instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -l + 10*l - 1530 = 0. Let q = 270 - l. List the prime factors of q.\n | 2, 5\n | ibivibiv/math_instruct | |
Suppose 4*t + 4 = 16. Let q(c) = -c**3 + 4*c**2 - c + 4. Let g be q(4). Let y(k) = 2*k - 1 + 2*k - 2*k**2 + g*k**2. Determine y(t).\n | -7\n | ibivibiv/math_instruct | |
Let m(x) = -9*x**2 - 6*x - 13. Let s(v) = 20*v**2 + 12*v + 27. Let k(w) = 13*m(w) + 6*s(w). Let c(t) = -t - 2 + 3 - 2. Determine 6*c(y) - k(y).\n | -3*y**2 + 1\n | ibivibiv/math_instruct | |
How many tonnes are there in 0.6069127 micrograms?\n | 0.0000000000006069127\n | ibivibiv/math_instruct | |
What is 0.61971 plus 0.5?\n | 1.11971\n | ibivibiv/math_instruct | |
Is 1678787 prime?\n | False\n | ibivibiv/math_instruct | |
Suppose x + 74 = 2*u, -3*u = 4*x - 23 - 66. Suppose -75153 = -6*s - u*s. What is the thousands digit of s?\n | 1\n | ibivibiv/math_instruct | |
Expand 1 - 1 - g - g + 0*g + 0*g + (2*g - 2 + 2)*(-1 + 1 - 3) + 5*g - g - 3*g.\n | -7*g\n | ibivibiv/math_instruct | |
Collect the terms in 44 - 469*c**3 + 475*c**3 - 44.\n | 6*c**3\n | ibivibiv/math_instruct | |
Is 19102847 <= 19102847?\n | True\n | ibivibiv/math_instruct | |
Let v(m) = m**3 + 2*m - 2. Let l(o) = -4*o + o + 4*o + 11. Let q be l(-8). Let i(s) = -q - 3*s**3 - 2*s**3 + 5*s - 2*s + 6*s**3. Calculate 2*i(y) - 3*v(y).\n | -y**3\n | ibivibiv/math_instruct | |
Express (2 - 5*l**4 - 7*l**4 + 9*l**4)*(-2 + 1 - 2 + (1 + 2 - 1)*(2 + 2 - 3)) in the form z*l + w*l**3 + n*l**4 + d*l**2 + s and give s.\n | -2\n | ibivibiv/math_instruct | |
27 (base 9) to base 3\n | 221\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {i: 2, f: 1, h: 1, m: 2, q: 1, r: 1}. What is prob of sequence hi?\n | 1/28\n | ibivibiv/math_instruct | |
Let f = 2479 + -2459. Let x(k) = k**3 - 20*k**2 - 16. Give x(f).\n | -16\n | ibivibiv/math_instruct | |
What is prob of picking 1 k and 1 u when two letters picked without replacement from {l: 2, z: 4, k: 3, d: 3, u: 6}?\n | 2/17\n | ibivibiv/math_instruct | |
Let m be 8/160*5*(-1 + 1). Solve -t = 4*p + 19, m = -5*p + 5*t - 3 - 2 for p.\n | -4\n | ibivibiv/math_instruct | |
Let b(g) = -5*g**2 - 55*g + 1411. Determine b(-23).\n | 31\n | ibivibiv/math_instruct | |
Let h be (-2)/3 - (-121)/33. Solve u - 8 + h = 0 for u.\n | 5\n | ibivibiv/math_instruct | |
Let c(g) = -g**3 + 9*g**2 + 90*g - 765. Give c(10).\n | 35\n | ibivibiv/math_instruct | |
Calculate the common denominator of -53/4 and 12/145.\n | 580\n | ibivibiv/math_instruct | |
Suppose w = 2*n + 30, 0 = -3*w + 2*w - 4*n + 24. Let r = w - 11. List the prime factors of r.\n | 17\n | ibivibiv/math_instruct | |
Suppose 309*g - 310*g - j = -8, 3*g - 3*j + 12 = 0. Is g > 132/193?\n | True\n | ibivibiv/math_instruct | |
