instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
Let a be 52/20 + (-3)/5. Suppose 0 = a*x + 3*x - 3*u - 137, -5*u - 51 = -2*x. What is the remainder when x is divided by 4/(-5)*(-25)/2?\n | 8\n | ibivibiv/math_instruct | |
Simplify ((h*h**(2/3))/h**(1/12))**(-2/59)/((h**5*h**(1/6))/((h**(-1/3)*h)/(h**(1/4)*h*h))) assuming h is positive.\n | h**(-4817/708)\n | ibivibiv/math_instruct | |
Let z = 6 + 0. Suppose 0 = -5*g + 4*u + 29, 5 + 19 = 4*g - 4*u. Suppose 7 + 22 = 2*x - g*h, -9 = -x - 3*h. What is the greatest common divisor of z and x?\n | 6\n | ibivibiv/math_instruct | |
What is -88011 divided by 29337?\n | -3\n | ibivibiv/math_instruct | |
Rearrange 2*a**2 - a + 4*a - 4*a - 4*a**2 to x*a + u + i*a**2 and give i.\n | -2\n | ibivibiv/math_instruct | |
Rearrange -4*r**2 - 9*r**4 + 8*r**3 + 2*r**2 - 17 + 2 + 14 to the form f + i*r**2 + o*r + s*r**4 + w*r**3 and give i.\n | -2\n | ibivibiv/math_instruct | |
Which is the fifth biggest value? (a) 2/5 (b) -0.9724 (c) 1 (d) -5 (e) -1\n | d\n | ibivibiv/math_instruct | |
Let y(q) = -69*q**2 - 2*q + 1. Give y(-1).\n | -66\n | ibivibiv/math_instruct | |
Let q = 119 - -56. List the prime factors of q.\n | 5, 7\n | ibivibiv/math_instruct | |
How many minutes are there between 2:23 AM and 6:49 AM?\n | 266\n | ibivibiv/math_instruct | |
Let v be -3*(-4)/12 + 2. What is the closest to 0 in 0.4, 5/4, v?\n | 0.4\n | ibivibiv/math_instruct | |
What is 922560 divided by 9610?\n | 96\n | ibivibiv/math_instruct | |
b"What is the ath term of -45084, -181621, -409182, -727767?\n" | -45512*a**2 - a + 429\n | ibivibiv/math_instruct | |
What is the common denominator of -35/1397388 and 4/21?\n | 9781716\n | ibivibiv/math_instruct | |
Let a = 30975 - 30970. Let z = 7 - 2. Let g(i) = 2*i - 5. Let j be g(z). Solve a*y + 14 = m, -4*m + 10 = m + j*y for m.\n | 4\n | ibivibiv/math_instruct | |
Calculate 1296 divided by 8504.\n | 162/1063\n | ibivibiv/math_instruct | |
What are the prime factors of 21220?\n | 2, 5, 1061\n | ibivibiv/math_instruct | |
Let w(x) = 19*x + 166. Let y(b) = -2*b**2 - 209*b - 2066. Let p be y(-11). What is w(p)?\n | -5\n | ibivibiv/math_instruct | |
b"What is the yth term of -1440, -5719, -12834, -22785?\n" | -1418*y**2 - 25*y + 3\n | ibivibiv/math_instruct | |
Put 5, 13, -1, 1 in decreasing order.\n | 13, 5, 1, -1\n | ibivibiv/math_instruct | |
Let i(a) = 2*a. Let c(y) = y**2 + 5. Let s be c(0). Let v be ((-2)/(-2))/(s/15). Determine i(v).\n | 6\n | ibivibiv/math_instruct | |
Let m(l) = 6*l - 11. Suppose -17 = -6*y + 1. Let n be (-24)/(-9)*(0 - 3). Let s(p) = 2*p - 4. Determine n*s(f) + y*m(f).\n | 2*f - 1\n | ibivibiv/math_instruct | |
Is 2441124 a multiple of 756?\n | True\n | ibivibiv/math_instruct | |
Let z be ((-93)/(-9))/((-2)/(-138)). Suppose -2*l + 801093 = z. Let n = -100190 + l. What is n rounded to the nearest 100000?\n | 300000\n | ibivibiv/math_instruct | |
