*4 + 1 + 8*r**4 + y*r**4 wrt r.
20*r**3
Let s(v) be the second derivative of 0 - 1/3*v**4 + v + 1/3*v**3 + 0*v**2. Find the second derivative of s(u) wrt u.
-8
Let j(m) = -8*m**3 + 27*m**2 + 5*m + 5. Let d(a) = 12*a**3 - 40*a**2 - 7*a - 7. Let b(h) = 5*d(h) + 7*j(h). What is the third derivative of b(z) wrt z?
24
Let v(c) be the second derivative of 0 + c - 1/8*c**4 + 3/2*c**2 - 1/6*c**3. Let k(d) be the first derivative of v(d). Find the first derivative of k(i) wrt i.
-3
Let o(w) be the second derivative of w**3/6 + 3*w. Let q(y) = 3*y**4 - y**2 + 2*y. Let m(d) = 2*o(d) - q(d). Find the third derivative of m(h) wrt h.
-72*h
Let s = 4 + 0. Suppose 0*m - 2*m = 2*i - 18, -s*m = -i - 21. Find the first derivative of 4*f**3 - 4 - m*f**3 + 1 wrt f.
-6*f**2
Let n(q) = -11*q**3 + 21*q. Let s(r) be the first derivative of -5*r**4/4 + 5*r**2 + 8. Let l(o) = -3*n(o) + 7*s(o). Find the second derivative of l(w) wrt w.
-12*w
Let p(n) be the third derivative of -n**5/12 + n**3 - 3*n**2. Differentiate p(i) with respect to i.
-10*i
Let z(d) = -5*d**2 + d - 6. Let x(y) = 14*y**2 - 4*y + 17. Suppose 6*f - 5*f = -6. Let n(p) = f*x(p) - 17*z(p). What is the second derivative of n(b) wrt b?
2
Find the third derivative of 8*c**4 - 105*c**2 + 53*c**2 + 50*c**2 wrt c.
192*c
Let u(a) = 5*a**4 + 3*a**3 + 4. Suppose -5*w + 0 + 15 = 0. Let m(r) = -r**4 - r**3 - 1. Let v(d) = w*m(d) + u(d). What is the derivative of v(t) wrt t?
8*t**3
Suppose 0 = 6*z - z. Differentiate 0 + z*f - 4 - f wrt f.
-1
Suppose 6 = -5*k + 41. Suppose 3*s + 3*z - 3 = 0, -2*z = 3*s - 3*z - k. What is the second derivative of -4*t**4 + 3*t**3 - s*t**3 - t - t**3 wrt t?
-48*t**2
Let o(v) = -37*v**2 + 3*v + 43. Let m(u) = -38*u**2 + 4*u + 43. Let w(z) = 3*m(z) - 4*o(z). Find the first derivative of w(a) wrt a.
68*a
Let g(n) = -5*n**3 + 6*n**2 + 6*n - 6. Let y(o) = -4*o**3 + 7*o**2 + 5*o - 7. Let d(f) = 7*g(f) - 6*y(f). What is the second derivative of d(b) wrt b?
-66*b
Let a(o) be the first derivative of -o**6/3 - 5*o**3/3 - 5. What is the third derivative of a(g) wrt g?
-120*g**2
Let t(v) = 4*v**4 + 6*v**2 + 6*v - 8. Let d(j) = 3*j**4 + 5*j**2 + 5*j - 8. Let y(r) = -6*d(r) + 5*t(r). What is the derivative of y(o) wrt o?
8*o**3
Let l(w) be the second derivative of -w**8/560 + w**5/40 - w**3/2 + w. Let k(o) be the second derivative of l(o). What is the second derivative of k(a) wrt a?
-36*a**2
Let t(j) = 12*j**4 - 8*j**3 - j + 8. Let l(n) = 3 - 3*n**4 + 7*n**4 - 4*n**3 + n**3. Let p(d) = 8*l(d) - 3*t(d). Find the second derivative of p(w) wrt w.
-48*w**2
Let r(v) = -8*v**3 - 6*v**2 + 3*v + 6. Let n(b) = -17*b**3 - 13*b**2 + 7*b + 13. Let w(x) = -6*n(x) + 13*r(x). What is the second derivative of w(l) wrt l?
