espect to i.
1
Let x(r) be the second derivative of 0*r**3 - 3*r + 0 - 3/2*r**2 + 1/6*r**4. What is the derivative of x(q) wrt q?
4*q
Let q(n) = -n**4 - n**2 - n. Let d(p) = -7*p**4 + 11*p**2 - p + 5. Let c(x) = -d(x) + 5*q(x). What is the second derivative of c(w) wrt w?
24*w**2 - 32
What is the third derivative of -f**2 + 9*f**4 - 9*f**4 + 7*f**5 wrt f?
420*f**2
Suppose b - 4*b + 9 = 0. What is the second derivative of -3*c - b*c**4 - 9 + 9 wrt c?
-36*c**2
Suppose 4 = -v + 2*v. Let u(n) = n**2 + 9*n + 4. Let w be u(-9). Find the first derivative of -4 + w*p**2 + 1 - v*p**2 + p**4 wrt p.
4*p**3
Suppose 4*t + 5*c = 3*t - 8, -2*t + 2 = c. Suppose t*l - 4 = -r + 6, -4*l = 5*r - 32. What is the second derivative of 3*a**l - 4*a**3 + 3*a**3 + 2*a wrt a?
12*a
What is the first derivative of 30*c**2 - 19 - 7 - 4 - 9*c**2 wrt c?
42*c
Let g(w) be the third derivative of 3*w**4/8 + w**3 + 7*w**2. Find the first derivative of g(k) wrt k.
9
Let s(v) be the third derivative of -1/168*v**8 + 0*v**5 + 0*v**3 + 0 - 2*v**2 + 0*v**6 + 0*v**7 + 0*v + 1/6*v**4. What is the second derivative of s(p) wrt p?
-40*p**3
Differentiate 10*q - 4*q**2 - 10*q - 19 wrt q.
-8*q
Let k(a) = 7*a + 5. Let x(p) = -7*p - 5. Let j(w) = 6*k(w) + 5*x(w). What is the first derivative of j(y) wrt y?
7
Suppose 3*t = 4*v - 14, 2*t - 5*v - 4 = -25. Let q(x) be the first derivative of 0*x + 3/4*x**4 - 2 + 0*x**t + x**3. Find the third derivative of q(i) wrt i.
18
Suppose -34 = 3*q - 52. Let n(k) be the first derivative of 1 + 1/2*k**q + 0*k**5 + 0*k**4 + 0*k - 1/2*k**2 + 0*k**3. Find the second derivative of n(f) wrt f.
60*f**3
Find the third derivative of 40*f**2 - f**6 - 23*f**2 - 16*f**2 wrt f.
-120*f**3
Find the second derivative of -11*v**4 + 4*v + 75 - 75 wrt v.
-132*v**2
Let t be (2/5)/(9/45). What is the second derivative of -3*q + 4*q - 3*q + 2*q**t wrt q?
4
Let f(t) be the second derivative of -11*t**8/56 + t**4/2 - 13*t. What is the third derivative of f(m) wrt m?
-1320*m**3
Let x(i) be the first derivative of -5*i**4/4 + 10*i**3/3 - 4. Find the third derivative of x(z) wrt z.
-30
Let k(l) = 4*l**3 - 17*l**2 + 2. Let d(r) = -7*r**3 + 35*r**2 - 5. Let f(h) = 2*d(h) + 5*k(h). What is the third derivative of f(s) wrt s?
36
Let d = 7 - 4. Find the second derivative of -n**3 + 2*n**3 - 4*n - 3*n**3 + d*n wrt n.
-12*n
Suppose 9 = 2*g + g. Find the third derivative of 2*h**2 + 4*h**2 - 5*h**2 + 3*h**g wrt h.
18
Let r be 1 + (-2)/6*-3. Find the first derivative of -g - r + 3*g - g**2 - 2*g wrt g.
-2*g
What is the second derivative of 3*w - 5*w + w**3 + 0*w**3 wrt w?
6*w
Let w(o) be the second derivative of -1/6*o**3 - 3/2*o**2 + 0 + 2*o. What is the derivative of w(j) wrt j?
