instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is -1 (base 6) in base 8?\n | -1\n | ibivibiv/math_instruct | |
Let o = 0.1 - 0.4. Let n = 19 - 14. What is the smallest value in -2, n, o?\n | -2\n | ibivibiv/math_instruct | |
Solve -2*q**4/15 + 52*q**3/3 - 296*q**2/3 - 208*q/3 + 1984/5 = 0 for q.\n | -2, 2, 6, 124\n | ibivibiv/math_instruct | |
Expand -2*d**5 - 18*d**5 - 6*d**5 + 0*d**5 - d**5 + 0*d**5 + (-4*d**2 - 2*d**2 + 5*d**2)*(-5*d**3 + 2*d**3 + d**3) + 3*d**5 - d**5 + 0*d**5.\n | -23*d**5\n | ibivibiv/math_instruct | |
Let i(x) = 2*x**2 + 2*x + 2. Let t be i(-1). Solve u + 3*u = -t*g - 4, -2*g - 4 = 0 for u.\n | 0\n | ibivibiv/math_instruct | |
Let s(c) = 2*c**2 - c - 1. Suppose -5*i = 5*y + 5, -4*y - 21 = 5*i - 3*y. Let j = i + 8. Suppose -j + 5 = h. Give s(h).\n | 5\n | ibivibiv/math_instruct | |
Does 32 divide ((-8)/(-10) - 39252/(-210))/(2/70)?\n | False\n | ibivibiv/math_instruct | |
Put -2, 2, -1, -33, 4 in descending order.\n | 4, 2, -1, -2, -33\n | ibivibiv/math_instruct | |
Solve -5*x = -2*s - 8, 4*s + 3*x + 16 = -2*x for s.\n | -4\n | ibivibiv/math_instruct | |
What is the next term in -7232, -7227, -7220, -7211, -7200?\n | -7187\n | ibivibiv/math_instruct | |
What is 5e514 (base 15) in base 11?\n | 196599\n | ibivibiv/math_instruct | |
Factor -25*b**3/6 - 49415*b**2/2 - 74110*b/3.\n | -5*b*(b + 1)*(5*b + 29644)/6\n | ibivibiv/math_instruct | |
Suppose -63*i + 114010 + 141833 = 0. What is the units digit of i?\n | 1\n | ibivibiv/math_instruct | |
Simplify sqrt(44)/sqrt(4) + -5 - (sqrt(55)/sqrt(5) + 3).\n | -8\n | ibivibiv/math_instruct | |
What is 2/(-12) + (-14)/12*-1?\n | 1\n | ibivibiv/math_instruct | |
Simplify (s*s/(s**(2/11)/s)*s**(3/7)*s**(-6)/s**(3/7))**(-25) assuming s is positive.\n | s**(875/11)\n | ibivibiv/math_instruct | |
48 times 224\n | 10752\n | ibivibiv/math_instruct | |
Calculate the remainder when 6707 is divided by 452.\n | 379\n | ibivibiv/math_instruct | |
Suppose -r = 5*x - 15 + 5, -20 = -2*r - 4*x. Find the first derivative of -6*c**2 + r*c - 9*c - 57 - 3 wrt c.\n | -12*c + 1\n | ibivibiv/math_instruct | |
Let n be 9*((-310)/(-31))/30. Suppose 0 = -a - 4*x + 17, -3*a + 33 = -2*x + 10. Solve n*y + a*y = -24 for y.\n | -2\n | ibivibiv/math_instruct | |
Is 139024925 a multiple of 775?\n | True\n | ibivibiv/math_instruct | |
Let t(i) = 1147*i + 3434. Give t(-3).\n | -7\n | ibivibiv/math_instruct | |
Convert 408616.74 minutes to weeks.\n | 40.537375\n | ibivibiv/math_instruct | |
b"What is the rth term of -252, -256, -262, -270, -280?\n" | -r**2 - r - 250\n | ibivibiv/math_instruct | |
Let b(m) = 4*m**2 + 23*m + 15. Let f be b(-5). Which is greater: 1/4423 or f?\n | 1/4423\n | ibivibiv/math_instruct | |
What is 21/5 of a centimeter in millimeters?\n | 42\n | ibivibiv/math_instruct | |
What are the prime factors of 4051907?\n | 37, 41, 2671\n | ibivibiv/math_instruct | |
What are the prime factors of 5854320?\n | 2, 3, 5, 47, 173\n | ibivibiv/math_instruct | |
Simplify (((l/(l/(((l*l*(l*l*l*l/l**(-4/7)*l)/l)/l)/l*l)))/l)/l**(-1))**(15/4) assuming l is positive.\n | l**(585/28)\n | ibivibiv/math_instruct | |
Two letters picked without replacement from mqsscpn. Give prob of sequence qs.\n | 1/21\n | ibivibiv/math_instruct | |
Put -5, 53, 18, 5, 16 in ascending order.\n | -5, 5, 16, 18, 53\n | ibivibiv/math_instruct | |
Let t = 25 - 11. Suppose u - 2*i = -u + 36, 3*i = -u + t. Suppose 3*q - j = 343, 3*q + j = 5*q - 227. What is the remainder when q is divided by u?\n | 14\n | ibivibiv/math_instruct | |
