et p(f) be the third derivative of 0*f + 0*f**4 + 1 + 1/20*f**5 - 130/3*f**3 + f**2 + 1/60*f**6. What is the derivative of p(h) wrt h?
6*h**2 + 6*h
Suppose -4*z + 3*j + 2 = 0, -10 = -4*z - 3*j + 4. Find the third derivative of -780*c + 780*c + 44*c**z + 96*c**6 wrt c.
11520*c**3
Find the second derivative of 440 + q**5 - 304*q**3 - 14*q**4 - 51*q - 14*q**5 + 14*q**4 - 416 wrt q.
-260*q**3 - 1824*q
Let d(s) be the second derivative of -383*s**6/30 - s**5/10 + s**4/2 + 5*s**3/6 + 237*s**2/2 - 6571*s. Find the second derivative of d(x) wrt x.
-4596*x**2 - 12*x + 12
Let x(b) = -52*b + 1157. Let m be x(0). What is the second derivative of -8*d**2 - d**4 - m*d + 981*d + 4*d**2 wrt d?
-12*d**2 - 8
Suppose 0 = 4*d - d - 6. Suppose 1531 = 74*y - 245. Find the third derivative of y*b**d - 13*b**3 + 6*b**2 + 2*b**3 wrt b.
-66
Let h(k) be the first derivative of 13*k**3 - 13*k**2 - 12893*k + 10849. What is the first derivative of h(t) wrt t?
78*t - 26
Let s(i) = -i**2 - 5*i + 20. Let x be s(-8). Let p be 20*40/96 - x/6. What is the derivative of -6*d**2 + 19 + 13 - p wrt d?
-12*d
Let w be 8/72*6*(1 + 2). What is the third derivative of 10*a**4 + 6*a**4 - 2*a - 17*a**3 + a - 113*a**2 - 12*a**4 + w*a**3 wrt a?
96*a - 90
Let d(o) be the first derivative of 1203*o**4/4 + 1732*o**3/3 + 1849. Find the third derivative of d(y) wrt y.
7218
Let o(j) be the third derivative of 929*j**5/60 - 15*j**4/2 - 469*j**2. What is the second derivative of o(a) wrt a?
1858
What is the second derivative of -7 + 7 + 84691*k**3 - 3526*k - 25*k**2 - 84685*k**3 - 28*k**2 wrt k?
36*k - 106
Suppose -16*z - 2126 = -8510. Find the second derivative of 60*d - 799*d**3 + z*d**3 + 7*d**5 - 191*d + 400*d**3 wrt d.
140*d**3
Let j = 18 - 15. Suppose 0 = -x + 2*w + 9, 3*x - j*w = -0 + 24. Differentiate -x*o**3 + 7*o**3 - 7*o**3 - o**3 - 19 with respect to o.
-24*o**2
Suppose 3*h - 7*h - i = -6, 0 = 5*h - 3*i + 1. Let m be (-1 + 5 + (h - 2))*9. What is the second derivative of -m*r + 113*r - 17*r - 34*r - 12*r**3 wrt r?
-72*r
What is the second derivative of -474742*d - 5 + 9 + 11*d**2 - 148*d**4 + 474784*d - 455*d**4 wrt d?
-7236*d**2 + 22
Let o(y) be the second derivative of -y**7/21 + 461*y**6/30 - y**4/6 - y**2/2 + 600*y. Find the third derivative of o(z) wrt z.
-120*z**2 + 11064*z
What is the derivative of 49 - 215 - 2*n**4 + 4*n**4 - 14*n**3 - 89*n**3 - 5*n**3 wrt n?
8*n**3 - 324*n**2
Let m(i) = 2492*i + 2382. Let b(r) = -4982*r - 4753. Let f(y) = -3*b(y) - 5*m(y). Find the first derivative of f(j) wrt j.
2486
Find the second derivative of -31532*o**3 - 1011*o - 1 - 31536*o**3 + 883*o**4 + 63068*o**3 wrt o.
10596*o**2
Find the third derivative of -4*i**2 + 146960*i**6 + 2*i**5 + 3*i**2 - 1055*i - 98*i**4 + 2*i**2 - 2*i**2 - 146963*i**6 wrt i.
