a**2 + 3. Let f(p) = p**4 + p**3 - p**2 - 1. Let q(k) = -6*f(k) - n(k). Find the third derivative of q(u) wrt u.
-984*u
Let t(h) be the third derivative of -2*h**7/105 + 23*h**5/60 + 11*h**2. Find the third derivative of t(g) wrt g.
-96*g
Let u(a) be the first derivative of 0*a**2 + 0*a**6 + 4 - 2/7*a**7 - 1/3*a**3 + 0*a**4 + 0*a + 0*a**5. What is the third derivative of u(q) wrt q?
-240*q**3
Let q = -23 + 24. Find the first derivative of -2*t**4 - 3 + 4 + q + 5 wrt t.
-8*t**3
Let i(x) be the second derivative of -3*x**5/20 + 5*x**4/12 + 3*x. Find the third derivative of i(y) wrt y.
-18
Let j(r) be the third derivative of -r**6/20 + r**3 - 5*r**2. Find the first derivative of j(d) wrt d.
-18*d**2
Let t = 6/37 + 19/111. Let u(m) be the second derivative of 0 + 0*m**2 + t*m**3 - m + 1/12*m**4. What is the second derivative of u(j) wrt j?
2
Let l(a) = 2*a - 8. Let c be l(7). Let h be c + 3 + -6 + -3. What is the second derivative of h*t + 4*t - 4*t**3 + 8*t**3 wrt t?
24*t
Let u be (1/3)/(2/24). What is the second derivative of 11*a - 7*a - 2*a**u - 3*a wrt a?
-24*a**2
Let r be (1*0/1)/2. Differentiate r*p**2 + 2 + 3*p**2 - 5*p**2 with respect to p.
-4*p
Let w(b) be the third derivative of 5*b**2 + 1/336*b**8 + 0*b**3 + 0*b**7 + 0*b + 0*b**5 + 0 + 0*b**6 - 1/6*b**4. Find the second derivative of w(x) wrt x.
20*x**3
Suppose -2*v + 4*q = -6, -v + 3 = 5*q - 0. Suppose -w + v*c = -14, -6 = -5*w - 2*c + c. Differentiate 4*t + t**4 - 4*t + w with respect to t.
4*t**3
What is the third derivative of 13*p**2 + 3*p**3 + 3*p**3 - 5*p**3 wrt p?
6
Let k(i) be the first derivative of 2*i**3 - 2*i**2 - 9. What is the second derivative of k(u) wrt u?
12
Let x be (-4)/(-6) + (-7)/(-3). Suppose -3*w + 15 = x. What is the second derivative of 5*b - 2*b**5 + 3*b**5 - w*b wrt b?
20*b**3
Let d(a) = 6*a**3 + 7*a - 2*a**2 - 2*a - 3*a - 1. Let t be d(1). What is the third derivative of -x**2 + 3*x**2 + 7*x**4 - t*x**4 wrt x?
48*x
What is the second derivative of 55*a**2 - 3*a**4 - 2*a**4 - 9*a - 55*a**2 wrt a?
-60*a**2
Let a(b) = 18*b**4 - 8*b**3 - 20. Let k(t) = -6*t**4 + 3*t**3 + 7. Let m(p) = 3*a(p) + 8*k(p). Differentiate m(y) wrt y.
24*y**3
Suppose 4*v - 14 = 2*v. Suppose 3*h - 2*h = 7. What is the derivative of -h*s + v*s + 4 + 4*s**2 wrt s?
8*s
Differentiate 860*o**2 - 860*o**2 - 3 + 8*o**3 wrt o.
24*o**2
Let s(j) = -2*j - 1. Let c be s(-2). Find the second derivative of a**4 - c*a - 2*a + a + 5*a wrt a.
12*a**2
Suppose 0 = 4*m - 12. What is the first derivative of 0 - m*j**4 - 1 - 3*j**3 + 3*j**3 wrt j?
-12*j**3
Let d(j) = 2*j - 26. Let a be d(13). Let v(u) be the third derivative of 2*u**2 + 0*u**4 + 0*u + 1/30*u**5 - 1/6*u**3 + a. Differentiate v(c) with respect to c.