What is the common denominator of 155/198 and 55/1908?\n | 20988\n | ibivibiv/math_instruct | |
Convert 159b31c (base 13) to base 2.\n | 11010100100011100011110\n | ibivibiv/math_instruct | |
Let p = -0.31 + 0.22. What is p rounded to one dp?\n | -0.1\n | ibivibiv/math_instruct | |
Which is smaller: 0 or -2/331633931?\n | -2/331633931\n | ibivibiv/math_instruct | |
Let q(n) be the second derivative of 0*n**2 + 0*n**3 - 1/66*n**4 + 6*n - 1/110*n**5 + 1/231*n**7 - 5 + 1/165*n**6. Factor q(x).\n | 2*x**2*(x - 1)*(x + 1)**2/11\n | ibivibiv/math_instruct | |
List the prime factors of (-55)/66 + (-605)/(-6).\n | 2, 5\n | ibivibiv/math_instruct | |
Suppose 8*y - 2576 = -0*y. What is the tens digit of y?\n | 2\n | ibivibiv/math_instruct | |
Put 37, -2, -3 in descending order.\n | 37, -2, -3\n | ibivibiv/math_instruct | |
Suppose 5*w - w = 2*h - 14800004, 3700006 = -w + 3*h. What is w rounded to the nearest one million?\n | -4000000\n | ibivibiv/math_instruct | |
What is the hundreds digit of 5364185?\n | 1\n | ibivibiv/math_instruct | |
Let v be 105/(-14)*(-4)/1. Let x be v/9*24/10. Suppose x = 3*d - 2*d. Does 8 divide d?\n | True\n | ibivibiv/math_instruct | |
What is the tens digit of 485173854?\n | 5\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 108 and 768072.\n | 6912648\n | ibivibiv/math_instruct | |
Let v = -7907 - -58266. Is v composite?\n | False\n | ibivibiv/math_instruct | |
Let a be (3 + -3)/1 + -2. Let o(m) = -9*m - 3. Let y be o(a). Find the second derivative of -4*c**3 - 3*c + 15*c**2 - y*c**2 + 5*c wrt c.\n | -24*c\n | ibivibiv/math_instruct | |
-5399 divided by 262\n | -5399/262\n | ibivibiv/math_instruct | |
434458631185 + 0.1\n | 434458631185.1\n | ibivibiv/math_instruct | |
Put -7, 0, 1, -13 in decreasing order.\n | 1, 0, -7, -13\n | ibivibiv/math_instruct | |
Let n = 53 - 48. Suppose -2*g + 1277 = 3*y + 2*g, -1703 = -4*y - n*g. Is y a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose -3*v - 25 = -4*m - 5, 0 = -5*v - 20. Find the common denominator of 12/7 and (m - 255/66)*2.\n | 77\n | ibivibiv/math_instruct | |
Let n(u) = u**2 - u + 2. Let f be n(0). Suppose 0 = -r - 3*l - f + 12, 16 = -2*r + 3*l. Let w = r + 4. Solve -w*z - 8 = 2 for z.\n | -5\n | ibivibiv/math_instruct | |
What is 28907 to the power of 1/3, to the nearest integer?\n | 31\n | ibivibiv/math_instruct | |
b"What is the fth term of 55, 206, 563, 1228, 2303, 3890?\n" | 17*f**3 + f**2 + 29*f + 8\n | ibivibiv/math_instruct | |
In base 8, what is -4 - 11264?\n | -11270\n | ibivibiv/math_instruct | |
Let r(b) = b**2 + 13*b - 24. Let u be r(-15). Suppose 0 = -u*i - 3 - 3. Suppose -3*w = w + 4. Is w > i?\n | False\n | ibivibiv/math_instruct | |
Convert -1310 (base 7) to base 12.\n | -355\n | ibivibiv/math_instruct | |
Four letters picked without replacement from kkkkrrkkkkrrkk. Give prob of picking 4 r.\n | 1/1001\n | ibivibiv/math_instruct | |
What comes next: -782, 8378, 23644, 45016?\n | 72494\n | ibivibiv/math_instruct | |
What is the millions digit of 672712970?\n | 2\n | ibivibiv/math_instruct | |
What is prob of sequence op when two letters picked without replacement from eupoopur?\n | 1/14\n | ibivibiv/math_instruct | |
Solve -8*r - 12 = -4*n, -5201*n + 2*r + 13 = -5202*n for n.\n | -5\n | ibivibiv/math_instruct | |
Let t(p) be the first derivative of p**3/3 - 2. Let c = 2 - 2. Let k(v) = v**2 + c*v + 0*v. Calculate k(t(f)).\n | f**4\n | ibivibiv/math_instruct | |
Express 14*m**2 + 19 + 8*m**2 - 17 as h*m + w*m**2 + y and give y.\n | 2\n | ibivibiv/math_instruct | |
