4*v, 2*b = 2*v - 2. Let n be 2*((-20)\/(-1))\/b. Suppose 3*y - n = 64. What is the lowest common multiple of 2 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpew when four letters picked without replacement from eewrprreprpweyrrwwr.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**3 - 2*t**2 + 5*t - 5. Let l be 28*28\/490 + 2\/5. What is g(l)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 225 = -234. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 261, 269, 279, 291?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13568592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 253 = 8*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 600 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47400214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/4*10\/25)\/(570\/3515).\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*1\/(4\/30)*((-44820)\/(-225))\/83?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5461385 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2561274.\nAnswer: 2, 3, 47431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*1 + 3 - sqrt(68))*-5 - (3 + 5 + (-2*sqrt(612))**2).\nAnswer: -2471 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 5:22 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/14))\/d)\/(d\/(d**(-10\/7)\/d*d)) assuming d is positive.\nAnswer: d**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-5) + (-488)\/(-20) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23794.4 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -79, -285, -627, -1105?\n\"Answer: -68*n**2 - 2*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 + 13*n**4\/12 - 8*n**3\/3 + 7*n**2 - 10*n. What are the prime factors of w(-14)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(121) - sqrt(121)*-1 - sqrt(121))*4)\/(sqrt(396)*1) + (sqrt(132)*-1)\/sqrt(3)*-6)*-5*-5)**2.\nAnswer: 9927500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 2*d + 10*k, 6 = -4*d - 2*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3\/10 (b) 23 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1976*z - 1975*z. What is the nearest to z in -117\/5, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/20 and (-5 + (-5032)\/(-1068))*3\/(-2)?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/4 + 15*r**3\/2 + 147*r**2\/4 - 95*r + 51.\nAnswer: -(r - 34)*(r - 1)**2*(r + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 16) to base 14\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 19 + 19)*(-w + w + w)*(64 + 186 + 557)*(w**2 + w + 1 - w).\nAnswer: -4842*w**4 - 4842*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from gupmggx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/3 + 9638*s\/3 + 508599 = 0?\nAnswer: -9477, -161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82432693547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.642 - 1.695. Let l = -0.253 - b. Let r = l - 4.9. What is r rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c - 17 = 5*a, 3*c - 4*a = 7. What are the prime factors of c*1 + (25 - -1 - 5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 764 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 13*h**2 - 29*h + 770. Determine r(14).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/639 and -35\/284.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6, -2*d + 40 = -4*i + 2*d. Let o = -1.807 + -0.153. Let u = -1.76 - o. What is the closest to 1 in -4, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 366904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1534, -3017, -4536, -6091, -7682, -9309?\nAnswer: -10972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 5*q - 4. Let f be g(5). Suppose -2*d + 1149 = 5*h - 0*d, -3*d = -2*h + 471. Calculate the greatest common divisor of f and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.392 + -4.4. Let i = s + 0.011. Let p = i - 2.003. Which is the second smallest value? (a) -0.2 (b) 0.2 (c) p (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + 1515243022?\nAnswer: 1515243051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20304071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/7? (a) 18 (b) 4.4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:57 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2412 (base 6) in base 4?\nAnswer: -21020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*y**4 - 80504*y**3 - 94075915*y wrt y.\nAnswer: 360*y**2 - 483024*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1dc (base 15) to base 5\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2450*c**4\/3 - 3980410*c**3\/3 + 9337228*c**2\/3 - 950120*c + 78096 = 0.\nAnswer: -1627, 6\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60, -0.2, 0, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 1. Let b(w) = 3*w - 1. Let s(y) = b(y) + 2*z(y). Let n be s(-1). Suppose -u = -2*g - 10, -3*g + n - 6 = 3*u. Put -3, g, -1 in decreasing order.\nAnswer: -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -1\/4*s**2 + 7\/24*s**3 - 1\/16*s**4 + 13 - 1\/2*s. Solve b(h) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, 70\/9, -3.4616?\nAnswer: -3.4616","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1361*k - 1141*k - 3300 = 0 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2)*(u**2 + 3*u**2 - 8*u**2 + (-2*u + 0*u + u)*(-4 + 4 - 9*u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 61*b**2 - b - 1. Let p be x(-1). Suppose j - 20 = 2*q, 2*j = -4*q + q + p. Calculate the remainder when 49 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**3 - 5*m**2 - m - 1. Let r(o) = 12*o**3 - 8*o**2 - 2*o - 2. Suppose 6*j + 168 = 27*j. Calculate j*k(i) - 5*r(i).\nAnswer: 4*i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493310447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/12)\/((-46)\/33*-1) and -41\/18?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -133?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (14 - (-26 + 115 - 23))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8958 - 17923 + 8962 - 861*l**4 + 334*l wrt l.\nAnswer: -10332*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.690344 to three dps.\nAnswer: 4.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/(i\/(i*(i\/i**6)\/i)))**(-6\/7) assuming i is positive.\nAnswer: i**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 8*k. Let w(l) = l**2. What is g(w(v))?\nAnswer: 3*v**4 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/24 + 47*k**5\/60 + 47*k**2. Find the third derivative of s(f) wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 343343?\nAnswer: 343345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 3*p + 7*p + 4, 3*u - 8*p = -17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - (sqrt(136) + 1*sqrt(136)))*4)\/sqrt(8).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.81575 and 4.\nAnswer: 7.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -37.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*q - 26. Let o(d) = -d + 5. Let i be o(q). Let f = 539\/915 + 2\/183. Which is the closest to i? (a) -0.1 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and -13?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1675*t**2*w**2 + t*w - 21*t - 3*w**2 + 88058 wrt t?\nAnswer: 3350*t*w**2 + w - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35846, -71645, -107444, -143243, -179042?\n\"Answer: -35799*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 527.241 and 0.1032066746?\nAnswer: 527.1377933254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + 35*p**2 + 6*p - 11*p to q*p + n + a*p**2 and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 1:55 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:37 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001480354 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 6314282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111333 times 191?\nAnswer: 21264603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*g**3 + 107 + 4*g - 108 + 17*g**3 + 3*g**2 + 4*g + 7*g**3 in the form s*g**2 + z*g + o*g**3 + c and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + (-1 + -2 - ((13 - 3) + -11))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12\/(o*o\/((o*o**(1\/10)*o*o)\/o*o)))\/(o*o**(-1\/10)\/o*o**(-4\/9)) assuming o is positive.\nAnswer: o**(614\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -30*j**2 + 1. Let b(o) be the third derivative of o**7\/2520 - o**5\/20 + 10*o**2. Let i(d) be the third derivative of b(d). Calculate v(i(n)).\nAnswer: -120*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11408 is divided by 11403.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 336?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyey. Give prob of picking 1 e and 1 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30390520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2320452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-24)*(3 - 0). Suppose 0 = -2*i + 6, 0*x + 2*x + 2*i = n. Let h(o) = -2*o**3 - 3*o**2 - o + 2. What are the prime factors of h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 157 = -2*x, 0 = 32*x - 31*x - 4*d - 81. What is the least common multiple of 11 and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 - 4\/(-3 + 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -3*m**2 - 3*m + 1. Let h be p(-2). Let y = 30 - -51. What is the highest common factor of y and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 108. Calculate the smallest common multiple of s - (-2 + -194 - (-21 + 18)) and 6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -114 + 106 - -119.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 93625.2mm?\nAnswer: 0.0936252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/16 and -31\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101 or 56427\/559?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3505, 14050, 31639, 56284, 87997, 126790, 172675, 225664?\nAnswer: 285769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:29 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-1) - 20*(-8)\/(-16). Let q(v) = v**3 + v**2 - 35*v + 26. Calculate q(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42808234 by 738073.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67983 and 1290.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1341 and 150639.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474028.\nAnswer: 2, 17, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*i, 357 - 338 = 4*a + 23*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 7*d**2 + 5*d + 8. Is y(6) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -248 + 117. Let t(z) = -z**2 + z + 200. Let n be t(0). Let o = c + n. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -321, -320, -319?\n\"Answer: o - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 17, -3, 18 in descending order.\nAnswer: 18, 17, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 138\/42 - 3 - 183\/(-21)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944907.1 tonnes to nanograms.\nAnswer: 944907100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227983771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11064*s - 5*m = -11056*s - 327, -279 = 4*s - 5*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -21. Let d be (l\/3)\/(-4)*1. Sort 2, 4, d.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26734734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 2*a**2 - a. Let p be b(-2). Let d = -5 + 5. Let x = p - d. Solve -x*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1 + 4 - -1*(-1 + sqrt(153)) - (3 + 3 + 4 + 1 + sqrt(17)).\nAnswer: -8 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 647, 2398, 5313, 9398, 14659, 21102, 28733, 37558?\n\"Answer: h**3 + 576*h**2 + 16*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -0*x - 20*x + 666 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189 + 189.2. Let s = 9 + 11. Suppose -2*d + 7*d - s = -5*z, -d - 5*z + 20 = 0. What is the nearest to k in d, 4, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) -0.1 (c) -0.12 (d) -3 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 5*o**2 - 2*o**2)*(7 + 9 - 2).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11765, 23531, 35307, 47099, 58913, 70755, 82631?\n\"Answer: b**3 - b**2 + 11762*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let c(i) = 110*i. Let k(f) = 22*f. Let q(h) = 2*c(h) - 11*k(h). Calculate q(j(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**5\/600 - 7*y**4\/240 + y**3\/10 + 3*y**2 - 12. Let a(o) be the second derivative of r(o). Determine h so that a(h) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Let a = 4 + -6. Let n = a + -2. What is the closest to 0.1 in k, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 55 = -6*h + h, 2*k - 2 = h. Let u = 457263\/4 + -114315. What is the closest to h in 0.2, 0.4, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -32*l**5\/5 - 73*l - 39. Find the first derivative of v(n) wrt n.\nAnswer: -128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 7*r + 8. Let d be 8\/2 + 0\/(-9). Suppose 3*y - 2*j - 9 - 1 = 0, -y = d*j + 6. What is the remainder when y is divided by b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5377422 to the power of 1\/2, to the nearest integer?\nAnswer: 2319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwww when four letters picked without replacement from {w: 8, v: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -1313?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-1576 - -1540) + 1 + -3.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 + 4*r**3\/3 - 3*r**2\/2 + 2*r + 3. Let v be g(3). Find the second derivative of v*f + 0*f + f**2 - 4*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*o - 12, -3*s - 4 = -4*o - 22. Let m be -10 + s + -1 + 1. What is the units digit of 12\/(2 - (-10)\/m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781444?\nAnswer: 2, 3, 31, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/99*3\/2*-21*-2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 7139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 5:14 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 11:46 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 1761850777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(-1)*(154 + -158). Suppose m - 342 = -0*m + 4*s, m + p*s - 342 = 0. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 34736 = -m, -2*p + p + 8695 = -3*m. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81135, -162269, -243403?\nAnswer: -324537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -13*m**6\/20 + m**4\/24 + 59*m**3\/3 - m**2 + 69*m. What is the derivative of p(y) wrt y?\nAnswer: -234*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:42 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001715395136 rounded to six decimal places?\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7230 - 7082. Let u = -515321\/36 - h. Find the common denominator of u and 49\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 8*o + 40. Suppose 2*m - o = -2*m. Let -16\/7*l**4 - 76\/7*l**2 + 2\/7*l**m - 16\/7 + 8*l + 50\/7*l**3 = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047337123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 + -1)*-12*17\/6732.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-343)\/2)\/(4*(-5)\/560) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153.3 - 159.172. Let i = v - 0.208. Let b = 0.28 + i. Round b to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*v**2 + v - 39 + 17*v - 16*v wrt v.\nAnswer: 12*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34, 109, 222, 373, 562, 789?\n\"Answer: 19*j**2 + 18*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22315 (b) -1\/3 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.96 - -2.04. Sort s, -4, 2\/7 in ascending order.\nAnswer: -4, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 - -151. Let x be ((-3)\/(-2))\/(3\/(-12)). Let b = x + 3. Sort u, 3, b in descending order.\nAnswer: 3, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363368 and 5088?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25145673701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/36 and 71\/184.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7577*l - 7577*l + 61*l**2 to the form n*l + d*l**2 + a and give d.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002779532895 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + (71 + 35 - 38)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(3*(sqrt(208) - (-1*sqrt(208) + -1) - (sqrt(208) + 1*(sqrt(208) + -3))) + 4)**2.\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (1 + (0 - -7) - 1) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16790151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 5*h + 3*h + (-4 + 4 + 2)*(2*h - h + 2*h) + 3 - 2*h - 3 + (-2 + 2 + 2*h)*(-1 - 5 + 2).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 3*s + s + (s - 4*s + s)*(-2 + 2 + 2) + 3*s - s + 0*s - 3*s + 0*s + 2*s - 216 - 63 + 9*s - 162 + 28.\nAnswer: 5*s - 413","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-38) + 22563\/2071?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(0 + 2 - 4) + 7 - 2 + 0)*(-z**4 + 3*z + 3*z - 5*z).\nAnswer: -z**4 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (510\/(-21))\/((-7)\/49). Suppose -g = y - 551. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, v: 1, m: 3, f: 2, q: 2}. Give prob of sequence qff.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290496)\/(-51264)*(3\/2)\/(1\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 208386551427?\nAnswer: -208386551426.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -13. Let u = 0.3 - 2.3. Which is the closest to 0? (a) u (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2.8. What is the third biggest value in b, -4\/3, 0.5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-104) + 11\/(143\/(-128)) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u\/((u*u**(-2\/9))\/u))\/u))\/(u\/u**(-1\/29)) assuming u is positive.\nAnswer: u**(-328\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*o - 21, 202*l + 17 = -4*o + 203*l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 1. Let k(p) = p**2 + 12*p + 19. Let o(g) = -k(g) - 3*y(g). Let d be o(-13). Solve d = -0*u + 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -243*q**5 + 36801*q**4 + 250980*q**3 + 113376*q**2 - 89184*q + 11376 = 0.\nAnswer: -6, -1, 2\/9, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4*x + 12 = 0. Let h(z) = z + 4. Let t be h(x). Suppose 0 = 3*f - t + 1. Calculate the smallest common multiple of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-180)\/(-16) + 2\/(-8). Let c(t) = -3*t**2 + 11*t. Let q(u) = u**2 - 4*u. Let n(f) = w*q(f) + 4*c(f). Let x(y) = 17*y**2. Give x(n(k)).\nAnswer: 17*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 843*v - 5852. Let n be j(7). Solve -n + 7 = 21*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11095, 11092, 11087, 11080, 11071, 11060?\n\"Answer: -j**2 + 11096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (4 + 2)) + 0 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184672 is divided by 61407.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 5, 802449, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510.6558 meters to kilometers.\nAnswer: 0.5106558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 140194062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 311*a + 143*a + 47*a - 6*a - 77*a as w + n*a and give n.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2499601 is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -88. Let a(o) = -35*o**3 - 5*o**2 + 25*o - 15. Let u(v) = -v**3. Let t(j) = q*a(j) + 30*u(j). Find z such that t(z) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 4*r + 11, 7*d + 5*r + 13 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1442461*q*t**3 + 2*q*t**2 - 4*q*t + 14*t**3 - 780524 with respect to q.\nAnswer: -1442461*t**3 + 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 1\/24*o**4 + 0 - 1\/120*o**6 - 4\/3*o**3 - 1\/20*o**5 + 0*o - 16*o**2. Let s be r(-4). Solve -2*y + 10 = -s*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.78 - 2.48. Let t = -1.4 - 0.5. Let q = t - -2. Which is the second biggest value? (a) i (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/7 + 13107\/119 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3207 and -63.\nAnswer: -20.2041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w + 8 = 0. Let m be (-3)\/w*4\/(-6). Let c = 0 - m. Round c to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 1410*p + 2800.\nAnswer: 5*(p - 280)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 89*f**3 - 6*f**2 - 2*f + 4. What is the tens digit of m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5239, 19603, 43069, 75637, 117307, 168079?\n\"Answer: 4551*s**2 + 711*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63225*r + 31628*r + 31595*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 183. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, y: 4}. Give prob of sequence fyf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2*3 + 2)\/(100\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.6084l to millilitres.\nAnswer: 139608.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -516. Let u = -309 + 40. Let p = u + d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 48, 112, 204, 324?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69410 is divided by 2385?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1619162 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-16) + 15\/(-20). Let o(a) be the third derivative of 4\/39*a**4 + 0*a + 4\/39*a**3 + a**2 + u + 1\/30*a**5 + 1\/260*a**6. Factor o(r).\nAnswer: 2*(r + 2)**2*(3*r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*b - 17, 5*b - 2*a + 4 = 34 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**2 - 6*m**3 - 31*m**2 - 15*m**2 - 31*m**2 + 83*m**2.\nAnswer: -6*m**3 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*k + 79*k - 1097*k + 0 - 2*k + 0 + k - 2*k + 0*k + (-1 + 4 - 1)*(-3*k + 2*k + 3*k) + 2 - k - 2 + (1 - 5 + 3)*(0*k + 0*k + k).\nAnswer: -1040*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/7, 16, 4, 2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/24*3 + 170\/20. Solve -3*d = -n*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48781.66 litres in millilitres?\nAnswer: 48781660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 2. Suppose 6*q - 2*q - 12 = 0. Let w be g(q). Suppose -c + w*c = 28. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4477 + -13069\/3. Let t = 119 - y. Which is the nearest to -0.1? (a) 3 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + 0 + 25*(-7)\/140 and 31\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-120)\/(-16)))\/(20\/70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 3*q**2 - 2*q + 6. Let m be (-1)\/(-9) - 140\/(-36). Calculate c(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8869.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Simplify (n\/(n*n**33)*n*(n*n\/(n*n\/n**(16\/9)))\/n)\/(n\/n**(-3\/2))**(-40) assuming n is positive.\nAnswer: n**(619\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjtn when four letters picked without replacement from {j: 2, t: 1, g: 2, n: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 3:00 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 1. Let o(c) = c + 8. Let p(g) = -o(g) + 3*y(g). Let u be p(-2). Is 2400\/35 + u\/7 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/4*(-714)\/(-918)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78657 + 33?\nAnswer: 7868a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x**2 - 1. Let j be u(1). Let z(n) = -14*n - 175. Let h be z(-18). Suppose h*p - 88*p = 0. Solve -3*m - m + j = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = h - 8 + 12, 3*k + 75 = 6*h. Calculate the remainder when 491 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -1\/20*k**6 + 0 + 3\/40*k**5 - 7*k - 1\/24*k**4 + 0*k**2 + 0*k**3 + 1\/84*k**7. Factor g(b).\nAnswer: b**2*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, -62, 0.3, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 8. Suppose -213 + 75 = -3*k. Calculate the remainder when k is divided by c\/6*9\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23940*g - 23920*g + 47953*g.\nAnswer: 93*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.1 - 7. Which is the closest to -4? (a) -0.5 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-544)\/(-144) + (-2)\/(-9). Suppose -11*l = -t*l - 70. Solve -3*r + 2*q + 6 = 0, -l = 5*q + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 9*h - 3*h + (0 + 1 - 8)*(13*h - 3*h - 8*h) to v + s*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 115*a - 55*a + 9 - 58*a - 4. Let r(h) = 2 - 5*h - 11 + 2*h. Let t = -2 - -5. Determine t*r(p) + 5*y(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {u: 1, g: 2, r: 1, p: 1, v: 2, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 82 = -5*i. Let g be -1*36\/i*-7. Suppose g = -q + 4*q. Are q and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w. Let t be a(-1). Suppose t + 4 = z. Let s = -268 + 308. Calculate the greatest common factor of z and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1220212211 (base 3) to base 9\nAnswer: -56784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -237, 21 in ascending order.\nAnswer: -237, -43, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 67*y**2 - 124*y - 398. What is r(65)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18631\/6960 + 9\/290. Find the common denominator of d and -133\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1170*u. Let c(d) = 3*d + 6. What is x(c(a))?\nAnswer: -3510*a - 7020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 268700 >= 268699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4200, -8290, -12294, -16236, -20140, -24030, -27930, -31864?\n\"Answer: -4*i**3 + 67*i**2 - 4263*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -97. Let v(p) = 10*p**3 + 3*p**2 + 3*p + 3. Let z(x) = -x. Let i(u) = -v(u) - z(u). What is the tens digit of i(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110100010 - -111111?\nAnswer: -1000101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -10. Let c = 9 - t. What is the smallest value in -5, 3, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1bc5 - 3?\nAnswer: -1bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 32. Suppose 6*y + d = 19. Suppose y*k - 2*t + 692 = 0, -t = 4*k + 203 + 738. Round k to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 1 + 6 + -21 + 27 + -6\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1928*z + 482. What are the prime factors of v(-4)?\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118109700 to the nearest 1000000.\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*r**2 - 3 + 349*r**2 + 2 in the form c + q*r + t*r**2 and give t.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/(-92)*-23*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-55)\/2)\/5)\/(4\/56*-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-221)\/52 + (-3)\/4. Let p(r) = r**2 + 6*r + 8. Let y be p(m). Suppose y*h - 11*h = -72800. Round h to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 6*b + 6. Suppose -41419 = 47*t - 44192. What is the smallest common multiple of t and u(6)?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1045109*j + 4180436. What is q(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*j + 517 - 517)*(1 + 1 - 1 + (-1 + 2 + 0)*(-1 + 2 + 0)).\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Suppose -f = 2*o - 34, 27 = p*o + f - 45. Calculate the remainder when 53 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259300902 to the nearest integer?\nAnswer: 16103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449079773.\nAnswer: 3, 483026591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-10))\/((-2*1)\/(1930\/(-193)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r**0)\/(r**(-2\/13)\/(r*r**(-1\/3))) assuming r is positive.\nAnswer: r**(-46\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 336*u**2 - 247 with respect to u.\nAnswer: 672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3, 1334, 5 in decreasing order.\nAnswer: 1334, 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18053, 49584, 102129, 175682, 270237?\n\"Answer: -h**3 + 10513*h**2 - h + 7542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-7\/8)\/h)\/h**6 assuming h is positive.\nAnswer: h**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 45*d - 119. What is a(15)?\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439464 divided by 3.\nAnswer: 146488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70507\/10 - 7040. Calculate the common denominator of w and 69\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + 6. Suppose q = 16*i - 59. Suppose -21*u = -i*u - 840. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 7 + 20 + -1 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5661+547\nAnswer: -5114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 2\/13 (c) 274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8852 + 21649. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13703072 or -13703069?\nAnswer: -13703069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c\/(c*c\/(c\/c**3)*c*c*c)*c)\/c))*c**(-1\/3))**(-35) assuming c is positive.\nAnswer: c**(665\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 282 = f. Suppose -10*g + 3 + f = 0. What is the tens digit of ((-62)\/6)\/(g\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758, 3076, 6948, 12380, 19378, 27948, 38096?\nAnswer: 49828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4 - 7)*((2 - 2 + 2)*(-1 + 2 + 1) - 4 + 6 - 3 + 4 + 6 - 6)*(4 - q - 4).\nAnswer: 98*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose -o + 12 = 3*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -16 + (-2 - -8) - (4 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z + 475 + 597 = -400 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 - 21 + 4*z - 10*z + 4*z in the form m*z + o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/987 and 74\/5499?\nAnswer: 38493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 41, 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11*(-5 - (-354)\/66). Is ((-205)\/t)\/((-75)\/600) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (7 + 150\/(-12) + 3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 140*x**2 - 280*x - 14. What is l(-72)?\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.71 to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1405 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6) + (6 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxxdxdxxd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 860 - 847. What is the remainder when 141 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4240145 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 84. Suppose -2*u + 4*n = -s, -2*u = 4*n - 19 - 9. What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 3*i - 6*i**2 - 7*i. Let p(o) be the first derivative of -2*o**3\/3 - 2. Calculate x(p(q)).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-3)*(87840\/2100 - 42)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/16*-2)\/(2\/20). Suppose 0 = -4*v + d*u + 107, v - 5*u + 124 = 4*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - k**2 + 4 - k**2 + 2*k**2. Let z be t(0). Suppose -2*q + q + z = 0. Let h(n) = -n**2 + 5*n + 2. What is h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005937 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-570)\/4*(24 + -26). Let l = 547 - w. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, a: 1, l: 1, e: 1, i: 1}. What is prob of sequence jlei?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, 0.1, 1346 in ascending order.\nAnswer: -0.1, 0.1, 0.3, 1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 2*u - 1. Let f(i) = 6*i + 58. Let w be 7 + (-11 + -6 - 0). Let m be f(w). Let b(r) = -1 + 5*r + 1 + 7*r**2 + 2. What is m*b(p) - 5*s(p)?\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 302 or -513?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(612) + sqrt(1700)*-4 + ((sqrt(17) - sqrt(17)*-3)*-6 - (sqrt(425) + -3))**2.\nAnswer: -208*sqrt(17) + 14311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -11*q + 5*q. Let b = -17 + 30. What is the second derivative of 4*p**4 + b*p - q*p**4 + 7*p**4 + 3*p**4 wrt p?\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(-3) + 2\/3. Let j be ((-2)\/(-3))\/(2\/h). Suppose 4*q - g = 6, -7 = -2*q - 3*g + j. Let v(o) = -2*o**2 - 2*o + 3. Calculate v(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000144 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353043229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1819*z**2 + 62 - 904*z**2 - 914*z**2 - 5*z to the form p*z + i + r*z**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/14 - 2\/7. Let w(s) = s**3 - 21*s**2 - 20*s - 39. Let f(y) = -2*y**2 + 51*y + 48. Let v be f(26). Let m be w(v). Solve -j + m = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**2 + 23*n**2 - 74*n**2 - 1047*n**3 + 1905*n**3 + 24*n**2 + 1.\nAnswer: 858*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**4\/12 + 11*y**3 - 193. Find r, given that g(r) = 0.\nAnswer: 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 1 - 1)*(-2 + 13 - 9 - 18*t**2) as f*t**2 + z*t + v + s*t**3 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 + (-1 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + 111?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -13423 + 13347. Let z(d) be the third derivative of 0*d + 26*d**2 + 0 + 0*d**3 - 1\/60*d**5 + 0*d**c. Let g(o) = 4*o - 2. Determine g(z(u)).\nAnswer: -4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*j + 5*f, 2*f - 16 = -2*j + 6*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36 + 15\/4*j + 3\/8*j**2.\nAnswer: 3*(j - 6)*(j + 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -154. Let u = -1 - -1. Solve -3*i = 3*q - 0*i + y, u = -q - 5*i - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 - 3. Let z(t) = t**3 + t - 3*t**3 + 4 + 5*t**2 - t. Let v(b) = 4*n(b) + 3*z(b). What is the third derivative of v(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1683 - -7125. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3919 is divided by 100.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86580 = 34*d + 122*d. Solve -l + d = 557 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.821 - -0.179. Let t = -24 - -19. What is the closest to -2\/3 in t, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1478.\nAnswer: 7390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*h - 5, 3*n + 0*n = -h + 11. Let q(m) = -m**3 + 5*m**2 + 2*m - 7. Let b be q(n). Suppose b*d + 11 + 4 = 0. Let c(r) = r**2 + 3*r + 3. Give c(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3356288*65.\nAnswer: -21.815872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**4 - 3*x**2 + 3 - 5*x**3 + 5*x**3 + 0*x**3 + x**2 in the form i*x + d*x**4 + t + s*x**3 + k*x**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(280)*-4 + sqrt(280))*-3)\/sqrt(8))\/(-3*sqrt(2205)))**2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 2172735300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.9 - -19. Let y = -0.265 - 0.735. Which is the nearest to 8\/7? (a) y (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 2, 0, -765 in descending order.\nAnswer: 3, 2, 0, -1, -765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2042, 4079, 6116, 8159, 10214, 12287, 14384?\nAnswer: 16511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and 278255.\nAnswer: 12521475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w = -2160 + 9648. What is the highest common factor of 156 and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -6, -3, -5 in ascending order.\nAnswer: -6, -5, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 4. Let t be u(-6). Let k be (((-36)\/(-3))\/t)\/2. Suppose -k*d - 4 = -4*d. Solve 11 = -5*r - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10301 - -10304. Solve f*l - 7 = -z, -65 = 3*z + 2*l - 79 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91350 and 278922.\nAnswer: 20919150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/12 - 52*v**3\/3 - 47*v**2 - 2. Let r(x) = 2*x**2. Give r(g(c)).\nAnswer: 8*c**2 - 832*c + 21632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 2*f, -3*b - 4*f - 15 = -5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 15. Let y be t(3). Let n(c) = -2*c**2 - 50*c + 15. Is n(y) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -15. Let c = d - -8. Suppose -3*g + 2*r + 33 = 0, c*r - 4*r + 55 = 5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 959044, 959046, 959048, 959050?\n\"Answer: 2*y + 959042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*18*(-1)\/(-2). Let d = -4 + v. Solve -3*c + 3 = 3*r, -2*r + 25 = 3*r - d*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, a: 4, e: 2, p: 6, x: 3}. What is prob of sequence oe?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2923 + 2923 + 29*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 999 divide 351597221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2219667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 5 - 14 - (-23)\/7. Factor -b*i**2 - 6\/7*i - 4\/7.\nAnswer: -2*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (16 + -17 - (1 - -14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 11:40 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -69 + 2\/65*i**5 + 0*i + 0*i**2 - 1\/13*i**4 - 2\/13*i**3. Let r(j) = 0. What is j?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + y + 1)*(8*y**3 + 5*y**3 + 6*y**3) + (y**2 + 0*y + 0*y)*(-5 - 4*y**2 + 5) to the form d + f*y + g*y**4 + j*y**2 + w*y**3 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Find the second derivative of -18*n**4 + n + q*n + 19*n**4 wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 208*h**2 + 1602*h + 5324. What is s(-111)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3105 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*f**2*h**2 - 42299766*f**2 - 376*f*h**2 - h**2 wrt h.\nAnswer: -82*f**2*h - 752*f*h - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-3) - (-278 - -286). Let y(g) be the third derivative of 0 + g**3 + 0*g + 7*g**2 + q*g**4. Differentiate y(t) wrt t.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12806+44226\nAnswer: 57032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9280585157\/170759070 + -6\/41108665. Let x = c + 688\/13. Find the common denominator of -85\/8 and x.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -480*m**2 + 2 + 0 + 474*m**2 - 2. Let c(f) = -17*f**2 + 2*f. Determine c(a(j)).\nAnswer: -612*j**4 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.74 + -0.94. Let y = 2 - 4. Which is the closest to v? (a) y (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - (-13 + -24 + 65)) + 87.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.3 (c) 11 (d) -52\/321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21047189549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2*n + 1)*(2 - 1 + 0) - 85*n + 214 - 214)*(-2 - 4 + 3) to the form y + t*n and give t.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010110112210 (base 3) to base 15.\nAnswer: bca0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72249 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10517 - 10514. Which is the closest to 0? (a) -2213 (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**7\/420 - k**6\/90 - 5*k**3\/3 + 3. Let g(l) be the third derivative of q(l). What is the third derivative of g(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 23. Suppose 5*x - 3*f = f + 2, 4*x + f = c. Solve w + w + x = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 19 = -6*b + 7*b, z - 3 = -2*b. Put -2, z, 8 in decreasing order.\nAnswer: 8, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k + 6*k + 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-560))\/(27\/(-2016))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1979, 4134, 6289, 8444, 10599?\nAnswer: 12754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14012 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155179763?\nAnswer: 137, 887, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 1 t when three letters picked without replacement from bokbblkklobtok?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z + 16*z - 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-8 - 10)) + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + 10 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 570 = -t - 314, -5*t = -4*w + 703. Let v = 177 - w. Let n be (-10)\/12*(-8)\/480. Is n at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnkwwooookkwk. What is prob of picking 2 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1*3\/(-1))\/(123\/41)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**3 - f**2 + 23*f**3 + f**2.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kceeakakeekkc. What is prob of sequence eeaa?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -69. Suppose -3*n - f + 3 + z = 0, 5*f = 20. Suppose 4*h = -3*x + 14, n = -2*x - 4*h - 0*h + 12. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/9090 and -11\/69690.\nAnswer: 209070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1) + -1 + 2. Let y = -595 - -890. Suppose y = p*w + w. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055470295 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 135\/20 - 1\/(-4). Suppose -v*n + 41 = -2*n + 4*x, 2*x - 18 = -2*n. Is 6 a factor of n - -2 - (-3)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(847) + (sqrt(847) + 1 + sqrt(847))**2.\nAnswer: 55*sqrt(7) + 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 5*s**8\/336 + 52*s**7\/21 + 433*s**6\/4 - 1378*s**5\/3 + 14045*s**4\/24 + 2487*s**2 + s - 1. Factor k(l).\nAnswer: 5*l*(l - 1)**2*(l + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 223, 144, 47, -74?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -18*u**4\/5 - 127572*u**3\/5 - 225866162*u**2\/5 + 120598064*u - 80428960 = 0.\nAnswer: -3545, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u - 1668 = -145*u + 532 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/7 - 757873*d\/7 - 25008720\/7 = 0?\nAnswer: -757840, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 + -230. Which is the third biggest value? (a) -0.2 (b) -52\/5 (c) 2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/126*-7*23\/(-2116)*24?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 205514.3349 rounded to the nearest 10?\nAnswer: 205510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 + -109. Suppose 16 = d - u*m - 144, -758 = -5*d + 4*m. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66 + 26 - 5) + 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - (sqrt(510)\/(sqrt(10)*-1) + sqrt(51)))\/sqrt(3)*-6)**2 + -2.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/2, -45628213, 4 in increasing order.\nAnswer: -45628213, -0.1, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3230 divided by 10\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-164)\/(-738) - (-1)\/2*(-142764)\/(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -f + 2, 0 = 4*f + 5*m - 6 - 2. Let a be (12\/32)\/(3\/f). Sort a, 2\/15, 2\/21 in ascending order.\nAnswer: 2\/21, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 6*x**2 - 1\/105*x**7 + 0 + 0*x**3 + 0*x - 13\/30*x**5 + 0*x**4 + 0*x**6. Find the third derivative of f(t) wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.2 (c) 1.5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1945.2654 * -4.\nAnswer: 7781.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 4*o - o + (0*o + 6*o - 4*o - 11 + (-2*o - 3 + 3)*(0 + 4 - 2))*(2 + 1 - 1) to p*o + u and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) -2\/57 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 3*o - 22, 9*u + 2*o = 10*u + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*q + 3445761, -11*q + 8*q - 5742871 = -5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -2128 - 1512. Suppose -m*h = -176*h - 1560. What is the remainder when h is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5 - 226*x**4 + 18744*x**3 - 342496*x**2 + 1085056*x = 0?\nAnswer: -173, 0, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*z = -474 - 128 - 64 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*o = -6, 6 = 3*t - 685*o + 690*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13345 - -3a5?\nAnswer: -12fa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 19*p**2 - 18*p**2 + 38*p**2 + 10. List the prime factors of s(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1589*d + 5*s = -1591*d - 1, -2*d + 6*s + 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(171) + sqrt(171)*-2) - sqrt(171))\/(sqrt(9) - sqrt(18)\/sqrt(2)*-6) - (0 + sqrt(76) + -1*sqrt(76) + 5)) + 3.\nAnswer: -2 + sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8254164 divided by -687847\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10735 is divided by 10722?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1836192 = -0.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 - 19*z**3 + 24*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1530 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 32*w**3 + w - 1. Let z be o(1). Let m be (0\/2 - 2) + z\/2. Solve 5*l = v + 18, -m = -5*l - 0*v + 3*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(3) + sqrt(34))\/sqrt(2))**2 - (sqrt(17) + (sqrt(17) - 2*sqrt(68)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*i**2 - 20*i**2 + 19*i**2 + 23 + 2 with respect to i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 + 55. What is the greatest common factor of k and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.482678mm in nanometers?\nAnswer: 9482678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*k - 3*h + 4*h, -2*h - 8 = -2*k. Suppose k = -5*u - 0*u + 40. Let m(w) = -4 - u*w + 6*w - 3*w + 3*w. What is m(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 46929.43 years?\nAnswer: 46.92943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence seo when three letters picked without replacement from ooeos.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 277*l**2 + 165*l - 165*l + 0*l - 2*l**2 + 0*l + (2*l - l + 0*l)*(-2*l - 2*l + 2*l) - 2*l**2 - 1 + 1 + 3*l**2 + 3*l**2 + l**2.\nAnswer: 278*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2. Let v = 19 - 12. Let m(t) be the first derivative of -14 + 0 + v - t - 22. What is -f(z) - 2*m(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 16. Let d be (-33)\/(-4) + (-1)\/n. Let o(q) = -q**3 + 9*q**2 - 3*q - 6. Is 17 a factor of o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8886952 to two dps.\nAnswer: 4.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 6, -4, -1143 in decreasing order.\nAnswer: 6, 3, 1, -4, -1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 4*z**3 - 15*z**3 - 21*z**3 + 3 + 9*z**3 to g + j*z + i*z**3 + p*z**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:52 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 9.4. Let b = k - 5. Let u be (6\/26)\/(7\/((-14)\/3)). What is the third smallest value in -3\/2, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -26\/145?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 698, 1393, 2128, 2909, 3742, 4633?\n\"Answer: f**3 + 14*f**2 + 646*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 15*z**3 + z**2 - 3*z + 2. Let m be d(2). Calculate the highest common factor of 80 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + -0.36. Let m = 0 - -3. What is the second smallest value in m, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/13 (b) 4 (c) 2 (d) -3 (e) 1 (f) 0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24980 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 16*q - 4*q - 5*q - 6*q. Let h(n) = 2*n**2 - 45*n. What is h(c(m))?\nAnswer: 2*m**2 - 45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00091489 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/48*344\/(-56) and (82*3\/(-4))\/(-45).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08415551*-0.14.\nAnswer: -0.0117817714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 22754210 to the nearest one hundred thousand.\nAnswer: 22800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 2*(-2)\/(-4). Let b(c) = -f + 4*c - c**3 + 3 - 3*c**2 - 5 + 0*c**3. What are the prime factors of b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d685 (base 14) to base 16\nAnswer: -9065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -97029819, -194059638, -291089455, -388119270, -485149083?\n\"Answer: c**2 - 97029822*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in 4\/7, -0.5, 0, -2, 19, -2\/91?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.332 + -0.232. Which is smaller: o or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-4)\/(-10)*(9 - 27). Let u = 10 - r. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40285 rounded to three dps?\nAnswer: -0.403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1802346 by 26.\nAnswer: 69321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 336 - 414. Suppose 4*q - 3*q = 4. What is the remainder when (-2)\/8*(g - 14) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23502 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let f(w) = -4*w**2 + 31*w - 17. Let i be f(7). Let j be 322\/184 + 9\/i. Solve 4*u + 8 = j*t, -r*u = -4*t - t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -1)\/(3\/12). Suppose 15 = n - f. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/14)\/(49 + -48) + (-2 - 42)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/12)\/(4\/18). Suppose -2 = -2*q - 0, 95 = v - z*q. Suppose -3*r - 4*c - 97 = -6*r, 3*r = 5*c + v. Solve -3*l - 5*u + u = -r, -5*u = 2*l - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 55*o - 20 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + -0.5. Let t = -1.1 - 9.9. Let i = t - -11.5. What is the third smallest value in -2, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-14 - -9) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22c - -3?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -499, 2, -3 in descending order.\nAnswer: 2, -3, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*b - v, -40 = -4*b + 2*v - 7*v. Suppose -h + y - 3*y = -27, 3*y - 24 = -h. Let m = h + -29. Put 3, b, m in descending order.\nAnswer: b, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 117*k**2 + 4536*k = 0 for k.\nAnswer: -24, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.352 + -0.052. Let u = 1109.97 + -1110. What is the biggest value in u, o, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8129*t + 987690 = -17108*t for t.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380135095?\nAnswer: 5, 76027019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279796317?\nAnswer: 3, 93265439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2 and -67\/93946.\nAnswer: 93946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, q: 2, r: 4, c: 2}. Give prob of sequence dc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 1 + 6)*(p - 7*p + 2*p) as s*p + w and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10185\/4 - 2562. Let p = 67\/6 + -113\/12. What is the common denominator of m and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -620, -734, -844, -944, -1028?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 8872\nAnswer: -887.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((868\/140)\/(-31))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -6 in increasing order.\nAnswer: -6, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j\/(j\/(j\/j**(-2\/13))))\/j)*j)\/j**(-6))\/(j**(-1\/3))**(2\/35) assuming j is positive.\nAnswer: j**(9371\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -18 and 461047.205944.\nAnswer: 461029.205944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/30)\/(((k\/(k\/(k*(k\/(k\/(k*k*k\/(k\/k**(-28)))))\/k*k*k)*k)*k)\/k*k)\/k)*k\/(k\/(k**(1\/11)\/k))*k**(-19\/3) assuming k is positive.\nAnswer: k**(5849\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -729 (base 12) to base 7\nAnswer: -3015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 21. Let k(q) = 2*q - 7 - 3*q + 2*q. Let i be k(h). Sort 3\/2, 2\/7, i.\nAnswer: 2\/7, 3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295445475 and 3225?\nAnswer: 3225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, 1 o, and 1 l when four letters picked without replacement from {p: 2, z: 1, h: 1, l: 1, c: 1, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/13516, -3\/5, -40?\nAnswer: -3\/13516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 651 = 15*n. Which is bigger: 52 or n?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*g + 3*g - 17, -5*k = 5*g - 35. Solve k = -2*q - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*g**6 + 39*g**6 - 99*g**6 - 8 + 5 - 4 - 107*g**2 wrt g.\nAnswer: -28680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - 75. What is the second smallest value in 0.1, -0.2, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555 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: Convert 202130121 (base 4) to base 10.\nAnswer: 141081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 442 by 20455.\nAnswer: 442\/20455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -8150 + 2612. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, l: 2, f: 5, w: 1, s: 4, n: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1 + 4*u + 2 - 11. Does 13 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Let c be 2\/8 - 1\/k. Solve 0 = -4*a - c + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 38*o - 6 = 3*j, 0 = 5*j - 3*o. What is the remainder when 4 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9769413 and 27.\nAnswer: 87924717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1001 + 1?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {y: 1, d: 7, e: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 18*l**2 + 24*l.\nAnswer: 3*l*(l + 2)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/4)\/((-10)\/20). What is the units digit of (-24)\/y*60\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 144867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32477 divided by 5.\nAnswer: 32477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11101 (base 2) to base 13\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -423?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 329 = -0*w - 5*u, -2*u - 895 = -5*w. Calculate the remainder when w is divided by -2 - (0\/13 + -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v - 31 = -t, -4*v = 4*t - 44. Suppose 4*i = -u + 21, -5*u + i + 42 + 0 = 0. Calculate the remainder when t is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g - 38*g + 961 = 3106. Solve 9*h = g - 80 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h, -4*g + 2*h + 12 = -2*h. Solve g*t = -4*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -5 (c) -1 (d) 19 (e) 35\/2 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 809\/360 - 26\/65 and 79\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.771 + -52.428. Round t to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 33 - 7*t**3 - 23 + 40.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/10 - 4) + (3 - 4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -c - 8. Suppose 0*m = -m - c. Let o be (-18)\/m*50\/15. What is the greatest common factor of o and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 1.4. Round u to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 19) + 175 + (-273 - -181).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 7*k**2 + 4*k - 8. Let p be c(-6). Suppose 4*t + o - 20 = 17, p*t = -2*o + 42. Solve l + 12 = 4*q, 3*l + 7 = 5*q - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 1. Let m(f) = 2*f**2 - 8*f - 4*f**2 + a*f**2 + 7. Calculate m(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1196552, -2393099, -3589656, -4786229, -5982824, -7179447, -8376104?\nAnswer: -9572801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/39*-1)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 150333738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 35 = 35. Solve -5*r + 2*r - 12 = 4*w, 0 = -q*w + 2*r - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40251438 is divided by 1720.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.6, -3354.2, -0.55?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9*1 - (-2882)\/330 and 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48 - 48 - 2*n - 5*n**4 + (-n + 3*n + 0*n)*(-3*n + 3*n + 2*n**3).\nAnswer: -n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 6*c**2 + 97*c - 565. Let l be 1\/2 - (-263)\/2. Suppose -3*r = -r - l. What is the remainder when r is divided by z(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 77 - 100 = -2*f, -2*f - 4*u = -168. Let l = -39 + f. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806431?\nAnswer: 11, 97, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2187 + -2187.05. Let p be 0*(-1 + -1)\/2. Put 0.1, p, c in decreasing order.\nAnswer: 0.1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 10. Let j be y(6). Suppose o = a + a + 20, -j*a - 72 = -4*o. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z + 11. Suppose 6*t = 9*t + 15. Let p(y) = y**2 + 2*y + 6. Determine t*i(r) + p(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*j = -220*j - 53*j + 1965 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 66. Suppose -18*u = -14*u - x. Suppose u*z + 27 = 10*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a factor of 682587195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 429, 6.067, 1?\nAnswer: 6.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 0.09 (c) -5 (d) 10 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + a + 2*a)*(2 + 11*a + 0 - 4*a)*(1 + 0 + 0) to j + z*a**2 + i*a and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f. Let i(g) = g. Give -6*i(b) - m(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 33*m - 71*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/(-35))\/((9\/(-21))\/3). Suppose 10*g - t*g = 8. Suppose -392*l = -390*l + 2. Which is the closest to 0.1? (a) -4 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 15778*f - 22 = -2*l - 15782*f, 4*l + f = 51 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 - (9 - (12 + -1)) - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 3. Let o be b(-5). Let c(p) = 47*p - 15*p + 2 - 14*p - 15*p. Let u(s) = -s - 1. Let a be (-3)\/(-12) + 42\/(-8). What is a*u(h) + o*c(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/13 (b) -14 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, a: 5}. What is prob of picking 1 a and 1 v?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -505 and -7610.\nAnswer: 3843050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19775578 and 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 36. Determine a(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/6)\/h*h**(1\/3))\/(h**(-6)\/h*h*h**(-1\/8)\/h))\/((h**(2\/3))**(-20))**(2\/7) assuming h is positive.\nAnswer: h**(1753\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 10:15 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -23553, 7, 3 in increasing order.\nAnswer: -23553, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113389*z**2 - 350*z**3 - 113389*z**2 + 347*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.616495 rounded to three dps?\nAnswer: -18.616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 4. Let o be k(-6). Suppose -o*c - 2*c = -8. Suppose -3*f + c*f = 0. Solve -2*g + 2 + 2 = f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 957006, 957009, 957012, 957015, 957018?\n\"Answer: 3*b + 957003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = 6*d. Let y be (24 - 25) + d\/(2\/(-12)). Find the third derivative of -2*a**4 + 2*a**4 - 6*a**2 + a**2 - 11*a**y wrt a.\nAnswer: -660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:40 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 2, r: 2, y: 1, p: 1}. What is prob of picking 1 v and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*z**3 - 731*z**3 + 513*z**3 - 642*z**3.\nAnswer: -1258*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8464127774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 15. Let v = -4 + a. Suppose 0 = -2*y - 3*k + 159, -4*k + 161 = 2*y - v*k. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 79 = -3*n, 48 = 8*b - 5*b + 2*n. Calculate the lowest common multiple of b and 430.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 376, 751, 1124, 1495?\n\"Answer: -l**2 + 378*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.16 + -0.16. Let k = 3.0433 + -0.0433. What is the nearest to z in k, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -262 + 2884\/11. Let r be (-20)\/(-35) - 96\/(-28). Let h be r\/10 - 14\/(-140). Which is the third smallest value? (a) 7 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -25*g**2 + 160*g - 72. Determine s(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1449 and 4319.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 73*n**4 - 4 + 11 + 16*n - 7*n - n**3 - n**2 - 69*n**4 in the form r*n**3 + z + i*n**4 + b*n + h*n**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 343.6 * 1.3\nAnswer: 446.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18291*q - 164554. What is r(9)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 1124*c + 1123*c + 119 = 0, -10*c = g - 63 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*n - 2*n - 1005, 5*m - 2565 = 2*n. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*b**2*u**3 - 3*a*b**2 - 89*a*b*u - 3*b**2*u**2 - 63*b**2 - 21*b - u**3 with respect to a.\nAnswer: -3*b**2*u**3 - 3*b**2 - 89*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1101*i**2 + 1357*i - 5. Determine g(-2).\nAnswer: 1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 60*m + 15402 = -63*m, 5*m - 15434 = -3*h. Is 81 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2507286 to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 849 - 843. Solve -n = 6*x - 8*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3)*-4*(-5)\/60.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaqtvvabv. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -145308*s + 145462*s - 616 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g - 15. Let j be z(-4). Let v be (-1)\/((-6)\/58)*(-16 + j). Is (v\/2)\/(3\/(-258)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12923*u + 14653*u - 8894*u - 1027510 = 0 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:28 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 20*q**2 - 9*q - 2. Let k(i) = 10*i**2 - 5*i - 1. Determine 3*c(t) - 5*k(t).\nAnswer: 10*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d*q**3 + 173*d - 12*q**3 + 5 wrt q?\nAnswer: -15*d*q**2 - 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 528762, 1057519, 1586272, 2115021, 2643766, 3172507, 3701244?\n\"Answer: -2*x**2 + 528763*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 5. Suppose 0 = -4*p - 0*z - z - 13, 25 = -4*p + 3*z. Let x be o(p). Let s = x + 16. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 3*w. Let y be (-4)\/10 - 12\/20. Let l(o) = o**2 + 1. Let j(q) be the first derivative of q**4\/4 + 2*q**3 + 2*q - 9. Give w*l(r) + y*j(r).\nAnswer: -r**3 - 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564 times -5.2?\nAnswer: -13332.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1890)\/252*(-3)\/((-9)\/(-10)). Solve 0 = -m*j + 22*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - w**4 + 2*w**2 + (-2*w**4 - 4*w**4 + 2*w**4)*(-162 + 113 + 78).\nAnswer: -117*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 - 0.245787907.\nAnswer: -51.245787907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4214)\/(-2709)*9\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(2\/4). Suppose -2*x + i = -5. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -572 - 89*f**2 + 1152 - 581 - 6*f in the form o*f**2 + g + i*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/5)\/(h\/(h*(h\/(h\/(h\/(h\/(h\/(h\/(h\/(h*h**45\/h*h))))))))\/h*h)*h) assuming h is positive.\nAnswer: h**(-233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 37*c**2 - 148*c - 599. What is k(41)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3979*i**3 + 114*i**2 + 62*i**2 - 3975*i**3 - 176*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 14, x: 5}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -21*k + 4. Let v be u(-6). Suppose 6*i + 0*i = 18. Suppose -i*n = 3*h + 10 - 100, -h = 4*n - 42. Calculate the highest common divisor of v and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*j**5*t**2 + 9*j**2*t**3 + 945*j - 2*t**3 wrt j.