-1
Let a be (-1)/((-3)/(16 + -1)). Suppose 8 = a*d - 7. Find the second derivative of 2*z**3 - z + 0*z**3 + d*z wrt z.
12*z
Let v = -1 - 21. Let b be (-140)/(-44) + 4/v. Differentiate -1 - 3*l**4 - b*l + 4 + 3*l wrt l.
-12*l**3
Let x(d) be the first derivative of d**8/48 + d**5/15 - 3*d**2/2 + 9. Let z(t) be the second derivative of x(t). What is the third derivative of z(v) wrt v?
420*v**2
Let y(f) be the first derivative of 24*f**5/5 - 12*f**3 + 1. What is the third derivative of y(r) wrt r?
576*r
Let i(k) be the first derivative of -2 + 3*k + 3/2*k**2. Differentiate i(g) with respect to g.
3
Let q(w) be the third derivative of -w**6/20 + 13*w**3/3 - 26*w**2. Differentiate q(i) with respect to i.
-18*i**2
Let d(u) = u**2 - 6*u + 3. Let s be d(6). Let i(t) be the first derivative of 2 + 1/4*t**4 - t**2 + 0*t**s + 0*t. Find the second derivative of i(g) wrt g.
6*g
Let t(c) = 2*c**2 + 5*c**2 - 3*c**2 + c + 4*c**3 - 6*c**2. Let d be t(1). Find the second derivative of d*i**5 + 0*i**5 + i - 3*i + 6*i wrt i.
60*i**3
Suppose 3*t = -2*m + 12, 0*t - 4*m = -t + 18. Find the first derivative of t*w**2 + 2 + 5*w**4 - 2*w**4 - 6*w**2 wrt w.
12*w**3
Let c(z) = -3 + 6*z + z**2 - 13*z**3 - 5*z + 13 + 3*z**3. Let s(a) = a**2 + a. Let g(h) = c(h) - s(h). Find the first derivative of g(n) wrt n.
-30*n**2
Let t(k) be the first derivative of -51*k**4/4 - k**2 + 3*k - 26. What is the second derivative of t(g) wrt g?
-306*g
Let f(x) be the third derivative of -x**4/24 + 4*x**3/3 - 2*x**2. Let s be f(8). Find the first derivative of 0 + 0*g**2 - 2 + s*g**2 - 2*g**4 wrt g.
-8*g**3
What is the second derivative of 24*n - 4*n**2 - 7*n - 3*n - 10*n wrt n?
-8
Suppose 3*w + 6 = w + 2*n, -4*w - 6 = -2*n. Find the first derivative of -2*q + 2 + w*q - 2*q wrt q.
-4
What is the third derivative of 6*v**5 + 0*v**3 + 3*v**2 - 4*v**2 + 0*v**3 wrt v?
360*v**2
Let k(n) = n**3 - n**2. Let g(x) = 16*x**3 - 6*x**2 - 14*x. Let p(z) = -g(z) + 6*k(z). Find the second derivative of p(a) wrt a.
-60*a
Suppose 0 = -0*y - y + 2. Differentiate 5*p**y - 1 + 7*p**2 - p**2 with respect to p.
22*p
Let j(z) be the second derivative of 3*z**5/4 - 25*z**3/6 - 45*z. Find the second derivative of j(h) wrt h.
90*h
Find the third derivative of -44*y**6 + 2*y**2 + 0*y**2 + 40*y**6 wrt y.
-480*y**3
Let t(p) be the first derivative of -5*p**4/2 + 25*p**2/2 - 30. What is the second derivative of t(q) wrt q?
-60*q
Let y = 48 + -32. Suppose -2*d - 2*d = -y. What is the second derivative of 3*s**4 - 2*s**4 + s - d*s wrt s?
12*s**2
What is the first derivative of 4 - 2*k**4 + 5*k**4 - 9*k**4 - 8*k**4 wrt k?
-56*k**3
Let x be (-8)/4 + (5 - 2). Let w = 0 + x. Find the second derivative of -d**5 - w + 1 + 3*d wrt d.
-20*d**3
Let b(n) be the second derivative of -4*n**7/21 + 2*n**3 + 14*n. Find the second derivative of b(g) wrt g.
