instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the derivative of 4020099*a**2*z**3 - 16755510*a**2 - 3*z**3 wrt z?\n | 12060297*a**2*z**2 - 9*z**2\n | ibivibiv/math_instruct | |
Let v(x) = x**3 + 71*x**2 + 81*x + 763. Let f be v(-70). Which is greater: f or -555?\n | f\n | ibivibiv/math_instruct | |
Does 4045 = 2730?\n | False\n | ibivibiv/math_instruct | |
Let j be 4/6 + 52/(-60). Suppose -12 = y + 3*y. Let m = -5 - y. Which is the third biggest value? (a) -4 (b) m (c) j\n | a\n | ibivibiv/math_instruct | |
Simplify (sqrt(19) - sqrt(114)/sqrt(6)) + 1 + sqrt(19) - (sqrt(152)/sqrt(8))**2*-1.\n | sqrt(19) + 20\n | ibivibiv/math_instruct | |
In base 16, what is 5 - -144526e?\n | 1445273\n | ibivibiv/math_instruct | |
Let d(y) = y. Let m(i) = -4*i. Suppose 4*n + 0*n = 4. Let l(s) = s. Suppose -6 = 2*r - 16. Let p(c) = n*m(c) + r*l(c). What is d(p(x))?\n | x\n | ibivibiv/math_instruct | |
Calculate (214 - 344) + (-11 - -45).\n | -96\n | ibivibiv/math_instruct | |
What is the next term in 51806562, 103613135, 155419708?\n | 207226281\n | ibivibiv/math_instruct | |
Calculate (((-21)/(-72))/((7189/52)/79))/25.\n | 1/150\n | ibivibiv/math_instruct | |
Convert 0 (base 8) to base 7.\n | 0\n | ibivibiv/math_instruct | |
Let w(x) = 12*x**2 - 1692*x + 1692*x. Let n(j) = j + 5. Calculate w(n(i)).\n | 12*i**2 + 120*i + 300\n | ibivibiv/math_instruct | |
Let h(y) = -y**2 - 22*y + 1. What is the units digit of h(-15)?\n | 6\n | ibivibiv/math_instruct | |
List the prime factors of 445258392.\n | 2, 3, 18552433\n | ibivibiv/math_instruct | |
What is the value of 4/(-3)*3/(-14)?\n | 2/7\n | ibivibiv/math_instruct | |
Let j be -8 - -1 - (-13 - -6). Let u = -29 - -23. Let x be (-4)/(-3) + (-16)/u. Solve -v + x*v - 5*r = 5, j = -5*v + 5*r + 5 for v.\n | 0\n | ibivibiv/math_instruct | |
What is prob of picking 1 w and 2 a when three letters picked without replacement from {s: 1, w: 7, a: 2, e: 9}?\n | 7/969\n | ibivibiv/math_instruct | |
What are the prime factors of 16985005?\n | 5, 3397001\n | ibivibiv/math_instruct | |
Let v = -24 - -11. Let p be 28/v + 8/52. Is -2 bigger than p?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in -13*j**3 - 13*j**3 + 14*j**3 + 10*j**3.\n | -2*j**3\n | ibivibiv/math_instruct | |
Which is the nearest to -0.0825? (a) -1.18 (b) 8 (c) 2\n | a\n | ibivibiv/math_instruct | |
Put 14, 1, -11 in decreasing order.\n | 14, 1, -11\n | ibivibiv/math_instruct | |
Suppose -2*y - 20 = 2*y, 3*y = -3*t + 48. Is t a multiple of 3?\n | True\n | ibivibiv/math_instruct | |
Let u(v) be the third derivative of v**10/151200 + v**8/1260 + v**6/18 - 7*v**5/20 + 5*v**2. Let c(x) be the third derivative of u(x). Differentiate c(m) wrt m.\n | 4*m**3 + 32*m\n | ibivibiv/math_instruct | |
