Let c(q) = -q**2 + 3*q. Let v(a) = 501*a**2 - 12*a - 647. Let g(b) = -4*c(b) - v(b). Differentiate g(y) wrt y.

Let s(x) be the third derivative of -1013*x⁵⁄₆₀ - x⁴⁄₂₄ - 103*x³⁄₂ + 1453*x2. Differentiate s(l) wrt l.

-2026*l - 1

Let k = ⁸⁵⁹⁄₄ + -⁸⁵³⁄₄. Let s(p) be the first derivative of 11*p + k*p**2 + 8. Differentiate s(v) with respect to v.

3

Let q be 10/((-25)/5) + (-1 - -5). Suppose 5*m - 13 = q. What is the second derivative of 164 - f**m + 6*f - 164 wrt f?

-6*f

Suppose 8 + 2 = 5*x. Suppose -5*p - x*i + 15 = 0, 4*i + 0*i + 9 = 3*p. Find the second derivative of -p*v5 + 8*v + 5*v5 + 6*v - 2*v wrt v.

40*v**3

Suppose -5*a + 4*r = -19, 3*r + 3 = -0. Suppose -a*u = 4*q + 2*u, u = 0. Differentiate q*s - 12*s - 159 + 172 with respect to s.

-12

Let h(d) be the first derivative of 72 - 18*d4 + 0*d2 + ³¹⁄₃*d**3 - 2*d. What is the third derivative of h(j) wrt j?

-432

Let o® = 5 - 1 - r3 - 1 + 3. Let k be o(0). What is the third derivative of 5*xk + 3*x6 - 2*x2 - 4*x6 + 14*x6 wrt x?

2160*x**3

Suppose 5*x = -g - 4*g + 35, -3*g = 5*x - 25. Suppose 2*p - g*n - 10 = 3*p, 5*n = -3*p + 20. What is the second derivative of 3*w - w + w - p*w**2 wrt w?

-30

Let k(p) = 4*p2 - 493*p + 1365. Let r(x) = -3*x2 + 486*x - 1365. Let j(v) = -2*k(v) - 3*r(v). Differentiate j(i) wrt i.

2*i - 472

Let y(q) = 1349*q3 + 21*q2 - 37*q - 5. Let k© = -2*c3 - 2*c2 - 2*c + 1. Let a(h) = 5*k(h) + y(h). What is the third derivative of a(w) wrt w?

8034