-360*i**3 + 120*i**2 - 2352*i
Let d(t) be the first derivative of 781*t**4/4 + t**2 + 1043*t + 8991. What is the second derivative of d(a) wrt a?
4686*a
Find the first derivative of 2934 + 9*x**2 - 170*x**3 - 173*x**3 - 3*x**2 + 112*x**3 wrt x.
-693*x**2 + 12*x
Let q(d) be the second derivative of d**5/5 + d**4/6 - 44*d**3/3 + 2825*d**2/2 - 35*d + 31. Differentiate q(i) with respect to i.
12*i**2 + 4*i - 88
Let t(g) = g**3 + 12*g**2 + 18*g - 8. Let j be t(-10). Let z(h) be the first derivative of 9 + 5*h**4 - 17*h + j - 14*h**4. Differentiate z(y) wrt y.
-108*y**2
Suppose 0 = -35*z + 34*z, 485 = 5*g - 2*z. What is the derivative of -50*d + g*d - 45*d - 95 wrt d?
2
Let s(k) be the second derivative of -k**6/10 + 13*k**5/5 + k**4/3 - 2157*k**2 - 64*k - 2. Differentiate s(x) wrt x.
-12*x**3 + 156*x**2 + 8*x
Let x be (-24)/(-18) + 406/168. Let j(o) be the first derivative of 0*o + 0*o**3 + 31/2*o**2 - 9 - x*o**4. What is the second derivative of j(y) wrt y?
-90*y
Let p be (144/60)/((-12)/(-45)). What is the second derivative of -12 - 2*i - 10 + p*i**4 + 4 + 10*i**4 wrt i?
228*i**2
Let c = -38 + 58. Let r(i) be the first derivative of c*i**2 - 423*i + 214*i + 16 + 217*i. Differentiate r(b) with respect to b.
40
Let g(i) = -8*i + 9. Let m(f) = 23*f - 26. Let s(r) = 9*r - 1. Let a be s(1). Let z = -25 + a. Let b(d) = z*g(d) - 6*m(d). What is the derivative of b(v) wrt v?
-2
Let q(s) = -2*s**2 - 720*s - 2504. Let w(l) = -2*l**2 - 721*l - 2496. Let k(o) = -7*q(o) + 6*w(o). What is the derivative of k(z) wrt z?
4*z + 714
Let f(l) = l**3 - 2*l + 2. Let a be f(2). Suppose -a*v + 116 = -52. Find the third derivative of -v*t**2 - 38*t**3 + 23*t**2 + 8*t**3 - 42*t**2 wrt t.
-180
Let n(x) be the first derivative of -4*x**6 + 5*x**4/2 + 3847*x**2/2 + 72. Find the second derivative of n(u) wrt u.
-480*u**3 + 60*u
Let m(h) = -h**3 + 26*h - 3. Let z be m(5). Find the third derivative of -8*r**4 - 8*r**2 - 17*r**4 + z + 4*r**4 wrt r.
-504*r
Let c(g) = g**2 - 3*g - 5. Let q be c(7). What is the derivative of 141*x + 152*x + 41*x - 66*x + 109 + q wrt x?
268
Let t(q) be the first derivative of 2*q - 73 + 44/5*q**5 + 0*q**3 - 1/2*q**2 + 0*q**4. What is the second derivative of t(o) wrt o?
528*o**2
Suppose 0*m + 212 = 4*m. What is the second derivative of -34*v**2 + 62*v**2 + 2 + 3 + 110*v - 3 + m*v**2 wrt v?
162
Suppose -3*q = -5*k + 55, 3*q - 1 = 3*k - 5*k. Let w be (-5)/(10/k) + 47. What is the third derivative of w*a**2 + 25*a**4 + 0*a**2 + 2*a**2 - 15*a**2 wrt a?
600*a
Suppose -w + 0*w + 3*x = -441, w - 5*x = 445. Find the third derivative of 35 + 432*b + w*b + 2*b**2 - b**6 - 867*b - 8*b**3 wrt b.
-120*b**3 - 48
Let h(d) = -190*d**2 + 619*d - 7. Let l(p) = 93*p**2 - 310*p + 4. Let f = 1004 - 1000. Let j(r) = f*h(r) + 7*l(r). Find the second derivative of j(b) wrt b.