What is the cube root of 32805 to the nearest integer?\n | 32\n | ibivibiv/math_instruct | |
Let l(y) = -y**3 + 43*y**2 - 12*y - 2. Let c(m) = 45*m**2 - 14*m - 2. Give -6*c(z) + 7*l(z).\n | -7*z**3 + 31*z**2 - 2\n | ibivibiv/math_instruct | |
Suppose 5*m - 9 = u + 11, -3*u - m = 12. Let t(x) = 2*x + 3. Let k(v) = -6*v - 9. Let n(d) = -2*k(d) - 7*t(d). Give n(u).\n | 7\n | ibivibiv/math_instruct | |
Solve -2*y + 5*w + 19 = 14, -2*w = 2*y + 2 for y.\n | 0\n | ibivibiv/math_instruct | |
Suppose 4 = 3*d - 2*y, 24*d + 4*y = 25*d + 12. Solve -g = -d*g + g for g.\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in -1144*t**3 - 633*t**3 + 1936*t**2 - 1936*t**2.\n | -1777*t**3\n | ibivibiv/math_instruct | |
Let v(p) be the first derivative of -p**3 + 3/2*p**2 - p - 1 + 1/4*p**4. Let o be v(2). Solve -j = -0 + o for j.\n | -1\n | ibivibiv/math_instruct | |
What is the next term in -453235, -906471, -1359707, -1812943?\n | -2266179\n | ibivibiv/math_instruct | |
Let j = -0.6 - -0.3. Let o = -0.2 + -0.3. Let d = -10 - -39/4. Which is the third smallest value? (a) j (b) o (c) d\n | c\n | ibivibiv/math_instruct | |
Suppose j = g - 48, 4*g - 190 = -0*g + 2*j. Calculate the remainder when g is divided by 7.\n | 5\n | ibivibiv/math_instruct | |
Suppose 0*z = -f + 2*z + 90, 4*z - 436 = -5*f. Suppose -16 = -5*v + 3*v. What is the greatest common factor of f and v?\n | 8\n | ibivibiv/math_instruct | |
What is 0.0577901 plus 0.05?\n | 0.1077901\n | ibivibiv/math_instruct | |
Let c(n) = n**3 - 3*n**2 + 2*n - 4. Let b be c(3). Let k be 2 - (-30)/(-24) - (-17)/4. Solve 18 = k*o + z, 2*z = -3*o + b*o for o.\n | 4\n | ibivibiv/math_instruct | |
Let q = -997097932 - -996902642.5649. Let z = q + 195504.43510127. Let t = -215 + z. Round t to 7 dps.\n | 0.0000013\n | ibivibiv/math_instruct | |
What is the biggest value in -3/80, -0.3, 1/5?\n | 1/5\n | ibivibiv/math_instruct | |
-2 (base 6) to base 14\n | -2\n | ibivibiv/math_instruct | |
b"What is the pth term of -2, 33, 68, 103?\n" | 35*p - 37\n | ibivibiv/math_instruct | |
Put 54, 5, -2, -135, 3 in decreasing order.\n | 54, 5, 3, -2, -135\n | ibivibiv/math_instruct | |
Let t(q) = -2*q**3 + 7*q**2 + 462*q - 2276. Give t(5).\n | -41\n | ibivibiv/math_instruct | |
Calculate the remainder when 16065501 is divided by 16065500.\n | 1\n | ibivibiv/math_instruct | |
Calculate -432 divided by -16.\n | 27\n | ibivibiv/math_instruct | |
Round -112.4 to the nearest 10.\n | -110\n | ibivibiv/math_instruct | |
In base 3, what is -20 + 111110111000?\n | 111110110210\n | ibivibiv/math_instruct | |
What is -4 + 13 - (26 + -14 - -11)?\n | -14\n | ibivibiv/math_instruct | |
What are the prime factors of 24684/5 + (-17)/(-85)?\n | 4937\n | ibivibiv/math_instruct | |
Let r = 643 - 638. What is the nearest to 0.3 in 12, r, -2/9?\n | -2/9\n | ibivibiv/math_instruct | |
What is the least common multiple of 10 and 1811662?\n | 9058310\n | ibivibiv/math_instruct | |
