3/2 + s**2 + 2. Let c(n) be the second derivative of u(n). Differentiate c(t) wrt t.
6*t
Let w = -20959/40 - -524. Let t(v) be the third derivative of 0*v**5 + 2*v**2 - w*v**6 + 0 + 0*v - 2/3*v**3 + 0*v**4. Differentiate t(f) wrt f.
-9*f**2
Let b(f) be the third derivative of f**6/24 + 7*f**5/15 + 4*f**2 - 4. Find the third derivative of b(y) wrt y.
30
Find the first derivative of 5*z**4 + 7*z**4 + 8 + 0 wrt z.
48*z**3
Let i(l) be the third derivative of -3/20*l**5 + 0*l**3 - 8*l**2 + 0*l**4 + 0*l - 3/40*l**6 + 0. Find the third derivative of i(z) wrt z.
-54
Suppose 2*z = -2*v + 18, -5*z + 40 = 2*v + 2*v. Find the second derivative of 0*o**v - 8*o**5 + 2*o + o - 2*o wrt o.
-160*o**3
Let b(d) be the first derivative of 3*d**5/5 + 28*d**2 - 66. What is the second derivative of b(u) wrt u?
36*u**2
Suppose 0 = 9*d - 8*d - 7. Find the second derivative of -d + 7 + q - q**3 wrt q.
-6*q
Let h(x) = 5*x**3 - 3*x - 10. Let a(l) = 4*l**3 - 2*l - 11. Let p(f) = 3*a(f) - 2*h(f). Find the first derivative of p(q) wrt q.
6*q**2
Suppose -5*b - 18 = -x - 6, 4*x + 2*b = 4. Find the first derivative of 5*v**2 + 6*v**3 + 5*v**2 - 10*v**x - 6 wrt v.
18*v**2
Let l(y) be the first derivative of 9*y**2/2 + 2*y - 3. Differentiate l(h) with respect to h.
9
Suppose -14*y + 12 = -12*y. What is the third derivative of 4*m**5 - 4*m**2 - 5*m**2 + y*m**2 wrt m?
240*m**2
Let d(f) be the first derivative of 8*f**7/7 - f**3/3 + 17. Find the third derivative of d(n) wrt n.
960*n**3
Let d = -27 + 33. Let x(j) be the second derivative of 0*j**5 - 3/2*j**2 + 1/15*j**d + 0 + 0*j**3 + 2*j + 0*j**4. What is the derivative of x(c) wrt c?
8*c**3
Let o(n) = 12*n**4 - 6*n**3 + 6*n - 23. Let q(a) = 11*a**4 - 5*a**3 + 5*a - 23. Let k(p) = -5*o(p) + 6*q(p). Differentiate k(r) wrt r.
24*r**3
Suppose 3*a + 2 - 14 = -3*i, 5*i = -4*a + 22. Find the second derivative of 6 - i - 3*q + q**3 wrt q.
6*q
Suppose 0 = -2*v - 0 + 6. Find the first derivative of i + v*i**2 - 1 + i**2 - i wrt i.
8*i
Suppose -2*t + 2*a = 6, 3*t + 0*t + 14 = 4*a. Find the third derivative of -3 + 1 + 3*y**2 - t*y**6 + 2 wrt y.
-240*y**3
Let k(m) = -m**3 - 3*m + 3. Let l(b) = -2*b**3 + b**2 - 5*b + 5. Let h(c) = 5*k(c) - 3*l(c). What is the third derivative of h(j) wrt j?
6
Let t be ((-15)/3)/(1/(-1)). What is the third derivative of -t*p**3 + 4*p**3 + 5*p**3 - p**2 wrt p?
24
Suppose -3*l - 2*l = -10. Find the third derivative of 0*a**3 + 2*a**3 - a**3 - 2*a**l - 2*a**2 wrt a.
6
Let d = 70 - 70. Let w(z) be the first derivative of 0*z**5 + 0*z**3 + 3 + 0*z**4 - 3/2*z**2 + d*z - 1/3*z**6. Find the second derivative of w(y) wrt y.
-40*y**3
Let j be 1*(3 + -3 + 1). Differentiate 4*i**3 + j - 8*i**3 + i**3 wrt i.
