e 3*z - n = -2. Find the second derivative of i - 4*i**2 + i**z + 2*i**2 wrt i.
-2
Suppose -10 = -5*j - 0. Let f(h) be the third derivative of 0*h - 1/12*h**4 + 0*h**3 + 0 - h**j + 1/20*h**5. Find the second derivative of f(g) wrt g.
6
Let q = -51 + 53. Let u(v) be the first derivative of 0*v**q + 0*v + 3 + 1/2*v**4 - v**3. Find the third derivative of u(j) wrt j.
12
Let v be (-15)/45*(-7 - -1). Let b(l) be the second derivative of 0*l**2 + 0*l**3 - 1/6*l**4 + 1/20*l**5 + 0 - v*l. What is the third derivative of b(m) wrt m?
6
Find the second derivative of -14*o**5 + 4*o - 5*o + 8*o**5 - 20*o**5 wrt o.
-520*o**3
Let r(y) be the third derivative of 11*y**9/504 + y**5/20 + 9*y**2. Find the third derivative of r(b) wrt b.
1320*b**3
Suppose o = -2*j + 3, -3*o - 32 = -3*j + o. What is the derivative of -g**4 + 4*g**j - 5 + 4*g - 4*g wrt g?
12*g**3
Suppose 0 = 7*x - 3*x - 12. Let d(n) be the second derivative of 3*n + 1/20*n**5 + 0 + 0*n**4 + 0*n**x + 1/2*n**2. What is the first derivative of d(j) wrt j?
3*j**2
Let f(b) be the second derivative of -1/2*b**4 - 3*b + 0*b**2 + 0 - 5/6*b**3. Find the second derivative of f(q) wrt q.
-12
Let n(v) be the second derivative of v**4/3 + 7*v**2/2 + 14*v. Differentiate n(b) with respect to b.
8*b
Find the third derivative of -15 + 18*o**2 + 15 - o**6 + 0*o**6 wrt o.
-120*o**3
Let k(q) = q**2 + 2*q + 3. Let j(g) = -2*g**3 - g + 1. Let a be j(1). Let b be k(a). What is the third derivative of -y**b + y + 2*y**2 - y wrt y?
-6
Let j(t) be the first derivative of t**3 + 0*t**4 + 0*t**2 + 2/5*t**5 + 0*t - 3. Find the third derivative of j(y) wrt y.
48*y
Let s(a) be the third derivative of 7/6*a**3 + 0*a**5 + 0 - 2/105*a**7 + 0*a + 6*a**2 + 0*a**6 + 0*a**4. Differentiate s(o) wrt o.
-16*o**3
Find the first derivative of -10 - 24*j**2 - 7 - 1 wrt j.
-48*j
Let u(t) = 7*t**4 - 11*t**3 + 83*t**2 + 11*t - 53. Let k(h) = 4*h**4 - 6*h**3 + 42*h**2 + 6*h - 27. Let i(v) = 11*k(v) - 6*u(v). Differentiate i(r) wrt r.
8*r**3 - 72*r
Let h(k) be the first derivative of 13*k**6/6 - 18*k**2 - 32. Find the second derivative of h(z) wrt z.
260*z**3
Let o(c) be the first derivative of 5*c + 7/5*c**5 + 0*c**2 + 0*c**4 - 3 + 0*c**3. What is the derivative of o(n) wrt n?
28*n**3
Let h(q) be the third derivative of 2*q**2 + 0*q - 1/60*q**5 + 0*q**3 + 0 - 1/120*q**6 + 0*q**4. What is the third derivative of h(w) wrt w?
-6
Let p(b) = -b**5 - b**4 + b**2 + b - 1. Let a(f) = f**5 + 7*f**4 - 3*f**2 - 7*f + 7. Let l(o) = 2*a(o) + 14*p(o). Find the third derivative of l(s) wrt s.
-720*s**2
Let t(k) be the first derivative of -k**8/168 - k**5/60 - k**2 + 3. Let u(i) be the second derivative of t(i). Find the third derivative of u(s) wrt s.
-120*s**2
What is the third derivative of 8*v**5 + 5*v**2 + 0*v**2 - 5*v**5 - 9*v**5 wrt v?
