Let d(w) = 6*w**4 + 2*w**2 - 2*w + 32. Let c(m) = 6*m**4 + 3*m**2 - 3*m + 32. Let a(f) = 2*c(f) - 3*d(f). What is the derivative of a(v) wrt v?
-24*v**3
Let h(v) = v**2 - v + 2. Let x be h(0). Find the second derivative of x*l**5 + l + 2*l - 6*l + l**5 wrt l.
60*l**3
Let w be ((-36)/(-30))/(3/10). What is the third derivative of -12*l**2 - 2*l**5 - 5*l**5 + w*l**2 wrt l?
-420*l**2
Let q(c) = 7*c**3 - 4*c**2 - c. Let i(u) = -u + 4. Let k be i(3). Let l(g) = g**2 - g. Let o(t) = k*q(t) + 4*l(t). What is the second derivative of o(b) wrt b?
42*b
What is the derivative of -4 - 1 - 6 - 16*y**3 + 1 wrt y?
-48*y**2
Suppose m + 2*m = 5*x + 21, -2*x - 6 = 0. Suppose h - m = 2. Find the first derivative of 6 - h - 4 + 2*c**4 wrt c.
8*c**3
Let n(z) = z**4 + z**2. Suppose -w + 2 = -0*w. Let b(t) = -2*t**2 + 2*t. Let y = -1 + 2. Let l(j) = w*n(j) + y*b(j). Find the second derivative of l(u) wrt u.
24*u**2
Suppose -4*d + k - 4 = -53, 3*k + 3 = 0. What is the third derivative of -5*r**2 + 8*r**3 - 2*r**3 + d*r**2 wrt r?
36
Let p(z) be the first derivative of 0*z + 2 + 3/5*z**5 + 0*z**2 - 2/3*z**3 + 0*z**4. Find the third derivative of p(j) wrt j.
72*j
Let r be 406/(-210) - 2*-1. Let d(p) be the second derivative of 0*p**3 + p**2 + r*p**6 + 0*p**4 + 0*p**5 + 0 + 3*p. Differentiate d(m) wrt m.
8*m**3
Let f(p) = 4*p**3 + 2*p**2 + 4. Let r(l) = -l**4 + 3*l**2 - l**3 + 3*l**3 + 5*l**3 + 7. Let t(o) = -7*f(o) + 4*r(o). What is the third derivative of t(j) wrt j?
-96*j
Find the second derivative of 12*b + b - b - 6*b**5 - 10*b wrt b.
-120*b**3
Find the third derivative of 0*s**2 + 14*s**2 + 28*s**2 + 18*s**4 wrt s.
432*s
What is the second derivative of 0*z**4 - 8*z - 17*z**4 + 4*z**4 + 2*z wrt z?
-156*z**2
Let i(n) = n**2 + 5*n - 4. Let d be i(-6). Suppose 0 = l - 2 - 0. Find the first derivative of -d + l - 2 + w**4 wrt w.
4*w**3
Let m be (-1)/((2 + 0)/(-6)). What is the first derivative of 3*y**3 + 1 - 3*y**m + 6*y**4 - 3*y**4 wrt y?
12*y**3
Let o(z) be the first derivative of 13*z**5/5 - 14*z**3/3 + 19. What is the third derivative of o(d) wrt d?
312*d
Let k(o) = o**4 - 3*o**3 - 9*o**2 - 3*o. Let r(v) = 2*v**4 - 7*v**3 - 19*v**2 - 7*v. Let i(c) = 7*k(c) - 3*r(c). What is the third derivative of i(w) wrt w?
24*w
Let a be (13/(-26))/((-2)/16). Find the first derivative of -2 - 2*i**a - 1 - 1 wrt i.
-8*i**3
Let l(p) = 551 - 551 - 5*p**3 + 26*p**2 - 7*p. Let i(f) = -3*f**3 + 17*f**2 - 5*f. Let s(r) = -7*i(r) + 5*l(r). What is the third derivative of s(x) wrt x?
-24
Let h(j) be the third derivative of 2*j**2 + 1/30*j**6 + 0*j + 0 - 1/20*j**5 + 0*j**4 + 0*j**3. What is the third derivative of h(s) wrt s?
