instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate -99815663541.35 + 0.11.\n | -99815663541.24\n | ibivibiv/math_instruct | |
Solve c - 3*j = -2595 + 2588, -3*j = 3*c + 9 for c.\n | -4\n | ibivibiv/math_instruct | |
Put 0, 1, 11534/19 in increasing order.\n | 0, 1, 11534/19\n | ibivibiv/math_instruct | |
Expand (2*s - 3*s + 3*s)*(0*s + 0*s - 2*s - 3*s**4) + 3*s**5 + 5*s**5 - 4*s**5 + s**5 - 3*s**5 + s**5 + (-3*s**2 + 4*s**2 - 3*s**2)*(-2*s - s**3 + 2*s).\n | -s**5 - 4*s**2\n | ibivibiv/math_instruct | |
How many litres are there in 567554.1ml?\n | 567.5541\n | ibivibiv/math_instruct | |
Which is smaller: -1 or 1/830183?\n | -1\n | ibivibiv/math_instruct | |
What is the smallest value in 191, 0.3, -1/11, 2?\n | -1/11\n | ibivibiv/math_instruct | |
Expand (-10*p**3 + 265 - 265)*(3*p - 1 - 2*p - 1).\n | -10*p**4 + 20*p**3\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 7831334?\n | 3\n | ibivibiv/math_instruct | |
Suppose 0 = 44*u - 47*u + 3*l + 5613, 5*u + 2*l - 9327 = 0. What is the tens digit of u?\n | 6\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 17437 and 1722973.\n | 329\n | ibivibiv/math_instruct | |
What is 3021 (base 5) in base 14?\n | 1d8\n | ibivibiv/math_instruct | |
Is -8/4055 at least 0?\n | False\n | ibivibiv/math_instruct | |
What is next in -299, -1126, -2499, -4418, -6883, -9894?\n | -13451\n | ibivibiv/math_instruct | |
What is the next term in -733, -1029, -1237, -1303, -1173, -793, -109?\n | 933\n | ibivibiv/math_instruct | |
What is the square root of 294302 to the nearest integer?\n | 542\n | ibivibiv/math_instruct | |
Let h be (0 - -4) + 6 + -20. What are the prime factors of (-7506)/h - (-39)/(-65)?\n | 2, 3, 5\n | ibivibiv/math_instruct | |
Suppose 659*b + 1040 = 672*b. Let z = 89 - b. Solve -z = 2*t + 3*x, t + 6 = 2*x + 19 for t.\n | 3\n | ibivibiv/math_instruct | |
Does 69 divide 188?\n | False\n | ibivibiv/math_instruct | |
Solve -11 = 2*n + x, 454*n - 2*x - 7 = 482*n + 15 for n.\n | 0\n | ibivibiv/math_instruct | |
Factor 11*y**4 + 35*y**3 + 12*y + 47*y**2 + 1273 - 1277 + 7*y**3.\n | (y + 1)**2*(y + 2)*(11*y - 2)\n | ibivibiv/math_instruct | |
Suppose -2*b = 2*d - 7*d - 29, -2*d + 3*b = 16. Let c = 36 + -32. Is (c/d)/((-14)/4795) composite?\n | True\n | ibivibiv/math_instruct | |
Divide -15939 by -207.\n | 77\n | ibivibiv/math_instruct | |
Suppose -z + 4*f + 2 = -5, -z + 3 = -2*f. Let v be z/(-3)*-1 - (-32)/6. Find the third derivative of 2*i**4 + 2*i**4 + 3*i**4 + 4*i**2 + v*i**2 wrt i.\n | 168*i\n | ibivibiv/math_instruct | |
(-72)/(-270)*((-1)/(-5))/((-26)/195)\n | -2/5\n | ibivibiv/math_instruct | |
Let g(r) = -4*r**2. Let l(j) = -4*j**2 + 5. Let b(f) = -2*f**2 + 2. Let h be (1 + 0)/((-2)/10). Let t(d) = h*b(d) + 2*l(d). What is g(t(z))?\n | -16*z**4\n | ibivibiv/math_instruct | |
What is the third biggest value in 8682, -71, 0.6?\n | -71\n | ibivibiv/math_instruct | |
What is the closest to -1/2 in 5, 2, -3/4, 3?\n | -3/4\n | ibivibiv/math_instruct | |