-9*i**2
Let m(x) be the second derivative of -5/2*x**2 + 2/3*x**3 + 2*x + 0. Find the first derivative of m(o) wrt o.
4
Let c(n) = n**3 + n - 1. Let t(z) = -7*z**3 - 12*z + 5. Let q(j) = 5*c(j) + t(j). What is the second derivative of q(x) wrt x?
-12*x
What is the second derivative of -546*x**2 + 0*x**3 - 7 + 545*x**2 + 2*x + x**3 + 2*x**3 wrt x?
18*x - 2
Suppose 4*x - 3*x + 5*p - 1 = 0, -3*p + 51 = -5*x. Let v = 14 + x. What is the derivative of -z**3 - 1 - 4*z**2 + 4*z**2 + v wrt z?
-3*z**2
Let u(p) = p**2 - 2. Let r(i) = 8*i**2 - 6. Let t(k) = -5*r(k) + 5*u(k). What is the derivative of t(m) wrt m?
-70*m
Suppose -2*g + 6 + 4 = 0. Find the second derivative of -3*b**5 + b**g + 17*b - 15*b wrt b.
-40*b**3
Let n = 4 + -6. Let h = n - -4. Differentiate 2 - h*k**3 - 6*k + 6*k wrt k.
-6*k**2
Let j(h) be the third derivative of 0 + 1/6*h**3 + h**2 + 0*h + 0*h**4 - 1/40*h**6 + 0*h**5. What is the derivative of j(m) wrt m?
-9*m**2
Let s(x) be the second derivative of 0*x**6 - 1/7*x**7 + 0*x**4 - x**3 + 0 + 2*x + 0*x**2 + 0*x**5. Find the second derivative of s(l) wrt l.
-120*l**3
Suppose -4*i + 91 = -3*c, 20 = 3*i - 2*i + 2*c. Find the third derivative of 2*u**4 - 22 + i + 5*u**2 wrt u.
48*u
Let a(s) be the third derivative of -3*s**5/20 + 35*s**4/24 + 23*s**2 + 1. Find the second derivative of a(c) wrt c.
-18
What is the first derivative of 12 + 17*y**4 - 7*y**3 + 8*y**3 - y**3 wrt y?
68*y**3
Let i(r) be the third derivative of r**8/48 - r**5/30 + 2*r**2. What is the third derivative of i(m) wrt m?
420*m**2
Suppose -4*u = -2*u. Suppose x + 2*x - 3 = 0. Differentiate x - v + u + 0 wrt v.
-1
Let l(w) be the third derivative of w**7/105 + 9*w**3/2 - 21*w**2. What is the derivative of l(r) wrt r?
8*r**3
What is the second derivative of -h**4 + 2*h + 0*h - 9*h - 3*h**4 wrt h?
-48*h**2
Let k(h) be the second derivative of -1/6*h**3 + 0 - 1/2*h**2 - 3*h. Differentiate k(b) with respect to b.
-1
Find the first derivative of 4 + s + 2*s + 13*s**2 - 3*s wrt s.
26*s
Suppose 3 = -2*h - 3. Let j(l) = -l - 1. Let o be j(h). What is the second derivative of -2*u**5 + u - o*u + u**5 wrt u?
-20*u**3
Let z(k) = 44*k**4 - 12*k**2 + 3*k - 3. Let q(t) = -t**2 + t - 1. Let m(p) = -3*q(p) + z(p). What is the third derivative of m(u) wrt u?
1056*u
Let v = 6 - 2. Differentiate -2 + 0*a**4 + 0 - 4*a**4 + a**v with respect to a.
-12*a**3
Let a(n) = 31*n**3 - n**2 - 5*n. Let r(g) = 16*g**3 - g**2 - 3*g. Let t(p) = 3*a(p) - 5*r(p). What is the third derivative of t(v) wrt v?
78
What is the third derivative of 29*s - 29*s + 8*s**6 - s**2 wrt s?
960*s**3
Suppose -h - 8 - 2 = -d, -2*d + 3*h + 23 = 0. Find the second derivative of -d*y + y**2 + 2*y**4 - 3*y**2 + 2*y**2 wrt y.
24*y**2
Let k(x) = x - 1. Let w be k(2). Find the first derivative of 2 + j + 2*j + w wrt j.
