instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Work out 9564 * -0.1.\n | -956.4\n | ibivibiv/math_instruct | |
Convert 28509 (base 10) to base 13.\n | cc90\n | ibivibiv/math_instruct | |
What is the closest to -3 in -7, 3/7, -6/11?\n | -6/11\n | ibivibiv/math_instruct | |
Let f be 4/(-24) - (-13330)/60. Suppose -212*x = -f*x + 1820. Which is greater: 183 or x?\n | 183\n | ibivibiv/math_instruct | |
Let g(w) be the first derivative of -146*w**7/7 - w**5/5 + 218*w**3/3 + 38. What is the third derivative of g(m) wrt m?\n | -17520*m**3 - 24*m\n | ibivibiv/math_instruct | |
Suppose 1901*g = 1896*g + 35. Solve 2*d + 2*t = g*d + 4, -3*t - 1 = -4*d for d.\n | -2\n | ibivibiv/math_instruct | |
Suppose 27*w - 870 - 1425 = 0. Calculate the remainder when 1013 is divided by w.\n | 78\n | ibivibiv/math_instruct | |
Let s(d) = 874*d - 11. Is s(3) a composite number?\n | True\n | ibivibiv/math_instruct | |
Is 32 a factor of 9932?\n | False\n | ibivibiv/math_instruct | |
Suppose 0*i - 4 = -2*i. Suppose -4 = -i*p + 2. Suppose 4*t = 3*t + 3*w + 25, 0 = 5*t + p*w - 197. Is t a prime number?\n | True\n | ibivibiv/math_instruct | |
What is 6036aa (base 11) in base 13?\n | 280056\n | ibivibiv/math_instruct | |
Suppose f - 78 = -53. Suppose -51*l = -46*l - f. Calculate the common denominator of (-5)/(25/l) + 23/36 and -49/8.\n | 72\n | ibivibiv/math_instruct | |
What is the nearest to 28 in -2, 3/7, -0.2?\n | 3/7\n | ibivibiv/math_instruct | |
Simplify ((n*n**(-4))/n)/n**27*(n*n/(n*n*(n/(n*(n/((n*n**(-25)/n)/n))/n*n))/n))/((n**(-3/16)*n)/n) assuming n is positive.\n | n**(-45/16)\n | ibivibiv/math_instruct | |
380 divided by -76\n | -5\n | ibivibiv/math_instruct | |
Factor -g**3/4 - 2*g**2 + 31*g/4 - 11/2.\n | -(g - 2)*(g - 1)*(g + 11)/4\n | ibivibiv/math_instruct | |
Calculate (0 - 3) + 6 - (-5 + 9).\n | -1\n | ibivibiv/math_instruct | |
Let z = -2 - -23. Suppose -2*a = -a - 2. Suppose -d = -3*x - 20, -a*x = -0*x + 4. What is the highest common divisor of z and d?\n | 7\n | ibivibiv/math_instruct | |
-78+12.8\n | -65.2\n | ibivibiv/math_instruct | |
Does 5 divide 265?\n | True\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 2142 and 378.\n | 126\n | ibivibiv/math_instruct | |
Let f(k) be the first derivative of k**6/1440 - 3*k**5/80 - 19*k**4/96 + 11*k**3/3 - 143. Let w(m) be the third derivative of f(m). Factor w(h).\n | (h - 19)*(h + 1)/4\n | ibivibiv/math_instruct | |
What is -4.548 take away -1?\n | -3.548\n | ibivibiv/math_instruct | |
Let k(j) = 68*j**2 + 20*j - 159. Let i be k(13). Suppose 3*l - 9235 - 2364 = -2*z, -z - i = -3*l. Is l a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the square root of 5533848 to the nearest integer?\n | 2352\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-89.4573 - -84.3189 | -5.1384 | ibivibiv/math_instruct | |
What is the second biggest value in -5/2, -1/24, 3281/281, 3/4, -5?\n | 3/4\n | ibivibiv/math_instruct | |
Is 17509 a prime number?\n | True\n | ibivibiv/math_instruct | |
Suppose -3*n = 5*y - 14351, -9090 = -5*n + 4*y + 14890. Let b = -256009/56 + -1591/7. Let z = n + b. Find the common denominator of z and -50/11.\n | 88\n | ibivibiv/math_instruct | |
Suppose 47*m - 97 = 138. Let t be 14/4*(-1 + 3). Let w = -12 + t. Which is the second smallest value? (a) 0.03 (b) m (c) w\n | a\n | ibivibiv/math_instruct | |
Let f(y) = 19*y**2 + 1. Suppose 3*u - 3544 = 4*b, 104*u + 1180 = 105*u - 2*b. Let h(c) = -2*c - u + 1184. Determine f(h(s)).\n | 76*s**2 + 1\n | ibivibiv/math_instruct | |
b"What is the jth term of 345249, 690512, 1035799, 1381122, 1726493, 2071924, 2417427?\n" | 2*j**3 + 345249*j - 2\n | ibivibiv/math_instruct | |
