5*p**3 - 2*p**2 + 4*p**3 + p**3 - 4*p**x wrt p.
-24
Suppose -2*l = -4*l + 4. Find the third derivative of -4*r**2 + 3*r**2 - r**l - 4*r**5 wrt r.
-240*r**2
Find the third derivative of -14*q**2 + 6*q**5 + q**5 + 4*q**2 + 9*q**5 wrt q.
960*q**2
Let b(m) be the first derivative of -6*m - 8 + 3/2*m**2. What is the first derivative of b(u) wrt u?
3
Suppose 8*x - 2*j - 25 = 3*x, j = 0. Differentiate 1 - x*v - 3*v + 1 with respect to v.
-8
Let s(o) be the first derivative of -29*o**4/4 - 6*o**3 - 33. Find the third derivative of s(h) wrt h.
-174
Differentiate 6 + 3*k - 2 - 2 wrt k.
3
Let m be (-4)/(-6)*3/2. Let q be 1 + 0 + m - 0. Find the third derivative of -s**q + 5*s**2 - s**4 + 0*s**4 - 5*s**2 wrt s.
-24*s
Let y(g) = g**2 + 2*g - 5. Let q be y(-4). What is the third derivative of -10*p**q + 5*p**2 - 6*p**4 - 4*p**4 + 10*p**3 wrt p?
-240*p
Suppose -l = -0*l - 2. Find the third derivative of -3*a**2 - 4*a**2 - 3*a**4 + 4*a**l wrt a.
-72*a
Suppose 2*i + 5*u + 1 = -18, -4*i = -5*u - 37. Find the second derivative of k**3 + 0*k - 3*k**3 + 3*k - k**i wrt k.
-18*k
Let u(k) be the second derivative of -k**6/180 + k**4/24 - k**3/2 - 3*k. Let f(i) be the second derivative of u(i). What is the derivative of f(y) wrt y?
-4*y
Let w(k) be the third derivative of -k**6/8 + k**5/60 + 9*k**2. Find the third derivative of w(g) wrt g.
-90
Let r(l) be the first derivative of 2*l**6/15 + 2*l**4/3 + 9*l - 5. Let y(f) be the first derivative of r(f). What is the third derivative of y(g) wrt g?
96*g
Let j(u) be the first derivative of u**6 - u**3/3 - 1. Find the third derivative of j(f) wrt f.
360*f**2
Let a(k) = -10*k**2 + 16*k - 8. Let c(o) = o**4 + o**2 - o + 1. Let m(n) = -a(n) - 8*c(n). Find the third derivative of m(v) wrt v.
-192*v
Let g(o) = -8*o**3 - 2*o - 12. Let u be (1 + 1)*(-4)/8. Let q(s) = -s**3 - s - 1. Let k(p) = u*g(p) + 2*q(p). What is the derivative of k(t) wrt t?
18*t**2
Let d(c) = -20*c**3 + 36. Let h(a) = 4*a**3 - 7. Let s(p) = 4*d(p) + 22*h(p). What is the derivative of s(t) wrt t?
24*t**2
Let y(o) be the first derivative of o**9/504 + 7*o**5/60 - 2*o**2 + 9. Let k(q) be the second derivative of y(q). Find the third derivative of k(n) wrt n.
120*n**3
Let a(h) be the second derivative of h**7/14 - h**4/3 + 4*h. What is the third derivative of a(b) wrt b?
180*b**2
Suppose 0 = 3*s - 2*h - 5, 3*s + 4 = -4*h + 21. Let q(p) be the second derivative of 1/6*p**3 + s*p + 0 - 1/2*p**2. Differentiate q(m) wrt m.
1
Let j(z) be the third derivative of z**6/15 + z**4/12 - 2*z**2. What is the second derivative of j(k) wrt k?
48*k
What is the first derivative of 12 - 12*r + 4 - 6*r + 9 wrt r?
-18
Let h(r) = -10*r**4 + 6*r**3 + r + 6. Let x(f) = 11*f**4 - 7*f**3 - f - 7. Let t(q) = -7*h(q) - 6*x(q). Find the second derivative of t(u) wrt u.
