instruction_seed
stringlengths
5
2.9k
response_seed
stringlengths
3
9.55k
input
stringclasses
1 value
_source
stringclasses
1 value
List the prime factors of 7562012.\n
2, 883, 2141\n
ibivibiv/math_instruct
Let z(j) = 2*j + 12. Suppose -5*p = -p - 2*x, 4*p + 5*x = 0. Suppose -5*c - t + 24 = p, 5*c - 2*c = 5*t + 20. List the prime factors of z(c).\n
2, 11\n
ibivibiv/math_instruct
Convert 231.364 centuries to years.\n
23136.4\n
ibivibiv/math_instruct
Solve -60*i = 196*i - 6656 for i.\n
26\n
ibivibiv/math_instruct
Express -6*b**2 + 276*b + 11*b**2 - 297*b as d + n*b**2 + y*b and give y.\n
-21\n
ibivibiv/math_instruct
Let h(k) = 10*k**2 - k + 1. Let i be h(1). Suppose 2*s = 98 + i. Is 27 a factor of s?\n
True\n
ibivibiv/math_instruct
Calculate the highest common factor of 1323 and 27.\n
27\n
ibivibiv/math_instruct
Let l(g) = -3*g**2 - 29*g + 266. Let z(o) = -2*o. What is z(l(y))?\n
6*y**2 + 58*y - 532\n
ibivibiv/math_instruct
What is 15 - (10 + 8 + 46) - -12?\n
-37\n
ibivibiv/math_instruct
What is the hundreds digit of 52550607?\n
6\n
ibivibiv/math_instruct
Solve 25 = 2*w - 54*n + 57*n, 3*w + 4*n = 35 for w.\n
5\n
ibivibiv/math_instruct
What is -21.7 minus -8.30911?\n
-13.39089\n
ibivibiv/math_instruct
Calculate prob of picking 1 p, 1 d, and 1 b when three letters picked without replacement from {r: 1, m: 1, b: 1, d: 2, p: 2}.\n
4/35\n
ibivibiv/math_instruct
Calculate 3342 divided by 1114.\n
3\n
ibivibiv/math_instruct
Let m(k) = -2*k**3 - 7*k**2 + k - 6. Let x(b) = b**2 - 19*b - 5. Suppose -u + 4*y = -0*u - 11, -3*y - 13 = -u. Let h be x(u). What is the units digit of m(h)?\n
4\n
ibivibiv/math_instruct
Let g = -3 - -16. Let z(q) = 11*q**3 - q + 2. Let l be z(1). Is l at most g?\n
True\n
ibivibiv/math_instruct
Round 0.104204 to 4 dps.\n
0.1042\n
ibivibiv/math_instruct
Factor -4*p**4 + 28*p**3 - 68*p**2 + 68*p - 24.\n
-4*(p - 3)*(p - 2)*(p - 1)**2\n
ibivibiv/math_instruct
What is the fourth root of 108936 to the nearest integer?\n
18\n
ibivibiv/math_instruct
What is the second derivative of -73664*p**4 - 7*p**3 - 13*p**2 - 7573186*p?\n
-883968*p**2 - 42*p - 26\n
ibivibiv/math_instruct
What is 1744.4214 rounded to the nearest 100?\n
1700\n
ibivibiv/math_instruct
b"What is the lth term of -11530, -23034, -34538, -46042, -57546, -69050?\n"
-11504*l - 26\n
ibivibiv/math_instruct
Mika had 20.0 stickers. She bought 26.0 stickers from a store in the mall and got some stickers for her birthday. Then her sister gave her 6.0 stickers and her mother gave her 58.0 stickers to decorate a greeting card. Mika has 130 stickers. How many stickers did Mika get for her birthday?
To find out how many stickers Mika got for her birthday, we need to add up all the stickers she had and received, and then subtract that total from the final count of stickers she has. Mika started with 20.0 stickers. She bought 26.0 stickers. Her sister gave her 6.0 stickers. Her mother gave her 58.0 stickers. Lets ...
