 4*f + 6*f**5 wrt f.
120*f**3
Let o = -22 + 9. Let q be -2 + 2 + (-1 - o). What is the derivative of 10 - 2*t**3 - 5 - 8 + q*t**3 wrt t?
30*t**2
Let t(x) = 4*x**2. Let u be t(-1). Let p(m) = m**2 - 3*m - 1. Let c be p(u). Find the third derivative of -3*s**2 + 3*s**3 - s**2 - s**c + 2*s**2 wrt s.
12
Let m(h) = -6*h**4 + h**2 + 1. Let p(t) = 589*t**4 + 21*t**2 + 7*t + 5. Let w(g) = 5*m(g) - p(g). What is the third derivative of w(b) wrt b?
-14856*b
What is the first derivative of -69*f + 126 - 3*f**2 - 6*f**2 + 61*f wrt f?
-18*f - 8
Let r(b) be the third derivative of 13*b**4/3 + 10*b**3/3 - 93*b**2. Differentiate r(w) with respect to w.
104
Let w(s) = s**2 - s + 12. Let g = -19 + 19. Let l be w(g). What is the third derivative of 0*y + 0*y - y**4 + 14*y**2 - l*y**2 wrt y?
-24*y
Find the second derivative of -31 - 10*g**3 + 22*g + 4*g**2 - 24*g + 20 wrt g.
-60*g + 8
Let y(x) = -16*x**2 - 25*x - 186. Let h(n) = 5*n**2 + 9*n + 62. Let t(v) = -11*h(v) - 4*y(v). Differentiate t(c) with respect to c.
18*c + 1
Let c(x) be the third derivative of -2*x**8/7 + 13*x**4/12 - 56*x**2. Find the second derivative of c(s) wrt s.
-1920*s**3
Find the third derivative of 0*m + 1753*m**3 - 2*m - 1794*m**3 + m**4 + 6*m**2 wrt m.
24*m - 246
Suppose 0 = -4*u - u + 105. Let z = 1921 + -1918. Differentiate -14*a**3 + 11 + 28*a**3 - u*a**z wrt a.
-21*a**2
Let l be (-7 + -1 + -3)*(-3)/6. Let s(x) be the second derivative of -l*x**2 - 1/3*x**3 + 0 - 3*x. What is the first derivative of s(q) wrt q?
-2
Find the third derivative of 4*j**2 - 17578*j**5 + 17578*j**5 + 69*j**6 wrt j.
8280*j**3
Let i(a) = -a**3 - 3*a**2 + 1. Let v(r) = 4*r**3 - 49*r**2 - 2*r + 24. Let d(x) = 5*i(x) + v(x). Find the second derivative of d(w) wrt w.
-6*w - 128
Let u = 461 - 227. Let d(l) = l**3 + 6*l**2 + 6*l + 12. Let m be d(-5). What is the third derivative of -m*w**2 - 234*w**3 + 3*w**5 + u*w**3 wrt w?
180*w**2
Let h(j) be the second derivative of 9*j**8/56 - j**4/4 + j**3 - 32*j - 1. Find the third derivative of h(r) wrt r.
1080*r**3
Let k(g) be the first derivative of -5*g**6/6 + 7*g**4/4 - 463*g**2/2 - 181. What is the second derivative of k(d) wrt d?
-100*d**3 + 42*d
Let n = -17 - -31. Find the third derivative of 32*w - n*w**4 - 32*w - 13*w**2 wrt w.
-336*w
Let z(q) be the second derivative of -5*q**2 + 0*q**5 + 7/15*q**6 + 0 + 0*q**4 + 0*q**3 - 32*q. Differentiate z(h) with respect to h.
56*h**3
Let u(s) be the first derivative of -5*s**8/28 + 5*s**4/6 - 23*s - 8. Let b(t) be the first derivative of u(t). What is the third derivative of b(p) wrt p?
-1200*p**3
Let h(y) be the third derivative of y**7/720 - y**6/360 + 11*y**5/60 - 10*y**2. Let c(f) be the third derivative of h(f). What is the derivative of c(z) wrt z?
