*2 wrt c.
-4
Let b(x) = 6*x**3 + 3*x**2. Let s(o) = 5*o**3 + 2*o**2 + o. Let g(r) = 2*b(r) - 3*s(r). Find the second derivative of g(p) wrt p.
-18*p
Let f(s) = s**4 + s**2 + s - 1. Let k(x) = 22*x**5 + 6*x**4 + 33*x**2 + 6*x - 6. Let d(t) = 6*f(t) - k(t). Find the third derivative of d(a) wrt a.
-1320*a**2
Let c(a) = -2*a - 1. Let s be c(-2). What is the second derivative of 10*n**3 + 0*n - 6*n + n - 5*n**s wrt n?
30*n
Let k(c) be the first derivative of 3/4*c**4 + 0*c**2 + 0*c + 7 + 8/3*c**3. What is the third derivative of k(l) wrt l?
18
What is the third derivative of -2*t**3 - 5*t**3 - 2*t**2 - 4*t**2 + t**3 wrt t?
-36
Let c(s) = -5. Let y(h) = -h + 3. Let q(g) = -4*c(g) - 5*y(g). Differentiate q(b) wrt b.
5
Let h(y) = 41*y**4 - 4*y**3 + 3*y**2 - 2. Let z(w) = -124*w**4 + 11*w**3 - 9*w**2 + 6. Let a(b) = -11*h(b) - 4*z(b). What is the third derivative of a(c) wrt c?
1080*c
Let k(t) be the second derivative of -11*t**6/30 - t**3/6 - 11*t. What is the second derivative of k(v) wrt v?
-132*v**2
Let m(k) be the first derivative of -4*k**6/3 - 2*k**2 - 1. Find the second derivative of m(u) wrt u.
-160*u**3
Let n(c) be the second derivative of -1/2*c**3 - 1/10*c**5 + 0*c**4 + 0 + 0*c**2 - 5*c. What is the second derivative of n(t) wrt t?
-12*t
Let z be 2/(-10) + (-78)/(-15). Differentiate 3 + 0 - 1 - z + 3*x wrt x.
3
Find the third derivative of -71 + 71 + 3*g**2 + 5*g**3 + 5*g**2 wrt g.
30
Suppose 6*c - 16 = 8. Suppose -t = -2 - 2. Find the second derivative of -m**5 + m**t - m**4 - c*m + 0*m**4 wrt m.
-20*m**3
Let n(v) be the second derivative of v**6/6 - v**4/6 - 3*v. Find the third derivative of n(w) wrt w.
120*w
Suppose -4*u + 8 = b, -3*b = -2*b + 5*u - 9. Differentiate 2*t**3 - 2*t**3 - 4 - t**4 + 0*t**b wrt t.
-4*t**3
Let x(k) be the second derivative of -3*k**5/20 - 13*k**3/3 - 6*k. What is the second derivative of x(i) wrt i?
-18*i
Let x(v) = 2. Let h(i) = 1. Let s(w) = -w - 1. Let y(b) = -5*h(b) - s(b). Let f(n) = -5*x(n) - 2*y(n). What is the derivative of f(j) wrt j?
-2
Let w(b) be the second derivative of 2*b**6/15 - 4*b**2 - 3*b. What is the derivative of w(g) wrt g?
16*g**3
Let i(n) be the first derivative of 0*n**2 - 3/4*n**4 + 5 + 0*n - 1/3*n**3. Find the third derivative of i(t) wrt t.
-18
Let b be 4/6*(-3)/2. Let r be (1/b)/1*-4. What is the derivative of -2*a**4 + 5*a**4 - 1 - a**r wrt a?
8*a**3
Suppose -3*r - 3*u = -5*r + 16, 3*u + 6 = 0. Let k be 76/20 + 1/r. Find the third derivative of -4*f**2 + 6*f**2 + 3*f**k - 4*f**4 wrt f.
-24*f
Let t = -5 - -8. Suppose 20 = 4*c - 8. Find the second derivative of -2*f + 2*f**t - 7 + c wrt f.
12*f
Let q(g) = 10*g**2 + 52*g + 8. Let r(n) = -3*n**2 - 17*n - 3. Let v(t) = -3*q(t) - 8*r(t). Find the second derivative of v(p) wrt p.