4*c
Let x(v) = -v**3 + 6*v**2 - 4*v - 1. Let q = -8 - -13. Let t be x(q). What is the second derivative of -3*o + 2*o - 3*o**5 + t*o wrt o?
-60*o**3
Find the second derivative of 50*d**3 - 46*d**3 + 3*d - d wrt d.
24*d
Suppose -3*y = o - 6, -2*y = -y - 1. Let x = -5 + 7. What is the third derivative of s**2 - 2*s**x - 2*s**3 + s**o wrt s?
-6
What is the third derivative of 2*o**3 + 6*o**2 - 2*o**3 - 3*o**3 + 0*o**2 wrt o?
-18
Let b(y) be the first derivative of -y**3 - 3*y**2 + 5. What is the second derivative of b(p) wrt p?
-6
Let d = -3 + 3. Let k(v) be the third derivative of 0 + d*v - 4*v**2 - 1/8*v**4 + 2/3*v**3. Differentiate k(x) wrt x.
-3
Differentiate 0 + 40 - 9*s**2 + 8 wrt s.
-18*s
What is the derivative of -4 - 3*r**2 + 8 - 11 wrt r?
-6*r
Let t(n) = -2*n - 1. Let r be t(-1). Suppose r = -3*w + 10. Find the first derivative of w*b**2 - 1 - 4*b**2 - 2*b**2 wrt b.
-6*b
Let m(y) be the first derivative of -9 + 0*y**2 - 8*y + 0*y**3 + 5/4*y**4. What is the first derivative of m(d) wrt d?
15*d**2
Let k = -3 - -7. Let y be (18/24)/(6/16). What is the third derivative of g**y + g**4 + 0*g**2 - k*g**2 wrt g?
24*g
Suppose 0 = 3*b - 2*b - 6. What is the second derivative of z + b*z**2 + 5*z**2 - 12*z**2 wrt z?
-2
Let s(m) = -1 + m**2 + 5*m - m**3 - 5*m - m. Let r(p) = 4*p**3 - 3*p**2 + 3*p + 6. Let d(k) = -r(k) - 3*s(k). What is the derivative of d(l) wrt l?
-3*l**2
Let y(o) be the third derivative of o**6/24 + o**4/8 + 6*o**2. Find the second derivative of y(g) wrt g.
30*g
Differentiate -3 + 1 + 25*n - 4 + 2*n with respect to n.
27
Find the first derivative of -3*g**2 + 120*g**3 - 40 - g**2 - 117*g**3 wrt g.
9*g**2 - 8*g
Let r(z) = z**2 + 2*z - 2. Let c be r(-3). Let l be 0 - (2/(-2) - c). Find the second derivative of 3 - f + l*f**2 - 3 wrt f.
4
Let v(o) be the first derivative of 5*o**3/6 - 4*o**2 + 3*o - 9. Let i(x) be the first derivative of v(x). What is the derivative of i(m) wrt m?
5
Let q(d) be the first derivative of d**7/35 + 7*d**5/60 + d**2 + 3. Let o(p) be the second derivative of q(p). Find the third derivative of o(f) wrt f.
144*f
Find the third derivative of 45*j**5 - 16*j**5 - 7*j**5 + 6*j**2 wrt j.
1320*j**2
Let i(t) be the first derivative of -t**2 + 5/6*t**6 + 0*t**4 + 0*t**3 - 2 + 0*t**5 + 0*t. What is the second derivative of i(b) wrt b?
100*b**3
Let m(p) be the first derivative of -7*p**6/3 - p**3/3 - 3*p**2/2 - 19. Find the third derivative of m(i) wrt i.
-840*i**2
Let j(s) be the third derivative of s**2 - 1/30*s**5 + 0 + 0*s - 1/24*s**4 + 0*s**3. Find the second derivative of j(n) wrt n.
-4
Suppose 2*n = 62 - 8. What is the first derivative of 3 + n*k - 27*k + 3*k**2 wrt k?
6*k
Suppose -2 + 0 = -f. Let i be ((-12)/9)/(1/(-3)). What is the derivative of 2*p**f - p**2 - p**2 - i - p**2 wrt p?