Let b(x) be the first derivative of 0*x**4 + 0*x - 5/3*x**6 + 0*x**3 + 7/2*x**2 - 4 + 0*x**5. What is the second derivative of b(i) wrt i?\n | -200*i**3\n | ibivibiv/math_instruct | |
Suppose -4*z = -4*o - 776, 2*z - 3*o = -56 + 444. Let k = -104 + z. Let t = k + -88. Solve 0 = 2*s - 4*f, 2*s + 3*f = -t*f + 9 for s.\n | 2\n | ibivibiv/math_instruct | |
Three letters picked without replacement from llslolrsommslrrm. What is prob of picking 1 o, 1 r, and 1 s?\n | 9/280\n | ibivibiv/math_instruct | |
Is 137859823 composite?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 8*t + 32*t + 20*t.\n | 60*t\n | ibivibiv/math_instruct | |
In base 16, what is 26e - -1?\n | 26f\n | ibivibiv/math_instruct | |
Collect the terms in -d - 206 + 206.\n | -d\n | ibivibiv/math_instruct | |
Calculate ((-11)/(11/18))/(154/220*-15).\n | 12/7\n | ibivibiv/math_instruct | |
Is 32126179 prime?\n | True\n | ibivibiv/math_instruct | |
Expand y**3 + 3*y**3 - 2*y**3 + (-1 + 2 + 0)*(3*y**3 + y**3 - 6*y**3) - 5*y**3 + 3*y**3 + 0*y**3 + y - 2*y**3 - y - 391331*y + 1970*y**3 + 391331*y.\n | 1966*y**3\n | ibivibiv/math_instruct | |
How many minutes are there between 11:48 PM and 4:40 AM?\n | 292\n | ibivibiv/math_instruct | |
Let u be 2/(-3) + (-17769)/9. Let w = -4051/2 - u. Let s = -9411/368 + 558/23. Find the common denominator of w and s.\n | 16\n | ibivibiv/math_instruct | |
Simplify 3 + ((-3*sqrt(567)*-1)**2 - (0 + sqrt(567))*5).\n | -45*sqrt(7) + 5106\n | ibivibiv/math_instruct | |
Collect the terms in -60652*l + 29*l**2 + 14*l**2 - 74*l**2 + 33*l**2.\n | 2*l**2 - 60652*l\n | ibivibiv/math_instruct | |
Expand (0*n**2 + n**2 + 0*n**2)*(1 + 3*n**2 - 1 + (5*n**2 - 2*n**2 - n**2)*(8 - 4 + 3)).\n | 17*n**4\n | ibivibiv/math_instruct | |
What is prob of sequence jcj when three letters picked without replacement from apcccpcpjdapajpcc?\n | 1/340\n | ibivibiv/math_instruct | |
Put -0.42, 2/7671, -1 in descending order.\n | 2/7671, -0.42, -1\n | ibivibiv/math_instruct | |
Suppose 5*k = 0, 230 = -z - 3*k + 302. Solve -69*l - 2 = 2*u - z*l, -3*u - 2*l - 3 = 0 for u.\n | -1\n | ibivibiv/math_instruct | |
Let t be 252 - (-7 + 7)/8. Suppose f + 5 = 0, -2*l + 311 = f - t. Calculate the lowest common multiple of 44 and l.\n | 3124\n | ibivibiv/math_instruct | |
Which is smaller: -228278 or -228253?\n | -228278\n | ibivibiv/math_instruct | |
What is the value of -4 + (36/126 - 55/(-28))?\n | -7/4\n | ibivibiv/math_instruct | |
Suppose -2*t - 1 = -11, -4*t + 25 = 5*n. What is the lowest common multiple of 9 and (n - (-2)/(-4))/((-11)/(-528))?\n | 72\n | ibivibiv/math_instruct | |
Let w = -4 + 9. Suppose 5*u - w = 5. Suppose 7*y - 5*b - 260 = 2*y, u*y = 4*b + 112. What is the highest common divisor of y and 6?\n | 6\n | ibivibiv/math_instruct | |