-160*g**3
Suppose 3*u - 4*u = -3. Suppose -2*j + u = -11. What is the third derivative of z**2 - j + z**4 + 7 wrt z?
24*z
Let o(x) = -6*x + 1. Let i(a) = -a - 1. Let s(d) = -4*d - 4. Let z(h) = -5*i(h) + s(h). Let q(u) = -o(u) - 4*z(u). Differentiate q(y) wrt y.
2
Let z(g) be the second derivative of 3*g**5/2 + 5*g**3/3 + 28*g. What is the second derivative of z(p) wrt p?
180*p
What is the second derivative of 330*i - 659*i + 355*i - 28*i**3 wrt i?
-168*i
Let q(c) be the third derivative of -8*c**7/105 - 5*c**4/12 + 4*c**2. Find the second derivative of q(y) wrt y.
-192*y**2
Let o be 17/4 - 5/20. Suppose 4*r - o = 2*r. What is the third derivative of z**6 + z**r + 2*z**2 - 2*z**2 wrt z?
120*z**3
Let p(c) be the third derivative of c**6/20 - c**5/5 + 13*c**2. Find the third derivative of p(q) wrt q.
36
Let c(u) be the first derivative of -5/2*u**2 + 1 + 0*u + 7/3*u**3. Find the second derivative of c(m) wrt m.
14
Find the third derivative of 0*h**2 - 2 + 2 - 11*h**3 - 2*h**2 wrt h.
-66
Let g(n) be the first derivative of -7*n**3/3 + 41*n - 1. What is the derivative of g(j) wrt j?
-14*j
Let o(l) = -57*l**5 + 11*l**3 + 18*l**2 - 11. Let z(g) = -29*g**5 + 6*g**3 + 9*g**2 - 6. Let y(t) = 6*o(t) - 11*z(t). Find the third derivative of y(w) wrt w.
-1380*w**2
Differentiate 33*a + 36*a + 15 - 36*a - a**3 with respect to a.
-3*a**2 + 33
Let w(f) be the third derivative of 3*f**4/8 - f**3/3 - 9*f**2. Differentiate w(u) with respect to u.
9
Let x(c) be the second derivative of 0*c**2 + 0 + 0*c**3 - 7/20*c**5 + 9*c + 3/4*c**4. Find the third derivative of x(h) wrt h.
-42
What is the third derivative of -10*i**4 - 7*i**4 + 17*i**4 - 9*i**6 - 33*i**2 wrt i?
-1080*i**3
Let q(h) = h - 1. Let c(m) = m**5 + 6*m - 5. Suppose 5*d - 2*k = 2*k, 2*k - 10 = 0. Let l(r) = d*c(r) - 20*q(r). What is the second derivative of l(p) wrt p?
80*p**3
Suppose -g + 41 = 5*k, 4*g - k - 45 = 14. Suppose -q = -5*h + 10, -5*h + 9 = 2*q - 16. Find the second derivative of 16 + 3*t + t**q - g wrt t.
20*t**3
Let b(z) = -10*z**4 + 4*z**2 - 4*z + 20. Let m(y) = -31*y**4 + 11*y**2 - 11*y + 61. Let s(f) = 11*b(f) - 4*m(f). What is the derivative of s(u) wrt u?
56*u**3
Let i(y) = y**2 - 5*y - 5. Let x be i(6). Let f be 4*2/(x + 1). Differentiate b**3 - 1 - 4*b**2 + f*b**2 with respect to b.
3*b**2
Suppose z - 4*z - 6 = 0. Let x = z + 5. Find the third derivative of -x*t**6 + 0*t**2 + 0*t**6 - t**2 wrt t.
-360*t**3
Let k = 8 + -4. What is the derivative of -3*u**4 + 3 + k*u**4 - 4 wrt u?
4*u**3
Let s = 0 + 3. Find the second derivative of 7*n**s - 3*n**3 + 8*n - 7*n wrt n.
24*n
Let p(s) be the second derivative of 1/2*s**4 + 0 + 0*s**2 + 2/3*s**3 + 5*s. What is the second derivative of p(w) wrt w?
12
Let