*a + 19. Find the second derivative of -7*n**2 - 8*n**q - 9*n + 13*n**2 wrt n.
-4
Let b(h) = 26*h**3 + 10*h**2 + 10. Let k(q) = -q**2 - q - 1. Let v(l) = b(l) + 10*k(l). Find the second derivative of v(y) wrt y.
156*y
Let f(w) be the first derivative of -2/3*w**3 - 9 + 0*w**2 + 3*w. What is the derivative of f(u) wrt u?
-4*u
Suppose 0 = -3*i + 2*s + 2, 3*s = -i - 2*s + 29. Find the second derivative of -u**4 - u + 3*u + 2*u**5 + u**i wrt u.
40*u**3
Let l(k) be the second derivative of -k**7/210 + k**3/6 - k**2/2 - 3*k. Let d(j) be the first derivative of l(j). Find the first derivative of d(t) wrt t.
-4*t**3
Let l(d) be the third derivative of 5*d**4/24 - 3*d**3/2 + 5*d**2. What is the first derivative of l(q) wrt q?
5
Let f be ((-24)/16)/(1/(-2)). Find the second derivative of f*b**5 - 3*b + 2*b - 4*b**5 + 2*b wrt b.
-20*b**3
Let q(a) = a**3 + a**2 - a + 1. Let n(z) = -9*z**4 - 4*z**3 - 14*z**2 + 4*z - 4. Let s(r) = -n(r) - 4*q(r). Find the third derivative of s(j) wrt j.
216*j
Let a(o) be the third derivative of o**8/24 + 3*o**5/10 - 23*o**2. Find the third derivative of a(d) wrt d.
840*d**2
Let q(y) = 2*y**2 + y - 2. Let v be q(-2). Suppose c + 3 = v*c. Find the first derivative of -2 - 2*d**4 + c - d**4 + 4*d**4 wrt d.
4*d**3
Let i(t) be the third derivative of t**4/24 + t**3/2 + 13*t**2 - 3. Find the first derivative of i(a) wrt a.
1
Find the first derivative of 1 + 9*q - 5 + 0 + 3 wrt q.
9
Let u(t) be the third derivative of 0*t + 0*t**4 - 1/15*t**5 + 0 - 3*t**2 - 1/2*t**3. What is the first derivative of u(y) wrt y?
-8*y
Suppose 0 = -3*q + 12, 3*t - 4*q = 8*t - 36. Find the first derivative of 0 + 4 + f**t - 3 + 0*f**4 wrt f.
4*f**3
Differentiate 33 - 14 - 10 - 24 + 4*v**2 with respect to v.
8*v
What is the second derivative of q - 3*q + q**3 - 3*q**3 - 5*q**3 wrt q?
-42*q
Let k(t) = -16*t**3 - 3*t**2 - 3*t + 1. Let p(s) = 48*s**3 + 8*s**2 + 8*s - 2. Let w(g) = 8*k(g) + 3*p(g). Differentiate w(l) wrt l.
48*l**2
Suppose 2*g = -4*s + 2126, g + 2 = -3. Find the third derivative of 534*a**5 + 8*a**6 - s*a**5 - 3*a**2 wrt a.
960*a**3
Let o(y) = 11*y**2 - 6*y - 4. Let u(q) = 33*q**2 - 17*q - 11. Let p(a) = 11*o(a) - 4*u(a). Find the second derivative of p(v) wrt v.
-22
Let y(w) = -2*w + 6. Let g(i) = i. Let u(r) = -3*g(r) + y(r). What is the first derivative of u(t) wrt t?
-5
Let q(u) be the first derivative of 1/3*u**3 + 0*u - 2 - 3/2*u**2. What is the second derivative of q(k) wrt k?
2
Differentiate 18*z**2 + 360*z + 8 - 360*z wrt z.
36*z
What is the third derivative of 35*b**3 + 19*b**2 - 5*b**2 - 74*b**3 + 35*b**3 + b wrt b?
-24
Suppose 2*z = -g - 2*z - 14, -z - 10 = -3*g. Find the third derivative of 6*w**2 + 2*w**4 - g*w**4 - 4*w**2 + 4*w**6 wrt w.
