Suppose 0 = 3*m + 2*m + 70. Let h(y) = y**3 + 14*y**2 + y + 16. Let w be h(m). Differentiate -n**2 + 6*n**w + 11*n**2 + 0*n**2 + 7 with respect to n.

Let f = 278 + -167. What is the third derivative of -17*j6 + f*j2 - 36*j2 + 64*j6 wrt j?

5640*j**3

Let y(n) be the second derivative of -385*n⁴⁄₄ - n³⁄₃ - 437*n**²⁄₂ + 7*n - 26. Find the second derivative of y© wrt c.

-2310

Suppose 0 = 3*z - 5*a + 42, -42 = 5*z - 3*a + 4*a. Let n be ((-12)/z)/((-4)/(-12)). What is the second derivative of -8*v4 + 2*v4 + 10*v + n*v wrt v?

-72*v**2

Suppose 8*q = 12*q - 8. Let k(w) = -14*w - 5. Let o(n) = -n + 1. Suppose 5 + 0 = 5*j. Let t(x) = j*k(x) + q*o(x). What is the derivative of t(i) wrt i?

-16

Let i® be the second derivative of 683*r⁴⁄₁₂ - 107*r³⁄₂ - 648*r. What is the second derivative of i(m) wrt m?

1366

Let b = 64 + -61. Find the second derivative of 34*v + 839*vb - 839*v3 + 65*v**4 + 39*v wrt v.

780*v**2

Let k(q) = -73*q2 - 51*q - 4. Let d(n) = -n2 + n + 1. Let h be 0/2 - 2/(-2). Let s(t) = h*k(t) + 4*d(t). What is the second derivative of s(m) wrt m?

-154

Let q(o) = -22*o + 1. Let c(f) = -570*f + 249. Let a(s) = 3*c(s) - 6*q(s). Find the first derivative of a(x) wrt x.

-1578

Let q(n) = -n3 - 2*n2 - n - 1. Let i(t) = -896*t5 + 2*t3 + 97*t**2 + 2*t + 4. Let z(u) = -i(u) - 2*q(u). Find the third derivative of z(g) wrt g.

53760*g**2

What is the third derivative of 4*b3 + 336*b2 - 10*b3 + 2 - 81*b2 + 6*b3 - 1429*b4 wrt b?

-34296*b