-12*l
Let h be (1*-8)/(-5 - -3). What is the third derivative of -4*p**2 - 4*p + h*p + 2*p**6 + p**2 wrt p?
240*p**3
Let y = -2 - -4. Suppose 0 = -o - y + 7. Find the third derivative of -2*a**2 + 2*a**6 - o*a**6 + a**2 - 2*a**2 wrt a.
-360*a**3
Let j = -9 + 20. Let z = -8 + j. Find the second derivative of -8*p**z + 2*p**4 - p + 8*p**3 wrt p.
24*p**2
Find the second derivative of g - 3*g**2 + g**4 + 3*g**2 + 0*g**2 wrt g.
12*g**2
Let i(o) be the first derivative of -o**7/42 + o**4/12 + 3*o**2 + 2. Let n(r) be the second derivative of i(r). What is the second derivative of n(t) wrt t?
-60*t**2
Suppose 4 = -2*w + 4*n, 0 = -w - 4*n + n + 3. What is the first derivative of -48 + w*p**2 + 53 + 0*p**2 - 7*p**4 wrt p?
-28*p**3
Let t(w) be the first derivative of 0*w**2 + 0*w**4 + 4/5*w**5 + 5 + 0*w**3 - 2*w. What is the first derivative of t(g) wrt g?
16*g**3
Let f(t) be the first derivative of 0*t**2 + 2/3*t**3 + 3 + 0*t + 3/4*t**4. What is the third derivative of f(c) wrt c?
18
Let t(h) be the third derivative of 0*h**6 + 0*h**4 - 2/105*h**7 + 0 + 0*h - 2*h**2 + 0*h**5 - 1/6*h**3. What is the derivative of t(d) wrt d?
-16*d**3
What is the derivative of -18 - 2*w**2 - 225*w + 24*w**3 + 225*w wrt w?
72*w**2 - 4*w
Let i be (-5)/(-2) + (-1)/(-2). Suppose 4*s = -b - 13, 7*s + 29 = 3*b + 2*s. Find the first derivative of -1 - 4*m**b - 5*m**i - 3 + 8*m**3 wrt m.
-3*m**2
Let a(y) be the third derivative of y**6/20 + y**4/24 - 9*y**2. What is the second derivative of a(k) wrt k?
36*k
Let n(g) be the first derivative of -8*g**4 + 12*g - 1. What is the derivative of n(d) wrt d?
-96*d**2
Let a(o) = 7*o - 2. Let k(z) = 3 - 4 - 3*z + 2. Let i(x) = 4*a(x) + 9*k(x). What is the derivative of i(f) wrt f?
1
Let j(f) = -11*f**2 - 3*f + 9. Let x(r) = -5*r**2 - r + 4. Let k be (-18)/(-8)*1*-4. Let g(d) = k*x(d) + 4*j(d). What is the second derivative of g(c) wrt c?
2
Let j(u) be the third derivative of -u**6/360 + u**4/24 + u**3/6 - 3*u**2. Let d(n) be the first derivative of j(n). Differentiate d(c) wrt c.
-2*c
What is the second derivative of -11*q**3 - q + 3 + 2*q + 5*q + 24*q**3 + q**2 wrt q?
78*q + 2
Let u(y) be the third derivative of -1/24*y**4 + 0 + 0*y - 2*y**2 + 0*y**3 + 0*y**5 + 1/20*y**6. What is the second derivative of u(x) wrt x?
36*x
Let b(k) be the second derivative of 25*k**4/12 - 5*k**3/3 + 25*k - 2. Find the second derivative of b(c) wrt c.
50
Let h(q) = q**2 - 7*q + 4. Let v(r) = 8*r**3 - r. Let i be v(1). Let z be h(i). Find the second derivative of 2*d + 5*d**4 - 2*d**z - 4*d**4 + 0*d**4 wrt d.
-12*d**2
Let w(a) be the second derivative of 0 - 1/4*a**4 + 0*a**2 - 1/6*a**3 - a. Find the second derivative of w(v) wrt v.
-6
Let q(f) = -30*f + 45. Let a(j) = -15*j + 23. Let s(r) = 7*a(r) - 4*q(r). Differentiate s(i) wrt i.