480*w**3
Let m(d) = -d**4 + d**3 - d**2 - d - 1. Let a(z) = 14*z**4 - 8*z**3 + 4*z**2 + 8*z + 8. Let t(q) = -a(q) - 8*m(q). What is the third derivative of t(g) wrt g?
-144*g
What is the third derivative of 25*x**2 - 8*x**6 + 3 - 3 + 51*x**6 wrt x?
5160*x**3
Let w(h) be the third derivative of 11*h**7/210 + h**3/3 - 3*h**2. What is the first derivative of w(t) wrt t?
44*t**3
Suppose -5*u + 8 = -3*a, 0*a + 2*u = -5*a + 28. What is the derivative of 1 - o + 0*o + a - 2 wrt o?
-1
Find the third derivative of 3*c**2 - 2*c**2 - 4*c**2 - 2*c**2 - 4*c**4 wrt c.
-96*c
What is the third derivative of y**5 + 7*y**5 + y**5 + 2*y**2 wrt y?
540*y**2
Let x = 17 - 22. Let d(w) = -w + 2. Let q(p) be the second derivative of p**3/3 - 3*p**2/2 - 2*p. Let m(s) = x*d(s) - 3*q(s). Differentiate m(j) wrt j.
-1
Let c(i) be the third derivative of i**6/120 - i**5/12 + 5*i**3/6 - i**2. Let o be c(5). Find the third derivative of -k**2 - 4 + k**o + 4 wrt k.
60*k**2
Let n(p) = -14*p - 23. Let s(k) = 5*k + 8. Let q(w) = 6*n(w) + 17*s(w). Let l be q(4). Differentiate 4*t**2 - t**2 - 2*t**2 - l wrt t.
2*t
Let s(r) be the third derivative of 0 + 0*r**4 + 0*r - 1/30*r**5 - 1/6*r**3 + 4*r**2. Differentiate s(x) wrt x.
-4*x
Let v(w) = -5*w. Let s be v(-2). Suppose -s = -q - 4*q. What is the derivative of 1 - 2 - o**2 - q wrt o?
-2*o
Let k(c) = -c**3 + c**2 - c - 1. Let u(v) = 28*v**3 + 2*v**2 - 4*v + 9. Let j(w) = 4*k(w) - u(w). Find the third derivative of j(r) wrt r.
-192
Suppose -d = w, 3*d + 0*w - 8 = -w. Let s = -2 + d. Find the second derivative of -s*u - 4*u + 5*u - 2*u**3 wrt u.
-12*u
Let r(w) = 3*w**3 + 4*w**2 + 2. Let u = 1 - 0. Let y(s) = s**2 + s**3 - 4*s**3 + 4*s**3 + u. Let q(o) = r(o) - 2*y(o). Find the third derivative of q(a) wrt a.
6
Suppose -4 = -5*a + 3*a. What is the first derivative of 4*y - 4*y + a - 3*y - y wrt y?
-4
Let y = 8 - 5. What is the third derivative of y*d**2 - 2*d**4 - 2*d**4 + 3*d**4 - d**2 wrt d?
-24*d
Let w(u) = u**3 - 6*u**2 - u + 5. Let r be w(6). Let o(b) = b**2 - b - 1. Let c(d) = -5*d - 1. Let m(g) = r*c(g) + 5*o(g). What is the derivative of m(v) wrt v?
10*v
Let w(k) = -k**3 - 3*k**2 + 4*k + 1. Let b = -14 + 10. Let m be w(b). Differentiate 2*h**4 - m - 2 + 2 wrt h.
8*h**3
Let p(s) = 21*s**3 - s**2 - 22*s + 1. Let r(i) = -i**3 + i**2 + i - 1. Let c(k) = -p(k) - r(k). Find the second derivative of c(q) wrt q.
-120*q
Differentiate 692 + 0*f + 12*f - 725 with respect to f.
12
Let y(l) = 82*l**4 + 8*l**3 - 8*l**2 - 155. Let u(i) = 55*i**4 + 5*i**3 - 5*i**2 - 103. Let r(x) = -8*u(x) + 5*y(x). What is the first derivative of r(h) wrt h?
-120*h**3
What is the third derivative of 8*m**2 - 15*m**2 + 0 + 0 - 8*m**3 wrt m?
-48
Suppose -l + 1 = 5*b, -3*b - 3*l - 4 = -7. Let r be b + 0 - 4/(-2). Differentiate -4 - i**r + 2 + 1 with respect to i.
