Suppose 2*b + 5 + 24 = -5*s, 3*s = 4b + 45. Let a be 4⁄6(-54)/b. Differentiate 8*v3 + 61 - 19 + 3*va - 30 wrt v.

33*v**2

Suppose -2*d - 6 = -14. Let v® = -1. Let b(f) = 0*f - 7*f - f + 16. Let y(l) = d*v(l) + b(l). What is the first derivative of y(k) wrt k?

-8

Let p(f) be the second derivative of 0*f4 + 0 + 1⁄5*f5 + 0*f2 + 13⁄3*f3 + 22*f. Find the second derivative of p(u) wrt u.

24*u

What is the second derivative of -34643*l3 + 67651*l3 + 1367*l - 34675*l**3 wrt l?

-10002*l

Let k(q) = -2*q3 - 59*q2 + 30*q + 3. Let l be k(-30). Let j(p) be the second derivative of -16*p + 0 - 13⁄2*p2 + 1⁄2*pl. Differentiate j(w) wrt w.

3

Suppose -11*m = -19*m + 16. Differentiate -36*l2 + 18*l2 + 16*l**m + 74 + 11*l with respect to l.

-4*l + 11

Let m(h) be the first derivative of 71*h6⁄30 - 17*h3⁄6 - 40*h - 26. Let s(x) be the first derivative of m(x). What is the second derivative of s(d) wrt d?

852*d**2

Let s(p) = -165*p3 - 11*p2 - 310*p. Let g(k) = 333*k3 + 23*k2 + 625*k. Let u(z) = -6*g(z) - 13*s(z). What is the second derivative of u(f) wrt f?

882*f + 10

Let k(l) be the first derivative of 3*l4⁄2 + 5*l3 - 3*l**2⁄2 - 81*l + 1450. What is the second derivative of k(d) wrt d?

36*d + 30

Let j(q) be the first derivative of q2⁄2 + 3*q - 14. Let y be j(-1). What is the third derivative of -6*g2 + y*g5 + 5*g2 + 5*g5 + 3*g5 wrt g?

600*g**2