-360*v**2
What is the second derivative of -4*p**2 + 3*p - p**2 + p**2 - 6*p wrt p?
-8
Suppose -o + 5 + 9 = -4*h, -5*h - 19 = -2*o. What is the second derivative of 2*v**2 + 9*v + 0*v**o - 10*v wrt v?
4
Let y = -14 - -16. Find the third derivative of -5*p**2 - 6*p**3 - 40*p + 40*p + 2*p**y wrt p.
-36
Find the first derivative of 20 + 9 + 14 - 10 + 9*a**2 wrt a.
18*a
Let q(h) = -h**3 - h - 1. Let m(i) = 10*i**3 + 19*i - 2. Let k(u) = m(u) - 2*q(u). Find the second derivative of k(f) wrt f.
72*f
Let n(j) be the first derivative of 7*j**6/6 + 27*j**2/2 + 9. What is the second derivative of n(d) wrt d?
140*d**3
What is the third derivative of -10*m**2 + 2*m**6 + 3*m**2 - 8*m**6 wrt m?
-720*m**3
Let i(o) = o**4 - o**3 + o. Let l be (2/4)/((-1)/2). Let c(x) = x**4 + 3*x**3 + 5*x. Let v(w) = l*c(w) - 3*i(w). Find the second derivative of v(u) wrt u.
-48*u**2
Suppose 5*n = 3*n + 8. Differentiate 3*k**n - 3 + 3*k**4 - 3*k**4 wrt k.
12*k**3
What is the second derivative of 4*j + 4*j + 172*j**4 - 129*j**4 wrt j?
516*j**2
Let g(r) be the first derivative of -r**3/2 - 3*r**2 - 8*r + 5. Let i(x) be the first derivative of g(x). Differentiate i(t) with respect to t.
-3
Let s(n) be the third derivative of n**7/30 + n**4/8 + 6*n**2. What is the second derivative of s(y) wrt y?
84*y**2
What is the second derivative of 11*o**2 + o + 4*o**3 - 11*o**2 wrt o?
24*o
Find the third derivative of 2*u**2 - 15*u + 60*u**6 - 17*u + 8*u - 3*u**2 wrt u.
7200*u**3
What is the first derivative of -2*k**2 - 2*k**2 - 2 - 9 + 5*k**2 wrt k?
2*k
Let u(r) = 1. Let o(t) = 5*t + 2. Let z(b) = -o(b) + 2*u(b). Let m(q) = 6*q + 1. Let k(h) = 6*m(h) + 5*z(h). Differentiate k(l) with respect to l.
11
Let r(j) be the first derivative of j**3/3 + 5*j**2/2 + 4*j + 3. Let g(t) be the first derivative of r(t). Differentiate g(q) with respect to q.
2
What is the second derivative of 2*m + 3 - 8*m**2 + m**5 - 7*m + 2*m - 10*m wrt m?
20*m**3 - 16
Let f(z) = z**2 + z + 4. Let o be f(0). Suppose a + 5 - o = -5*r, -a + 2*r = -13. What is the third derivative of -8*g**6 - 3*g**2 + g**2 + a*g**6 wrt g?
120*g**3
Let a be 1/(2 + 15/(-9)). Find the third derivative of 3*y - a*y + 2*y**6 - 4*y**6 - y**2 wrt y.
-240*y**3
Let m(z) = 41*z**4 + 2*z**3 - 2*z + 6. Let i(r) = 81*r**4 + 5*r**3 - 5*r + 11. Let g(h) = -2*i(h) + 5*m(h). What is the derivative of g(a) wrt a?
172*a**3
Let q(a) = a**3 + a + 1. Let t(w) = -3*w**3 + 6*w + 12. Let i(j) = 6*q(j) - t(j). What is the first derivative of i(d) wrt d?
27*d**2
Let w(k) be the second derivative of -k**8/3360 + k**7/630 + k**4/3 + 4*k. Let x(y) be the third derivative of w(y). What is the third derivative of x(v) wrt v?
-12
Let u(v) be the third derivative of -2/105*v**7 + 0*v**6 + 0*v**4 + 0*v + 0*v**3 - 2*v**2 + 0 - 1/10*v**5. Find the third derivative of u(i) wrt i.