ibivibiv/math_instruct
Which is the nearest to -2/7? (a) 0.01 (b) -3/8 (c) -3\n
b\n
ibivibiv/math_instruct
Calculate (2 - (9 - 4)) + -19 + 17.\n
-5\n
ibivibiv/math_instruct
Solve -260*x - 11*x - 10236 = -2377 for x.\n
-29\n
ibivibiv/math_instruct
What is 2590.5201 months in years?\n
215.876675\n
ibivibiv/math_instruct
Suppose 3*o = -o + 4*j + 56, 5*j + 2 = o. Suppose o*c - 11*c + 114 = 0. Which is bigger: 5 or c?\n
5\n
ibivibiv/math_instruct
Let q = 21 + -22.6. Let p = -0.6 - q. Let j = 7.93 - 8. Which is the closest to j? (a) 4 (b) p (c) -1/2\n
c\n
ibivibiv/math_instruct
Differentiate 160*j**3 + 114 with respect to j.\n
480*j**2\n
ibivibiv/math_instruct
What is the value of (((6/3)/(-1))/(-2))/(-1)?\n
-1\n
ibivibiv/math_instruct
Let v = -2.7 + 1.1. Let c = v - -0.6. Which is smaller: 28 or c?\n
c\n
ibivibiv/math_instruct
Let i(r) = -9*r**2. Let p(y) = -2*y**2 - 2. Let g(j) = -16. Let q(f) = -13. Let u(l) = -5*g(l) + 6*q(l). Let w(s) = p(s) + u(s). What is w(i(t))?\n
-162*t**4\n
ibivibiv/math_instruct
Rearrange 502 + 115842814*m - 115842814*m + 3*m**2 to n + b*m + o*m**2 and give n.\n
502\n
ibivibiv/math_instruct
What is 505 minutes before 10:12 PM?\n
1:47 PM\n
ibivibiv/math_instruct
Find u, given that -2*u**2/3 + 164350*u/3 + 35923348/3 = 0.\n
-218, 82393\n
ibivibiv/math_instruct
b"What is the sth term of 2170, 8856, 20000, 35602, 55662?\n"
2229*s**2 - s - 58\n
ibivibiv/math_instruct
What is the next term in 19969, 39888, 59805, 79720, 99633?\n
119544\n
ibivibiv/math_instruct
Calculate the common denominator of -31/14094463 and -121/10.\n
140944630\n
ibivibiv/math_instruct
What is 4169589 to the power of 1/3, to the nearest integer?\n
161\n
ibivibiv/math_instruct
What is the third smallest value in -33532, -1.1, 0.025?\n
0.025\n
ibivibiv/math_instruct
Two letters picked without replacement from {b: 1, t: 1, k: 1, f: 1, v: 1}. Give prob of sequence kb.\n
1/20\n
ibivibiv/math_instruct
Let l = -4094.27 - -5223.404. Let k = l - 1125.1339936. Let z = k - 4. What is z rounded to six decimal places?\n
0.000006\n
ibivibiv/math_instruct
What is the biggest value in -29, -3.83, -2512?\n
-3.83\n
ibivibiv/math_instruct
What is the third root of 1418 to the nearest integer?\n
11\n
ibivibiv/math_instruct
Is 219 a factor of 596821549?\n
False\n
ibivibiv/math_instruct
Let o = -82113/10 + 8203. Calculate the common denominator of o and 23/11.\n
110\n
ibivibiv/math_instruct
Let l(r) be the third derivative of 1/78*r**4 + 0*r + 10*r**2 + 0 - 1/1365*r**7 - 1/78*r**5 + 0*r**3 + 1/195*r**6. Solve l(i) = 0 for i.\n
0, 1, 2\n
ibivibiv/math_instruct
b"What is the dth term of -8, 2, 12?\n"
10*d - 18\n
ibivibiv/math_instruct
What is the third derivative of -360028196*v**3 + 210271171*v**2 wrt v?\n
-2160169176\n
ibivibiv/math_instruct
7/98*(9 - 13)\n
-2/7\n
ibivibiv/math_instruct
Let o be (-39)/(-18) - ((-18)/12 - -2). Let w = o - 16/15. Let x = 0 + 4. Which is the closest to 1? (a) -5 (b) x (c) w\n
c\n
ibivibiv/math_instruct
Calculate 24761325652 + 4.\n
24761325656\n
ibivibiv/math_instruct
What is the value of 45878/(-81925)*45/6?\n
-21/5\n
ibivibiv/math_instruct
Let x = -9 - 4. Let s = 12 - 23. Which is bigger: s or x?\n
s\n
ibivibiv/math_instruct
Convert -1292a (base 16) to base 3.\n
-10212100120\n
ibivibiv/math_instruct
Calculate the greatest common factor of 32 and 3728.\n
16\n
ibivibiv/math_instruct
Let k(g) be the second derivative of -g**8/420 + g**6/30 - g**5/15 + g**3/2 - 7*g. Let c(t) be the second derivative of k(t). Determine d so that c(d) = 0.\n
-2, 0, 1\n
ibivibiv/math_instruct
Simplify (sqrt(5)*2*4 + -5 + -5 + (sqrt(35) + -1*sqrt(3500))/(-4*2*sqrt(7)))**2.\n
-365*sqrt(5)/2 + 33045/64\n
ibivibiv/math_instruct
What is 7 divided by 9?\n
7/9\n
ibivibiv/math_instruct
What is the least common multiple of 174 and 754?\n
2262\n
ibivibiv/math_instruct
