Let y(u) be the third derivative of 53*u**6/4 + 3*u**5/20 + 11*u**4/24 + 1045*u**2. What is the third derivative of y(x) wrt x?

Suppose -7*y + 5 = -37. Suppose 0 = -5*f + y*f - 4. Find the third derivative of -53*h3 + 53*h3 + 0*h2 - 4*hf - h**2 wrt h.

-96*h

Let h(o) be the first derivative of 62 + 34*o2 + 0*o + ¹⁄₃*o3 + 6*o**4. What is the second derivative of h(b) wrt b?

144*b + 2

Let z(v) = -v + 4. Let y be z(-2). Suppose -2*n - n = 4*x + 2, -4*x - y = n. Find the second derivative of -h2 - 19*h - 13*hn + 10*h wrt h.

-28

Let s(t) be the second derivative of -t²⁄₂ - 7*t. Let m = 46 - 51. Let o(g) = g3. Let d(w) = m*s(w) + 6*o(w). Differentiate d(i) with respect to i.

18*i**2

Find the third derivative of -94 - 68 - 6*r4 + r2 - 73 - 320 + 5*r4 + 18*r3 wrt r.

-24*r + 108

Let x(a) be the first derivative of 2*a³⁄₃ + 615*a²⁄₂ + 434*a + 525. Differentiate x(d) wrt d.

4*d + 615

Let a(q) = -q2 + 6*q - 6. Let v be (¹⁄₃)/((-140)/48 - -3). Let n be a(v). Find the first derivative of -7 - 11 - 2*j3 + n + 18*j**3 wrt j.

48*j**2

Let f = 22 - 18. Suppose w - f*t = -3*t, 3*w = -4*t + 28. Find the second derivative of w*i + 14*i5 - 4*i + 0*i5 + 2*i wrt i.

280*i**3

Let j(i) be the second derivative of -¹⁄₃*i3 + 0*i6 + ¹⁄₂₀*i5 - i2 + 0*i4 + 42*i - ¹⁄₂₁*i7 + 0. What is the second derivative of j(p) wrt p?

-40*p**3 + 6*p

Let l(w) be the third derivative of 55*w⁷⁄₁₄ + 362*w³⁄₃ - 429*w**2. What is the derivative of l(h) wrt h?

3300*h**3