-96*i
Let q(s) = 9*s**5 - 12*s**2 - 5*s - 5. Let y(n) = 9*n**5 - 13*n**2 - 6*n - 6. Let m(o) = -6*q(o) + 5*y(o). What is the third derivative of m(v) wrt v?
-540*v**2
Suppose -6*n + 3*n = -12. Suppose -n*q = -0*q - 5*v + 17, -5 = -v. What is the first derivative of q + 2 + 2*y**3 - 3 wrt y?
6*y**2
Let n = 8 - 3. Find the third derivative of 3 - 4*q**5 + 2*q**2 + q**n - 3 wrt q.
-180*q**2
Let f(h) = h**3 - h**2 + h. Let z(q) = 3*q - 2*q**2 + 2*q**3 + 2*q**2 - 3*q**2 + q. Let d(b) = 4*f(b) - z(b). What is the third derivative of d(m) wrt m?
12
Let j(m) = -m - 2 + m + m. Let g be j(7). Differentiate -6*h - 1 + 0 + g*h wrt h.
-1
Suppose y + y = 10. Let j(n) = -6*n**3 - 5*n + 2. Let x(l) = -5*l**3 - 4*l + 2. Let a(i) = y*x(i) - 4*j(i). Find the first derivative of a(k) wrt k.
-3*k**2
Let x(d) be the second derivative of 2/3*d**3 + 0*d**2 + 0 + 0*d**4 - 1/20*d**5 + d. Find the second derivative of x(l) wrt l.
-6*l
Let x(f) = f**3 + f + 6. Let j be x(0). Let o be (-1)/(-1*2/j). Find the second derivative of 0*r + 2*r**o - r + 2*r wrt r.
12*r
What is the derivative of -28 - 2*v**4 + 6*v**4 - 3*v**4 + 15 wrt v?
4*v**3
Let c(z) = -z + 1. Let a(b) be the first derivative of 3/2*b**2 - 1/2*b**4 - 5*b + 1 + 0*b**3. Let m(n) = -a(n) - 3*c(n). Differentiate m(y) with respect to y.
6*y**2
Let b(u) = -15*u + 7. Let r(m) = 14*m - 6. Let w(p) = 4*b(p) + 6*r(p). What is the first derivative of w(z) wrt z?
24
Let w(n) = n + 1. Let v be w(4). Find the third derivative of -d**2 - 9*d**v + 3*d**6 + 9*d**5 wrt d.
360*d**3
Let s(j) be the first derivative of -3 - 2*j + 0 - j**3 + 5*j. What is the derivative of s(m) wrt m?
-6*m
Suppose 0 = 4*y + 5*r - 17, 3*y - r - 10 + 2 = 0. Let k be 2 + y/3 + -1. Find the second derivative of i - 2*i**2 + k - 2 wrt i.
-4
Let t(q) be the third derivative of 5*q**2 + 0*q + 0*q**3 + 0*q**5 + 1/24*q**4 + 1/60*q**6 + 0. What is the second derivative of t(z) wrt z?
12*z
Let s be (3/1 - 2)*2. Find the second derivative of -2*p**3 - 3*p + 2*p**3 + s*p**4 + 0*p**3 wrt p.
24*p**2
What is the third derivative of 2288*x**4 - 40*x**2 - 2288*x**4 - 3*x**5 wrt x?
-180*x**2
Let c(s) be the third derivative of s**8/336 + 3*s**6/20 - 3*s**4/4 + 52*s**2. What is the second derivative of c(m) wrt m?
20*m**3 + 108*m
Let b(v) = 9*v + 4 + 1 - 13*v. Let q(a) = -a - 6. Let y be q(-9). Let t(f) = f - 1. Let z(p) = y*t(p) + b(p). Find the first derivative of z(r) wrt r.
-1
Suppose -16 = 4*u, -1 - 21 = -3*d + 4*u. What is the second derivative of -6*p**4 - d*p**5 + 6*p**4 + 2*p wrt p?
-40*p**3
Suppose 0 = x - 4*x + 36. Suppose 5*p - p = x. What is the second derivative of 0*b**p + b + 2*b**3