15
Let q(j) be the third derivative of j**6/30 + 7*j**3/6 - 10*j**2. Differentiate q(p) wrt p.
12*p**2
Let s(u) = -12*u**3 - 7*u**2 + 4*u. Let x(g) = 11*g**3 - g - 3*g + 3*g**2 + 3*g**2. Let t(w) = 6*s(w) + 7*x(w). Find the second derivative of t(v) wrt v.
30*v
Let s(p) = 3*p**4 + p**2 - 2*p - 2. Let x(a) = 1 + a**2 - a + 2*a + 0 - a**4. Let f(t) = -s(t) - 2*x(t). What is the third derivative of f(o) wrt o?
-24*o
Let z(n) be the second derivative of -3*n**7/14 - n**3/3 + 10*n. Find the second derivative of z(c) wrt c.
-180*c**3
Suppose 2*g + 5*f = -11, -6*f = -4*g - 2*f + 20. Suppose g*b - 5*s = -3*b, -6 = -2*s. What is the second derivative of -3*a + 4*a - 5*a**3 + 6*a**b wrt a?
6*a
Let p(u) = 4*u**3 - u**2 + 2*u - 1. Let n be p(1). Suppose -n = -o - o. Differentiate -j**4 - o + 1 - j**4 wrt j.
-8*j**3
Let b(j) be the second derivative of j**6/180 - j**4/24 - j**3/2 - 2*j. Let z(a) be the second derivative of b(a). Differentiate z(w) wrt w.
4*w
Let v(p) be the first derivative of -5/6*p**6 + 0*p**4 + 2 + 0*p**2 + 0*p**5 + 1/3*p**3 + 0*p. Find the third derivative of v(n) wrt n.
-300*n**2
Suppose 0 = -2*n + 2*l - 0*l, 2*l - 18 = -4*n. Suppose c = -n + 6. Find the second derivative of 4*o**3 - 2*o**c + 0*o + 2*o wrt o.
12*o
Let x = 12 + -10. What is the first derivative of 23*l**2 + 7 - 23*l**x - 7*l**4 wrt l?
-28*l**3
Let h = -9 + 65. Let u be h/(-12)*36/(-14). What is the first derivative of 2*j**2 + 12*j - 3 - u*j wrt j?
4*j
Find the second derivative of -2*u**2 - 3 + 3 - u**2 + 11*u wrt u.
-6
Let a(j) be the second derivative of -j**8/2240 + j**5/60 - j**4/6 - j. Let s(u) be the third derivative of a(u). What is the first derivative of s(v) wrt v?
-9*v**2
Let q(l) be the third derivative of -7/6*l**3 + 0*l - 1/3*l**4 + 5*l**2 + 0. Differentiate q(p) wrt p.
-8
Let q(p) = -p + 1. Let o(l) = -2*l + 2. Let u(d) = o(d) - 10*q(d). What is the derivative of u(k) wrt k?
8
Find the third derivative of -3*a + 2*a**2 + 3*a - 5*a**3 wrt a.
-30
Let g(h) = -h**3 - h + 1. Let i(o) = 12*o**3 + 11*o - 15. Let j(m) = 22*g(m) + 2*i(m). Differentiate j(t) with respect to t.
6*t**2
Find the second derivative of m + 9*m**3 - 2*m + 0*m - 2*m wrt m.
54*m
Let i(s) be the second derivative of -7*s**5/20 - 3*s**3/2 + 4*s. Find the second derivative of i(p) wrt p.
-42*p
Let f(l) = 2*l + 13*l**3 + l - 5*l**3 + 5*l. Let b(q) = 17*q**3 + 17*q. Let c(s) = 6*b(s) - 13*f(s). What is the second derivative of c(d) wrt d?
-12*d
Let v(z) be the second derivative of 13*z**4/6 + 9*z**3/2 - 47*z. Find the second derivative of v(j) wrt j.
52
Let y be (6 - -1 - 3) + 0. What is the third derivative of 2*w**2 + 9*w**3 - w**2 - y*w**2 wrt w?
54
Let o(c) be the second derivative of 1/4*c**4 + 1/42*c**7 + 0*c**6 + 0 - 2*c + 