*l**3 - 8*l**2 + 4*l - 21. Let i(o) = -23*o**3 - 18*o**2 + 9*o - 42. Let k(c) = -9*d(c) + 4*i(c). Find the first derivative of k(h) wrt h.
21*h**2
Let g(z) be the third derivative of z**7/105 + z**4/2 - 11*z**2. What is the second derivative of g(a) wrt a?
24*a**2
Suppose i + 3*i = -52. Let f(u) = 12*u**2 - 12*u - 13. Let p(q) = 6*q**2 - 6*q - 6. Let l(m) = i*p(m) + 6*f(m). What is the second derivative of l(v) wrt v?
-12
Let r = 10 - 6. Find the second derivative of r*y + 2*y**4 + y**4 + 3*y wrt y.
36*y**2
Let j(b) be the first derivative of -b**5/5 + 4*b**3 - 21. What is the third derivative of j(y) wrt y?
-24*y
Let u(c) = 9*c**4 + 105*c**2 + 33. Let v(p) = p**4 + 13*p**2 + 4. Let i(g) = 4*u(g) - 33*v(g). Find the third derivative of i(f) wrt f.
72*f
Let h(q) be the first derivative of -5*q**4/2 + 9*q**2/2 + 9. Find the second derivative of h(v) wrt v.
-60*v
Let m(y) be the third derivative of -y**8/16 - 25*y**4/24 + 39*y**2. What is the second derivative of m(a) wrt a?
-420*a**3
Let r(z) = 31*z - 1. Let i be r(2). Find the third derivative of 61 - 3*a**4 + 6*a**2 - i wrt a.
-72*a
Find the third derivative of 2*k**2 + 15*k**2 + 6*k**3 + 11*k**3 wrt k.
102
Differentiate -4 + 4*y**2 - 9*y**2 - 17*y**2 with respect to y.
-44*y
Let r(v) = -77*v**4 + 46*v**4 + 1 + 24*v**2 - 1. Let m(s) = 6*s**4 - 5*s**2. Let z(n) = -11*m(n) - 2*r(n). What is the third derivative of z(b) wrt b?
-96*b
Let f(z) = -z + 2. Let n be f(2). What is the first derivative of 4*q**3 - 4 + 1 + n wrt q?
12*q**2
Let v be (-4)/(-14) + (-132)/(-28). Suppose 3*f - 15 = -4*g, v*f - 20 = f + g. What is the second derivative of -x**5 - 5 + f + x wrt x?
-20*x**3
Suppose 3*r + r - 7 = 3*p, -5*r + 4 = p. Let i(h) = 3*h**3 + 6*h**2 - 4. Let y(x) = x**2. Let k(g) = p*i(g) + 6*y(g). Differentiate k(b) with respect to b.
-9*b**2
Let k(z) = -z**3 + 6*z**2 + 9*z - 9. Let r be k(7). Let s(b) = 4*b - 1. Let y be s(1). What is the third derivative of r*d**2 - 4*d**3 - 4*d**2 + y*d**3 wrt d?
-6
Let n(i) be the second derivative of 5*i**3/2 + 13*i**2/2 + 2*i. Let b(g) = -22*g - 19. Let y(l) = -5*b(l) - 7*n(l). Find the first derivative of y(a) wrt a.
5
Suppose -2*z - 16 = -5*g, -z - 5*g + 22 = -0. What is the third derivative of 2*j**2 - j**z - 4*j**6 + 2*j**2 wrt j?
-480*j**3
Suppose -3*j - j = -100. Find the third derivative of -2*w**2 + w**4 - 25*w + j*w wrt w.
24*w
Let d(j) be the first derivative of 21*j**4/4 + 4*j**3 - 26. Find the third derivative of d(t) wrt t.
126
Let c(t) = 8*t**3 - 4*t**2 - 6. Let n(z) = z**2 + 1. Let l(h) = -c(h) - 6*n(h). What is the third derivative of l(m) wrt m?
-48
Let w(s) = -9*s + 1. Let c be w(-1). Suppose 0 = -5*p + c + 5. What is the third derivative of 2*z**2 - z**p - z**3 + 2*z**3 + 2*z**5 wrt z?