\nAnswer: -780*j**3*t**2 + 18*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. Let u = -2 + 4. Suppose -5 = -u*n + 3. Solve y = -n*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 0.3, 4, -3, 3\/5 in increasing order.\nAnswer: -3, 0.3, 3\/5, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(50) + (sqrt(2) + -2 + -4)**2.\nAnswer: -7*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -30, -41, -32, 3, 70?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -h - 3*h. Let g(i) = -i**2 + 8*i - 4. What is the remainder when h is divided by g(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/8, 2, -295165, 3, 3\/4, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/12 - 241*f**3\/2 + 3229*f**2\/2 - 2781*f. What is the first derivative of a(z) wrt z?\nAnswer: -2*z - 723","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7201507533?\nAnswer: 3, 11, 83, 2629247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from {q: 2, k: 2, r: 1, h: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -69109871761?\nAnswer: -69109871760.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7652 (base 11) in base 2?\nAnswer: 10011101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:05 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1247\/132 + -69\/22. Calculate the common denominator of n and -17\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -5, -19\/7, -3049?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 24*c - 180. Give d(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17679357701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:15 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 12*q**2 + q + 1. Let x be 10 - (4 - -2)\/(-3). Find the common denominator of 42\/23 and m(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514715604?\nAnswer: 2, 3, 13, 3299459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 16*l - 17. Let k be (1 + 19 + 1)*(-187)\/561. Calculate x(k).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -1041 + 1041. Solve 2*c + 4*b - 6 = -t, -2 = 3*c - 5*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 5241*y**2 + 768264*y.\nAnswer: -3*y*(y - 1883)*(y + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-15)\/2))\/((-6)\/210).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*t - 220, 0 = 5*t + 4*k - 46 - 238. Solve 66 - t = -2*j - d, 5*d = 2*j - 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2202 and 1271728.\nAnswer: 1400172528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/6)\/(85\/(-102)). Suppose -4*b - 2*d + 7122 = 0, -3 = l*d - 1. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 411 in descending order.\nAnswer: 411, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-1) + 30)\/(0 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 18448953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 9*l**2 + 9*l + 12. Let w be j(-8). Let t be ((-2)\/1)\/(-4)*w. Let y be (-2 + -10)*10\/(-60). Solve y*f + t = -0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2 (b) 264 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -96*-249.525\nAnswer: 23954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 955113 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/651 and 197\/272118.\nAnswer: 272118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/5340 and 97\/448.\nAnswer: 598080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 3*z + 4*z - 16*z + 22*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l - 72. Calculate j(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5 + 5. Suppose -24 + p = -6*w. Suppose -21 = -201*g + 194*g. Solve -3*j = -g*y, -w*j = 6*y - y + 45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 473168.7 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.5. Let y be (4 + -2 - 3) + (-126)\/(-114). Which is the nearest to -2\/3? (a) i (b) 1\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-238)\/28 - -10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -7, 0, 10, -214, -15?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5817.\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 2, 9, 20, 35, 54?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 21 = -141. Let i be (-9)\/2*16\/r. Let d be (-32)\/(-17) + -2 + 792\/374. Put d, i, -4 in decreasing order.\nAnswer: i, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-5))\/(175\/(-175)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {i: 2, o: 2, c: 8}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 5*q - 9*q**2 - 5 - 3*q - 6. Let c(h) = -5*h**2 - 6*h - 5. Let m(y) = 7*c(y) - 4*g(y). Factor m(v).\nAnswer: (v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 20. Let k = -0.0495 - -0.4495. What is the third biggest value in 2, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 42908979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwwjjnwwkw. Give prob of picking 1 k and 2 w.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 18*y - 14. Let u be v(10). What is the greatest common divisor of 24 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (52 + 6)\/(4\/2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 2196*u + 24640.\nAnswer: -4*(u - 11)*(u + 560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4746.\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 3*d**5\/10 - d**4\/2 - 7*d. What is the third derivative of o(p) wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(1\/10)\/j*j)*j*((j**(-2\/5)\/j*j)\/j)\/j)**(-18) assuming j is positive.\nAnswer: j**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b**2 + 7*b + 11. Determine r(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089\/3267*9\/12*(-4)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 5*q - 2. Let v be u(4). Let h be (-12)\/20 + (-1044)\/10. Let g = 112 + h. Solve -5*p = -g*p - v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:43 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2516 (base 12) to base 14\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 6*m - 2. Let i(f) = 11*f**2 + 48*f - 37. Give -i(u) + 8*n(u).\nAnswer: -19*u**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 5:48 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtit when four letters picked without replacement from tvktttviivctlvtcclv.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39408400 rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + 227*h + 76. Give i(-45).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-106)\/(-297648)*52)*(-1)\/(-1)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.03522, -3, 11?\nAnswer: -0.03522","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 476 + -476. Let p(t) = -t**2 + 7*t - 7. Let r be p(5). Solve -c - 8 + r = h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) + 5*(sqrt(187) + sqrt(187) + sqrt(187)*-2) + sqrt(187) - sqrt(187)) + sqrt(187) - 6*2*sqrt(187))*-6)\/(4*-3*sqrt(99)*2)*3.\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**4 - 2312*a**3*v**2 - 130482*v**2 with respect to a.\nAnswer: 16*a**3 - 6936*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 389699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-70)*2*(-1)\/(-14)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 5 (b) 6 (c) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:28 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:58 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994094?\nAnswer: 2, 497047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108404428 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42147 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*m + 58 = 119*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752183 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:30 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 23. Let n = z + -7. Differentiate -2 - n + 12*m**2 + 0 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/4194784 and 56\/2057.\nAnswer: 46142624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*v + 8, h - 3 = 2*v + 9. Let y = 333 + -336. Suppose -o - 3*o + 3 = -3*p, -o = -2*p + 3. Sort y, o, h in decreasing order.\nAnswer: h, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 p when three letters picked without replacement from {s: 4, b: 6, g: 1, p: 2}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fggk when four letters picked without replacement from gkfgfk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brrb when four letters picked without replacement from rrrbbrrrrr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/28 (b) -1.8 (c) 0.12 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11111 + -58?\nAnswer: 11042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -359 - -360. What is the fifth biggest value in 1\/3, 0.2, l, 2, -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 113, 268, 505, 836, 1273, 1828, 2513?\nAnswer: 3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50120 is divided by 634?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1747)\/39 - -45)*(-1)\/(-4)*27. Factor 34\/13*p - b*p**2 - 16\/13.\nAnswer: -2*(p - 1)*(9*p - 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 742850 and 358.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14289966 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c = 0. Suppose -4*o + 7 + 5 = c. Solve -o*m = -m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20931848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o*q**2*x - 18*o*q**2 + 5*o*q*x**2 - 3*o*x**2 + 5*q**2*x**2 - 14*q**2*x - q**2 wrt x.\nAnswer: 10*o*q - 6*o + 10*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3376\/(-1899))\/(1\/(-18))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 3 (b) 2\/47 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 559381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.326 take away 0.0531842?\nAnswer: 284.2728158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-6 - (-7 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 5 - (-2 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1950, -3896, -5838, -7776, -9710, -11640, -13566?\n\"Answer: 2*f**2 - 1952*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/11 (b) 3\/2 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (47 + -142 - -39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84594*h**3*n*x**2 - 2*h**3*n*x + 2*h**2*n*x**2 - h**2*n*x + 14*h**2 + 2563*h*n*x**2 + 2 wrt h?\nAnswer: 507564*n*x**2 - 12*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 u when three letters picked without replacement from bbuuuubuub.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 731701493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0449 - -2.0449. Which is the closest to i? (a) -2\/9 (b) 5 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*x**2 - x**2 - 10*x**2 to the form v*x + r*x**2 + y and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -17*d**3 - 13*d**2 + 53*d. Let t(f) = -8*f**3 - 6*f**2 + 27*f. Determine -6*m(p) + 13*t(p).\nAnswer: -2*p**3 + 33*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6) + 14 + -1 - ((17 - -7) + -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -14*h - 304. Suppose h*s = 158*s - 5934. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4005*q - 3771*q - 12636 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 3*u**4 + 4*u**4 + (-2 + u**2 + 2)*(4*u**2 - 4*u**2 + 3*u**2) - 12*u + 12*u**4 + 12*u.\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -890271.711 to the nearest 10.\nAnswer: -890270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpjpglpgpl. Give prob of sequence lg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-24.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(5 + sqrt(684) + -1 + 4)*1)**2 + -3.\nAnswer: 3744*sqrt(19) + 27325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 7 - (-1 + -2). Calculate the remainder when (-15)\/(f + 56\/(-10)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/252 and -83\/12880308?\nAnswer: 38640924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4*i + 2*g**4 - 24*g**2*i**2 - g*i**2 + 109*i**2 wrt g.\nAnswer: 12*g**2*i + 24*g**2 - 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8041.85mg?\nAnswer: 0.00804185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 93*c**2 + 1617*c + 131. Give z(-15).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:56 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5610\/(-22)*(-18)\/10. Suppose -b*c - 1760 = -464*c. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.04, -5, 1626759 in descending order.\nAnswer: 1626759, -0.04, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 15, -42, -0.5, -4, -36.\nAnswer: -42, -36, -4, -0.5, 2\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82107290, -82107287, -82107284?\n\"Answer: 3*w - 82107293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 124 + 20*j + 330 - 123.\nAnswer: 20*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-1) + (-96)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 483, 652, 825?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15519868, 15519865, 15519860, 15519853?\nAnswer: 15519844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/3*d + 2\/3*d**3 + 12*d**2 + 0.\nAnswer: 2*d*(d + 1)*(d + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*y - 3*y - 172 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -1858, -4240, -7590, -11908?\nAnswer: -17194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, v: 9}. Give prob of picking 1 t and 3 v.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (604551\/(-6))\/(1\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22958 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + -3) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*y + 55 = 0, 61*l - 88 + 108 = 60*l + y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 26*i**2 - 250 + 126.\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/42 - 10*a**3\/7 - 225*a**2\/7 - 65*a. Determine h so that d(h) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*x - 12 = -177*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -47, -10, -11\/21, 0.2, -3\/2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07409469 + -1405820?\nAnswer: -1405818.92590531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10944 + 11123. Solve 6*x = -131 + i for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -202\/23, 69, 0, 0.4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/96*-184*20\/50.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - z - 16 = 0, 3*b + 3 = -3*z + 9. What is the third derivative of -15*g**2 + 2*g**2 - 13*g**b - 15*g**2 wrt g?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nypddnpnynpdy. Give prob of picking 1 n, 1 p, and 1 d.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 331, 643, 1247, 2239, 3715, 5771?\nAnswer: 8503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9031351*l**3*q**2 + 31*l**2*q**2 + 42573*l**2*q + 2*q wrt l.\nAnswer: -54188106*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/360 + m**5\/90 - m**4\/18 - 4*m**3\/9 + 24*m**2. Factor b(q).\nAnswer: (q - 2)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/1674)\/(221\/(126633\/(-382)))\nAnswer: 2\/279","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -14, -9, 0, 13?\n\"Answer: 2*o**2 - 5*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -25*n + 23*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose 12 = 4*q - y*q. Let s(t) = -2*t - 2. Let m(v) = 2*v + 2. What is q*s(l) + 2*m(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 1 k when three letters picked without replacement from rrwjkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 98 = 4*g - y, 4*y = -12. Find the common denominator of g*(2 - 18\/10) and -119\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 104 = x, -2*h - 3*x + 52 = x. Suppose 0*o + 2*o - h = 0. Suppose -o*b = -16*b + 903. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**2. Let q(k) = -2*k + 1. Suppose -2*a + 4*z + 2 + 2 = 0, 3*z = -6. Let i be q(a). Let p(m) = i*m - m - m**2 - 4*m. Give y(p(r)).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 + n + 3. Let p be g(3). Let d = p - 4. Suppose 0 = -d*y - 10 + 24. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 65462 and -1.6584.\nAnswer: 65460.3416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 959301 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 644985 and 315975.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose -3*j + 1 + y = 0. Let p(s) = -s + j + 2 - 1. Give p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 + -106. Let d = t + -9. Suppose -4*r + d = -6. What is the remainder when 19 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 11000000001000110?\nAnswer: -11000000000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 233 = 197 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:07 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288500 and 4820?\nAnswer: 69528500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**3\/3 - 2*c**2 + 5*c + 1. Let p(z) = z**3 + 4*z**2 + 4*z - 1. Let o be p(-3). What is the units digit of r(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:51 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 215 + 2*t**2 - 5*t**2 + 2*t**2 + 272. Is w(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.06667073 to 4 decimal places.\nAnswer: 1.0667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -775.3 + 813. Let u = 37.79 - w. Put u, 2\/5, 4 in increasing order.\nAnswer: u, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -17*t - 87. Give i(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -z + 64, b = -5*z + 457 - 141. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*s + 14, 3*s + 4 - 13 = 3*p. Let v be 6\/(-10)*(s + -10). Let z = 17 - 9. Solve -13 = -v*a + 2*d, 3*a - z = -0*d + d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 654881?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3918322559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.002 (b) -1732 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-50 + (-39 - -45)) - 36.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let c(b) = -16*b + 295. Let z(k) = 23*k - 294. Let m(i) = 3*c(i) + 2*z(i). Give p(m(y)).\nAnswer: -2*y + 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10110101010110111111?\nAnswer: -10110101010110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4992, 4987, 4980, 4971, 4960, 4947?\nAnswer: 4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -8. Let t(m) = m**3 + 5*m**2 + 5*m + 6. Let b be t(f). Solve -2*k + 12 = b*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2)\/h)\/((h\/h**(1\/4))\/h*h)*((h*h**(1\/2)\/h*h)\/h)**(-3\/14) assuming h is positive.\nAnswer: h**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (9 + 2)) + -8 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, c: 2, n: 6}. What is prob of picking 1 c and 1 n?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-50)*-5*4\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 16*l + 14*l + (-2 + 2 + 2*l)*(-3 + 0 + 1) + 4*l - 4*l + 2*l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 39*l. Let y(u) = -43*u**2. What is w(y(d))?\nAnswer: -1677*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -523 - 254. Let i = t - -776.333. What is i rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgqgggqgqqqqqqgqq. Give prob of picking 2 q.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27327894 and 2214.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*d + 36 = -218*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9568.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/65? (a) 295 (b) 3 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*u = 79, -44 - 14 = 4*t + u. Put 7, t, 1, -4 in ascending order.\nAnswer: t, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/56784 and -31\/897.\nAnswer: 1306032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8533 and 10759?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -14290*x + 21435. Let n(a) = -a + 1. What is d(o) - 21435*n(o)?\nAnswer: 7145*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/4 + 2*z**3 + 2. Find the third derivative of h(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let g(w) = -1 + 3*w + 7*w - 2*w - 2. What are the prime factors of g(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009802 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 3. Let d(n) = 9*n + 7. Let o(u) = 7*b(u) + 3*d(u). Let f(c) = -3*c + 8. Let j(i) = -i + 3. Let y(h) = -3*f(h) + 8*j(h). Determine y(o(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*h + 8 - 1, 263*h - 258*h + 14 = -2*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5557146 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 - 0.03. Let j = -0.17 + 0.17. Let m = j + p. Which is the nearest to m? (a) 1\/9 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 0*i**4 - 11*i**4 + (23*i**4 + 28 - 28)*(1 + 2 - 2) + 0*i**2 + 0*i**2 + 2*i**4 to u*i**4 + v*i**3 + n*i + c + a*i**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.3 (b) -0.1 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7220? (a) -5\/3 (b) 1\/3 (c) 4 (d) -2 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(108) - (sqrt(108) + 1)*1 - sqrt(108)) + 4)**2.\nAnswer: 720*sqrt(3) + 3988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*v + 76800 = 147*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 426 + -426. Suppose h = 97*v - 68*v - 710239. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -713, 18, 2, -21 in descending order.\nAnswer: 18, 4, 2, -3, -21, -713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2\/2 + h + 5. Let n be y(4). Let d be (-175)\/((-263998)\/88000 - n). What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 9 = 8*g. Let w be -6*(4\/g + -1). Suppose -4*q = 5*f - 2*q - 52, 0 = -3*f + w*q + 27. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67096305 and 7065?\nAnswer: 67096305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3144, 4, -5 in descending order.\nAnswer: 4, -5, -3144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1. Let l(f) = f**2 + 5*f - 14. Let b(v) = 6*h(v) - l(v). Let d be b(-7). Let p = d - 1. Calculate the least common multiple of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 942, -83, -1134, -2211, -3314?\n\"Answer: -13*s**2 - 986*s + 1941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/90 and 42\/13.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -173.13 and 0.004.\nAnswer: -173.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2147*p - 84 = -2133*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 267 (b) 0 (c) -13 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 - 1.28. Let t = 3.56 - -0.24. Let r = b - t. What is the second smallest value in -0.3, 2\/5, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534444903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35615 + -7090. What are the prime factors of w?\nAnswer: 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -23. Let n = 22 + s. Suppose -n*k + 9715 = -3385. Round k to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -1\/80*s**6 + 3\/40*s**5 + 0 - s - 3\/16*s**4 + 1\/4*s**3 - 2*s**2. Let i(u) be the first derivative of b(u). Factor i(o).\nAnswer: -3*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-8))\/(3\/6). Let r = -5 - p. Is 6 a factor of r\/8 - 46\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**5\/180 + 23*h**4\/108 - 25*h**3\/27 + h - 94. Let z(j) = 0. What is j?\nAnswer: -25, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/140 and -155\/78.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 5\/42*i**7 + 0*i**6 - 8*i + 0*i**5 + 0 + 0*i**2 + 0*i**3 - 1\/3*i**4. Find the third derivative of c(l) wrt l.\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 221648 and 222539 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -7*w + 9*w. Let l = 20 - w. List the prime factors of 4 + l + (-3 - -65).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4615015, -4615042, -4615071, -4615102, -4615135?\nAnswer: -4615170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 128 = -9*z. Suppose 0 = -7*a + 8*a - z. Let r = a - -111. What is the greatest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*x - 6. Let d = x + 3. Suppose -d*o = -156 - 199. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30745.86 rounded to the nearest 10?\nAnswer: 30750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -8*i - 555. Let w = 329 + i. Calculate the highest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89386.4 to the nearest one hundred.\nAnswer: -89400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -1 - (1 + sqrt(5) + sqrt(80)))*3.\nAnswer: -9*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2376783474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 1, u: 2}. Give prob of sequence uux.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from lzllollzlztqlolzool?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -579339502994971 - 4\nAnswer: -579339502994975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-6))\/((-1)\/2). Let o be 4\/10 - (-72)\/(-30). Let g be ((-4)\/o)\/(-4 + 2). Are v and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/9 - 2*t**2\/3 + 8\/9 = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {j: 3, a: 4, s: 6}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0908 and -1.9?\nAnswer: 1.8092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1581326400 to the nearest 1000000.\nAnswer: -1581000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02099923 to 5 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7 - 720\/504.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2503*u + 1323*u + 10874*u - 143293 - 709779 = 0 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.9 + 59. Sort w, 4, -2.\nAnswer: -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7052\/(-79464) - (-6)\/44?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -6 (c) 0.2 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8448 and 93984?\nAnswer: 751872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-27 - (-10 + -7 + 9 + 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41099413 from -1202.\nAnswer: 41098211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfxxxqfeqeexxq. What is prob of sequence fx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 3:30 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w + 11*w**3 + 8*w**2 - 7*w**3 + 2*w.\nAnswer: 4*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 1. Suppose 30*k - 227 = 13. What is f(k)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 19, k: 1}. Give prob of picking 2 p.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -54753?\nAnswer: 54741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4767, -4768, -4771, -4776, -4783, -4792, -4803?\n\"Answer: -o**2 + 2*o - 4768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.54916 grams to tonnes.\nAnswer: 0.00009654916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9607 is divided by 129.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 2*h + 32. Let f be u(6). Solve -4*m + f*m - 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(143) - sqrt(143))*4)\/((-2*sqrt(77))\/sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-104 + -4 + 4)) + 2. Let n = -100 + r. Solve n*u - 2*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115728651?\nAnswer: 103, 10832317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2 + (23 - (-6)\/3). Do 83\/4 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 2452359*z - 6014064664881.\nAnswer: -(z + 4904718)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546 a factor of 31445848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, z: 2, d: 1}. What is prob of sequence adz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:18 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*(0 + sqrt(343)))**2 - (sqrt(21)\/sqrt(3)*1 + -5)).\nAnswer: -1044 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -165*g - 49048. Determine z(-297).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5572841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 10128*p**2 - 38 + 40 - 7*p**3 + 10160*p**2 - p**4 as r*p**2 + y*p**3 + u*p + b + m*p**4 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -13. Let q(f) = -b + 13 + f + 3. Is 6 a factor of q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5275\/(-10) + (17\/(-2) - -9). What is m rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 4853a?\nAnswer: 48548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-50) + 141\/102.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272403.1 rounded to the nearest 10000?\nAnswer: 1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(143) + -2*sqrt(143) + sqrt(143)) + -4*-2*sqrt(143))\/(sqrt(1100)*-2*2) + 1.\nAnswer: -sqrt(13)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 783\nAnswer: 39.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 22 - (-2)\/(2 + -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2\/7 + 138*h\/7 - 520\/7 = 0.\nAnswer: 4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2175 divide 9826650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-56))\/((-27)\/(-42))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i**2 - i - 1. Let h(g) = -54*g**3 - 4*g**2 + 6*g + 4. Give -h(t) - 4*q(t).\nAnswer: 58*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76910 (base 12) to base 9.\nAnswer: -258113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -5*n**7\/14 + n**4\/2 - 3*n - 9. Let b(h) be the first derivative of u(h). Find the third derivative of b(i) wrt i.\nAnswer: -900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-2\/11)\/f)))**(-18)\/(f**(4\/9)\/((f\/(f*f\/(f**(3\/5)*f)*f))\/f)) assuming f is positive.\nAnswer: f**(9617\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*n + 120 = 3*n, 2*y + 5*n - 48 = 0. Suppose 3*w = 7*w - y. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2292426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:43 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 80. Let v(w) = 6*w + 112. Let d(z) = -7*s(z) - 5*v(z). Let j(l) = 96*l - 1. Determine j(d(n)).\nAnswer: -192*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (4 - 20) + 0 + 44 + -13.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -728\/2151, 2\/11, -0.01, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 + -9.98. Let g = m + 11. Put -3, -1, g in decreasing order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -201 in 18, -1, 1\/4, -1\/3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 969*g**2 + 157*g + 302 - 149 - 153 + 56*g wrt g?\nAnswer: 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 11. Let g be 1*(-1 - (-4)\/w). Let s = -1.03 + 0.03. What is the closest to g in 3, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -73*a + 1 - 1 + 60*a. Let b be (15\/(-12))\/(3\/12). Is m(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + (sqrt(108)*2 - sqrt(108)) - (4 + -3*sqrt(108))))**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/9 + 1084*h**3\/9 - 15982*h**2 - 1084*h\/9 + 143840\/9 = 0.\nAnswer: -1, 1, 232, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 - -169. Solve 2*p + q = -3*p - 5*m, p + 11 = -2*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/(-18)*6\/16. Let k be 2 - 3*(-1)\/1. What is the nearest to -2\/7 in d, -3\/8, k?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x + 20. Suppose 0 - 4 = -x*m. Solve -7 = 3*p + 5*n, -3 = -2*p + n + m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**3 + 235*c**2 - 3014*c + 3 wrt c.\nAnswer: 78*c + 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + r - 1. Let d = -1 + -1. Is i(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -699 + -5?\nAnswer: -6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**3 - 5*k**2 - 11*k + 4. Let i(g) = 18*g**3 - 13*g**2 - 34*g + 11. Let f(u) = 2*i(u) - 7*p(u). Factor f(n).\nAnswer: -3*(n - 2)*(n + 1)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*j + 8 = -347, 0 = -3*s - 2*j + 295. What are the prime factors of s?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.288 + -39.3. Let w = -3 + q. What is w rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -2*g. Suppose 6*k = g*k + 40. What is the remainder when 18 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2124, 4227, 6296, 8313, 10260, 12119, 13872?\n\"Answer: -3*s**3 + s**2 + 2121*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 75*z**2 + 112*z - 85. Does 9 divide s(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/((-7)\/(-238)). Let n = -27 - h. Suppose 3*w + 3 = n. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 49, 3, -321, 2 in ascending order.\nAnswer: -321, 0.07, 2, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-16.42.\nAnswer: 49.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + ((sqrt(2448) + sqrt(2448) + 2)*-3 + sqrt(2448))*-6*1 + -5))**2.\nAnswer: 74880*sqrt(17) + 8815504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(13) + sqrt(637) + 0 + 3)**2.\nAnswer: -36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 647695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -931624*b**3 - 1409881*b.\nAnswer: -5589744*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -3, 0.09, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91710787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 4)*(-3*m - 1210*m**3 - 2275*m**3 + 242*m**3 - 421*m**3 - 32*m**3) in the form f*m**2 + u*m + a + i*m**3 and give i.\nAnswer: -3696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+3339355450647\nAnswer: 3339355450646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647665.\nAnswer: 5, 329533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5961\/5 (b) -1\/16 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 47 + 50 = -3*u, -49 = u + 5*n. Put u, -2\/5, -15.71 in ascending order.\nAnswer: -15.71, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 18154?\nAnswer: -18158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + v**2 + 2602*v**3 - 2623*v**3 - v**2 + 10*v - 9*v**2.\nAnswer: -v*(v + 1)*(v + 10)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 707 divide 81242077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -890, -0.5, -3 in descending order.\nAnswer: -0.5, -3, -890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5 - 17. Let y(i) = -22*i**2. Let n(j) = -27*j**2 + 13*j**2 - 18*j**2 + 5*j**2 + 18*j**2. Determine k*n(o) + 5*y(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 771.\nAnswer: 2\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 10 - 4*u - 2*u to p + a*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21737 + 21764. Calculate the remainder when 1360 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100 + -110110111001111110101?\nAnswer: -110110111001101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 6*v**2 - 3*v - 7. Let i be r(7). Let k = i + -49. Let y = 23 - k. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(4\/13)\/u))\/u*u*u*u**30)\/(u\/u**(2\/41)*u*u**21))**(-36\/7) assuming u is positive.\nAnswer: u**(-206100\/3731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1, s: 1, k: 2, d: 1, b: 1}. Give prob of sequence ea.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z**3 - 12 + 12 - 9*z - 1473*z.\nAnswer: -39*z**3 - 1482*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*p = 3*p + 33, 5*d + p = 5. Suppose -3*a + d*m + 11 = 0, 0*m = 2*a + 4*m - 2. Let v be 8*(0 + 9\/12). Solve v = a*i - i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 62.3\nAnswer: 43.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2892 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbt when three letters picked without replacement from gbgttwmwgwgbgbgtwg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 36 = n - 5*k, 2*k + 8 = 0. Let q(b) = 17*b + 5. Let x be q(n). Let m = x + -48. Solve -m = -5*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884\/6875 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(-695 + 695 - 558*m) + (4 - 4 - m)*(-2 + 1 + 0) - 2*m + 0*m + 4*m.\nAnswer: 1119*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 77. What is w(11)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -59.000000063. Round l to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*x + 25*m**2 + 16497*m*x**2 - 24*m wrt x.\nAnswer: 2*m**2 + 32994*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92211 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*q = -605*q - 1071 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/((-3)\/2)*(-1344)\/128.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.694 - 195385153792.\nAnswer: -195385153792.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.23 (b) 0.5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -39. Solve -4*l + a + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.8 - 8. Let f = -1.7 - q. What is the second smallest value in f, 4, -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*w**4 - 38*w**2 + 90 wrt w?\nAnswer: -8*w**3 - 76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-2*g**2 + 5*g**2 - g**2 + 5*g**2 + 0*g**2 - 4*g**2 - 6*g + g**2 + 6*g + (-1 + 1 - g)*(3*g - 5*g + 0*g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -917*v + 35. Let f(x) = 765*x - 34. Let n(b) = 6*f(b) + 5*i(b). What is n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -68, -1\/6, -3, 1.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 1417, 2126, 2835, 3544, 4253?\nAnswer: 4962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238\/3 - -80. Let l(j) = j**3 - 6*j**2 - 13*j + 42. Let x be l(7). Let g = u - x. Which is the nearest to 2\/17? (a) -3 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(9\/(270\/(-96))).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7885 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 825 and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47741.61 minutes to microseconds.\nAnswer: 2864496600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Let z = -24 - -27. Suppose -4*p + f = -z*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 50816*j**3 - 241168056*j**2 - 506739946880*j - 397767523692100 = 0. Calculate j.\nAnswer: -3515, -2837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:07 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - q - 1. Let h(x) = -3*x**3 + 2*x**2 + x + 4. Let b(y) = -h(y) - 3*i(y). Let r be b(2). Suppose -2*l - 9 = -r. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26549 is divided by 918?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 + 4*h + 2. Let i be f(9). Suppose 5*a = 5*y + 706 + 2069, 2*y - 3*a = -1114. Let p = i - y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9310 divided by 70.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221109*o**3 - 3*o + 3*o - 58564*o**3.\nAnswer: -279673*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4603*t + 9198*t = -10569*t - 1421*t - 480965 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, 207, 201, 0, -2 in decreasing order.\nAnswer: 207, 201, 0, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1356 = 3*q, -6*q + 5*k + 1790 = -2*q. Suppose 0 = -5*d - 70 - q. Let f = -7 - d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12244580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5*p - 43*m**2*p - 110*m*p wrt m.\nAnswer: -40*m**3*p - 86*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -44*z**3 + 17740*z**2 - 73448*z + 12768 = 0.\nAnswer: 2\/11, 4, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5272*r + 5274*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*f = -317 + 121, -200 = -5*o - 4*f. Calculate the lowest common multiple of 80 and o.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, q: 5, r: 5, t: 7}. Give prob of sequence rrtr.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212301 (base 4) to base 13.\nAnswer: -118b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4735 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-81)\/15 - -1 - (-3 - 2). Put b, 3, -4\/21 in descending order.\nAnswer: 3, b, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*f - 34. Suppose -3*o - 44 = -o. Let i = o + 34. What is the highest common divisor of f and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 167439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -84, 812, 2, -5, -13 in decreasing order.\nAnswer: 812, 2, 1, -5, -13, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*f = 2*n + 7, -3*n = -4*f + 36. Let k(t) = -t**2 - 7*t + 3. Calculate k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.399998827 + -25.4. Round b to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-17 + -23 + -1)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.6789 nanograms in tonnes?\nAnswer: 0.0000000000002166789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q + 2*q - 3*q. Suppose 4*u = -4*n - u + 17366, 4349 = n + 5*u. Let r(p) = -3*p - 4339 + n. Calculate r(w(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2. Let t(l) = -8*l. Suppose z - m + 23 = -3*z, 4*m = 3*z + 27. Let b(x) = -15*x. Let f(r) = z*b(r) + 9*t(r). Calculate s(f(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 83*m**2 + 0*m + 0 + 8\/9*m**3 - 5\/24*m**4 - 1\/180*m**5. Find n such that h(n) = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25635079*r**4 - 2*r**3 + r**2 - 453610744*r?\nAnswer: -307620948*r**2 - 12*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -788.5218 rounded to the nearest 10?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*q = 5, -r - q + 0 = 1. Suppose -7 = -4*g - 3*h, 0 = -13*g + 11*g + 2*h. Calculate the common denominator of (r - (-73)\/22)*g and 107\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 14. Suppose 0 = -3*v + 4*j + 8, i*v - 2*j = 3*v + 4. Suppose 6*h - h - 55 = v. What is the smallest common multiple of 2 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 4*h + 15. Let f(r) = -2*r + 1. Let p(o) = 7*o - 4. Let w(l) = 11*f(l) + 3*p(l). Calculate m(s) + 3*w(s).\nAnswer: 2*s**2 + s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13584372 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**3 + 2*g**2 - g + 1. Let r be i(1). Put 2, 5, r in increasing order.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r. Suppose -5*v - 10 = -4*w, r*v = -4*w - 4*v - 8. Suppose w - 15 = -x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5429*v + 170568 + 68308 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 + f + 1. Let w(g) be the third derivative of g**6\/40 - g**5\/15 + g**4\/4 + 5*g**3\/6 - 21*g**2. What is 6*u(a) - w(a)?\nAnswer: 3*a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2480 or 0?\nAnswer: -3\/2480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122194 by -1142.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 101*h**2 + 93*h - 133. Let w be n(48). Round w to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6094 is divided by 1521?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j - 2*z + 361, 3*z = j - 135. What is the remainder when j is divided by 51?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -36. Suppose -370 + 130 = -b*f. Suppose -4*a - v = -0*v - 11, -3*v + 5 = 5*a. What is the greatest common factor of f and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.99 - -2.89. Which is greater: t or -255?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -8. Let d(h) be the first derivative of -h**2\/2 - 12*h + 5. Let n be d(-7). Put -1, n, a in descending order.\nAnswer: a, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/13 + 738*z**3\/13 - 1492*z**2\/13 - 2952*z\/13 + 5936\/13 = 0 for z.\nAnswer: -371, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -42, -69, 1, 0.4, 4\/3, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4 - 0. Suppose -4*k - m - 6 = -2*l, -k = -l. Let s be (-2)\/4 + 6\/k. Sort -1, 1, s in decreasing order.\nAnswer: 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 - 1. Let o be q(-1). Suppose -31*j - o = -27*j. Sort j, 2, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 225071052 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -617 and 76086.\nAnswer: 75469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 550\/(-750)*(-6)\/20. Is b not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**2 - 533*a**2 + a**3 + 389*a**2 + 3*a**3 + 52*a**2 + 46*a**2.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*h + 145. Let l = -16 + h. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -366*g + 436*g - 92400. What is the remainder when g is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aslbwww. Give prob of picking 1 w and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8345438?\nAnswer: 2, 4172719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/15)\/(2\/(-6)). Which is the smallest value? (a) 1 (b) n (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/148 and -79\/37704?\nAnswer: 1395048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.3, 3, 23, 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 - 1)*(2*l**3 - 187*l**2 - 28*l + 187*l**2) to u*l**2 + j*l + r + t*l**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1848 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -153, -507, -1201, -2349?\nAnswer: -4065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nppnkakka. Give prob of sequence aka.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 8*p**3 - 2*p**2 - 3*p**2 - 356 - 359 + 716. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/8 and -46*(-1)\/(156\/9).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*q = 253 + 463, -q - 537 = -3*p. What are the prime factors of p?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27417 is divided by 9066.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q. Suppose 0*m - 3*m + 12 = 0. Suppose 0*j - 4*h + 3 = j, -2*j + h = -6. Let x(l) = -3*l - j*l + m*l + 0*l. Determine x(u(i)).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*i + 17, -u + 10 = -5*i + 1. Suppose -2*l = -u*l + 36. Solve 0 = -w + a + 6, 3*w - 4*a - l = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4774d - -2?\nAnswer: 47751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25.19907ml?\nAnswer: 0.02519907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v. Let r(u) = -56*u**2 - 9*u + 9. Let s(t) = 14*t**2 + 2*t - 2. Let a(l) = 4*r(l) + 18*s(l). Determine a(i(f)).\nAnswer: 448*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 3, 192\/13, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-5\/4))\/j*j)\/j**(6\/7) assuming j is positive.\nAnswer: j**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*y + 1 = 11, 4*l = 3*y + 5. Suppose -q = l*o - 308, -4*q + 1947 = -2*o + 755. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 6:24 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-25)\/r**21*r*r**(-24)*(r*r*r\/(r*r**(3\/13)))\/r assuming r is positive.\nAnswer: r**(-887\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -11 + (-30 - -26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 77, -4 in ascending order.\nAnswer: -4, -3, 1, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1061356867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4081154 to the power of 1\/2, to the nearest integer?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 170441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-24))\/((-171)\/(-76))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5.6, -1\/3 in ascending order.\nAnswer: -5.6, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1757 + -896. Which is smaller: r or 862?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 46097 = 3*d, 6*d - 46111 = 3*d + 2*o. Suppose -6*y + d = -12057. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 15 - 5. Suppose -4*k = -241 - 479. Calculate the highest common factor of f and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5917 times 0.14?\nAnswer: 828.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-6 - 0) - (10 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(143) + 2*(sqrt(143)*-3 + sqrt(143) - sqrt(143)) + sqrt(143) + sqrt(143)))\/(sqrt(77)\/(sqrt(7) + sqrt(2016)\/sqrt(8))).\nAnswer: -105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -489*y + 5. Let g(a) = -4400*a + 44. Determine -5*g(i) + 44*j(i).\nAnswer: 484*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(2\/99)*((n\/n**(-1\/2)*n)\/n)**(4\/19) assuming n is positive.\nAnswer: n**(1706\/5643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3470 and 2082.\nAnswer: 10410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, j: 4, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30, -12, -54, -96?\n\"Answer: -42*u + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + k + 11, s + 15 = -k + 6*k. Let f(z) = z**3 - 5*z**2 + 4*z + 6. What is the remainder when 76 is divided by f(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518 and 344026.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -48 + 307*a + 305*a + 290*a - 916*a. What is l(-8)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7549953, 7549958, 7549965, 7549974, 7549985, 7549998?\nAnswer: 7550013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -529*a**4\/3 + 1747*a**3\/2 - 506*a**2 - 3. Differentiate k(s) wrt s.\nAnswer: -4232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + (5 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/6*280\/(-210)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2129, 2073, 2017, 1961, 1905, 1849?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 + 38*y - 11. What is x(-11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7.65. Let t = d + -3. Let p = -0.34999942 - t. Round p to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 2\/5, 0.61, 2\/3, 892, 4 in decreasing order.\nAnswer: 892, 45, 4, 2\/3, 0.61, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 268197.1ml in litres?\nAnswer: 268.1971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1228?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrxrxxqxyz. Give prob of sequence rxz.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v - 3. Let x be a(1). Suppose -x*i = 3 - 23. Sort -12, -2, i in increasing order.\nAnswer: -12, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 83. Let k be (1 - (2 - 5))\/1. Suppose k*n + 4 = j, q = -5*n + 21 + 9. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 - 38451?\nAnswer: -38412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uluullkllnuuuulmumlu. What is prob of sequence nk?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 324 - 5?\nAnswer: 31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t. Suppose t = c - 21 - 136. Suppose c = 6*g - 2*g + a, 3*g - 4*a - 94 = 0. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-267)\/(-15) - 1*6\/(-30). Suppose -4*q + 7084 = -i*q. Round q to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(10\/9))\/(g\/((g**(-3)*g)\/g)) assuming g is positive.\nAnswer: g**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:06 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-38 - -36 - -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106582, 106437, 106292, 106147?\nAnswer: 106002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25939*v**3 - 4560*v - 7 wrt v?\nAnswer: -155634*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 72*c**2 - 32*c - 81. Give g(-73).\nAnswer: -3074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47, -44, -39, -32?\n\"Answer: z**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5374 less than 23?\nAnswer: 29.5374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(21\/2)*v\/(v**(-11)\/v))\/(v**(8\/7)*v**(1\/7)*v) assuming v is positive.\nAnswer: v**(297\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 13 = -p - 5*o, 5*o = 5*p - 15. What is the nearest to -1.6 in -0.1, 3\/7, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18201, 18188, 18167, 18138, 18101, 18056?\nAnswer: 18003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 93979.83 milliseconds?\nAnswer: 93979830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 91000491778 and -1.48.\nAnswer: 91000491776.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(((-4)\/(-6))\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130892 - 1964*p + 238*p - 82975 - p**2 - 2*p**2 + 124*p = 0 for p.\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58412 (base 16) to base 5\nAnswer: -43031430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11994667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/2060623 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157\/8 + 19. Calculate the common denominator of m and (-1)\/3 - (-14)\/132.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 0 + 7 + -3 + -4 + (-16 - -20)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 28747306.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 2*o - 1. Let h(k) = -2*k**2 + 2*k + 1. Calculate -4*b(p) - 5*h(p).\nAnswer: -2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3002, -6573, -11058, -16913, -24594?\n\"Answer: -76*v**3 - v**2 - 3036*v + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 13, 50, 123, 244, 425, 678, 1015?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from gkkczszkcskkgzsgkgc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = -c, -4*c = 2*m - 0*m - 16. Suppose -d + 2*d - x = 96, 0 = 5*d - m*x - 486. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/30 + d**4\/12 - 5*d**3\/6 - 5*d**2. Let h(j) = -3*j**2 - 3*j + 8. Determine -5*h(u) - 8*p(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 24 = -168. Let r = -34 - k. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a millimeter in nanometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 12860?\nAnswer: 25720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2.73, 2\/5, 2, 3.\nAnswer: -6, -2.73, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 6\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6010*s - 3003*s - 3012*s + 19 + (1 + 2*s - 1)*(4 + 3 - 6).\nAnswer: -3*s + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53872*v + 84 - 26 - 10 - 28 - 20)*(-2*v**3 + 3*v**3 + v**3) to o*v**4 + d*v**2 + z*v**3 + i + j*v and give o.\nAnswer: 107744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(20\/5) + 7. Suppose -z*b + 11 = -5*s, 0*b = 4*s - 2*b + 4. What is the nearest to 2\/3 in 4, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001 - -101110110101000001?\nAnswer: 101110110010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 8160*s + 1905588.\nAnswer: 3*(s - 2462)*(s - 258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*h**2 - 116*h**2 + 69*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*h**2 + 2523 + 41*h**2 + 7*h**2 to d*h**2 + s*h + r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7*l + 364. Let f(u) = -4*u**3 - 35*u**2 + 9*u - 6. Let n be f(-9). What is the tens digit of n\/(-15)*(l + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1639116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 2*l - 30 - 49 - 9*l**2 + 2*l.\nAnswer: -9*l**2 + 3*l - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 1)*(-229 - -232). Let p(o) = -o**3 - 10 + 4*o - 4*o**2 + 8*o**2 + 3*o**2. Let f be p(7). What is the highest common divisor of f and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -928336 divided by 58021\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*f - 1 = -127, -4*q + 102 = 9*f for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (sqrt(209) - (sqrt(209)*-3 + sqrt(209) + sqrt(209))))*2)\/sqrt(11))**2*-5.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 1, d: 1, m: 3, s: 1, g: 6}. Give prob of picking 1 h, 2 g, and 1 d.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*k)*(3 + 0 - 5)*(-13 - 9 - 5).\nAnswer: -108*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*1.431\nAnswer: 2.7189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 103. Suppose 4*g = -19 + 3, -2*g + o = q. Is 86\/7 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1095 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, t: 1, k: 2, p: 1}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -130 (b) 5 (c) -0.0305 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10422017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-129*146\/(-9417))\/(((-18)\/(-3))\/(-1))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138555 is divided by 430?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7*y**2 - 3 + 4734279*y - 4734075*y.\nAnswer: -7*y**2 + 204*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 81854, 81852, 81850, 81848, 81846, 81844?\n\"Answer: -2*h + 81856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 4, 2\/7, 1\/16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.144277 rounded to 3 decimal places?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -248.9 - -249. What is the third smallest value in 0.31, i, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107951 - 7*u**3 + 107951 - u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59627 is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 - 3 = 0. Solve 0 = 3*n + q*s + 11, -5*n - 2*s = -4*n + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 - -97?\nAnswer: d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -140, -3, 12, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-1\/2)*(r*(r*r**(-2\/7)\/r)\/r*r)**(-15))**(-40) assuming r is positive.\nAnswer: r**(3140\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + sqrt(13) + sqrt(26)\/sqrt(2) + -2 - (-1*sqrt(208) + (sqrt(13) + (sqrt(13) - 4*(sqrt(13) + -2*sqrt(13))))**2).\nAnswer: -464 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*18\/56)\/((-24)\/(-28))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and (5\/(-60)*-88)\/((-2)\/(-21)).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 25433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 909.8687 millilitres in litres?\nAnswer: 0.9098687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708 = 94*r + 1178 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 473470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 12. Let b be r(10). Put b, -3, 1\/5 in ascending order.\nAnswer: -3, b, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (115 - 122) + (-5 - 1) + 12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.33 and -5?\nAnswer: -91.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/4*340\/(-255).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2074660 + 1325340 = 0. What is k rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/30 and 3\/(-1) + (161\/24 - -1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 2. Let l(t) = -7*t + 3. Give -4*l(y) - 9*x(y).\nAnswer: y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.601425953 to 1 dp.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*2\/8 - 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -33\/14086, -0.1?\nAnswer: -33\/14086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83987389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**4 - 25*w**3 + 6*w**2 + 3. Let k be (-4841)\/824 - (-1)\/(-8). Let j(r) = -5*r**4 + 99*r**3 - 26*r**2 - 13. Let c(m) = k*j(m) - 26*z(m). Factor c(h).\nAnswer: 4*h**3*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/14*-5 + 16\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.64 - 14.2136. Let d = p + -1.26191. Let r = d + -0.163. Round r to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -419*f - 1. Let s be m(-4). Let p be (0 - (-1 - 7))*s. Suppose o = -0*o - p. Round o to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 73498004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122199292 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 5*f. Let g be a(-4). Suppose g*j - 11 = -3*q + 28, -4*j = -4*q - 60. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(176) + -1*(sqrt(176) + 3) - sqrt(176)) + ((-1 + sqrt(176))*-3 - (sqrt(176) + 0)*5))**2 + 0.\nAnswer: -480*sqrt(11) + 3041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 352, -2, 1 in descending order.\nAnswer: 352, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -20*x - 97. Give z(-8).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by (-105)\/(-9)*270\/150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -260*o + 242*o - 252 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 0 + 0 + 5*a**4 - 4*a**4 - 2*a**4 + (3*a + 0*a + a)*(-3*a**3 + 2*a**3 + 3*a**3) - 5*a**4 + a**4 + 2*a**4.\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(6*sqrt(11)*1) + -5)**2.\nAnswer: -5*sqrt(5)\/3 + 905\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(1 + sqrt(832))**2*-2 + 3.\nAnswer: -29985 - 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -0*o. Solve -4 = -o*q + 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 10 = 34. Suppose 2 + 2 = m. What is the highest common divisor of m and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24620 is divided by 56?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)*f*f\/(f\/f**(2\/7)*f)*(f\/f**(-21))**(-12\/17) assuming f is positive.\nAnswer: f**(-2052\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -16. Let l be 32\/h + -3 + -4. Let w = -6 - l. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (18 - (21 + -21) - 24)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008652131 to 7 dps.\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*r**3 - 11\/3*r - 2 - 4\/3*r**2.\nAnswer: (r - 6)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 31 = -h, -5*z + 0*h - h + 39 = 0. Suppose 2*w = -0*w + z. Differentiate 5 - 4 + 2*i**4 + i**4 + 0*i**w with respect to i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k**2 + k**2)*(-4 + 1 + 2)*(-10 - 11 - 4)*(-k**2 + 0*k**2 + 0*k**2)*(2 - 6 - 13) + 3*k**4 + 0*k**4 - k**4.\nAnswer: 1702*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2)\/((24\/6)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/16)\/((-2)\/(7 + -105)) and 37\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 19*v - 10. Let o(d) = 23*d - 7. Calculate 6*j(x) - 5*o(x).\nAnswer: -x - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + i + 180 = 0. Let f = 459 - 297. Calculate the greatest common factor of f and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 - (93 - (-26 - -94))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 9*k = -19*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 + 8*n**4 - 2*n**2 + n**4 + 3*n**4 + 287*n + 3 - 274*n in the form b*n + q*n**2 + o*n**4 + l + s*n**3 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*l + 1 = 0, -7677 = c - 2*l - 7676 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in -54, -2\/5, -7222, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -55, -89, -129, -175, -227, -285?\n\"Answer: -3*o**2 - 19*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 7. Let o(p) = 5*p + 36. Let q(t) = 11*b(t) + 2*o(t). Let n(m) = -3. Determine 5*n(r) - 3*q(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v*v*v*v*(v\/v**1)\/v*v)\/v)**(-28)*v**7\/(v\/(v*v*v**(-1\/12)\/v*v)))**31 assuming v is positive.\nAnswer: v**(-49135\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1002728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13957188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 2*r**2 + 2*r + 8. Let w be q(-2). Suppose -739 - 233 = -w*o. Suppose 0*i - o = -3*i. Calculate the remainder when 50 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413912 is divided by 40850?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p. Let h(v) = 53*v - 14*v - 29*v. What is i(h(c))?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**27)*c\/(c*c*c**(-3\/5)*c))**(3\/4) assuming c is positive.\nAnswer: c**(-213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/24*((-126040)\/10 - 12) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24726, 46317, 67908, 89499, 111090?\n\"Answer: 21591*f + 3135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 9*g**2 - 10*g - 44. Let a be o(-9). What is the derivative of 59*n + a + 118*n - 83*n + 102*n wrt n?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - (1 - 2 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 0*d**3 - d**3 - 5*d**2 + d - 1. Let n be (-22)\/2 + 4 + 2 + 0. What is the remainder when 14 is divided by x(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28717.61 - -28575.61089. Let y = -142 - i. What is y rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*q + 214, 205 = 5*u - 8*q + 3*q. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/72176974 and -3\/533656.\nAnswer: 288707896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 641579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535452079.\nAnswer: 535452079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*z**3 + 165*z**2 - z + 6.