Suppose 3*k - 126 = -39*k. Solve 2*c = -3*c - k*c for c.\n | 0\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-3.1925 / 11.152) + (-84.1634 + 47.5173) | -36.9324 | ibivibiv/math_instruct | |
Simplify (f**(-1/5))**(6/25)/((f*f*f**(-2/23))/f*f*f**(-1/11)) assuming f is positive.\n | f**(-59143/31625)\n | ibivibiv/math_instruct | |
Let a(r) be the first derivative of -439*r**3/3 - 174. Let h(b) = 2*b. What is a(h(j))?\n | -1756*j**2\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 1060064 and 80.\n | 16\n | ibivibiv/math_instruct | |
Let q(b) be the third derivative of -7*b**4/24 + 53*b**3/6 - 12*b**2 + b. Let k be q(7). Solve k*u - 8*u = -2*m + 18, 3 = -4*u - m for u.\n | -2\n | ibivibiv/math_instruct | |
Let r = 0.01 - -0.79. Let d = 0.9 - r. Let j = -4 - -4. Which is the closest to d? (a) 2/3 (b) j (c) 5\n | b\n | ibivibiv/math_instruct | |
Calculate ((-9)/(-8))/((-14)/(-112)).\n | 9\n | ibivibiv/math_instruct | |
Sum 0.056 and -10.6.\n | -10.544\n | ibivibiv/math_instruct | |
What is 197 minutes after 7:14 PM?\n | 10:31 PM\n | ibivibiv/math_instruct | |
Sort 5, -4, 1088 in increasing order.\n | -4, 5, 1088\n | ibivibiv/math_instruct | |
What is the units digit of 109840?\n | 0\n | ibivibiv/math_instruct | |
What is the value of (18/(-30))/(((-6)/(-10))/(-3))?\n | 3\n | ibivibiv/math_instruct | |
Differentiate h*x**4 + 4*h*x**3 - 36*h*x**2 - 433*h with respect to x.\n | 4*h*x**3 + 12*h*x**2 - 72*h*x\n | ibivibiv/math_instruct | |
Is 531 a factor of 1613709?\n | True\n | ibivibiv/math_instruct | |
What is 54359 to the power of 1/4, to the nearest integer?\n | 15\n | ibivibiv/math_instruct | |
Is 59434183 a composite number?\n | True\n | ibivibiv/math_instruct | |
What is next in -39002039, -78004078, -117006117?\n | -156008156\n | ibivibiv/math_instruct | |
Let d = -2.31 - 0.09. Let g = d + 2.2. Let z = -0.1 - 0.9. Which is the nearest to -1? (a) g (b) -1/8 (c) z\n | c\n | ibivibiv/math_instruct | |
Solve 3*i + d + 0 + 2 = 0, -12717*i + 4*d - 2 = -12719*i for i.\n | -1\n | ibivibiv/math_instruct | |
What is the first derivative of -39*f**2 - 3*f - 13 + 33*f**2 + 20 + 18 wrt f?\n | -12*f - 3\n | ibivibiv/math_instruct | |
In base 14, what is -20 + 3?\n | -1b\n | ibivibiv/math_instruct | |
Express (0 + 0 - 2*k**3)*(-40 + 257*k - 507*k + 248*k)*(2 - 2 - 2) as o*k**3 + g*k + u*k**2 + r*k**4 + s and give o.\n | -160\n | ibivibiv/math_instruct | |
Solve 0 = 4*y + d + 27, 4*y - 38*d + 35*d = -15 for y.\n | -6\n | ibivibiv/math_instruct | |
Let h = 3689 - 14155. Let t = -6837 - h. Is t a composite number?\n | True\n | ibivibiv/math_instruct | |
Suppose -330 = -v + 314. Suppose 4*s - v = -0*s. Is s composite?\n | True\n | ibivibiv/math_instruct | |
Expand (57785*w - 545*w**3 - 57785*w)*(-2*w - 2 + 0 + 0).\n | 1090*w**4 + 1090*w**3\n | ibivibiv/math_instruct | |