-218
Let j(f) = -2*f**3 - 3*f**2 + 2*f + 1. Let p(c) = 1380*c**3 + 12*c**2 + 1396*c - 4. Let r(w) = 4*j(w) + p(w). Find the second derivative of r(m) wrt m.
8232*m
Let i(n) be the first derivative of -n**6/2 + 7*n**5/5 + 5*n**2/2 + 68*n - 1420. What is the second derivative of i(o) wrt o?
-60*o**3 + 84*o**2
Let r = -278 + 356. Differentiate 104*l - 31 - r*l - 308*l wrt l.
-282
Let n = 49 + -5. Suppose -2*h = -28 - n. What is the third derivative of -22*v**5 - h*v**5 + 16*v**2 + 66*v**5 wrt v?
480*v**2
Find the second derivative of -402 + 2708*n**4 - 211*n + 216 + 192 wrt n.
32496*n**2
Let k(w) = w**2 + w + 2. Let a(s) = 78*s**2 - 145*s - 4. Suppose 0 = -9*l + 29 - 47. Let y(q) = l*k(q) - a(q). Find the second derivative of y(o) wrt o.
-160
Find the third derivative of 1257*k + 20*k**2 + 1432*k - 33*k**2 - 2963*k**4 + 11*k**2 wrt k.
-71112*k
Let v(c) = -12*c**3 - 8*c**2 - 1055*c + 6406. Let b(x) = 4*x**3 + 3*x**2 + 353*x - 2135. Let y(s) = 8*b(s) + 3*v(s). What is the derivative of y(h) wrt h?
-12*h**2 - 341
What is the second derivative of -1746 + 3766*t**2 - 721*t + 2588*t**2 - 1757 + 3507 wrt t?
12708
Suppose 7*v - 32 = 3*v. Let q be 15/20*v*2/6. Find the third derivative of -16*c**5 + q*c**2 + 43*c**5 + 21*c**2 wrt c.
1620*c**2
Let h(t) be the first derivative of 70*t - 77/5*t**5 + 0*t**2 - 37 - 1/2*t**4 + 2/3*t**3. What is the third derivative of h(q) wrt q?
-1848*q - 12
Let l = 44 - 125. Let r = l + 84. Find the first derivative of -6*q - 1 - 28*q + 9*q - r*q wrt q.
-28
What is the derivative of 0*a**3 + 4*a**3 - 1191*a**2 + 1340*a**2 - 2*a**3 - 1614 - a**3 wrt a?
3*a**2 + 298*a
Let f(o) = o**2 + 9*o + 29. Let s be f(-7). What is the second derivative of 6*l - 13*l**3 + 25*l**3 - l + s + 0*l + 2*l**5 wrt l?
40*l**3 + 72*l
Let v(s) be the first derivative of -5*s - 13*s**4 + 489*s**2 - 488*s**2 - 2*s - 97. What is the first derivative of v(o) wrt o?
-156*o**2 + 2
Let s(y) = -12*y**2 + 4*y + 2. Let r(b) = 13227*b**2 + 16*b - 213. Let c(f) = -r(f) + 4*s(f). Differentiate c(u) wrt u.
-26550*u
Suppose 0 = -3*p + 7*p - 28. Find the third derivative of -t**2 - 45*t**3 - p*t + 11*t - 2*t + 4*t wrt t.
-270
Let d = -147 + 162. What is the second derivative of 154*z**5 + 60*z - d*z**5 + 2*z - 55*z**5 wrt z?
1680*z**3
Suppose 145 + 382 = 17*x. Let b = 6 + -4. Find the second derivative of 49*c**5 - x*c**5 + b*c - 4*c wrt c.
360*c**3
Let f(r) be the third derivative of 0*r + 0 + 0*r**4 + 0*r**6 - 1/105*r**7 + 5*r**2 - r**3 + 2/15*r**5. What is the derivative of f(h) wrt h?
-8*h**3 + 16*h
Let q = -689 + 692. Let p(a) be the third derivative of 2*a**q + 1/8*a**6 + 0*a**4 + 8*a**2 + 0 + 0*a + 0*a**5. Find the fir