Let r = 9 + -5. Let a(f) = -f + 0 - r + 5 - f. Let m(k) = -10*k + 6. Calculate -11*a(b) + 2*m(b).\n | 2*b + 1\n | ibivibiv/math_instruct | |
Suppose -t + 4*v = 17, -t - 2*v - 60 = -19. Let o = -30 - t. Solve s = -3*k + 17, 5*k - 14 = o*s + k for s.\n | 2\n | ibivibiv/math_instruct | |
Let r = 1.952 + -1.992. Which is the third smallest value? (a) 4 (b) r (c) -1/195\n | a\n | ibivibiv/math_instruct | |
What is the value of (25 + (-3995)/141)*(3 + (-45)/12)?\n | 5/2\n | ibivibiv/math_instruct | |
Collect the terms in -g**3 - 2*g**3 + 2*g**3 + 0*g**3.\n | -g**3\n | ibivibiv/math_instruct | |
Simplify s**(22/5)/(s*s*s**19)*s**3*s**(-13/2)/s assuming s is positive.\n | s**(-211/10)\n | ibivibiv/math_instruct | |
Let o be (-2)/8*1/(-1). Which is the second smallest value? (a) -5 (b) 1/3 (c) -1 (d) o\n | c\n | ibivibiv/math_instruct | |
Let p(u) = -5 + 6*u - 6*u + 2*u**2 + 6*u - 3*u. Suppose 4*b = 4*z + z + 50, 5*z + 4*b + 10 = 0. Let d be p(z). Calculate the greatest common divisor of d and 7.\n | 7\n | ibivibiv/math_instruct | |
Suppose c - 5 = 0, 0 = 2*b - 4*b - 4*c + 18. Let x be (b + 0)/((-4)/(-4)). Let s = 2 - x. Solve 3*j + s = -3 for j.\n | -2\n | ibivibiv/math_instruct | |
(1 - 3)*23274/96975\n | -12/25\n | ibivibiv/math_instruct | |
Which is the closest to 652? (a) 4 (b) -0.1 (c) -3 (d) 1.209 (e) 4/3\n | a\n | ibivibiv/math_instruct | |
What is the third biggest value in 5, -3734609, -2/3, 3/7, -1/4?\n | -1/4\n | ibivibiv/math_instruct | |
What is the greatest common factor of 23214 and 530?\n | 106\n | ibivibiv/math_instruct | |
What is the ten millions digit of 4085579216?\n | 8\n | ibivibiv/math_instruct | |
-1.1696 times -0.6\n | 0.70176\n | ibivibiv/math_instruct | |
List the prime factors of 57078.\n | 2, 3, 7, 151\n | ibivibiv/math_instruct | |
Are 239 and 240 equal?\n | False\n | ibivibiv/math_instruct | |
What is the nearest to 0 in -2, -28/209, 0.1, -5, 0.05?\n | 0.05\n | ibivibiv/math_instruct | |
What is the product of -0.07 and 287528?\n | -20126.96\n | ibivibiv/math_instruct | |
Suppose -17*t + 13*t = -356. Does 27 divide t?\n | False\n | ibivibiv/math_instruct | |
What is the units digit of 194?\n | 4\n | ibivibiv/math_instruct | |
Suppose -3*z + 17 + 1 = 0. Let v = -122 - -121.7. Which is the biggest value? (a) v (b) z (c) -0.05\n | b\n | ibivibiv/math_instruct | |
Round 58107480 to the nearest 100000.\n | 58100000\n | ibivibiv/math_instruct | |
Is 2200 a multiple of 11?\n | True\n | ibivibiv/math_instruct | |
What is the remainder when 1064 is divided by 44 + -15 + (7 - -17)?\n | 4\n | ibivibiv/math_instruct | |
Let p = -19 + 26. Suppose v = -5*t + 70, -p*v + 5*t + 260 = -2*v. What are the prime factors of v?\n | 5, 11\n | ibivibiv/math_instruct | |
Does 43 divide 184887?\n | False\n | ibivibiv/math_instruct | |
Work out -18 * 555.\n | -9990\n | ibivibiv/math_instruct | |
Collect the terms in -13*f - 15*f - 16*f + 43*f.\n | -f\n | ibivibiv/math_instruct | |
