- 4. Let h(b) be the second derivative of s(b). What is the second derivative of h(u) wrt u?
12*u**2
Let a = 1/49 - -19/1470. Let s(y) be the second derivative of 0*y**3 + 1/6*y**4 + a*y**6 + 0 + 0*y**5 + 0*y**2 - y. What is the third derivative of s(h) wrt h?
24*h
Let c(a) be the third derivative of -1/105*a**7 + 0*a**4 + a**2 + 0 + 0*a + 1/60*a**5 + 0*a**3 + 0*a**6. What is the third derivative of c(n) wrt n?
-48*n
Let k = 17 - 11. Let v(w) = -w**4 - w - 1. Let p(b) = -5*b**4 - 3*b**2 - 2*b - 2. Let c(r) = k*v(r) - 3*p(r). What is the third derivative of c(n) wrt n?
216*n
Let f(t) be the first derivative of 0*t**4 + 1/3*t**3 + 4 + 0*t**6 + 0*t**2 + 0*t + 0*t**5 + 5/7*t**7. Find the third derivative of f(y) wrt y.
600*y**3
Let c be 2/2*1 - 1. Let l be -2*1*(1 + -2). What is the third derivative of r**2 + 0*r**2 - 3*r**4 + c*r**l + 0*r**4 wrt r?
-72*r
Suppose -4*u + 5*u = 0. Let b(z) be the third derivative of 0 - z**2 + 1/3*z**3 + u*z - 1/12*z**4. Differentiate b(y) wrt y.
-2
Let d(z) be the second derivative of z**5/5 + z**3/6 - 5*z. What is the second derivative of d(r) wrt r?
24*r
Let l(k) be the first derivative of k**4/4 + 2*k + 6. Differentiate l(p) wrt p.
3*p**2
Let z(l) = -13*l**2 - 7. Let f(o) = 26*o**2 + 15. Let v(h) = -2*f(h) - 5*z(h). Differentiate v(i) wrt i.
26*i
Suppose 2*t - 4 = -a, 3 = 3*a - t - 2*t. Suppose -s + a*u - 14 = -3*s, 4*s - 25 = -u. Find the third derivative of -y**s - 5*y**2 + 2*y**2 + 0*y**6 wrt y.
-120*y**3
Let d(v) = -22*v**5 + 22*v**2 - 5*v. Let r(g) = -g**2 - g. Let p(w) = -d(w) + 5*r(w). What is the third derivative of p(i) wrt i?
1320*i**2
Let r(m) be the first derivative of 11*m**5/5 + 15*m - 10. Differentiate r(s) wrt s.
44*s**3
What is the second derivative of 44*d**5 + 5*d + 3*d**4 - 33*d**5 - 3*d**4 wrt d?
220*d**3
Suppose 6 = 3*w - 3. What is the first derivative of -2 + 2 + 0 + w*s**3 + 2 wrt s?
9*s**2
Let l = -5 - -8. Find the second derivative of 7*o + 0*o**l - 8*o + o**4 + 0*o**3 wrt o.
12*o**2
Find the second derivative of -3*o**5 + 128*o - 118*o - 8*o**5 wrt o.
-220*o**3
Let y(r) be the third derivative of -13*r**9/504 + r**5/20 + r**4/12 + 40*r**2 + r. What is the third derivative of y(t) wrt t?
-1560*t**3
Let h(c) = 4*c**5 + 6*c**4 - 5*c**2 + 6*c + 6. Let a(i) = i**5 + i**4 - i**2 + i + 1. Let k(m) = 6*a(m) - h(m). Find the third derivative of k(y) wrt y.
120*y**2
Let n = 2 + 0. Let l be (40/5)/4 - (-3 + 1). Find the second derivative of -5*b + 0*b**4 + b**l + 8*b - n*b**4 wrt b.
-12*b**2
Let r(t) be the first derivative of t**7/42 + t**4/6 + 2*t - 3. Let a(c) be the first derivative of r(c). Find the third derivative of a(b) wrt b.
60*b**2
Find the third derivative of -15 + 27 - 32*n**3 - 3*n**2 - 7 wrt n.
-192
Find the first derivative of 10*w**4 - 25 + 4 - 26*w**3 + 26*w**3 wrt w.
