instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 534743 to the power of 1/2, to the nearest integer?\n | 731\n | ibivibiv/math_instruct | |
Factor -x**3/8 - 1285*x**2/8 - 51034*x + 730303/2.\n | -(x - 7)*(x + 646)**2/8\n | ibivibiv/math_instruct | |
Simplify -4*(-4 + 1 + sqrt(152)/sqrt(8))**2.\n | -112 + 24*sqrt(19)\n | ibivibiv/math_instruct | |
Suppose -5*j = 3*b + 1462, -2*b = -j + 254 + 725. Let t = 494 + b. Let n(q) = -2*q + 4. Determine n(t).\n | -6\n | ibivibiv/math_instruct | |
Simplify ((t/t**(-3/5))/t**9)/(t**(-1/3)*t/t**(2/13)) assuming t is positive.\n | t**(-1543/195)\n | ibivibiv/math_instruct | |
Solve 2216*n = 2224*n + 136 for n.\n | -17\n | ibivibiv/math_instruct | |
Let i(m) be the third derivative of -m**4/8 + 12*m**3 + 836*m**2 - 2*m + 1. Calculate i(24).\n | 0\n | ibivibiv/math_instruct | |
Is 11317500 a multiple of 180?\n | True\n | ibivibiv/math_instruct | |
In base 6, what is 503 - -2?\n | 505\n | ibivibiv/math_instruct | |
b"What is the fth term of -53389, -53390, -53391, -53392, -53393?\n" | -f - 53388\n | ibivibiv/math_instruct | |
Does 18 divide 150880914?\n | True\n | ibivibiv/math_instruct | |
In base 6, what is 3312 - 4454?\n | -1142\n | ibivibiv/math_instruct | |
Let g = 943 + -644. Is 21 a factor of g?\n | False\n | ibivibiv/math_instruct | |
What is 613881 to the power of 1/5, to the nearest integer?\n | 14\n | ibivibiv/math_instruct | |
Simplify (-6*(0 + -3 + 2*6*((sqrt(1300) - (2 + sqrt(1300) - sqrt(1300))) + -3)) + 1)**2.\n | -545760*sqrt(13) + 6882841\n | ibivibiv/math_instruct | |
Let r(d) = -d**3 - 7*d**2 - 7*d + 4. Suppose 3*o - 2*x - 46 = -3*x, -o + 20 = -2*x. Suppose 0 = 2*v + 2, 50 - o = -5*h - 4*v. What is r(h)?\n | 10\n | ibivibiv/math_instruct | |
What is the highest common divisor of 1053 and 20856069?\n | 351\n | ibivibiv/math_instruct | |
Suppose 0 = -a + 4*c - 2 + 7, -5*a - 13 = -c. Let f = -4 - -9. Let d = 10 - f. Sort 0, a, d in decreasing order.\n | d, 0, a\n | ibivibiv/math_instruct | |
Find the second derivative of 15429*k**3 + 278587*k.\n | 92574*k\n | ibivibiv/math_instruct | |
Suppose r + 3*b - 11 + 1 = 0, 5*r + 3*b - 98 = 0. Calculate the remainder when r is divided by 12.\n | 10\n | ibivibiv/math_instruct | |
Let i = -1801 - -1801. Let p(q) = q**2 + 5*q - 6. Let r be p(-7). Sort r, i, -5 in descending order.\n | r, i, -5\n | ibivibiv/math_instruct | |
What is the highest common divisor of 8030 and 168432170?\n | 730\n | ibivibiv/math_instruct | |
What is the least common multiple of 28 and 2171?\n | 60788\n | ibivibiv/math_instruct | |
Let z(y) = 2*y**2 - 2*y - 1. Let v(l) = -l**2 + 3*l + 3. Let j be v(4). Let a be z(j). Suppose a*x = -3*p + 84, -p = 4*x - 36 - 73. Is 11 a factor of x?\n | False\n | ibivibiv/math_instruct | |
What is 44/5 of a millennium in centuries?\n | 88\n | ibivibiv/math_instruct | |