3
Find the third derivative of 4*n**3 - 23*n**3 - n**3 + 0*n**2 - 10*n**2 wrt n.
-120
Let z(y) be the third derivative of y**6/60 + y**3/2 + 3*y**2. What is the first derivative of z(o) wrt o?
6*o**2
Let z(n) be the second derivative of 11*n**6/15 - n**4/12 - n**3/3 + 2*n + 9. What is the second derivative of z(v) wrt v?
264*v**2 - 2
Let n(k) = 2*k**2 + 2*k. Let v be n(-2). What is the first derivative of -2*y - 3*y**3 + 2 - v + 2*y wrt y?
-9*y**2
Suppose -5*m + 5*i + 55 = 0, -3*i = 5 + 7. Suppose 2*s = 1 + m. Find the second derivative of -4*y**3 + 4*y**3 - 8*y**s + 5*y**4 - 2*y wrt y.
-36*y**2
Let v(q) = 3*q**3 - 4*q - 4. Let n(s) = -3*s**3 - s**2 + 5*s + 5. Let c(r) = 4*n(r) + 5*v(r). What is the third derivative of c(u) wrt u?
18
Let s = 4 - -1. Find the second derivative of -2*d**5 + 4*d + d**s - 2*d + 3*d wrt d.
-20*d**3
Let d be 4/(-6)*(-9)/6. Find the third derivative of 0 + d + 3*s**2 - 1 + 3*s**3 wrt s.
18
Let f be -5 - -3 - (0 + 0). Let x = f - -5. What is the second derivative of 2*h - h**3 + 0*h**x - 4*h wrt h?
-6*h
Let y(g) be the third derivative of g**9/56 + g**5/10 - 5*g**2. What is the third derivative of y(p) wrt p?
1080*p**3
Let c(p) = p + 8. Let n be c(-8). Suppose n*l = 2*l. What is the second derivative of -3*k - 2*k**2 + 6*k + l*k**2 wrt k?
-4
Let i(p) be the third derivative of -p**7/840 - p**5/120 + p**4/8 - 2*p**2. Let h(r) be the second derivative of i(r). What is the derivative of h(v) wrt v?
-6*v
Let a(r) = -r**3 + 4*r**2 + 2*r - 5. Let q be a(4). Find the third derivative of -4*d**2 - 4*d**3 - q*d**2 - 2*d**3 wrt d.
-36
Suppose 4*v - 8 = 0, 4*u + 5*v = 6 + 4. Let j = u - -1. Find the third derivative of -p**3 + 1 - 2*p**2 - j wrt p.
-6
Differentiate 2 + l**2 - 8*l**2 + 11*l**2 wrt l.
8*l
Let o be 4 + -2 + -3 + 2. Let u be (8/(-3))/(2/(-3)). Find the first derivative of w**2 - o - w**u - w**2 wrt w.
-4*w**3
Let x(u) be the first derivative of -3*u**4/2 - 5*u**2/2 + 31*u + 56. What is the derivative of x(j) wrt j?
-18*j**2 - 5
Differentiate -8 - 5 - 9*w + 9 wrt w.
-9
What is the third derivative of -4*x**2 + 2*x**2 + 3*x**2 + 7*x**4 + x**4 wrt x?
192*x
Let w(o) = -18*o**5 + 4*o**3 + 26*o**2. Let r(j) = 17*j**5 - 5*j**3 - 26*j**2. Let n(b) = 4*r(b) + 5*w(b). Find the third derivative of n(g) wrt g.
-1320*g**2
Suppose 4*u - 16 = 2*x, -8 = x - 4*u - 0*u. Let b be (-2)/((x/(-6))/(-2)). Find the second derivative of -r**3 + r**b - 2*r**3 + r + r**3 wrt r.
-6*r
Suppose -6*i = -9*i + 30. Find the second derivative of -g**3 + i*g - g - g**2 + g**2 wrt g.
-6*g
Find the third derivative of 218*j**6 + 3*j**2 - 2*j**2 - 213*j**6 wrt j.
600*j**3
Let t be 3 - (2 + 2/(-2)). Suppose 0 = 2*m + t*m. What is the second derivative of 5*d - 3*d**5 - 2*d + m*d wrt d?
-60*d**3
Suppose