Let q(w) = -w**3 - 5*w**2 + 5*w + 2. Let y be q(-6). Let b = -5 + y. Factor 3*x**4 + 6*x**3 - 2*x + b - 6*x**4 - 4*x.\n | -3*(x - 1)**3*(x + 1)\n | ibivibiv/math_instruct | |
List the prime factors of 7137.\n | 3, 13, 61\n | ibivibiv/math_instruct | |
Let w(m) = 73*m + 413. Let d be w(12). Let q = -6364/5 + d. Factor 12/5 - 21*l - 243/5*l**3 - q*l**4 + 297/5*l**2.\n | -3*(l + 4)*(3*l - 1)**3/5\n | ibivibiv/math_instruct | |
Let v = 5/49 + 475/147. Which is greater: v or 4?\n | 4\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -2/5 (b) -0.3 (c) 0 (d) -4/3 (e) -3\n | e\n | ibivibiv/math_instruct | |
Simplify (-2*sqrt(65)*-5 + sqrt(65) - sqrt(65))/(1*sqrt(500) - sqrt(5)).\n | 10*sqrt(13)/9\n | ibivibiv/math_instruct | |
Let g(b) = -b**2 + 17*b + 172. What is g(-8)?\n | -28\n | ibivibiv/math_instruct | |
How many minutes are there between 1:15 PM and 1:51 PM?\n | 36\n | ibivibiv/math_instruct | |
Let c be (-499)/2 + (-2)/4. Let v = -14 - c. Let o = 342 - v. Is o composite?\n | True\n | ibivibiv/math_instruct | |
What is the next term in 1213, 5227, 11929, 21313, 33373, 48103, 65497?\n | 85549\n | ibivibiv/math_instruct | |
What is the fifth root of 556491944 to the nearest integer?\n | 56\n | ibivibiv/math_instruct | |
Let h be (24/20)/(1/25 - 0). Let g(w) = -h*w + 13*w + 11*w + 5*w. Let i(r) = -2*r**2. Give g(i(z)).\n | 2*z**2\n | ibivibiv/math_instruct | |
Suppose 4*w - 2*o = -12, 12 = -1074*o + 1076*o. Let t(b) be the first derivative of -1/3*b**3 + 0*b - 14 + w*b**2. Let s(l) = -52*l**2. Give s(t(k)).\n | -52*k**4\n | ibivibiv/math_instruct | |
Let g(u) = -47777*u**2 + 52*u + 38154. Let b(n) = 7963*n**2 - 8*n - 6359. Let l(y) = -13*b(y) - 2*g(y). Differentiate l(v) wrt v.\n | -15930*v\n | ibivibiv/math_instruct | |
What is the nearest to -6 in 3/5, 0.1, 2?\n | 0.1\n | ibivibiv/math_instruct | |
What is the ninth root of 884589509 to the nearest integer?\n | 10\n | ibivibiv/math_instruct | |
List the prime factors of 609191.\n | 11, 55381\n | ibivibiv/math_instruct | |
Evaluate (-52)/((6/(-39))/(614/7982)).\n | 26\n | ibivibiv/math_instruct | |
Let k = 8618 + -7067. Is k a multiple of 33?\n | True\n | ibivibiv/math_instruct | |
Suppose -9*z + 5040 = -6*z. Suppose z = 26*j - 31*j. Let o = -2358/7 - j. Which is the nearest to -1? (a) -2/7 (b) 3 (c) o\n | c\n | ibivibiv/math_instruct | |
Let y = 2194/7 + -314. Let s = 1/14 + y. What is the nearest to 1 in s, -1/3, -3/2?\n | -1/3\n | ibivibiv/math_instruct | |
Let x = 38 + 10. What is the units digit of x?\n | 8\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 194748 and 2.\n | 194748\n | ibivibiv/math_instruct | |
Let a = 0 + 2. Let d = 628 - 623. Sort a, -1, d in decreasing order.\n | d, a, -1\n | ibivibiv/math_instruct | |
Let r = 0.03 - 1.43. Let z = r + 1.6. What is the nearest to -1 in 2/3, z, -1/10?\n | -1/10\n | ibivibiv/math_instruct | |