7
Let s(c) = -c**3 + c**2 - 1. Let f(u) = 5*u**4 + 15*u**3 - 15*u**2 + 20. Let p = 10 - 5. Let i = -6 + p. Let a(h) = i*f(h) - 15*s(h). Differentiate a(r) wrt r.
-20*r**3
Let f(d) = 432*d**3 - 2*d**2 + 299*d + 2. Let t(g) = -2160*g**3 + 10*g**2 - 1498*g - 11. Let i(u) = -11*f(u) - 2*t(u). Find the second derivative of i(a) wrt a.
-2592*a + 4
Let k(c) = c - 1 - 7*c - c - 17*c. Let u(n) = 6*n - 1 - 13*n - 9*n. Let s(j) = -5*k(j) + 7*u(j). Differentiate s(a) with respect to a.
8
Let f(k) be the first derivative of -23*k**7/7 + 217*k**3/3 + 181. Find the third derivative of f(t) wrt t.
-2760*t**3
Let d(o) = o**3 + 4*o**2 + 2*o + 11. Let v be d(-4). Find the third derivative of 30*r**v + 830*r - 44*r**2 - 830*r wrt r.
180
Let s(p) be the first derivative of 2 - 17*p + 2/5*p**5 + 0*p**3 + 0*p**2 + 0*p**4. Differentiate s(l) wrt l.
8*l**3
Find the first derivative of -93*s - 94*s + 185*s + 77 - 7*s**2 wrt s.
-14*s - 2
Find the second derivative of -129*f**2 + 321*f**2 - 796*f - 206*f**2 - 190*f**2 + 850*f**2 wrt f.
1292
Let y be 92/8 + 2/4. Find the third derivative of -80 + 4*l**4 + l**2 + 80 + y*l**4 wrt l.
384*l
Let d(j) be the third derivative of 0*j**3 + 0*j**5 + 0*j**6 - 31*j**2 - 13/210*j**7 + 0*j + 0 - 55/24*j**4. Find the second derivative of d(p) wrt p.
-156*p**2
Let d(r) be the first derivative of -r**6/30 - r**4/3 - r**3/6 - 27*r - 8. Let g(v) be the first derivative of d(v). What is the third derivative of g(h) wrt h?
-24*h
Let a(i) = i**2 - i - 1. Let h be ((-6)/(-4 - -1))/2. Let k(q) = 2*q**4 + 3*q + 3. Let o(r) = h*k(r) + 3*a(r). What is the third derivative of o(t) wrt t?
48*t
Let b be 4/(-4) + 2 - 2. Let y be (-2 - b) + 4 + -1. Find the second derivative of -2*c + 8*c**y - 3*c**2 + 0 + 0 wrt c.
10
Let z(b) be the first derivative of 14*b**6/3 + 2*b**3/3 - 97*b + 195. Find the third derivative of z(k) wrt k.
1680*k**2
Let q(i) be the first derivative of -7*i**5/15 - 5*i**4/12 - 15*i**2 + 5. Let s(p) be the second derivative of q(p). Find the second derivative of s(w) wrt w.
-56
Let g(r) be the second derivative of r**6/15 - r**5 - 163*r**2 - 4*r + 6. Differentiate g(c) with respect to c.
8*c**3 - 60*c**2
Let b(c) = c**2 + 3*c + 7. Let d = 22 + -26. Let w be b(d). Differentiate 14 - 336*n**2 + 336*n**2 + w*n**3 with respect to n.
33*n**2
Suppose -4*m = 2 - 10. Differentiate 9 + 23 + 3*v**2 - 21*v**m - 3*v**2 with respect to v.
-42*v
Let i(g) be the first derivative of -44/3*g**3 + 0*g + 0*g**2 + 0*g**4 + 20 + 3/5*g**5. What is the third derivative of i(f) wrt f?
72*f
Find the third derivative of 60*x**4 + 17*x + 9*x**2 - 11 + 9 - 17*x wrt x.
1440*x
What is the second derivative of -20*h**2 - 45 - h - 41*h**2 + 1 wrt h?