-12
Suppose -6 - 14 = 4*x. Let w = -3 - x. What is the second derivative of -s**3 - s - w*s + s wrt s?
-6*s
Let f(k) be the first derivative of -25*k**4/4 - 52*k**3/3 - 53. What is the third derivative of f(o) wrt o?
-150
Let x(s) = -40*s + 11 + 19*s + 20*s. Let q(v) be the first derivative of -6*v + 1. Let p(u) = 5*q(u) + 3*x(u). Differentiate p(b) wrt b.
-3
Let f(y) be the second derivative of -y**7/35 - y**3/3 + 2*y**2 + y. Let r(d) be the first derivative of f(d). What is the derivative of r(l) wrt l?
-24*l**3
Let f(d) be the second derivative of d**9/3024 - d**5/60 - d**3/6 + d. Let m(r) be the second derivative of f(r). What is the second derivative of m(y) wrt y?
20*y**3
Let y(a) be the first derivative of -a**7/42 + a**3/6 - 3*a - 1. Let w(f) be the first derivative of y(f). Find the second derivative of w(c) wrt c.
-20*c**3
Suppose -2*z + 3 + 1 = 0. What is the first derivative of 6*c**z - 7 + 4 - 6 + 0*c**2 wrt c?
12*c
Let s be (2/(-2) + 1)/1. Find the second derivative of 7*c + s*c**2 - 5*c - 3*c**2 wrt c.
-6
Differentiate 0*i**3 + 15 - 6*i**3 + 13*i**3 wrt i.
21*i**2
Differentiate 7 + 13 - 9*t + 6 with respect to t.
-9
Suppose -3*g + 4*r + 3 - 19 = 0, 8 = 2*r. Let i = g + 2. What is the second derivative of -h + 0*h**2 + 3*h**i - 4*h**2 + 3*h wrt h?
-2
Let h(x) = -x**2 - 5*x - 6. Let r(z) = -z**2 - 5*z - 6. Let d(f) = 3*h(f) - 4*r(f). Let k be d(-4). Find the third derivative of 2*g**k + 2*g**3 + 0 + 0 wrt g.
12
Suppose 0 = 4*q - 32 - 8. Find the first derivative of 11*x**4 + 6*x**4 - 5 - q*x**4 wrt x.
28*x**3
Let o(z) be the third derivative of 0*z**5 + 0*z + 0*z**3 + 0 + 1/48*z**8 + z**2 - 1/6*z**4 + 0*z**6 + 0*z**7. Find the second derivative of o(c) wrt c.
140*c**3
Suppose 2*c = x + 6, x + 4*c - c = 14. Find the third derivative of -j**5 + 2*j**2 + 8*j**5 - 4*j**x + j**2 wrt j.
420*j**2
Let w(t) = -5*t**3. Let p(i) = -26*i**3 - 1. Suppose g = -2, 5*o = 2*g - 7 + 16. Suppose -2*f - o = -5. Let d(b) = f*p(b) - 11*w(b). Differentiate d(j) wrt j.
9*j**2
Let d(x) be the first derivative of 16*x**7/7 - 4*x**3 + 6. What is the third derivative of d(w) wrt w?
1920*w**3
Let t(r) be the first derivative of 0*r**3 + 0*r - 7/2*r**2 + 5 + 3/2*r**4. What is the second derivative of t(u) wrt u?
36*u
Let p(h) = -20*h**3 - 6*h**2 - 6*h - 16. Let a(y) = -21*y**3 - 5*y**2 - 5*y - 15. Let o(k) = -6*a(k) + 5*p(k). What is the first derivative of o(m) wrt m?
78*m**2
Let y(s) be the third derivative of -19*s**9/168 - 14*s**5/15 + s**2 + 39*s. What is the third derivative of y(h) wrt h?
-6840*h**3
Suppose -2*a = -6 + 2. Find the third derivative of a*k**2 - 2*k**6 - 8*k**2 + 3*k**6 wrt k.
120*k**3
Let w(x) be the third derivative of -x**9/1680 + x**5/30 - 7*x**4/24 - 9*x**2. Let q(p) be the second derivative of w(p). Differentiate q(t) wrt t.