What is the highest common divisor of 250338 and 396?\n | 66\n | ibivibiv/math_instruct | |
Does 58 divide 21809?\n | False\n | ibivibiv/math_instruct | |
Suppose 29 = 14*a + 15. Is -284 at least as big as a?\n | False\n | ibivibiv/math_instruct | |
What is the closest to -1497 in 5, 0.3, 250, -24?\n | -24\n | ibivibiv/math_instruct | |
Expand (-2321 - 2254 - 2510)*(4*s**2 - 6*s**2 + s**2).\n | 7085*s**2\n | ibivibiv/math_instruct | |
Expand (-41*x**3 + 10*x**4 + 41*x**3)*(2 - 2 + 4*x) - x**5 + 2*x**5 - 4*x**5 + (6*x - x - 3*x)*(5 - 5 + x**4).\n | 39*x**5\n | ibivibiv/math_instruct | |
Let s = -64 - -63.97. Which is the nearest to -1? (a) s (b) 2/11 (c) 1\n | a\n | ibivibiv/math_instruct | |
Let p(h) be the first derivative of -239*h**6/2 - h**3 + 11585*h**2/2 - 5909. Find the second derivative of p(q) wrt q.\n | -14340*q**3 - 6\n | ibivibiv/math_instruct | |
What comes next: 540319, 540331, 540343, 540355, 540367?\n | 540379\n | ibivibiv/math_instruct | |
Suppose 0 = -4*w - 7*z + 4*z - 8, 4*w = 5*z - 40. Let p(u) = 8*u**2 - 3*u - 4. Let k(i) = -7*i**2 + 2*i + 3. Determine w*p(y) - 6*k(y).\n | 2*y**2 + 3*y + 2\n | ibivibiv/math_instruct | |
Suppose -6*n = -n - 5*a - 35, -3*n + 1 = a. Let h be ((3 + -2)*0)/2. Solve -k - n = -h*k for k.\n | -2\n | ibivibiv/math_instruct | |
Let m = -350 - -360. Solve 0 = -7*g + 4 + m for g.\n | 2\n | ibivibiv/math_instruct | |
Suppose 0 = 3*h + 4*a - 5, 3*h + 6*a = -94 + 109. What is the nearest to -99 in h, -1, -0.5?\n | h\n | ibivibiv/math_instruct | |
Is 1222666681 composite?\n | False\n | ibivibiv/math_instruct | |
Let l = 1 - -1. Let y(s) = -1 - 3*s**3 + 0 - 2*s + 2*s**l - 3*s**2. Let o(i) = -i**2 - 9*i + 9. Let f be o(-10). Give y(f).\n | 3\n | ibivibiv/math_instruct | |
Calculate 324 divided by 27.\n | 12\n | ibivibiv/math_instruct | |
Is 1025006323 a composite number?\n | True\n | ibivibiv/math_instruct | |
Calculate (2 + 0 + 0 - -4) + 8 + -3.\n | 11\n | ibivibiv/math_instruct | |
Is 146 a factor of 1067491?\n | False\n | ibivibiv/math_instruct | |
Evaluate 140/252*12/20.\n | 1/3\n | ibivibiv/math_instruct | |
Let p(k) = -k**3 - 18*k**2 + 17*k - 20. What is the units digit of p(-19)?\n | 8\n | ibivibiv/math_instruct | |
Expand r**4 + r**4 - 5*r**4 + (16 - 6*r - 16)*(2 + r**3 - 2).\n | -9*r**4\n | ibivibiv/math_instruct | |
How many minutes are there between 3:16 AM and 3:54 AM?\n | 38\n | ibivibiv/math_instruct | |
Let q(t) = 15*t**2 - 1. Let n be q(1). Let x be ((-4)/(2/(-2)))/(-1). Let z = x + n. What are the prime factors of z?\n | 2, 5\n | ibivibiv/math_instruct | |
Suppose -5*n**2 + 6334030*n - 2005996802045 = 0. Calculate n.\n | 633403\n | ibivibiv/math_instruct | |
Let o = -168 - -558. Suppose -3*h + 3*n + 297 = 0, -o = -4*h + 3*n - n. What are the prime factors of h?\n | 2, 3\n | ibivibiv/math_instruct | |