48*u**2
Find the first derivative of 0 + 0 + 7 + 28*u wrt u.
28
Let l(u) be the second derivative of -u**3/2 - u**2/2 - 4*u. Differentiate l(o) with respect to o.
-3
Let j(d) be the first derivative of d**5/5 - d + 2. Let z(w) = -w**4 + 3. Let o(l) = 2*j(l) + z(l). What is the derivative of o(k) wrt k?
4*k**3
Let d(y) = -7*y - 15. Let t(r) = 13*r + 29. Let s(w) = -5*d(w) - 2*t(w). Differentiate s(m) wrt m.
9
Let t(m) = m**2 - 1. Let x(n) = -3*n**2 - 10. Let a(h) = 2*t(h) - x(h). What is the derivative of a(l) wrt l?
10*l
Suppose -6*p = -11*p - 5. Let t(x) = 5*x**2 + 4. Let i(f) = f**2 + 1. Let s(l) = p*t(l) - 4*i(l). Differentiate s(r) wrt r.
-18*r
Let b be 12/9*-6 - 0. Let u = 14 + b. Find the second derivative of 11*d**3 - u*d**3 + d - 2*d**3 wrt d.
18*d
Let d(i) = -i. Let t(b) = -3*b - 9. Let l(y) = 4*d(y) - t(y). Let r be l(6). Find the second derivative of a**4 + 3*a**3 + 2*a - 3*a**r wrt a.
12*a**2
Let i(y) = 80*y**3 - 9*y**2 + 76*y - 9. Let d(p) = 20*p**3 - 2*p**2 + 19*p - 2. Let v(c) = 9*d(c) - 2*i(c). What is the second derivative of v(r) wrt r?
120*r
Let u(w) be the third derivative of -31*w**6/120 + 5*w**5/12 - 2*w**2. Find the third derivative of u(x) wrt x.
-186
Let z(n) = n + 4. Let x be z(0). Let m = -1 + x. What is the second derivative of -i**3 + i - 3*i + 2*i**m wrt i?
6*i
Find the third derivative of 0*w**2 + 75*w**3 - 5*w**2 - 49*w**3 wrt w.
156
Find the second derivative of 18*p + 7*p**5 + p**4 - 3*p**5 - p**4 wrt p.
80*p**3
Suppose -h + 0*h + 13 = -4*q, -4*h = 2*q - 16. What is the second derivative of 0*w**5 - 3*w**5 + 3*w - w**h wrt w?
-80*w**3
Let b(z) = -z**3 + 5*z**2 - 5*z + 5. Let y be b(4). Differentiate -6*o**3 + 3 + 0*o**3 - y - 5 wrt o.
-18*o**2
Differentiate -20*m**3 - 11*m**2 - 1 + 9*m**2 + 2*m**2 with respect to m.
-60*m**2
Let l(w) be the second derivative of w**5/4 + 14*w**2 - 14*w. What is the first derivative of l(u) wrt u?
15*u**2
Let f(p) be the second derivative of -p**6/360 - p**5/40 + p**3/2 + 4*p. Let r(a) be the second derivative of f(a). What is the second derivative of r(d) wrt d?
-2
Find the second derivative of -l**2 + 3 + 6*l**2 + 7*l**2 - 19*l wrt l.
24
Let i(n) = 2*n + 5. Let l be i(-8). Let w = 15 + l. What is the first derivative of -4 + y**2 - y**w - y**2 + 0*y**2 wrt y?
-4*y**3
Let d(f) be the third derivative of f**5/30 + f**4/4 - 5*f**2. Find the second derivative of d(y) wrt y.
4
Let d(l) = -27*l**4 - 7*l - 6. Let j(c) = 9*c**4 + 2*c + 2. Let y(m) = -2*d(m) - 7*j(m). Differentiate y(t) with respect to t.
-36*t**3
Let i = -14 - -20. What is the first derivative of 0 + t**3 + 2 - 3*t**3 + i*t**3 wrt t?
12*t**2
Suppose 4*a - 2*a = 6. What is the second derivative of -j**5 + 2*j - j**a + j + j**3 wrt j?