What is the third derivative of -4282*i**5 - 4*i**4 - i**3 + 19*i**2 - 477041*i?\n | -256920*i**2 - 96*i - 6\n | ibivibiv/math_instruct | |
Let p(b) = -1. Let k(j) = -2*j - 8. Let q(u) = -2. Let n(d) = -k(d) + 5*q(d). What is -2*n(s) + 4*p(s)?\n | -4*s\n | ibivibiv/math_instruct | |
Let a(s) be the third derivative of 0 - 3/70*s**7 + 0*s + 18*s**2 + 0*s**5 + 14/3*s**3 + 0*s**6 + 0*s**4. What is the derivative of a(i) wrt i?\n | -36*i**3\n | ibivibiv/math_instruct | |
Let -3*l**4 + 240*l**3 - 6750*l**2 + 75000*l - 234375 = 0. Calculate l.\n | 5, 25\n | ibivibiv/math_instruct | |
Which is smaller: 10 or -0.3?\n | -0.3\n | ibivibiv/math_instruct | |
Collect the terms in -37*q - 30*q + 59*q.\n | -8*q\n | ibivibiv/math_instruct | |
Let w = -23.257 - -22.257. What is the closest to 65 in 7, w, 2?\n | 7\n | ibivibiv/math_instruct | |
Suppose 0 = p + 2*p - 5*o - 55, p - 2*o - 20 = 0. Let f = 25 - p. Let y(a) = -a**3 + 20*a**2 - 18*a - 16. Let c be y(19). Solve 0 = -c*u - 2*u + f for u.\n | 3\n | ibivibiv/math_instruct | |
Suppose -4*d + 3 = -v, 108*d = 106*d + 4*v - 2. What are the prime factors of -8 - -9 - d - -1444?\n | 2, 19\n | ibivibiv/math_instruct | |
What is 463 minutes before 9:53 AM?\n | 2:10 AM\n | ibivibiv/math_instruct | |
Let m = 9 - 9.01. Let s = 100 - 100.41. Let a = s - m. What is the nearest to -2 in a, 4, 0?\n | a\n | ibivibiv/math_instruct | |
What is (-12 - -1 - -23 - (-19 + 19)) + -113?\n | -101\n | ibivibiv/math_instruct | |
Let k = -1/873 - 2617/1746. What is the third biggest value in 3, 15/8, k?\n | k\n | ibivibiv/math_instruct | |
What comes next: -292, -1172, -2676, -4834, -7676, -11232?\n | -15532\n | ibivibiv/math_instruct | |
Rearrange (40 - 15 - 23)*(-p - 2 + 6*p - 4*p) + 5*p - 3*p + p to i*p + k and give k.\n | -4\n | ibivibiv/math_instruct | |
Four letters picked without replacement from fppfpffppfffp. What is prob of sequence ppff?\n | 21/286\n | ibivibiv/math_instruct | |
Evaluate 12/33 - 60/(-77).\n | 8/7\n | ibivibiv/math_instruct | |
Simplify (3 + -5 + 1 + sqrt(45) + (sqrt(110)/sqrt(2))/sqrt(11))**2 + (3*(sqrt(605) + 1 + sqrt(605) + sqrt(605)) - (2 + (-4*sqrt(15)/sqrt(3) - sqrt(5))))**2.\n | 200*sqrt(5) + 54162\n | ibivibiv/math_instruct | |
Is 338543 a composite number?\n | False\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 27467 and 605.\n | 121\n | ibivibiv/math_instruct | |
b"What is the wth term of 1958, 4960, 7962, 10964?\n" | 3002*w - 1044\n | ibivibiv/math_instruct | |
Convert -1 (base 15) to base 16.\n | -1\n | ibivibiv/math_instruct | |
What is the tens digit of 6400?\n | 0\n | ibivibiv/math_instruct | |
Find the common denominator of -3/52 and 23/8396.\n | 109148\n | ibivibiv/math_instruct | |
-57914 + 2\n | -57912\n | ibivibiv/math_instruct | |
Suppose -5*n + 1 = u - 7, -n = 4*u + 6. Suppose -5*z = -5*p + 65, n*p - 5*z - 20 = -0. What is the tens digit of p?\n | 1\n | ibivibiv/math_instruct | |
Solve 3246 + 426 = -28203*l + 28275*l for l.\n | 51\n | ibivibiv/math_instruct | |
Let o = -0.05634 + -574.88366. Let h = o - -575. Which is the smallest value? (a) -1 (b) -3/4 (c) 0.2 (d) h\n | a\n | ibivibiv/math_instruct | |
Let j(m) = -2*m**3 - 2*m**2 + 2*m. Suppose -5*c = g + 8, 2*c - 75 = -3*g - 2*g. Suppose k + 36 = -g*k. Determine j(k).\n | 4\n | ibivibiv/math_instruct | |
What is -9.2130459 rounded to 3 dps?\n | -9.213\n | ibivibiv/math_instruct | |
What is prob of sequence bybo when four letters picked without replacement from oyyooyyoyyyybyyybyo?\n | 5/3876\n | ibivibiv/math_instruct | |
Solve -16*n - 21 + 101 = 0 for n.\n | 5\n | ibivibiv/math_instruct | |
How many milligrams are there in 41/2 of a gram?\n | 20500\n | ibivibiv/math_instruct | |