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 98 = 8*q. What is the units digit of 18\/(-4)*(q + 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4631365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 301887*i - 2220. Let g be b(60). Round g to the nearest one hundred thousand.\nAnswer: 18100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/60 + 3*k**4\/8 - k**3\/3 + 2*k**2. Let o be l(-9). Let t be (-3 - o) + (-10)\/(-12). Sort 1, 0.3, t.\nAnswer: t, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 7, 0.468?\nAnswer: 0.468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -58. Let z = q + 55. Suppose 4*o + z = -8. Which is smaller: o or -19\/6?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 18. Give o(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 4 (c) -2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 6, w: 5}. What is prob of picking 1 q and 2 w?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2377 - -2379. Let j(n) = n**3 + 1. Let s(q) = 3*q**2 + 2*q + 2. What is z*j(t) - s(t)?\nAnswer: 2*t**3 - 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28188)\/70370 - 4\/(-10). Let f = -330667\/126666 + m. Let o = 30023\/7974 + -19\/443. Calculate the common denominator of o and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19944 is divided by 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5 + 3*g**4 + 533*g**3 + 513*g**2 - 2116*g - 2100 = 0 for g.\nAnswer: -21, -2, -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 - 34*q**2 - 20*q - 12. Let t be w(-8). Suppose -14*x - 20 = -t. Suppose p**3 - 1\/2*p**4 - 1\/2*p**2 + x*p + 0 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 13*j + 319. Calculate the remainder when 88 is divided by l(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757124415 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3041 is divided by 1973?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 113 = 4*i. Let v = i + 26. Let n(w) = 11*w**3 + w**2 + w - 1. Let h be n(1). Calculate the greatest common factor of v and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*g - 14*g + 5*g)*(61*g**2 + 382*g**2 + 91*g**2).\nAnswer: 7476*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 8*z**3 + 49*z**2 + 53*z**2 + 2*z**3 - 103*z**2 in the form h*z + v*z**2 + g + k*z**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 167738017.4 to the nearest ten thousand.\nAnswer: 167740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -z + 5*z - 10, -5*g + 3*z = -27. Suppose 8040 = g*x - 1026. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.087626ms in seconds?\nAnswer: 0.009087626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 9. Let r be (-132)\/(-18) + 2\/3. Let c be m(r). What is the remainder when 14 is divided by (0 - c)*-5*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*l + 4*t + 229, 0*t + 0*t = -0*t + t + t + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14246379 or -14246380?\nAnswer: -14246380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9314 is divided by 9181.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = -12*o - 46. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1390850.432 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 424*u**2 - 296 - 213*u**2 - 212*u**2 as x*u + b + v*u**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*s**3 - 292*s**3 + 641*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 36270.9697 to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13037 + -264?\nAnswer: 12993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -11*v**3 - v**2 - 3*v - 1. Let g be d(-1). Suppose -5*k - 5*j + 12 = -2*k, -k + 6 = j. Let b = g - k. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13486*a**5 + 2*a**2 - 3492*a + 1.\nAnswer: -809160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 25 = -g, 0 = m + g - 1 - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 17, 13, 13, 23, 49, 97?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104835 and 330.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -200*u**2 + 1567*u - 1399. Differentiate p(z) wrt z.\nAnswer: -400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15015)\/84)\/55)\/((-2)\/((-32)\/(-4)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11104, 11106, 11108, 11110?\nAnswer: 11112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 1. Let i = 1 + 1. Let n(a) = 5*a - 2. Suppose 0*k + 4 = 4*k. Let h(c) = i*r(c) + k*n(c). Let b(s) = -5*s. What is -5*b(q) - 8*h(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**4\/t*t))\/t**2)\/(t**(-2)*t**1\/t) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v - 7. Let q(d) = -d + 1. What is b(n) + 5*q(n)?\nAnswer: 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdygfcud. What is prob of sequence cg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4\/5 + 1842*n**3\/5 - 362691*n**2\/5 + 4143636*n + 432081216\/5 = 0. What is n?\nAnswer: -16, 189, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 187, -7\/125, 0.2, 2 in decreasing order.\nAnswer: 187, 2, 0.2, -7\/125, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 2052471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 131*j**6\/40 + 227*j**4\/6 - 162*j**2. Find the second derivative of z(n) wrt n.\nAnswer: 2358*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b - 50*b - 53*b - 17*b**2.\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 17*f = 0. Suppose f*m = -3*m. Solve m = 16*c - 14*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4541 - 1793. Calculate the highest common divisor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 70 = 5*r, r = 4*r - a - 32. Let m = r + -5. Suppose 0*h + m*h + 2 = -2*n, h + 1 = -n. What is the biggest value in 0.5, n, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 51 = -11. Let k be 6\/4*64\/24. Suppose -l*p = -3*p - k*x - 190, 180 = 2*p - 2*x. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y + 13. Let s be (2 - 4)*(12 - 2). Is y >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + ((-9 - -8) + -16 - -30).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -256 - -1053. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 11, q: 3}. Give prob of sequence qt.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7070449.\nAnswer: 31, 61, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4858321 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 20 = -4*d, -q = -2*q + 4*d + 28. What is the highest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-8))\/2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 9*n + 1. Let o(v) = -v**2 - 11*v - 1. Let x(w) = -2*o(w) - 3*z(w). Suppose -g = -4*g - 9. Let r(h) = 4*h**2 - 4*h. What is g*r(d) + 2*x(d)?\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 34, 16, -2\/31, 1, 5?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110011110101010 (base 2) to base 11.\nAnswer: 631a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 24*x**2 + 1. Calculate the remainder when (3*(-15)\/10)\/((-1)\/22) is divided by t(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264192 and 1280.\nAnswer: 1320960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*o + 215 = 4*o - 0*o + 5*i, 59 = o + 9*i for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -32. Let w(a) = 10*a**2 - u*a**2 + 1 + 4. Let o(v) = 3*v**2 + 2. Give -11*o(q) + 4*w(q).\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/80*20\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957*k - 2324*k = 2325*k + 5221 + 20623 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 3, u: 7}. Give prob of sequence kk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = o - 3*p, -5*p + 24 = 4*o - o. Let q(j) = -j + 6. Let r be q(-5). Let y be 1\/(o + (-32)\/r). Solve 5*b - y = -1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 4*x + 549. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 15}. What is prob of picking 1 j and 2 h?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + (7 - 1 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1102*f - 2181. Calculate r(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 57\/(-2)*(-4)\/(-12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.56*0.05633\nAnswer: -0.0315448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from fssg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.783229 - 0.8184. What is t rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413 is divided by (10\/2)\/(22*125\/70950)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28066966 to the nearest integer?\nAnswer: 5298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 + 57. Let d be (c\/15)\/((-2)\/10). Let b be 8\/d + 51798\/7. What is b rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {y: 3, e: 6, h: 1, k: 3, f: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7816.523ug in milligrams?\nAnswer: 7.816523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + z + 2 = 48, -2*z - 8 = 0. Let r(g) = 3*g**2 + 17*g + 20. What is the remainder when r(k) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 626729.379 to the nearest one thousand.\nAnswer: 627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-55*(-32)\/2112).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*y**4 - 18*y**3 - 16*y**3 - 22*y**3 - y**2 + 58*y**3 to the form q + m*y + w*y**4 + b*y**3 + a*y**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g - 40087 = -41015 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 + 141*i - 53. Is 115 a factor of r(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -19, -37, 8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53599910 - 53599940.000033. Let v = 5.3 - -24.7. Let f = v + o. What is f rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 2\/43, -2, -6, -210 in ascending order.\nAnswer: -210, -6, -5\/2, -2, 2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012989 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -216, -218, -220?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23135 + -23135.0014278. What is x rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*3 + 59\/14 and -43\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 1, u: 1, r: 5, v: 4}. Give prob of sequence uvva.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c**2. Suppose 0 = -5*i + 4 + 6. Let u(m) = 6*m**2 - 15*m**2 + 18*m**2 - 2*m**i. What is s(u(a))?\nAnswer: 539*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/22*4\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2 + 10*f + 2. Let q be h(-4). Let k = q + 170. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*v + 512, -559 = -2*r + 4*v - 223. Solve 26*u = 46 - r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*q - 3*q + 2*a, -a = -3*q + 21. Let r = 144 - 145. Calculate the remainder when (r - -15 - -1)*64\/48 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - c**2 - 2. Let i(n) = 4*n**3 - 3*n**2 + 694*n + 814. Let k(q) = 3*h(q) - i(q). Find the first derivative of k(y) wrt y.\nAnswer: -3*y**2 - 694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 9*n**2 - 16*n + 66. Let h be u(-11). Which is the third biggest value? (a) 5 (b) h (c) -2 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 47. Calculate the smallest common multiple of 58 and s.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 20*g - 121. Let o be y(-5). Sort o, -3, 30 in ascending order.\nAnswer: -3, o, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7559 (b) -2\/61 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**5\/30 - g**2\/2 + 2*g. Let m(l) be the first derivative of x(l). Let q(n) = n. Calculate q(m(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*r + 15370 = -672 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q, 3*q - 7 = -5*f + 12. Suppose 2*z - 9 = -z. Suppose 1 - 10 = -g. Solve -z + g = f*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3371?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -m + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2582 is divided by 738?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95\/23 + -3445\/667. Are n and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 2*s + 1. Let n be -1*(2 - 4) - -36. Let u = n - 34. Suppose -2*h = 5*x + 1, 5*h = 2*h + u*x + 10. Give c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*b - 3*w + 44, -1 = -w. Suppose z - 3*z - 3*s = -b, -15 = -5*s. Solve -z*r - 32 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -k + 7*u, -u = 2*k - 15. Let n be (1 - -33) + (4 - k). Suppose -4*l + 347 = n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117278141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o - 13. Let m be r(-6). Suppose 2*n = -4*j - 10, -m*j = -3*j - 4*n - 20. Sort 5, j, -2, 2 in descending order.\nAnswer: 5, 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19223\/25 + -769. What is the fourth biggest value in w, 0, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248120 is divided by 958?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, 4\/5, 8, -5 in ascending order.\nAnswer: -5, -0.13, 4\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 16, 23, 32, 43, 56, 71?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:09 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a - 1 + 2*a - 5*a. Let i be o(-1). Let s = i + 5. Solve -u + s = -1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*z**3\/13 - 3298408*z**2\/13 + 194277644800*z\/13 - 111014720000\/13 = 0. What is z?\nAnswer: 4\/7, 117800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 1. Let c(d) be the third derivative of d**4\/24 - d**3\/6 - 38*d**2. Give 6*c(f) - g(f).\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)\/k*k*k\/(k*k**(1\/5))*((k**(7\/3)\/k)\/k*k)\/(k\/k**(2\/57)))**(-34) assuming k is positive.\nAnswer: k**(5916\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**2 + 14*r**2 + 37*r**2 - 133*r**2 + 29*r**2.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5211 + -5210. Let q(x) = x**2 - x + 1. Let m(p) = -9*p**2 + 5*p - 6. Determine b*m(l) + 6*q(l).\nAnswer: -3*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -0.02 (c) 46 (d) 5 (e) -1 (f) -177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49427\/6 - -8218. What is the common denominator of g and 2\/(-12)*(-264)\/(-27)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 14 in descending order.\nAnswer: 14, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (345*m + 62*m - 7*m + 164*m + 356*m)*(4*m**2 - 3*m + 3*m).\nAnswer: 3680*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2968802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703358884 to the nearest integer?\nAnswer: 26521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*70\/(-35)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -20.2. What is the second biggest value in c, -3\/8, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g**2 + 1. Let y be c(1). Let u = 17 + -23. Let h be u\/(-16)*4*y. What is the greatest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 5. Let r be v(8). Calculate the common denominator of 45\/2 and (-15)\/r*8\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 41 + 3)*(0 + 0 + 2*z) to n + j*z and give j.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2778*t + 19780. Give y(7).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 911232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78313\/7 or 11188?\nAnswer: 78313\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/18 - 23\/6. Let d = -1272 - -3761\/3. Calculate the common denominator of j and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32978?\nAnswer: 2, 11, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 4. Let k be t(0). Suppose -4*r = -2*r - k*b - 2338, -5*r + 5821 = -4*b. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-22) + 9\/11. Is 18 a factor of y\/(-4) - 269\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 4352*c. Let y(d) = d + 17. Give w(y(r)).\nAnswer: -2*r**2 - 4420*r - 74562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/37, 30, 0.235?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/7 - 30659*z\/7 + 30658\/7.\nAnswer: (z - 30658)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 29736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 5*d. Suppose -3*o = -2*z - 1 - 5, -4*o - 3*z + 25 = 0. Let v(p) = -4*p + 4*p - 4*p + 2*p**2. Determine o*v(x) - 3*q(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441115 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8625 and -26\/477?\nAnswer: 1371375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 36\/4)\/(-4). Which is bigger: b or 7\/316?\nAnswer: 7\/316","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -451, -24, 580 in increasing order.\nAnswer: -451, -24, 580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1121*f**2 + 338543*f - 216. Calculate r(302).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(-5*x**3 + 0*x**3 + 4*x**3) + (-2*x + 2*x - 12*x**3)*(2 + 2 + 1)*(-2 - 7 + 0) to the form n*x + t*x**2 + s + c*x**3 and give c.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(0 + sqrt(7)) + -3 + sqrt(448)*-3 + -2).\nAnswer: -104*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 306 = 4*i, 4*q + 3*i + 31 = 687. Let b be (3\/(-27)*(10 + -7))\/1*-21. Calculate the highest common divisor of b and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.02887 - -0.02887. Which is the third smallest value? (a) 22.5 (b) 3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2027 + 2149. Let i(f) = 19*f + 4. Let c be i(-5). Let a = y + c. Solve -5*r - a + 6 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**3 + 9*m**3 - 17*m**3 + 13*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i + 20 = -5*f, -2*f - i = 13. Let h(g) = -2*g**3 - 16*g**2 + 7*g - 13. What is the units digit of h(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 7*p**2 + 11*p - 13. Let t = 17 + -17. Suppose t = 2*g + 10, 0 = 2*c + 2*c + 4*g + 56. What are the prime factors of a(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*a + 95960496 = 102*a - 87425370. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/21 - -29\/42. Let i = 10 + 5. Let d be (-22)\/i - 6\/30. Sort d, 0, v in increasing order.\nAnswer: d, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 4*d + 4. Let b be t(6). Let a be 22 - 0 - (-5 - -3). Calculate the greatest common factor of a and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2 and 299\/532 - 42\/147.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 0*m + 3\/5*m**5 + 33 - 6*m**4 - 11*m**3 + 27*m**2. Factor r(g).\nAnswer: 3*g*(g - 9)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 14*b**2 + 10*b - 15. Let w be m(-13). Suppose v + w = 94. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798698.2 millennia to decades.\nAnswer: 79869820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -519600*i + 66 - 7*i**3 + 46 + 519600*i in the form d*i + k*i**2 + t*i**3 + h and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1685*j**5 - 18*j**2*p + 24509*j*p + j wrt j?\nAnswer: 33700*j**3 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313.2 * 2.\nAnswer: 626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32294 - 16641. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/13, 3, 4 in ascending order.\nAnswer: -2\/5, 2\/13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.254818 to 3 dps.\nAnswer: 1.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/35 and 25091\/43260 + 412\/(-721)?\nAnswer: 43260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 + 189. What is the units digit of y - -1*(2 - 5 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269647 is divided by 39673?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 162, 486, 972, 1620, 2430?\nAnswer: 3402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 990591951*b**5 - 730237503*b**2 wrt b?\nAnswer: 59435517060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (82596 + 5)*(-11 - -15 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1155, -2309, -3463?\n\"Answer: -1154*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - -1) - -31 - (-1 + (-44 - -36))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1644\/(-71514) + (-20)\/(-29) + (-348)\/9\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1584080, 3168098, 4752116, 6336134?\nAnswer: 7920152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*i**3 - 18*i**3 - 373*i**2 - 6313*i**6 + 6705*i**6 wrt i?\nAnswer: 47040*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/4))**(-1\/19)\/(g**(-5)\/(g*g**(2\/3)\/g*g)))**(-3\/14) assuming g is positive.\nAnswer: g**(-215\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 3. Let n be k(2). Suppose -4*i + 33 = n*q, 0*i - q = 5*i - 55. What is the units digit of (-18)\/i*16\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*h + 4*u + 7, 5*h = 4*u + 21. Let x = h + 1. Suppose -d + x*d = 12. What is the least common multiple of 4 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(76\/(-16) + 5). Suppose 0 = 3*m - 6*s + s, 3*m = 4*s. Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2772 + 2763 + 68*p + 52*p - 5542 - 24*p - 11*p.\nAnswer: 85*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7999117339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110*i**3 - 2*i - 347?\nAnswer: -330*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 1, q: 1, k: 1, m: 2, u: 1}. What is prob of sequence ume?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 8*q + 13. Let o be y(12). Let d = o + 66. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8432928 and 3738?\nAnswer: 8432928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**4\/8 - 6*i**2. Let g(r) = -r. Let c(u) = 10*g(u) - 4*w(u). Let q(j) = 2*j**2. Give c(q(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 16*w**2 + 4*w - 125. Is o(-13) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1935595875 to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*-1*-6).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*q = 25, -2*q + 10 = r + 2. Let p be 94\/18 + (-2)\/9. Put r, 0, p in descending order.\nAnswer: p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.031 and -3.\nAnswer: -8.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1410323112 (base 5) in base 16?\nAnswer: -37012e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -406*a. Let b(d) = -3*d + 7. Let v(s) = 22*s - 49. Let g(q) = 28*b(q) + 4*v(q). Calculate c(g(n)).\nAnswer: -1624*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*f + 23659 - 23659 in the form d + u*f and give u.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02036058 to four dps.\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 3425 - 4*d + 3425 - 11*d**2.\nAnswer: -11*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-14) + 25\/(-175). Calculate the common denominator of 2272\/128 + 1\/o*4 and -99\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 35935 = 17000. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 119 - 12)*(t - t + 2*t**3).\nAnswer: -320*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -48. Suppose 10*d = b*d + 9. What is the third derivative of -y**2 + y**2 + 10*y**2 + d*y**4 + 15*y**4 wrt y?\nAnswer: 432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*2\/(-10) + (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 248709787 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774100096?\nAnswer: 2, 3, 29, 89, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 + 689\/10. Let k be ((-2)\/(-6))\/((-1)\/(-15) - 0). Suppose 0*h + 5 = -k*h - w, h = -4*w - 1. Is h at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from jdbbdjjbddbddd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -617, -970?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47937484009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6934, 3, -1 in decreasing order.\nAnswer: 6934, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197 + -196.54. Let c = v - -0.74. What is the smallest value in -5, c, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 36*b + 6. Suppose -f - 16*f + 612 = 0. Calculate the remainder when 124 is divided by l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 23*x**2 - 77*x - 14. Let f be a(18). Suppose v - f + 6 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 4, 0.1, 9.44 in descending order.\nAnswer: 9.44, 4, 0.1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-62)\/(-4) - 1)*2. Let r(z) = 33 - 62 - 195*z**2 + v. Let q(g) = 2*g**2. Give r(q(c)).\nAnswer: -780*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 15. Suppose 0*m = -b*m + 255. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43814*o - 43943*o - 6837 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9 - -1.1. Let j be (3288\/64)\/(570\/(-4)). Let z = -3\/76 + j. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - -282. Let m = x - 327. Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -447 + 472. Suppose -4*n = -0*n + 3*t - 43, 3*n - 5*t = s. Solve -6*o - n = 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/6 (b) -0.1342 (c) -2\/15 (d) 0.5 (e) -223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -184*n + 179*n - 25, o = -4*n - 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 609882\/(-25389) + 6\/279.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.257 plus -441845201382?\nAnswer: -441845201382.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932430134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -17, -26, -33, -38, -41, -42?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:37 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-6) + (-6)\/(-18). What is the second derivative of -3*x - 2*x**o + x**4 + 2*x wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379 - -212. Let n be 10\/(-55) + t\/(-11). Let a be (-5)\/2*(-54)\/n. What is the highest common factor of 72 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*h**5 + 9*a*h**2 - 6*a*h + 3*a + 2 wrt h.\nAnswer: -20*a*h**3 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*u + 50 = 5*r, r = 2*u + 17. Suppose -5*x + 27 = 3*c + 6, -5*x + 2*c = -r. Suppose -q + 19 = n + 4*n, x*n + q = 13. Solve 0 = -n*z - z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73136.\nAnswer: 2, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 - 5*a + 3. Suppose 0 = -3*x + 18 - 3. Suppose w - 2 = -5, -x*w = -2*k + 27. Determine v(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1105, 1108, 1099, 1072, 1021, 940?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -435.0497 + 435. Round v to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 15, x: 5}. What is prob of picking 3 d?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 25 = -5*w, 5*o + 25 = 123140*w - 123145*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 3:09 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - -12*157619\/49749?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2\/3 + 161776*h\/3 + 161780\/3 = 0 for h.\nAnswer: -1, 40445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 780631776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.52 minus 545.748?\nAnswer: -429.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 15, -31, 0.3, 0.1, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117119609*b**3 + 117119644*b**3 - 22*b**2 + 22*b**2.\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 36 = -7*u. Let h = u + -6. Suppose 1 = -2*s + 11. Calculate the remainder when s is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + 10*a**2 + 7*a - 16. Let w(c) = -c**3 - 5*c**2 - 4*c + 7. Let p(g) = 5*w(g) + 2*y(g). Determine p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 8:34 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 11771034.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 3. Let z(n) = -n + 2*n + 3*n**2 - 2 - 2. Let i(y) = -5*j(y) - 4*z(y). Give i(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.932729 + -71.0672633. Let n = z + 74. What is n rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhffhfhhh. Give prob of sequence fhhf.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*n - 0*n, -2*h = -4*n - 670. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/12 + h**3\/2 - h**2 + 17*h. Give v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -354, -27, 0 in decreasing order.\nAnswer: 0, -1, -27, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 8*h + 5. Let a be z(11). Suppose -5*g - 1575 = -1630. Calculate the remainder when g is divided by a\/(-8) - (-1)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - w - 3. Let u(z) = 2*z**2 + 4*z - 2. Let c be u(-5). Suppose 4*j + 0 = c. Let y(f) = -5 - 4*f**2 + 9*f**2 - 5*f + 3*f. Give j*t(o) - 4*y(o).\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34.9 times 0.1196\nAnswer: -4.17404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 371 - 527. Let t = q + 154. Let s = -12 - -7. Sort s, -0.1, 3, t in decreasing order.\nAnswer: 3, -0.1, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64970597 to the nearest integer?\nAnswer: 8060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 2\/21 (c) -66 (d) 49 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/3 - 5*o**2 + 182. Suppose -2*f = 4*s - 14, 2*f + 5*s - 10 = 3. Determine a(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(208)*6)**2 + 3.\nAnswer: 7487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5440.911 nanograms?\nAnswer: 0.000005440911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 915 - 914. Let w be ((-2)\/3)\/(1\/6). Put i, 0, w, 4 in descending order.\nAnswer: 4, i, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, -22, -82, -196, -382, -658, -1042?\n\"Answer: -3*r**3 - 3*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - k**2 + 3*k + 3. What is v(4)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 194 = 50*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -835, -1656, -2479, -3304, -4131?\nAnswer: -4960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 232 - 231 = q, 2*q - 14 = -2*b. Does 13.13 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 - 4*w**2 - 13*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2 - 4. Let u(j) = j**2 - 1. Suppose -4*x = -5*x. Suppose -4*l - 11 = 3*f, -2*f + x*f + 11 = -l. Determine l*u(c) + v(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/156 and -22\/1477.\nAnswer: 230412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/6*(3 - (-7)\/(-3)). Put 0, -17, g in decreasing order.\nAnswer: 0, g, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1548 divided by 6\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-10) - (-135)\/25)*6. Calculate the greatest common divisor of b and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, h: 5, d: 4}. Give prob of picking 3 x.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.9 + -8. Let h = -0.3 - i. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(-6)*2 + 4. Let f(d) = 2*d**2 - 6*d + 1. Let c(g) = 5*g**2 - 17*g + 3. Determine b*c(h) + 8*f(h).\nAnswer: h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -819.\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + z**2 + 0*z**2 + 6 - z**4 + z**2 to the form x*z + l*z**4 + v*z**3 + o*z**2 + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.049 (b) -3\/4 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 661666 - 661669. Let j = -4 + 21\/4. Let a = 43\/187 - 7\/17. Put a, q, j, -0.2 in decreasing order.\nAnswer: j, a, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21964 and 2237149.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14895 - 14898. Is u less than 67.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 2*g**2 - 26*g + 297. What is the remainder when s(12) is divided by 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13792 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -184\/3*z**2 + 0 - 62*z + 2\/3*z**3.\nAnswer: 2*z*(z - 93)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 + d + 4. Let s be 1*5\/(-4)*4. Let c be v(s). List the prime factors of 0 + c + (-20)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-4*sqrt(65) - sqrt(65))\/((1*sqrt(50))\/sqrt(10)))**2 + -5.\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229 + 236. What are the prime factors of 164*(8 - k) + -5?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2789550*j + 77506978 wrt j?\nAnswer: 2789550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*w - 16192, 3*c - 5*w = -0*w - 9700. Let p = c + 15255. Suppose -f = 5 - 0, -3*f - p = -k. What is k rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 30*v + 65 = 0. Calculate the remainder when 31 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 63 = -s, 0 = -3*p + 4*s - 2*s + 43. Suppose p*v = 8*v - 20. Let w(h) = h + 8. Give w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 + 1932*r**2 + 226380*r - 1680700 = 0. Calculate r.\nAnswer: -245, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2995 divide 1145114290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 8:07 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -0.5, -2\/15299 in descending order.\nAnswer: -2\/15299, -0.5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0 - 10, 3*l = 4*c - 9. What are the prime factors of (48\/(c + -3))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.23435l?\nAnswer: 7234.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1\/3, -2725, 0.4, 2\/7, -1\/426?\nAnswer: -1\/426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from iioi.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2180\/7 - -312. Let u be 2\/20*2*-2. What is the biggest value in g, 1\/6, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 - 2409 - 2730 = -354*k. Let p be 145 + 2 - (-1 - -1). Calculate the highest common factor of k and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4673 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - -17. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7180*a**6*h + 115*a**4*h - 467*a**2 - 311*a*h wrt a?\nAnswer: -861600*a**3*h + 2760*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - ((6 - 36) + 63)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 1.9. Let h be ((-1)\/(-8))\/(-1 - (-10)\/8). Sort u, 0.3, h in descending order.\nAnswer: h, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258290 is divided by 569?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/z**(2\/13)))))**(-1\/21)\/(z**22\/(z*z\/(z**8\/z*z)*z)) assuming z is positive.\nAnswer: z**(-7373\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13833 - 2?\nAnswer: -13835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 (base 11) in base 4?\nAnswer: 111321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 552 + -450. Calculate the least common multiple of u and 30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28327 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006786 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u**4 - u**2 + 5*u**4 + 208 - 7*u + 2*u**3 + 7*u + 7*u**4 to f*u**3 + v*u + j + y*u**4 + p*u**2 and give j.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (900\/2160)\/((-455)\/56)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 5*k**2 - 2*k - 5. Let y = 3 - 8. Let m be a(y). Solve 5*v + 19 + 9 = 4*j, -2*j - 16 = m*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118637 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -879*l*s + 68630*l*y**2 + 32*s**2*y**2 + 2*s*y**2 with respect to s.\nAnswer: -879*l + 64*s*y**2 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -26*n - 149. Give b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*2 + sqrt(136))*-3 - sqrt(136) - -2*sqrt(136)*2)\/(1*(sqrt(8) - sqrt(8)*-1)*-4).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 808200 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 102 = 111 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -4, -1\/4.\nAnswer: -4, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 30*b - 476. Let f be j(-10). Let q be 1 + -2*1 + 1. Solve -o - 14 = -q*o + 3*g, 3*o + 3*g + f = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/(d*(d\/d**1)\/d*d*d*d))**(-3\/7)\/(d*d**(-5\/6)*d\/(d\/d**(-1))*(d\/(d\/(d**(1\/8)\/d)))\/d**(1\/5)) assuming d is positive.\nAnswer: d**(589\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(0*g**2 + g**2 + g**2) + (3 + 0 - 2 - 2*g)*(3*g + g - 3*g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, d: 1, o: 1, w: 5, m: 1}. What is prob of picking 1 w and 1 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 556495 and 1326?\nAnswer: 43406610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brr when three letters picked without replacement from orroroobrbbo?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 16*z**2 - 5*z - 5. Let b(c) = -15*c**2 + 4*c + 4. Let g(h) = 5*b(h) + 4*r(h). Let q(p) = 2*p**2. Determine q(g(n)).\nAnswer: 242*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 163\/2. Suppose 4*b + 4*s = -8, -s = -5*b + 2*s + 14. Let x be 1 - b\/(-9)*-15. Is x greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-25))\/(18\/(-60)))\/(-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (-1 + -1 + sqrt(17)) - 6*(sqrt(17) + 0).\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3107.\nAnswer: 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -708 + -33. Let d = 770 + t. What is the remainder when 80 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/211 (b) -0.1 (c) -1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/4 - 5*p**3\/3 + 2*p**2 - 3*p + 371. Let w be -2 + 2 + -2 + 6. What is t(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:34 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4218906529?\nAnswer: 31, 136093759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 17\/255*-24)*2\/3. Factor -z*a**2 + 8\/5 + 0*a.\nAnswer: -2*(a - 2)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 - 87. Let j = k + -84. Suppose -u - 5*h = -6 - 1, -2 = -3*u + 4*h. Solve 2*l = -2*l - 3*q - 27, u*l + 3*q + 21 = j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 10*s**2 + 2*s + 15. Determine u(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/6919 and -43\/3366.\nAnswer: 124542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174362 = -3*a - 4*i, -116245 = -2*a + 4*i - 3*i. Let j be 2\/(-17) - a\/153. What is the common denominator of -29\/20 and (-6)\/(-5*16\/j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -0.05 (b) -2 (c) -2.4 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10047955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1 - 0) + (28 + -16 - -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 935*a - 929*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11896*y + 1037. What is the hundreds digit of j(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6*n + 10*n = 4, 0 = 5*h + 3*n - 27. Let r = -56.9 - -56.6. Which is the smallest value? (a) 59 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/17)\/v**(7\/4) assuming v is positive.\nAnswer: v**(-111\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14260*i - 786*i + 1658*i.\nAnswer: 15132*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39240 or -4747978\/121?\nAnswer: -4747978\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.96 + 2. Let f = l - 0.24. What is the biggest value in -1\/3, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - 0)\/(((-1125)\/(-30))\/5). Factor -1\/6*r**3 - 10\/3*r + 8\/3 + h*r**2.\nAnswer: -(r - 4)*(r - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 21. Let g be 12\/15*c*15. Let r = 93\/4 + g. Put 0, r, 2\/11 in ascending order.\nAnswer: r, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 1)**2 - (sqrt(133) - sqrt(133)*-3)\/sqrt(7).\nAnswer: 12*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -637 by 7.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 u when four letters picked without replacement from joutjtjuntt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17)**34*(l**14)**(14\/3) assuming l is positive.\nAnswer: l**(1930\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (5 - 2) - ((-6 - 8) + 10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 2*c + 3. Let o(x) = -x + x + 1 + x**2 + x. Determine -2*o(u) + z(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178366 - -535097\/3. Let q = -33 - 77. Let w = q + 548\/5. Sort 0.5, i, w.\nAnswer: w, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/6 - ((-20)\/6 + 4). Is (-4 - -213)\/(m - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*x + 18 - 8, 0 = 3*m + 2*x - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxkv when four letters picked without replacement from {x: 4, k: 7, n: 4, t: 4, v: 1}?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 579530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 5 - 2 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3701388, -7402518, -11103638, -14804742, -18505824, -22206878?\n\"Answer: p**3 - p**2 - 3701134*p - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 - -173. Let f(i) = -24*i - 17 + 26*i + c - 17. What is f(13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = -y + 4, -5*y + 13 = -4*i. Let z = 151 + -146. What is the first derivative of x - y - 2 + z wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = 48*d - 45*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -26*l**3 + 6*l**2 - 4*l + 1. What is the hundreds digit of b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13830681*g**4 - 3*g**3 + 5347*g**2 - 10*g - 568?\nAnswer: 331936344*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**3 - 91*p**2 + 569*p + 4. What is the remainder when c(6) is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 31*b**2 - 419. Let r(g) = 7*g. Give z(r(x)).\nAnswer: 434*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4)\/(9\/(-276)). Suppose -m = -w - w. Let s = 41 - 29. Calculate the remainder when w is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -956, -3849, -6740, -9629, -12516, -15401?\n\"Answer: y**2 - 2896*y + 1939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343890 is divided by 149304?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 0 = 5*v - 19, 4*z + 31 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-2)\/sqrt(4)*4.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129503, 129496, 129493, 129494, 129499?\nAnswer: 129508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (2 - (1 + 0)). Let p be (-6)\/(-5)*40\/12. Let a = 5 - p. Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/215 (b) -1 (c) -0.8 (d) 0.127 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78, -157, -236?\n\"Answer: -79*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2128129254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -210?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {l: 9, z: 4, p: 2, a: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 divided by -14?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k + 30*k = 22*k. Suppose k*t - 70 = -14*t. Solve -t*j + 3 - 6 = c, -c = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*j - 13 = -17, 4*f + 5*j = 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + g**2 - 5*g**2 - 40*g**2 + 7*g**2 + 63*g**2 + (-3*g**2 - g**2 + 6*g**2)*(-6 + 2 + 2).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffjfzfaojaqo. Give prob of picking 1 j and 2 o.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 120363, 239118, 357873, 476628, 595383, 714138?\n\"Answer: 118755*w + 1608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1 (c) -2\/25 (d) 0.08 (e) 1\/6 (f) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 = 5*d, -4*d = -2*v + 5 + 1. Let y(g) = 1. Let x(k) = k**2 + 5. Calculate d*x(m) - 5*y(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 48.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 41*j**3\/6 + 5*j**2 - 1226*j. Let m(b) = -2*b**2. Give m(t(z)).\nAnswer: -3362*z**2 - 1640*z - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 501 - -34?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*o = -0*j - 10, -2*o = -5*j + 10. Solve 0 = 2*k - 5*w, j = -4*k + 2*w - 7*w - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 516\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 38*b**2 + 182*b - 315. Let j be r(-32). Sort j, 78, 1, 3\/8, -0.4 in increasing order.\nAnswer: -0.4, 3\/8, 1, j, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 241 - 241 + 2*h. Let u(f) = -190*f. Give u(a(d)).\nAnswer: -380*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1294173 and 918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 637 - 215. Let v(a) = a**2 + 3*a - 6. Let p be v(-5). Suppose -r = -p*s - 98. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s + 2*x - 11 = 0, 0 = -2*s + 5*x - 13. Let v(o) = 2*o**2 - 2 + 1 - s - 4*o**2 - 2*o. Let j = -638 - -636. Give v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 119, -17.6, -2, 280?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/((-8)\/30). Let k = z - 1. Factor 1\/2*o**3 - 1\/2*o**2 + 1\/2 - k*o.\nAnswer: (o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1. Let r(z) = 6 - z + 4 + 1 - 7 + 1. Let p = 1 - 2. Let w(y) = p*r(y) - 5*a(y). Let b(c) = -12*c. Calculate b(w(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 - 13544*p\/7 + 1212192\/7.\nAnswer: 4*(p - 3294)*(p - 92)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 2. Let y = g + 0.3. Let o = 0 + y. Which is the nearest to 1? (a) 2\/15 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-4) + (-172)\/(-16). Let b(f) be the second derivative of f**4\/6 - 13*f**3\/6 - 4*f**2 + f. Is b(w) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.047 - -1.953. Which is greater: q or -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40053 (base 7) in base 2?\nAnswer: 10010110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-3)*21\/(-28)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + -1 + sqrt(176) + -2 + (sqrt(1331) + 1 + sqrt(11) - (sqrt(11) - 6*(sqrt(11) - (-1 + sqrt(11)))))*3)**2.\nAnswer: 1110*sqrt(11) + 15287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 35671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3268 times -150.99?\nAnswer: -493435.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 2, h: 1}. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.9, 213, 2.8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 30\/21 - 12\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((638\/132)\/(38\/(-57)))\/((-2)\/(-8))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-10))\/((-110)\/25). Let l be 18\/22 - (-10)\/(-20). Let w = l - d. What is the biggest value in -1\/2, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 12*u = -41*u + 30*u + 688 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s + 5. Let a be z(3). Let n be 2\/a - 0\/(-13). Factor 1\/4*l**3 - 1\/4*l**5 + 0*l + n*l**4 + 0 - 1\/4*l**2.\nAnswer: -l**2*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2 - 21590*f + 7090732 = 0?\nAnswer: -11114, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 5*q - 3*q)*(2*q - 2*q - 2*q) - 414*q**2 + 5*q + 419*q**2 + 8*q.\nAnswer: 7*q**2 + 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 5*r**4\/24 - r**2. Let v = 1 + 15. Let t(h) = v*h + 10*h - 43*h + 15*h. What is t(u(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 583661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 5\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20366931 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-2\/63)*k*k**22\/k*k*k\/(k\/(k*k*k**30))*(k*k*k\/k**(-1\/2))\/k assuming k is positive.\nAnswer: k**(7501\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44369170 is divided by 615.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 + 921*p - 921*p + 6*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 65*n - 214. What is the least common multiple of 3940 and o(3)?\nAnswer: 7880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 + (-4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b + 39*b - 39*b + 18*b**2.\nAnswer: 18*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o. Let f(y) = -y. Let x(s) = 3*c(s) + 10*f(s). Let n(d) be the third derivative of d**4\/2 - 2*d**2. Calculate x(n(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 914*o**6 + 3*o**2 - 145*o wrt o?\nAnswer: 109680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/2)\/(-10 + 5 + 7). Which is the second smallest value? (a) 0.1 (b) f (c) -0.4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 612 and 1564?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 55, -114, 1, -14, 4 in increasing order.\nAnswer: -114, -14, 1, 2, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62243*c**3 - 1548 - 62253*c**3 + 1548.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-550)\/(-64)) + (154\/(-121))\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)\/(u\/(u\/u**(-3\/2)*u))*(u**(4\/5)*u*u*u)\/(u\/u**(1\/7)) assuming u is positive.\nAnswer: u**(-179\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 5. Let v(q) = -3*q - 16. Let o(m) = -11*i(m) - 4*v(m). Let f be o(-9). Let g(p) = -p**2 + p + 16. Is 16 a factor of g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.035 times -1822?\nAnswer: 335311.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -5 + 0*b + 0*b**4 - 2*b**2 + 0*b**3 + 1\/3*b**6 + 0*b**5. Find the second derivative of w(y) wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*i + 294 = -440*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 5*r + 1. Let f be 6\/(-12)*(6 - -2). Determine v(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 254448\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 488 - -11?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -61. What are the prime factors of c\/2 + 4 + 348?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6721265 is divided by 115.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.991304046 rounded to four dps?\nAnswer: 38.9913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6 - 3*h + 3 + h - 2. Let v be f(-4). Solve 2 = -v*i + 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71507?\nAnswer: 23, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5388d + -398?\nAnswer: -53c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1466 and -1\/3962?\nAnswer: 2904146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 169. Let j = -22 - s. Suppose r - j = -r. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3315 = -8574*g + 8353*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-6)*m)\/m**(7\/2))**(-2\/57))**32 assuming m is positive.\nAnswer: m**(160\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 207018366 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71c19 (base 14) to base 10.\nAnswer: 274031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*a - z + 65, -4*a - 45 = -z. Let f be a\/(-2) + (-262 - 5). What are the prime factors of 64\/80 - f\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.204291ug in milligrams?\nAnswer: 0.002204291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 6)*(14 - 2*g**2 - 14)*(-2*g - 13 + 13).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -25. Let f(m) be the first derivative of -m**3\/3 - 9*m**2\/2 - 10*m - 6. Let y be f(-7). Solve c - 21 = -p*d - 1, 4*c = -y*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 789056 = 49*m - 788450. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 13*d = 16*d - 77, 6*j + d = 47 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 17*n**2 - 16*n - 21. What is z(16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.99951. Round h to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 38*p**2 - 35*p + 78. Let u be l(-37). Solve 4*t + u*d - 15 = t, 20 = 4*t - 5*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 0.5 (c) -0.1 (d) 2\/2035\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y - 0. Suppose -k = -5*q - 1, -5*k - 5*q - 24 = -q. Put y, k, 1 in increasing order.\nAnswer: k, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 1137*r**5\/10 - r**4\/12 + 11*r**3\/6 - r**2\/2 + 2014*r. What is the third derivative of i(y) wrt y?\nAnswer: 13644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*p**3 - 53*p**3 - 193*p**3.\nAnswer: -331*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.006 - 202.81.\nAnswer: -202.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 4*c**3\/3 - 2*c + 2. Let m be n(2). Solve m = -2*i + 3*v, 6*v = -i + 3*v + 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9960 divided by -20?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 19018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**4 - a. Let f(v) = 7*v**4 - v**3 - 12*v - 2. Let l(c) = -f(c) - 2*w(c). Find the second derivative of l(k) wrt k.\nAnswer: -108*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/2)\/(1\/(-2)). Suppose -5*l + 19 - 4 = 0, p*l = -4*f - 1. Suppose -i - 5 + 1 = 0. Is f < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8890 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-258 + -4)*(-5)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 + 5*m - 21 + 10.\nAnswer: 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132 (base 5) to base 10.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 613*m + 8 - 8 - 611*m. Let t(a) be the first derivative of 2\/3*a**3 + 0*a - 1 + 0*a**2. Calculate t(z(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43, -11, -121, -281, -485?\n\"Answer: h**3 - 34*h**2 + 41*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {h: 3, o: 1, b: 3, u: 1, f: 5, v: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f*m**5 + 4532*f*m**3 + 2*f*m + 268868*f wrt m.\nAnswer: -120*f*m**3 + 27192*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, -5 in increasing order.\nAnswer: -5, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34946, 34948, 34950, 34952?\n\"Answer: 2*b + 34944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 96*q + 0 + 0*q**3 + 133\/6*q**4 - 112*q**2. Differentiate w(j) with respect to j.\nAnswer: 532*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00154 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10834495 and -0.040953533.\nAnswer: 10834494.959046467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -15. Let v(b) = b**2 + 12*b + 33. Suppose -m = n - 2 + 14, 0 = -5*n - m - 68. What is the remainder when v(n) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**5\/120 + z**3\/3 - 2. Let j(t) be the third derivative of k(t). Let h(v) = -v**2 - 27*v + 27*v. Determine j(h(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -152279 (b) 0.9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1884046*s**2 - 91987*s + 33.\nAnswer: -(61*s + 3)*(30886*s - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26\/7 + 64\/21. Let r = -6.8 - -7. Let v = r - 0.4. What is the third smallest value in j, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3 + d**3 + d**2 + 2*d**3 + 3*d**2 wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, e: 3, a: 6, o: 3}. Give prob of sequence eeaa.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 2*r**2 + 2*r**2 + (1 - 1 - 2*r)*(4*r - 2*r - 4*r) - 99*r**2 - 125*r + 60*r + 65*r.\nAnswer: -93*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.081 times -0.4\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m - 18*m + 84*m**2 + 47*m.\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 542 + -541.9. What is the nearest to -34 in i, -2, -1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 95 = 5*s, 3*s - 4*u = -6*u + 53. Solve -5*f - 3*g = -7, 10*g = f + 5*g + s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 + -111101101100?\nAnswer: -111110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 + 150085*u - 12642420 = 0. Calculate u.\nAnswer: -30101, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(11) - sqrt(1584)*2.\nAnswer: -23*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -29*x + 34. Let s be k(-1). What is the greatest common divisor of s and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 359.18 to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyaybavybavvav. Give prob of sequence ba.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 236092 rounded to the nearest 1000?\nAnswer: 236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - q + 2*q + 11*q - 4*q + 43.\nAnswer: 2*q + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -5*i + 4*u, 5*u + 499 - 24 = 5*i. Let q be ((-10)\/3*-6)\/(14\/21). What is the greatest common divisor of i and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 174 = -31*c. Calculate the least common multiple of c and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116836 (base 9) in base 10?\nAnswer: 70665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 4)*4104\/(-608)*(-25)\/(-30)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-z**4 - 2*z**2 + 2*z**2) + 2 - 1 - 53*z**4 - 2*z**2 + 65*z**4.\nAnswer: 14*z**4 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -3234?\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdgbooddbxdodnddgo. What is prob of sequence ox?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 4. Suppose 2*r + 72 = f*p - r, 5*r = -2*p + 62. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472893 and 1483291.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-16)*t*t**(2\/81)*t assuming t is positive.\nAnswer: t**(-1132\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 853*o. Let j(p) = 4*p**2. What is j(n(w))?\nAnswer: 2910436*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156018 - 155157 = 21*s for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*(1210\/(-3861))\/11.\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.6556 millilitres in litres?\nAnswer: 0.0316556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1758 = 1759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143013430 - -1?\nAnswer: 143013431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*r - 1366*r + 703*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.37422 micrometers to kilometers.\nAnswer: 0.00000001537422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.248749 to three decimal places.\nAnswer: -2.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837961 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15001 (base 7) to base 16\nAnswer: -1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -7*x + 9*x - 13, 0 = x + 4*p - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -22*n + 139. Let s be w(7). Let c be (-2*(-3)\/24)\/(s\/2580). Are c and -38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -21*z - 1. Let i be r(-1). Suppose -a = -3*q + i, -q - a - a = -16. Calculate the smallest common multiple of 9 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/138*12\/(-42). Let m be (20\/220)\/(6\/66). Do m and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1813*s**2 + 4*s + 4. Let r(h) = -2471120*h**2 - 5451*h - 5451. Calculate 5451*m(j) + 4*r(j).\nAnswer: -1817*j**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.2028 + -0.0728. Let r = 1.13 - l. Let w = -68 - r. Which is smaller: w or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*u + 8, 0 = 3*i - 3*u + 5*u - 4. Let f = -33 - -58. Suppose -13 = -4*c - f. Sort i, c, 5.\nAnswer: c, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6663.98 millimeters to micrometers.\nAnswer: 6663980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -4. Let r be c\/6 + (-14)\/(-4). Solve 0 = 3*j - r*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 2. Let y(m) = 28667*m + 27. Determine y(q(l)).\nAnswer: -28667*l + 57361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 1926*q - 2464. Calculate m(0).\nAnswer: -2464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 101010100101100101010011010?\nAnswer: -101010100101100101010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-5)*(-1)\/(-10). What is the nearest to 1\/5 in v, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 20, 0*u - 5*u + 12 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 - 7 = 0. Let s(y) = y**2 + y + 2. Let g be s(u). Let p(o) = 2*o - 6. Calculate the remainder when p(g) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 41 + (-18 - (7 + -10)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2 - 2 + 3. Suppose r + 1 = 2. Let p(y) = -11*y + 8. Let o(w) = -7*w + 5. Let b(d) = -8*o(d) + 5*p(d). What is r*g(m) - 2*b(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 13*j**2 + 14*j + 14. Let t = 95 - 81. Calculate the smallest common multiple of 8 and z(t).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179688*a**2 + 73476*a**2 - 135707*a**2.\nAnswer: -241919*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**2*o**3 + 18234*m**2*o - 5*m*o**3 - 44*o**3 + 2*o**2 wrt o?\nAnswer: 12*m**2 - 30*m - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8399 and 3404.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*r = 4*d - 12, 4*r = d. Suppose 0 = d*m + 4*j - 560, 3*j = -3 + 12. What is the remainder when 71 is divided by ((-8)\/6)\/(m\/(-27) + 5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w**2 + 32*w - 15. Let s be x(5). Let m be 7\/3*(-2 - s) - 2. Let j = 0 + 1. Solve m*z + j = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6970 - -6973. Factor -3\/4*a**4 + 3\/2 + 3\/4*a**t + 9\/4*a**2 - 15\/4*a.\nAnswer: -3*(a - 1)**3*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111539, -111555, -111573, -111593, -111615, -111639, -111665?\nAnswer: -111693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -873*s - 13227*s + 7680*s as j + o*s and give o.\nAnswer: -6420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 + 9351*k\/5 + 4069986\/5.\nAnswer: 3*(k + 523)*(k + 2594)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, -54, -42 in descending order.\nAnswer: 13, -5, -42, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 2 - 204*s**2 + 53503*s**2 + 3 + 9701*s**2. Let k be w(1). What is k rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 327453872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-575)\/(-15))\/(-5) - -6) + 0.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvux when four letters picked without replacement from {u: 1, v: 1, g: 1, x: 1, a: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 - 19*r + 92. Let d be a(6). Let s = 230 - d. Solve 72*o - 68*o = s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 171\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175741222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -611 - -610.719. Let y = -0.281474 - v. What is y rounded to five decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 14.5. What is b rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20224002 a multiple of 2345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 317, 25, 4 in increasing order.\nAnswer: 4, 25, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (432\/(-45) - -6)\/((-2)\/55) is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 22580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3068 and 209768.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 13*n**3 - n**2 + 376*n wrt n.\nAnswer: -12*n**2 + 78*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - q)*(q + 6*q + q) + (2 - 2 - 1)*(0 + 0 - 4*q**2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 - 1) + 4 + (-8 + 0 - (383 - 396)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w**5 + 0*w)*(-18 + 80 + 3) + 0 + 0 - w**5.\nAnswer: -66*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 818181 and 1053?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 166*d + 4495339 - 4508619 for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 7)*(3 + 0 - 2)*(-5 - 3*i**4 + 5) + 0*i**4 + 0*i**4 + i**4.\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 1 + 2 - s + 5*s - 5*s - 2*s - s + 0*s + 3*s + (s - 1 + 1)*(2 + 2 - 2))*(30*s - 12*s + 19*s).\nAnswer: -74*s**2 + 37*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, 42, 45, 48, 51?\n\"Answer: 3*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -562996*n**2 - 3*n + 213533?\nAnswer: -1125992*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*12\/9*1. Solve -o + 5*o = -s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -164861 and -164863 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 5513067?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:43 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300094111.\nAnswer: 17, 127, 1528529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*p + 9 = 40, 2*p = -o + 7. Let m = 7 + o. Solve -m = -u - 3*h, -2*u = 3*h + 1 - 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 7. Let v be a(-4). Let t(j) = 4 + 13*j**2 + 25 - 10*j**3 - 12*j + 11*j**v + 0*j. Let p be t(-14). Sort p, -4, -1 in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4209426 rounded to 3 decimal places?\nAnswer: -2.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.45 rounded to the nearest integer?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -452\/5. Which is the nearest to -0.1? (a) -3\/4 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - g**2 - 1. Let y be 2*(-8)\/4 - 0. Let v(o) = -3*o**3 + 4*o**2 + 4. Calculate y*a(n) - v(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -17*n**4\/12 - 15*n**3\/2 - 12*n**2 - 4. What is the derivative of s(v) wrt v?