24
Let j(d) be the second derivative of 0 - 1/12*d**4 + 0*d**2 - 5*d + 0*d**3 - 1/10*d**5. What is the third derivative of j(p) wrt p?
-12
Let a(u) be the second derivative of -u**5/30 - u**4/24 - u**3/6 - 2*u. Let q(g) be the second derivative of a(g). What is the derivative of q(n) wrt n?
-4
What is the third derivative of -6*h**2 + 4*h**2 + 7*h**2 + 9*h**4 wrt h?
216*h
What is the second derivative of 3*t**2 - 5*t - 14*t - 3*t wrt t?
6
Let i(g) be the third derivative of 5*g**8/112 - 3*g**5/10 - 32*g**2. What is the third derivative of i(t) wrt t?
900*t**2
Suppose v + 8 = 3*v. Find the third derivative of -o**v + 3*o**2 - 6*o**3 + 3*o**4 + 6*o**3 wrt o.
48*o
Let n = 51 + -48. Let q(l) be the second derivative of 0 - 1/2*l**2 + 1/3*l**n + 2*l. Differentiate q(g) with respect to g.
2
Suppose -3*f - 5*o + 6 = -23, 5*o - 35 = -5*f. Suppose 15 = -x - 4*c + 5, -5*c = 15. What is the third derivative of 3*h**2 + f*h**6 - 4*h**x - h**6 wrt h?
240*h**3
Let w(x) be the third derivative of 0*x**3 - 2*x**2 + 1/24*x**4 + 1/40*x**6 + 0 + 0*x**5 + 0*x. Find the second derivative of w(g) wrt g.
18*g
Let j(b) = 2*b - 1 - 3*b + 8. Let k be j(5). Find the second derivative of 6*o**5 + 2*o - 3*o**5 - o**k + o**2 wrt o.
60*o**3
Let b(s) be the first derivative of 2*s**5 + 14*s**3/3 + 13. Find the third derivative of b(r) wrt r.
240*r
Suppose 0 = v - 2*v + 3. Suppose -3*a = -2*h - 5, -8*a + v*a = -h - 20. What is the second derivative of 3*r + 3*r**5 + 3*r**5 + r**5 - a*r**5 wrt r?
40*r**3
Let a(o) be the first derivative of 3/2*o**2 + 0*o - 1 - o**3. What is the second derivative of a(f) wrt f?
-6
What is the second derivative of 41*l**5 + 30 - 254*l**3 - l + 254*l**3 + 2*l wrt l?
820*l**3
Let l(o) be the third derivative of 5*o**8/168 - 35*o**4/24 - 23*o**2. What is the second derivative of l(z) wrt z?
200*z**3
What is the third derivative of 19*j**3 - 13*j**3 + 3*j**2 - 15*j**2 + 14*j**3 wrt j?
120
Let q = 2 - 1. Suppose j - 5 = -q. What is the derivative of 5 - 3*c**4 - 3 + 2*c**j wrt c?
-4*c**3
Let v(u) be the third derivative of -u**5/60 - u**4/8 + 17*u**3/2 + 19*u**2. Differentiate v(w) wrt w.
-2*w - 3
What is the derivative of -6*t - 18 + 4 - 2 - 7*t wrt t?
-13
Let k(j) = 7*j**4 + 2*j**3 - 4*j**2 - 2*j - 53. Let i(g) = -15*g**4 - 5*g**3 + 8*g**2 + 5*g + 107. Let t(c) = -2*i(c) - 5*k(c). Differentiate t(z) wrt z.
-20*z**3 + 8*z
Suppose -y + 6*y = 10. Find the second derivative of 6*x**2 + x**y + 5*x + 2*x**2 - 3*x wrt x.
18
Suppose p = 5*p, -5*a - 2*p = -20. Find the third derivative of 2*o**5 + o**2 + o**2 - a*o**2 wrt o.
120*o**2
Let o(x) be the third derivative of -11*x**8/168 + 41*x**5/60 - 16*x**2. Find the third derivative of o(f) wrt f.
-1320*f**2
Let k(i) = 1 - 4 - 2*i + 4 + 3*i. Let w(l) = -2*l**3 - 3*l**2 - 5*l - 5. Let b(t) = -5*k(t) - w(t). Find the third derivative of b(r) wrt r.