-20*j**3
Find the third derivative of 33*k**2 + 34*k**3 - 220*k + 220*k wrt k.
204
Let q = -3 - -5. Suppose j - 2*g = 3*j + 4, 0 = j - g - 8. Find the third derivative of -4*l**3 + q*l**3 + l**2 + j*l**3 wrt l.
6
Find the third derivative of 9*a**2 - 188*a**5 + 4*a**2 + 3*a**4 + 183*a**5 - 2*a**4 wrt a.
-300*a**2 + 24*a
Let v be (-3)/7 + 90/14. What is the third derivative of -4*d**2 + 6*d**6 - d**6 - 2*d**v wrt d?
360*d**3
Let s(x) = x**3 - x**2. Let t(b) = 9*b**3 - 13*b**2. Let a(p) = 2*s(p) - t(p). What is the third derivative of a(m) wrt m?
-42
Find the third derivative of 6*i**2 + 12 - 12*i**6 - 12 wrt i.
-1440*i**3
Let c(z) = -z**4 + 5*z**3 + 4*z. Let g(d) = -d**3 - d. Let q(o) = -2*c(o) - 10*g(o). What is the second derivative of q(p) wrt p?
24*p**2
Let o(t) = t + 14. Let u be o(-10). Find the second derivative of -7*c**2 - 6*c + 3*c + 5*c**2 + u*c wrt c.
-4
Let u(n) = 5*n**2 + 6*n - 9. Let f(b) = -11*b**2 - 13*b + 19. Let a(z) = 6*f(z) + 13*u(z). Find the first derivative of a(h) wrt h.
-2*h
What is the third derivative of k**2 - 6*k**5 + 13*k**2 + 0*k**5 + 3*k**5 wrt k?
-180*k**2
Let g(z) = -41*z**5 - 3*z**4 - 36*z**2 + 3. Let t(u) = -u**5 - u**4 - u**2 + 1. Let w(v) = -g(v) + 3*t(v). What is the third derivative of w(o) wrt o?
2280*o**2
Let c = 2 + 0. Suppose -8 = -2*m - c. What is the derivative of -2 + 1 + 2*s**m + 4 wrt s?
6*s**2
Let h(k) = -35*k - 23. Let t(i) = -140*i - 91. Let c(s) = 21*h(s) - 5*t(s). Differentiate c(z) with respect to z.
-35
Let k(q) be the first derivative of -q**4/6 - q**3/6 + q**2/2 + 8. Let j(w) be the second derivative of k(w). Differentiate j(o) with respect to o.
-4
Let g(b) be the third derivative of -b**10/75600 - b**6/360 + b**5/20 + 3*b**2. Let m(c) be the third derivative of g(c). Differentiate m(n) with respect to n.
-8*n**3
Let m(f) be the first derivative of -13*f**7/7 + 4*f**3/3 + 7. What is the third derivative of m(h) wrt h?
-1560*h**3
Suppose 0 = -2*d, -x = -4*d + 2 + 10. Let o be (2/(-4))/(3/x). Find the second derivative of o*b**5 + 2*b + 2 - 2 wrt b.
40*b**3
Let r = -2 - -4. Suppose -5*a = -5*j - 25, r*a - 3*j - 3 = a. Find the second derivative of t**4 + t + 3*t - a*t wrt t.
12*t**2
What is the first derivative of -2*l + 7*l**2 + 15 + 2*l wrt l?
14*l
What is the first derivative of -4 - 635*o**2 + 646*o**2 - 3 wrt o?
22*o
Suppose -j + i + 9 = -0*i, 36 = 4*j - 3*i. Find the third derivative of -2*g**4 - j*g**2 + 16*g**6 - 7*g**6 + 2*g**4 wrt g.
1080*g**3
Let i(s) be the first derivative of -s**2/2 - 2*s - 2. Let g(k) = -1. Let j(y) = -3*g(y) + i(y). What is the derivative of j(x) wrt x?
-1
Let g be (-1)/(-2)*(8 + 2). Find the second derivative of 2*q**2 + 3*q**3 - 2*q**2 + g*q wrt q.
18*q
Find the third derivat