 first derivative of -5 + 5 + 11 - 8*a**2 wrt a.
-16*a
Let h = -17/84 - -2/7. Let u(v) be the third derivative of h*v**4 + 0*v + 0 - v**2 + 1/6*v**3. Differentiate u(s) wrt s.
2
Let o(d) = -1. Let k(s) = 39*s + 31. Let c(g) = -k(g) + 2*o(g). Find the first derivative of c(y) wrt y.
-39
Let n(d) be the third derivative of d**6/240 + d**5/60 - d**4/6 + d**2. Let j(b) be the second derivative of n(b). Differentiate j(z) with respect to z.
3
Let y(s) be the third derivative of -8*s**7/105 - 3*s**5/20 + 10*s**2. What is the third derivative of y(g) wrt g?
-384*g
Let s(p) be the second derivative of p**7/420 - p**5/120 - p**4/4 - 6*p. Let h(c) be the third derivative of s(c). What is the derivative of h(w) wrt w?
12*w
Let q(a) = a**3 + 8*a**2 + 7*a + 3. Let z be q(-7). Suppose -2*k = 1 - z. Differentiate 1 + 2*w - k + 2 wrt w.
2
Find the first derivative of -4*z**2 - 3*z**2 + 9 - 3*z**2 + z**2 wrt z.
-18*z
Find the first derivative of 24 + 793*w + 774*w - 1593*w wrt w.
-26
Suppose -4*p = 5 - 21. What is the second derivative of -5*w + w**p - 3*w**2 + 4*w**2 - w**2 wrt w?
12*w**2
Let y(b) = -b**4 + b**3. Let h(v) = 21*v**4 + 2*v**3 + 12*v**2. Let m(z) = -h(z) + 2*y(z). Find the third derivative of m(o) wrt o.
-552*o
Suppose -h + 5*a - 2*a = 9, 5*h + a - 19 = 0. What is the second derivative of 0*y - y - 2*y**3 + h*y wrt y?
-12*y
What is the derivative of -4*z**4 - 4 - 13 + 3 - 7 wrt z?
-16*z**3
Let c be 1/6 - 11/66. Suppose 2*t - 10 = 0, -11 = -4*m - t + 2*t. Find the third derivative of c*h**4 - 14*h**2 + 11*h**2 + 2*h**m wrt h.
48*h
Let j(b) = 2*b**3 + 2*b**2 - b - 36. Let c(z) = 8*z**3 + 9*z**2 - 5*z - 145. Let h(d) = -2*c(d) + 9*j(d). Differentiate h(p) wrt p.
6*p**2 + 1
Suppose 0 = 5*c - 4*x + 13 - 1, 0 = 3*c - 5*x + 15. Find the second derivative of -q**5 + c*q**5 + 2*q + 3*q**5 wrt q.
40*q**3
Let a = 1 + 1. Let i(k) = 3*k - 1. Let b be i(a). Find the second derivative of -3*v + 0*v**5 + 2*v**b + 5*v**4 - 5*v**4 wrt v.
40*v**3
Suppose 20*r - 8 = 18*r. Let u(x) be the second derivative of -1/4*x**r + 0 + 0*x**3 + 2*x**2 + 4*x. Differentiate u(n) with respect to n.
-6*n
Let o(v) be the third derivative of v**7/420 + v**4/24 - v**3/3 - 3*v**2. Let b(t) be the first derivative of o(t). Differentiate b(h) wrt h.
6*h**2
Let d = 13 + -9. Let p(n) be the second derivative of 0*n**2 + 0 - 1/6*n**d - 1/6*n**3 + n. Find the second derivative of p(g) wrt g.
-4
What is the second derivative of h**5 - 3*h**5 - 4*h - h - 2 - 4*h**5 wrt h?
-120*h**3
Let t be 1 + (-8)/(-4) - 1. What is the derivative of 0 + 4 + 4*p**2 + p**t - 2 wrt p?
10*p
What is the third derivative of 14*h**6 + 2*h**2 + h**5 + 4*h**5 - 5*h**5 wrt h?