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*a**2 + 1252904*a - 1253293*a + 23*a**2.\nAnswer: -46*a**2 - 389*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 5. List the prime factors of (510\/(-2))\/(-12 + f).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -2, 4, -19, 1 in ascending order.\nAnswer: -19, -2, 1, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -272 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*i - 6 + 290 = 0, -3*z + 203 = 2*i. Suppose 5*k - 4*g + z = -3*g, -4*g + 16 = 0. Is k at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -143.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 at least 1361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 258*q - 99490. Give a(-212).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c2 - -403?\nAnswer: ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 2*k + k)*(4*k**3 - 1 + 1) + (3 + 8*k**4 - 3)*(2 - 1 + 2)*(8 - 7 - 71)*(3 + 1 + 0) to y*k**3 + o*k + q*k**2 + p + l*k**4 and give l.\nAnswer: -6712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 8:59 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - -1.4. Let w = 162 - 165. Let n = 1 - 2. Which is the closest to n? (a) w (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51413411?\nAnswer: 7, 19, 571, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(sqrt(7) + -1 + sqrt(7))**2 + (1*sqrt(63) + sqrt(7))**2 + (sqrt(7) - sqrt(28)\/(sqrt(20)\/sqrt(5)) - (sqrt(21)\/(sqrt(9)\/sqrt(3)))**2).\nAnswer: -70 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4422519918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**5*z + 15*a**2*z**2 - 3*a*z + 15*z**2 wrt a?\nAnswer: -100*a**3*z + 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52326 and 38204136?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 151.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 + 7*v + 9. Let p be i(-6). Suppose 2*a + p*a = 2175. Suppose -6*k + a = -k. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 7.54722 (c) -5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 332 - 327, 2*u - w + 5 = 0. Put -15, -2, 4, u, -10 in decreasing order.\nAnswer: 4, -2, u, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.525788 rounded to two decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7 + h**2 + 0*h**2 - 6. Let u be i(1). Suppose 3*o + 30 = 4*q + 9, u*o = -4*q + 46. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-8)\/48)\/(-30)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 - 5*x**2\/2 - 11. Let c be s(-4). Suppose m = 4*f - 47, c*f + 5*m - 11 = 42. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.1, 0, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 5*m**2 - 43*m - 91. Give j(-10).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:59 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20635825 divided by -925\nAnswer: -22309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14563*d + 1310683. Determine n(90).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -349 - -939. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 - -44?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -99.952563 and 0.0927716?\nAnswer: 100.0453346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -143*u**2. Let w(i) = 5*i. Calculate w(z(s)).\nAnswer: -715*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*m + 118026, 5*m - 93844 - 142201 = 4*s. Round s to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 3 - 10*p**2 + 10*p**2 in the form x*p**3 + g*p**2 + t + z*p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7.3. Let h = -5 + 5.2. Let x = m - h. What is the nearest to -0.1 in -0.1, -0.4, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 + (-13 - 3))\/(-1) - 7 and 154?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 6 + 5)*(8*i - 8*i - 7*i) to the form x*i + o and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 88 = 4*f - 2, -11*i + 51 + 34 = -0*i + 3*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*d**2 - 1 + 227*d - 2*d**3 - 216*d to the form q*d**3 + z*d + c + s*d**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 401*o**2 - 3371*o - 866450. Calculate i(-398).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 6*r + 690 - 15*r**2 - 690 - 12*r.\nAnswer: 3*r*(r - 6)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3 = -5*z. Suppose 5*p + 0*s + 4*s = 179, 125 = z*p - 2*s. Let r = p + -19. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4415444 (base 8) in base 14?\nAnswer: -22c60c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/(-16)*104\/(-156)*4\/8*-2?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*n**4 + 6*n**4 + n**2 - 3*n**4 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83510856 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.346 and 0.138349871833?\nAnswer: 0.207650128167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*r = 2 + 3, 5*i - 29 = r. Suppose -q - i = -6*q - 3*s, 5*q - 5 = -4*s. Let f be 10\/(3600\/68) + (-1)\/(-5). Do q and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, -3\/17, 67, -0.1, 0.3 in increasing order.\nAnswer: -5, -0.4, -3\/17, -0.1, 0.3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 9*x = 2*u - 14, 4*u - 18 = 5*x. Suppose -4*w + d + 21 = 0, -13*w - 2*d + u = -10*w. Solve w = 3*m - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 2*c - 132. What is r(9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.95 - -3.7. Let s = j - 0.7. What is the nearest to -0.1 in -1, 2\/13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k. Suppose -8*p = 16*p - 96. Let l(c) = -7*c. Let d(i) = p*l(i) - 5*h(i). Let n(v) = -13*v. Determine d(n(u)).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - -21.8. Let s = -21.02 + b. Let t = s + 0.32. What is t rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*d - 169*d = -548 + 106 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 856045213 to the power of 1\/2, to the nearest integer?\nAnswer: 29258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2542 + -2519. Calculate the remainder when r is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -31. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 7*z**2 - 5*z - 6. Does 12 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 337444*f**2\/7 - 674894*f\/7 + 337448\/7.\nAnswer: 2*(f - 1)**2*(f + 168724)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 2:03 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 53?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 11. Let d be o(9). Suppose -w + 5*c - 207 = -3*w, 322 = 3*w - 4*c. Suppose 2*q = w - 6. What is the highest common divisor of d and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5500 (base 7) to base 9.\nAnswer: -2617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 - 21*p - 5. Let q(w) = 2*w**2 + 11*w + 2. Let v(f) = -6*l(f) - 10*q(f). Let d be v(9). Let a be 24\/9*(-12)\/d. Solve -a*c - 3 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 1519?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3 - 5. What is the least common multiple of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210901, -210898, -210895, -210892?\nAnswer: -210889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajaeajaaeaj. What is prob of picking 1 a, 2 e, and 1 j?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + 3*g - 2. Let p be w(2). Solve 4*s - 5*r = 16, s = 5*s - 4*r - p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -20. Solve 2 = a + 4*z - q, 3*z = a + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (476\/(-85))\/((-4)\/1910). Suppose 19*r - s = 2798. Does 48 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 50 = -r + 4*v, 0 = r - v + 28. Let m = r - -33. Let h = m + 16. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -1*(-1 - -3). Let w = i - 0. Solve -12 = 5*n - j - w, -4*j - 22 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 193485*f**2 + 193485*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 13 = -7*o + 1. Let v = 1.2 - 0.2. Let x = 1 - v. Sort o, x, -1\/4 in ascending order.\nAnswer: o, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, k: 3}. What is prob of sequence kaak?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 1:47 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*u = 4*a + 170*u - 45, -26*a = -27*a - 13*u - 85 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14777942, -14777952, -14777962, -14777972, -14777982?\nAnswer: -14777992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -229 - -159. Round z to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 1. Let y = 61 - 72.6. Let m = y + 12. Which is the second biggest value? (a) m (b) d (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399*u + 1462*u - 609 = -168 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708, 33, -664, -1395, -2172, -3007, -3912, -4899?\nAnswer: -5980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*v**2 - 511*v**3 - 52*v**2 + 109*v**2.\nAnswer: -511*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 655120 a multiple of 862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -8. Let y(k) = 4*k**3 - 8*k**2 + 4*k - 5. Let o(h) be the second derivative of h**5\/20 - h**4\/12 - h**2\/2 - h. Let j(a) = 5*o(a) - y(a). Give j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 18. Let a be (0 - -2)\/(-3 - g). Solve 0*m + a = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -3*f - 0*f, 4*h - 5*f = -37. Sort h, -1, 4.\nAnswer: h, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, -2, -33, -64?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 + 1079\/5. What is the closest to 2\/11 in 0.2, 3, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -1, -3 in ascending order.\nAnswer: -7, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 3) + (2 - (6 + 1)) - 0\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*f*n - 24004*b**3*f*o + 1182*b**3*o + 229*b**2*f*o + 2*b**2*n*o + 4*b**2*n + 191*b**2 - b*f*o - 2*b*o + 2*f*o wrt b.\nAnswer: -12*f*n - 144024*f*o + 7092*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3468, 3497, 3526, 3555?\nAnswer: 3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1746 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnn when three letters picked without replacement from nonomoommnom.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26166868 divided by -2?\nAnswer: -13083434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1698868 and -4?\nAnswer: 6795472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9417911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/126 (b) 1\/26 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4278828 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 43*z**2 + 15*z + 258. Is l(47) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-96) + -1 + (-845)\/(-180)\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(468)*-2 + 5 + 3)**2*-6*6.\nAnswer: -69156 + 6048*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:48 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/30 - z**4\/24 + z**3\/6 - 5*z**2. Let o be i(1). Solve o*a + 10 = -h - a, h - 4*a - 18 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 o, and 1 t when four letters picked without replacement from {d: 3, o: 1, m: 1, t: 3, v: 2, g: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 smaller than 530\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a + -2?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -288*h**2 + 2*h + 11. Let n(y) = -y**2 - 9. Calculate n(d) + q(d).\nAnswer: -289*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from mdagadadgfgddfd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 451008 and 756.\nAnswer: 3157056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let n(k) be the second derivative of -2*k**4\/3 - k. Let b(a) = 2*a**2 + 2*a + 1. Let s = -9 - -8. Let w be b(s). Determine w*n(l) + 6*y(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/892 and 59\/3184.\nAnswer: 710032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 2}. What is prob of picking 1 b and 2 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - ((2 - (3 + -5)) + -11)) + -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407*h - 756*h + 3*h**2 + 2*h**3 + 409*h - 35*h**4 - 1 + 39*h**4 to s + n*h**2 + y*h + c*h**3 + i*h**4 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1486620 and 150?\nAnswer: 7433100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nccczcocnccczc. Give prob of picking 3 c.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, f: 5, j: 1, y: 2}. What is prob of picking 1 y, 1 j, and 2 f?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266349537?\nAnswer: 541, 2340757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.2686ms in microseconds?\nAnswer: 117268.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -2. Suppose -w = 3*r - 23. Calculate the remainder when 17 is divided by (6\/r)\/((-16)\/(-120)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/9, 5\/43, 9632?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85147 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.88 + 0.12. Let f = 3.99999962 - m. Round f to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 5*18\/30. Suppose 0 = 7*q + d + 3. Which is the biggest value? (a) q (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6671445?\nAnswer: 3, 5, 11, 40433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106*a - 244?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -50. What is the greatest common divisor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 30*b**2 + 56*b - 19. Give z(-28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*p - 20 = 0, -1263*p + 1246*p = -3*d - 2*d + 36 + 49 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 20. Suppose -24 = 8*v - 4*v. Let i be f(v). What is the tens digit of i\/(-2) + -1 - -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k**(-9))**(-1\/42) assuming k is positive.\nAnswer: k**(-11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**4 - 3*x**2 + 27*x**2 + 2*x**3 + 0*x**3 + 5*x**4 + 5*x**4 - 2*x in the form v*x**3 + t*x + z*x**2 + i*x**4 + s and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j - 4. Let s be u(-3). Let w = s + 4. Find the first derivative of 0 + w - 4*x - 8*x wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -74\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + i)*(0 + 0 + i)*((-3 + 2 - 1)*(3260 - 3260 + 486*i) + 0*i + 3*i - i).\nAnswer: -1940*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-1 - (-4)\/(-2)). Suppose -4*c - 3 = j. List the prime factors of 22 - (-6 + 3)\/c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3 - (-25)\/(975\/(-52)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112392 (base 12) to base 14.\nAnswer: 719a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1325 and -4\/47755.\nAnswer: 12655075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4309 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31204661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tft when three letters picked without replacement from kuukuuuutuukkftuoff?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(68) + 3 - (-2*sqrt(272) - sqrt(272))*-5)**2.\nAnswer: -348*sqrt(17) + 57193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 20, 20 = -5*g - 0*z - 3*z. Let q be 1 + -49 + (0 - g). Let b = q + 53. What is the lowest common multiple of b and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -538093\/3 - -2690513\/15. Factor -2\/5*r**2 - p*r + 8.\nAnswer: -2*(r - 2)*(r + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -414, -1293, -2748, -4785, -7410, -10629?\n\"Answer: -o**3 - 282*o**2 - 26*o - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3455 - -14322?\nAnswer: 10423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = -3*w + 10, -2*x = -4*w + 30. Put 1, 9, x, 0 in descending order.\nAnswer: 9, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4773.\nAnswer: 2\/4773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3\/46, 104\/23, -3.3?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**3 + 114*c**2 + 48*c.\nAnswer: -3*c*(c - 8)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4446565621 to the power of 1\/3, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384934185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -21*o - 20. Let n be ((3\/(-1))\/(-1))\/((-3)\/(-2)). Let k(f) = -6*f + 1. Let r be k(n). Is x(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 0*w + 0*w + (-24 - 18 + 5)*(-1 + 0 - 1)*(w - 1 + 1).\nAnswer: 73*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 17*z - 287. Let d be v(17). Solve 5*t = -4*y + 5*y, -2*y - d*t = -12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 1\/((-3)\/6)) + 9. Solve 13 = w*b + 5*k + 8, 1 = 3*b + 2*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, 4, -1 in decreasing order.\nAnswer: 4, 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 6 - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:16 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 23 = 5*p - 0*p, -g = -2*p - 4. Let a be (-4)\/14 - g\/7. Solve 4*y - 5*y + 2 = a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.07, 10, 1.326, -1, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/23 + 106*l\/23 - 22576\/23.\nAnswer: 2*(l - 83)*(l + 136)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2)*66\/(-15). Find the common denominator of -7\/12 and (4004\/21)\/n + 2*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 411 + -170. Let x = -240.9999407 + y. Round x to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 times 0.1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3348*a**3 - 87 - 3347*a**3 - 103 as z*a + j + p*a**3 + q*a**2 and give j.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -283)\/(4\/2). Suppose i - 41 = 6*k. Calculate the remainder when 29 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4372709 weeks in hours?\nAnswer: 73.4615112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/5 + 4572*r**2\/5 = 0 for r.\nAnswer: -2286, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3970*g + 32. Let w(f) = 2*f. Calculate v(w(y)).\nAnswer: 7940*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 2, z: 1, g: 2, l: 1, r: 1}. Give prob of sequence rgg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1484 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from vvvxvxvvxv.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237236, 474471, 711706?\nAnswer: 948941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:09 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 0.01 (c) 2\/7 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 19. Let d(g) = -19*g + 40. Let z(p) = d(p) - 2*r(p). Let s(y) be the second derivative of y**4\/3 + 2*y. Give s(z(o)).\nAnswer: 1156*o**2 - 272*o + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 7242212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 632780539 and 1509.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 680 + -681. Let b(g) = 6*g + 4. Let r(c) = c. What is k*b(o) + 4*r(o)?\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 64?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -80. Suppose -j + 6*j = p. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 524 + 1493. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039862751.\nAnswer: 3, 346620917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4\/4 - f**3 + 9*f**2\/2 - 4*f + 9. Is g(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7368521 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4173 take away 5?\nAnswer: -4178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41459?\nAnswer: 11, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, -0.1, -98.51.\nAnswer: -231, -98.51, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 + 1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q - 11. Let p be a(4). Let y be ((-12)\/6 + 1)\/p. Are 3 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2092, -2013, -1838, -1519, -1008, -257?\n\"Answer: 8*w**3 + 23*w - 2123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 1 + 2*r**2 - 8*r**2 - 2*r**2 + r. Is 9 a factor of t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152 by 4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -15956\/3503 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2. Let n = 34 + -29. Let q(z) = -1 - 3 + 1 + n*z + 0. Determine f(q(a)).\nAnswer: 50*a**2 - 60*a + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3399)\/1133)\/(1*165)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2271\/5 + 450. What is the common denominator of 77\/2 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -119, -78, 1, 130, 321, 586, 937?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 204\/3*(-1)\/(-4). Let o = n + -3. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178.85 - -140.97. Let r = 325 - b. Round r to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s - 9*s - 129*s - 111*s to the form l*s + g and give l.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1845 and 3.\nAnswer: 5535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 6*l**2 - 17*l + 10. Let v be i(8). Let d(g) be the first derivative of -3\/2*g**v - 3 + g. Differentiate d(m) with respect to m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -1 + sqrt(1573) + 5.\nAnswer: 4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/27)\/(225\/150).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/3)\/((-26)\/2574).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 + 110?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 7:43 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -6.2\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*6*(-5*(sqrt(245) + (sqrt(245) - (1 + sqrt(245) + sqrt(245))) + 4 + sqrt(245)))**2*-2.\nAnswer: 12600*sqrt(5) + 76195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/6 of a day?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -2. Calculate the common denominator of ((-20)\/(-4))\/(-4*1) and (q\/(-18))\/(1\/(-25)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038603 to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + -1 + -2 + sqrt(68).\nAnswer: 6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - 0.2. Let m = 0.16 + 3.84. Let x = m + o. Which is smaller: 0.3 or x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10*2\/4)\/(-1). Suppose z = r - 1. Suppose -4*x = -r*x + 8. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31824350 from -95.21.\nAnswer: 31824254.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44558911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*g = 27, 3*d = -4*g + 2*g + 20. Let p = 14 - 12. Suppose 7 = 5*u + p. What is the least common multiple of d and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/156 and -49\/18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:09 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**7)*f)**15*(f**(-2\/5))**(2\/89) assuming f is positive.\nAnswer: f**(60071\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 2*r**2 - 2*r + 2. Let f be z(3). Suppose 1 + 11 = -3*m. Put 0, m, f in descending order.\nAnswer: f, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -54*t**4\/13 - 60*t**3\/13 + 88*t**2\/13 - 16*t\/13 = 0.\nAnswer: -2, 0, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 4555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2 + 7. Let k(b) = -6*b**2 + 17*b - 11. Let h(o) = -2*o**2 + 6*o - 4. Let v(r) = 17*h(r) - 6*k(r). Determine -2*f(x) - 7*v(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3\/3 + 5*d**2 + 9*d + 3. Let i be f(-9). Let c(k) = -k + 0*k + i*k - k. Let s(j) = 4*j. Give s(c(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4 - 10*t**3 + 6*t**2 + 90*t + 108 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:56 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 8*j**3 - 17*j**3 + 0 + 5*j**3 - 3*j as l*j + t*j**2 + w + m*j**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + 0 + (1700 - 1740).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5505542783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 22095?\nAnswer: 88380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 35910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -363, -379, -407, -453, -523, -623, -759?\n\"Answer: -u**3 - 9*u - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 13*b - 58. Suppose 55*k - b*k + 180 = 0. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.5 + -16. Let w = g - -0.2. Let x(q) = 3*q**2 - q + 1. Let l be x(1). Put l, -3\/2, w in descending order.\nAnswer: l, w, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2995 - 0.0995. What is the third smallest value in u, -3\/5, 2, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 + 6*x + 4. Let i be v(6). Let g be i\/(-3)*3\/(-2). Suppose -g*l = l - 45. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**5 + 1902*o**4 - 11604*o**3 - 53400*o**2 + 231264*o + 552960 = 0.\nAnswer: -640, -4, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 5:33 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 278*m - 992*m + 715*m.\nAnswer: m - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0 - 121\/120*r**6 + 0*r + 0*r**5 + 0*r**4 + 63*r**2 + 7*r**3 + 1\/105*r**7. Find the first derivative of v(y) wrt y.\nAnswer: 8*y**3 - 363*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16856590 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 2. Let i(k) = 3*k + 5. Give -3*i(b) + 7*w(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/21)\/((((-60)\/18)\/5)\/(6\/(-45)))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21330.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -28. Find the third derivative of -9*f**2 - 3*f**z - 4*f**3 + 4*f**3 - 6*f**3 wrt f.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 10. Determine f(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.055 and 0.2?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by 4.\nAnswer: 157\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 1:08 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 8}. What is prob of sequence qq?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by -16705\nAnswer: -159\/16705","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/20 - 6\/(-15). Let j = -258 - -263. Let v = -1.3 + 1.8. Which is the nearest to -1? (a) j (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 1 - 1 - 2*w + (-w - 3*w**2 + w)*(1 + 1 - 1) + 213*w**2 - 19*w**2 - 13*w**2 as l*w**2 + f*w + v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 8 - (3 - 1)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 3 + f**2 - 3*f + 2*f. List the prime factors of u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160758 = 627806*k - 629867*k for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1518 + 2006 = 3*b, -x = -3*b - 881. What are the prime factors of x?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1865472301334 - -0.18?\nAnswer: -1865472301333.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from rywyuruyrryyujyu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2972 = 22*n - 21*n + 2*r, -2*r + 5936 = 2*n. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1714, 3430, 5146, 6862, 8578, 10294?\n\"Answer: 1716*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10125 and 300?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6641 + 11073 = 22*n - 14378. What is the greatest common factor of n and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886655?\nAnswer: 5, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (101 - (-4 + 8))\/6 and -9\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12845 + -4171?\nAnswer: 8674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/(-81) + (-50)\/6. Let u(l) = -l**3 - 10*l**2 - 7*l + 21. Let b be u(d). Factor 10 + 12*t - 5*t**2 - 10*t**b - 2*t - 5.\nAnswer: -5*(t - 1)*(t + 1)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 148.682.\nAnswer: 131.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 547, 612, 645, 640, 591?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 4*n**2 - 5*n + 3. Let k = 12 + -7. Let a be x(k). Let b(i) = -1 - 2*i + a*i - i**2 + 4 - 3*i. Determine b(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -22 + 2*k**3 + 2*k + 13 - k**3 - 7*k**2. Let h be u(7). Find the third derivative of -v**2 + 2*v**5 + 6*v**h + 0*v**2 wrt v.\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -18. Let o(x) be the third derivative of -x**6\/120 - x**5\/30 + x**4\/8 + x**3\/2 + 41*x**2. Calculate o(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 73?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 4*z - 5. Let m be (4\/(-1))\/(10\/(-35)). Suppose 4*a = 2*o + 5*a + m, -2 = o - 2*a. Calculate t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1012 and 2077636.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-15))\/((-8)\/10). Factor -1\/6 - n*t**4 + 1\/3*t**2 + 0*t**3 + 0*t.\nAnswer: -(t - 1)**2*(t + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*sqrt(539) - (sqrt(539) - (((3*-4*sqrt(539))**2 - sqrt(539)) + sqrt(539))).\nAnswer: 49*sqrt(11) + 77616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27256 (base 9) to base 15\nAnswer: -56e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 12*a - 3. Let x(p) = -p. Let j(l) = -d(l) + 6*x(l). Let b be j(-6). Solve -3*i - y = 7, b*y + 3 = i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 318*z - 319*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 30*i - 1. Is f(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 1386*q + 11118. Calculate m(-8).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 1647.80097.\nAnswer: 1644.80097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/3))**37\/(((l**(-8)*l)\/l)\/(l*l*(l**(-18\/5)*l)\/l*l)) assuming l is positive.\nAnswer: l**(1036\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 3*q + 3*q - 4*q. Suppose -2*u + 9 = -3*s, -2*u - 1 = -5*s - 4. Let z be (-1)\/((-1)\/u) - (80 + -77). Let o(h) = 7*h + 4. Give z*j(b) - o(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -803, -1188, -1633, -2168, -2823?\n\"Answer: -5*z**3 - 350*z - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/43 - 35\/86. Which is the fourth smallest value? (a) l (b) 1 (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, 20, 33, 46, 59, 72?\n\"Answer: 13*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 6*c + 18 - 28)*((-3*c + 0*c + c)*(-5*c + 3*c + 0*c) + 6*c**2 + 33 - 33).\nAnswer: 60*c**3 + 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 7*z**4\/24 - 4*z**3 - 108*z**2. Let n be g(4). Solve 2*h - n*h + 5*v + 14 = 0, -4*h = 3*v + 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 219 - 194 + 120*q + 17*q + 75*q in the form v + h*q and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60518 + 124562 = 8*d + 4*o, d + 3*o - 23125 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5368, -7827, -43660, -113453, -228528, -400207, -639812, -958665?\nAnswer: -1368088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y + 1. Let g(z) = z**3 - 7*z**2 - z + 6. Let t be g(7). Let w be p(t). Is (-10)\/w*(-15 - -59) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -30*v + 49*v - 26*v. Let h(m) = -22*m. Let a(f) = 5*h(f) - 16*w(f). Let b(y) = 5*y**2 + y**2 - 2*y**2. Give a(b(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5103, 0, -2, -5, -40 in decreasing order.\nAnswer: 5103, 0, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 3*u**2 + 3*u - 6. List the prime factors of f(4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 231, 480, 761, 1074, 1419, 1796?\n\"Answer: 16*k**2 + 201*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8826.98 micrograms in nanograms?\nAnswer: 8826980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4, 2*u + 2*t - 30 = u. What is the highest common factor of 55 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 8. Let s be q(4). Suppose -30 = s*g - 9*g. Solve -2*m + g = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/84*24*45\/20. Let i(k) = -k**3 + 11*k**2 - 9*k + 21. Determine i(l).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 905*b**2 - 975 wrt b.\nAnswer: 1810*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946724637.\nAnswer: 3, 53, 193, 30851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**3 + 64*m**2 + 405*m - 4504. Determine y(9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 3. Let t = 23 + -18. Let v be a(t). Let h = 14 - v. Solve -h*r + r = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -144, -69, 108, 387, 768, 1251?\n\"Answer: 51*i**2 - 78*i - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 24*x**2 - 34*x. Let y(u) = -2*u. Let h(b) = 2*i(b) + 36*y(b). Factor h(z).\nAnswer: -4*z*(z + 5)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**6\/1800 + f**4\/30 + f**3\/2 + 12*f. Let i(l) be the second derivative of y(l). Factor i(m).\nAnswer: -(m - 2)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 4*s - 5*s)*(-66 - 105*s + 213*s - 106*s) as t*s + p*s**2 + o and give t.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 43, -3, 4, -2\/5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8ce394 - 11?\nAnswer: 8ce383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 192*r**2 + 68*r - 24116. Calculate w(-193).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 165*m + 160*m = 46, 0 = -5*j - 3*m + 16. What is w in -9\/2*w**j - 2*w**3 + 0*w + 27\/4 - 1\/4*w**4 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - j**4 - 2*j**4 + (-3*j**2 + j**2 + 3*j**2 + (0*j + 9*j**2 + 0*j)*(-2 - 1 - 10))*(-4*j**2 + 4*j**2 - j**2).\nAnswer: 114*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 3 + 12081\/(-585). Let a = -1\/65 + b. What is the common denominator of a and 21\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/15 + 2*z**4\/3 - 16*z**2\/3 - 32*z\/3 - 32\/5.\nAnswer: 2*(z - 3)*(z + 2)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 65*v - 38. Let c be n(-70). Calculate the greatest common factor of c and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43, 51, 75, 121, 195, 303, 451, 645?\n\"Answer: a**3 + 2*a**2 - 5*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29359 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u**3 + 2*u**2 + 50*u + 34. Let y be c(-7). Let j(t) = -t - 5. Let g be j(-8). List the prime factors of y\/(-18) + 50\/(-18) + g.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*i + 0*i = 12, -26 = -5*j - 3*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*(3 - 2) + 39\/(-13)*3. Factor -2\/5*l**4 + i*l - 4\/5*l**3 + 0*l**2 + 0.\nAnswer: -2*l**3*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.5. Let y = -111\/70 + 13\/10. Which is the third smallest value? (a) u (b) 3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-451)\/((-285032)\/42660)*(-2)\/3\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511227963 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 78663 (b) 7 (c) -3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*c - 0*c. Let p(v) = 2*v + 12. Let d be p(-5). Suppose -d + c = 5*g. Solve -g*m - 2*r - 11 = 9, -3*m - 5*r = 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2*0\/1. Let l be ((-2)\/1)\/(6\/(-9)). Let f = l - -1. Solve 3*x + b + i*b = 13, -f*x = b - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*w + 830, -w - 4*w = -5*c + 1060. Let p = -183 + c. What is the greatest common factor of p and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-449*v - 21658 + 21658)*(-2*v + 7*v - 4*v)*(-3 + 3 + v).\nAnswer: -449*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (-20)\/5 - -5) + -4. Suppose -3*c + 18 = 6. Let y be ((-2)\/(-19))\/(c - 2). Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, j: 3}. Give prob of picking 1 j and 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4742, 4646, 4546, 4442?\nAnswer: 4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 8955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 844841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 2:56 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*r - 201*r - 330 = -108*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 16*u**2 + 21*u - 14. Let z(q) = -3*q**2 - 4*q + 3. Let o(f) = -2*c(f) - 11*z(f). What is o(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2556*y**4 - 21*y + 16075714 wrt y?\nAnswer: -10224*y**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/120 + (-6)\/(-15). Let w(l) = 6*l + 97. Let q be w(-16). Do d and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4177\/6 + -696. Factor -1\/3*n**2 - r*n**3 + 0*n + 0.\nAnswer: -n**2*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 33 = -5*q - 16*k, -4*q + 2*k - 16 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 7 + 35)*(4*t**4 - 5*t**4 + 3*t**4)*(-2*t - t + 4*t).\nAnswer: 128*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17454 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 5. Suppose k = 3*v + 6*k + 1, 4*v - x = 3*k. Suppose -3*s = -f - 88, -s - v*f = -0*f - 16. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7983\/4 - 1997. Which is the third smallest value? (a) 603 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -326 (base 8) to base 15.\nAnswer: -e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55001115 divided by 846171.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7441?\nAnswer: -7436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 455 = 5*q, -4*w = -2*q - 9*w - 161. Is q > -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 2*r - 2*r + 22 + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.849931 months to decades.\nAnswer: 0.123749425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/16 and (187\/13872*-8)\/((-148)\/(-18)).\nAnswer: 10064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**2 + 0*n**5 + 0*n**2 + 6*n**5 wrt n.\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*623\/70 + 2\/10 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270608.8 less than -6?\nAnswer: 270602.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57256890 to the power of 1\/2, to the nearest integer?\nAnswer: 7567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38168 and 394355?\nAnswer: 1157826280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -4\/3, -79, -154, 2\/3, -6?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - l + 70. Let i(u) = -6*u - 2. Let z be i(-2). What is the greatest common factor of z and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)\/(s**(-5)\/s)*(s**4\/s*s)\/(s\/(s\/(s*s**1*s*s))))**(-45) assuming s is positive.\nAnswer: s**(-1125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 30*d**2 - 94*d + 65. Determine q(-33).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*x - 19, -4*t = 5*x + 23 + 6. Let u = -1 - t. Suppose 0 = -u*y - 2*y + 24. What is the least common multiple of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 2*n**2 - n**2 + (n + 5*n + n)*(-19*n + 11*n + 0*n) + 3*n**2 - 5*n**2 + 4*n**2.\nAnswer: -55*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11011352*w + 11011039*w = -24414 for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 165898915 times 2\nAnswer: 331797830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-6 - -1) + (1 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + p**2 - p + 2*p. Let k = 22 + -6. Calculate the lowest common multiple of o(-6) and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2, -71, -3 in descending order.\nAnswer: 5, 2, -2, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 882 = -2*w. List the prime factors of 4*w\/12*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 37. Let j = -33 - d. Solve j*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211 + -132. What is the greatest common divisor of 79 and j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 40. Let r = 1160 - k. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 + -179. Let m(v) = v. Let t(w) = -2*w - 2*w + 5*w. Let z(p) = o*m(p) + 2*t(p). Let a(x) = 3*x**2. Calculate z(a(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -11*n**3 - n**2 - 2*n - 1. Let f be j(-1). Let x(z) = 3*z - 26. Calculate the remainder when x(f) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -311676?\nAnswer: -311672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**3 + 84*v**2 + 400*v = 0?\nAnswer: -4, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**3 - 33*p**3 + 63*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 71382874.3 to the nearest one thousand.\nAnswer: 71383000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/4976 and -89\/503820.\nAnswer: 2015280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/378)\/(11\/154).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -52. What is the units digit of (0\/3 - 9)*(s - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4) + 2 + 1.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 + 140. Suppose -17*f = -14*f - b. What is the remainder when 28 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*h + 27616 = 0, -4483 = -3*g + 4*h + 16243. Suppose -79*w + 85*w = g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 137628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6\/11, -5, -78, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 - -108.545. Let f = k + -0.055. Let q = f + 0.8. What is q rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 2290*z + 4588.\nAnswer: -2*(z - 1147)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.97 and 17.\nAnswer: 15.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044652113 less than 1174404?\nAnswer: 1174404.0044652113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -339 - 7*q**2 - q**3 + q**2 - 6*q**2 + 193 - 16*q + 179. Give l(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 7*x**2 + 2*x + 44. Let r be g(8). Is r greater than 454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 26*m - 67. Let q be o(23). Factor -2\/11*a**q + 4\/11*a - 2\/11.\nAnswer: -2*(a - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454\/2295 - 1\/459. Let c = -2 - -2. What is the second biggest value in a, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.11 - 0.11. Let r = u + -1.1. Let q = 0.4 + -0.9. What is the nearest to r in -3, q, -4\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 5*g - 2*g**3 + 41*g**4 - 162*g**4 + 127*g**2 - 126*g**2 to o + u*g**2 + q*g**4 + v*g + k*g**3 and give q.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 68384932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*d + 6, -137*o + 4*d + 24 = -133*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.16, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 89208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:20 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/19 + (901369\/12369 - 73).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 10897 = 613. What are the prime factors of u?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*h + 4 = 97*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5320 + 105?\nAnswer: -5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 4. Let k be p(-10). Suppose k = 3*f - 108. Calculate the remainder when f is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 2 - 3*n + 4*n**2 + 2*n - 3*n**2. Let f = 14 + -11. What is y(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3)*(((-45)\/(-198))\/(-5))\/((-65)\/26).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 217. Let d = b + 465. What are the prime factors of d?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 85*p**2 + 927*p + 6. Calculate n(-72).\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17 - 1 - t**2 + 51*t**3 + 51*t**3 - 44*t**3 wrt t.\nAnswer: 174*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336 or 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {d: 5, f: 5}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = b - 5, g + 10 = -0*b + 3*b. Let r(n) = 12*n - 4. List the prime factors of r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = o + 2*n, -24211*n - 24251*n = 4*o - 48406*n + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 43*i**2\/4 + 277*i\/2 + 318.\nAnswer: -(i - 12)*(i + 2)*(i + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/7)*a))**(3\/11)*a**(-6\/5)\/a*a**(-1\/6) assuming a is positive.\nAnswer: a**(-5287\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c229 (base 13) to base 8.\nAnswer: 333444","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, a: 2}. Give prob of picking 3 z and 1 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 192, 278, 348, 396, 416?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let i(x) = x**3 - x**2 + 2*x. Let y(c) = -i(c) + 3*q(c). Suppose 8*t + 2*t = 4*t. What is y(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m + 49. Let r be a(21). Let z(o) = 4 + 267*o + 62*o + r*o - 19*o. Let k be z(-11). What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3738 and 1638.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = -p, 3*z + 16 = 8*z - 4*p. Suppose z = 8*q - 3*q - 15. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*p + 12 = 0, -26 = -5*h - 5*p + 4. What is the smallest common multiple of h and 19?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (1 - 1) - 5) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 11304192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:55 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1469 - 71*b**2 + 70*b**2 - 164 - 310.\nAnswer: -b**2 - 1943","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*r - 2248 = 9702 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/11)*n**(2\/3))\/((n*(n*n*n**(1\/5))\/n)\/n)**(-1) assuming n is positive.\nAnswer: n**(263\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 217482344 - 217482344 + 40286*l - 5*l + 0*l + 4*l + 1 - 1 + l + (1 - 2 + 3)*(2 - 2 - 2*l) as x + u*l and give u.\nAnswer: 40282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/5*-5 + 5. Suppose 5*q + a*p - 4 = 5*p, 4 = -2*p. Put -2, -1, q in increasing order.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 362900350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -4*(sqrt(108) + 2) - (3 + 2*sqrt(108))) + (-4 + sqrt(108) + -5)*-6)**2*-5 + 4.\nAnswer: -74581 + 28380*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d. Let n(f) = 9*f + 2*f - 2 + 2. Let c(x) = 3*n(x) - 5*q(x). Let o(p) be the third derivative of -p**5\/30 + 4*p**2. What is o(c(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 129\/252 - 3\/9. Let w be (3 - 8) + 3897\/756. Let h = s + w. Put -2\/7, h, 9, -3 in decreasing order.\nAnswer: 9, h, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b - 1. Let a(g) = -159*g**3 + 106*g + 106. What is -a(r) - 106*d(r)?\nAnswer: 53*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + (18 - (15 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/725)\/((-3 - -4)\/10)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (6 - -7 - 392660) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1639 divide 71204126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*j*n**2*q*u - 2*j*n**2 + 9*j*n*q*u**3 - 6*j*n*u - j*q*u**3 + 2*n**2*u**3 + 2*q*u**3 wrt n.\nAnswer: -126*j*q*u - 4*j + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 470481 or 470480?\nAnswer: 470481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1405735, -1405737, -1405741, -1405747, -1405755?\n\"Answer: -d**2 + d - 1405735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 26. Let j be (-1 - -7)\/(1 - -1). Solve t - 4*q = 0, -4*t = -q - j*q - r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + 3*(sqrt(209) - sqrt(209)*-3))\/sqrt(11))**2.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253340658 + 1253340658 - 2*p**3 + 0*p**3 - 14*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 - 78. What is the remainder when 11 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {o: 2, u: 2, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/169 in 3\/5, 0.4, -100, -2, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -17 + 15 + -91\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3959 - -3900) + (-2 - 0) + 1\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5 + 30. Suppose g - 4 = -q. Is 3\/7 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 18 = -2. Suppose h*n + 4 = 28. Suppose -3*l + 2 = -p - 6, l - p = 0. What is the remainder when n is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6785 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 829034880 and 22?\nAnswer: 9119383680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 - v - 3. Let b be p(-3). Let g = b - -23. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1*(132\/11)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r + 19. Let p(z) = 11*z + 9. Let x(l) = 3*f(l) - 7*p(l). Let j be x(-4). Calculate the greatest common divisor of 65 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x - 6. List the prime factors of o(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1125 * 0.07\nAnswer: 78.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5638774, -11277543, -16916308, -22555069, -28193826, -33832579, -39471328?\n\"Answer: 2*s**2 - 5638775*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {o: 13, h: 6}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:06 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1231, 2475, 3719, 4963, 6207?\nAnswer: 7451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 6*z - 4*z + 5 - z to the form x*z + g and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1573)*-5 - -1*(sqrt(637) + (sqrt(637) - 1*sqrt(637))))**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = 4*s + 8, -s - 7 = -a. Let v(w) = 8*w + 7*w**2 + 3*w**a - 4*w**3 - 14*w. Let m be v(5). Solve 0 = g + 3*g + m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1513409 and 1513414 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*x + 1, x + 4*p = -0*p + 3. Put 0, x, 11 in descending order.\nAnswer: 11, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41536 is divided by 1374.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 1. Let s(w) = 18*w**2 - 6*w + 6. Let l(r) = -6*k(r) - s(r). Let f(i) = 2*i**2. Calculate f(l(h)).\nAnswer: 648*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = -109*l + 106*l - 77, l - 5*g - 1 = -4*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyybyyyyyyyyyyyyyyy. What is prob of picking 3 y?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - s + 4. Suppose 4*o + 10 = 4*n + 5*o, -3*o - 18 = -4*n. Give l(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frgrzrfzcz. Give prob of sequence rrr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/3 - 56*q**2\/3 + 44*q.\nAnswer: 4*q*(q - 11)*(q - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 400?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.51363 rounded to one decimal place?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) - (-16173)\/45524.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6415781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*z - 237*z - 241*z + 710*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 9 = -3*r. Let x(p) = p. Let g(b) = -b. What is r*x(m) + g(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.31 in 2\/7, -3, 18, 4, -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 102522195 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15142220 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -49. Let c(x) = -2*x - 4. Let h(q) = -1. Let s(u) = -7. Let o(k) = -6*h(k) + s(k). Give p*o(z) + c(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/1 - -2 - -124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 9:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34926094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Suppose y = 2*x - 3*x + 5*j - 23, -2*x - 11 = -3*j. Suppose -x = -m - 1, 5*q + m - 41 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159072 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48507, -97281, -146001, -194661, -243255, -291777, -340221?\n\"Answer: l**3 + 21*l**2 - 48844*l + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (42 - (-40 - -26)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48\/11 - -299\/66. Let m = 1.937 - -0.063. What is the closest to m in -0.5, 2\/9, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 3, h: 2, o: 1, g: 5}. Give prob of picking 1 h and 2 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/1)\/(348\/(-232)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/18 and 113\/72822.\nAnswer: 218466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-21 - (-10 - 15))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + d - 1. Let m be b(1). Let i be 1\/(1*m\/15). Calculate the smallest common multiple of 18 and (0 - 4\/i)*-5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 121360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**6\/180 + 113*m**5\/120 - 373*m**4\/8 + 9295*m**3\/36 - 3025*m**2\/6 - 8*m + 75. Factor h(a).\nAnswer: -(a - 55)**2*(a - 2)*(a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*330\/(-726).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 13*v**3\/6 - 4692*v. Let b(d) = 16 - 16 - 8*d. Determine b(i(m)).\nAnswer: -104*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bc37 - -22ed?\nAnswer: -9939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -22*l**2 + 2*l. Let b(i) be the third derivative of 0*i**4 + 30*i**2 + 0*i + 0 + 0*i**3 + 1\/60*i**5. Calculate b(s(o)).\nAnswer: 484*o**4 - 88*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 28 = f. Let i(y) = y**2 + 3*y - 13. What is the remainder when f is divided by i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2444850*z - 17113940. Determine g(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b - 90*b = 57*b + 81*b + 4536 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*l - 108*l - 7*l**2 - 115*l - 117*l.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11023?\nAnswer: 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 - 44*i - 10. Let h(n) = 14*n**2 - 87*n - 25. Let w(j) = -2*h(j) + 5*z(j). Let p(u) = u**2. Determine w(p(g)).\nAnswer: 2*g**4 - 46*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - c = 42, -37*c + 34*c = -a + 3*c - 27 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - (-48)\/(-32). Suppose o - 26 + 103 = w. Let x = o - -108. Solve 2*j + x = -j + 4*a, -4 = -a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(135)*2)\/(-4*sqrt(605)*6 + sqrt(605)).\nAnswer: -18*sqrt(3)\/253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64 + -3988b?\nAnswer: -39827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -1, -2320\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 5*g + 3. Let s be (4 - 44\/12)\/((-1)\/3). Let z be -3*1*s*(-14)\/7. Determine u(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 7*q**2 + 3*q + (0 - 2*q + 0)*(-q + 5*q - 2*q) - 254*q**2 + 252*q**2 - 1083*q**2.\nAnswer: -1082*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 798 - -870?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*d - 106*d - 102*d - 1)*(0 - 2 - 1).\nAnswer: 243*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*j - 141*j + 290*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.0179 take away -0.20491727?\nAnswer: 204.22281727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 3*f**2 + 5*f**2 + (0*f - 5*f + 3*f)*(f - 2*f - f) + f + 2*f**2 - f + (0 - 5 + 4)*(-f**2 + 6*f**2 + 5*f**2).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - f**3 + 2*f**3 + (-3*f**2 + 2*f**2 - f**2)*(5*f + 0 + 0 + (0 + 3 - 5)*(-3*f + 0*f + 4*f)) in the form n*f + r*f**3 + m*f**2 + k and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.97 + 0.03. Let w = -0.33 + 6.33. Let s = d - w. Which is the biggest value? (a) s (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85748.5318 - -85759. Let h = 2.0372 - q. Let u = 8.4 + h. What is u rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 25*l + 26. Let p be (-36)\/(-7)*(-5 + 29\/3). Let k be t(p). Let s(i) = -2*i - i**2 + 2*i**k + 30 - 34. Give s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/45 - (-560)\/150) + (-68)\/18. Which is the nearest to 4\/7? (a) -17\/2 (b) 2\/7 (c) -2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 - 3) - (57 + -73 - -49).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevedfve. Give prob of picking 1 e and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/4))**25*(((p\/(p\/(p*p\/p**(-1))))\/p)\/p)**(-2\/17))**(1\/3) assuming p is positive.\nAnswer: p**(2117\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581 = -34*r + 3*r - 132 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2736) + (-2 + sqrt(2736) - sqrt(2736)))**2 - sqrt(2736))*3*-3.\nAnswer: -24660 + 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**5\/2 - 706455*p**4\/2 + 243458649*p**3\/2 - 20868350073*p**2\/2 - 10556257590*p = 0.\nAnswer: -1, 0, 173, 235140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 571315622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284*p**6 - 5*p**5*w**2 - 59*p**2*w**2 + 73*p*w**2 wrt p?\nAnswer: -34080*p**3 - 300*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 15*u - 24. Let o be n(-13). Suppose -26 = -o*r + c, 4*r - 56 = -0*r + 3*c. What is the remainder when 42 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 7*s + s**2 + 541 - 520)*(5*s**3 - 2*s**3 + s**3).\nAnswer: 4*s**5 - 12*s**4 + 84*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*s**3 + (-2 - 1 + 5)*(382*s + 170*s**3 - 382*s).\nAnswer: 338*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41864 is divided by 1132.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*a + 3. Let m = a - -1. Put m, 4, 5 in increasing order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, 2, 0.277, -2\/7, 0, -21\/74?\nAnswer: 0.277","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Let j(i) = i**2 - 5*i + 5. Let k be j(4). Suppose 0 = -5*h - 2*u + 6, -4*u - 1 = v*h + k. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17824*i**3 - 34935*i?\nAnswer: 106944*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) + 2660\/225. Let a = -2072\/171 + d. Let k = 1053 + -1051. Put a, -2\/9, 11, k in decreasing order.\nAnswer: 11, k, a, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (14 - 13)) + (-2 - (-400)\/(-202))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 606*u - 66. Let o(h) = -2*h**2. Determine o(y(z)).\nAnswer: -734472*z**2 + 159984*z - 8712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 563, 2159, 4811, 8513, 13259?\n\"Answer: -o**3 + 534*o**2 + o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -1072\/9. Let m(h) = -3*h - 4. Let r be m(-3). What is the biggest value in r, 3\/5, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73053221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 4. Suppose -3*j - j = -24. Calculate the lowest common multiple of f(-4) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1151 = j - 4*s, j - 1091 = -s + 60. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -76 + (1 + -9 - -146) - -9?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 91.10649 years?\nAnswer: 0.9110649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367216393 is divided by 202?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 1. Let r(y) = 4*y**2 + 2*y + 2. Let x(n) = -2*c(n) - r(n). What is d in x(d) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246636 divided by -806.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 17*u**2 + 12*u + 6. Let b = -135 - -148. Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-21))\/(25\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/36 and 140\/(-56) + 193\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1258850, -1258830, -1258812, -1258796, -1258782, -1258770, -1258760?\nAnswer: -1258752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2 + 19031 - 1568*h - 93172 + 7266 - 68055 - 172398 = 0 for h.\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -4) + -4 + (0 - 47 - -16)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y - 98. Let k be s(-37). What is the third smallest value in k, 4, -0.01?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 3. Suppose -3*w + 3316 = s*j + j, 2*j = 2*w - 2192. Round w to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -212 - -236. What is the second derivative of -218 + 5*z - 127*z**2 - r*z + 221 wrt z?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-80)\/128).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*g**3 + 7*g**3 + 56*g**3 - 17*g**3.\nAnswer: 106*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8*q = -264. Calculate the remainder when q is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -0.3 (c) -359 (d) 291\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 21*r**2 - 19*r + 14. Suppose x = -0*x - 20. Let h be n(x). Does 6 divide h\/(120\/63 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3571*r + 0*r**3 + 0*r**3 + 1148*r + 6*r**4 - 349*r + 67*r**5 wrt r?\nAnswer: 1340*r**3 + 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 519, 512, 491, 450, 383, 284?\n\"Answer: -q**3 - q**2 + 3*q + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4588602.\nAnswer: 2, 3, 269, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9249614351257\/624 - 14823093560. Let q = f - 82896\/13. Let p = 44\/3 + q. Are p and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 1. Let a be s(1). Let y(u) = -u**2 + 13. Does 2 divide y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4\/2)*1. Let z = 2 - y. Put 5, z, -3 in increasing order.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4\/7 + 3270*o**3\/7 - 26246*o**2\/7 + 68970*o\/7 - 59148\/7 = 0.\nAnswer: -1643, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -0.08 (c) -107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.02, 2, 3, 0.09, 1858\/7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 29294344 divided by -5441\nAnswer: -5384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-10 + -10 + -22).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658*x + 1732 - 654*x - 1732.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d71225 - 1?\nAnswer: -d71226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50\/9 - 3173\/576. Sort -3\/4, o, 2\/7.\nAnswer: -3\/4, o, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1543 or 0.18?\nAnswer: -0.1543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.138, -4, -2\/95, -4.29?\nAnswer: -4.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 5:28 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72013799.\nAnswer: 11, 13, 503593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -5\/14, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c + 4*a - 16, 4*c - a = 41. Let z = -10 + c. Sort -9, -3, z in decreasing order.\nAnswer: z, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 - 1. Let j(i) = -2*i**2 + 13*i - 14. Let f be j(4). Let p(q) = -8*q**3 - 6*q**2 + 2*q - 4. Give f*a(d) - p(d).\nAnswer: 2*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 24*q**2 + 27*q.\nAnswer: -3*q*(q - 1)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/6 + 7*r**2\/6 + 4*r\/3 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.34 - 31. Let q = -1.4 + t. What is q rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141827*g**2*k**4 + 3*g**2 - 212*g*k**2 + 9 wrt k.\nAnswer: -3403848*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11496 + 11505. Let r be 7\/3 - 12\/(-18). Suppose 0 = -n + r*n - 12. Solve -3*c + z = -n*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 - -3.7. Which is the second biggest value? (a) f (b) -2\/55 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1643 - 1163. Suppose -5*x = x - u. Suppose 15*w + x = -w. Which is smaller: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 14. Calculate m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-10))\/(4 - (-19341)\/(-4815)) and (-16)\/(-84) + -3 + (-3)\/(-3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145448.\nAnswer: 2, 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1296.\nAnswer: 388.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 163629669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 576743 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1000162 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*m + 52*m + 12 = 450 + 3153 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 20587*j**2 - 117*j - 2. Let q(h) = 2*h. Calculate q(d(b)).\nAnswer: 41174*b**2 - 234*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 4*s**2 + 2. What is the units digit of v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 172 = 2*s, -20*s - 342 = -24*s - 3*b. Let u be 3\/(45\/s) + (-33)\/55. Solve 0 = 4*i + 4*x - 16, 6 = 2*i + u*x - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 5424 (c) -11444\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -77*p**4\/12 + 51*p**3\/2 - 195*p**2 - 9. Give z(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + 24*w**2)*(38*w - 38*w + 7*w**2) + 1 - 1 - 4*w**4.