-2*i
What is the second derivative of 9*b - 9*b**5 + 4*b**3 - 4*b**3 wrt b?
-180*b**3
Suppose h + 5*b = -3, 3*b = -h - 4*h + 7. Let o(x) = -1. Let t(p) = 3*p + 3*p - 4*p. Let f(u) = h*o(u) - t(u). What is the first derivative of f(l) wrt l?
-2
Let n(f) be the third derivative of -f**2 + 0*f**5 + 0*f + 0*f**3 - 1/8*f**4 + 0 + 0*f**6 - 1/168*f**8 + 0*f**7. Find the second derivative of n(p) wrt p.
-40*p**3
Let d(i) = 5*i**3 + 31*i**2 - 7. Let z(o) = -2*o**3 - 16*o**2 + 4. Let g(p) = -4*d(p) - 7*z(p). Find the third derivative of g(h) wrt h.
-36
Suppose -5 = 2*z + 3*w, -z - 2*z + 4*w = -18. Suppose 0 = -z*k - 0*k. What is the first derivative of -6 - 3*p**4 + 4 + k wrt p?
-12*p**3
Let q(k) = k + 1. Let s be q(0). Let b(v) = 5*v**3 + v. Let p be b(s). What is the third derivative of p*f**6 - 4*f**6 - 2*f**2 + 4*f**2 wrt f?
240*f**3
Let d(r) = 16*r + 7. Let m(y) = 8*y + 4. Let o(g) = -3*d(g) + 5*m(g). What is the derivative of o(h) wrt h?
-8
Let i(u) be the first derivative of 22*u**3/3 - u**2/2 - 20*u + 27. Differentiate i(n) with respect to n.
44*n - 1
Suppose 5*u = 25, -g - 3 + 22 = 3*u. Differentiate 0*z**4 + 4 + 4 - 2 + z**g wrt z.
4*z**3
What is the second derivative of -86*c + 3*c**3 + 36*c - 12*c**3 wrt c?
-54*c
Let t(c) = -16*c**4 + 9*c + 11. Let r(g) = -5*g**4 + 3*g + 4. Let a(m) = -11*r(m) + 4*t(m). What is the second derivative of a(n) wrt n?
-108*n**2
Let d(m) be the second derivative of 2*m**7/21 + m**4/2 + 5*m. What is the third derivative of d(o) wrt o?
240*o**2
Let n(i) be the third derivative of -7*i**6/24 - i**5/60 - 7*i**3/6 - 20*i**2. Differentiate n(v) with respect to v.
-105*v**2 - 2*v
Let y(j) be the first derivative of -j**8/240 - j**6/360 + 2*j**3/3 - 2. Let g(c) be the third derivative of y(c). Find the third derivative of g(f) wrt f.
-168*f
What is the second derivative of 0*j + 7*j - 25*j**2 + 13*j wrt j?
-50
Let o(s) = 5*s - 2. Suppose -r - 4*k + 22 = 0, -r = 3*r - 3*k - 12. Let l(g) = -1. Let t(x) = r*l(x) - o(x). Differentiate t(b) with respect to b.
-5
Suppose -4*r - 4*n = -3*r - 21, 20 = 4*n. What is the derivative of -r - q - q - q wrt q?
-3
What is the derivative of 20*j**3 - 35*j**3 + 20*j**3 - 15 wrt j?
15*j**2
Suppose 4*g + s = -2, 5*g - 6 = -2*s + 5*s. Let t(r) be the first derivative of g*r**4 + 0*r**3 - 2 + 0*r**2 - r + 2/5*r**5. Differentiate t(c) wrt c.
8*c**3
Suppose 14*p = -0 - 0. Let a(n) be the second derivative of -4*n + 0*n**3 - 2*n**2 - 1/3*n**4 + p. Differentiate a(j) with respect to j.
-8*j
Let r(x) = 2*x + 6. Let o(c) = 0*c + c + 2*c + 0 + 11. Let a(n) = -3*o(n) + 5*r(n). Differentiate a(f) wrt f.
1
Find the second derivative of 0*t**3 + 0*t**2 + 0*t**2 + 7*t - 6*t**3 wrt t.
-36*t
Suppose -2*i - o - 