120*z**2
Let y = 4 + 4. What is the third derivative of 8*n - 3*n**6 - y*n - n**2 wrt n?
-360*n**3
Suppose 29 = 3*b - 5*l, 5*b + 3*l - 6*l = 27. Find the third derivative of 3*d**2 - d**5 - 5*d**2 + 0*d**5 - b*d**5 wrt d.
-240*d**2
Find the second derivative of 72*g + 6*g**3 - 6*g**5 - 139*g + 65*g wrt g.
-120*g**3 + 36*g
Find the first derivative of -38*s - 20*s - 38 + 28*s - 24*s wrt s.
-54
Let b(j) = j. Let y be b(5). Differentiate -11*w**2 + 14*w**2 - 9*w**2 - y with respect to w.
-12*w
Let u(s) be the first derivative of s**6/6 + 4*s**3/3 - 6. Find the third derivative of u(p) wrt p.
60*p**2
Let s = 6 - 4. Let p(k) be the first derivative of -2*k + 3 + k + s*k**2 - k - 3*k**2. Differentiate p(m) wrt m.
-2
Let i(l) = l**3 + 2*l**2 - 5*l + 3. Let q be i(-4). Let r be (3 + q/3)/(-1). Find the second derivative of -5*a**3 + a + r*a**3 + a**3 wrt a.
-24*a
Suppose 5*l - 5*a - 1 = -2*a, 7 = 5*l - a. What is the third derivative of -4*d**2 + 20*d**5 + 2*d**3 - l*d**3 - 19*d**5 wrt d?
60*d**2
Suppose -4*r + 2*r + 6 = 0. Let z(i) = i**3 + 2*i**2 - 2*i. Let x be z(-2). Find the second derivative of -5*w + w**4 - 2*w**x + r*w wrt w.
-12*w**2
What is the second derivative of 6*d**2 - 7*d - 6*d**2 + d**4 + 0*d**4 wrt d?
12*d**2
Let i = 6 - 4. Suppose -i*t - 12 = 4*f - 32, -2*t - 4 = 0. Find the third derivative of -2*b**6 - 4*b**2 - 3*b**f + 3*b**2 + b**6 wrt b.
-480*b**3
Find the second derivative of -13*v**2 - 44*v**2 - 18*v - 12*v wrt v.
-114
Suppose -6 = -0*r - 3*r. What is the second derivative of -2*c - c**4 - 2*c + r*c**4 wrt c?
12*c**2
Let t(l) be the first derivative of 3*l + 0*l**3 - 2 - 1/4*l**4 + 3/2*l**2. Let z(g) be the first derivative of t(g). Differentiate z(i) wrt i.
-6*i
Let f(w) = -3*w**4 - 2*w**3 - 2*w - 4. Let g(d) = 12*d**4 + 9*d**3 + 9*d + 15. Let n(o) = 9*f(o) + 2*g(o). Differentiate n(l) wrt l.
-12*l**3
Suppose 0 = q - 5*q - 20. Let o = -5 - q. What is the derivative of 4*m**4 + o - 2 + 5 wrt m?
16*m**3
Let u(q) be the third derivative of -q**4/4 - q**3/3 - 2*q**2. What is the derivative of u(r) wrt r?
-6
Let v(i) be the third derivative of 2*i**6/15 - 2*i**5/15 - 8*i**2. Find the third derivative of v(a) wrt a.
96
Let b(h) be the first derivative of -h**7/7 + h**3/3 + 6. Find the third derivative of b(v) wrt v.
-120*v**3
Suppose 0 = -b + j + 5, 0 = -j - 0 - 4. Find the first derivative of b - 2*p**4 - p**2 + p**2 wrt p.
-8*p**3
What is the third derivative of 14*i**2 - 7*i**6 + 3*i**6 - 2*i**2 wrt i?
-480*i**3
Let m(p) be the second derivative of 3*p**5/20 + 5*p**2/2 + 4*p. Find the first derivative of m(c) wrt c.
9*c**2
Find the second derivative of -6*i**5 - 2*i**5 - 7*i**5 + 10*i - 18*i wrt i.