Express -v + 52 - 2*v**2 - 126 + 3*v**3 + 33 as b*v**2 + w + i*v + x*v**3 and give b.\n
-2\n
ibivibiv/math_instruct
Find the common denominator of (-20)/(-6) - 17723888/5352864 and 3/242.\n
33154\n
ibivibiv/math_instruct
Let d(m) = -m**3 - 5*m**2 - 136*m - 537. Determine d(-4).\n
-9\n
ibivibiv/math_instruct
Let m be 90/27 - 2/6. What is the first derivative of -3*g**m + 2 - 50*g**3 + 3 wrt g?\n
-159*g**2\n
ibivibiv/math_instruct
Calculate (33 - 22 - -11) + -26.\n
-4\n
ibivibiv/math_instruct
Let g = -5215/2 - -2600. Which is the biggest value? (a) 6/11 (b) g (c) -1.3\n
a\n
ibivibiv/math_instruct
Calculate the least common multiple of 31983 and 648798.\n
4541586\n
ibivibiv/math_instruct
Let x = 6.2 - 5.7. Which is the third biggest value? (a) 0 (b) 3 (c) 2 (d) x\n
d\n
ibivibiv/math_instruct
Suppose 0 = -h + u + 1781092, 5*h - 8905468 = -7*u + 4*u. Let b = h + 16418907. Round b to the nearest 1000000.\n
18000000\n
ibivibiv/math_instruct
Four letters picked without replacement from ooooooeeeuouoeoeooee. What is prob of picking 1 e and 3 o?\n
77/323\n
ibivibiv/math_instruct
Let f = -35 + 38. Suppose -f*u + 5*u = 196. What is the units digit of u?\n
8\n
ibivibiv/math_instruct
List the prime factors of 186264/(-52)*(-14)/9.\n
2, 7, 199\n
ibivibiv/math_instruct
What is the next term in -112, -679, -2030, -4165, -7084, -10787, -15274?\n
-20545\n
ibivibiv/math_instruct
What is 588 minutes after 12:27 AM?\n
10:15 AM\n
ibivibiv/math_instruct
Let b = -0.06657 + 318.06657. What is the closest to -1/4 in 3, b, -4?\n
3\n
ibivibiv/math_instruct
Is 5782277 a composite number?\n
False\n
ibivibiv/math_instruct
What is -11 + -5 + (21 - 4)?\n
1\n
ibivibiv/math_instruct
Express (54*v**2 + 20*v**2 - 17*v**2)*(-2*v - 11*v + 322*v) in the form i + b*v + h*v**3 + w*v**2 and give h.\n
17613\n
ibivibiv/math_instruct
Simplify (sqrt(220)/(sqrt(20)/sqrt(4)))/(sqrt(4) + (-1*sqrt(64) - sqrt(4)) + sqrt(4)).\n
-sqrt(11)/3\n
ibivibiv/math_instruct
Let j(a) be the second derivative of 7*a**3/3 - 113*a**2 + 74*a + 1. Let w be j(27). Calculate the highest common divisor of 8 and w.\n
8\n
ibivibiv/math_instruct
What is 6/4*1*16/(-30)?\n
-4/5\n
ibivibiv/math_instruct
What is (-8)/14 - (-30)/(-168)?\n
-3/4\n
ibivibiv/math_instruct
What is the highest common divisor of 54 and 74?\n
2\n
ibivibiv/math_instruct
Let y(s) = 2*s**3 + 2 - s**3 + 3*s + 1 - 6*s**2. Let c(t) = t**3 - 11*t**2 + 9*t + 5. Let l be c(10). Let r = 0 - l. Give y(r).\n
-7\n
ibivibiv/math_instruct
Solve -20*h + 104 = 384 for h.\n
-14\n
ibivibiv/math_instruct
Suppose -4*b + 316*p - 321*p = -183686, -b = -4*p - 45932. What is the tens digit of b?\n
2\n
ibivibiv/math_instruct
Solve -3*f**5 - 7290*f**4 - 2429736*f**3 + 129390336*f**2 - 1604067840*f = 0 for f.\n
-2018, -460, 0, 24\n
ibivibiv/math_instruct
Simplify (-5 + 5 + sqrt(11)*1)*-5.\n
-5*sqrt(11)\n
ibivibiv/math_instruct
Round -0.003601745 to four decimal places.\n
-0.0036\n
ibivibiv/math_instruct
What is -3 + -1 - (-24 + -12 + -12 + -5)?\n
49\n
ibivibiv/math_instruct
Find the second derivative of 356*m**2 + 705*m wrt m.\n
712\n
ibivibiv/math_instruct
Suppose -402*i + 92317 = -54413. Solve i = m + 371 for m.\n
-6\n
ibivibiv/math_instruct
Let b = -4859128.0585549 - -5049.0567649. Let n = 4853763 + b. Let h = n + 316. What is h rounded to 4 dps?\n
-0.0018\n
ibivibiv/math_instruct
Solve 3*j = 2*r + 13, 3*r = -4906*j + 4894*j + r + 32 for j.\n
3\n
ibivibiv/math_instruct
Round -106910 to the nearest 10000.\n
-110000\n
ibivibiv/math_instruct
What are the prime factors of 296275?\n
5, 7, 1693\n
ibivibiv/math_instruct
What is 6.477945km in micrometers?\n
6477945000\n
ibivibiv/math_instruct
Let v = 23 + -12. Suppose -4*i + 3 - v = 0. Which is the nearest to i? (a) 3 (b) 4 (c) -2/13\n
c\n
ibivibiv/math_instruct
What is the result of the following expression? -76.706 + (92.914 / -85.506)
-77.7926
ibivibiv/math_instruct