Let y(a) be the first derivative of 2*a**3/15 + 277*a**2/5 + 182. Factor y(b).\n | 2*b*(b + 277)/5\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(72.75 * 22.386) / 58.595 | 27.7939 | ibivibiv/math_instruct | |
Simplify (2 + sqrt(38)/sqrt(2) + 1)**2.\n | 6*sqrt(19) + 28\n | ibivibiv/math_instruct | |
Simplify ((n*n**(-2/67)*n**2/n)/(n*n/(n/n**6))**(-19/6))**(-7) assuming n is positive.\n | n**(-67921/402)\n | ibivibiv/math_instruct | |
Sort -3, 5, 0, 25, -6322.\n | -6322, -3, 0, 5, 25\n | ibivibiv/math_instruct | |
What is the closest to 4.91 in 2/5, 6, 2, -159, 3?\n | 6\n | ibivibiv/math_instruct | |
Suppose 2*x**5/13 - 1110*x**4/13 + 156490*x**3/13 + 6537150*x**2/13 - 1746739620*x/13 - 28905519168/13 = 0. What is x?\n | -86, -16, 219\n | ibivibiv/math_instruct | |
Let m = -2620 - -2609. What is the nearest to -1 in m, 5, 2, 0?\n | 0\n | ibivibiv/math_instruct | |
Express (-186*o - 80*o - 381*o + 31*o)*((5*o - 2*o - o)*(7*o - 3*o - 2*o) - 6*o**2 + 3*o**2 + o**2) in the form c*o**2 + b + z*o + n*o**3 and give c.\n | 0\n | ibivibiv/math_instruct | |
Let i(u) = 467*u - 45757. What is i(98)?\n | 9\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 20 (b) -7/5 (c) 0 (d) -0.07\n | a\n | ibivibiv/math_instruct | |
What is the second derivative of 5254*y**4 + y - 5565 wrt y?\n | 63048*y**2\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 154600 and 96625.\n | 773000\n | ibivibiv/math_instruct | |
Convert 0.8139575l to millilitres.\n | 813.9575\n | ibivibiv/math_instruct | |
Is 89 a factor of 4640?\n | False\n | ibivibiv/math_instruct | |
Is 4/7 greater than or equal to 8787?\n | False\n | ibivibiv/math_instruct | |
Let u = 5 + -21/4. Let f = 4.99 - 4. Let j = -0.01 - f. What is the nearest to j in -0.2, u, 3?\n | u\n | ibivibiv/math_instruct | |
What is 15/4 of a meter in millimeters?\n | 3750\n | ibivibiv/math_instruct | |
Solve -6*d + 22*d = -96 for d.\n | -6\n | ibivibiv/math_instruct | |
Let g = 0.8938 + 1.1062. Let n = -0.04 + -0.16. Sort g, 1/4, n, -9/4.\n | -9/4, n, 1/4, g\n | ibivibiv/math_instruct | |
Factor 2*h**2/9 - 262*h/9 - 268/3.\n | 2*(h - 134)*(h + 3)/9\n | ibivibiv/math_instruct | |
Is 19 a factor of 266?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 t, 1 p, and 1 e when three letters picked without replacement from tppdtppeppppp.\n | 9/143\n | ibivibiv/math_instruct | |
What are the prime factors of 2164229?\n | 2164229\n | ibivibiv/math_instruct | |
Work out 55406889 * 1.7.\n | 94191711.3\n | ibivibiv/math_instruct | |
Simplify w**(-2/7)*w**3*w**(-1)/(w**3/w) assuming w is positive.\n | w**(-2/7)\n | ibivibiv/math_instruct | |
Sort 2285/3, 5, -5.\n | -5, 5, 2285/3\n | ibivibiv/math_instruct | |
Let h(a) = -a**3 + 10*a**2 + 615*a + 116. Determine h(30).\n | 566\n | ibivibiv/math_instruct | |
Suppose 4*s = -3*h - 18 + 80, 76 = 4*s - 4*h. Let f(p) = -s + 14 + p - 4*p. Determine f(-4).\n | 9\n | ibivibiv/math_instruct | |
Let y be 30/3 + (-3 - -1). Suppose -l = 3*j - 8, -j - 16 = -5*l + y. Solve j = 4*k - 11 for k.\n | 3\n | ibivibiv/math_instruct | |
In base 14, what is -b + 29?\n | 1c\n | ibivibiv/math_instruct | |
What is the second smallest value in -2/15, -0.3, -2, 1?\n | -0.3\n | ibivibiv/math_instruct | |
Let a be (-18*6)/(-2) - 4. Suppose a - 7 = w. Is 9 a factor of w?\n | False\n | ibivibiv/math_instruct | |
Which is smaller: -2 or -29?\n | -29\n | ibivibiv/math_instruct | |
Let h = 21 - -9. Suppose -4*l = 38 + h. Let k = 28 + l. Is k prime?\n | True\n | ibivibiv/math_instruct |
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