\nAnswer: 164*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.48 + -2.48. What is the closest to o in -4, -0.4, 19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*d + 23 = 12*b - 0*d, 2*b - 3*d = 69 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-5)*1*15\/(-6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 + -35 - 39) + 31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.76635 and -13?\nAnswer: 8.23365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d53 (base 16) to base 2.\nAnswer: -110101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q*q)**(-44)*(q**(-1))**(-2\/13) assuming q is positive.\nAnswer: q**(2290\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 4*z**2 + 4. Suppose 6*k = 2*k - 5*l - 6, -2*k - 14 = -3*l. Let x be t(k). What is the greatest common divisor of x and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2454?\nAnswer: -1\/1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 5*l**3 + 5*l**3 + 2*l + (8 - 4*l**3 - 8)*(1 - 1 + 2) as x + k*l**3 + t*l + n*l**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 7 - -6 - (-9 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 0*h**6 + 0*h + 0*h**2 - 45 - 2\/7*h**7 - 47\/3*h**3 + 0*h**4 + 14\/5*h**5. Find the third derivative of c(f) wrt f.\nAnswer: -240*f**3 + 336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -38 + (-35 - -73) + 0 + -10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-2545))\/(1\/5). Let t = 9691\/5090 - a. Find the common denominator of -61\/2 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/h*h**(1\/5))\/(h*h*h**14*h*h\/h**(-16)))**(-40) assuming h is positive.\nAnswer: h**1512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282813 and 744?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1395295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -93 (b) -5 (c) 0.1 (d) -4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 + (6 - 9) + 58. What is the greatest common divisor of b and 1288?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/18? (a) 5 (b) -282\/5 (c) 340 (d) 2\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlmduuuumml. Give prob of picking 1 d and 2 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25024 and 599012?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -440 times 1349\nAnswer: -593560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 + 205. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5147, -20590, -46329, -82364, -128695?\nAnswer: -185322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u + 0*u)*(3*u + 0*u - 2*u) + 2*u**2 + 28 - 28 - u**2 + u**2 + 3*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.19 + 32. Let i = g + -0.01. Let l = -23 + 22.9. What is the nearest to l in 3, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s. Let d(a) be the second derivative of 0 - 1\/3*a**3 + 0*a**2 - 4*a. Calculate d(f(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13993, -20764, -27535, -34306, -41077?\n\"Answer: -6771*f - 7222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**3 - 3*l**2 + 7*l + 19. Give j(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 103242561 (base 7) to base 2\nAnswer: 10111100000011000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 7. Suppose -3*p = 19 - 10. Let v be (-2)\/(p + 2) - -25. What is the greatest common factor of k and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 - 15*u**2 - 10*u. Let l(o) = 3*o**3 - 7*o**2 - 5*o. Let k(g) = -2*b(g) + 5*l(g). What is the units digit of k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a factor of 2278080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 230 = 5*d, -2*d = d - i - 136. Let q(p) = 79*p**2 - 38*p**2 - d*p**2. Let z(k) = 4*k. What is z(q(x))?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1073 + 1075. What is the smallest value in j, -6, 3, 2\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = -7. Let b = g - -7. What is the lowest common multiple of b and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 - 15*n - 14. Let j be w(-6). Suppose -3*u - 2*t + 545 = -0*t, 2*t = -2*u + j. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 764646589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 126 = -7*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -268, 296, 817, -3 in increasing order.\nAnswer: -268, -3, 296, 817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 13. Determine z(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10c88 (base 13) to base 4\nAnswer: -13133231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124488.\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 11269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 21*d + 630 = 0, -177*v - 60 = -175*v - 2*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*u - 14 = 35, 0 = -2*i - u + 103. What is the remainder when i is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1081.37 to the nearest ten.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c - 52. Suppose -11895 = -2*b - 11887. Let f(n) = -6*n - 53. Give b*i(q) - 5*f(q).\nAnswer: 2*q + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/3 + 656*q**2\/3 - 662*q = 0.\nAnswer: -331, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3)*b)**9)**(-2\/27) assuming b is positive.\nAnswer: b**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from onccoxnoooonnng.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/7)*r)\/(r**8\/r))**1 assuming r is positive.\nAnswer: r**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 2, e: 2}. Give prob of picking 2 e and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 109.379*-0.127\nAnswer: -13.891133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43426 + -1?\nAnswer: 43425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 - 2*w + 8. Let o be x(-4). Suppose -25*b + 21*b + 16 = o. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 3*d - 3*w - 21, 4*d - 3*w + 14 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*a**5*j + 353*a**3*j**2 - 10*a*j**2 + 501*j**2 wrt a.\nAnswer: 1400*a**3*j + 2118*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -41, -3\/5, 3, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 5*c**2 + 4*c + 3. Let f = -9 + 13. Let h be l(f). Suppose 0 = -h*a - 5*z + 55, 0 = -4*a - 0*a - 5*z + 70. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577\/2 > 789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/((-39648)\/126)*2\/12?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63257.\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**(1\/7)))\/(q*q*q*q**(-2)*q*q*q*q))**(2\/69)\/(q**(-7\/4)\/q**8)**(-1\/15) assuming q is positive.\nAnswer: q**(-7919\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, u: 2, t: 4, l: 1}. What is prob of picking 1 l, 2 t, and 1 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 7*c**2 - c - 5. Let h be t(-5). Let f be h\/(-10) - 2\/(-4). Solve s + 2*y + f = 0, -4*s - 7 = 3*y - 0*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1691 + 2848. What are the prime factors of b?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 122119570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c + 3 = 0. Let m be 0 - (33 + c\/3). Calculate the common denominator of -93\/20 and (9\/6)\/(6\/m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.3 (c) -2 (d) -0.9 (e) -3\/4 (f) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113019 is divided by 890.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (665\/(-532))\/(60\/(-768)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiioiiioi. Give prob of sequence iioi.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -467 + 2454. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/3607380 and 46\/75?\nAnswer: 18036900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*p - 1 + (5*p - 7*p - 5*p)*(-8 + 0 + 0))*(-1 + 1 - 1)*(-9 + 4 - 7) in the form w*p + z and give w.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 4 (b) -3 (c) -21735\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-23 + 4) - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4098198, 4098196, 4098194?\n\"Answer: -2*t + 4098200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 1. Let y(w) = w. Let z(n) = -6*r(n) - 17*y(n). Let b be z(-6). Let i be (12\/20)\/((-2)\/(-10)). Solve 3*m - i - 3 = b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -45. Let r = i + -38. What is the second biggest value in r, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 16) to base 6\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*l + 960 = -165*l. Let s = -11 + 15. Solve s*t - l = 3*k, -5*k - t - 17 = -0*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19295 * -6909\nAnswer: -133309155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5 + 104*d**4 + 3216*d**3 + 24976*d**2 - 12880*d - 101568 = 0.\nAnswer: -46, -12, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkknoonntokknnnok. What is prob of sequence tn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p = -17*g - 116*p + 99, 5*g + 10*p - 22*p - 39 = -9*p for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 2 - (10 - (16 + -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x + 3 - 3 + x - 4*x - 2*x + 5*x - 2*x + 3*x - 2*x + (4 - 2 - 1)*(-4*x + x + x) + 1 - 1 + 2*x)*(12 - 6*x**2 - 12) + 50*x**3 - 54*x**3 + 42*x**3.\nAnswer: 50*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 124. Let c = q - -9. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 853936*p - 1065816?\nAnswer: 853936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7052629 by -7052629.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2. Let l(h) be the third derivative of h**8\/10080 + h**5\/60 + 2*h**2. Let p(a) be the third derivative of l(a). Determine p(n(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-91 + 94)\/((-6)\/(-13582)).\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11200 + 11?\nAnswer: -11123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/22381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 6) in base 14?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3231607186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 13*m**4\/12 + 11*m. Let o(a) = a. Calculate t(o(z)).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-178)\/6)\/((-2)\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 6652. Let y(h) = 2*h. What is g(y(z))?\nAnswer: -12*z - 6652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4755938 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiysyiiyiuyus. Give prob of sequence uiis.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 9 - 15 - (0 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -16*o**3\/3 + 94399*o**2\/3 + 506654*o + 887400 = 0.\nAnswer: -225\/16, -2, 5916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:41 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5156498315.\nAnswer: 5, 727, 1418569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20739839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 78, 245, 478?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-4)*(-16)\/(-24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03785 and 42.94.\nAnswer: 1.625279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 76 - 76. Which is the fourth biggest value? (a) j (b) -4 (c) 0.1 (d) 4\/3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**3 + 11*f**2 - 271*f + 732. Calculate l(3).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 26*f**2 - 2*f - 60. What are the prime factors of b(-24)?\nAnswer: 2, 3, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10071 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + sqrt(2) + (sqrt(200) + 1)**2) + -2.\nAnswer: 126*sqrt(2) + 1228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 554 + -508. Calculate the remainder when 57 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -0. Calculate the common denominator of 2\/11 and 364\/(-42)*12\/j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.6 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 14308, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t + 3. Let l be d(4). Suppose 2*c + 6 = 4*f, 23 + 14 = l*f + 5*c. Suppose -5*j - 110 = f*u - 2083, 4*u - 1943 = j. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*o + 925*o + 4*z = -26, -5*z + 6 = -3*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75925*j - 2835 = 76030*j for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 11 - 48*m + 10)*(-2*m - 4*m + 2*m) as u*m**2 + o + s*m and give u.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -67) + (-3)\/1. Let g = -564 + 626. What is the highest common divisor of g and m?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -410*d. Let f(a) = -70*a**2. What is f(p(g))?\nAnswer: -11767000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 546, 822, 1098?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59839141069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 437 - 2026723?\nAnswer: -2026264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*b + 25 - b**3 + 11 + 16 - 24*b + 22 - 38*b**2.\nAnswer: -(b - 1)*(b + 2)*(b + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.043, -3\/19, 0.5, -19634?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/(((-198)\/(-234))\/(-11)*-91).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15390.4682 + 15389. Let w = t + 1.46. What is w rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46103, 81784, 117461, 153134, 188803?\n\"Answer: -2*u**2 + 35687*u + 10418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 8703525?\nAnswer: -8703525.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6256786, 6256785, 6256784, 6256783, 6256782?\nAnswer: 6256781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 5*h + 4. Let n(j) = -j - 1. Let z be n(4). Let a be d(z). Suppose -2*b - s + 4*s + a = 0, 2*b + 5*s + 12 = 0. Which is smaller: 0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 47*j + 19*j + 30*j - 22*j.\nAnswer: 67*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 60259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81528 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 7*t**4\/24 - t**3 - 375*t**2 - t - 2. Give w(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1108482, 2216964, 3325448, 4433934?\nAnswer: 5542422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Suppose 5*p + 5 = 0, a*v + 0*p - 4*p - 29 = 0. Find the first derivative of 4 - v*d + 0*d - 7*d wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let a be d(-2). Let i = a + 6. Let k(j) = 4*j - 3*j + j + 2 - i*j. Give k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -17, -54, -109?\n\"Answer: -9*j**2 + 8*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 0, k - 6*k + 15 = -3*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i + i**2 - 5 - 14*i + 2. What is the remainder when 32 is divided by s(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 1798?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + 2*-4*sqrt(132))\/(sqrt(60)\/(sqrt(35)\/sqrt(7))).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4\/3 + 112*p**3\/3 + 784*p**2\/3 = 0. What is p?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25127 - -25131. Solve -7*r - 19 = i - 11*r, -16 = -n*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 26*y**3 + 13 - 100*y**3 + 31*y**3 + 44*y**3 - 4 + 6*y**2. Calculate p(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(1210)*4 - sqrt(1210)).\nAnswer: sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11 = -29. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 1193635722047\nAnswer: -1193635722047.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 times -5.9?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 3*t**2 - 16*t + 46. Is d(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073 = 42*z - 31355. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, v: 2, z: 2, h: 4}. What is prob of picking 1 v and 3 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40577 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -554203\nAnswer: 105298.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (476 - 478 + 13449*l - 1154*l)*(5*l - l - 3*l) as j*l + s + a*l**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 33 = -5*v + 2, -4*t = 3*v - 28. Let a(b) = -2*b**2 + 8*b + 4. Let l be a(t). Let j be ((-95)\/l)\/((-2)\/4). Put 5, -2, 4, j in increasing order.\nAnswer: j, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1693? (a) -0.174 (b) 3\/2 (c) -2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgddddggddddddddd. What is prob of sequence gdg?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 9, 4, -5, -18?\n\"Answer: -2*g**2 + 5*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o**2 + 2*o + 3. Let t(h) = 25*h + 8*h**2 + 3*h**2 - 7*h**2 + 1 - 24*h. Suppose -u = -2*x + 11, 0 = 5*u + x - 4 + 15. Determine u*r(b) + 8*t(b).\nAnswer: -b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -1. Suppose -5*o + 3*r - 69 = 0, -r + 9 = 2*r. Let l be (-116)\/154 - o\/66. What is the third biggest value in -2\/23, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.14, 2, -3, 1, 1232, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/979 and 52\/9614759.\nAnswer: 9614759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 59 = -2*l + 62, -5*l - 3*x + 292 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294470829, -1177883307, -2650237437, -4711533219, -7361770653?\nAnswer: -10600949739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 8*x - 6. Let v be 1 + -7 - (-2 - -4 - 7). Let p be z(v). Let t(i) = 14*i**3 + i**2 - 2*i + 1. Determine t(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -14?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 91569784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p**3 + p**2 - 1. Let u be f(1). Suppose -3*d = 5*x - 24, 3*x - 8 = -5*d - 0*d. Let r = u - x. Solve 0 = -n - 5*i + 13, r*n + 2*n + 17 = 3*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 111118.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 84 (b) -3 (c) -726\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 11*d - 22. What is z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 5*p. Let k be l(5). Suppose k = 4*f + 5*t - 460, -2*f + 0*f + 244 = -t. Suppose -z - 13 = -28. What is the greatest common divisor of f and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179.05 - 186. Let k = -7 - v. Let i = k - -0.01. What is i rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/1)\/(-4)*(-3)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*p = 38, -3*t - 4 = p + 78. Let f = -24 - t. Solve -f*n - 6 = 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210101220 (base 4) to base 7.\nAnswer: 1156122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -1\/5, -0.6, -0.4, -12 in increasing order.\nAnswer: -12, -0.6, -0.4, -0.3, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = z + 11. Let o(b) be the second derivative of 1\/20*b**5 + 0*b**4 + 0 - 1\/2*b**z + 0*b**3 + b. Differentiate o(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/7 + 123*h**3\/7 + 2417*h**2\/7 - 5199*h\/7 + 380 = 0. What is h?\nAnswer: -19, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**6\/360 + x**5\/30 + x**4\/6 - x**3\/3 - 1. Let z(j) be the third derivative of y(j). Calculate z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2554342*l**3 + 3478 + 2554250*l**3 - 3480.\nAnswer: -92*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**4 + 1840*n**3 + 176355*n**2 + 1279800*n - 1458000 = 0?\nAnswer: -180, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*h**2*v + 2*g*h*v + 9*g*h + 55805*g*v**2 - 364*g*v + 2*h**2*v**3 - 2*h**2 + v**3 wrt v.\nAnswer: 111610*g + 12*h**2*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37200 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 197*k + 45758.\nAnswer: -(k - 334)*(k + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172128181 is divided by 4058.\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 15. Suppose 5*a - 7 - 5 = 3*n, 4*n + 27 = 3*a. Let k be v(n). Find the third derivative of -96*c + 8*c**2 + 6*c**5 + k*c wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = c - 5, 0*c - 20 = -2*c - 3*a. What is the greatest common factor of c and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1519a03 + 3?\nAnswer: -1519a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 11. What is d(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 849 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggttbqrgzqgq. What is prob of picking 1 r and 1 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-60)\/(-120)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 38*f + 1548. Solve 0 = -15*h + 62 + f for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 50*t**2 + 1871*t + 109. Determine u(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0365 - -564.9635. Let o = 564 - h. Which is the second smallest value? (a) -4 (b) -2\/11 (c) o (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-12))\/(150\/(-1440)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*s = -6, -2 = -4*k + 3*s - 7. Let n be (2 + 4)\/(k\/(-1)). Let a be ((-1)\/2)\/((-2)\/20). Solve -4*q = -2*q - n*o - 2, a*q + 12 = -o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13110 + -1203210?\nAnswer: -1222320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 99791940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*g + 3*g. Let r = 11 - g. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 10*w - 8*w + 27, 8*w + 3*u = -63 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 10. Let f(a) = a. Let q be f(2). Solve -4*i + 2*z + 20 = -q, -z - 5 = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2288*c - 426 = 2404*c - 1702 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 2. Let s(z) = z + 2. Determine -6*h(l) + 5*s(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14328 and 189249?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(121)\/(sqrt(121)\/sqrt(11)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g. Let b(k) = 469*k - 142*k - 155*k - 62*k. Give b(c(i)).\nAnswer: 990*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 + 472*c**3 + 21*c**2 - 36*c**2.\nAnswer: 472*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17709, 35277, 52769, 70197, 87573, 104909, 122217?\nAnswer: 139509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35 - 17*t**4 - 6*t + 23 + 38 - 6 wrt t?\nAnswer: -68*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 (base 8) in base 15?\nAnswer: 11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3575? (a) -2\/5 (b) -6624 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/4 (b) -3\/7 (c) 1 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -v + 7, -4*o + 5*v + 10 + 12 = 0. Suppose -4*q - 929 = -3*x, 2*q + 459 + 6 = x. Let u = 244 + q. Solve -u = -a - 5*i - o, -4 = -a - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 7*o**2 - 3*o - 3. Determine r(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 949191 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = j - 1 - 27, 5*v = -2*j + 41. Suppose 8 = 2*m - 0*m. What is the greatest common divisor of m and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/3 - 6*s. Let d(b) = 2*b. What is d(g(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -23*f + 1. Let a be (-144)\/78 + 8\/(-52). Is n(a) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/100)\/((-32)\/10 - -3). Suppose 0 = n - 3*n + q + 14483, n - r*q = 7243. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let o be (-8)\/(-3) - y*2. Let i = -3.4 + 1.4. What is the smallest value in i, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-1)\/8*-8*11\/1320.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 12*q + 1 = 0. Let u(f) = 7*f**2 + 9*f - 10. Let j(r) = r**2. Let n(g) = q*u(g) + 6*j(g). Is 23 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106720 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 5 - 4)*((-5*n**2 + 6*n**2 - 3*n**2)*(1 + 2*n - 1) + 4*n**3 - 4*n**3 + n**3) + 0*n**3 - n**3 + 0*n**3.\nAnswer: 68*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, -f - 5*b + 0 = -1. Let j(s) be the second derivative of -s**3\/2 - s**2\/2 - 675*s. Determine j(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20817 and -0.5?\nAnswer: -10408.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {i: 2, l: 1, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2438)\/636*36\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f + 18 - 78 = 0. Let t(r) be the first derivative of 0*r**2 - f - r**4 - 8\/9*r**3 + 0*r. Find k, given that t(k) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1276 + 4760?\nAnswer: 6256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7)*6)\/(33\/(-385)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -610*x**2 + 844*x + 367016 wrt x?\nAnswer: -1220*x + 844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 6*u - 6*x - 741, 15 = -5*x. What is the highest common divisor of u and 492?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180640071?\nAnswer: 3, 6690373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 948?\nAnswer: -94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/65*18450\/16728*(-4)\/6.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 538513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in 5, -3, 326?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*m = 1086*m - 890 - 5136 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-42))\/((-15)\/805). Calculate the greatest common divisor of 506 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1643, 3113, 4581, 6041, 7487, 8913, 10313, 11681?\nAnswer: 13011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -306*b*j + b - j - 11 wrt j?\nAnswer: -306*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 804076960 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/430 or 3737?\nAnswer: 21\/430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408 = -46*z - 2972 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 not equal to 280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s - 2. Let b(z) = 11*z + 1. Let g(i) = 5*b(i) + 6*v(i). Let p = -2 + -3. Let a = -4 + p. Let d(j) = -2*j - 3. Give a*d(k) + 4*g(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -111013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*q**2 + q**4 + 0*q**2)*(-q - 4*q + 0*q) + q**5 + 2*q**5 - 2*q**5 - 4*q**5 + 5*q**5 + 0*q**5.\nAnswer: -3*q**5 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1034*q - 515 = 1553. Let j(y) = -y - 6. Let w be (-78)\/(-24) + (-2)\/8. Let b(z) be the first derivative of -5*z + 1. Calculate q*j(u) + w*b(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*(-8)\/(-384) - (-7)\/(-30). Which is the closest to 3? (a) o (b) 321 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k - 210751 + 706*k**2 + 210355 - 130*k**2 wrt k.\nAnswer: 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 5:26 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/880*-11)\/(2\/((-10)\/5)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10\/3, 3, 3199?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaxx when four letters picked without replacement from axaxaxaxaaxax.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g + 11864 - 2155 = -575*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8077 - 83.6623. Round j to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1006236*m**3 - 56*m**2 - 449457060 wrt m.\nAnswer: 3018708*m**2 - 112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/243 and 31\/429.\nAnswer: 34749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(147)*-3 - sqrt(147) - (sqrt(3) - (1*sqrt(27))\/sqrt(9))))**2.\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose 0 = p + 5*k + 2, 0 = -y*p + k - 1 - 5. What is the units digit of (1\/3)\/(p\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2190449493 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 9. Let v(j) = -j**3 + 2*j**2 - j + 2. Let r be v(i). Solve r = 4*w + 13 + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3837 > -15353\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.32 + 1.32. Let q = 425\/3 - 142. Sort q, -5, 0.5, l.\nAnswer: -5, q, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(153) + -1*sqrt(153))*2 - sqrt(153)))\/((sqrt(252) - ((sqrt(252) - -3*sqrt(252)) + sqrt(252)))\/sqrt(7)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2399*q + 2820*q - 1143*q - 117*q.\nAnswer: 3959*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -269*z. Let r(n) = -1 - 13 + n**2 + 14 + 3*n**2. What is c(r(v))?\nAnswer: -1076*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20\/7, -0.2, 1224, -0.4, -0.161?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofoxsssfc. Give prob of sequence xsc.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-110)\/(-6))\/(2\/30). Let p(u) = 1181*u**2 - 3*u - 5. Let w be p(-2). Let b = g + w. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*o - 8, 5*o - 4*a + 10 = -9*a. What is the closest to -1 in -0.25, o, -0.2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 11. Let u(n) = -142*n**2. Give u(c(w)).\nAnswer: -568*w**4 + 6248*w**2 - 17182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35836164*z**3 - 1226*z**2 - 5*z - 1353 wrt z.\nAnswer: -215016984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -7178?\nAnswer: -23\/7178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 - (-4)\/(-8)*2. Let h(z) = -2*z + 7. List the prime factors of h(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*b + 6, 222*f - 221*f + 2*b = 0. Solve -80 = -f*q - 92 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-17) - 33580\/391. Let i be 42\/4*-12*-1. Let c = p + i. Calculate the highest common divisor of c and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c - 604*c**2 + 10 + 604*c**2 + 2*c**4 + 0*c**3 + 2*c**3 in the form b*c**2 + k*c**3 + q*c**4 + f*c + d and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37898689727 - 0.8.\nAnswer: 37898689726.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 + -13 + (2 - 6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -4*v - 32, -i - 4*v = -8*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360, 2876, 9702, 22992, 44900, 77580?\nAnswer: 123186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in microseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -27. Let -s + p**4 + 15 - p**5 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 25*p**4\/12 - 13*p. Let q be r(-1). Let l = 36 - q. Calculate the remainder when 65 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -0.35 (c) -2\/22552649\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o**3*q**3 - 372*o**3*q**2 - 5*o**3*q - 2*o**3 - 2*o**2*q**2 + 2*o**2 - 46*q wrt q?\nAnswer: -42*o**3*q - 744*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:04 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-29 + (1 - 5 - -11 - 0) - -6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2 - 614*z - 13. Give c(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+-2375350\nAnswer: -2375350.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, 5, 12606, 2 in decreasing order.\nAnswer: 12606, 131, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2.9+-81725463\nAnswer: -81725465.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 2*i = -31*v + 4, 0 = -2*v + 4*i - 12. Let t(m) = -m**3 - 141. Let k be t(0). Calculate the remainder when k\/(-6) + v\/4 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (10\/125)\/(1\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 6*u**2 + u + 10. Calculate t(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**2 - 42*l - 357. What is the units digit of x(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272242.2 decades to millennia.\nAnswer: 2722.422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(25\/20) + 15. Suppose -5*y + c + 54 = 0. Suppose 0 = y*h - 14*h + 18. What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 773\/88 + -31\/8. Is p equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184578 = 7*n + 7*o - 10*o, 4*n + 3*o = 105492. What are the prime factors of n?\nAnswer: 2, 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10.9, 32, 4, -1, 2\/13, -5?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -1\/48*q**3 - 3*q + 0 + 1\/96*q**4 + 0*q**2. Factor a(f).\nAnswer: f*(f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 19. Let r be l(-7). Suppose 31*j = 49*j - 36. Suppose -4*s + 6 = -r*v, -v + 9 = -j*s + 4*s. Solve o - 4*o - v = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 26196*m**2 - 57185868*m + 41612249948.\nAnswer: -4*(m - 2183)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 381317 and 1888?\nAnswer: 12202144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/117 + 20\/(-39). Let l = 0 + -1. Which is the nearest to -2? (a) l (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*f + 36. Let n be 2\/4 - (-7257)\/f. Suppose 0 = 11*v - v - n. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tffffpttftfftt. Give prob of sequence pf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j - 5. Let w be x(-5). Suppose 4*s = -w, -5*l - s + 25 = -2*s. Let k(q) = 2*q - 11. What is the remainder when k(9) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-85) - 4\/10. Sort 46, u, 2 in increasing order.\nAnswer: u, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-45) - (-320)\/(-100)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(12\/(300\/35))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than 15320\/669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9731113 months to years.\nAnswer: 0.247759275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62, -66, -70, -74?\n\"Answer: -4*m - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2*4\/(-8). Let n be (q\/(-9))\/(3\/(-387)). Suppose -n = -2*h + 55. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 75, 142, 245, 390, 583, 830, 1137?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188 - -191. Sort 1, 5, -0.4, x in ascending order.\nAnswer: -0.4, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 2*q**5 - 2*q**5 + (85*q - 18*q - 34*q)*(0*q**4 - q**4 - q**4).\nAnswer: -67*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -240, -374, -508, -642, -776?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1333 - -2?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i - 4, -2*y - 4*i = -10. Calculate the common denominator of -23*((-273)\/26 - -9)*(-8)\/(-60) and y*2\/(-6)*-34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/40)\/(60\/64)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*d - 25 = 0, -2*m - 2*d = m + 66. Let r(h) = -9 - 13 - 163*h - h**2 + 293*h - 151*h. Determine r(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-12) - (-34)\/3. Suppose 3*h + 2 - l = -3*k, k = -4*h + 3. Is (3 + 15\/k)*2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 4730*o + 9440.\nAnswer: 5*(o + 2)*(o + 944)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 5. Let u(l) = l. Let c(k) = 8*k + 3. Let m(y) = -c(y) + 6*u(y). Suppose 0 = -61*w - 117 - 188. What is w*x(p) - 8*m(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*n**2 - 45*n**2 + 4*n**3 - 87*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 17. Let d be 1\/(-2)*(19 - -3). Let n be s(d). Suppose -2*r + 20 = 2*y - 7*r, -r - 4 = 4*y. Solve y = -2*l + n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16*j**2 + 10*j - 10. Let f = 42 - 40. Let v(k) = -3*k**2 - 7 - 2*k**f + 25 - 15 - 3*k. Let d(m) = 6*i(m) + 20*v(m). Factor d(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqcr when four letters picked without replacement from {r: 4, q: 4, c: 11}.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -765*c*g + 143*c + 94851*g wrt c.\nAnswer: -765*g + 143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 3 = -9. Let m = -3\/22 - -7\/22. What is the nearest to t in 0.6, 4, m?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -83*g**6\/120 + 7*g**5\/15 + 1357*g**4\/12 - 10351*g**2. Find the second derivative of y(z) wrt z.\nAnswer: -498*z + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m - 1. Let d be f(5). Suppose 7*r = -105 + 112. What are the prime factors of (d*r\/(-3))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2333.04596 to the nearest 10.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -307 by 1.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.8, 5, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-2)\/4)*-36. Let o be (-1416)\/(-54) + 2\/(-9). Let q = z + o. Calculate the lowest common multiple of q and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2. Let n(u) = 20*u + 35. Let v be n(6). Let b(j) = -22 - v - 2*j - 37 - 9 - 30. Give a(b(r)).\nAnswer: 8*r**2 + 2024*r + 128018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4696*f**3*y**2 + f**3*y - 98361256*f*y + 7203*y**5 wrt y.\nAnswer: -9392*f**3 + 144060*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*((-8)\/38 + 0). Let m(r) = r**3 + 3*r**2 + 14*r + 26. Let w be m(-2). Factor -4\/19*v**4 + 14\/19*v - x*v**5 + 16\/19*v**w + 4\/19 + 4\/19*v**3.\nAnswer: -2*(v - 2)*(v + 1)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197817?\nAnswer: 3, 233, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 618578, 618740, 618906, 619076?\n\"Answer: 2*v**2 + 156*v + 618420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7270, -17671, -31200, -47857?\n\"Answer: -1564*f**2 - 5709*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -3*d - 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60373419 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7*f + 56 = 0. Solve -47 = -f*h - 40 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 10:54 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3401 to 2 decimal places.\nAnswer: 2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(48))*-3)**2.\nAnswer: 216*sqrt(3) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 62.14 and 83.\nAnswer: 145.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75235, 153038, 230841, 308644?\nAnswer: 386447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*2*(sqrt(66) - -2*sqrt(66)))\/(sqrt(54)\/(sqrt(18)\/sqrt(2)) - sqrt(30)\/(sqrt(5)*2))*-6.\nAnswer: 648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 629, 2\/9.\nAnswer: -183, 2\/9, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -147 (b) 0.3 (c) 0.08 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 4*j, 0 = -2*i + j + 169. Let w(v) = i*v - 47*v - 46*v. Let n(q) be the first derivative of -4*q**3\/3 + 7. Calculate n(w(z)).\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from qdqqlgqggdcdqyg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -2\/3 (b) 2\/3 (c) 5 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2653 - -0.1832. Let r = f - -0.08571. What is r rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 5*a**2 - a. Let r(g) = g**3 - 27*g**2 + 5*g + 53. Determine 5*i(q) + r(q).\nAnswer: 6*q**3 - 2*q**2 + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(-3*p**2 + 0*p + 2*p - 4*p) as c*p + o + j*p**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(0 + 2)\/4. Let v(f) = 348*f**2 - 14*f + 18. Let y(d) = -731*d**2 + 29*d - 38. Let q(s) = -21*v(s) - 10*y(s). What is q(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1\/2, 37 in descending order.\nAnswer: 37, 1\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2 - (-5)\/1. Suppose 0*r + 3*r = -4*a + 5, 3*a - 10 = 4*r. Let y(d) = 9 - 4 - a*d - 3. Calculate y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.60947 nanoseconds in microseconds?\nAnswer: 0.02360947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-10))\/((315\/(-70))\/((-30)\/4))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g**2 - 42*g**2 + 5*g**2 in the form s*g**2 + q*g + f and give s.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -113 + 113 + b**2. Let s(t) = -8*t**2. Calculate s(a(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, -34.\nAnswer: -34, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (-7 - -5) + 5 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849*d = -863*d + 98 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/3, -167, 6 in decreasing order.\nAnswer: 23\/3, 6, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*q - 3601 = 85 - 968 + 2448 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/305289 and -119\/23880384?\nAnswer: 214923456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a - 20*a - 32*a.\nAnswer: -63*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/21 - 18*d**3\/7 - 94*d**2\/7 + 934*d\/21 + 1240\/7 = 0.\nAnswer: -5, -3, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 43949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 510, 748, 966, 1158, 1318?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-125)\/((-3000)\/288))\/(11*(-3)\/9*-6)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 21 = 14 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**4 + 5*y**4 - 5*y**4)*(-1 + 3*y + 1 + 2 + y - 2 + 2*y - 4*y + y + (2 - 3 + 0)*(y + 3*y - 2*y)).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 2*q**2 + 2*q**2 - q - 3*q**2 to the form j*q**2 + c*q + s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**2\/7 + 310029*k\/7 - 310032\/7 = 0.\nAnswer: -103344, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = 2*r, -5*r + 10 = -2*t - 5. Solve -5*c + 15 = 6*l - 3*l, r*c + 20 = 4*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 33. Let x be (0\/w)\/(-3 - -1). Suppose x = -t + 1 + 1. Calculate the smallest common multiple of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 t when four letters picked without replacement from {t: 9, m: 11}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1936)\/308)\/(48\/(-70))\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 65 = -y - 4*i, 820 = 5*y + 5*i. Let k be ((-1)\/2)\/((-16)\/y). Suppose -w = -k*w + 140. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (2*-2*sqrt(275) - sqrt(275)))*6)**2 + -4.\nAnswer: 356396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11521, 11547, 11573, 11599?\n\"Answer: 26*w + 11495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 4*c**4 - c**4 - 5*c**4 + c**4 + 2*c**4 + (-c - c + 0*c)*(2*c**3 + 1 - 1) + (-c**3 + 2*c**3 + 0*c**3)*(-9*c + 2*c + 4*c).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 4, j: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 304.7.\nAnswer: -300.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -48*b**2 - 6. Let j(r) = 2*r**2. What is p(j(q))?\nAnswer: -192*q**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1816 is divided by 619.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from rdddtddtrsstdrdrzt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 619.676094 + -0.016094. Let j = r - 646. Let x = -26 - j. Round x to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 439334297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*o + 6*o - 7756 + 1968 = 4*a, -5*o - 2*a - 398 = 0 for o.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m + 4*y + 20, -4*m - 26 = y. Let j be (4\/(-3))\/(4\/m). Suppose 0 = -5*v + f + 32, -3*v = j*f - 0*f - 27. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 7*u - 7. Let c(r) = -r**2 + 3*r - 3. Let k(x) = 7*c(x) - 3*s(x). Let l(b) = -150*b. Give l(k(t)).\nAnswer: 150*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*-1*0*5\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296 + 650. Let n = w + 36. Is n a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, 5, 346, 3579, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*10\/25*5. Differentiate -q**3 + q**3 + 12 + q**u + 1 wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 17 - 25*c**2 - 3*c**2 + 19 + 2*c + 11*c**2. What is the units digit of l(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 23 - 28*r - 15 to the form z*r + k and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539591695 + 539591695 - 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 - 0.57. Put -2, u, -10 in ascending order.\nAnswer: -10, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 15*w + 70. Let y(z) = z + 5. Let a be 24\/(-9)*18\/4. Let q be ((-1785)\/a)\/(-7)*4. Let i(n) = q*y(n) + 6*j(n). Give i(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k - 22 = -5*c, 4*k - 19 = -3*c. Suppose 2*t + 3*j - 58 = 0, 138 = c*t + 2*j + 2*j. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 + 4*u**2)*(4966 + 1951 + 26032 - 703 + 11443 - 2535).\nAnswer: 82308*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 2)**2 + sqrt(2) - (sqrt(32) + -4).\nAnswer: 17*sqrt(2) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 132, 311, 550, 843, 1184?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52438 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 7*n. Let y(g) = -g. Let s(a) = 2*f(a) + 14*y(a). Let b(l) be the second derivative of 0 + 1\/6*l**3 + 11*l + 0*l**2. Determine b(s(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 491405 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1436266775 divided by 5.\nAnswer: 287253355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 184525 = 5*r, -r = -225*a + 228*a - 110719. What are the prime factors of a?\nAnswer: 13, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - u - 288. Suppose -16*f + 188 = -u. Solve -f + 12 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(1*sqrt(8)) + (sqrt(128) + -1)**2 + 0)*-5.\nAnswer: -645 + 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(567) + sqrt(567) - (sqrt(7) + 0)*-6.\nAnswer: -1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 3*g**2 + 7*g**2 - 9*g**2)*(g + 5*g - 3*g).\nAnswer: -15*g**3 - 45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/42 and 29\/4032?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Solve 4*l + 20 = m, -4*t - 5*l + 10*l + 25 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1471456.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 6*l + 3. Let c be 10\/6 + (-4)\/(36\/(-3)). Suppose -t = -0*y - 4*y, 0 = -5*t - c*y - 22. Is 27 a factor of g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9620216 millilitres in litres?\nAnswer: 0.0009620216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3272 divided by -2?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12009 is divided by 11684?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9031\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.94834 centuries in years?\nAnswer: 8194.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -496 * -0.01.\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 351*o**2 + 15792*o - 102. Let r be m(-53). Factor -2\/3*f + r - 2\/3*f**2.\nAnswer: -2*(f - 2)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10533687 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056 and 612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10011011000011000110?\nAnswer: -10011011000011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4060218 is divided by 70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2959496389.\nAnswer: 83, 35656583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 60 + 43)*(16*q**3 - 5*q + 9*q**3 + 7*q).\nAnswer: 4300*q**3 + 344*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3))**(-3\/7)*(b*b\/((b\/(b*b\/(b*b**(-2\/5))))\/b))**21)\/((b**1*b*b)\/b**(-1)*(b*b\/(b*b**(1\/3))*b)**(-2\/15)) assuming b is positive.\nAnswer: b**(21391\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2*a**3\/9 + a**2\/3 - 4*a\/3 - 3. Factor l(c).\nAnswer: 2*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764860 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.53 minus 0.7?\nAnswer: 269.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 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 seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1197*o - 1826*o + 23902 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - j**2)*(5 - 5 + 2) + 258*j**2 - 196*j**2 + 534 - 535 - 6*j.\nAnswer: 60*j**2 - 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/32 - (-278)\/8)*-18. Is h greater than or equal to -622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-200) - 2044393\/(-260). Which is bigger: 7864 or a?\nAnswer: 7864","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = -3*x + 270, 3*z + x - 19 = 0. Let w(p) = p**3 + 3*p**2 + 3. Let q be w(-3). Solve -g + q*h = 2 - z, -2*g - 14 = 2*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121308.\nAnswer: 2, 3, 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 9684544*x**5 + 154934032*x**4 + 280553033*x**3 + 135042272*x**2 - 261147*x + 126 = 0.\nAnswer: -14, -1, 3\/3112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (6 - 40) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67540?\nAnswer: 2, 5, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {h: 1, d: 2, c: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**7\/70 + 5*w**4\/12 - 5*w**2. Find the second derivative of p(z) wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*k + 13. Differentiate -4 - 3 + c - 7 + k with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 2, -5, -1 in descending order.\nAnswer: 97, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 5*j + 13, -162*j = 4*z - 165*j - 35 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 1, l: 3, v: 9, i: 1, f: 1}. What is prob of sequence xllv?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttntptnntvnppttnnht. What is prob of sequence ppnp?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 4*g**2 - g - 2. Let s be c(2). Let k = -121.8 + 122. Let h = -122\/5 + 24. What is the closest to h in s, -4\/5, k?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 16}. What is prob of picking 2 i and 1 g?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -5, 2\/313, 3\/14 in ascending order.\nAnswer: -5, -0.02, 2\/313, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 15. Let s be c(0). Suppose k + 4*k = s. Is (3 + -1)*2 + k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 31 - 36 = -q, 3*r + 2*q = 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-7))\/((-42)\/(-147)). Suppose 5*g + 0 = v, -2*x + g + 41 = 0. Calculate the smallest common multiple of x and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = z, 2*z = j + 4*z - 13. Solve -2*h + 10 = 3*o, -4*o - 2 = -10*h + j*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/17 in 0.07, 2\/15, -1, -0.11, -2\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Let s = 29.38 - 29. Let i = s + -0.08. Which is the third biggest value? (a) i (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*12\/(-16)*4. Let i(w) = w**3 + 7*w**2 + 5*w + 5. Suppose 0 = -0*h - 2*h + 40. What is the remainder when h is divided by i(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, h: 2, l: 4, m: 2}. What is prob of sequence lms?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, 8.\nAnswer: -2, 1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17826551\/300 - 59422. What is the common denominator of t and -89\/30?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-14) + 13\/52*-24\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*d = 3*s - 9, -3*s = -d + 17. Put -2, 2, s, 4 in decreasing order.\nAnswer: 4, 2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 13*m - 3*m. Calculate the remainder when m is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 2132032?\nAnswer: 2132101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7 + 1 + 1 + 1 + 8*n. Let y be 3 - 3 - -2 - 0. Let c(s) = 2*s - 1. Determine y*d(t) - 9*c(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Let b = 22 + k. Calculate the least common multiple of 10 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in -0.3, 25, 0.3, -1.437, -4\/7, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x**2 - 2*x + 5. Let t be m(-2). Sort t, 2, 5 in descending order.\nAnswer: t, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 913 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1148, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532928?\nAnswer: 2, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*r + 3*p = -569 + 53, -25 = 5*r - 5*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14382*g**3 - 119 + 246 + 3*g + 2*g**2 - 127.\nAnswer: -14382*g**3 + 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 339.681 from -6.\nAnswer: -345.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -aa - 4?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/696 and 13\/54.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -16 + 10. Which is the smallest value? (a) -4\/5 (b) -0.29 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 386 or 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4399 and 27719.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -163*f**2 + 27. Let n(h) = 109*h**2 - 18. Let r(t) = -2*b(t) - 3*n(t). Let a be (-16)\/(-9) + 4\/18. Let i(u) = -2*u**2 - u**a + 8*u**2. Give r(i(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 15*k - 14. Let s(y) = 16*y**2 + 75*y + 71. Let u(t) = 11*j(t) + 2*s(t). Suppose 2*g - 108 = 20*g. What is the tens digit of u(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782092.\nAnswer: 2, 23, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)\/(24\/(-96)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1146 + 1150. Suppose -b - 96 = -3*b. Suppose 568 = 3*f + 4*z, 3*f = t*z + b + 488. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) 8 (c) -0.072 (d) -3\/5 (e) -1050\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1359 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29385*c**3 + 2760*c**3 + 38562*c - 38562*c)*(0*c + 3*c - 4*c) to the form p + a*c**3 + h*c**2 + s*c + r*c**4 and give r.\nAnswer: 26625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15e01 (base 15) to base 9\nAnswer: -116821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1232 and 32?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -78, -132, -200, -276, -354, -428?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/66094100 and 107\/145407020.\nAnswer: 727035100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3235552 (base 6) to base 4.\nAnswer: -213032330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 2*w - 10. Let n be (3\/2)\/(w\/4). Suppose 0 = -5*f - 5*y + 925, -n*f + 2*y + 642 = 77. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**6\/5 - h**2\/2 - 2*h + 6. Let g(m) be the first derivative of k(m). What is the derivative of g(r) wrt r?\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 2184048.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and 20341830066516.\nAnswer: 20341830066516.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15480 divided by -3870\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1942 divided by -39.\nAnswer: -1942\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4\/7 + 91956*s**3\/7 - 151011456*s**2 + 301970368*s = 0?\nAnswer: 0, 2, 22988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -11705, 0.1, 12, 1.\nAnswer: -11705, -2\/11, 0.1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45 + 3\/2*f**4 - 213\/2*f + 159\/2*f**2 - 39\/2*f**3.\nAnswer: 3*(f - 6)*(f - 5)*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1603 to two decimal places.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222103100 (base 4) to base 7.\nAnswer: 5633452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-5.31143.\nAnswer: -10.62286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41232 - -29274. Round l to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -7, 2 in increasing order.\nAnswer: -7, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 8. Let i = z + -11. Suppose 3*n + 12 = i, 5*n + 165 = 5*p + 40. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 765174733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0 = 5. What is the common denominator of -39\/16 and 2010\/(-225)*10\/(-16)*t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -4. Let b = -16 - -16. Let f = 189 - 189.5. What is the closest to w in -0.4, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 6*m - 2. Suppose -4 = -5*k + 11. Let r be n(k). Suppose j = -5*y + 57, 0*y + 2*j + r = y. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 1. Let n be u(-1). Let d = 9 - 1. What is the units digit of (n\/4)\/(2\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -228 + 296 - (54 - 12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*sqrt(57)\/sqrt(3) + (sqrt(38) - (sqrt(38)*1 + sqrt(38)))\/sqrt(2))*6.\nAnswer: 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**5 + 568*d**4 - 2104*d**3 - 14592*d**2 + 32220*d + 124200 = 0.\nAnswer: -3, 5, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 288454482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2262 * 10574.\nAnswer: 23918388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9882305 is divided by 3294101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (-2 + -4 + sqrt(272) + sqrt(1700)*-2)*2.\nAnswer: -32*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.690332357 to 2 decimal places.\nAnswer: 1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 42 = -3*c. Let z be c\/8 + 2\/(-8). Suppose 0 = -2*o + 15 + 15. What is the greatest common divisor of o and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/7)*d)**(-8\/13))**(4\/3) assuming d is positive.\nAnswer: d**(-512\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:42 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*46322.06\nAnswer: -46322.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 plus -0.2347?\nAnswer: -0.1447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218*k**2 + 31800 - 31800 to the form p*k**2 + n + g*k and give p.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 840580.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, y: 7, q: 3, p: 1}. What is prob of picking 3 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2936 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -256, -360, -474, -592?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34625\/3 not equal to 11541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/((-13)\/(-117)). Let c(s) = -6*s**2 + 2 - 2*s**3 - t - 2*s - 3*s. List the prime factors of c(-4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 1598, 3527, 6228, 9701, 13946, 18963?\nAnswer: 24752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 8*m + 0*m)*(61*m**4 - 3*m**4 + 41*m**4).\nAnswer: 594*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -43. Let a be 2\/(-4)*-4 - 2. Put v, a, -1 in increasing order.\nAnswer: v, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.2226 - -0.0969758807.\nAnswer: -38.1256241193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2)*-2 + 4. Suppose 3*f - 9 = b. Suppose 8 = -d + 5*d. Solve 5*j + 2*h = -28, 0 = -d*j + 3*j + f*h + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**3 + 3*p**4 - p**2 - 3*p**3 - p**4 to the form k*p**3 + z*p**2 + v*p**4 + t + l*p and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of ((-24)\/(-18))\/((-10)\/(-6)) + 35613864\/1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15192230 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 2*x - 1. Let w be q(1). Let r be (-10)\/(-3*(-1)\/(-36)). What is the remainder when (r\/(-50))\/(w\/10) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-7) + (-12)\/42. Suppose -k - 4*n - 18 = -3*k, 3*k - 12 = n. Sort k, -4, t.\nAnswer: t, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 216978.16 - 4.\nAnswer: 216974.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i - 1 - 11292*i**4 - 345*i**2 + 824*i**2 - 364*i**2 wrt i.\nAnswer: -271008*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -5 + 0*v**4 - 23\/6*v**3 - 97\/20*v**5 - 3\/2*v**2 - v. What is the second derivative of n(j) wrt j?\nAnswer: -582*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - 77 - (1 - (-3 + 19 + 0)) - 61.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/462 and 121\/12348.\nAnswer: 135828","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 5. Let w(i) = i**3 - 5. Let b be w(0). Is 5 a factor of a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*q + 2422 = q, 0 = -2*s + 5*q + 4844. Let a = s - -2847. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -303928.98 and 163.8.\nAnswer: -303765.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 366, 1489, 3360, 5979, 9346, 13461, 18324?\n\"Answer: 374*h**2 + h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 m when four letters picked without replacement from mwmvmwwvw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -67, -16.\nAnswer: -67, -16, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (6 + -10 + 2)) + 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 2*i + 97. Let t = i + 36. What are the prime factors of (-11)\/(t\/(-288))*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/12 + 5*i. Let a(v) = -2*v - 2. Let l(f) = 6*f + 7. Let m(o) = -7*a(o) - 2*l(o). Determine t(m(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*v + 5 = -3*v - 2*v, 16*v = 13*v + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 - 8601*x**2 - 34365*x - 25767 = 0. What is x?\nAnswer: -2863, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/4 + 429*a**4\/2 - 9215*a**3 - 429*a**2\/2 + 36859*a\/4 = 0. Calculate a.\nAnswer: -899, -1, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2.5, 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4090736 - 34?\nAnswer: 4090702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1845 and 146985?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 39.4*0.023681\nAnswer: 0.9330314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 41*u + 88. Let s be o(19). Solve 48*w = s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*c + 3*c + 3*c)*(-5 + 2 + 2)*(-6 + 80 - 23).\nAnswer: -51*c - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*4\/(-8)*-1. Suppose 0*y + 35 = 5*y. Let h = y + c. Solve -4*w + 3*w - 2*n + h = 0, 0 = -3*w - 4*n + 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x - 5. Find the common denominator of 1\/(-3) - (-1030)\/660 and 274\/420 - -1 - x\/40.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9945822*c*s**2 + 2*c*s + 7115635*s**2 wrt c?\nAnswer: -9945822*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -97. Let v be (-4)\/(-14) + (-329)\/i. Solve -v - 2 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 13856\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199934 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*3*1)\/sqrt(6).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -6. Suppose x = 4*h - 5*h. Let g(i) = -i**3 + i - 2. Let v be g(0). What is the second biggest value in h, 1, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 987 and 84.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 170221 divided by -199\nAnswer: -170221\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -6*i - 4. Suppose -5*r - 64 - 126 = 4*v, 2*r + i*v + 78 = 0. Let n = 39 + r. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -31. Let d = -37 + c. Solve -19 = -d*j + 5*f + 9, f = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170293105 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -520 divided by 5?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84595?\nAnswer: 5, 7, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 12*b - 6. Let m be o(-5). Suppose 0 = m*l + 8, t - 5*l - 220 - 47 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 40. Let f(w) = -41*w. What is r(f(t))?\nAnswer: -5043*t**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 6*l - 3 + l + 5 + 5033*l**3 + 2. Is y(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Suppose 5*i - 140 = t, -b*t = -5*i - 44 + 189. Let w = -11 + i. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/72 - (-4)\/(-48)*4. What is the third biggest value in y, 1, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24.0419, 3, 8 in increasing order.\nAnswer: -24.0419, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.08289 - 0.08289. Let z = 0.3 - 0.1. What is the third biggest value in 11, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*k - 8, -6*k + 15 = -9*k. Solve 0 = -o - o - 2*l - 18, 3*l = -i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4714*n + 4696*n + 4708*n - 14168*n.\nAnswer: -50*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 369*a**3 + 54 - 19971*a + 19969*a.\nAnswer: 369*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/20 + k**4\/4 + 3*k. Let x be g(2). Suppose -256 + 44 = -x*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 6*n + 7*h - 20, 5*n + n + 9*h - 76 = 11*h for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*u - u + 3*v, -1 = -v. Let c(y) be the first derivative of 1\/2*y**2 + 0*y - 1. Let b(f) = -2*f**2 + 4*f. What is u*c(q) - b(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7, 0, 0.6, -0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -10. Suppose -4*q + p*q = 91. Let v = -32 - q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9542157 and 36.