Let b(r) be the third derivative of 0*r**6 + r**2 + 0*r**5 + 0*r + 0 + 1/2*r**3 + 1/105*r**7 + 0*r**4. Find the first derivative of b(a) wrt a.\n | 8*a**3\n | ibivibiv/math_instruct | |
Work out 0.2 - 17857079.\n | -17857078.8\n | ibivibiv/math_instruct | |
What is the value of (6/27)/(38/6384*-14)?\n | -8/3\n | ibivibiv/math_instruct | |
What is 1960 to the power of 1/3, to the nearest integer?\n | 13\n | ibivibiv/math_instruct | |
What is 1/4 of a kilometer in centimeters?\n | 25000\n | ibivibiv/math_instruct | |
Let g(u) = -u**2 - 10*u + 27. Let o be g(-12). Suppose -o*p + 2*b = -7, 2*p + 7 = -4*b + 1. Suppose 10 = -2*i - 4*y, -5*y - p = 9. Are i and 1 unequal?\n | True\n | ibivibiv/math_instruct | |
Find the third derivative of 5*h*n*o**6 + 88*h*n*o**2 - 26*h*o**4 - 8*h*o**3 - h*o**2 + 6*n*o**2 - 2*n + 2*o wrt o.\n | 600*h*n*o**3 - 624*h*o - 48*h\n | ibivibiv/math_instruct | |
Put 11, 21, -23 in decreasing order.\n | 21, 11, -23\n | ibivibiv/math_instruct | |
What is the third derivative of 63081*d**5*j*y - 3*d**3*j**3 + d**2*j**3 + d*j**3 + 3*d*j**2*y - 3703*d*j*y + j**3 wrt d?\n | 3784860*d**2*j*y - 18*j**3\n | ibivibiv/math_instruct | |
Suppose 2 = -w + 2*f + 5, -2*f = 0. Let v be (32/12)/4 - 1. Which is smaller: w or v?\n | v\n | ibivibiv/math_instruct | |
Let h = -113 - -123. Suppose -11 - 14 = -5*u. Calculate the highest common divisor of u and h.\n | 5\n | ibivibiv/math_instruct | |
How many nanometers are there in 71325.96m?\n | 71325960000000\n | ibivibiv/math_instruct | |
Let s = -11 - -4. Let j(x) = -3545*x + 1. Let q be j(s). Let v = q - -8184. Round v to the nearest 1000.\n | 33000\n | ibivibiv/math_instruct | |
Convert 3.949574 centuries to millennia.\n | 0.3949574\n | ibivibiv/math_instruct | |
Let k(m) = m**2. Let q(y) be the third derivative of 65*y**4/8 + 129*y**2. Calculate k(q(s)).\n | 38025*s**2\n | ibivibiv/math_instruct | |
Let w = -16 - 1000.6. What is w rounded to the nearest 100?\n | -1000\n | ibivibiv/math_instruct | |
Let c = 37.8 + -42. Let f = c + 0.6. Round f to the nearest integer.\n | -4\n | ibivibiv/math_instruct | |
Rearrange (16*q**3 - 16*q**3 + 23*q**3)*(2 - 2 + q + q) to i*q**2 + y + b*q + n*q**4 + m*q**3 and give n.\n | 46\n | ibivibiv/math_instruct | |
Let b = -2136 - -2138. Let l(c) = 2*c**2 - 2*c - 1. Let j be l(2). Suppose 3*p = -4*m + 1673, j*p = b*p - 3*m + 551. Is p composite?\n | False\n | ibivibiv/math_instruct | |
-3 * 1.62755\n | -4.88265\n | ibivibiv/math_instruct | |
Simplify ((h*h**(-3)*h)/(h*h/h**0))**(10/9)/((h*h/(h**(-2/9)*h))**(-3/2)/((h**(-1)*h)/(h*h*h**(6/11)*h*h))) assuming h is positive.\n | h**(-133/22)\n | ibivibiv/math_instruct | |
What comes next: -161, -323, -485, -647, -809?\n | -971\n | ibivibiv/math_instruct | |
If David finished his homework in 60 minutes, spending 15 minutes on math and 18 minutes on spelling, how many minutes did he spend reading for his daily reading log? | If David spent 15 minutes on math and 18 minutes on spelling, then he spent 15 + 18 = 33 minutes on math and spelling combined.
