instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
-18 * 0.2\n | -3.6\n | ibivibiv/math_instruct | |
(-5)/((-9)/(-4)*(-480)/(-432))\n | -2\n | ibivibiv/math_instruct | |
Four letters picked without replacement from rcttttqtt. What is prob of sequence tqct?\n | 5/504\n | ibivibiv/math_instruct | |
Suppose 2*b - 189 = 3*w, 13*b = 9*b - 3*w + 369. What is the units digit of b?\n | 3\n | ibivibiv/math_instruct | |
Let h be (40 - -2)/((-8)/(-20)). Let m = -5 - -7. Suppose 2*x - v = -m*x + 85, 5*x - h = v. Calculate the lowest common multiple of x and 24.\n | 120\n | ibivibiv/math_instruct | |
What is 2041 to the power of 1/3, to the nearest integer?\n | 13\n | ibivibiv/math_instruct | |
What is -0.3 times 20.3078?\n | -6.09234\n | ibivibiv/math_instruct | |
What is 56 minutes after 10:22 AM?\n | 11:18 AM\n | ibivibiv/math_instruct | |
Rearrange 101977 + j**2 + 101979 + 2071*j - 203954 to v*j**2 + k*j + s and give v.\n | 1\n | ibivibiv/math_instruct | |
Let q(x) = 4*x**2. Let y(a) = 23499000*a**2. What is y(q(w))?\n | 375984000*w**4\n | ibivibiv/math_instruct | |
Let n(v) = -v + 18. Let o be n(8). Let k(t) = -3503*t + 30. Let a be k(o). What is a rounded to the nearest 10000?\n | -40000\n | ibivibiv/math_instruct | |
Product of 52955 and -15.\n | -794325\n | ibivibiv/math_instruct | |
Round -0.00000104130386 to seven decimal places.\n | -0.000001\n | ibivibiv/math_instruct | |
Let z(i) = -3*i - 360. Let m(q) = -2*q - 1. Let l(d) = 6*m(d) - z(d). What is the hundreds digit of l(0)?\n | 3\n | ibivibiv/math_instruct | |
Is 1074785359 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let h be (-37 + -268)*87/(-15). What is the greatest common divisor of h and 203?\n | 29\n | ibivibiv/math_instruct | |
Simplify (sqrt(55) + -3*sqrt(55)*1 + sqrt(165)/(1*sqrt(3)))/(6*(sqrt(180)*-2 - sqrt(180)) + -2*-2*sqrt(180)).\n | sqrt(11)/84\n | ibivibiv/math_instruct | |
Solve -k**4 + 2272*k**3 + 34242*k**2 + 144000*k + 185247 = 0.\n | -9, -3, 2287\n | ibivibiv/math_instruct | |
Let k = 4 - -37. Suppose -j = k - 78. What are the prime factors of j?\n | 37\n | ibivibiv/math_instruct | |
Calculate the remainder when 2626825 is divided by 656704.\n | 9\n | ibivibiv/math_instruct | |
What is 54357 to the power of 1/4, to the nearest integer?\n | 15\n | ibivibiv/math_instruct | |
Divide 0 by 243.\n | 0\n | ibivibiv/math_instruct | |
Is 162179 composite?\n | True\n | ibivibiv/math_instruct | |
Does 22 divide 3267?\n | False\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-52.1497 - 99.3036) / (-8.6646 / 35.7107) | 624.2069 | ibivibiv/math_instruct | |