Let b(i) = -3*i. Let m(t) be the first derivative of 0*t**2 + 0*t - 1/3*t**3 - 4. What is m(b(z))?\n | -9*z**2\n | ibivibiv/math_instruct | |
Suppose -4*t - 959 = x - 2*t, -2891 = 3*x - t. Let j be 4/(-6)*x/(-6). What is the common denominator of (j + 1)*5/(-180) and -93/10?\n | 90\n | ibivibiv/math_instruct | |
What is 316817.8 micrometers in centimeters?\n | 31.68178\n | ibivibiv/math_instruct | |
Let x = -2482 - -2465.93. Let s = 16 + x. Let r = 0.13 - s. What is the closest to 1/2 in 2/13, r, 0?\n | r\n | ibivibiv/math_instruct | |
Simplify (5*(sqrt(5) + (sqrt(245)*2)**2)*5 - (-5*sqrt(225))/(sqrt(125)*-2))*2.\n | 47*sqrt(5) + 49000\n | ibivibiv/math_instruct | |
Let r = -14 - -10. Let s be 2*1/(-10) - 0. Sort -2/9, s, r.\n | r, -2/9, s\n | ibivibiv/math_instruct | |
Does 14 divide 267?\n | False\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 39 and 195.\n | 195\n | ibivibiv/math_instruct | |
Simplify v**(-3/28)/(v/(v/(v*v**26*v*v)*v*v)) assuming v is positive.\n | v**(-759/28)\n | ibivibiv/math_instruct | |
What is the hundreds digit of 95402388?\n | 3\n | ibivibiv/math_instruct | |
Let o = -257.5 - -254.5. Let s = 21.7 + -22. What is the third biggest value in o, s, 0.17?\n | o\n | ibivibiv/math_instruct | |
What is 32 (base 8) in base 3?\n | 222\n | ibivibiv/math_instruct | |
Which is greater: 1124 or 1123?\n | 1124\n | ibivibiv/math_instruct | |
Let r(n) = n**3 - 124*n**2 + 127*n - 327. Calculate r(123).\n | 165\n | ibivibiv/math_instruct | |
What comes next: 4035, 8080, 12127, 16176?\n | 20227\n | ibivibiv/math_instruct | |
What is the thousands digit of 17784?\n | 7\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 628668 and 157167.\n | 628668\n | ibivibiv/math_instruct | |
Suppose 0 = -59*o + 393 + 1579 + 683. Calculate the highest common divisor of 645 and o.\n | 15\n | ibivibiv/math_instruct | |
-110482 * 3.6\n | -397735.2\n | ibivibiv/math_instruct | |
List the prime factors of 6844.\n | 2, 29, 59\n | ibivibiv/math_instruct | |
Is 24407 a composite number?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 8*a + 517 + 2*a - 31 + 567 + 10*a + 7*a**2.\n | 7*a**2 + 20*a + 1053\n | ibivibiv/math_instruct | |
Evaluate 15/20*(-144584)/2046.\n | -53\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 13410555?\n | 4\n | ibivibiv/math_instruct | |
Calculate prob of picking 3 s and 1 i when four letters picked without replacement from {s: 6, i: 6}.\n | 8/33\n | ibivibiv/math_instruct | |
Simplify sqrt(176)*2 + -5 + 5.\n | 8*sqrt(11)\n | ibivibiv/math_instruct | |
Let u(k) = -k**2 + 1. Let y be u(-1). Let a be 2 - (6/(-2))/(-3). Solve y = 2*f - a + 5 for f.\n | -2\n | ibivibiv/math_instruct | |
What is prob of picking 1 r and 1 n when two letters picked without replacement from vnvrrvrxxvhvvyvrr?\n | 5/136\n | ibivibiv/math_instruct | |
Let w = 33 - 7. What is the tens digit of w?\n | 2\n | ibivibiv/math_instruct | |
Let g(u) = -3*u**3 + 9*u**2 + 2*u + 3. Let b be g(3). Let x be (-3)/(((-36)/4)/3). Solve -5*z + x + 4 = 5*h, b = -5*h + 2*z for h.\n | -1\n | ibivibiv/math_instruct | |
Find u such that u**4/6 - 3767*u**3/6 - 3769*u**2/2 - 11309*u/6 - 1885/3 = 0.\n | -1, 3770\n | ibivibiv/math_instruct | |
Let d = 43 + -42.93. What is d rounded to 2 dps?\n | 0.07\n | ibivibiv/math_instruct | |
Let f(j) = j**2 - 11*j - 10. Let c be f(12). Suppose 2*t - 6 + c = 2*u, -3*t + 30 = 5*u. Is u a prime number?\n | True\n | ibivibiv/math_instruct | |
Suppose -53895930 = -0*w + 6*w. Let r = 32682655 + w. What is r rounded to the nearest one million?\n | 24000000\n | ibivibiv/math_instruct | |
What is prob of picking 2 n and 1 v when three letters picked without replacement from {n: 3, a: 1, v: 1}?\n | 3/10\n | ibivibiv/math_instruct |
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