Since David finished his homework in 60 minutes, and he spent 33 minutes on math and spelling, then he spent 60 - 33 = 27 minutes reading for his daily reading log.
#### 27
The answer is: 27 | ibivibiv/math_instruct | |
What is the eighth root of 907458 to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
Which is greater: 5092.8 or 0.1?\n | 5092.8\n | ibivibiv/math_instruct | |
In base 10, what is 3 - -410734?\n | 410737\n | ibivibiv/math_instruct | |
((-1)/(-2))/(7/(-1540)*410/(-82))\n | 22\n | ibivibiv/math_instruct | |
Let r(l) = l**3 - 27*l**2 - 473*l - 959. What is r(-10)?\n | 71\n | ibivibiv/math_instruct | |
Let k(t) = t**3 + 10*t**2 + 7*t - 11. Let o be k(-9). Suppose -o = c - 3*z, -c + 5*z - 6 = -5*c. List the prime factors of 22 + (-3 - -1) + c.\n | 19\n | ibivibiv/math_instruct | |
Suppose -5*m = -8 - 42. Let d = 6 - 4. Let r = m - d. List the prime factors of r.\n | 2\n | ibivibiv/math_instruct | |
In base 15, what is 6e0d3 - -74?\n | 6e157\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 222 and 814.\n | 74\n | ibivibiv/math_instruct | |
b"What is the xth term of 173614, 347223, 520832, 694441, 868050?\n" | 173609*x + 5\n | ibivibiv/math_instruct | |
Let m = 17804914909504.000023 - 17804906781317. Let t = m + -8128196. Let a = t - -9. Round a to five decimal places.\n | 0.00002\n | ibivibiv/math_instruct | |
Find the third derivative of -234*s**2 + 591*s**3 - 293*s**3 - 298*s**3 + 287*s**5 - 94*s**2 wrt s.\n | 17220*s**2\n | ibivibiv/math_instruct | |
Convert -664543 (base 9) to base 2.\n | -1100000111011011100\n | ibivibiv/math_instruct | |
Let u = 7 + -2. Suppose -3*o = u - 20. Suppose -h = 5*p - 662, 3*h + 192 = o*p - 462. What is the greatest common factor of p and 12?\n | 12\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# If 2, 3 be the roots of 2x3 + mx2 - 13x + n = 0 then the values of m and n are respectively
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1. -5, -30
2. -5, 30
3. ... | The problem at hand involves finding the values of coefficients 'm' and 'n' for a cubic equation when two of its roots are known. Specifically, we have been given that the roots are 2 and 3, and the equation is of the form 2x^3 + mx^2 - 13x + n = 0. To solve this problem, let us recall some fundamental properties of c... | ibivibiv/math_instruct | |
What is the next term in -4883226, -4883223, -4883220?\n | -4883217\n | ibivibiv/math_instruct | |
Let s be ((-1476)/5535)/(14/(-6) + 2). Put s, 8, 14/9 in ascending order.\n | s, 14/9, 8\n | ibivibiv/math_instruct | |
Expand ((-w - 2*w + 4*w)*(0*w**2 - 3*w**2 + 2*w**2) + 2*w**3 - 2 + 2)*(9519*w - 843*w**2 - 9519*w).\n | -843*w**5\n | ibivibiv/math_instruct | |
Is 46235802387 a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose 4*d - 5*b = -0*b + 120, d = b + 30. Calculate the highest common factor of 10 and d.\n | 10\n | ibivibiv/math_instruct | |
What is the common denominator of 121/15054 and -35/226?\n | 1701102\n | ibivibiv/math_instruct | |