Round -0.000061288 to 6 decimal places.\n | -0.000061\n | ibivibiv/math_instruct | |
What is next in -46, -61, -90, -139, -214, -321, -466?\n | -655\n | ibivibiv/math_instruct | |
Let j be 1/((50/(-15))/(-2)). Let d = 0.466 + -0.466. Which is the nearest to d? (a) 0 (b) j (c) -2\n | a\n | ibivibiv/math_instruct | |
Let r be (-10 - 472/(-32))/(1/(-20)). What is the second biggest value in 2, -1, r?\n | -1\n | ibivibiv/math_instruct | |
(0 + (10 - 3) - (425 + -326)) + 23\n | -69\n | ibivibiv/math_instruct | |
Is 595696997 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let d be ((-4)/(-2))/((-18)/(22 + -13)). Does 5 divide (-3 - d)*(-1592)/(-64)*-4?\n | False\n | ibivibiv/math_instruct | |
Let x be (-2)/(-13) + (-1296)/312. Sort -14, 4, x in increasing order.\n | -14, x, 4\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 81 and 7.\n | 567\n | ibivibiv/math_instruct | |
In base 9, what is 0 - -352086856?\n | 352086856\n | ibivibiv/math_instruct | |
Let v(q) = -q + 4. Let j be v(12). Calculate the common denominator of -101/6 and 9 + j + 27/12*2.\n | 6\n | ibivibiv/math_instruct | |
What is prob of sequence ecc when three letters picked without replacement from {e: 1, c: 11, z: 3}?\n | 11/273\n | ibivibiv/math_instruct | |
If the sky changes color every ten minutes during sunset and a long summer sunset lasts for two hours (which is equal to 120 minutes), how many times did the sky change color during this period? | If the sky changes color every ten minutes, then in a two-hour sunset, there are 120/10 = 12 intervals of ten minutes.
Therefore, the sky changed color 12 times during this period.
#### 12
The answer is: 12 | ibivibiv/math_instruct | |
What is the third biggest value in -0.2, -1037655, 3/4?\n | -1037655\n | ibivibiv/math_instruct | |
What is 493 minutes after 1:18 AM?\n | 9:31 AM\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Math Help - Indefinite integral by compound substitution
1. ## Indefinite integral by compound substitution
Need help!
Integral of (X^5) sqrt (x^3)+1 dx
I hope this isint too hard to read but its only the sqrt of x^3+1
... | Now, let's delve into solving the given problem using the compound substitution method. The integrand is $(x^5)\sqrt{(x^3)+1}$. As suggested, we begin by letting $u=(x^3)+1$. This results in $du=3x^2dx$, allowing us to rewrite our original integral as follows:
$\int(x^5)\sqrt{u}\cdot \frac{1}{3}du=\frac{1}{3}\int x^3... | ibivibiv/math_instruct | |
Is 119634211 a prime number?\n | False\n | ibivibiv/math_instruct | |
8192 divided by 9747\n | 8192/9747\n | ibivibiv/math_instruct | |
What is the second derivative of -2*d**3 + 531*d**2 - 3348*d?\n | -12*d + 1062\n | ibivibiv/math_instruct | |
What is the first derivative of -2*u**3 - 14531*u + 14213 wrt u?\n | -6*u**2 - 14531\n | ibivibiv/math_instruct |
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