\nAnswer: 114505884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -187318*(2 - 120\/48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0 = -18. Let m be -18*-3*1\/f. What is the tens digit of 48\/m*(-153)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1, -3, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 3287 - 14943*u**2 + 29897*u**2 - 14954*u**2 as y + q*u**3 + b*u + v*u**2 and give y.\nAnswer: 3287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -0*g + 2*g. Suppose r = 2*r - g. Let b be (2\/6)\/(2\/42). Calculate the greatest common divisor of r and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5036*q + 11249*q - 6228*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r - n - 45 = 17*r, 15 = r - n for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15845 or 0.5?\nAnswer: 15845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 6*s + 5. Let h be c(6). Suppose h*b + 3*q - 62 = 0, 3 - 41 = -3*b - 2*q. What is the smallest common multiple of b and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 33 - 24. Let l(y) be the second derivative of y**8\/1344 - y**6\/720 - y**4\/12 + y. Let d(r) be the third derivative of l(r). Calculate d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3246649 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 * -4\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*2\/(-6))\/(10\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 9*b**3 + 5*b**3 - 5*b)*(18 + 45 + 21)*(-3*b + 5*b + 0*b).\nAnswer: -504*b**4 - 840*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4372 - 4001. Which is smaller: g or 1858\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -297294165535 from 15.\nAnswer: 297294165550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 6 (c) -4 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0179219 rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**8\/36960 + q**7\/6930 - q**6\/1320 + q**4\/2 - 14*q**2. Let o(v) be the second derivative of h(v). Factor o(c).\nAnswer: 2*c*(c - 1)*(c + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*a - 0*u + u, 5*a - 4*u + 45 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 9962 = -43894. Does 34 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69, 52, 37, 24, 13, 4, -3?\n\"Answer: b**2 - 20*b + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245 + -248. Calculate the common denominator of (-1)\/y*2673\/(-432) and 143\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 48 = -3. Let s be (f\/(-20))\/(3\/12). Which is greater: 1\/5 or s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 66. Suppose 5*y - 8 = y, -s*y = b - 4. Let c be (-19563)\/b - 1 - (-16)\/64. What is c rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -509884355.6 and -0.094306.\nAnswer: -509884355.694306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2599788 is divided by 858?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 104. Solve -29*t - i = 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 + 0 = -2*d, -4*d + 16 = -4*h. Is h + 3848\/11 - 80\/(-440) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 34. Suppose -y + 4 = -c. What is the second derivative of -i - i - 23*i**5 + y*i**5 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21418, 28302, 35184, 42064, 48942, 55818?\n\"Answer: -q**2 + 6887*q + 14532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-191 - -196) + (4 + -2 - -5) + 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299 + 300. Solve 2*w = -k + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25317 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44348 divided by 6.\nAnswer: 22174\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22089 - 15891. What is the highest common factor of 18 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:28 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2137 is divided by 684?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2128 = j, 2*q = -2*j + 2952 + 1320. Let s = j - 1275. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 + 3924*j**2. Let y(o) = 242*o - 3. What is y(l(q))?\nAnswer: -242*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7*m + 15. Let g(u) = 12*u - 1. Let n be g(1). Let h = n - m. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874264047?\nAnswer: 3, 291421349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -40*q**3 - q**2 - 2*q - 1. List the prime factors of c(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -224 + 230. Suppose 2*f + 8 = j - f, 0 = -j - 4*f - t. Let p be 37\/(-7) + (-2)\/(-7). Which is the third biggest value? (a) -2\/17 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 5. Let q(i) = 2*i**2 + 20*i - 20. Let v be q(-11). Suppose v = -2*o, 3*l - 4*l + 11 = -4*o. What is h(l)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149688 and 112140?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 10)\/((-9)\/1). Which is the nearest to -2\/3? (a) -15 (b) 1\/4 (c) s (d) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424 - -2?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1163*y - 1162*y - 68 - 1110*y + 3429*y.\nAnswer: -6*y - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 247873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from ookzfzfzpzpkzzz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -23. Which is the closest to 1\/3? (a) l (b) -2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905763 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Let f = 7.5 - 8. What is the closest to -0.2 in f, -4, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/53756, -2\/5, -3 in ascending order.\nAnswer: -3, -2\/5, 1\/53756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 300?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -57*r - 5108. Let h be o(-92). Suppose -3*w = 4*s - 86, 2*w + 3*s = -3*w + 158. Calculate the highest common factor of h and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 41 - 62 - (3 + 7).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1159*o - 1159*o + 6*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2098, 8413, 18928, 33631, 52510, 75553, 102748?\nAnswer: 134083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*u + 3*u. Suppose 31 = u*o - 3*x, -o - 2*o - x + 19 = 0. Let s = -846 - -870. What is the greatest common factor of o and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 - -1706\/11. Suppose 4*p + 12 = -0*p. What is the nearest to -0.2 in -1\/6, t, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611 (base 12) to base 13.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-3 - -7) + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(56\/21) - (-43)\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000269252291 rounded to 7 dps?\nAnswer: 0.0000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1661, 1660, 1659, 1658, 1657?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385745*g + s = -385749*g + 17, 14*g + 3*s = 51 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8206235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2978 is divided by 296?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6875, 13577, 20195, 26723, 33155?\nAnswer: 39485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4569 < -4570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -485*n + 1990. What is the remainder when 224 is divided by l(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 14714834*s**2 - 25*s**3 - 14714834*s**2 + 8*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 2. Let j(u) = -1. Let m(d) = -2*j(d) + t(d). Suppose -5*h = -4 - 1. Let n be 0\/(h*(2 + -1)). Determine m(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 853*q - 1210*q - 6069 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -0.1781\nAnswer: 2.1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117830331 and 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 989 - 989.4. Which is the second biggest value? (a) 5 (b) -0.2 (c) o (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1136*g**3*u - 68*g**3 + g**2*u + 7*g**2 + 3*g - 6829*u wrt g?\nAnswer: 6816*u - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 2 - 3*b**2 - b**2 + 36*b - 4*b**2 + 10*b**2 to j + a*b + o*b**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -532*((-36)\/9)\/(-2). Let b = y - -564. What is b rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1 - -2)*6\/4. Suppose 4*q + q = 3*d - 1, 2*d + m*q - 7 = 0. Find the third derivative of 5*j**2 + j**2 + 4*j**2 - 12*j**5 + 2*j**d wrt j.\nAnswer: -720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.50942 rounded to three dps?\nAnswer: -3.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p - 6. Calculate f(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f**2 + 36*f - 779. Let d(q) = -27*q**2 + 66*q - 1559. Let h(w) = 3*d(w) - 5*r(w). Differentiate h(z) with respect to z.\nAnswer: -32*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 125553 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, a: 1, r: 3}. Give prob of sequence rras.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 31839 and 1468045.617.\nAnswer: 1499884.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*a - 55 = 0, 6*h - h - 4*a = 46. Let j(f) = -f**2 + 10*f + 19. What is the remainder when 149 is divided by j(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**2 - 51679*w + 41064 wrt w.\nAnswer: -4*w - 51679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 83611?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 102 = 3*w, 4*w - 136 = -7*u + 2*u. Calculate the least common multiple of 85 and w.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20791100 to the nearest 10000.\nAnswer: 20790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7. Let i(p) = -p + 1. What is -6*i(a) - q(a)?\nAnswer: a**2 + 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 4*r - 7*r to l*r + w and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - 12700\/(-300))\/(818\/(-270) - (-8 - -5)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 421, 428, 447, 484, 545, 636, 763?\n\"Answer: p**3 + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 35*y + 21 - 18*y - 15*y - 6. Let q(j) = j - 6. Let f(p) = p**2 - p + 1. Let v be f(-2). What is v*l(k) + 2*q(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 321*d - 384. What is the thousands digit of l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38, -26, 98, 418, 1018, 1982, 3394?\n\"Answer: 14*v**3 - 28*v**2 - 2*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 43*n - 6. Let x(l) = 17. Let g(t) = -29*t + 89. Let v(s) = -g(s) + 5*x(s). What is -5*r(q) + 8*v(q)?\nAnswer: 17*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -84. Let q be (2\/18)\/(-12*37\/334332). Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f - 5*o + 30, 5*o - 17955 + 17931 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1015 - 1015 - 36*v**2 in the form f*v**2 + u*v + g and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -37*a**2 - 25*a + 23. Let f be s(1). Suppose 2*n = n + 79. Let g = n + f. What is the highest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -63, 273, 2 in descending order.\nAnswer: 273, 2, 0, -22, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5595, 4007, 2421, 837, -745, -2325?\nAnswer: -3903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) -5 (b) -0.1 (c) 4\/9 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/14 + 872\/(-438). Let j = v - -193\/2847. What is the biggest value in 0.1, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -822 rounded to the nearest 10?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 2:52 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-515*14\/20*74\/259)\/(-1).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 504*l**3 - 3*l**2. Let k(j) = 482833*j**3 - 2873*j**2. Calculate 6*k(o) - 5746*w(o).\nAnswer: 1014*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*c = -104, -52*i + 49*i - 5*c + 78 = 0. Let r = -266 + 409. Calculate the greatest common divisor of i and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -105. Let n = a + 101. Let g = 57.2 - n. What is g rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 5, f: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 78. What is the remainder when 45 is divided by ((-280)\/16 + 1)\/(1\/g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.281, 854, 4, -22, 0?\nAnswer: 854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -30*u + 30. Solve -u*t - 20 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.7 - -14.5. Which is the closest to f? (a) -1 (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -42*f + 124982. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = -126357 - 2343743. What is f rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a099 (base 14) in base 5?\nAnswer: 1340300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 26. Let w(j) = -3 + 3 - 11*j**2 - 4*j**3 + 12*j**3 - 9 - 7*j**3 + 17*j. Is w(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57574 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(396)*4.\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 - 6*g - 5. Let y be b(6). Is y greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/7 and (24\/(-8316)*-133)\/(58\/3)?\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (1 - 9)\/(11\/(-44)). Suppose -14 = q*i - 35*i. Solve 2*v = -i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 - 0.4. Let k = -5 + b. Let y = 5\/44 - 167\/308. Is y less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 - 5147?\nAnswer: -5103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyy when three letters picked without replacement from kyeyyyykykeyyyyyy?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.1 + -21.852. Let l = y - 0.048. Let g = 687\/5 + -137. Which is the second biggest value? (a) l (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 13*k**3\/3 - k**2\/2 - k - 235. Let g = 2 - 3. Calculate the remainder when 51 is divided by n(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 - 3*h**3 - 3*h**2 + 7*h + 6 = 0. Calculate h.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 17. Let v = 7 - k. Calculate the remainder when 39 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 10. Let p(y) = -10*y. Calculate a(p(f)).\nAnswer: -20*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 214*x**2 - 421*x - 91. Give v(-105).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -48*s**2 - 124*s**2 - 62*s**2. Let z(r) be the second derivative of r**3\/6 - 90328*r. What is z(o(k))?\nAnswer: -234*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 1, q: 4, w: 2, g: 1}. What is prob of sequence qqg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-25))\/((-2)\/300). What is the tens digit of (-6)\/16 + 41445\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 123\/4, 2, -0.12, -4, 0.01?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 407004?\nAnswer: 4477044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*x**5 - 12*x**3 + 6*x**2 - 127*x wrt x?\nAnswer: -2400*x**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-25)\/(-10))*(-6)\/(-15). Which is smaller: -2\/121 or f?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 588202810?\nAnswer: 588202811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57082?\nAnswer: 2, 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -57*k**3 - 346*k**2 - 19*k + 17. Calculate x(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 9, -4*u = -2*y + 494. What is the highest common factor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - ((-254)\/46 - -3). Let x = -962 - -962. Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -821240 by -127.\nAnswer: 821240\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/168 and 139\/11550?\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*1)**2*2 - (sqrt(102) - (sqrt(102) - (1*((sqrt(102)*2 - sqrt(102)) + sqrt(102) + sqrt(102)) + sqrt(102))))\/sqrt(6).\nAnswer: -4*sqrt(17) + 1666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 143258, 1, 2 in ascending order.\nAnswer: -4, -3, 1, 2, 143258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**8\/42 + i**5\/10 + 3*i**2. What is the third derivative of j(h) wrt h?\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -85, -326, -799, -1582?\n\"Answer: -13*s**3 + s**2 + s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llhb when four letters picked without replacement from {l: 7, g: 1, h: 5, u: 1, b: 2}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -178234, -178188, -178142?\n\"Answer: 46*a - 178280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109494\/25 or 4379?\nAnswer: 109494\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -259, -2\/3, 452\/13 in ascending order.\nAnswer: -259, -2\/3, 452\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f = -32. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8514 and 49961700.\nAnswer: 549578700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(252)\/(sqrt(24)\/sqrt(2)) - sqrt(525)*-2)\/(((1*sqrt(288))\/sqrt(12))\/(-1*sqrt(32))).\nAnswer: -22*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*w**3 - 116*w**3 + 52*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1*sqrt(5) + sqrt(15)\/sqrt(3)*3)*4)**2.\nAnswer: 384*sqrt(5) + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/9 - 8776*x\/9 + 807272\/9 = 0.\nAnswer: 94, 4294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 20 = 4*o - 0*o, 4*o - 116 = -124 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 1, r: 1, p: 3, w: 1, g: 3}. Give prob of sequence ak.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - y**2 + 1. Let q be f(-1). Suppose 0*g + q*g = 0. What are the prime factors of 12 + 3\/(-9)*g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 47. What is the fourth smallest value in 0.3, i, -0.2, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/6)\/4)\/(60\/(-45))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102, 207, 312?\n\"Answer: 105*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930 is divided by -1 + 26 + ((-49)\/7 - -3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -7 - -9 - 3) + 33?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let m(z) = 289*z. Determine o(m(j)).\nAnswer: 289*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -1360, -3494, -6980, -12106?\nAnswer: -19160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-9))\/((-3)\/(-9)). Let q(k) = k**3 - 9*k**2 - 7*k + 1. Is q(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 188, 180, 174, 170, 168?\n\"Answer: r**2 - 11*r + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -5*z**4\/4 - 110*z**3\/3 + 655*z**2\/2 - 540*z - 660. Find a, given that u(a) = 0.\nAnswer: -27, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 8:27 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 21*l**2 + 2*l. Let u be w(1). Let m = 24 - u. Solve -2*p - 5 = -m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 9*w**2 - 13*w + 33. Let d be p(10). Let l be (1 - 4)*((-128)\/d)\/4. Let a = l + -27. What is the smallest common multiple of 6 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 7 - (5 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(847)*-6.\nAnswer: -330*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 78\/6*-1 + 16 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9166008*u = -9166058*u - 4300 for u.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 - ((-12)\/1)\/(-4). Let d = p - -321. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4199 is divided by 355.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31711 is divided by 157?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/21 + (522\/27 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3530194118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 + 166 - 166)*(0*c - 9 + 2*c + 2*c**2 + 40 + (2 - 2*c - 2)*(2*c + 0*c - 3*c)) to the form q*c**2 + n*c + p + v*c**3 + m*c**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4 - 16*h**3 - 1179*h**2 - 2306*h - 1144 = 0?\nAnswer: -26, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18438779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:35 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2. Let u(v) = -24*v**2 - 44*v**2 + 85*v**2. Determine u(i(t)).\nAnswer: 153*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80914601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q + 2*c - 38 = 0, -27 = -4*q - 5*c. Let x be (-6)\/q - (-62)\/8. Find the second derivative of 0*l - 12*l**2 + x*l + 36 - 36 wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4 = 0, -9*x + 6*x = g - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21050114959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 833363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -15*o, z - 5*o = -65. Let h = z - -79. Solve 0 = -5*a + h - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -365588.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 204 = -2*i, -2*x + 183 = x + 5*i. What is the smallest common multiple of x and 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 0. Suppose 5*s - 2*g + 80 = h, 0*g - 16 = s - 3*g. Find the common denominator of (-326)\/104 + (-4)\/s and 15\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115352, -230695, -346038, -461381, -576724?\nAnswer: -692067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 0)*(-4 + 3 + 0)*(-2 + 79*y**3 - 209*y**3 - 381*y**3).\nAnswer: -2555*y**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 525 + -70. Is p a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 9:54 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Suppose 15 = -r + 13. Let q be k(r). Is 923 - 9\/3 - q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:59 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2962 - -2405. Is q greater than or equal to -557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 64 = -81. Suppose -k*a = -12*a - 15. Let o(d) = d**3 - 11*d**2 + 17*d + 11. Let y be o(9). Solve -a*c + y*c - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 8063\nAnswer: 4\/8063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:42 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t + 71. Let q(m) = -10*m + 80. Let h(w) = 8*q(w) - 9*x(w). Let l(r) = 22*r**3 - 6*r - 6. Calculate 6*h(s) + l(s).\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Suppose 5 = 5*u - 0. Suppose -4*w + 5*w = -a + u, -5*w = -a - 23. Let j(z) = 0*z - 4*z - 4 + w. Determine m(j(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -11*a. Suppose a = -u - 27 + 130. Let d = u - 45. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13339084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895 = -3*d + x, x + 131 = d - 170. Calculate the highest common divisor of d and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -15*q**4\/4 - 2*q**3\/3 + q**2\/2 - 25*q. Let v be c(3). Is ((-153)\/(-2))\/3*v\/(-39) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5*-1 + (-10 - -645 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 620958 and 3?\nAnswer: 1862874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -444*z**2 - z - 786*z**2 + z to l*z + h + o*z**2 and give o.\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-691 + 404 - 4*x + 375)*(-16*x - 40*x - 23*x) to s + b*x + n*x**2 and give b.\nAnswer: -6952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**5 + 0*z**2 + 0*z**3 + 0 + 2\/3*z**6 + 15*z + 5\/12*z**4. What is the third derivative of c(t) wrt t?\nAnswer: 480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1951 + -0.1936296. What is a rounded to five decimal places?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 - 15*m**2 - 7*m**4 + 2 + 1 wrt m?\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + (13 - 6) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*l = 464*l + 481*l + 30957 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3756848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7))**2*-2*-1.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*r**4 - 4254072*r**3\/5 - 4329444*r**2\/5 + 8435072*r\/5 + 147984\/5 = 0.\nAnswer: -2, -2\/115, 1, 9249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-253)\/23 + (-9)\/(-6)*4. Suppose -2*b - 2*f = 0, f + f = -4*b. Let x(l) = 7*l - 3*l - 4*l**2 - l**3 - 4 + b. What is x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 + 11*k**2 - 2*k + 4. Let z(i) = 3*i**3 - 12*i**2 + 2*i - 3. Determine 2*s(x) + 3*z(x).\nAnswer: -x**3 - 14*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.81258 months to centuries.\nAnswer: 0.07817715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from {e: 2, b: 1, t: 2, c: 1, o: 1, w: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = 2*p - 5*h, 5*p - 30 = -5*h. Suppose -x = -p*x + 10. Solve -2*a + x*v = 0, 2*a + a - 3*v = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10\/(-1) - 2124\/(-177) - 1*-1814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 26.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x. Suppose 0 = 2*u + 2*q - 10, 2*u = -u - 4*q + 15. Suppose -5*i - 3*a - 7 = 8, u*a + 25 = i. Let t(j) = i*j + j + 0*j + j. Determine t(v(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-7)*-2)\/((-4)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4383881 divided by 11?\nAnswer: 4383881\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -5 - (-5 + 5)\/(-34))\/(-25)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 1, z: 1, n: 1, g: 1, c: 2}. Give prob of picking 1 g and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*i = -50, -4*r - 107*i = -108*i - 19. Put 1, r, -30, -4, 2 in descending order.\nAnswer: r, 2, 1, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10*z**2 - 7*z**2 - 4*z**2 + 3*z**2 + 0*z**2. Let k(r) be the second derivative of r**3 - r. Calculate k(c(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22352 plus 467?\nAnswer: 22819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*n**3 + 74*n**3 - 175*n**3 + 56*n**3.\nAnswer: 45*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -326935 or -980803\/3?\nAnswer: -980803\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719455139?\nAnswer: 13, 4257131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-12) - (-54)\/8. Let d = 0 + x. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/21728 and -13\/4.\nAnswer: 21728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 153.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20808454 + 5391546 = 2*r. Round r to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 425992 and 238.\nAnswer: 7241864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllcllcllllcll. What is prob of sequence cccl?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 2592?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-15)*d)*d)\/d)**(-7\/6)\/((d*d*d*d*d**19)\/d)**12 assuming d is positive.\nAnswer: d**(-563\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -1 (b) -263 (c) 2\/17 (d) -1\/42 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 4 (b) -0.5 (c) 146938\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -44. Let r(m) = 15*m + 23*m - d*m**2 - 38*m. Let s(a) = 3*a. Give r(s(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 4)*(-5*v**2 - v + v + 2) in the form h*v + m*v**2 + t and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 + 241 = 2*s - 9*g, 0 = 4*s + 4*g - 156 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t - 21. Let r be w(-3). Let c be ((-6)\/(-27))\/((-6)\/(-27)*r). What is the closest to 1 in c, 0.07, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*s**2 + 413 - 413)*(87*s**2 + 44 - 87*s**2 + s**3).\nAnswer: -38*s**5 - 1672*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.310586 tonnes to nanograms.\nAnswer: 8310586000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -14, 4, 20, -112, 2 in increasing order.\nAnswer: -112, -14, -5, -3, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:36 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278014.5 hours to days.\nAnswer: 11583.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*s**3 + (-s**2 - 3*s**2 + 3*s**2)*(s - s + 2*s) + 5*s**3 - s**3 - 3*s - 2*s**3.\nAnswer: -2*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2426*s + 4859. Determine b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 19 + 15. Solve -w*g - 1 = p + 8, 2*p + 5*g + 21 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/195*10\/(-1). Let u(x) = -x**2 + 3*x + 4 - 1 - 1. Determine u(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23664 and 10440754.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence titr when four letters picked without replacement from {r: 6, z: 1, t: 3, i: 7, j: 2}?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*h - 38 = 141*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*z - 10, 6*z + v - 2112 = -2120 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.024873 * 0.5.\nAnswer: 2.0124365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - p + 3 - 5 = 0, -2*p = -5*v - 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -35. Suppose 0 = -16*b + 14*b + o. Suppose 6*u - u = -5, 3*q - b*u = 83. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 17. Let x be m(5). Suppose -4*g = -4*q + g - 3, -3*g - x = 5*q. Sort q, -5, 2 in ascending order.\nAnswer: -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37309 - q**3 - q - 43*q**4 + q**3 + 3*q + 37338 in the form z + u*q**2 + b*q**3 + m*q + j*q**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from {i: 1, y: 7, f: 12}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-2)\/(-2)*1. Let q be 7*g*4\/14. Find the second derivative of 7*m**3 + q*m - m**3 - 3*m**3 + m wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113289 + 450997\/4. Let u = -11031\/20 - w. Find the common denominator of u and 3 + (-602)\/(-26) - 28\/182.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 591.942 - 76.832. Let u = m - -39.09. Round u to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7861 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 11 + 18*x + 6 - 15*x**2 - 7*x. Suppose -16*d + 12*d = -64. Is l(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 617773 + -2?\nAnswer: 617771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -18. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, -231, 13537.\nAnswer: -231, -4, -3, -1, 13537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0 - 4. Let p be 6*((-2)\/(-1))\/q. Factor 0*v + 0 + 6\/11*v**4 - 4\/11*v**2 + 2\/11*v**p.\nAnswer: 2*v**2*(v + 1)*(3*v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*u**3 - 12*u**2 - 2*u*x - 1055*x wrt u?\nAnswer: 27*u**2 - 24*u - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgcwcwwwgwgc. What is prob of picking 2 w?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 82. Let p = u - 38. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220012 - 11212120?\nAnswer: -10222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 300129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:11 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13128 - -13123. Which is the fifth biggest value? (a) -8 (b) 0.1 (c) 0.2 (d) u (e) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6*(-30)\/(-65). Is i > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -c - 1, -4*c + 4 = -2*s. Suppose -2*m - 3*t = 2*m - 68, 2*t - 34 = -c*m. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1100)*-1 + sqrt(1100)) + (1 + sqrt(1584))**2 + (sqrt(44)\/sqrt(4) + -2)**2)*-6.\nAnswer: -9600 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*a - 2*y - 27, 0 = -a + 2*y + 9. Let w(z) = -3*z + 2. Let x(c) = -c. Let r(j) = 5*j**2 - 39*j - 6. Let v be r(8). What is a*w(s) + v*x(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a century?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(sqrt(136) - sqrt(136)*-2)*3)\/(sqrt(8)*-3*-5 - (sqrt(8) + sqrt(8) + -2*sqrt(72) + sqrt(72))).\nAnswer: -27*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 4*m + 41, m - 291 = 5*k - 4*m - 221 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40098 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93611*r + 93655*r = 572 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/18)\/(2\/(-24)*-6). Let i = 8 + 6. Which is greater: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 4*o**2 + 2*o + 4. Let i = -15741 - -15738. What is b(i)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 1\/6?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*d - 4*d. Is (35 - d)*(4 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25033, -29604, -37225, -47896, -61617, -78388, -98209?\nAnswer: -121080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzycdaa. Give prob of sequence aay.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 793*b**5\/20 - 103*b**4\/6 - 101*b + 2. What is the third derivative of j(i) wrt i?\nAnswer: 4758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 - 0.03. Let w = 0.03 - -0.37. Let k = n + w. Which is the third smallest value? (a) k (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 + 12*i**2 - 4*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 430 - 457 = 4*a, 7*r + 4*a + 31 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1608077\/150 - 53607\/5. Find the common denominator of z and -181\/390.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1038)\/360 + 3 - 2\/(-15). Let k(x) be the second derivative of 0*x**2 + 0 + 3*x + q*x**4 + 0*x**3. Let l(a) = -2*a**2. Determine l(k(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 10*h**2 + 10*h - 1. Let o be s(-11). Let t(k) = 2*k**2 + k + 1. Is t(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 9:39 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:59 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 11*a + 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**2 + 1. Let g(p) be the third derivative of -p**4\/4 + 2*p**2. What is g(m(q))?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10245923785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 55044903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvea when four letters picked without replacement from vvvvvvvvvvevavvvvvv.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8208)\/(-95))\/9 - (-4)\/(-12)*57?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37468 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f**2 + f. Let k(p) = -p**3 + p**2 + 3*p + 5. What is k(y) - r(y)?\nAnswer: -2*y**3 + 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmys when four letters picked without replacement from {m: 2, y: 6, i: 1, w: 9, s: 1}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 366 and 366.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149\/4 + -37. Which is the nearest to 3? (a) 5 (b) s (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + -1.226. What is d rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1. Let r(s) = 26*s**2 + 3*s + 3. Determine -r(g) + 3*x(g).\nAnswer: -26*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2173 and 5924?\nAnswer: 12872852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -66.8666 (b) 26 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6786.2736 seconds?\nAnswer: 1.885076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 + 5 = 0. Let p = -8 - -10. Suppose -5*s = p*r - 17, -4*r + 2*r + 5*s = 13. Solve c = g + r - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1273 = -5*o + 1033, 3*w + 3*o = 6918. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Let b = 0 + 2. Let f(q) be the first derivative of 3 + 0*q + 0*q**b + 1\/3*q**3. Determine d(f(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -388 + 395 + 1 + -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/12300 and -47\/90?\nAnswer: 36900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w. Let b(v) be the first derivative of -5*v**3\/3 + 3. Give b(n(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13478 and 4768774.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101487*d**6 - 482*d**2 - 83 wrt d.\nAnswer: -12178440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1.3 (c) -2417 (d) -11 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*l - l - 7*l + 2 - 2*l - 2 + (-l - 2 + 2)*(1 - 6 + 4))*(-1 + 2 - 2) as v + i*l and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukud when four letters picked without replacement from duuk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104203 - -4?\nAnswer: 104212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10744 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2974 + -2967. Solve -n*t + t - 24 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10344 (base 5) in base 15?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.0453 * -1.81\nAnswer: 1.891993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2155 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 14*g + 4 = 0. Suppose -g*p + v = -107 - 1021, -5*v = p - 575. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 4*p**2 + 0*p + 0*p**5 + 0*p**3 + 1\/6*p**4 + 0 + 1\/60*p**6. Find the second derivative of w(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let j(f) = 7458*f + 119330. Let i be j(-16). Solve -i*g + 2*r + 1 - 7 = 0, 0 = l*g + 4*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24922)\/(-34) - (-32)\/(2 + 2) is divided by 71?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3082*i - 117. Let g be s(14). Suppose -6*c = g - 122441. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 17.754.\nAnswer: 18.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*r + 5*k, -8 = -5*r + 3*k + 7. Suppose -o - 4*q + 5 + r = 0, q = -5*o + 17. Find the second derivative of -l**3 - l**o - 3*l + 2*l wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 4\/(-6)*(-36)\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-62 + 76 + (-8 - -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - -3. Suppose 8*o = u + 360. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = 6. Suppose 5*n - 37 = 4*b - b, 3*b - 3 = y. Suppose u + 2*v = n, -6*u + 3*u + 5*v + 2 = 0. What is the greatest common factor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738 = 559*k - 518*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w. Let k(p) = 32 + 2*p**2 - 32. Determine k(n(g)).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22777062.\nAnswer: 2, 3, 7, 11, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 48. Let p(j) = j**3 + 7*j**2 - j - 1. Calculate p(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(90)\/sqrt(2) - sqrt(45))\/sqrt(9) + (sqrt(5) + sqrt(5) + (sqrt(5) - sqrt(45))**2)*6 + 4 + sqrt(15)\/sqrt(3) + 5 + sqrt(45)\/(-1*sqrt(9)).\nAnswer: 12*sqrt(5) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69598436 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 816302.6 millilitres?\nAnswer: 816.3026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307489633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 - 65344?\nAnswer: -65476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 + -15?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71102 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25246*c**2*h**4 + 45*c**2 - 2*c*h**4 - 5271*c*h**2 wrt h?\nAnswer: 605904*c**2*h - 48*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 279*c**3*p - c**2*p**2 - 6*c*p**2 + 3*c*p - 3*c wrt c?\nAnswer: 1674*c*p - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 667.003508.\nAnswer: 667.403508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 4. Let m be r(6). What is the remainder when 25 is divided by (m + -1)\/((-5)\/(-70))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02236 - -32.83236. Let o = -34.6 + v. Let h = o - -1.5. What is h rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(36))\/sqrt(12) + 4.\nAnswer: 4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 6:51 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 95*y - 2865. Let n be v(-21). Is n equal to -303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78*(-4 - -6*4\/8). Let n be (t\/(-52))\/(3\/16). Let u(o) = o + 6. Let f be u(6). Solve 0 = -4*i + f + n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318156*o**2 - 7*o**3 - 318153*o**2 + 636309*o**2.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(192) + 4)**2 - sqrt(192) - 6*(sqrt(192) - -3*sqrt(192))**2.\nAnswer: -17808 + 184*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4, 17808 in decreasing order.\nAnswer: 17808, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -0.12. Let s = m - 0.29. What is the closest to 2\/7 in -5, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2*t**2 + 25. Let p(l) = -2*l - 6*l - 4*l. What is p(v(g))?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5010\/330 + 2\/11*-1. Let f = 17065\/2496 + -3\/832. Calculate the common denominator of 7\/(35\/w)*9\/(-4) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 1 = -k. Let o = 272 - 176. Let c be ((-8)\/o)\/((-9)\/12). Is c at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47.3 - -49. Let o = 1.7 - s. Let a be (-1)\/1 + (-8)\/(-6). What is the closest to a in 3, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 - 99 - (-2 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 660 or -1.2?\nAnswer: 660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 - 9*v**2 + v. Let o(q) = -5*q**3 + 10*q**2 - 2*q. Let z(a) = -6*f(a) - 5*o(a). Suppose -3*u = -2 + 14. Determine z(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*d - 2*d - 24, 3*d + 57 = -4*k. Let q be (-1 - -96)*(-24)\/d. Suppose 3*n = 11*n - q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 23465 = -6*m. Suppose 3*r = -3*b + 5*b - m, -b + 622 = 3*r. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 437*d**2*l**3 + 2*d**2*l**2 + 888*d**2*l + d*l**3 wrt l?\nAnswer: 2622*d**2*l + 4*d**2 + 6*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170 - 24*y**2 - 170)*(y - 2*y + 2*y).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 144. Suppose 4*h + 5*u - i = 0, 3*u + 21 = -0*h + h. Is 25 a factor of ((-4)\/h)\/((-2)\/110)*27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -644764.71 and 2.\nAnswer: -1289529.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 344*q**2 + 10*q - 65. Is u(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.68 times 5?\nAnswer: -128.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 2*z**2 + 6*z**2 + 625*z + 2*z**2.\nAnswer: z**2 + 625*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024571 rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 465069 and 75.\nAnswer: 11626725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303419*f**2*k + 3*f*k - 12*k + 258 wrt f.\nAnswer: 606838*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43 + (-3 - 8) + 14\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 76\/33, -0.1, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32313231002 - 2131?\nAnswer: 32313222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-18 + 3 + (-38 - -45)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1614*n**2 + 150. Let z(x) = -202*x. Give p(z(v)).\nAnswer: -65857656*v**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1002223*f**2 + 4*f - 5. Let i = 151 - 148. Let y be t(i). What is y rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387\/7 <= 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 1 (b) -4 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfzaajlzfaaaadd. What is prob of sequence dz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/7))**30*j**(5\/3)\/j**(-2\/3) assuming j is positive.\nAnswer: j**(499\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 570 + -575. Let z = -5 - 17. Which is the third biggest value? (a) 2 (b) 0 (c) p (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**2 - 5*y - 5. Let l(z) = -2 - 3*z**2 + 0*z**2 + 3*z**2 - 2*z + 3*z**2. Let i(m) = -2*c(m) + 5*l(m). Let d(w) = -7*w**2. Determine d(i(r)).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 2 + 9\/(-2). Let k = 11.08 - 10.98. Which is the biggest value? (a) k (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-38 - 1 - (23 + -18))) + (2 - 6).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19387261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 0.2 (c) 3\/707044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 32\/19*i**3 - 4\/19*i**2 - 28\/19*i**4 - 6\/19*i + 0 + 6\/19*i**5 = 0.\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 70*q + 7954. What is the remainder when 280 is divided by c(-60)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose v - 100 = -c*v. Suppose 3*u + h - 60 = -2*h, 3*h = 5*u - v. Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213908489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 62*o**2 + 22 - 52 + 10.\nAnswer: -62*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 - 3*t**2 - t**2)*((2 - 2*t - 2)*(-3*t + 4*t + t) + (0*t + 3*t - t)*(1 + 9 + 6)*(-3 - t + 3)) to l*t**4 + i*t + q*t**3 + z + m*t**2 and give l.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 - 72*k**2 - 67*k - 303. Let q(v) = v**3 + 24*v**2 + 22*v + 102. Let y(g) = 2*o(g) + 7*q(g). Calculate y(25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 0, 3, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*l - 19 = -0*n, -2*l - 10 = 0. Let k be 4\/(-10) + (-85)\/(-25). Suppose -k + 9 = t. Put n, t, 0 in ascending order.\nAnswer: 0, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 185, -193, -1307, -3403, -6727, -11525?\nAnswer: -18043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3899 - 3901. Put 9, a, -1, 2 in decreasing order.\nAnswer: 9, 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -11616151?\nAnswer: 11616153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 63*r**4\/4 - 68*r + 220. What is the derivative of v(h) wrt h?\nAnswer: 189*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 14\/((-6)\/(-3)). Let r be v\/(-6)*(-15)\/(-5). Let n be (1\/(-2))\/(r\/72). What is the highest common divisor of n and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 15*p**2 - 30*p - 224. Let w be u(-14). Suppose w + 2*m + 5\/2*m**4 - 3\/2*m**3 - 5\/2*m**2 - 1\/2*m**5 = 0. Calculate m.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**2 - 5*p + 1. Let k(w) = -11*w**2 - 11*w + 2. Let u = -16 + 7. What is u*v(r) + 4*k(r)?\nAnswer: r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724 = 268*m + 1956 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2842, -5, 2\/45, -23, -0.2?\nAnswer: 2842","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 684 and -0.3?\nAnswer: -205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -12*f + s, s + 112 = 5*f + 6*s - 43 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0 + w + 3\/2*w**2 - 5\/2*w**3 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 4 - (-5 - 7). Solve c*j + j - 40 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -89\/295?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -16*j - 6. Let p(k) = -6 + 4 + 6 + k**2 - 3. Let y(f) = -h(f) + p(f). Let c be y(-17). Calculate the greatest common divisor of 96 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-1872)*26)\/(2\/48)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83761?\nAnswer: 83761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/((sqrt(175) - ((sqrt(175) - (sqrt(175) + sqrt(175)*-1)) + sqrt(175))) + sqrt(175) - sqrt(7)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p**28\/p)\/(p\/(p\/(((p\/(p*p**(-16)))\/p)\/p)))**(1\/8))**(2\/5) assuming p is positive.\nAnswer: p**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023820 is divided by 57.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/12 - 1\/(-6). Suppose 10 = d*f + 2*a, 4*a - 17 = -5*f + 3. Solve 0 = -f*g + g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + -1 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3293, 3276, 3253, 3224?\n\"Answer: -3*j**2 - 8*j + 3304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - o - 2. Let p be f(1). Find the common denominator of 3\/2*(-29 - -5)\/p and -23\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = r, 3*p - 4*r + 24 = 4. Let o be (p\/2)\/((-14)\/119). Solve 3*g = -5 + o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39670*t - 45 + 91 - 46.\nAnswer: 39670*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16*y**2 + 17*y + 60. What is c(-5)?\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*y - 49 = -17 - 70, -5*i = -64*y - 620 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 47*c - 15*c**2 + 17*c - c**3 - 15 - 13*c. Does 3 divide t(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 5*c + c - 6*c**3 + 3*c**3 + 2*c**3. Let a be b(-3). Solve q = -p, 4*q + 0*q = 2*p - a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 322*n + 4620 - 817 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 9*z + 37.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*a + 130*a + 3661 = -960 + 111 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 + 19*n**3 - 86*n**3 + 2*n**3.\nAnswer: -57*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.264, -19.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4\/5 (c) -86\/73 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -260 + 252 - (3 - 3 - (47 + 2))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321 (base 6) to base 4.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/12*(-4)\/(-2). Suppose -2*t = -0*t - h*i + 1, -3*t + 15 = i. Suppose -3*c = -t*c. Put -0.3, c, -5 in increasing order.\nAnswer: -5, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21\/4 + -6. Put 51, -1, k in decreasing order.\nAnswer: 51, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by 7\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 7*x**5\/60 - x**3 - 3*x**2. What is the derivative of q(g) wrt g?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(27) + 5 + 5 + ((sqrt(252) - ((sqrt(252) - -1*sqrt(252)) + sqrt(252)))\/sqrt(7))\/sqrt(12)*1.\nAnswer: sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**3 + 477*v - 2 - 477*v.\nAnswer: 18*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3400928 and 5216.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (924\/33)\/1568 - 5889\/(-37128)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3007*x**2 - 192454*x + 383. Give b(64).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/64)\/(-1*2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/5*z + 2\/5*z**2 + 32\/5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 53*j - 1. Let i be g(-13). Suppose 8*c = i + 578. What is the greatest common divisor of c and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 2. Let n(p) = p**2 + 11*p - 4. Let a be n(-12). Let k(f) = f**2 - 10*f + 9. Let r be k(a). Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/(-7) - (-42)\/(-147). What are the prime factors of 26\/1 + a\/(-12)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 71 + 41)*(-140*v + 37448 - 37448)*(4*v**2 + 12 - 12).\nAnswer: -29680*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2188 - -2179.14. What is b rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + u = 6, -5*i - 5*u - 14 = -2*i. Suppose -5*z = -i - 8. Solve -z*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3462792, -3462773, -3462736, -3462675, -3462584?\nAnswer: -3462457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 400349452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z + 1435. What is the smallest common multiple of q(-79) and 90?\nAnswer: 23580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182045*k**3 - 59*k + 29 wrt k.\nAnswer: -1092270*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.012? (a) 7 (b) -4 (c) 0.3 (d) 4 (e) -0.23135\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:53 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liii when four letters picked without replacement from lillliibb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-10 + 0 + 18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 227015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 24 = 5*l. Let s be (0 - 0)\/(1 - 2). Let r = -0.3 + 0.2. Which is the second biggest value? (a) s (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46711\/9 + -5198. Put 4\/9, f, -3\/5 in decreasing order.\nAnswer: 4\/9, -3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -5, -6 in descending order.\nAnswer: -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7324 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(684) - sqrt(19)) + -4))**2 + -5.\nAnswer: -640*sqrt(19) + 7851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723 is divided by 291.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -623971 and 0.2?\nAnswer: -124794.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 12:32 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 + (-22097)\/(-171). Let p = -141 + j. Let m be ((-51)\/2 + 0)*p\/9. What is the greatest common factor of m and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61127 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -3*r**2\/2 + 3*r - 2. Let d = 16 + -15. Let b(c) = c**2 + c - 1. Let i(q) = d*b(q) + y(q). What is i(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - m - 11 = 0, -29*m = 4*s - 25*m + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02973675 and -2?\nAnswer: 1.97026325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91852869.\nAnswer: 3, 23, 53, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3948 in -4, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6998950 or 6998955?\nAnswer: 6998950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*g**2*h**3 + 1058*a*g**2*h**2 + a*g*h - 3*a*g + 2*g**2 - 512*g*h wrt h?\nAnswer: 6*a*g**2*h + 2116*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -46. Let g = -217 + 216. Let k = x - g. Sort 0.5, k, -7, 5.\nAnswer: -7, 0.5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -22*x + 229. Suppose -25763 = -x*n - 7475. What are the prime factors of n?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(-8\/5)*j**(-1)*(j**4*j)\/(j\/(j\/(j**17\/j))) assuming j is positive.\nAnswer: j**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 2040243?\nAnswer: 2040235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -48*h - 79. Determine g(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6895 is divided by 571.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 785019 + -785025.300048. Let i = w - -6.3. What is i rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*l = 2*l - 2, 4*l = 20. Let x(f) = -f**3 + 7*f**2 - 9*f + 19. Let z be x(i). Which is greater: z or -2\/119?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46396 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*o - 6, -21*o = -23*o - k - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-49)\/(-9555))\/(((-8)\/(-10))\/2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g. Let l be x(1). Is 6 a factor of 2 + 1 + l + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3077 - 3041 + 6203 - t**2 - 5*t + (7*t - 2*t - 3*t)*(t - 4*t + 2*t) - 2*t**2 + 0*t**2 + t**2.\nAnswer: -4*t**2 - 5*t + 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12120300 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2355 and 1413.\nAnswer: 7065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*b + 117, 0 = -2*s - 2*b - 62 + 16. Let r = -15 - s. What is the remainder when 18 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -683? (a) 5 (b) -0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + 2*h - 2. Let z(x) = -4*x**2 + 3*x - 2. Let j = 51 + -49. Calculate j*z(i) - 3*b(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + g - 2 = -1249*l + 1244*l, -5*g - 19 + 34 + 41 = 41*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*i - 97, 2*i = -2 - 4. Solve 2*s + b = -3*j + 1, 5*s = 5*j + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 7351.17?\nAnswer: 7353.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-17)\/((-4)\/((-32)\/(-4))) is divided by (2 + -8)\/(4\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12\/187 + -2\/11. Suppose -7*p - 124 = -250. Let n be (-5)\/14 - (-9)\/p. What is the fourth smallest value in 0.5, 3\/4, n, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*h - 0. Let d be (-158)\/16 - (7 + (-385)\/56). What is the tens digit of 3 + 6\/h*d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1968101 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*x**4 + 802135684 + 238*x**3 + 13481272*x + 84966*x**2.\nAnswer: (x + 238)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12783373.581 take away -0.3?\nAnswer: -12783373.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, 3, -2\/18967, -5?\nAnswer: -2\/18967","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13924 is divided by 730?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n = -2727 + 1831 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 166987*h**2*y + 8*h**2 - 2279338*y wrt h?\nAnswer: 333974*h*y + 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -18, -38, -66?\n\"Answer: -4*u**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/34 + (-26052)\/(-221). Let a = 127 - n. Solve -4*d - l + 7 = -a, -d = -3*l + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517 + 543 + (377\/(-15) - 1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 769*g**2 - 4. Let q be i(3). Let m = q - 152147\/22. Calculate the common denominator of m and 73\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t**2 - 1. Let j(s) = 5*s**3 - 5*s - 6. Let x(o) = 4*b(o) - j(o). Let m be x(-5). Factor -3*f**3 + f**3 + 2*f**m + f - f**3.\nAnswer: -f*(f - 1)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3248.807ug?\nAnswer: 3248807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(3\/48*-4). Suppose -n + 9 + 0 = 0. What is the first derivative of 10*t**2 - 25*t**p + n + 9*t**2 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from lrlvlllvrll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -764 - -773. Let p(q) = -13*q**3 + 4*q - 5. Let b(k) be the second derivative of 0*k**4 + k + 0 - 1\/3*k**3 + 3\/10*k**5 + k**2. Give c*b(m) + 4*p(m).\nAnswer: 2*m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012679393 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61 + 3970\/65)*(-1025 - 2))\/1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:52 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -17970.8 to the nearest one hundred.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-702)\/(-39)*(-30)\/135?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1415475186 to the nearest integer?\nAnswer: 37623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -225*d**2\/2 - 3565. Let x(y) = -4*y + 4. Give z(x(h)).\nAnswer: 900*h - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 26. Suppose -14*h = 55*h - 276. What is the lowest common multiple of s and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872759369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -322, -719, -1810, -3943, -7466?\n\"Answer: -58*t**3 + t**2 + 6*t - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/545)\/(15\/800 + 0). Is 1 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/869 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 14*q**2 + 9. Let r be p(-14). Suppose -2*c - 5*c = -14. Solve -c*t + 3 = -v - r, 3*t = 4*v + 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1136 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + 7*n - 14*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*g*m**3*t**2 - g*m*t + g - 2*m**3 - 812*m**2*t - 179*t**2 wrt t?\nAnswer: 82*g*m**3 - 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047 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: Collect the terms in 7110*n - 1 + 12 - 11.\nAnswer: 7110*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 1225*g - 619852. Calculate r(1610).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 73 + -13 - (86 + -66)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*v - 7759 = -8728 - 4587 - 8913 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26487 - -26487. Let 0 - 8\/19*k**3 - 2\/19*k**2 + g*k = 0. Calculate k.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2389103, -4778228, -7167361, -9556502?\nAnswer: -11945651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 53*t**2 + 189*t - 444. Calculate s(-57).\nAnswer: 1779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4869 divided by 42.\nAnswer: -1623\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1. Let x be 2\/6 + (-38)\/6. Let o(j) be the first derivative of 2*j + 21 - 1\/2*j**2. Calculate x*n(f) + 3*o(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/16 - (-25)\/4. Solve 0 = -2*b + l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 16, -43, -116, -197, -280, -359?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*-2 + 5 - ((sqrt(8064)*-1)\/sqrt(8))**2) + -5 + 3.\nAnswer: -1005 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19)*-1 + 4).\nAnswer: -24 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, 15, 0, -0.2 in decreasing order.\nAnswer: 15, 3, 0, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.3. Let i = 2 + k. Let a = 2.001 - i. What is a rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**3 - 423*q**2 - 2*q - 12. Let b(a) = 9*a**3 - 1266*a**2 - 6*a - 34. What is -6*b(i) + 17*s(i)?\nAnswer: -3*i**3 + 405*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(3)*-6 + sqrt(22))\/(sqrt(2) + (sqrt(2) + sqrt(18))*6) + -4)**2.\nAnswer: 8*sqrt(11)\/5 + 411\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9354*z + 9453*z + 891 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 8, j: 4, s: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/4 - 433945*x**2\/2 - 867891*x\/4 = 0.\nAnswer: -1, 0, 867891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - 5*h - 13*h + 24*h + 18. Let i be o(-12). Solve -6 = u + u + g, -u = 2*g + i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -65, 4, 7, 19, -5 in increasing order.\nAnswer: -65, -5, 2, 4, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/294 and 25\/28.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Which is smaller: 4\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 4*u. Let n be r(3). Suppose -3 = 3*o - n. Let g be 0 + o\/(-3) + 2. Which is greater: -2\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from {w: 7, c: 2, d: 2, m: 4, j: 2}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 528 (b) -1009 (c) 1 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/4 + 152572*g + 23278215184 = 0.\nAnswer: -305144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13459 - -21472. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101988465.\nAnswer: 3, 5, 37, 183763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1612 + 4*a**2 - 35*a**2 - 526 - 545 - 541.\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g + 1. Let c(h) = 3*h + 1. Give c(d) - 2*v(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -3 (c) 83 (d) -2\/13 (e) 1\/138 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:48 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 57*m + 2*m**3 - 38*m - 9 - 17*m**2 - 36*m. Calculate the remainder when q(10) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*p - 50*p**2 - 126*p + 65*p - 172*p.\nAnswer: -50*p**2 - 534*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:06 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x**3 + x**2 + 2*x + 1. Let m be q(-1). Is 6\/15 + 1486\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*v = 14380 + 74618. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(4\/(-6)). Put m, 5, -8 in decreasing order.\nAnswer: 5, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -984000 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:44 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48, -424, -1440, -3414, -6664, -11508, -18264?\n\"Answer: -53*g**3 - 2*g**2 + g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -14 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1019a31 + -5?\nAnswer: -1019a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9317675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -0.5, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -895 - -1791\/2. What is the nearest to x in 24, 3, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 2*y**3\/3 + 37. Let j(p) = p**2 + 7*p. Determine r(j(z)).\nAnswer: 2*z**4 + 28*z**3 + 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 601345968 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 4*a**3 - 13*a**2\/2 - 12*a. Differentiate b(u) with respect to u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423412 + 1?\nAnswer: 423413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 11*x - 6. Let t(j) = j**2 - 9*j + 4. Give 7*t(k) + 6*z(k).