Find the common denominator of 19/15829320 and -29/8340.\n | 15829320\n | ibivibiv/math_instruct | |
Suppose 3*j + 63 = 2*p, -4*j - 54 = -j - 5*p. Let n = -38 - j. Let t = 2 - n. What is the units digit of t?\n | 7\n | ibivibiv/math_instruct | |
What is the value of -19 - ((2 - 29) + (-143 - -156))?\n | -5\n | ibivibiv/math_instruct | |
Sort 7, 3, 1, 0, 2, -2 in decreasing order.\n | 7, 3, 2, 1, 0, -2\n | ibivibiv/math_instruct | |
Is ((-3790)/6)/(48/(-144)) a composite number?\n | True\n | ibivibiv/math_instruct | |
b"What is the uth term of 787, 794, 805, 820, 839, 862, 889?\n" | 2*u**2 + u + 784\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 806 and 35402.\n | 62\n | ibivibiv/math_instruct | |
What is 0.4 + 1003165135652?\n | 1003165135652.4\n | ibivibiv/math_instruct | |
Let u = -74 - -188. Let a be ((-41)/(-5))/((-2)/u). Let x = -469 - a. Which is greater: -3 or x?\n | x\n | ibivibiv/math_instruct | |
Collect the terms in 32 + 27 + 442*z**3 - 28*z**2 - 58.\n | 442*z**3 - 28*z**2 + 1\n | ibivibiv/math_instruct | |
What is the common denominator of 83/22 and 73/1128?\n | 12408\n | ibivibiv/math_instruct | |
How many millilitres are there in 923110.8l?\n | 923110800\n | ibivibiv/math_instruct | |
90/(-27)*4*(-2)/(-40)\n | -2/3\n | ibivibiv/math_instruct | |
What is the least common multiple of 3826200 and 2869650?\n | 11478600\n | ibivibiv/math_instruct | |
Let l = -42 - -64. What is the tens digit of l?\n | 2\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 296 and 15947.\n | 37\n | ibivibiv/math_instruct | |
What is next in -156, -519, -1086, -1857, -2832, -4011, -5394?\n | -6981\n | ibivibiv/math_instruct | |
What is the units digit of 495672257?\n | 7\n | ibivibiv/math_instruct | |
Calculate ((-1)/30)/((-57)/(-75411)*-21).\n | 21/10\n | ibivibiv/math_instruct | |
Let i(g) = g**3 - 33*g**2 - 760*g - 433. Calculate i(-15).\n | 167\n | ibivibiv/math_instruct | |
23.072 - -0.05\n | 23.122\n | ibivibiv/math_instruct | |
Simplify (o**(1/6)*((o*o**1)/o)/o)**(-4/31)/((o/o**(-1/4)*o)**(6/13)*o/o**(-3)*o**(-1/11)*o) assuming o is positive.\n | o**(-158765/26598)\n | ibivibiv/math_instruct | |
Let d = 3368517 + -5648517. Round d to the nearest one hundred thousand.\n | -2300000\n | ibivibiv/math_instruct | |
What is (-9 - 1) + 4 - 6 - (-5 + -1)?\n | -6\n | ibivibiv/math_instruct | |
Express 2*p + p**4 + 5*p**2 + 3*p**2 - 2*p**3 - 2*p**4 - p as y*p**2 + i*p**3 + c*p**4 + k*p + v and give y.\n | 8\n | ibivibiv/math_instruct | |
Factor 4*s**3/3 + 124*s**2/3 - 136*s.\n | 4*s*(s - 3)*(s + 34)/3\n | ibivibiv/math_instruct | |
What is the value of (-23)/(-23)*(-1)/2*6?\n | -3\n | ibivibiv/math_instruct | |
Sort -2/19, 0.3, 96, 75, -6/5, 0.\n | -6/5, -2/19, 0, 0.3, 75, 96\n | ibivibiv/math_instruct | |