-36*t**3
Let a(x) be the second derivative of -2*x + 0 - 1/6*x**3 - 1/20*x**5 + 0*x**4 + 0*x**2. What is the second derivative of a(g) wrt g?
-6*g
Let h(i) be the second derivative of i**8/1680 - 5*i**4/24 - 3*i**3/2 - 4*i. Let y(g) be the second derivative of h(g). Find the first derivative of y(o) wrt o.
4*o**3
Let a(y) be the third derivative of -1/4*y**4 + 0*y - 1/3*y**3 + 0 - 2*y**2. What is the derivative of a(z) wrt z?
-6
Suppose -2*z + 5*f - 2 = 0, -2*f + 4 = -0*f. What is the third derivative of -2*v**3 + 5*v**2 - z*v**3 + 5*v**3 wrt v?
-6
Let h(f) be the third derivative of 0*f + 0*f**4 + 0 - f**2 - 1/30*f**6 - 5/6*f**3 + 0*f**5. Differentiate h(y) wrt y.
-12*y**2
Let g = -5 - -7. What is the third derivative of -4*f**3 + g*f**2 - f**3 + f**4 + 5*f**3 wrt f?
24*f
Let p(o) = -15*o**6 - 5*o**3 + o**2 - 5. Let j(a) = a**3 - a**2 + 1. Let s(b) = 5*j(b) + p(b). Find the third derivative of s(t) wrt t.
-1800*t**3
Let m(h) be the first derivative of 1/2*h**2 - 5 + 0*h + 3/4*h**4 + 0*h**3. Find the second derivative of m(p) wrt p.
18*p
Let h(i) be the third derivative of -7*i**2 + 5/24*i**4 - 1/2*i**3 + 0*i + 0. Find the first derivative of h(y) wrt y.
5
Let o(y) = 5*y**5 + 5*y**4 + 3*y**2 - 5. Let f(a) = -a**5 + a**4 - 1. Let h be 3*-2 + 4 + -3. Let b(n) = h*f(n) + o(n). Find the third derivative of b(m) wrt m.
600*m**2
What is the third derivative of 26*b**2 + 0*b**3 - 5*b**3 - 5*b**3 - 3*b**2 wrt b?
-60
Let m(j) be the first derivative of 41*j**5/5 + 38*j - 8. Find the first derivative of m(a) wrt a.
164*a**3
Differentiate -2 + 47*f - 8 - 1 - 24*f with respect to f.
23
Let l(q) = 3*q - 2*q - 8 + 8 + q**2. Let u(h) = -7*h**2 - 6*h. Let y(b) = -10*l(b) - 2*u(b). Find the second derivative of y(o) wrt o.
8
Let p(s) = 37*s**3 - 49*s**2 - 9*s. Let b(u) = -9*u**3 + 12*u**2 + 2*u. Let j(h) = 9*b(h) + 2*p(h). Find the third derivative of j(m) wrt m.
-42
Let d(f) = f**3 - 4*f**2 - f + 4. Suppose -4*h = -4, 0*o + 4*h - 20 = -4*o. Let t be d(o). What is the first derivative of t - 4 + 2 + 2*p**3 wrt p?
6*p**2
Let c(u) be the second derivative of u**10/15120 + u**6/180 + u**4/4 + 4*u. Let s(y) be the third derivative of c(y). Find the second derivative of s(p) wrt p.
40*p**3
Let f(n) = 55*n**3 - 6*n**2 - 6*n - 26. Let a(x) = 165*x**3 - 17*x**2 - 17*x - 78. Let w(c) = -6*a(c) + 17*f(c). Differentiate w(d) with respect to d.
-165*d**2
Suppose -4*b = -9*b - 3*v - 17, 18 = 2*b - 5*v. Let k be b + 2/(-2) + 5. Find the second derivative of 7*j - 6*j - 3*j - j**k wrt j.
-6*j
Let r(t) be the second derivative of 0 - 1/14*t**7 - 1/2*t**3 + 0*t**4 + 0*t**5 - 4*t + 0*t**6 + 0*t**2. What is the second derivative of r(o) wrt o?
-60*o**3
Let h be 