\nAnswer: k**2 + 3*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 + 199*u - 19. Determine n(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 18*c + 6. Let z = -13 + 30. Let u be s(z). Let t(f) = -f**3 - 12*f**2 - 18*f + 20. What is the units digit of t(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - w + 8. Suppose -8 = -0*h + 4*h. Let v be (0 + 0)*(-1)\/h. Calculate s(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.3 - -6.3. Which is the nearest to -131? (a) -1\/7 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 - 1 = -2*i, -2*s + 5*i + 69 = 0. Let h = s - 5. Solve -5*o - 5 = -5*c, -3*o + 0*c + h = c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3302*t**3 + 322*t**2 - 651564*t + 16 wrt t?\nAnswer: -19812*t + 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3\/3 - 3*a**2\/2 - 9*a + 3. What is the remainder when i(8) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 0, 3, 5, -14 in descending order.\nAnswer: 95, 5, 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/15*(-2416 - -3). Let p = m + 969. Let q = -561 + 2195\/4. Find the common denominator of p and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11249 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -2 (b) 0.5 (c) -851 (d) -0.7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -5061?\nAnswer: -5066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/6 - 8*c**3\/3 - 8*c**2 - 896*c. Give w(-10).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n + 5*p - 56 = 20*n, -3*n + 74 = 5*p for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = q + 3*l + 24, l + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -1\/5*g**5 + 1\/2*g**4 + g - g**2 - 10 + 0*g**3. Find a such that h(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7799145 + 2729480. Let g = -5069727.999216 - k. Let q = 63 + g. Round q to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*o + 3 = -3*a, 0 = 5*a + 10*o + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 24645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -84580, -3\/7, -153 in descending order.\nAnswer: -0.1, -3\/7, -153, -84580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 942\/1413 - (-2192)\/6. Solve r*p - 373*p + 28 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(2\/(-8)). Suppose -4*d + 3*h - 13 - 7 = 0, -3*h = 5*d - 2. What is the biggest value in d, -2\/13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -767.706408 rounded to 2 dps?\nAnswer: -767.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1168 + -1171. Which is the biggest value? (a) z (b) 0 (c) 3\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*d - 6491 + 7091 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -109, 1, -0.1, -53?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 14. Let w = -1 - u. Solve -w*i - 4*g = -25, -2*i + 2*g = i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 5. Let x be l(0). Let b(u) = 17999*u - 5. Let d be b(x). Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 859302827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31481?\nAnswer: 31481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by -1*(46 + -7)*(-2 - -1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.933581 litres to millilitres.\nAnswer: 3933.581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -4*g + 375. Let h be (-690)\/g + 2\/(-10). What is the remainder when 98 is divided by 6\/(-4)*(-150)\/h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-73)\/8979*-82*(-1428)\/(-7)\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 82427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 8*s - 30. Let j be c(3). Let l(b) = -b**2 + 2*b - 1. Let x be 2 - 1 - -2 - 2. Let r be l(x). Solve r = 2*w + j*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 + 8024*m\/15 + 8048072\/15.\nAnswer: 2*(m + 2006)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 83211918 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 4\/5, -65, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 77 + 49 = -47 + 179 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -58. Let k(u) = -3*u + u + 0*u + 4*u. Calculate the remainder when s is divided by k(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 41*a**3\/2 - 3*a**2 - 7*a. Let k be h(2). Let u = k - -171. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.829796 to 3 decimal places.\nAnswer: -8.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29291\/318 + 3\/53. Let h = z + -161\/3. What is the common denominator of (-150)\/(-18)*(-3)\/2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/7 (b) -1\/158 (c) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -60, -80, -132, -234, -404, -660, -1020, -1502?\n\"Answer: -3*r**3 + 2*r**2 - 5*r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -23\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93644672 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 7:17 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4335084556 to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l**2 + 8*l - 9. Determine w(4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -398 + 395. Let z(b) be the first derivative of -b**2 + 2*b + 1. Give z(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 14 = s + 6, -24 = -4*a + 3*s. Let d be (-1)\/(((-336)\/(-57))\/2 - a). Solve 5*f + d = -6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a129 - 2?\nAnswer: -1a130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 104.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k - 100 = 0. Suppose -1 = s, -3*r = -5*s - 3 - 2. Suppose r = i - 0*i. Solve -3*l - 6 = 3*g, -l - k = -5*g - i*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (-3*sqrt(200)\/sqrt(10) - sqrt(20)))\/(sqrt(110)\/(5*sqrt(11))))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 164 = -659. What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/3, 21\/8, -0.02 in descending order.\nAnswer: 21\/8, 1\/3, -0.02, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.26 + -0.259306. What is i rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2535 in 2, -3, 59?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -24*r**3 + 19*r**2. Let w(n) = 6*n**3 - 5*n**2. What is 9*w(x) + 2*y(x)?\nAnswer: 6*x**3 - 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 5*y + 20. Let l(g) = 7*g + 68. Let v be l(-11). What is the remainder when t(v) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000958 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 12 + 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.37474588 - 0.06484922. Let u = -0.4399 - z. Round u to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 10. Give y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-2) + -5)*-1. Let d(a) = a**3 - 4*a**2 + 2*a + 2. Calculate d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6*o + 24 = -4*o, 4 = 2*o. Let w be 5\/(-3 - (-806)\/268). Calculate the highest common divisor of w and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 228\/847 - -2\/121. What is the nearest to q in -0.1, 0.1, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 49, 5, 8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, s: 1, w: 3, r: 8, d: 2}. What is prob of picking 2 w, 1 s, and 1 l?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*c - 20 - 1, 3*c + 3 = 5*q. Let o(f) = -2*f**2 - f. Let n(s) = -3*s**2 - 3*s. Let z(y) = q*n(y) - 5*o(y). Calculate z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 less than -1\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 1176 = 3*l + 10*g, -3 = g. Find the common denominator of -61\/134 and (-100)\/14*385\/l.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*l, 0 = -5*b + 6*l - 9*l + 27226. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4084*y + 2. Let h(b) = b. Give p(h(x)).\nAnswer: -4084*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 226359 and 670 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 24 - 10 = 0. Solve 2*n - 2*k - 6 = 0, -v = 2*n + 3*k + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(176)*-5 - (((sqrt(704) + sqrt(44))\/sqrt(4))**2 - 1*sqrt(275)).\nAnswer: -275 - 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4 (c) -19\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 2500 and -12.3329805.\nAnswer: 2487.6670195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1386475 - 0.4?\nAnswer: -0.5386475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/(sqrt(2) + sqrt(6)\/(sqrt(9)\/sqrt(3))) + sqrt(156)\/(-6*sqrt(84)\/sqrt(7)))*6)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2. Let a(z) be the first derivative of z**6\/180 + 5*z**3\/3 + 3. Let o(p) be the third derivative of a(p). What is o(h(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33483 less than 32541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 23*k - 12. Let m be a(5). Let w(v) = -v**2 + 5*v + 15. Let x(j) = 2*j + 7. What is m*w(t) + 5*x(t)?\nAnswer: 2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-225) + (-32)\/(-144)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:53 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -37, -35?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -5 (c) 2\/33 (d) 0 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 + l**4 + 0*l**2 - 2087*l - 2 + 2089*l + (2*l**3 - 3*l**3 + 0*l**3)*(4*l - 3*l - 2*l).\nAnswer: 2*l**4 + 3*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(((j*j**(-5)*j)\/j)\/j*j))\/j)\/(j**(-19)*j) assuming j is positive.\nAnswer: j**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.5 - 37.63. Let s = -2 - v. Let y = s + 2.47. Round y to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1108 divided by -1108\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1067, -3913, -8661, -15311, -23863, -34317, -46673?\n\"Answer: -951*y**2 + 7*y - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4434, -4438, -4450, -4476, -4522, -4594, -4698?\nAnswer: -4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -62*u + 441. Let d be r(7). Solve -5*l - d*s + 2*s - 10 = 0, -4*s = 5*l + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - 24. Calculate the common denominator of -26 + 15 + (-5924)\/(-568) and u.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1.7. Let c = -3 - 3. Let t = -10 - c. What is the biggest value in 3, t, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -680*r. Let v(l) = -2*l**2 - 10378*l - 5. Give v(y(q)).\nAnswer: -924800*q**2 + 7057040*q - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 617*t**2 + 9238*t - 9238*t to the form s + k*t**2 + c*t and give k.\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341107941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5*(-8)\/(-140))\/(-2). What is the nearest to 5 in 3, 0, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*u, -l - 2*l - 2*u = 0. Let v be (2 + l)\/(3*1). Suppose -117*c + 160 + 323 + 102 = 0. What is the third smallest value in 1, c, v, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594937, 594936, 594935, 594934?\nAnswer: 594933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3644484?\nAnswer: 2, 3, 31, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.1, -5, -195 in increasing order.\nAnswer: -195, -5, -0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**3 + 110*f**2 + 100*f - 120.\nAnswer: 5*(f + 2)*(f + 6)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8 and 41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 5. Let b be (-6)\/3 - (25\/(-5))\/5. Does 8 divide (-1 - b - (y + 9)) + 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*v**5 - 5*v**5 - v**5 + (-6 + 2 + 2)*(-2*v**4 - 2*v**5 + 2*v**4).\nAnswer: 48*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -460579931 + 3?\nAnswer: -460579928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 2*z - 94, p - 5*p - 40 = 80*z - 80*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 740.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/567)\/(1\/(-3))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14519\/135 < -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {k: 1, r: 1, v: 1, x: 1, c: 1, e: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 19*r + 607. Let f be n(-32). What is the smallest value in 15\/4, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8 - -4) + (1 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, t: 12}. What is prob of picking 1 t and 2 x?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -37.2 bigger than -4\/1289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/4 + 3*m - 1.\nAnswer: -(m - 2)*(5*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 - 9*s**3 - 15*s**3.\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + g. Suppose -11*s + 10*s - 6 = g. Is 23*9 - 24\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20039070?\nAnswer: 2, 3, 5, 131, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13996, 1, -3, -4, 65 in increasing order.\nAnswer: -4, -3, 1, 65, 13996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*t = -4*a + 91, 5*t - 63 = -a. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 8*l**2 + 5. Let h(n) = -2*n**3 + 7*n**2 - n + 5. Let u(i) = -4*h(i) + 3*m(i). Let k be u(-5). Is 6 a factor of 6*-2*(-1 - k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-75)*1745\/2094.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -2.4. Let z be (-2 - -3)\/(6 + -7). Which is the biggest value? (a) z (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 2*i - 8. Let v(y) = 2*y**2 + 2*y + 7. Suppose -37*t = -m - 32*t - 15, -5*t = 5*m - 45. What is m*v(r) + 4*z(r)?\nAnswer: -2*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9871 + -9867. Which is the closest to 0.1? (a) n (b) -4 (c) 358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.4 (b) -3 (c) 9\/2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 + 8 - (0 + -10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 h when four letters picked without replacement from {u: 1, n: 1, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-12) - 0) + 0\/(-8). What is the fourth smallest value in 1, -3, 5\/2, n?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3996 = -26*o. Calculate the remainder when o is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338 - 41806.\nAnswer: -41468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 7*f**2 - 3*f - 11. Suppose 0 = -l + 7, 49*r + 50 = 48*r + 8*l. Give v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414030?\nAnswer: 2, 3, 5, 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 3, x: 3, c: 2, u: 3, o: 2}. What is prob of picking 1 l, 1 c, and 1 j?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 7*t**2 + 18*t**2 + 23 - 65.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-81)\/(-1701))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**7*g*g*g*g)\/(g*g**(-2\/9)))\/(g**(-1))**22 assuming g is positive.\nAnswer: g**(299\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5502290 divided by -1100458\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64\/183 - -1\/61. Let v = 22.4 - 22. Which is the nearest to 1? (a) k (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33763 (base 8) to base 10\nAnswer: -14323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1)**(-42)\/(d**4*d*d**(1\/12)) assuming d is positive.\nAnswer: d**(-1069\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.05, 1, -42?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsy when three letters picked without replacement from {y: 2, s: 2, d: 10}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-2) - 1)*1. Let v(q) = -q - 6. Let y(w) = -1. Let t(i) = 9. Let c(m) = -2*t(m) - 17*y(m). What is z*v(x) + 6*c(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 2 - 4*o + 2*o + (o + 3 - 3)*(2 - 4 + 4) - 2 + 2 - o in the form p*o + w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*351\/(-144)*(91 - 83)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5782590, -11565179, -17347768?\n\"Answer: -5782589*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 6*v + 7. Let k(y) = -2*y**2 + 12*y - 15. Let g(i) = -2*k(i) - 5*x(i). Let z be g(5). Solve -3*c - 3 = -z*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**5*w - 724190*b**4*w + 846893*b*w + w wrt b?\nAnswer: 120*b**3*w - 8690280*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4, -2*v + 4*l = 2*v - 8. Suppose p + 50 = 6*p. Calculate the remainder when p is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**2 - 11*s + 10. Calculate y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + -3*sqrt(21)*-2)\/((sqrt(27) + sqrt(3))*-3).\nAnswer: -7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 359 and 202117.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5691 + -0.5?\nAnswer: 5690.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 14) to base 7\nAnswer: -1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 446*l - 450. Let j be t(7). Calculate the highest common factor of 64 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 612.9 + -613. Is -38 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1246, -2459, -3672, -4885?\nAnswer: -6098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 6*h - 24 - 6, 3*h = 3*s - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - u**2 + 1 - u**3 + 1 + 2*u as k*u**2 + r*u**3 + s*u + z and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 1)\/(6\/(-12)). Differentiate 5*d - 1 + 4*d - 2*d - v*d with respect to d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1395)\/(-217) - -3*15\/(-350).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 2:32 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*l + 2*u + 60, l = u + 16. Let y be 5\/(-20) + l\/(-8). Let z be 4*(y\/6 - 0). Which is the third smallest value? (a) 2 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10115*u + 81207. Calculate b(8).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2\/3, 0.3, 4\/23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2717014*r**3 - 5804535*r**2.\nAnswer: -16302084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-837)\/186*(-4)\/3. Let g(d) = 3*d**3 - d**2 + d + 1. Let x(f) = -5*f**3 + 3*f**2 - 2*f - 3. Let i(j) = 5*g(j) + 2*x(j). Let z be i(1). Is l >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 7*h + 300. Let d = -74 - 22. Let f = h - d. Is f a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*t + 5*h = 297*t - 3, -19 = 3*t - h for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16\/32*(-2 - -10) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 351280*z + 351276.\nAnswer: 4*(z - 87819)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -39*y**2 + 159*y + 2. Let f(c) = c**2 - 3*c + 1. Let m(x) = -b(x) + 2*f(x). What is the second derivative of m(q) wrt q?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 1348, 3038, 5404, 8446, 12164?\nAnswer: 16558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 1}. What is prob of picking 1 m and 1 h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = -7*l. Let k = 18 - 13. Let u be ((4 - 7)\/(-3))\/(-1). Sort k, u, l in decreasing order.\nAnswer: k, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-28)\/(d**5*d**(-3))*(d**9\/d**10)**(-18) assuming d is positive.\nAnswer: d**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*q - 39 = 130*q + 45 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22669.46 millilitres?\nAnswer: 22.66946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21704 and 22312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 134*l - 128*l. Let n(j) = -j - 4. Let a be n(-4). Suppose -l*t + 5*t + 42 = a. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from towowcoot.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 38 - 7 = 0. Suppose -2*f = 3*j - 512, -i*f = -8 - 12. Suppose j = -c + 4*c. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 30. Let u be j(-14). Let v = u - -64. Sort v, -4\/5, -1\/6 in descending order.\nAnswer: v, -1\/6, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 67.44 and -0.5?\nAnswer: 67.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 6, 199, 1002 in decreasing order.\nAnswer: 1002, 199, 6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*o, q - 6*q + 17 = -4*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*b**2)*(-2655 + 2655 + 45*b**3).\nAnswer: -90*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c - 17 + 17.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14 (b) 0.5 (c) -9 (d) 0.3 (e) -1\/232 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43083*s**5 + s**4 - 16*s**3 + 27807*s**2 + 24*s wrt s?\nAnswer: 2584980*s**2 + 24*s - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4095)\/297*(-12)\/120 and 89\/228.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h\/h**2)\/h)\/h**(-2))**32*((h**(-2\/5))**21)**(-8\/11) assuming h is positive.\nAnswer: h**(3856\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n - 5*n + 103 + 3*n. What is the lowest common multiple of g(8) and 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaa when three letters picked without replacement from {k: 1, a: 2, q: 1, u: 1, h: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8\/15))\/(o*o*o*o\/(o*(o*o\/(o*o**(16\/7))*o*o)\/o)*o) assuming o is positive.\nAnswer: o**(-401\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of ((-5106)\/(-148))\/(6\/1648)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/24*12*1\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -9\/2, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 69*a**2 + 773*a + 20. What is r(55)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1883 - 1899. What is the closest to 1 in -1, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q + 3*q. Suppose -653 = b - 0*b - 3*z, b - q*z + 653 = 0. Is 3\/(-5 + 2)*b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 34*o**2. Let z(j) = j**2 - 1. What is v(z(u))?\nAnswer: 34*u**4 - 68*u**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 4*d - 9 + 14 - 3. What is g(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129.534? (a) -4 (b) 1\/3 (c) 0.078 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70 + -2?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -152, -320, -552, -848?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 + 0 - 2 - 167*r + 0.\nAnswer: -167*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 175*q - 7515. What is h(98)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40399226 and 1074.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -277313?\nAnswer: 277312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o + 4*n + 24, n = -o + 2. Suppose 13*b = -o*b + 2*b. Suppose 2*v + 3*p = 2*p + 24, b = 5*v + 5*p - 70. Solve 0 = -5*h + v - 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2811\/139 - -762429\/36835. Let k = -4\/53 + d. Which is the closest to k? (a) -2\/23 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - (-5 - -24)) + -9 + (-22 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + j + 2*j**2 + (0*j**2 + 4*j**2 - 6*j**2)*(-345 + 269 + 172) + 2*j - 2*j + j**2 in the form h*j + x*j**2 + s and give x.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**17*h\/(h*h*((((h*h*h**10\/h*h*h)\/h)\/h)\/h)\/h))\/((h\/h**(-3))\/(h*h*h*h**(-2\/49))) assuming h is positive.\nAnswer: h**(292\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = v, 3*v = 4*m - 9*m - 6. Let o be (2\/(-3 + -1))\/(60\/280). Is v < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*o - 3056, -4*o + 3*o + 2*c = -608. What is the remainder when 171 is divided by o\/90 + 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18886 and 1862?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25 + -23)\/(1 + -1 - -4). Let w = -40.98 + 41. What is the closest to w in d, 5, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(320)*3 + 5)**2*1.\nAnswer: 384*sqrt(5) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-12) - (0 - -3). Let o = 15.73 - 20.73. Which is the closest to -1? (a) 1\/7 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34918.\nAnswer: 2, 13, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 329446221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257 divided by 19.\nAnswer: -257\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.04703 * -0.065\nAnswer: -0.00305695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121584*c**3 - c**2 + 79*c + 258 wrt c.\nAnswer: -729504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -j - 9, 0*j = -2*g - 2*j - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 75.4 (b) 2\/5 (c) -0.02 (d) -0.2 (e) -194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 50, 4, -5, 58, -3 in increasing order.\nAnswer: -21, -5, -3, 3, 4, 50, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 r, and 1 e when four letters picked without replacement from nnrrernvgre?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.6981 (b) -5\/4 (c) -2\/15 (d) -2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 19*a**2 - 12*a - 17. What is the units digit of y(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 + (-110)\/(-45). Let k(j) = -j**2 - 4*j + 3. Let u be k(-4). Which is the third biggest value? (a) s (b) u (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by -12.\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*b - 6*b**2 - 50*b + 19*b + 14*b - 127*b**3 to d + r*b**2 + v*b + m*b**3 and give m.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7562511*x + 2. What is o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -105, -35 in decreasing order.\nAnswer: 31, -35, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 62462, 62185, 61722, 61073, 60238, 59217?\n\"Answer: -93*c**2 + 2*c + 62553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k\/k**(2\/11)*k)\/k)\/k*k)\/k**(6\/11)*(k\/(k**(-1\/3)*k)*k*k*k*k)**(-20\/3))\/((k\/(k*k*k**5*k*k))\/k**(3\/4))**(-3\/23) assuming k is positive.\nAnswer: k**(-261923\/9108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 3, 4 in descending order.\nAnswer: 4, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-17 + 548619)*(-2)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8517.\nAnswer: 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321370 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 + (-440)\/(-494). Let r = -5\/19 - w. Let a = -156.1 + 156. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -46 + -33 - 22?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 390 = 4*u. Is u <= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9) - 66\/(-9). Let q = 13 - u. Let v(m) = 2*m**2 - 7*m + 6. Is v(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7)*b)\/b*b**6)**(-5\/17) assuming b is positive.\nAnswer: b**(-220\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzdz when four letters picked without replacement from zzzddzdzzdzzzdzz?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*n - 19. Let z = -9 + 14. Let o = n - z. What is the lowest common multiple of o and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001001110 (base 2) in base 4?\nAnswer: 301032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105 - 103*v**2 + 110*v**2 - 52 - 480 to the form d*v**2 + y*v + t and give t.\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.6308 years to millennia.\nAnswer: 0.0546308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.409 times -0.21?\nAnswer: -0.08589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.1, -1, -3\/7 in increasing order.\nAnswer: -1, -3\/7, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 10*i - 7. Suppose -487 = 4*b - 3*r + 364, -2*b - r - 423 = 0. Let a be 795\/b*(-24)\/10. Determine x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*163143\nAnswer: -652572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2069*w**2 - 5*w**3 + 2069*w**2 + 2.\nAnswer: -5*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 33. Which is bigger: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2+796.096\nAnswer: 797.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/23))\/o**(-3)*(o**(-1))**(-43) assuming o is positive.\nAnswer: o**(1106\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.6 (c) 2\/3 (d) 3 (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.2 - -126.8. Let z = 142 - l. Let g = -56 + 55. Which is the smallest value? (a) z (b) -4\/21 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1687562792 and 37\/2.\nAnswer: 1687562792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28192 and 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (18\/24)\/((-21)\/(-55524))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 415767*y**4 + 2*y**2 + 104*y - 891 wrt y.\nAnswer: 9978408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b - 15 = 0. Is ((-170)\/(-6))\/(b\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-4 + 0 + 5)*(5*r - 11 + 11) to the form c + i*r and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7829 > -7817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(52)*1 + -3.\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07 and -6071?\nAnswer: 6071.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let q(z) = -150*z**2. Give q(w(b)).\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/226947 and 14\/303909.\nAnswer: 227627841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = 0, -5*s = -0*s + b - 15. Suppose 5*l = -f + 3617, s*l + 163 = -3*f + 1602. List the prime factors of l.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14833b6 (base 15) to base 10.\nAnswer: 14844096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 83*g**2 + 1219*g + 508. What is f(-64)?\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/7)\/1 + 3. Which is the third biggest value? (a) -2\/5 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 + 8*w**2 + 18*w**2 + 21*w**3.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 61*l + 232. Determine z(57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -3*t + 43, -16 - 31 = -2*t - 24*i - 5 + 12 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 12 - 17 - 15 + 55 - 17 - 2*x - 12.\nAnswer: -2*x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.024, 4568 in descending order.\nAnswer: 4568, -0.024, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z**3 - 8*z**3 - 4*z**2 - 2*z**4 + (-2*z**2 + 2*z**3 + 2*z**2)*(-5*z + 2*z + z).\nAnswer: -6*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + -1001?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*y + 18 = 0, -y - 3*y + 24 = 2*g. Factor 2*d**4 + 18*d**2 + g - 3 - 20*d**3 + 1.\nAnswer: 2*d**2*(d - 9)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1820660497, 1820660496, 1820660495?\n\"Answer: -v + 1820660498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.82219355045 + 4.\nAnswer: -1.82219355045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.74402 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 11. Suppose -3*t + 2*d + 8 = -11, -4*d + 2 = 2*t. Suppose -8*l + 39 = -t*l. Calculate the remainder when o(9) is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-4) - (75 + 1326\/(-12))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/44*(470\/28 + (-4)\/14). Solve -4*m - 4*i - 3 = -3*m, i + k = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(4\/(-2)) + 1. Suppose 0 = 4*g - c - 2. Let r(s) = -2*s + 1. Let j be r(g). Is j at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154540 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 23687, -43, 2 in decreasing order.\nAnswer: 23687, 2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133211007*o*x**2 - 2*o*x - 20*x - 94413 wrt x.\nAnswer: 266422014*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*u**3 - 7*u**2 + 41*u - 1.\nAnswer: 852*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 104383*21\/(-2 + 5). Suppose -2*k = 3*u + 962041, 1282726 = -4*u + 5*k - 3*k. Let t = u + w. What is t rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61803954?\nAnswer: 2, 3, 3433553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 13*y**2 - 35\/24*y**4 + 0*y + 0*y**3 + 1\/24*y**6 + 0 - 1\/2*y**5. Find i, given that s(i) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 4)*(97*l - 97*l + 5*l**5 + (l**2 + 3*l**2 - 6*l**2)*(-l + l - 2*l**3)).\nAnswer: -72*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11951183034*m + 11951183034*m - 92*m**3 + 2*m**2.\nAnswer: -92*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*4\/48*3*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-893)\/(-235) + 0 + 8\/(-10)). Suppose 6*s - 3*s = 15. Which is the closest to 0? (a) s (b) -12 (c) k (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 28. Suppose 800 = 20*k - j*k. Calculate the remainder when k is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110188 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 6, -1\/8, 5, 862\/5, -1 in decreasing order.\nAnswer: 862\/5, 6, 5, -1\/8, -0.15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 49313377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 5*n**2 - 3*n - 1. Let p be o(4). Suppose 3*y + 32 = -p*d - 2*y, 5*d = 4*y - 4. Let z be 5\/10 - (-2)\/d. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98113.55 centimeters in micrometers?\nAnswer: 981135500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - -27. Let r = w - 35. Let b(z) = z**2 - 6*z - 2. What is the remainder when r is divided by b(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddqddotodddddq. Give prob of picking 1 o and 1 t.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 84506173 less than 84506172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63734013?\nAnswer: 3, 7, 337217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 - 2530*x**3 - 49785*x**2 - 47250*x = 0. What is x?\nAnswer: -18, -1, 0, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -40.33.\nAnswer: 40.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 28 + 10 - 1393*w**2.\nAnswer: -1393*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -15 + 16 - (5 + 4 + -50)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -50*i**3 + 36*i**2 - 27*i - 84. Let y(f) = -11*f**3 + 9*f**2 - 6*f - 21. Calculate 2*u(c) - 9*y(c).\nAnswer: -c**3 - 9*c**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 * -64\nAnswer: -17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 42 = 4*k + 2*k - 16*k - 6*w, -5*w = -15 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -1816\/7*c + 3456\/7 + 4\/7*c**3 + 36\/7*c**2 = 0.\nAnswer: -27, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014214266 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4427702553 and -400.9.\nAnswer: -4427702953.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**4 - 117*s**3 - 933*s**2 + 4473*s + 5292 = 0.\nAnswer: -21, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5455166.\nAnswer: 2, 19, 89, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 + 140*k**2\/11 - 518*k\/11 - 60.\nAnswer: -2*(k - 66)*(k - 5)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 3, k: 3, b: 1, r: 5, h: 6}. What is prob of picking 2 d?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*x**6 - 1504*x**4 + 293891*x**2 wrt x?\nAnswer: -2160*x**3 - 36096*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 279562 - -2?\nAnswer: 279564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = -s, 2*s + i + 0*i = 5. Suppose -4*z = g - 69, -s*z - 322 = -5*g - z. Let a = 76 + g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3183*j**3\/8 + 3111*j**2\/2 + 2895*j\/2 - 144 = 0?\nAnswer: -2, 96\/1061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 8 (c) 208\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144\/461977 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12900191 to the power of 1\/2, to the nearest integer?\nAnswer: 3592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - q. Let t(k) = q*k + 14*k**2 - k + 2*k + 3. Is 18 a factor of t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2256 and 471081.\nAnswer: 7537296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 37*m**2 + 42*m - 139. Let x be k(38). Suppose 5*p + 12*f - 24 = x*f, -4*f = 2*p + 8. Solve -27*n + 26*n = p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/463 - -454\/1389. Which is greater: -55 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-210)\/280 - (-1615)\/4. Calculate the highest common factor of c and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = 5*y + 7*d, 5*y - 4*d = -4. Suppose 5*j - m + 5*m + 506 = 0, -j - 3*m - 99 = y. Is j at least -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/9 + 1400*q**2\/3 - 58498*q\/9 + 20860 = 0 for q.\nAnswer: 5, 9, 2086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3 - 4 + 5. Let j(g) = -4*g**2 + g + 23. Let m(u) = 2*j(u) + 22*n(u). Let r(h) = 7*h**2 - h - 1. Let k(s) = -6*m(s) - 7*r(s). Give k(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + (-6 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18601\/42 + 3190\/7. Let z = t - 409\/30. What is the closest to -2 in z, -11, -1\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o**3 + 3*o**2 + 2*o - 5. Let r be f(2). Let j = r - -89. Suppose 2*d = -4*t + 5*d + 4, 3*d = j. Solve 0*l = 2*s - l - 2, 4*s + t*l + 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39926 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15699*y + 272. Is j(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -139 (c) 0.7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-10) - (5886\/545 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:52 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5887 - 5344. What is the greatest common divisor of g and 3620?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-6) + 5\/(-15). Is f\/(-3)*153\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/n**(-7)))*n)\/n)\/n)\/(n\/(n*n*n**0))*n**(6\/11)\/(n\/(n*n**(-2\/13))) assuming n is positive.\nAnswer: n**(1200\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) + -1 - sqrt(320) - sqrt(320)) + 3 + (sqrt(320) - (sqrt(320) + -3*(sqrt(320) + 1) + sqrt(320))) + 3)*-1)**2.\nAnswer: 128*sqrt(5) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - 5\/((-15)\/12). Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903.5435 millilitres in litres?\nAnswer: 0.9035435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**9\/7560 - t**7\/2100 - 2*t**3\/3 - 4*t**2. Let b(h) be the first derivative of j(h). Factor b(y).\nAnswer: 2*y**3*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 1.15, -108.\nAnswer: -108, -4, 1, 1.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -23\/3 (c) -1535 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 16\/6 - 1\/(-3). What are the prime factors of (-7)\/(14\/(-4))*101\/l?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 6*g + 12. Suppose -g*o - 69 = -h, -4*h + 4*o = -9*h + 288. Is h a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25605 divided by -1949.\nAnswer: 25605\/1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 29*p + 5. Let d(h) = -15*h - 4. What is -5*d(l) - 3*z(l)?\nAnswer: -12*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -5, 2\/65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2*o**6\/75 + 2*o**5\/25 + o**4\/15 + 26*o + 27. Let j(w) be the first derivative of p(w). Factor j(f).\nAnswer: 4*f**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and 1975.35.\nAnswer: -730.8795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = -7*v + 3*b + 126, 8*b = -5*v + 2*b + 2*b - 52 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -9*b**4\/4 - 16*b**3\/3 + 2*b**2 - 7. What is o in v(o) = 0?\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b59 + 5?\nAnswer: 7b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -343*q**5\/5 - 167*q**4\/4 - 157*q - 2. What is the third derivative of u(r) wrt r?\nAnswer: -8232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 821\/52218?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1521463\/6 - 251854. Let f = 8306\/39 + -25484\/13. Let h = f + v. Calculate the common denominator of -22 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 0*d**4 - 280*d - 126 + 0*d**2 + 14\/3*d**3 - 8\/5*d**5. What is the derivative of j(g) wrt g?\nAnswer: -32*g**3 + 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = 4. Let f(g) = g + 5. Let m be f(7). Suppose 4*x - x - m = 3*k, 5*k - 3*x + 10 = 0. Is h smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*i - 18*i + 3524 - 3588. Which is the closest to -0.2? (a) 2 (b) i (c) 0.1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 - 655*w**3 - 140*w**2 + 18580*w - 31440 = 0 for w.\nAnswer: -6, 2, 4, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-9)\/(144\/28). Suppose 2*c + 5*n = 16, -5*c + 4*n = -3 - 4. What is the third biggest value in c, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37\/48 + -1387\/48. Let d = f + 31. Which is bigger: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in seconds?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 = 14. Suppose 35*k**3 - 13*k**3 - z*k**2 + 14*k**5 - 32*k**4 + 0*k**2 - k**2 = 0. What is k?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27562, -55157, -82752, -110347, -137942, -165537?\n\"Answer: -27595*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-10) + (12\/(-21) - (-5817)\/(-882)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 4*c - 5. Let w be i(-3). Is (w\/6)\/(3\/(-2979)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5639, 5642, 5645, 5648, 5651?\n\"Answer: 3*l + 5636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, b: 1, o: 3, n: 5, v: 1}. Give prob of picking 1 v, 1 f, 1 b, and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 9*c. Let a be q(-9). Let d(k) = -k**2 + 44. What is the remainder when d(a) is divided by (30\/(-8))\/((-1)\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkzkkzzzzzkzkzzzzkz. Give prob of sequence zkz.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8504780.45 to the nearest 10000.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i. Let a(q) = 3679782*q**2 - q. Determine a(m(n)).\nAnswer: 14719128*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\/16*12\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v + 3. Let a(t) = -t - 1. Let i(k) = 4*a(k) + d(k). Give i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12535 - -12535. Suppose 13*r = 5*r + 24. Let 0*t - 3\/8*t**5 + 9\/8*t**4 + w*t**2 - 3\/4*t**r + 0 = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3799*t - 15169*t + 3792*t + 3802*t + 3779*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 11. Suppose 7*l + a = 10*l. Solve -l = -3*w + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 1. Let p(k) = -22111*k**2 + 11054*k**2 + 11056*k**2 + k + 2. Let s(m) = -m - 2. Let c be s(-1). Determine c*p(b) + 2*h(b).\nAnswer: 3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -5610?\nAnswer: -5605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -12510.58 to the nearest one hundred.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*9\/108*-4. Let v(z) = -z**3 + 4*z**2 - 4*z + 4. Give v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-15))\/(-5)*(5 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.0602km in meters?\nAnswer: 866060.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v)\/v)\/v*v*v**8*v)\/(v\/v**2)**(-24) assuming v is positive.\nAnswer: v**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4\/7)*(f*f**(2\/11))\/f)**7\/(f**(-1\/2)*(f**(-2\/3)*f)\/f*(f**(-1\/3)*f)**46) assuming f is positive.\nAnswer: f**(-555\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14*(5 - (-162)\/(-42)). Solve 6 = 19*s - r*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 110 and -0.3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-14) + 4 - (-6)\/(-14). Suppose -r*k + 238 = 32. Calculate the remainder when k is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i - 1. Let j(g) = 26*g + 54. What is -j(h) + 4*m(h)?\nAnswer: -2*h - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38257 + 3*r**2 - 38257 - r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6664*v**2 - 5540*v**3 + 6664*v**2.\nAnswer: -5540*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171117143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51136932 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + -3. Let q = v - -0.3. Let n = 61\/6 - 19\/2. Which is the closest to q? (a) n (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10)*d**(-8)*((d*((d*d**(-5))\/d)\/d*d*d*d)\/d*d)\/(d\/d**10) assuming d is positive.\nAnswer: d**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13*j = 12096. Calculate the highest common divisor of 28 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74309 is divided by 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:14 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 3 + 2 - c**3 + 6 + 6*c**2 - 3. What are the prime factors of g(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66+172296\nAnswer: 172362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 1049428.\nAnswer: 9444852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, 5, -4, -1 in decreasing order.\nAnswer: 5, 3\/17, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68637979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2603 + -2603. Let l = -9685\/23 - -421. Let h = -0.1 - -0.2. Which is the nearest to h? (a) -1\/12 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 14. Determine d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = 0, -8 = -2*h - z + 108. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228) + sqrt(228))*-6)\/(-4*sqrt(24)\/sqrt(2)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 365\/(-75) - -5 - 1407\/490*(-48)\/(-108)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 + 168 + (5 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 84204 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.46, -0.06, 0.08, -0.07?\nAnswer: 1.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - m - 27 = 11, 5*o - 61 = 4*m. Let p = -6 + -4. Let l = 27 - p. What is the remainder when l is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3327, 6657, 9987, 13317?\n\"Answer: 3330*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -37. Suppose 0 = 4*p - 4*d - 12112, -4*p + 2*d = -2328 - 9794. Suppose 0*f + s*f - p = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8113795.\nAnswer: 5, 149, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x. Let z(i) be the third derivative of 7*i**5\/15 + i**2 + 51*i. Give j(z(p)).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 13*a + 12. Let u be c(13). Let v = 13 - u. What is the biggest value in 2, 1\/3, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4 - 1186*y + 3*y**2 + 1186*y + 100*y**3 + 6.\nAnswer: 100*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*i - 183*i + 30. Let j be ((-8)\/3)\/(3\/(-18)). Solve -5*t = i - j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/((w**(-4)*w)\/w))**(-1\/4) assuming w is positive.\nAnswer: w**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1788 = -10*j + 5*j - q, 0 = -3*j - 4*q + 1066. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -101?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.777 + 0.747. Let w be 1\/(-2)*8\/(-14). Which is bigger: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 643 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*h = 24, 4*h + 19 = l + 8*h. Suppose -2120005 = -2*g + u, 6*g - 3180005 = l*g + u. Round g to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.112, -0.6, -44, 54 in ascending order.\nAnswer: -44, -0.6, -0.112, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = 3*o, -2*o + o + 4*f = -14. What is the first derivative of 228 - 222 + 19*b**2 + 6*b**o wrt b?\nAnswer: 50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*o = 2*o - 20, 2*z - o = -5. Let h(a) = -a**2 + a - 50. Give h(z).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117214404919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -12. Let m = 34 - 101\/3. Sort i, m, -0.5 in ascending order.\nAnswer: -0.5, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-21.9438.\nAnswer: -10.9719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -696 divided by 190\nAnswer: -348\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 183839474 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: List the prime factors of 12343082.\nAnswer: 2, 131, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0137609 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5.9. Let k = -2.461 - 2.839. Which is the nearest to g? (a) -1 (b) k (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 1b9?\nAnswer: 1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -0. Suppose 0*o = -k*o + 12. Solve 4*a + o = -13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -916 or -914?\nAnswer: -914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-200)\/(-4))\/(-20*95\/3800).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + -4 + -4 + sqrt(76) + (sqrt(76) + 3)*3)**2 + 3.\nAnswer: 32*sqrt(19) + 1223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -96?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/102)\/((15*10\/(-1080))\/(10\/(-16))).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30770607\/82 equal to -375250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001 (base 3) to base 14.\nAnswer: 43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**7*r))\/r*r)**(-1\/34)\/(r**(-19\/4)\/r**(25\/6)))**41 assuming r is positive.\nAnswer: r**(76301\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = v - r - 3, -v - r = 5. Let z be (89 - v)*(-5)\/(-15). Let g = -6 - -8. Solve 5*c + z = -7*x + 2*x, -20 = 4*x + g*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -9*k**6\/80 - 3*k**5\/8 + 7*k**4\/96 + 3*k**3\/4 - k**2\/4 + 7*k + 16. Solve o(f) = 0 for f.\nAnswer: -2, -1, 1\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*g**3 - g**2*z - g*s**3 - s**3*z + 2*s**3 + 68*s**2*z wrt g.\nAnswer: 27*g**2 - 2*g*z - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 7:58 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 41 in decreasing order.\nAnswer: 41, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let i(w) = -3168502*w. What is n(i(r))?\nAnswer: -3168502*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 1 - 1)*(3*v + 9*v**2 - 16 - 16 + 30).\nAnswer: 9*v**4 + 3*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9570 divided by -638?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2. Let r(c) = -3431835*c. What is b(r(m))?\nAnswer: -70664948803350*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41125 is divided by 10271?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7802647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**2 + 7*h**2 + h**2 - 3*h + 7 to the form r*h + k + m*h**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0544 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10475 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43756 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17814124*z**3 + z**2 - 27704*z + 169 wrt z.\nAnswer: -106884744*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 55444 = 2*h + 55431, -6*h + 6*o = 132 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 27*n + 59. Let b be t(-24). Let u = b + 297\/23. Is u != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)\/n**8 assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3312 is divided by 3114.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (657 - 493 + 824)*(-1 + 2 + 0)*(0*u**2 + 0*u**2 + 2*u**3) + (u + 2*u - 2*u)*(-4*u**2 - 2*u**2 + 4*u**2).\nAnswer: 1974*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 210 + 1036?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 48, -0.5 in decreasing order.\nAnswer: 48, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = -2*b - 2, -2*l + 2 = -b. Suppose b*a + a = 3. Let i be (-3 + ((-30)\/(-7) - a))*-7. Calculate the greatest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1146 + 2?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161578 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 1229*v - 1225*v + 12, 4*v = p - 37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*l**4 + 41*l**4 - 7*l**4 + (1 - 1 + 3)*(2*l - 2*l**4 - 2*l))*(1 + 4 - 6) in the form t*l + w + c*l**4 + a*l**2 + i*l**3 and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(162) - ((-2*sqrt(162) + sqrt(162) - sqrt(162)) + sqrt(162))) + sqrt(162))\/sqrt(9)*6)**2 - (4 + sqrt(20)\/(sqrt(640)*3))**2)*-3.\nAnswer: -1675007\/96 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 2*r + r)*(6 - 27 - 11) to the form l*r + z and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2275001*s + 4. Let q(y) = -y**2 - 7*y - 4. Suppose 3*r - 13 + 34 = 0. Let a be q(r). Let u be x(a). Round u to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 + 2*g**2 - g. Let n be b(1). Which is smaller: n or -46\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(39)*-2)\/((sqrt(108) - 1*sqrt(108)) + sqrt(108)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4424357 - -28306268.\nAnswer: 28306266.5575643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203.706 rounded to zero dps?\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((-52)\/(-312)). Suppose 40*g = 43*g + 3. Let k be (54\/3)\/3 + g. Solve -2*s - 5*j = s + 8, -u = -2*s + k*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160*d - 63*d - 60*d + (-3 + 3 + 2)*((-2 - 2 + 5)*(d + 5*d - 4*d) - 3*d + 6*d - 2*d) to the form r + c*d and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-25) - (-3 - 8\/(-5)). Solve -2*u + n + 16 = 5*n, -u + s*n = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 337*x**4\/12 - 137*x + 8. Let q(c) = c**2. Calculate q(g(v)).\nAnswer: 113569*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + 8 + 4\/2. What is the third derivative of 3*j**4 - j - j**2 - j**q + j wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 123.\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/539 and -62\/99?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*g + 12, 4*g + 5*u - 14 - 1 = 0. Suppose 7 = g*f - 3. What is the biggest value in f, 2\/11, 5\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-22)\/(-198)*-27\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 297768 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 59*h - 63*h = -4312, 2*h + 8 = 0. What are the prime factors of v?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -14516?\nAnswer: -1306.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3675.556 decades to months.\nAnswer: 441066.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -62, -60, -60, -62?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 11*l + 120. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 3*z**2 - z**2)*(-z + z - z**2) + (-81*z - 1545 + 1545)*(-5 + 5 + 2*z**3).\nAnswer: -164*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2 - 2)*(-32974 - 2405*q + 16484 + 16488).\nAnswer: 2405*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v - 5. Let l be (-5 + 7)\/(1\/4). Let z be g(l). Suppose z = 4*i - 1. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 33. Calculate the remainder when 0 - (-1 - 3) - -76 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 980 - 960. Let u(f) = 34*f**2 + f + 2. Suppose 0 = 4*w + 5*y - 2*y + 1, w = -3*y - 7. Let b be u(w). What is the highest common divisor of b and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, k: 3, v: 1, u: 5, s: 2}. What is prob of picking 2 k and 1 r?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-2)*44\/77. Let t = 397 + -402. What is the third biggest value in t, j, 32?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 - 6*y**3 + 4*y**2 + 141 - 70 + 0*y**2 - 2*y**2 + y in the form i + u*y + b*y**2 + q*y**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 119620071113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = 2*x + 14, 5*x = 5*a - 25. Determine h, given that 16*h**2 - 5*h**3 - 4*h**5 + 28*h**3 + a*h**5 - 16*h**4 + 8*h**5 - 11*h**3 - 16*h = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-35)*(-21)\/(-6)*1.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(204)*-3*-4 - sqrt(204))\/sqrt(12) + -3)**2.\nAnswer: -8264 + 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1521 + 1645. What is the remainder when 432 is divided by s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -99. Solve 3*o = -0*o + 2*h + 7, 0 = -p*h - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = f - 9, 400 = 3*t + 2*f + 387. Let h = 3.09 - 0.09. What is the nearest to -15\/2 in t, 5, h, 4\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2764 + 1443.54. Round x to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = -5*o + 400. Suppose -2841 = -o*u + 1099. List the prime factors of u.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-5) - 4 - (6 + -2). Suppose -2*o = 5*p, 2*o + y*o = -3*p. Solve o = -2*x - 3*f - 9, -6 = -x + 4*x + 3*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/11 and -9\/161.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -30*d**3 - 4*d**2 + 4*d. Let a(w) = 59*w**3 + 7*w**2 - 7*w. What is -4*a(z) - 7*p(z)?\nAnswer: -26*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 621*v. Let q(k) = -1135*k - k**2 - 1131*k + 2266*k. Give q(a(d)).\nAnswer: -385641*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 66*w**3 - 4*w**2 + 383*w - 761. Calculate v(2).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -230379\/5 + 112425337\/2440. What is the common denominator of p and -36\/427?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2*sqrt(57))\/sqrt(3) - (sqrt(19) - sqrt(931)*-2)) - (-6*(-2*sqrt(228) + sqrt(228)) - sqrt(228) - sqrt(228))\/(sqrt(12) + sqrt(768)*-1))*2.\nAnswer: -1084*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4*c - 648 = 0. Let f = c + 565. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/12*2*(-2)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(500))\/(sqrt(640)\/sqrt(4)).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + t + 7*t + 4*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.078 + 42.022. Let b = -43 + x. Which is greater: b or 0.08?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1211 divide 816309827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((-110)\/(-55)*(-4)\/5 + 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 65*t = -36*t - 42*t + 8979 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*g = -3*a + 973, 3*g = -15. Let q be 3\/9*-4 + a\/9. Calculate the greatest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 g when three letters picked without replacement from hngukgg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51574785 and 43592.\nAnswer: 5449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-155)\/(-1085)*(-3 + -739)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 69 (c) -1207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 3 - (-4)\/(-3)*105\/(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/7 + 44*z**3\/7 + 2*z**2\/7 - 132*z\/7 - 100. Find h, given that o(h) = 0.\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 15, 0 in ascending order.\nAnswer: -66, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + -2) - (14 + -32 + 5 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2793988 is divided by 1680?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202909 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87\/11458285 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 44.01. Which is the biggest value? (a) v (b) 5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(91\/28 + -4). Solve 0 = s*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60591128 and 408?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*u - 277*u = -1134 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 39*q + q**2 + 38*q.\nAnswer: -2*q**2 + 77*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1761 - -12. Is 63 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2 - 2*p + 2*p**5 - 11*p**4 - 39618*p**3 + 39618*p**3 wrt p.\nAnswer: 120*p**2 - 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = -5*t - 0*t. Let j = -55 - t. Is j + -1 + (5685 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -150, -230, -312, -396, -482, -570?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.2, -2.11 in increasing order.\nAnswer: -2.11, -3\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/4 - 10*c**3\/3 - 4*c**2 + 14*c - 19. Let m be k(-9). Factor 0*w**4 + 1\/3*w + 0*w**2 + 0 + 1\/3*w**m - 2\/3*w**3.\nAnswer: w*(w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v**3 + 17*v**2 - 17*v - 17. Suppose 5*c - 6 - 9 = 0. Let n(z) = -2*z**3 + 3*z**2 + 3*z**2 - 3*z + z**2 - 4*z**2 - c. What is 34*n(a) - 6*y(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y. Let c(w) be the third derivative of 2*w**5\/15 - 28*w**2 - 4*w. Determine c(s(b)).\nAnswer: 800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868280633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/10373 and 131\/24.\nAnswer: 248952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 21.55389386367?\nAnswer: -38.55389386367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let x(r) be the second derivative of 7*r**6\/80 - r**5\/60 + r**4\/4 - 4*r**3\/3 - 47*r. Let h(a) be the third derivative of x(a). Give h(m(u)).\nAnswer: -126*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 451\/4 + -115. Find the common denominator of -109\/6 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421143054 (base 6) to base 12.\nAnswer: -255aa8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 3)*(-3 + 5 + 1)*(-4*p - 2 + 24 - 5).\nAnswer: 72*p - 306","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - h**2 - h. Let k(l) = -8*l**3 - 9*l**2 - 2*l. Let n(r) = 2*j(r) - k(r). What is the third derivative of n(s) wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.55 * -36358.\nAnswer: 856230.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2. Let f(g) = -17*g**2. What is s(f(k))?\nAnswer: 578*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**8\/224 - 2*s**7\/35 + 9*s**6\/40 - 2*s**5\/5 + 5*s**4\/16 - 11*s**2. Factor a(b).\nAnswer: 3*b*(b - 5)*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 160, 339, 532, 745, 984, 1255, 1564?\n\"Answer: m**3 + m**2 + 169*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 750 and 7442625.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137278493 to the power of 1\/2, to the nearest integer?\nAnswer: 11717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5111 + 5374. Solve -268*x = -f*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -22*w + 7. Let q(j) = -22*j + 8. What is -5*c(g) + 4*q(g)?\nAnswer: 22*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:46 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3718847 divided by 2?\nAnswer: 3718847\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -54*i**2 - 118*i + 62. What is z(3)?\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**5\/5 - 19*m**4\/4 + 17*m**3 + 451*m**2\/2 - 484*m + 654. Factor n(r).\nAnswer: (r - 11)**2*(r - 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/15 + 29716*i\/15 - 110380082\/15 = 0.\nAnswer: 7429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 152\/(-11) - 16\/88. Let n be (-8)\/28 + (8270\/x - -3). Let b = n + 10957. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxvuxhvvxxuxuvhxhh. What is prob of sequence vv?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 948745396 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 266113 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 455039983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(-2)\/(-4). Let h = -30 - -27. Is h equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (850\/15)\/17*(-6)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1667, 1558, 1449, 1340, 1231?\n\"Answer: -109*c + 1776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.46 take away 122231?\nAnswer: -122232.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -115338 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 4*t + 2. Let j be y(-2). Let w be 2\/(-4)*(-1)\/j. Suppose 5*h + 3*i = 2, 3*h - 8 = -i - 6. Which is the closest to h? (a) 4 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-20\/7)*g)\/(g*((g*g*g**(-2\/17)*g)\/g)\/g))\/(g*g**(8\/5)*(g*g**(-13\/5)*g*g)\/g*g) assuming g is positive.\nAnswer: g**(-802\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -744 - -2979\/4. Let f(d) be the second derivative of 6*d - 3*d**2 - i*d**4 + 0 + 0*d**3. Differentiate f(r) wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 6:08 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11271 - 101441\/9. Which is smaller: d or -6\/85?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 9 - (12 - -10 - (106 - -44)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 99 = 3*b, 3*u + b = 47 + 31. Suppose 0 = 2*v - 5 - 5, -s = 4*v - u. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4922047 to the power of 1\/2, to the nearest integer?