40*w**3
Let o(t) be the third derivative of -7*t**5/60 - t**3/3 - 3*t**2. What is the first derivative of o(m) wrt m?
-14*m
Suppose 0*y + 12 = 5*y + 2*g, 5*y + 5*g = 0. Find the first derivative of -1 - y*h**2 - 2 + 2*h**2 + 3*h**2 wrt h.
2*h
Let l(s) be the first derivative of 0*s + 3 + 0*s**3 + 2/5*s**5 + 0*s**4 - 9/2*s**2. Find the second derivative of l(m) wrt m.
24*m**2
Let l(m) be the second derivative of 1/2*m**3 + 0*m**2 + 0 - 1/6*m**4 + 2*m. What is the second derivative of l(w) wrt w?
-4
Let q be 3/5 - 14/(-35). Let y(h) be the first derivative of -q + 0*h**3 - 1/5*h**5 - 3/2*h**2 + 0*h + 0*h**4. What is the second derivative of y(v) wrt v?
-12*v**2
Let b(q) = 3*q - 7. Let v be b(3). Differentiate 1 + 1 + 1 - 1 + v*y wrt y.
2
Suppose 5*f - 3*l + l = 249, 2*l - 6 = 0. Differentiate -3*y**2 - f*y**3 + 1 + 45*y**3 + 3*y**2 with respect to y.
-18*y**2
Suppose -5*z - 80 = -5*d, 5*d = z + 68 + 8. Let i be 5*-1*(-6)/d. What is the first derivative of 3*b**2 - i - 2*b**2 - 2*b**2 wrt b?
-2*b
Let p(f) be the first derivative of 1/6*f**6 + 0*f**2 + 0*f**4 - 1/3*f**3 + 2 + 0*f**5 + 0*f. What is the third derivative of p(t) wrt t?
60*t**2
Let u = -2 + 5. Suppose d - u - 7 = 0. What is the second derivative of q + 0*q**2 - 8*q**2 + d*q**2 wrt q?
4
Let u(q) be the third derivative of 0*q**4 + 0*q + 0 + 5/6*q**3 - 6*q**2 + 0*q**6 + 1/70*q**7 + 0*q**5. Find the first derivative of u(b) wrt b.
12*b**3
Let q(h) = h**2 - 12*h + 14. Let u be q(11). Find the second derivative of -4*v**u - 14*v + 7*v + 12*v wrt v.
-24*v
Let y be (-6)/3 + -1 + 4. Suppose -4*f = -0 - 8. Find the first derivative of y + 2*n - 6*n + f*n wrt n.
-2
Let l(m) = 53*m - 19. Let s(z) = -106*z + 40. Let h(i) = 5*l(i) + 3*s(i). Find the first derivative of h(j) wrt j.
-53
Let o(z) = 16*z**3 - 4*z. Let t(r) = -40*r**3 + 10*r. Let c(d) = -12*o(d) - 5*t(d). Find the second derivative of c(x) wrt x.
48*x
Let j(r) = -9*r - 9. Let k(l) = 13*l + 13. Suppose -5*u = -0*u. Suppose -2*n + u*n = -10. Let h(q) = n*k(q) + 7*j(q). Differentiate h(t) wrt t.
2
Let f(s) be the third derivative of 11*s**5/60 + 5*s**4/8 + 12*s**2. Find the second derivative of f(h) wrt h.
22
Let t = 6 - 3. Let x = 3 - 1. Find the second derivative of -b**2 + b**2 - b + x*b**t wrt b.
12*b
Find the third derivative of -3*w**6 - 5*w**6 + 4*w**6 + 17*w**2 - w**6 wrt w.
-600*w**3
Let s(n) = n**2 + 5. Suppose -y - 2 = 2. Let d(u) = u**2 + 5. Let b(z) = y*s(z) + 3*d(z). What is the derivative of b(q) wrt q?
-2*q
Let b(y) = -13*y**4 - 4*y**2 + y + 4. Let a(k) = -k**2 + k + 1. Let t(n) = -4*a(n) + b(n). Find the second derivative of t(h) wrt h.