What is the next term in 2237, 2231, 2221, 2207, 2189, 2167, 2141?\n | 2111\n | ibivibiv/math_instruct | |
Which is smaller: -3/158 or -1?\n | -1\n | ibivibiv/math_instruct | |
Let q(k) = 2276*k. Let y(i) = -61*i. Give q(y(p)).\n | -138836*p\n | ibivibiv/math_instruct | |
List the prime factors of 339974.\n | 2, 169987\n | ibivibiv/math_instruct | |
Suppose 0 = -163*w + 166*w. Suppose -489 = -b + 2*k + 41, w = -b - 4*k + 560. Is 23 a factor of b?\n | False\n | ibivibiv/math_instruct | |
How many grams are there in 11/2 of a kilogram?\n | 5500\n | ibivibiv/math_instruct | |
How many minutes are there between 6:35 AM and 8:22 AM?\n | 107\n | ibivibiv/math_instruct | |
Calculate the remainder when 1340 is divided by 237.\n | 155\n | ibivibiv/math_instruct | |
What is the maximum Lyapunov exponent for the Chirikov-Taylor map with initial condition x(0) = 0.5 and k=0.5? | The Chirikov-Taylor map, also known as the standard map, is a two-dimensional area-preserving map defined by the following equations:
x(n+1) = x(n) + y(n+1) (mod 1)
y(n+1) = y(n) + k * sin(2 * π * x(n)) (mod 1)
where x(n) and y(n) are the coordinates at the nth iteration, and k is the parameter controlling the streng... | ibivibiv/math_instruct | |
Let a(s) = -53*s**3 - 2*s**2 + 2*s - 3. Let k(q) = 108*q**3 + 5*q**2 - 5*q + 7. Determine -5*a(p) - 2*k(p).\n | 49*p**3 + 1\n | ibivibiv/math_instruct | |
Solve 0 = 8014*s - 8026*s + 816 for s.\n | 68\n | ibivibiv/math_instruct | |
Let f = 0 + -8. Let r = 4 + f. Let c be ((-2)/(-2))/((-1)/(-2)). Sort c, -3, r in descending order.\n | c, -3, r\n | ibivibiv/math_instruct | |
5 times -56.175\n | -280.875\n | ibivibiv/math_instruct | |
Let f = -45 - -64. Suppose -5*q = -616 - 239. What is the greatest common divisor of q and f?\n | 19\n | ibivibiv/math_instruct | |
Let s(c) be the first derivative of c**3 - 2*c**2 + 3*c - 1. Let q(x) = 4*x**2 - 5*x + 3. Suppose 24 = -29*f + 23*f. Give f*q(l) + 5*s(l).\n | -l**2 + 3\n | ibivibiv/math_instruct | |
Calculate (-4)/(-38) + 1350/(-3800).\n | -1/4\n | ibivibiv/math_instruct | |
Let m = 7.1 - 7. Let k = 12 - 9.5. Let g = k + -3. Which is the closest to m? (a) -5 (b) -0.2 (c) g\n | b\n | ibivibiv/math_instruct | |
Suppose 3*j + 7 - 28 = 2*h, j = 5*h + 20. Let o(s) = -2*s - 1. Let w be o(-1). Which is smaller: h or w?\n | h\n | ibivibiv/math_instruct | |
Sort 1/111, 2/7, -0.8, 3, -0.1, -14 in ascending order.\n | -14, -0.8, -0.1, 1/111, 2/7, 3\n | ibivibiv/math_instruct | |