Let v(p) = 313*p - 4. Let h be v(-12). Let u = 6930 + h. Round u to the nearest 100.\n | 3200\n | ibivibiv/math_instruct | |
Calculate the remainder when 183821 is divided by 215.\n | 211\n | ibivibiv/math_instruct | |
Suppose 7 = 3*y - b - 2, -4*y - 5*b = 7. Let v(r) be the first derivative of -2*r**2 + 15. Let s be v(1). Sort y, 4, s in ascending order.\n | s, y, 4\n | ibivibiv/math_instruct | |
Expand (x + x + 0*x + (3 - 4 + 0)*(-x + 0*x - x))*(-x + 2*x + 5*x)*(1 + 4 - 3).\n | 48*x**2\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 1155 and 11.\n | 1155\n | ibivibiv/math_instruct | |
Let b be (-29 + 40)/(3/6). Let r(t) = 3*t**2 + 3*t + 5. Let x be r(-5). Let q = b + x. What are the prime factors of q?\n | 3, 29\n | ibivibiv/math_instruct | |
Let x = 6 + -1. Let f(q) = -q + 7. Calculate f(x).\n | 2\n | ibivibiv/math_instruct | |
In base 15, what is -52e + 5?\n | -529\n | ibivibiv/math_instruct | |
Does 27 divide 387153?\n | True\n | ibivibiv/math_instruct | |
Calculate 2*(-1)/6 - ((-348)/18)/(-29).\n | -1\n | ibivibiv/math_instruct | |
What is the difference between -226528 and 1.9?\n | 226529.9\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {h: 3, r: 9}. Give prob of picking 2 h.\n | 1/22\n | ibivibiv/math_instruct | |
Product of 1865.7 and 282.\n | 526127.4\n | ibivibiv/math_instruct | |
How many minutes are there between 10:11 AM and 4:57 PM?\n | 406\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 25506 and 38259?\n | 76518\n | ibivibiv/math_instruct | |
Let g = -11715 + 11724. Solve 5 = g*v - 58 for v.\n | 7\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 s when two letters picked without replacement from lssyllqlsslp.\n | 1/11\n | ibivibiv/math_instruct | |
Suppose 4*d + 7 = -5*s - 7, 5*s - 3*d = -7. Let q be (-9 + 0)*(s - -5). Let z = -3 - q. Does 17 divide z?\n | False\n | ibivibiv/math_instruct | |
Suppose y - 4*d = -d, 5*y - 17 = -2*d. Suppose -3*q = 5*f - 91, -2*q - 3*f = -4*q + 86. What is the derivative of -19*r - q - y*r + 47*r - 7*r wrt r?\n | 18\n | ibivibiv/math_instruct | |
What is 503 minutes after 7:50 PM?\n | 4:13 AM\n | ibivibiv/math_instruct | |
Which is smaller: 0 or 20/71?\n | 0\n | ibivibiv/math_instruct | |
Factor 4*t**3/3 - 1761772*t**2/3 + 193999725632*t/3 - 2133783812864/3.\n | 4*(t - 220216)**2*(t - 11)/3\n | ibivibiv/math_instruct | |
36/(-30)*((-1)/3 + 3/((-243)/(-432)))\n | -6\n | ibivibiv/math_instruct | |
(((-1)/(-4))/(1/4))/((-10)/10)\n | -1\n | ibivibiv/math_instruct | |
Let k = 22 - 76. Let z = k + 88. What is the remainder when 66 is divided by z?\n | 32\n | ibivibiv/math_instruct | |
Let y = 71 + -67. Let r = 4 - y. Solve r = -7*w + 4*w + 12 for w.\n | 4\n | ibivibiv/math_instruct | |
Let u = 4064 - 4040. Calculate the remainder when 5900 is divided by u.\n | 20\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 9 and 5142.\n | 15426\n | ibivibiv/math_instruct |
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