12
Let g(t) = -t**2. Let p(q) = 2. Let u(s) = 2. Let y(o) = -4*p(o) + 3*u(o). Let w(m) = 2*g(m) - y(m). Differentiate w(v) wrt v.
-4*v
Let x be 3 - (-1 + 2 + 2). Let f = 3 + x. What is the second derivative of -3*o**3 + f*o - o + 2*o wrt o?
-18*o
Let i(t) be the second derivative of -41*t**4/12 + 33*t**2/2 + 26*t. What is the first derivative of i(y) wrt y?
-82*y
Let i(b) = -66*b**3 + 8*b**2 - 8*b + 15. Let r(n) = 22*n**3 - 3*n**2 + 3*n - 5. Let x(h) = 3*i(h) + 8*r(h). Find the first derivative of x(o) wrt o.
-66*o**2
Find the second derivative of 17 - 8 - k + 9*k**3 + 10*k**3 wrt k.
114*k
Let o(l) = -l**2 - 9*l - 11. Let z be o(-8). Let r = z - -7. Differentiate 2 - 3 + 2 - r - 3*w**2 with respect to w.
-6*w
Let p = -4 - -7. Find the second derivative of 3*q**4 - 4 + 4 + p*q wrt q.
36*q**2
Let c(o) be the second derivative of -4*o**7/21 + 7*o**4/12 - 4*o. Find the third derivative of c(j) wrt j.
-480*j**2
Let c(v) = v**2 + 5*v - 9. Let f(h) = -8*h**3 + h**2 - h + 1. Let q be f(1). Let i be c(q). Find the second derivative of -2*g - 4*g**5 + 4*g**5 - g**i wrt g.
-20*g**3
Find the third derivative of -5*i**4 + 5*i**4 - 3*i**4 - 5*i**4 + 7*i**2 wrt i.
-192*i
Let s(z) be the second derivative of -z**5/40 + z**4/4 + z**3/3 - 6*z. Let p(x) be the second derivative of s(x). Find the first derivative of p(d) wrt d.
-3
Let h(r) = 4*r**3 + 8*r**2 + 3. Let c(y) = 3*y**3 + 7*y**2 + 2. Let m(x) = -3*c(x) + 2*h(x). What is the third derivative of m(o) wrt o?
-6
Let n = -10 + 8. Let k(g) = 7*g**3 - 5*g**2 + 5*g + 3. Let b(j) = -3*j**3 + 2*j**2 - 2*j - 2. Let l(c) = n*k(c) - 5*b(c). Differentiate l(y) wrt y.
3*y**2
Let u(o) = 2*o**3 + 3*o - 6. Let d(c) = -c - 1. Let t(j) = 6*d(j) - u(j). What is the second derivative of t(l) wrt l?
-12*l
Let q(r) be the third derivative of 13*r**7/210 + 25*r**3/6 + 16*r**2. Differentiate q(u) wrt u.
52*u**3
Let f(v) be the second derivative of -v**5/30 + v**4/4 - 5*v**3/6 + 4*v. Let b(s) be the second derivative of f(s). Differentiate b(o) wrt o.
-4
What is the third derivative of 15*o**2 - 2*o**4 + 2*o**4 - 4*o**2 - 5*o**4 wrt o?
-120*o
Let r(z) = 13*z**2 + 5*z + 73. Let n(b) = 20*b**2 + 8*b + 110. Let g(p) = -5*n(p) + 8*r(p). Differentiate g(u) wrt u.
8*u
Let j = -9 - -13. Find the second derivative of 4*z**5 + 4*z**5 - j*z**5 - z**5 + 3*z wrt z.
60*z**3
Let p(s) = 8*s**4 + 1. Let j = 6 - 11. Let z(c) = 9*c**4 + 2. Let a(y) = j*p(y) + 4*z(y). What is the derivative of a(d) wrt d?
-16*d**3
Let d(l) be the second derivative of -3*l**5/20 + 7*l**4/12 - 3*l**3 + 30*l. Find the second derivative of d(r) wrt r.
-18*r + 14
Let d(b) = 4*b - 6. Let h(f) = 12*f - 17. Suppose 5*l + 32 + 8 = 0. Suppose -5*g + 12 = -g. Let u(v) = g*h(v) + l*d(v). Differentiate u(q) wrt q.
4
Let