What is the thousands digit of 1965056092?\n | 6\n | ibivibiv/math_instruct | |
Let u(d) = -44*d - 32. Let v be 1 - 5 - (213 - 249). Let j(s) = 4*s + 3. Determine v*j(y) + 3*u(y).\n | -4*y\n | ibivibiv/math_instruct | |
Let t be ((-2 - -2) + 2)*1. Suppose -c - t*c = -189. List the prime factors of (-2)/7 - (-2286)/c.\n | 2, 3\n | ibivibiv/math_instruct | |
Solve 6*o = -15*o + 84 for o.\n | 4\n | ibivibiv/math_instruct | |
Work out 14363.27 * -3.\n | -43089.81\n | ibivibiv/math_instruct | |
((-1)/(-4)*10)/((-36)/24 + 2)\n | 5\n | ibivibiv/math_instruct | |
Expand (-4*w - 2*w - 4*w**2 + 5*w)*(0*w + w - 3*w + (3 + 0 - 1)*(-4*w + 2*w - w))*(0*w - 2*w + w).\n | -32*w**4 - 8*w**3\n | ibivibiv/math_instruct | |
Which is smaller: -1 or 22/9749?\n | -1\n | ibivibiv/math_instruct | |
Let f = 18 + -16. Suppose 1 + 3/2*p + 1/2*p**f = 0. What is p?\n | -2, -1\n | ibivibiv/math_instruct | |
Let q(x) = -x**2 + x + 1. Let u(i) = 2*i**2 - 11 - 13 - 5*i - 12 + 31. Calculate 4*q(f) + u(f).\n | -2*f**2 - f - 1\n | ibivibiv/math_instruct | |
What is 4/((5/25)/((-1)/(-5)))?\n | 4\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 215367208?\n | 6\n | ibivibiv/math_instruct | |
Let n be (4/(-10))/((-6)/15) + 2. Suppose 0 = n*m + 112 - 184. Solve 3*r = -3*r - m for r.\n | -4\n | ibivibiv/math_instruct | |
Let y = -48 + 69. Suppose -y*b + 57 = -6. Solve -46 = b*x - 52 for x.\n | 2\n | ibivibiv/math_instruct | |
Let x = -25 - -25. Suppose t - 60 = -10*j + 7*j, x = 4*t - j - 227. Calculate the remainder when 164 is divided by t.\n | 50\n | ibivibiv/math_instruct | |
Let t(f) = 4834*f - 14475. What is the lowest common multiple of 501/15 + (-6)/15 and t(3)?\n | 297\n | ibivibiv/math_instruct | |
Suppose 32 = t + t. Let d be 9/4 + (-4)/t. Suppose 0 = -5*g + d*x + 31, g + 2*x - 2 = 9. What is the units digit of g?\n | 7\n | ibivibiv/math_instruct | |
What is the next term in 58232, 232913, 524048, 931643, 1455704, 2096237, 2853248?\n | 3726743\n | ibivibiv/math_instruct | |
Suppose 7*w = 28*w + 8 - 8. Solve 5*p = y - 4*y - 17, 4*y - 5*p + 11 = w for y.\n | -4\n | ibivibiv/math_instruct | |
What is 0.2738865682 rounded to 1 dp?\n | 0.3\n | ibivibiv/math_instruct | |
Let s(o) = 3*o + 5. Let y be s(5). Suppose 5*t = 2*b - 46 - 17, 4*t = b - 33. Let u = b - 19. What is the highest common factor of u and y?\n | 10\n | ibivibiv/math_instruct | |
Collect the terms in -72 - 39*j - 86 + 42*j - 59 + 217.\n | 3*j\n | ibivibiv/math_instruct | |
What is the result of the following expression?