Express -20*h**2 + 12*h**2 + 0*h - h in the form c + a*h**2 + z*h and give a.\n | -8\n | ibivibiv/math_instruct | |
What is the cube root of 22181 to the nearest integer?\n | 28\n | ibivibiv/math_instruct | |
Simplify (5 + -2*(0 + sqrt(1584))**2)*4*-5.\n | 63260\n | ibivibiv/math_instruct | |
What is the derivative of -145*r*z**2 - r*z + 12596*r + 3*z**2 + 478*z wrt z?\n | -290*r*z - r + 6*z + 478\n | ibivibiv/math_instruct | |
What is a in 5*a**5 - 15*a**4 - 1485*a**3 - 7945*a**2 - 11520*a - 5040 = 0?\n | -12, -4, -1, 21\n | ibivibiv/math_instruct | |
Collect the terms in 6*w**2 - 41*w + 84 + 37*w - 4*w**2 - 84.\n | 2*w**2 - 4*w\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {b: 2, e: 1, w: 1, k: 1}. What is prob of sequence keb?\n | 1/30\n | ibivibiv/math_instruct | |
What is the product of -2219759 and -5?\n | 11098795\n | ibivibiv/math_instruct | |
Simplify 6*(-5 + (((sqrt(275) + -2 - sqrt(275))*2)**2 + (-3 + (0 + sqrt(275) - sqrt(275)))**2)*1)*2.\n | 240\n | ibivibiv/math_instruct | |
b"What is the pth term of -8666, -9604, -10604, -11696, -12910, -14276, -15824?\n" | -5*p**3 - p**2 - 900*p - 7760\n | ibivibiv/math_instruct | |
Suppose -6*n + n = 4*b - 11, 3*n - 5*b = 14. Suppose -4*z = n*f + 32, 2*f - 35 = 3*z + 7*f. Which is greater: 1 or z?\n | 1\n | ibivibiv/math_instruct | |
What is 324 minutes before 12:23 PM?\n | 6:59 AM\n | ibivibiv/math_instruct | |
Simplify ((((c*c**(7/5))**(-23))**(-5/6))**(2/39))**49 assuming c is positive.\n | c**(4508/39)\n | ibivibiv/math_instruct | |
Is 13345555 composite?\n | True\n | ibivibiv/math_instruct | |
Let r = -17.97 - -19. Let c = r - 4.03. Put 2, 0.2, c in descending order.\n | 2, 0.2, c\n | ibivibiv/math_instruct | |
Express 198 - 19*z**2 + 5*z**2 + 5*z**2 + 4*z**2 + 205 as c + r*z**2 + y*z and give c.\n | 403\n | ibivibiv/math_instruct | |
What is 6/5 of a meter in millimeters?\n | 1200\n | ibivibiv/math_instruct | |
Let z be ((-14)/56)/((-3)/(-2) - 2). Let 1/2*x**5 - z - x**3 + x**2 + 1/2*x - 1/2*x**4 = 0. What is x?\n | -1, 1\n | ibivibiv/math_instruct | |
What is the second biggest value in -7, 21, -6/5, 13, 2, 3?\n | 13\n | ibivibiv/math_instruct | |
Simplify (sqrt(242) + 1 + sqrt(242) + -1 + (-1 + sqrt(242))*3)**2.\n | -330*sqrt(2) + 6059\n | ibivibiv/math_instruct | |
What is (960/(-2280))/(45/8550)?\n | -80\n | ibivibiv/math_instruct | |
Let o be (-53)/(-3) + 3/9. What is the second derivative of -2*b + o*b**2 - 3*b**4 - 18*b**2 wrt b?\n | -36*b**2\n | ibivibiv/math_instruct | |
Convert -134434114 (base 5) to base 11.\n | -43a804\n | ibivibiv/math_instruct | |
Let l(g) = g**2 - g + 1. Let r = -19612 + 19611. Let n(h) = 11*h**2 - 2*h + 4. Determine r*n(z) + 4*l(z).\n | -7*z**2 - 2*z\n | ibivibiv/math_instruct | |
Factor -5*w**2 + 31710*w - 31705.\n | -5*(w - 6341)*(w - 1)\n | ibivibiv/math_instruct | |