-300*i**3
What is the third derivative of 3*g**3 + 8*g**2 + g**3 - 14*g**3 + 3*g**3 wrt g?
-42
What is the second derivative of 4*l**5 + 2*l + 3*l + l**5 + l wrt l?
100*l**3
Suppose -2*z = -2*a, -3*a - 3*z = -0*a. Let t = 2 + a. What is the first derivative of -4*k**t + 2 - 1 + 2*k**2 wrt k?
-4*k
Let i(u) be the second derivative of u**9/7560 + 7*u**5/120 - u**4/4 - 7*u. Let n(j) be the third derivative of i(j). Differentiate n(p) wrt p.
8*p**3
Let c = -25 - -33. What is the derivative of c - n**4 - n**4 - 8*n**4 wrt n?
-40*n**3
Let f = 80 + -479/6. Let w(q) be the third derivative of 0*q**4 + 1/30*q**5 + 0*q + 2*q**2 - f*q**3 + 0. Differentiate w(d) with respect to d.
4*d
What is the second derivative of 2*k - 13*k - 9*k - 14*k**2 - 5*k**2 wrt k?
-38
Find the second derivative of 2*v**2 + 11*v - 3*v**2 - 6*v**2 wrt v.
-14
What is the first derivative of 4*j**4 - 3*j**4 - 12 + 3 wrt j?
4*j**3
Let c(x) be the first derivative of 52*x**3/3 + 5*x**2 - 53. Find the second derivative of c(f) wrt f.
104
Let c(o) = o - 1. Let n(v) be the second derivative of v**4/12 - v**3/2 - v. Suppose -3*i + 0*i + 3 = 0. Let d(m) = i*n(m) + 3*c(m). Differentiate d(a) wrt a.
2*a
Let k(b) = 4*b**2 + 39*b + 31. Let c(m) = 3*m**2 + 39*m + 31. Let o(q) = -3*c(q) + 2*k(q). What is the derivative of o(a) wrt a?
-2*a - 39
Find the third derivative of -18*a**2 - 2*a**2 + 4*a**4 + 9*a**2 + 12*a**4 wrt a.
384*a
Let v(c) be the first derivative of 0*c**2 - 5 + 0*c + 4/3*c**3 - 1/5*c**5 + 0*c**4. What is the third derivative of v(w) wrt w?
-24*w
Suppose -4 = s - 2*s. Find the first derivative of 3 + 19*l**4 + 21*l**4 - 31*l**s wrt l.
36*l**3
Let m(c) be the third derivative of 13*c**6/120 + 31*c**3/6 + 10*c**2. What is the first derivative of m(d) wrt d?
39*d**2
Let o(g) = -2*g**3 + 18*g**2 + 9*g - 1. Let a(t) = -t**3 + 19*t**2 + 9*t. Let j(p) = 3*a(p) - 2*o(p). What is the second derivative of j(i) wrt i?
6*i + 42
Let r be (-6)/4*16/(-6). Let a = 20 + -16. What is the second derivative of -r*y**a - y + 0*y + 7*y**4 wrt y?
36*y**2
Suppose -13 = -5*i - 3. Let q = 7 + -1. Find the third derivative of -i*z**2 + q - z**3 - 6 wrt z.
-6
Let z(p) be the third derivative of -1/12*p**4 - 3*p**2 - 1/6*p**3 + 0 + 0*p. What is the derivative of z(k) wrt k?
-2
Let r(x) be the third derivative of x**6/20 + 4*x**3/3 - 9*x**2. Find the first derivative of r(n) wrt n.
18*n**2
What is the second derivative of o + 0*o**3 + 10*o**3 - 21*o - 5*o wrt o?
60*o
Let l be (-3)/(-3)*10*1. Find the third derivative of 10*n - 3*n**4 - l*n + n**2 wrt n.
-72*n
Suppose -4*j + 12 - 4 = 0. What is the derivative of -7*b**3 - 5*b**j + 4 - b**2 + 6*b**2 wrt b?
-21*b**2
Let l(d) be the third derivative of 19*d**6/60 + 9*d**4/4 + 33*d**2. Find the second derivative of l(v) wrt v.
228*v
Let q(g) = 2*g - 20. Let a be q(11).