45.6522 % (76.5354 * 5.5773) | 45.6522 | ibivibiv/math_instruct | |
Sort -2, 34477, -14, 2 in increasing order.\n | -14, -2, 2, 34477\n | ibivibiv/math_instruct | |
-1330202 (base 8) to base 5\n | -43412431\n | ibivibiv/math_instruct | |
Let a(p) = -p**3 - 14*p**2 + 16*p + 19. Let k be a(-15). Suppose -5*r = -3*y - 22, -3*r + 5*y + k + 22 = 0. Suppose r*s + 100 = 12*s. Solve -2*h - s = -0 for h.\n | -5\n | ibivibiv/math_instruct | |
7520 (base 9) to base 14\n | 202a\n | ibivibiv/math_instruct | |
What is -517390 rounded to the nearest one hundred thousand?\n | -500000\n | ibivibiv/math_instruct | |
b"What is the xth term of 55, 55, 57, 61, 67?\n" | x**2 - 3*x + 57\n | ibivibiv/math_instruct | |
What is the third root of 1193587 to the nearest integer?\n | 106\n | ibivibiv/math_instruct | |
Expand g**5 + 4*g - 4*g - 74*g - 7*g**5 + 74*g + (2*g**5 - 3*g**5 - g**5)*(-6 + 3 - 1).\n | 2*g**5\n | ibivibiv/math_instruct | |
Add together -10473716048 and 53.\n | -10473715995\n | ibivibiv/math_instruct | |
Find o, given that -3*o**3/8 - 7683*o**2/8 = 0.\n | -2561, 0\n | ibivibiv/math_instruct | |
42 + (-21 - 8) - 28\n | -15\n | ibivibiv/math_instruct | |
Solve -3*q - 5*x + 87 = 70, 2*q - 6 = -2*x for q.\n | -1\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {e: 1, f: 2, w: 1, s: 2}. Give prob of picking 2 e and 1 w.\n | 0\n | ibivibiv/math_instruct | |
In base 15, what is -1261 - 1?\n | -1262\n | ibivibiv/math_instruct | |
What is prob of sequence wknk when four letters picked without replacement from {w: 1, q: 1, k: 3, h: 4, n: 2}?\n | 1/660\n | ibivibiv/math_instruct | |
Let b be (4 - 1)*1*(-97)/97. Let v(i) be the first derivative of i**4/4 + i**3 - i**2 - 1. Determine v(b).\n | 6\n | ibivibiv/math_instruct | |
Suppose 5*x + 228 - 223 = 0. Let g(f) = 3*f. Calculate g(x).\n | -3\n | ibivibiv/math_instruct | |
Factor -26*n**3 + 153612*n**2/7 - 32414664*n/7 + 712336/7.\n | -2*(n - 422)**2*(91*n - 2)/7\n | ibivibiv/math_instruct | |
Let f = 148/295 + -6/59. Put f, -1/8, 5 in increasing order.\n | -1/8, f, 5\n | ibivibiv/math_instruct | |
Calculate -1*353838.\n | -353838\n | ibivibiv/math_instruct | |
Let m(v) = 19*v**3 + 11*v**2 + 7*v + 75. Let r(s) = -6*s**3 - 2*s**2 + s. Let l(x) = -m(x) - 3*r(x). Give l(-6).\n | 21\n | ibivibiv/math_instruct | |
Let w be 12/(-14) - (-22)/(-154). Let u be 10/(-4 - -6) + w - -1. Solve l - 20 = u*l for l.\n | -5\n | ibivibiv/math_instruct | |
In base 13, what is 336195 + 1?\n | 336196\n | ibivibiv/math_instruct | |
Suppose -2*z = -565 + 23. List the prime factors of z.\n | 271\n | ibivibiv/math_instruct | |
Let i(d) = d**2 + 64*d + 185. Calculate i(-61).\n | 2\n | ibivibiv/math_instruct | |
Let t = 0.6 + -1.3. Let i = -131 - -130. Which is the closest to 0? (a) t (b) i (c) 1/8\n | c\n | ibivibiv/math_instruct | |
What is the closest to 0.2 in 4/79, -0.1, 2/3?\n | 4/79\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) -5 (b) 0.2 (c) 11 (d) 0.415\n | d\n | ibivibiv/math_instruct | |
Let j = 58 - 59. Which is the nearest to j? (a) -5 (b) -1 (c) 4\n | b\n | ibivibiv/math_instruct | |
Let a(h) = h**3 - 4*h**2 + 2*h - 49. What is a(6)?\n | 35\n | ibivibiv/math_instruct | |
What is -6 + (4 - 3) - -9?\n | 4\n | ibivibiv/math_instruct | |
Calculate 13327038803 - 1966.\n | 13327036837\n | ibivibiv/math_instruct | |
Let f = 8 - 5. What is the third derivative of -4*y**2 - 2*y**6 + y**2 - 2*y**f + 2*y**3 wrt y?\n | -240*y**3\n | ibivibiv/math_instruct |
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