1680*h**3
Let q(w) be the third derivative of w**7/15 - w**5/60 - 21*w**2. Find the third derivative of q(s) wrt s.
336*s
Let x(j) be the second derivative of j**5/15 - j**3/2 + j**2/2 - j. Let v(c) be the first derivative of x(c). Differentiate v(y) wrt y.
8*y
Let f(a) be the second derivative of -a**8/168 - 5*a**4/24 - a**2 + 3*a. Let q(k) be the first derivative of f(k). What is the second derivative of q(p) wrt p?
-40*p**3
Let a = 6 - 7. Let f(u) = u**2 - 1. Let j(s) = 9*s**2 - 8. Let w(t) = a*j(t) + 3*f(t). Differentiate w(p) with respect to p.
-12*p
Let y(g) be the third derivative of 0*g + 0*g**4 + 0*g**6 + 5*g**2 - g**3 - 1/35*g**7 + 0 + 0*g**5. Differentiate y(b) with respect to b.
-24*b**3
Let i(a) be the first derivative of -a**6/15 + 5*a**4/12 - 7*a + 6. Let c(g) be the first derivative of i(g). Find the third derivative of c(p) wrt p.
-48*p
Find the second derivative of 8*i - 23*i + 719*i**2 - 9*i - 704*i**2 wrt i.
30
Let h(w) be the first derivative of w**8/112 + w**4/24 + w**2 + 2. Let i(r) be the second derivative of h(r). What is the second derivative of i(c) wrt c?
60*c**3
Let c(i) be the second derivative of -i**4/4 + 23*i**2/2 - 11*i. What is the derivative of c(r) wrt r?
-6*r
Find the third derivative of -14*l**6 + 10*l**2 + 0*l**6 + 12*l**2 - 6*l**2 wrt l.
-1680*l**3
Find the third derivative of 210*g - 210*g - 14*g**2 + 31*g**5 wrt g.
1860*g**2
Let f(h) be the first derivative of -h**10/2520 + h**6/40 - h**3/3 + 1. Let a(t) be the third derivative of f(t). Find the third derivative of a(c) wrt c.
-240*c**3
Let f(v) = 2*v**3 - 3*v**3 + 0*v - v + v**2 + 1. Let c(d) = -2*d**3 + 4*d**2 - d + 1. Let l(g) = 2*c(g) - 2*f(g). Find the third derivative of l(m) wrt m.
-12
Let j(o) be the second derivative of 2*o**6/15 - 5*o**2 + 7*o. Find the first derivative of j(k) wrt k.
16*k**3
Let t(g) be the first derivative of 4*g**6/3 + 11*g**2/2 + 7. What is the second derivative of t(r) wrt r?
160*r**3
Let j(d) = -54*d**4 - 3*d**3 - 11. Let k(w) = -162*w**4 - 8*w**3 - 33. Let p(b) = -8*j(b) + 3*k(b). What is the derivative of p(r) wrt r?
-216*r**3
Let m(w) = 18*w**5 + 2*w**4 + 34*w + 2. Let b(h) = -h**4 - 1. Let g(z) = 2*b(z) + m(z). Find the second derivative of g(r) wrt r.
360*r**3
What is the third derivative of -7*t**6 - 39*t**2 - t**6 + 40*t**2 wrt t?
-960*t**3
Let b(s) be the second derivative of s**5/5 - 2*s**2 + 3*s. What is the derivative of b(y) wrt y?
12*y**2
Let l(o) be the third derivative of -7*o**5/60 + o**4/12 + 5*o**2. Find the second derivative of l(i) wrt i.
-14
Let u(d) = d**2 + 5*d - 10. Let v be u(-8). Suppose v = -3*x - 5*f, 28 = 7*x - 3*x - 5*f. Find the third derivative of -x*o**3 + 4*o**3 - o**2 + 2*o**2 wrt o.
12
Suppose 0 = 3*c - c - 4*f - 12, -5*c = 5*f + 15. Suppose -2*i + c*i = -8. Find the third derivative of y**5 - 6*y**i + 4*y**4 + 2*y**4 + 3*y**2 wrt y.