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 6176*j + 33375104.\nAnswer: 2*(j + 10808)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krrkr. What is prob of sequence krkr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*d + 35. Suppose -d = -0*u + 3*u. Let w(f) = -6*f - 3. What are the prime factors of w(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 7 - 2)*(-u - 9*u + 3*u)*(2*u**4 - 2*u**4 - 2*u**4).\nAnswer: 266*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56767, 56864, 56961, 57058, 57155, 57252?\n\"Answer: 97*r + 56670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85271, -171363, -257455?\nAnswer: -343547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2 + 4. Suppose 64 = p*r - s, -55 = -2*r - 2*s - 7. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + (sqrt(125) - (-2 + sqrt(125))) - (sqrt(125) - (4 + sqrt(125) + -1 + sqrt(125)))))**2.\nAnswer: 80*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -102103041413?\nAnswer: -102103041410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 10*f**5\/17 - 56*f**4\/17 + 46*f**3\/17 + 88*f**2\/17 - 56*f\/17 - 32\/17 = 0.\nAnswer: -1, -2\/5, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 96310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 14\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*u - 2*p - 0*p, 2*u - 4*p = 52. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148001549*i**5 + i + 50512226 wrt i?\nAnswer: 2960030980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221201002 + -30?\nAnswer: 221200312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1872 and 3.\nAnswer: 5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 19*g. Let i(z) = -703*z. Determine i(y(v)).\nAnswer: -2109*v**2 + 13357*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfzg when four letters picked without replacement from zntztzzggfztgnoozgzg.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Let a(q) = q + 2. Calculate a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -374 + 372. What is the second biggest value in y, -4\/5, -0.1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 9. Let j = 94681 + -94679. Put -2\/13, l, -5, j in increasing order.\nAnswer: l, -5, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1587 = -257*z + 5866 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 171 + 71. Suppose 0 = 4*b - 7*v + 3*v + 20, -4*v = 2*b - u. Factor b - 4\/5*x + 2\/5*x**2.\nAnswer: 2*x*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + u + 2)*(-1 + 7 - 1) - 2 - 6*u + 3 + 5*u.\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 7854\/2)*-1. Let n be (-43271)\/2*(-2)\/(-11). Let a = n - s. Calculate the common denominator of 11\/2 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 - 186 = 6*h. Suppose -l + v = 3, -184*l = -189*l - 2*v + 20. Which is the third smallest value? (a) h (b) 2\/7 (c) l (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2) - 2\/1. What is the least common multiple of 16 and y - -25 - (-3 + 5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 24*x**2 - 245*x + 6499. Let a be m(20). Let u(j) = -2*j**2 + 2*j. Let o be u(2). Sort -5, o, a, 74 in ascending order.\nAnswer: -5, o, a, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/60 + h**4\/3 + h**3\/2 - 2*h**2. Let s be z(-8). Differentiate 3*t - t - 5*t - s with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -447 - 60*j - 442 + 888 in the form s*j + g and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 295179\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*18 + 2107\/(-215). Let q = -0.1 - 0.3. Which is the third smallest value? (a) -0.09 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -857 + 1630. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202021222 (base 4) in base 8?\nAnswer: 421152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 - 42*u - 314. Let z(r) = -3*r**2 - 28*r - 202. Let s(h) = -9*x(h) + 14*z(h). Let a(k) = 15*k**2 - 70*k - 11. Calculate -2*a(d) + 11*s(d).\nAnswer: 3*d**2 - 14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 238.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 18. Let t(i) be the first derivative of -i**2\/2 + i + 6044. What is -g(q) - 2*t(q)?\nAnswer: 2*q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 17.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**2 - 4537*j - 13598. Determine i(-3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 796110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2765*v - 2761*v - 4 = 4*y, -5*v - 3*y = 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 11 = -1. Let t(a) = -2*a**2 - 2*a - 2. Give t(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (525\/65 - 8) + 3192\/9880\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgjkjjcgkjgkj. Give prob of sequence kg.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f9e7 (base 16) to base 15.\nAnswer: -13e50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 11*b**2 + 3*b - 13. Let q be g(11). Suppose 5*a - 35 = -q. Calculate the smallest common multiple of 5 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from nmniibnmnzizmi?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (144\/(-20))\/(72\/180)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouo when three letters picked without replacement from {o: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16399620, 32799243, 49198866, 65598489, 81998112, 98397735?\n\"Answer: 16399623*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30 + -2434)\/(12\/(-15)).\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35902953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 5 (c) 0.1662\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (94\/329)\/((-10)\/7)*-395*(-7)\/(-7)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104968 + 104971. Factor 1\/5*i**4 - 4\/5*i**2 + 2\/5*i**s - 2\/5*i + 3\/5.\nAnswer: (i - 1)**2*(i + 1)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2\/7)\/z)**49\/(z**(-7\/3)\/(z**(-2\/13)*z)) assuming z is positive.\nAnswer: z**(1489\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 116\/(-14) - 4\/(-14). Let p = -1 - w. Suppose -5*x + 3 = -p. What is the lowest common multiple of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xppppxpppp. Give prob of sequence pxpp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73152143957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7*l + 22*l - 7*l)*(l - l + 2*l)*(-26 + 36 + 37).\nAnswer: 752*l**2 + 188*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 214 - 1541 = 0. Let l = q - 99. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0808 - 14.0808. What is the closest to -2\/11 in s, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-4 + sqrt(1573) + 0 - sqrt(1573)) + -4*(sqrt(1573) + 0) - (-4 + -1*sqrt(1573)*6))*-4)**2 + -2.\nAnswer: -100674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 = 2*q + 141 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-526)\/(-6) + 1*(-20)\/30. Calculate the common denominator of -61\/16 and (g\/36 - -2) + (-5)\/(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 3. Suppose -2*a + 7 + 1 = 0. Calculate the lowest common multiple of r(-1) and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916846 (base 10) to base 12.\nAnswer: 3826ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 7. Let g(a) = a**3 + 5*a**2 - a - 3. Let l be g(i). Suppose 0*q + 4 = 2*q. Solve -5*j = q*m + 19, -l*j - j - m - 11 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - 8 - (-7 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95927, 1, -3 in increasing order.\nAnswer: -3, 1, 95927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*z = j - 211*z - 140804, -5*j + 704050 = -5*z. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -5, 0, -0.10127, 31 in increasing order.\nAnswer: -5, -0.10127, 0, 0.24, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, -1695174 in decreasing order.\nAnswer: 5, 1, -3, -1695174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from iuxrp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1103*v + 113618. Let c be n(103). Let f be 397\/7 + (-2)\/(-7). Calculate the greatest common factor of c and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-31 + 1176\/36).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932306511 to the power of 1\/3, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**3 - 2*m**2 - m - 3. Let v(h) = 7*h**3 - 3*h**2 - 2*h - 3. Let d(g) = 3*s(g) - 2*v(g). What is the tens digit of d(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42933 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Suppose -8 = -2*g - g + k*a, -5*g + 4*a = 0. Let x = 1.069 + 2.931. Sort g, x, -0.3.\nAnswer: g, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101210 (base 3) to base 8.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626447698?\nAnswer: 2, 313223849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -8?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*n - 8613*f**2 - 3*f*n + 49*n wrt n?\nAnswer: 2*f**2 - 3*f + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -77, -113, -147?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -640 - -200. Let k be 1120\/n*(-11)\/2. Solve 4*j + 35 = 5*r, 5*j + k = -3*r - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 10212*n**3 - 8435880*n**2.\nAnswer: 4*n**2*(n - 3210)*(n + 657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2661749 months in centuries?\nAnswer: 0.00105514575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + h**2 + h + 1. Let y(s) = 8*s**3 - 68*s**2 + 75*s + 7. Let o(x) = 2*g(x) - y(x). Let i be o(25). Round i to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -249 - -745?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**4 - t - t**2 - 12*t**4 + 172*t**3 + 20*t**4 - 161*t**3 - 1 as m*t**4 + o*t**2 + z*t + y*t**3 + u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224015427 is divided by 5247.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 1049 (b) -1 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169679 = -47*l - 48231. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h - 5883*h**3 - 4*h + 5882*h**3 + 6 - 3*h**2. Determine j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 5*x**2 + 5*x - 7. Let j be s(-6). Let v be j*(5 - 2) - -11. Suppose 4*m + v*o = 3*o + 281, o + 68 = m. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.1 (c) 1\/2 (d) 4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1116409 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/3 + 2*j**2\/3 + 64*j\/3 + 160\/3 = 0. Calculate j.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.0586041ns in days?\nAnswer: 0.00000000000024373384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 2615165?\nAnswer: 2615165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -2. Calculate the lowest common multiple of (-560)\/(-224)*44\/5 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -33 - (-4 - -24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 7*p**2 - 9*p + 13. Let u be h(8). Solve 0 = -2*l - i - 10, u*l = -i - 35 + 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8491409ml?\nAnswer: 0.0008491409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 29*z**2 + 2*z + 54. What is v(-29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 13884526\nAnswer: -4\/6942263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4108687.4826\nAnswer: 4108691.4826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11697337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 51. Suppose -4*k + 20 = 5*p - 322, 2*k + l*p = 172. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1737348\/973 or 1787?\nAnswer: 1737348\/973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*j = -4, -2*f + 42*j = 45*j + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -101154220254850467*c**2 - 2203497804*c - 12 = 0.\nAnswer: -2\/183624817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 5*g + 4344 - 4355, -c = -g + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282367 and 1015939?\nAnswer: 2911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 40. Let w be 125\/20*(n + 2). Let z(b) = b**2 - 24*b - 22. Let h be z(w). Solve 2*r = -r - 4*t + 14, -h*r + 3*t - 21 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 942\/(-157)*(-7)\/6. Let p(i) = 3*i**2 - 7*i. Let z(q) = 9*q. Let v(u) = -u**2 - 10*u. Let h(j) = -3*v(j) - 4*z(j). What is m*h(o) - 6*p(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20962545 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144076, -144067, -144054, -144037, -144016, -143991?\nAnswer: -143962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-1 + -39)*84\/210. Solve 24 = 10*s - c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191.9527 + 192. Round t to 3 decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-25 - -13 - -10) + 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) + 7\/(-14). Let m(o) be the second derivative of -o**6\/24 + o**4\/24 + o**2 + 2*o. Let s(t) be the first derivative of m(t). Give s(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 6. Let p be u(4). Suppose -p*n + 16 = -6*n. Is (6\/n - -1)*-314 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -574, -1035, -1406, -1687, -1878, -1979, -1990?\n\"Answer: 45*n**2 - 596*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3733, -6414, -9139, -11932, -14817, -17818, -20959, -24264?\nAnswer: -27757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, i: 1, t: 1, d: 1}. Give prob of picking 1 r and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-eight fifths of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-1 - -4)) + (80 - 67).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29856536 is divided by 2345.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/119 and ((-3)\/4*-2)\/(-13 - (-32704)\/1888)?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3\/10)\/o*o*o\/((o*o*o*o**(-28))\/o))\/(o**7\/o*o)**20 assuming o is positive.\nAnswer: o**(-1123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/21)\/((-30)\/(-140)) + 20\/(-90). Find s, given that -2\/11 + 4\/11*s - 2\/11*s**x = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3204\/1246)\/((-8)\/14).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/120 + i**5\/12 - i**4\/4 - i**3\/2 - 2*i**2. Let h be t(-6). Is 84 - ((-8)\/2 - h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 - 3*o**2 - 3*o + 2. Let t be (4 - (-1 - -4))\/(-1). Let y(a) = a**3 - a**2 - a + 1. Determine t*w(u) + 3*y(u).\nAnswer: -u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + d - 1 = -11, 5*d = -2*h - 6. Suppose 0 = -h*f - 16 + 64. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 13.9. Sort -0.4, f, -1\/2, 1\/3 in increasing order.\nAnswer: -1\/2, -0.4, f, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 16 - 77 - 629*o as i*o + p and give i.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -82. Let y = 27 - p. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 13540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 1. Let u be q(-1). Let n be u\/(-2)*(3 - 5). Let f(t) = -t + 1. Let o be f(1). Sort o, 3, n in ascending order.\nAnswer: n, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1 - 1) + -2. Let u = 413 + -413. Suppose -58*x + 62*x - 16 = u. Solve k*y + y = -x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-3)*12\/20. Let n(l) be the third derivative of 0 + 0*l - 1\/20*l**4 - 1\/300*l**6 - 2*l**2 - 1\/30*l**5 + j*l**3. Determine a, given that n(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2254)\/(-2)*(-7677)\/(-176571).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02723351057 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*y = -5, 3*z - 14 + 7 = -4*y. Suppose z*m = -0*m + 16880. Suppose 3*b - 1535 = m. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7446 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 14 = -20. Calculate the least common multiple of h and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1181 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -7\/6*x**3 + 0 + 0*x + 1\/24*x**4 + x**2. Let h be o(8). Sort -5, h, -3 in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20288215 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -30, -118, -274, -516?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392465220?\nAnswer: 2, 3, 5, 7, 934441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g + 15. Let n(y) = 23*y - 42. Let x(q) = -6*n(q) - 17*z(q). What is x(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 + 189 - 472 + 150*y**3.\nAnswer: 150*y**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 15459885?\nAnswer: 30919770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 147913*h + 295819. Determine j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2 - 2 + (-2 - 1 + 1)*(3 - w - 3) - 1 + 1 - w)*(-3 + 3 + 3*w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(75) + 0 + sqrt(75) + sqrt(48) + sqrt(3) + 3 - (sqrt(3) + sqrt(2352) + sqrt(6)\/(sqrt(10)\/sqrt(5)))).\nAnswer: -15*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.78895 litres to millilitres.\nAnswer: 39788.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -298.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 600.\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + h = 1 + 1, -4*h - 13 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*sqrt(3087)*1 - (5*(sqrt(84)*1 + sqrt(84)) - sqrt(84))\/(sqrt(12) + sqrt(192)*1)).\nAnswer: 3 + 621*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**7\/420 - r**6\/20 - 9*r**5\/20 - 9*r**4\/4 - 5*r**3\/3 - 2. Let t(q) be the third derivative of f(q). Factor t(a).\nAnswer: -2*(a + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2573*w**3. Let g(k) = -31*k**3. Give 248*g(c) + 3*t(c).\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 528 + 662?\nAnswer: b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*i**3 - 1122*i**3 + 407*i**3 - 2679*i**3.\nAnswer: -3646*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2814715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.382 * -1\nAnswer: 3.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f + 2*f)*(-1 - 3 + 5)*(57 + 87 + 391).\nAnswer: -535*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -159189.2329 to the nearest 1000.\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 9*u + 341, u + 7217467 - 7217427 = -2*d for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 3, -7.4, -1.83, -4, 0.4?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442671.1 nanometers to millimeters.\nAnswer: 0.4426711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**3 - 30*w**3 + 3 + 11*w**3.\nAnswer: 10*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(5*t**2 + 0*t**2 - 4*t**2) + 15*t**2 - 2 + 2)*(-11 + 6 + 4773*t - 4726*t).\nAnswer: 752*t**3 - 80*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*p + 35, 25*p = b + 28*p + 11. Sort b, 5, -5, -3 in increasing order.\nAnswer: -5, -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:11 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -122?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = 3*n, -p + 3 = -2*n + 4*n. Let z(r) = -r + 8. Let d be z(3). Solve 29 = -d*x + f + f, -4*x - p*f = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 28. Let a = -7 + z. Solve 2*h = -h + a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 5*x + 2. Let k be a(3). Let c be ((-2)\/3)\/((-300)\/45). What is the smallest value in k, 1, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -492 + 335. Let i = h + 220. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -518.\nAnswer: 1\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 3 - 2 - (-16)\/(-8). What is the second biggest value in 0.3, 3, p, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 8. Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*m**3 - 26*m**3 - 27*m**3 + 41*m**3 + m**2 - 34*m**3.\nAnswer: 53*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 23. Let p be q(23). Sort 2, 5, p, -5.\nAnswer: -5, p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 12*j**2 + 12*j + 15. Suppose -4*i + 29 = 73. Let k be o(i). Does 3 divide 3\/(-2) - (-18)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*-1 - sqrt(117))\/(sqrt(9) - 1*sqrt(324)).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*t + 2 - 6 = 0, s + 2*t = 0. Suppose 0 = m + s*m - 90. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (4*sqrt(1300)*-2 - sqrt(1300)))**2 + 3 + (1*sqrt(39)*-1)\/((sqrt(36)\/sqrt(2))\/sqrt(6)) + -3.\nAnswer: -sqrt(13) + 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13732*z**3 + 6243*z**2 wrt z.\nAnswer: 82392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 70. Let q = u + 44.7. What is the second smallest value in 2\/25, -1\/6, 3, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (6 - 15\/(-5)) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**6 + 194*k**5 + 1363*k**2 wrt k.\nAnswer: -360*k**3 + 11640*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -0.0852374.\nAnswer: 2.983309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s - 9. Let d be (2 - 1) + s\/(-1). Solve 3 = -2*v + r - 2*r, -d = 4*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538755 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and 1.227.\nAnswer: 1.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155560*l*o*s**3 - 4789*l*o*s**2 - 48*l*o*s + 4*l*s**3 - 3*l*s**2 - o*s**3 - s**3 wrt s?\nAnswer: 933360*l*o + 24*l - 6*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/60 and -11\/156336.\nAnswer: 781680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 261\/6345454 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2. Let o(c) = -c + 17. Let t be o(15). Let q(k) = 20 + 28 - 48 + 15*k**t. Determine q(v(u)).\nAnswer: 240*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(1\/2)))**34*l**(-2\/7)*l\/(l*l*l**(-6)*l))**(-17) assuming l is positive.\nAnswer: l**(-2465\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 409\/216 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*d**2 - 219*d\/2 - 323\/2.\nAnswer: (d + 1)*(104*d - 323)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10404 + -5641. List the prime factors of z.\nAnswer: 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 266722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3041486*f**2 - f. Let b(z) = -3*z. Calculate a(b(t)).\nAnswer: 27373374*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 + 137. Calculate the highest common factor of 12 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917867 to the power of 1\/2, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4, 0 = -t + 8*y - 10*y + 129. Suppose 0 = 4*d - 120 + 20. Calculate the highest common divisor of d and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + v - 4)*(2*v**2 + v**2 + 0*v**2)*(15 + 12 - 21)*(-21 + 13*v + 21) to the form w*v**2 + y*v + a + j*v**4 + i*v**3 and give j.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -128318 (base 9) to base 5\nAnswer: -10001023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27646113?\nAnswer: 3, 11, 331, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*p + 6*p**2 + 2*p**2 + 101*p + 2*p**2 - p**2 - 4*p**3 wrt p?\nAnswer: -24*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 - 4*g + 11. Is 16 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -5, -0.2, -6\/313?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 0*q + 5*q)*(0 + 0 - 1) + 4*q - 2*q + q + 4*q - 5 + 5 + (-5 + 3 + 4)*(-2*q - 3*q + 7*q) + (0 - 1 + 0)*(3 - 3 - q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21077 - 1475389\/70. Let f(x) be the third derivative of 0 + 0*x + 8*x**3 + 37*x**2 + 1\/20*x**5 + t*x**7 - 3\/20*x**6 + 3*x**4. Factor f(o).\nAnswer: 3*(o - 4)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -13*n**2. Let v(q) = -625919*q. What is v(f(j))?\nAnswer: 8136947*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -26. Suppose -p*a = 1 - 5. Solve 2*z + 0*v + 3*v + 11 = 0, -a*v - 8 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68262 (base 9) in base 4?\nAnswer: -23011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 675.13 + 6.87. Let n = 685 - o. Which is the third biggest value? (a) -4 (b) 2 (c) -2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/973539 and -151\/1030806?\nAnswer: 17523702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1539) - (sqrt(1539)*-2 + sqrt(1539) + sqrt(1539)))**2 - 4*(sqrt(57)\/sqrt(3) - sqrt(19))).\nAnswer: -1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 19 = -49. Let a = 9 - 4. Suppose -a*h = -20, -w - 5*h + 13 + 5 = 0. Is w > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -28.7\nAnswer: 57.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3042 = -143*s - 3250 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -7*j - 10*j. Let m = 48 + -20. Suppose -p - p = -m. Calculate the least common multiple of j and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 10 = w - 14*j, w - 15 = 3*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.793 and 4.19.\nAnswer: 15.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g - 60. Let w be h(13). Suppose 19 = 4*c - 3*p, 0 = w*c - 5*p + 1 - 26. Sort c, 1, -1 in increasing order.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, 12, -3\/8, -24 in descending order.\nAnswer: 12, 2\/27, -3\/8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2*2 - (6032\/128)\/29).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-10476)\/18)*5*4\/5.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let a(n) = -n. Let l(i) = -5*a(i) + 6*z(i). Let g be l(-6). Suppose -r = -c - 0 - 4, -5*c + 2*r - 11 = g. Put -4, 3, c in ascending order.\nAnswer: -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2*3\/39). Let p = -2534 - -2534. What is the third biggest value in h, 4, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2)**5*(l**(-1))**(3\/4) assuming l is positive.\nAnswer: l**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-10 + -16 + 20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224524523 to the power of 1\/2, to the nearest integer?\nAnswer: 14984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/5))\/(r\/(r\/(r\/(r*r**2\/r)))) assuming r is positive.\nAnswer: r**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(405) + 4 + sqrt(405) + sqrt(405) - (sqrt(1280) - (sqrt(1280) + 0 + sqrt(1280) + sqrt(1280)))**2.\nAnswer: -5116 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 l when four letters picked without replacement from lkgggllg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12303233233 (base 4) to base 15.\nAnswer: 253c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2064 - 2060. Solve -9 = n - i*b, 0 = 4*n - 2*b + 7 - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 3374\nAnswer: 202.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18818, 18815, 18812, 18809, 18806?\nAnswer: 18803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**5 - 1455*g**4 + 106565*g**3 - 102225*g**2 - 210250*g = 0.\nAnswer: -1, 0, 2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1434 + -0.0434. Put f, -3\/4, -1, -7 in ascending order.\nAnswer: -7, -1, -3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -1\/2*r**2 - 4 - 2*r - 2\/3*r**3. Let n(a) = -3*a**2 - a - 3. What is -3*n(l) + 5*v(l)?\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 9 + 3 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3 - -5) + 2529)\/(-4). Let d = o - -621. Let v = 1741 - 34877\/20. What is the common denominator of d and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089249970 rounded to the nearest 100000?\nAnswer: 1089200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2325467, 2325445, 2325423, 2325401, 2325379?\nAnswer: 2325357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4382 (b) -0.5 (c) 2\/17 (d) -1 (e) 0.3 (f) 2 (g) -1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 3. Let y be b(-3). Let d be -6*((-15)\/y - 3). Suppose 116 = 4*l - 5*z, -d*l - z + 4*z = -84. Solve 3*m - k - l = -m, -m + 1 = k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 1. Let f(r) = -47*r**3 + r + 2. Give f(z) + s(z).\nAnswer: -47*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, c: 5, d: 4, k: 1, a: 1}. What is prob of picking 3 c and 1 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r**4 + 9*r**4 - 4*r + r**2 + 7*r**4 - r**4 in the form o + w*r + b*r**3 + h*r**2 + x*r**4 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-9))\/(-1) + -1. Let z(p) = p + 4. Let n be z(-7). What is the closest to 1\/4 in n, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3, t: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5620552 rounded to two decimal places?\nAnswer: 3.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29547099*h**3 - 50 - 29547068*h**3 + 7 - 3*h**2)*(-2*h + h - h).\nAnswer: -62*h**4 + 6*h**3 + 86*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39106 and 542.3065.\nAnswer: -38563.6935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/48 and 52\/27.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/59562 and -23\/11038824?\nAnswer: 33116472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:28 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -36918?\nAnswer: -3691c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 251.\nAnswer: -3, 0, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -17\/25 (b) -1\/4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 17*o + 83. Let d(i) = -7*i + 42. What is -5*d(n) + 2*w(n)?\nAnswer: -2*n**2 + n - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 29 = -4*j, 5*z - 3 - 2 = 0. Let b(p) = 46*p - 111. Does 86 divide b(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27665 + 27665 + 71*l.\nAnswer: 71*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 9 + 7. Let h = -8 + l. What is the lowest common multiple of 4 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716793883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 55*-1 + (1740\/(-18270) - 2\/(-21))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64547604299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from yqqyqqnnq?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5247169236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194 + -78. Let b be 9\/3 - c\/(-4). What is the highest common divisor of b and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 + 322. What is the remainder when o is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i - 33. Let y = -1 - -7. What are the prime factors of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = 2*c. Let y = -46.47 - 0.53. Let o = y + 47. What is the closest to 0.1 in o, -1\/8, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5353861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 127 + 163 = 0. Solve 5*j = 2 - r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-2) - 128\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(15\/9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 5 = 7*j, 5*g - 3*j = 195. What is the highest common divisor of g and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, -10\/3, 23\/25, 8 in decreasing order.\nAnswer: 8, 23\/25, -0.2, -2, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 132748, 132531, 132314, 132097, 131880, 131663?\n\"Answer: -217*c + 132965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 3*u**3 - u**3 + (0 + 0 + u)*(2 - 2*u**2 - 2) + 2*u**3 - 2*u**3 - 9*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 1 = -0*n, -4 = b - 3*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d + 142. Let q = -100 - d. Suppose 2*v - 172 = -q. Calculate the highest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 305*h**2 + 5*h - 297. Let j(y) = 76*y**2 + y - 66. Let i(f) = -9*j(f) + 2*u(f). Let o(l) = -18*l. Determine o(i(t)).\nAnswer: 1332*t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274 + -279. Let w = 42 + -46.2. Which is the second smallest value? (a) u (b) w (c) 5 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 4*a + 7. Let u be d(-5). Suppose 158 = u*i - 10*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1055 - (-7 + 21 - 7). What is the remainder when 366 is divided by o\/14 + 102\/(-119)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(((h\/(h**(-1\/3)\/h))\/h)\/h)*h*h*h)\/h))\/h**14 assuming h is positive.\nAnswer: h**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 2*x + 26. Let o(r) = 2*r**2 + 5*r + 34. Let d(g) = 5*h(g) - 3*o(g). Calculate d(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24)*-1)\/(141\/10575)*4.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/19 - 32*s**3\/19 - 72*s**2\/19.\nAnswer: 2*s**2*(s - 18)*(s + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8814710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 14261*z - 299476. Give q(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 854, 1678, 2500, 3320, 4138, 4954, 5768?\nAnswer: 6580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.03 (b) 5 (c) 0.5 (d) -53 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 276.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212235 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -483*a**3 + 7*a**2 - 11*a + 26. Let j be t(8). Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 7 - 8 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {m: 1, l: 1, f: 4, a: 1, r: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*t = -27852 + 5913 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 685.2516cm in nanometers?\nAnswer: 6852516000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g + 12. Let p be 1*10\/6*-6. Let r be k(p). Let h be (3 + r - 2) + 7. Calculate the highest common divisor of 40 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (343\/2548)\/((-245)\/(-280)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.94063 millimeters in micrometers?\nAnswer: 62940.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138 + 231. Suppose 3*b - q = 2*b - 5*n, -2*n = b - 78. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20324038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 6*y + 5. Let n be d(-6). What is the highest common divisor of 20 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*u - 1 = -91, -40 = -2*x + 26*u - 22*u + 70 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -49*x**6\/120 + 21*x**5\/20 - 9*x**4\/8 - 7*x**3\/2 + 28*x. Let a(l) be the second derivative of b(l). Factor a(i).\nAnswer: -3*(7*i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1397392 divided by 3\nAnswer: -1397392\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-9)\/12*-2). Let n = 2 + g. Suppose -n*v + 25 = -31. Calculate the highest common factor of 35 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-9)\/(-3))*19. Let z = g - -3. Calculate the smallest common multiple of z and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - -1 - 112\/(-42). Let q be (-52)\/(-105) - (-4)\/(-10). Let j = -1 + 5. Sort q, j, f in descending order.\nAnswer: j, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/42120 and -103\/2523150?\nAnswer: 131203800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from {b: 3, d: 6, p: 6}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2 - -12. Let o = 21 - 37. Let h = g + o. Which is smaller: 1.6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-six fifths of a hour?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24336827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 276 = 7*f + 23 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, 47, 196, 409?\n\"Answer: 32*g**2 - 11*g - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52485\/8 or 6562?\nAnswer: 6562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-15)))**(-1\/12) assuming l is positive.\nAnswer: l**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4663002 (base 12) to base 4\nAnswer: 303300021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-11) + 42\/11. Let z(g) = -4*g. Determine z(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754938083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4227854814 to the power of 1\/2, to the nearest integer?\nAnswer: 65022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-30))\/(2\/93). Suppose -2*o = -o - b. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -110215?\nAnswer: 110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**8\/336 + 3*r**7\/14 - 109*r**6\/40 - 3961*r**5\/60 - 403*r**4 - 1014*r**3 + r**2 - 26*r. Suppose m(d) = 0. What is d?\nAnswer: -3, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30385.\nAnswer: 5, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 4*u - 4*u)*(-1 + u + 1) + u**2 + 0*u**2 + u**2 + 2*u**2 - 4*u**2 + 0*u**2 - u**2 - 3*u**2 - 4*u**2 + u**2 + 0 + 0.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.2 and -20.2.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*a + 5 = 0, -81*r - 4*a + 7 = -78*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253610 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 6 = 12*o. Let p(t) = -1 + 0 - 5 + 2*t. Determine p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820559?\nAnswer: 820559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 319*p - 400. Calculate the remainder when l(2) is divided by 76.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/3*20\/700)\/(11\/((-539)\/84)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 4:24 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 10 = -4*m, 16*b + 2*m = 13*b - 28 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 2, a: 1, i: 4, w: 4, m: 6}. What is prob of picking 2 w and 1 i?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 56*b**2 + 6328*b + 66. Determine m(-113).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 228484*f**5\/5 + 110807092*f**4 + 335537242012*f**3\/5 - 392352774916*f**2\/5 + 11723091872*f - 470838080 = 0. Calculate f.\nAnswer: -1213, 20\/239, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1739 = 3*x - 3802. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 3:00 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89\/1116 + 1\/279. Let y(l) be the third derivative of 0 + 0*l + k*l**3 - 1\/240*l**5 - 1\/96*l**4 + 2*l**2. Factor y(w).\nAnswer: -(w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 8*h**3 - 8*h - 15*h.\nAnswer: -7*h**3 - 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(24\/(-72)*1*3). Sort 0.2, q, 3 in descending order.\nAnswer: 3, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47033 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x - 14. Let z = -10 + 14. Suppose 5*f + 5 = 0, 2*f + 0*f = -z*n + 42. Let l(m) = -2*m + 5. What is n*l(q) + 4*v(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**9\/72 + q**7\/210 - q**5\/30 - 5*q**4\/24 - q**2 + 7*q. Find the third derivative of t(v) wrt v.\nAnswer: 840*v**3 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35334152 < 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1879 (b) 4 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u**2 + 7. Let d be w(0). Let h = 55919 + -55920. Let z = -0.3 - 0.2. Which is the nearest to h? (a) z (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -30. Suppose r = -5*i - 24, -5*r - a*i = -3*i. Is 17 a factor of (-126)\/4*(r - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1627 or -914241\/562?\nAnswer: -914241\/562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569.\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 12*j**2 - j + 4. Let f be g(13). What is the greatest common divisor of f and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 413*n + 14059. Calculate s(-374).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 141 + 35. Let a = b - 40. Suppose -2*k - q = -3*q - 10, -k = a*q - 10. Calculate the remainder when 16 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2 - (-1 + 0). Suppose -n*h = -8*h + 20. Suppose h*b = 3*b. Solve 5*z = 3*f - 16, b*f + 3*z + 3 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -629, -955, -1283, -1613, -1945?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*g**3 - 6 + 172*g**3 + 3 + 3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 878 + -434. Calculate the highest common factor of 120 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5607 is divided by -3 + 9 + -1 - (-1 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 41486*d - 1270. Let c be j(-5). What is c rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-5))\/((46\/(-230))\/((-3)\/(-9)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.668533 to three dps.\nAnswer: -0.669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(8\/(-1))\/(75\/80475*116).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140284014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*s**2 + 9*s**3 + 33 + 119*s**2 - 7*s**3 as q*s**2 + d + v*s + f*s**3 and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -54. Let j be ((-24)\/a)\/(10\/2). Let i = 1 - 0.8. What is the biggest value in -2, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23290 and 765?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -4461\/533?\nAnswer: -4461\/533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2+72891593\nAnswer: 72891595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 10. Suppose a = -4*k - 389, 0*k - 502 = 5*k - 4*a. What is the tens digit of k\/(-6) - 2\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 70 = y - 67, 0 = 3*y + 5*v + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:19 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*s**3 - 27*s**2 - 19*s + 27*s**2 + s**3 + 46*s as b*s**2 + i*s + g*s**3 + j and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 325 - 288 + 18*l**2 + 22*l**2 wrt l?\nAnswer: 80*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -131\nAnswer: 131.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2 + 413915*r - 3724830 = 0. What is r?\nAnswer: 9, 82774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, w: 2, t: 8}. What is prob of sequence wt?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234 is divided by 312?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/((-31104)\/54)*(-6)\/((-1)\/1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*y\/(y**(-1)*y*y))\/y)**(12\/7))**(-28)*(y*y**(1\/3))\/(y*y\/(y**(-2\/17)\/y*y))*(y*(y\/y**0)\/y)**(-27) assuming y is positive.\nAnswer: y**(-6313\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkskkszkkkkkskk.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276973737?\nAnswer: 3, 41, 2251819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 26 = -4*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.9 plus 1459?\nAnswer: 1582.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 4)*(-3*p**3 - 2*p**3 - 6*p**3 + (-5*p**2 - p**2 - 2*p**2)*(-4*p - 7*p - 2*p)) to the form f*p**2 + l*p + a*p**3 + x and give a.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/177, 6, -0.19, 4, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 1260?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/9 + -5 + (-175)\/(-21). Solve y + 2*a - 2 = -11, h*a = -2*y - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111000 (base 2) to base 13.\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-6))\/(6017\/(-252714))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.0231 centuries in years?\nAnswer: 3902.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + 573\/288)\/((-2)\/(-93)) and 9\/104.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2067975 and 87445800?\nAnswer: 612120600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(64))\/sqrt(8))**2 - (sqrt(18)\/(sqrt(54) - sqrt(6)) + -6*((sqrt(3)*2)**2 + sqrt(3))).\nAnswer: 11*sqrt(3)\/2 + 1155\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -10, 3, 4, -30, -2 in decreasing order.\nAnswer: 7, 4, 3, 2, -2, -10, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n)**(2\/27)\/(n**(-17)\/n**(-28)) assuming n is positive.\nAnswer: n**(-229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -105*d + 73. Is v(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131206 and 13294.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 + -2 + 25 + 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -da84a4d?\nAnswer: -da84a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 528 and 1794320.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - (-45 - -39).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 235 + -223. What is the least common multiple of v and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -231181, -924824, -2080905, -3699424, -5780381, -8323776?\n\"Answer: -231219*g**2 + 14*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 26. What is the remainder when (4 - -83)*1\/3 is divided by f(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 2*z - 3. Let u(l) = -4*l**2 + 199*l + 6. Give 2*q(i) + u(i).\nAnswer: -6*i**2 + 203*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/30)\/(((-6)\/(-14))\/(2\/35))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438.7 + 438.8. Let y be 10\/3 + 2\/(-1). Let o = -65.4 + 65. What is the nearest to z in y, o, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-7 - -1 - -4). Find the second derivative of -80*c**5 + l*c - 2738 + 2737 + 0*c wrt c.\nAnswer: -1600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 2*j. Suppose 3*t + 9 = -3. Let i be s(t). Suppose 0 = -6*v + v + i. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2\/21 (c) 1\/4 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*x + 5*q, -2*x + 2*q - 5 - 19 = 0. Let k be (-2)\/(-1) + (-2 - -1). Sort k, 4, x.\nAnswer: x, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j**3 + 3*j**2 + 6*j + 7. Let f(z) = -4*z**3 + z**2 + 2*z + 2. What is -7*f(p) + 2*h(p)?\nAnswer: 6*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let s(h) = -4*h + 152. Let l be s(27). Let y be 5\/(30\/(-6)) + l\/24. Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3))**(21\/4)*((d\/(d\/d**(-4\/5)))\/d*d)\/d**5 assuming d is positive.\nAnswer: d**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6276.959um to millimeters.\nAnswer: 6.276959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184927668 a multiple of 4507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53657 is divided by 3781?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + ((-2)\/2 - (1 - 1)). Let m(g) = g**2 - g + 1. Let u(d) = 1163*d**2 + 1172*d**2 - 2 + 2*d - 2342*d**2. Calculate b*m(o) - u(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + 2 - (7 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and (-7 - (-4 - -2))\/((-1)\/9).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 44\/(-4)) + (100 - 2) + -5. Solve 0 = f*b - 96*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10008995, -4, -5 in ascending order.\nAnswer: -10008995, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m + 5. Let r be 6\/(-27) + (-6)\/(-27). Let q be o(r). Suppose 8 = -2*p, -v + 5*v - q*p - 1836 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + z, d - 5*z = 14. What are the prime factors of -39*d\/((-9)\/(-4))*6?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 469 = v - a, 0 = 4*v - 5*a - 439. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185, -7, 6186, 0 in decreasing order.\nAnswer: 6186, 185, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447263295.\nAnswer: 5, 17, 17026627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -18. Suppose 3*q - 9 = -5*y, -2*q - 2*y = 2 - z. Let o(d) = 2*d**3 + 5 + 5*d**2 + 4*d - 4*d**3 + q*d**3. What is o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4))**(-42)*(l**(-21)\/l)\/l**9)**(15\/11) assuming l is positive.\nAnswer: l**(2055\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.308 - 19.69?\nAnswer: -19.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b (base 12) in base 16?\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 3.8, 0.9, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10874763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from iyvvvvivvyxhvvviv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2*n**2 - 10*n - 3. Let g(k) = -k - 3. Let l = 486 - 489. Give l*z(o) + 10*g(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851 - 747 = 13*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3356 - -2568. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*g - 32 = -180, 2*g + 437 = 3*i. What is the remainder when i is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 46 - (1 + -40)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 615633923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59948777 or -59948782?\nAnswer: -59948782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**38\/g)*g*g**7)**32 assuming g is positive.\nAnswer: g**(-928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 120.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -940.5184 + -14.8716. Let a = 951 + m. Let y = a - -3.9. What is y rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 922*n + 106195. Determine a(-238).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 6*y**2. Let r be x(-6). Suppose -3*z = -14 + 2. Let c = r + z. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 107660*k**2 - 26707655*k.\nAnswer: -5*k*(k - 21281)*(k - 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16595 + 16595.1. What is the nearest to 0.1 in 0.27, -0.03, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 49 - 11)*(29 + o**2 - 29)*(-o**3 + 2*o**3 + 0*o**3).\nAnswer: -44*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13690.99 * 256\nAnswer: -3504893.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose -79*j = 74*j - 149*j - 80. Calculate the lowest common multiple of b and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 2*a, -3*a = i - 2. What is the closest to i in 3\/7, 11, 0.6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/504*(-297)\/21?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28490 and 1.1?\nAnswer: 28491.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 4398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:06 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -303305, -1213007, -2729187, -4851851, -7581005, -10916655, -14858807, -19407467?\n\"Answer: -d**3 - 303233*d**2 + 4*d - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411420 = 5*u + 2*m + 411281, 0 = -4*u + 2*m + 4*m - 512 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1605 * 0.3.\nAnswer: 0.34815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5 - 102*a**4 + 1250*a**3 - 1050*a**2 - 1252*a + 1152 = 0.\nAnswer: -1, 1, 18, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/((-14)\/20))\/(36\/84) and 17\/148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3468403 - -4?\nAnswer: 3468407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 3*w, 6 = 3*c - 2*w - 16. Let r be 3\/12*c*2\/(-14). Is r <= 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 9.97. Put -0.1, -5, j in increasing order.\nAnswer: -5, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 2:38 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47380?\nAnswer: 2, 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**4\/24 + 2*u**3 + 939*u**2. Let i(m) = 18*m**2. Calculate i(l(d)).\nAnswer: 18*d**2 + 432*d + 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 974766 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 42*z + 345. What are the prime factors of p(39)?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43634166 to the nearest integer?\nAnswer: 6606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.024, 1953, -2, 28?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 508865\/(-434)*16\/(-280).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1086 (b) 0.04 (c) 0.3 (d) -100.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 12:13 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**4\/4 + 7*y**3\/3 + 9*y**2\/2 + 9*y + 7. Let w(a) = a**3 + 3*a**2 + 4*a + 4. Calculate -4*p(k) + 9*w(k).\nAnswer: 5*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let b(p) = 2*p - 2. Let k be b(t). Suppose -104 = -k*q + 132. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37160 (base 9) to base 10\nAnswer: -24921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppphpzzpppzu. Give prob of sequence uz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -0.11 (c) -1\/4 (d) 0.03 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + s - 1168 = 0, 240 = -3*v + 4*v - 3*s. Suppose 96 = 4*m + 4*x, -m = -0*m - 5*x - 36. What is the greatest common factor of v and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21363876 and 3560646.\nAnswer: 21363876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 1430?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10033636 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17734807*n**2 + 231067008*n wrt n.\nAnswer: -35469614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7920 (base 12) to base 11.\nAnswer: -140966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -604.783 * 61.\nAnswer: -36891.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 5*u + u + 28, -13 = 3*c + u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o - 51. What is k(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-3 - (2 - 2)). Let c = -70 - -71. Let w(a) = a**2 + a + 1. Let k(v) = -v**3 - 5*v**2 - 6*v - 10. Let o(p) = c*k(p) + 5*w(p). Give o(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -65. Suppose -n*q = -5 + 7. Let y = 6 - 3. Sort 4, y, q in ascending order.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 12331?\nAnswer: 12302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-16)*2*-22*(-176)\/968?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*y + 3661 - 2117 = -3208 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 823 + 1518 = 0. What is the remainder when k is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 6:54 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88770261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 5*p**4\/24 + p**3\/2 + p**2. Suppose 66 = 4*t + 2*w, 250*w - 253*w = -9. Calculate the remainder when j(5) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 0.2, -11\/7, 9, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*g + 27*g + 24*g)*((9 - 2*g**2 - 9)*(-2 + 1 + 2) + 7*g**2 - g**2 + 0*g**2) to the form u + p*g**3 + o*g + m*g**2 and give p.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.1, -1, -6\/35 in decreasing order.\nAnswer: -0.1, -6\/35, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319778 is divided by 159852?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:59 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 227 = 212 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 12 = 3*k + 7*p, 0 = -5*k + 4*p - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68603 and 930.\nAnswer: 2058090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - 2*sqrt(99)*-1)*5 + -4 + -1 + sqrt(99) + -4)**2*-2.\nAnswer: -50850 + 1728*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9283, 18549, 27815, 37081, 46347, 55613?\nAnswer: 64879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 + 574152*k**3 - 1722444*k**2 + 1722440*k - 574146 = 0. Calculate k.\nAnswer: 1, 287073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 471 - 453. Suppose 15*n - o*n = r - 146, n - 3*r = 52. What is the remainder when 85 is divided by n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1221*6.\nAnswer: -7326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 3*b**2 + 5*b**2 + b - b + b**2 + (-1 + 4 - 2)*(-b**2 + 7*b**2 + 0*b**2) to l + x*b**2 + u*b and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 25 + 7. Is (-3 + (185 - f))*(-3)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*p + 4)*(2 + p - 2) - 18*p**2 + 18*p**2 + 65*p**2 to a*p + b*p**2 + n and give b.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 - 99 - b as o*b + c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47905?\nAnswer: 5, 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/7*(-1)\/((3\/12)\/(231\/(-132)))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l - 32*l = -85*l. Solve -z + 5*r - 15 = l, 0 = 3*z + r - 3*r + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 3.8. Let p = -7 - i. Which is smaller: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 11*l**2 - 18 + 0*l**3 + l**3 + 1 + 26*l.\nAnswer: (l - 8)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 34. Suppose -4 - m = -4*g. What is the second derivative of -33*q + 21*q - g*q**3 - 21*q wrt q?\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -1829*c**7\/35 - 191*c**4\/24 - c**3 - 2727*c**2. Find the second derivative of w(i) wrt i.\nAnswer: -131688*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -2 - -2 - -5. Suppose -c + b = -0*c. Solve -3*q - g = 10, 3*q - q + 25 = c*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*z**3 - 3 + 2*z + 8*z**2 + 8*z**2 - 37*z**3 in the form f + v*z**2 + i*z**3 + n*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 8164\nAnswer: 31\/8164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 1, r: 4, k: 1}. What is prob of sequence rrk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 8 + 22*v - 22*v)*(49*v**2 + 3350*v - 3350*v).\nAnswer: -49*v**4 - 392*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - 1) - (8 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -9, 1, -647.78?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n - 4*o = 31*n + 244, 56*n - o = 150*n - 5259 for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2511 - 2517. Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1552, -1555, -1558?\nAnswer: -1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48417411 is divided by 396864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-2)*(-3 + 1 + -2) + 18831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3515873, -7031753, -10547633, -14063513, -17579393, -21095273?\n\"Answer: -3515880*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let c be y\/(-10) - 77\/10. Let k = c + 8. What is the biggest value in k, -3, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + sqrt(20) + (sqrt(60)\/sqrt(3))**2 + -1.\nAnswer: 2*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1553 and -112.\nAnswer: -173936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30704900 rounded to the nearest one hundred thousand?\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.849 - -7.819. Which is the third smallest value? (a) 0.31 (b) 3\/5 (c) q (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 25 = -3*s. Suppose v = s*a - 20, -5*v + 5*a = -3*v + 15. Let m(d) = -d + 1. Determine m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10536 and 941.4.\nAnswer: 11477.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + 2*z**4 - 4*z**4 + (0 - z + 0)*(-3*z**3 + 27*z**3 + 6*z**3) + 0*z**4 + 3*z**4 - z**4)*(-3*z - 4*z + 5*z).\nAnswer: 60*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8)*1)\/((-2)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -2, -78, -2\/19?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81, -84, -87, -90?\n\"Answer: -3*t - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005936357 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*s + 9 - 46, 5*a = -s + 128. Let m = a + -12. Let y = m + -9. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 6459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 33*c - 4. Let t be b(-15). Let l = 261 - t. Sort 3, l, 12 in descending order.\nAnswer: 12, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-340452)\/336)\/579*(-40)\/63?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 108720\/3020*-1*26\/(-24)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 270 and -18262.\nAnswer: -4930740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 2. Let n be t(3). Suppose 5*m = -n*k + 10, -3*m = -3*k + 5*k - 6. Solve k = -5*j - 19 - 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -30 - 4*d + 19 + 2*d**2 + 15. What is k(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + 7*l - 626*l**2 - 48*l**3 + 0*l + 45*l**3 as n + r*l**2 + s*l + j*l**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 + p - 13*p + 12*p.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -4983580.\nAnswer: -17\/4983580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -1, 7, -2050, 4 in increasing order.\nAnswer: -2050, -6, -5, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.587358 to one decimal place.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/12 and -40\/81?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + 3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 8 = -5*u, 2 = -r + 2*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**9\/72 - 107*z**7\/210 + 16*z**5 - 24*z**2. What is the third derivative of d(x) wrt x?\nAnswer: -840*x**3 - 2568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240.13 - 240. Let b = 0.142425 - 0.012621. Let x = z - b. What is x rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -426*u**3 - 11*u - 11. List the prime factors of o(-1).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 15, 3*a - 256 = -s - 271 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/(3*(-2)\/213). Suppose 2*o - 3*w = 127 + 774, a = 3*o - 2*w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 9363\nAnswer: 74904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 66 = -4*b, 60 = -2*q - 2*b + 4*b. Let h be (0 - 3)\/((q\/5)\/9). Solve 9 = -2*g + h*a, a - 5 = 3*g - g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 13*h - 2. Let b(t) = t**2 - t - 1. Let y(s) = -6*b(s) - g(s). Let c be y(1). What is the units digit of -2 + (72\/10)\/(c\/(-100))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64181 is divided by 1492.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t + 3*j - 3, -2*t = j + 2. Let z = 885\/17 - 3523\/68. What is the second smallest value in t, -1, z, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 763 = 2*f + 755, -10 = -3*f + 5*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 3*r - 1, 0 = -5*r. Suppose 2*i = -0*i + 6. Suppose -4*m = -a - i. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10660914?\nAnswer: 2, 3, 11, 23, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3119707 is divided by 177.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010010100 (base 2) in base 8?\nAnswer: -5224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.3, 5\/12, -2\/31, 1?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - r + 0*r = -24, 5*n - 20 = -5*r. Solve 0 = n*a + 2*o - 17, 2*a - 4*a + 5*o = -30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -431327.93 - -431320.2299908. Let y = f - -7.7. Round y to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1, -8, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 17*o**2. Suppose -3*q - 2 = -8, 5*a + 3*q = 11. Let f(b) = 1. Let d(u) = -4*u - 6. Let y(t) = a*d(t) + 6*f(t). Give l(y(s)).\nAnswer: 272*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -985*f**4\/12 - f**3\/2 + 31*f**2\/2 + 20*f - 4. Find the second derivative of k(b) wrt b.\nAnswer: -1970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 291 = -15*z + 16*z, 2*z + 4*c - 602 = 0. Suppose 22 + 32 = 2*k. What is the highest common factor of k and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 11:02 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -387 - -239. Let p = a + 268. What is the greatest common divisor of 48 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0274 to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -5, -2, 3, -9, -4.\nAnswer: -9, -5, -4, -2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j. Let h(r) = -r**2 + 12*r - 9. Give 3*c(m) - h(m).\nAnswer: m**2 - 6*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 104688.1cm in micrometers?\nAnswer: 1046881000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 4*y + 2. Let r be u(4). Let b(s) = 13 - r*s - 13. Let l(a) = 0*a**2 - 3*a**2 + 2*a**2 + 2*a**2. What is b(l(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.3, 2, -9787, 4\/133 in ascending order.\nAnswer: -9787, -1\/5, 4\/133, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 6552.\nAnswer: -78624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**4 - 3*q**3 - 30*q**2 + 132*q + 2348401 wrt q.\nAnswer: 8*q**3 - 9*q**2 - 60*q + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 2*j**2 - 3*j)*(852 + 800 - 1128) to the form k*j + s + y*j**2 and give y.\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j - 2*g, -40*j - 4*g = -36*j - 16. Suppose -1321 = -j*d - 5*h, -2*d + 1647 = 3*d + 2*h. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2 + 6. Let o be (-1)\/s - 42\/(-8). Suppose -3*k + 17 - o = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 + 8\/5*r**2 - 2\/5*r**3 - 2*r.\nAnswer: -2*(r - 2)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700 divided by -4.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}