-122
Let l(g) be the first derivative of 26/3*g**3 - 14*g**2 + 0*g - 17. Find the second derivative of l(i) wrt i.
52
Suppose 9*u - 10*u = -6. Differentiate u - 3*l - 10*l**2 + 3*l + 4 with respect to l.
-20*l
Let x(i) be the third derivative of -i**5/60 - i**4/3 + 15*i**3/2 + 3*i**2. What is the derivative of x(h) wrt h?
-2*h - 8
Suppose u = -5*d + 4*u, -2*d = 5*u. Let r be 5 + d + 1 + -3. What is the second derivative of -k + 2*k**5 + 4*k + r*k wrt k?
40*k**3
Let g(z) be the first derivative of -5*z**4/12 + 4*z**2 + 18*z - 17. Let h(n) be the first derivative of g(n). Find the first derivative of h(v) wrt v.
-10*v
Find the second derivative of 6 - 9*z**4 + 3*z**3 + 29*z + 0 - z**3 - 7 wrt z.
-108*z**2 + 12*z
Let r(f) be the third derivative of -5*f**7/7 - 24*f**3 + f**2 - 2. Differentiate r(l) wrt l.
-600*l**3
Let b(x) be the first derivative of -40*x**5 + 5*x**3 + 177. What is the third derivative of b(i) wrt i?
-4800*i
Let f(d) = -14*d**4 + 4*d. Let i(o) = 14*o**4 - 5*o. Suppose -6 = -95*t + 94*t. Let s(j) = t*f(j) + 5*i(j). What is the second derivative of s(c) wrt c?
-168*c**2
Let w(x) be the first derivative of -x**10/1260 - x**6/40 + 5*x**3/3 - 8. Let t(h) be the third derivative of w(h). What is the third derivative of t(k) wrt k?
-480*k**3
Let t(j) be the first derivative of -73*j**3/3 - 204*j + 380. What is the derivative of t(g) wrt g?
-146*g
Suppose 12*d = 7*d - 210. Let r be -7 - d - (1 + -1). What is the derivative of -r*t - 2*t**3 + 1 + 35*t wrt t?
-6*t**2
Let z(p) be the first derivative of p**8/1680 - p**6/20 + 14*p**3/3 + 20. Let x(l) be the third derivative of z(l). What is the third derivative of x(d) wrt d?
24*d
Let l(t) be the second derivative of -25/6*t**3 + 2/3*t**4 + 0 + 0*t**2 - 14*t. What is the second derivative of l(z) wrt z?
16
Find the first derivative of o**2 + 9*o**2 - 83 + 13*o**2 + 33 wrt o.
46*o
Let v(k) be the first derivative of 6*k**5/5 - k**4/2 - 66*k + 104. Differentiate v(s) wrt s.
24*s**3 - 6*s**2
Suppose 59*p - 20 = 54*p. Find the third derivative of -5*g**4 + g**p - 9*g**4 - 24*g**2 wrt g.
-312*g
Let q(n) = n**2 - 12*n - 9. Let p be q(13). What is the third derivative of t**p + t**4 - 15*t**2 + 12*t**2 + 7*t**3 + 12*t**3 wrt t?
48*t + 114
Let v = -23 - -25. What is the third derivative of -3*k**6 - 2*k**4 + 0*k**4 + v*k**4 - 3*k**2 wrt k?
-360*k**3
Let q(n) = n + 9. Let f be q(-5). Let y = f + -1. What is the third derivative of 5*m**2 - m**3 + 0*m**2 + y*m**3 wrt m?
12
Suppose 0 = -c + 5*k + 12, c = 2*c - 2*k - 6. Let g(d) be the second derivative of 1/6*d**4 + d + 3/2*d**c + 0*d**3 + 0. Differentiate g(n) wrt n.
4*n
Let p(l) = -l - 432. Let a(f) = -3*f - 858. Let k(y) = -3*a(y) + 5*p(y). Find the first derivative of k(n) wrt n.
4
Suppose -7*m + 18 = 4. What is the third derivative of 2*a**2 + 4*a**5