Let q = 154634 + -154625. Suppose -2*k - k + 141 = 0. Suppose -3 = a - k. Calculate the remainder when a is divided by q.\n | 8\n | ibivibiv/math_instruct | |
Let d(a) = a + 11. Let i be d(-9). What is the remainder when 46 is divided by 8 + i - 2*-1?\n | 10\n | ibivibiv/math_instruct | |
Suppose 0 = 6*b - 11*b. Suppose 0 = 4*u + 3*v - 135, -3*v + b*v + 165 = 5*u. List the prime factors of u.\n | 2, 3, 5\n | ibivibiv/math_instruct | |
Let p = 733 + -732. Which is the closest to -0.4? (a) 3 (b) -4 (c) p (d) 2/5\n | d\n | ibivibiv/math_instruct | |
Is 56 a factor of 240?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 1059203?\n | 67, 15809\n | ibivibiv/math_instruct | |
Let o(h) = h**3 + 6*h**2 + 5*h + 4. Let f = 10 - 15. Let u be o(f). Suppose -5*a - 5*t = -5, -t + u*t = 2*a + 3. Solve a = 2*p - 7*p for p.\n | 0\n | ibivibiv/math_instruct | |
Let n = 42/59 + -8/177. Which is the closest to 1.7? (a) 2 (b) -1/3 (c) 1 (d) n\n | a\n | ibivibiv/math_instruct | |
What comes next: -200, -192, -184, -176?\n | -168\n | ibivibiv/math_instruct | |
Solve 54265*t + 4 = -2*h + 54263*t, -2*h - 25 = 5*t for h.\n | 5\n | ibivibiv/math_instruct | |
Let q = 0.0452 + -0.0252. Let x = 0.69 + -3.59. Let o = -2.7 - x. Which is the third smallest value? (a) -4 (b) o (c) q\n | b\n | ibivibiv/math_instruct | |
Let x(z) be the second derivative of z**3/2 - 3*z**2/2 - 7*z. Let b(w) be the second derivative of -2*w**3/3 + 2*w**2 + 2*w. Give -2*b(y) - 3*x(y).\n | -y + 1\n | ibivibiv/math_instruct | |
Let t = 14.8117 - 14.73889262. Let u = 0.0728 - t. What is u rounded to 7 decimal places?\n | -0.0000074\n | ibivibiv/math_instruct | |
What is the product of -4 and -20819.6?\n | 83278.4\n | ibivibiv/math_instruct | |
Solve -283 - 10 - 625 = 306*i for i.\n | -3\n | ibivibiv/math_instruct | |
Solve -62278 + 69732 + 206928 = -5023*q - 36768 for q.\n | -50\n | ibivibiv/math_instruct | |
Let g = 18 - 20. Sort -2/17, g, 8 in decreasing order.\n | 8, -2/17, g\n | ibivibiv/math_instruct | |
Suppose -4*h + 419283 = -2*f + 90457, f = -h + 82220. List the prime factors of h.\n | 229, 359\n | ibivibiv/math_instruct | |
Divide 227 by -3.\n | -227/3\n | ibivibiv/math_instruct | |
Let 4*c**4/7 - 53772*c**3/7 - 322732*c**2/7 - 591732*c/7 - 322776/7 = 0. What is c?\n | -3, -2, -1, 13449\n | ibivibiv/math_instruct | |
What is -18 + 15 + -6 - (0 + -1)?\n | -8\n | ibivibiv/math_instruct | |
If a car is traveling at 3/4 the speed of a train going 80 miles per hour, how many miles can the car travel in 20 minutes? | If the car is traveling at 3/4 the speed of the train, then the car is traveling at 3/4 * 80 = 60 miles per hour.
In 20 minutes, the car can travel 60 * 20/60 = 20 miles.
Therefore, the car can travel 20 miles in 20 minutes.The answer is: 20 | ibivibiv/math_instruct |
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