60*y**2
Let k(n) = -7 + 13 - n - 11. Suppose 0 = -q + 1, 2*j - 5*q + 27 = 4*j. Let s(o) = 2. Let d(w) = j*s(w) + 4*k(w). Find the first derivative of d(z) wrt z.
-4
Let s(j) be the second derivative of j**7/630 + j**6/240 + j**4/12 - 4*j. Let n(p) be the third derivative of s(p). What is the second derivative of n(h) wrt h?
8
Let l be -7 + (-3)/(6/(-2)). Let f(p) = -p - 3. Let z be f(l). What is the derivative of -2 - z - a**2 + 3 wrt a?
-2*a
Let y(a) be the second derivative of 3/4*a**4 - 6*a + 0 + 0*a**3 + 0*a**2 + 9/20*a**5. What is the third derivative of y(o) wrt o?
54
Let c(t) be the first derivative of -5/4*t**4 + 0*t**2 + 0*t + 1/3*t**3 + 4. Find the third derivative of c(a) wrt a.
-30
Suppose 4*r = -2*r + 54. What is the derivative of -r - 1 + 5 - 5*o**4 wrt o?
-20*o**3
Let j = 2 - -1. What is the derivative of 5*m**3 + 4*m + 7 - 4*m - 2*m**j wrt m?
9*m**2
Suppose 0 = 4*s - 12 - 4. Differentiate -1 + 2*r**2 + r**3 - s*r**2 + 2*r**2 with respect to r.
3*r**2
Suppose 5*y + 0*y = 25, 0 = 4*v + 4*y - 36. Find the second derivative of -p - p + p**v + 4*p wrt p.
12*p**2
Suppose 3*v - 20 = -2*v. What is the second derivative of -a**v + 3*a - 4*a + a + 2*a wrt a?
-12*a**2
Let i(t) be the first derivative of -t**9/504 - t**5/15 + 3*t**2/2 - 1. Let x(z) be the second derivative of i(z). What is the third derivative of x(l) wrt l?
-120*l**3
Let f(w) = 7*w + 3. Let c(u) = -7*u. Let s(x) = 7*x - 1. Let h(b) = -3*c(b) - 2*s(b). Let n(g) = -4*f(g) + 5*h(g). What is the first derivative of n(i) wrt i?
7
Let y(f) be the first derivative of 0*f - 1/4*f**4 + 0*f**2 - 1 - f**3. What is the third derivative of y(b) wrt b?
-6
Let i = -2 + 3. Differentiate 0 + 1 + i + 2*f**3 wrt f.
6*f**2
Let d(c) = -c**2 - 4. Let g(n) = -1. Let h(k) = 15. Let u(w) = -10*g(w) - h(w). Let p(b) = -6*d(b) + 5*u(b). Differentiate p(m) with respect to m.
12*m
Let z(j) be the third derivative of j**5/10 - 4*j**3/3 + 14*j**2. Differentiate z(r) with respect to r.
12*r
Let y = 11 - 8. Differentiate -2*j**3 + y*j**3 + 1 + 3*j**3 + 0 with respect to j.
12*j**2
Let v be (-6)/9*(-4 + 1). Let g be v*1*(-5 + 6). Find the second derivative of f**g + 3*f - 2*f**2 + f**2 + f**3 wrt f.
6*f
Let y = 8 - 12. Let a be y/(-6)*(3 + 0). What is the second derivative of b**2 - b**2 + b**a - b wrt b?
2
What is the third derivative of 86*a**2 - 8*a**5 - 94*a**2 + a**5 wrt a?
-420*a**2
Differentiate -5*q**4 - 8 - 2*q**4 + 9*q**4 with respect to q.
8*q**3
Let r(k) be the second derivative of 0*k**3 + 0 - 1/6*k**4 - k**2 - 3*k. Differentiate r(w) with respect to w.
-4*w
Find the first derivative of 49 + 43*q**3 - 8*q**3 + 5 - 19 wrt q.
105*q**2
Let u = 4 + -2. Suppose 2*f - 8 = -u*f. What is the second derivativ