Is 91 a factor of 6096?\n | False\n | ibivibiv/math_instruct | |
What is ((-1)/(-2))/((-19)/(-38))?\n | 1\n | ibivibiv/math_instruct | |
Solve 0 = 4*z + 5*y - 31, 6*y - 14 = -5*z + 8*y for z.\n | 4\n | ibivibiv/math_instruct | |
Is 7 a factor of 1250543862?\n | False\n | ibivibiv/math_instruct | |
Let f(u) be the third derivative of u**5/20 + u**4/6 - 8*u**2. Find the second derivative of f(y) wrt y.\n | 6\n | ibivibiv/math_instruct | |
Express 2 + 2*j**2 + 59*j + 4*j**2 + 1 - 8*j**2 + 7*j**2 in the form l*j**2 + r + u*j and give l.\n | 5\n | ibivibiv/math_instruct | |
Calculate (-22 - -61) + 0 + 1 + (13 - 3) - -12.\n | 62\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {v: 3, t: 1, f: 1}. Give prob of sequence vv.\n | 3/10\n | ibivibiv/math_instruct | |
Let v(h) = -3*h**3 + 5*h**2 + 6*h. Give v(-1).\n | 2\n | ibivibiv/math_instruct | |
Let t(b) = 12*b**2 - 17*b + 8. Let a(k) = 18*k**2 - 26*k + 13. Let l(p) = -5*a(p) + 8*t(p). What is the tens digit of l(8)?\n | 3\n | ibivibiv/math_instruct | |
Let s(n) = -n**2 + 5*n - 4. Let w be s(4). Suppose -3*g + w*l + 5*l = -45, -2*l - 36 = -3*g. What is the remainder when 48 is divided by g?\n | 8\n | ibivibiv/math_instruct | |
Simplify (w**(-5/7)/(w**(-6/5)*w))/(w**6*w**(-9/7)) assuming w is positive.\n | w**(-183/35)\n | ibivibiv/math_instruct | |
Is 0.2 > -2187?\n | True\n | ibivibiv/math_instruct | |
Suppose 2*j = 4, 0 = 4*f - 14*j + 16*j - 144. What is the least common multiple of 5 and f?\n | 35\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 437291538 and 4728?\n | 1182\n | ibivibiv/math_instruct | |
What is 23 divided by -3?\n | -23/3\n | ibivibiv/math_instruct | |
What is -5 - 6*63/(-27)?\n | 9\n | ibivibiv/math_instruct | |
What is the nearest to -1/3 in -0.5, 0.4, -26928, -5, 2?\n | -0.5\n | ibivibiv/math_instruct | |
0 + 7 - (5 - 3 - 0)\n | 5\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-8.8886 % -27.5714) * -10.4616 | 92.9890 | ibivibiv/math_instruct | |
Let q = 31 - -59. Let y = -142 + q. Let h = 50.67 + y. What is h rounded to one dp?\n | -1.3\n | ibivibiv/math_instruct | |
What is next in 65, 78, 91?\n | 104\n | ibivibiv/math_instruct | |
Simplify (5*(-5 + (sqrt(832) - sqrt(832)*-2) + -3)*-2)**2.\n | -38400*sqrt(13) + 755200\n | ibivibiv/math_instruct | |
Let j be -1 - 21/(-18) - (-23)/6. Suppose -j*m + 2*h - 714 = 0, -4*h + 6 - 10 = 0. Is m greater than or equal to -179?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = -5*z + 15, -4*v + z + 24 = 19. Solve -5*p = 3*h + 16, -6*h + 22 = -2*p - v*h for p.\n | -5\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 v and 1 l when two letters picked without replacement from vqxlzmlq.\n | 1/14\n | ibivibiv/math_instruct |
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