Expand (5 + 3 - 5 + (4 - 1 - 2)*(2 + 4 - 5) - 1 - 4 + 3)*(4*b**2 + 12*b - 12*b).\n | 8*b**2\n | ibivibiv/math_instruct | |
b"What is the sth term of -131138, -270767, -410406, -550061, -689738, -829443, -969182, -1108961?\n" | -s**3 + s**2 - 139625*s + 8487\n | ibivibiv/math_instruct | |
What is the hundreds digit of 33036?\n | 0\n | ibivibiv/math_instruct | |
Let b = 1196/7 - 19115/112. What is the nearest to -2 in 0, -3/7, b?\n | -3/7\n | ibivibiv/math_instruct | |
What is the value of 1 - ((1 - 5) + 5)?\n | 0\n | ibivibiv/math_instruct | |
Evaluate (-18)/15*(-200)/(-42) - -6.\n | 2/7\n | ibivibiv/math_instruct | |
Sort -6, -2, 1/5, 19/18, -3.694 in increasing order.\n | -6, -3.694, -2, 1/5, 19/18\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 584 and 28.\n | 4088\n | ibivibiv/math_instruct | |
What is the second derivative of d**2*r**2*v - d**2*r - 71*d**2*v + 4*d**2 + 188*d*r**2*v + 15*d*v - 2*r**2 wrt d?\n | 2*r**2*v - 2*r - 142*v + 8\n | ibivibiv/math_instruct | |
Collect the terms in 6*w - w - 5*w - 278*w**3 + 151*w**3 + 4.\n | -127*w**3 + 4\n | ibivibiv/math_instruct | |
What are the prime factors of 3780795496?\n | 2, 229, 1307, 1579\n | ibivibiv/math_instruct | |
What comes next: 42, 89, 152, 237, 350, 497, 684, 917?\n | 1202\n | ibivibiv/math_instruct | |
What is the third biggest value in -0.5, -1, -4/9, 0.029, -5, -3, 0.1?\n | -4/9\n | ibivibiv/math_instruct | |
Two letters picked without replacement from eywobyeweeeeojewo. What is prob of picking 2 e?\n | 21/136\n | ibivibiv/math_instruct | |
b"What is the wth term of -6622, -6606, -6564, -6484, -6354, -6162?\n" | 2*w**3 + w**2 - w - 6624\n | ibivibiv/math_instruct | |
Rearrange 39*q**3 + 1 + 0 - 41*q**3 + q**2 to w + j*q**3 + x*q + b*q**2 and give b.\n | 1\n | ibivibiv/math_instruct | |
Suppose 2 - 1 = -r. Is (-340)/(-16) + r/4 composite?\n | True\n | ibivibiv/math_instruct | |
Solve 0 = 4*q - 3*q - 4*r + 24, -5*q - 2*r - 1915 = -1883 for q.\n | -8\n | ibivibiv/math_instruct | |
Calculate 391692 + -1.56.\n | 391690.44\n | ibivibiv/math_instruct | |
What is the highest common divisor of 920672 and 5488?\n | 16\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {d: 3, s: 9}. Give prob of picking 2 s.\n | 6/11\n | ibivibiv/math_instruct | |
b"What is the wth term of 35467378, 70934764, 106402152, 141869542, 177336934?\n" | w**2 + 35467383*w - 6\n | ibivibiv/math_instruct | |
What is next in -126, -906, -3016, -7122, -13890, -23986?\n | -38076\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 3902219206?\n | 2\n | ibivibiv/math_instruct | |
What is 584 minutes after 12:37 PM?\n | 10:21 PM\n | ibivibiv/math_instruct | |
Let k(p) = -6*p - 1. Let d(j) = -3*j - 8. Let t(r) = d(r) - 4*k(r). Give t(-3).\n | -67\n | ibivibiv/math_instruct |
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