-156*h**2
Let c(x) be the second derivative of 0*x**2 + 0 - x - 7/6*x**3 + 0*x**4 + 1/10*x**5. What is the second derivative of c(s) wrt s?
12*s
Suppose -f - 2 = -5. What is the second derivative of f*c + 3*c**3 + 5*c + 3*c - 5*c wrt c?
18*c
Let q(l) = 5 + 0 - 4 + 0. Let p(m) = -2*m**3 + 7*m**2 + 3. Let y(f) = p(f) - 3*q(f). What is the third derivative of y(w) wrt w?
-12
Let n(x) = x**3 + x**2 + x. Let t(g) = -9*g**3 + 6*g**2 + g. Let y(q) = -2*n(q) + 2*t(q). Find the third derivative of y(r) wrt r.
-120
Find the second derivative of 62*j - 2*j**2 + 2*j**2 + 24*j**4 - 39*j wrt j.
288*j**2
Let n(t) be the first derivative of 2*t**6/3 + 10*t**3/3 + 6. Find the third derivative of n(a) wrt a.
240*a**2
Let a(j) = 20*j**4 + 6*j**3 + 6*j**2 - 21*j + 6. Let i(k) = k**4 - k**3 - k**2 + k - 1. Let t(x) = -a(x) - 6*i(x). Find the second derivative of t(g) wrt g.
-312*g**2
Let y(f) be the first derivative of 6*f**3 - 27*f + 9. Find the first derivative of y(a) wrt a.
36*a
Suppose 4*w + 0*w = 16. Suppose w*x + 10 = -2*y + 3*y, 0 = y + x. Find the third derivative of -2*a - a**5 + y*a + 0*a**5 - a**2 wrt a.
-60*a**2
Let d(a) be the third derivative of 0*a**4 - 2*a**2 - 1/60*a**6 + 0 + 0*a + 0*a**3 + 1/12*a**5. What is the third derivative of d(c) wrt c?
-12
Let b(w) be the first derivative of 0*w**4 + 1 + 0*w - 5/6*w**6 + 0*w**3 + 0*w**5 + 3/2*w**2. What is the second derivative of b(c) wrt c?
-100*c**3
Let a(t) be the second derivative of t**5/20 + t**4/24 + t**2/2 + 3*t. Let v(j) be the first derivative of a(j). What is the second derivative of v(o) wrt o?
6
Let f(c) = -3*c - 30. Let y(m) = m + 1. Let a(b) = f(b) + 5*y(b). What is the derivative of a(p) wrt p?
2
Find the third derivative of n**4 + 5*n**4 + 2*n**2 - 4*n**4 + 2*n**4 wrt n.
96*n
What is the third derivative of 15*o**6 - 4*o**2 - o**6 - 7*o**6 wrt o?
840*o**3
Let a = 5 - 4. What is the first derivative of -a + 6*l**4 - 2 - 5*l**4 - 1 wrt l?
4*l**3
Let o(r) = -1. Let l(m) = 3*m + 5. Let k(x) = l(x) + o(x). What is the derivative of k(n) wrt n?
3
Let w(a) = 38*a**2 - 13*a - 17. Let o(i) = 13*i**2 - 4*i - 6. Let b(c) = 17*o(c) - 6*w(c). What is the second derivative of b(r) wrt r?
-14
Let f(i) = 3*i - 3. Let s be f(2). Let g = s - 3. Find the third derivative of 0 + b**6 + g + b**2 wrt b.
120*b**3
Let v be 0 + 0 + (-10)/(-2). Suppose -8 = -v*q + 2. What is the second derivative of -2*j**2 - j + j + q*j wrt j?
-4
Let w = 10 + -7. Suppose -z + 12 = w*z. What is the third derivative of 3*t**z + 0*t**2 + t**2 - 4*t**3 wrt t?
-6
Let z(m) = m**2 + 11*m + 13. Let w be z(-10). Differentiate -9 + a + 0*a + 0*a - w*a with respect to a.
-2
Suppose 2*m = 6*m. Suppose 2 = -m*z + z. What is the second derivative of -2*r**5 + z*r**5 + r**5 + 2*r wrt r?
20*r**3
Let h(y) = -18*y**3 - 35*y**2 + 17*y - 17. Let n(l) = -6*l*