-2*p
Let i(z) be the third derivative of z**4/24 - 7*z**3/6 + 2*z**2. Let h be i(7). What is the first derivative of u**2 + u**2 + 2 + h wrt u?
4*u
Let p(l) = -4*l**5 + 5*l**3 + 5*l**2 - 6*l. Let u(x) = 5*x**5 - 6*x**3 - 6*x**2 + 5*x. Let w(f) = -6*p(f) - 5*u(f). What is the second derivative of w(k) wrt k?
-20*k**3
What is the third derivative of -12*u**5 + 7*u**2 - 64*u**2 + 8*u**2 + 3*u**3 - 13*u**2 wrt u?
-720*u**2 + 18
Let s(n) be the third derivative of 5*n**9/504 + n**5/15 - 7*n**2. What is the third derivative of s(o) wrt o?
600*o**3
Let u(n) = -4*n**4 + 6*n**3. Let g(i) = -8*i**4 + 11*i**3 + 1. Let x(q) = 6*g(q) - 11*u(q). What is the first derivative of x(a) wrt a?
-16*a**3
Let p(z) be the third derivative of 0*z**3 + 0 + 0*z**5 + 0*z - 1/8*z**4 + 1/60*z**6 + 3*z**2. What is the second derivative of p(i) wrt i?
12*i
Let y = -7 + 7. Suppose y*r - r + 4 = 0. What is the second derivative of -9*t**4 + 8*t**r + t + 2*t wrt t?
-12*t**2
Suppose v = 2*v - 5. Let k(m) = -m - 4. Let t be k(-6). What is the third derivative of -5*j**2 + 2*j**3 + v*j**t - j**2 wrt j?
12
Let u(n) be the first derivative of -9*n**5/5 - 2*n**3/3 - 34*n + 7. What is the first derivative of u(j) wrt j?
-36*j**3 - 4*j
Let n(x) be the second derivative of 7*x**5/5 + 13*x**4/3 + 13*x + 3. Find the third derivative of n(w) wrt w.
168
Let r(i) = -i**3 + 1. Let z = 1 - 2. Let l be r(z). Differentiate 2*j**3 - j**2 + j**l + 1 with respect to j.
6*j**2
Let l(k) be the third derivative of k**8/420 - k**4/24 + k**3/6 - 2*k**2. Let q(r) be the first derivative of l(r). Find the first derivative of q(v) wrt v.
16*v**3
Find the second derivative of -20*v + 9*v - 3*v**3 + 9*v wrt v.
-18*v
Find the third derivative of -2 - 37*x**4 - 66*x**2 - 2 + 4 wrt x.
-888*x
Let t(b) = 2*b - 3. Let j(u) = -u. Let f(d) = -6*d + 5. Let x(g) = -f(g) + 2*j(g). Let p(r) = 11*t(r) - 6*x(r). What is the first derivative of p(n) wrt n?
-2
Let z(x) be the third derivative of x**4/4 - x**3/2 + 7*x**2. Differentiate z(o) wrt o.
6
Suppose -2*c + 7*c = 10. Suppose d = 5*u - 22, c*d + d + 2 = -u. What is the derivative of 3*a**2 + 1 + 3*a**2 - u*a**2 wrt a?
4*a
Find the third derivative of -81*a**4 + 2*a**2 - 7*a**5 + 81*a**4 wrt a.
-420*a**2
Find the second derivative of 45*n - 2*n**4 + 13*n**4 - 48*n wrt n.
132*n**2
Let u(t) be the second derivative of -t**3/6 - 10*t**2 - 4*t. Differentiate u(w) wrt w.
-1
Let u(h) = 6*h**3 + 3*h**2 - 9*h. Let s(p) = -p**3 - p**2 + p. Let v(z) = -3*s(z) - u(z). What is the second derivative of v(n) wrt n?
-18*n
Let c(z) = -z**2 - 8*z - 10. Let k be c(-6). Find the second derivative of 5*h - 3*h**k - h**2 + 8*h**2 - 12*h wrt h.
8
What is the second derivative of -5*g**4 - 2*g + g**4 + g**4 wrt g?
-36*g**2
Let