 1/42*m**7 + 0*m**6 + 0*m + 0*m**3 + 0*m**5. Find the second derivative of s(d) wrt d.
-60*d**2
Let k(p) be the first derivative of p**9/1008 - p**5/40 - 5*p**3/3 - 3. Let c(b) be the third derivative of k(b). What is the second derivative of c(o) wrt o?
60*o**3
Let v(p) be the second derivative of 2*p**7/105 - p**5/30 - 2*p**2 - 3*p. Let m(t) be the first derivative of v(t). What is the third derivative of m(q) wrt q?
96*q
What is the derivative of 2 + 0 - 6 - 15*d**3 wrt d?
-45*d**2
Suppose -8 + 43 = -5*c. Let g = c + 10. What is the derivative of -2*o**g - o**3 - 2*o**4 + 3*o**3 - 3 wrt o?
-8*o**3
Let y(p) be the second derivative of 5*p**3/6 + p**2 + 6*p. What is the derivative of y(t) wrt t?
5
Let u = -2 - -4. Find the third derivative of 3*h**5 + 5*h**4 + h**u - 5*h**4 wrt h.
180*h**2
Let d(a) = 17*a**3 + 2*a**2 - 2*a - 12. Let p(t) = 34*t**3 + 5*t**2 - 5*t - 24. Let y(m) = -5*d(m) + 2*p(m). Differentiate y(g) wrt g.
-51*g**2
What is the second derivative of 25*c**5 - 9*c + 3*c + 21*c wrt c?
500*c**3
Let t(h) be the first derivative of h**6/40 + h**4/24 - h**2 + 1. Let r(d) be the second derivative of t(d). What is the second derivative of r(k) wrt k?
18*k
Suppose -2*f = -5*g + 2*f + 4, 0 = -3*g + 5*f - 8. Suppose -4*v = -g - 4. Differentiate 2*k**2 + 1 + 5*k**2 - 4 - 4*k**v with respect to k.
6*k
Let d = -8 + 6. Let b = 1 - d. Find the second derivative of -2*q**3 + 2*q**3 + q - q**b wrt q.
-6*q
Let l(n) = n**4 + 3*n**3 + 44. Let h(k) = -k**4 - 3*k**3 - 43. Let b(f) = -2*h(f) - 3*l(f). Find the first derivative of b(a) wrt a.
-4*a**3 - 9*a**2
Let n(z) be the first derivative of -4*z**3/3 + 6*z + 4. Find the first derivative of n(k) wrt k.
-8*k
Let w(o) be the second derivative of -o**5/5 + 11*o**3/6 + 2*o. What is the second derivative of w(j) wrt j?
-24*j
Let q(a) = a**3 + a**2. Let y(m) = -2*m**3 + m**2 - 4*m. Let r(c) = -q(c) + y(c). Find the second derivative of r(o) wrt o.
-18*o
Let q(j) = j**4 - j**3 - j + 1. Let k(w) = -6*w**4 + w**3 + 14*w - 1. Let b(n) = 3*k(n) + 3*q(n). Find the second derivative of b(v) wrt v.
-180*v**2
Find the second derivative of 11 + s - 27*s**2 + 71*s**2 - 5*s**2 wrt s.
78
Find the second derivative of 40*y + 42*y - 84*y + 7*y**4 wrt y.
84*y**2
Let i(w) be the first derivative of w**3/3 + 14*w + 7. What is the first derivative of i(n) wrt n?
2*n
Let t(m) = -8*m + 20. Let y(c) = -9*c + 20. Let g(a) = 5*t(a) - 4*y(a). Differentiate g(i) with respect to i.
-4
Let t = 3 - 0. What is the third derivative of 3*r**2 - 3*r**2 - r**3 - 2*r**2 + 3*r**t wrt r?
12
Let j(z) = -22*z**2 - 5*z. Let w(b) = -22*b**2 - 4*b. Let p(l) = -5*j(l) + 4*w(l). Find the second derivative of p(t) wrt t.
44
Differentiate 8*c**2 - 8*c**2 - 8*c**3 - 10 with respect to c.
-24*c**2
Let g(j) = -10*j - 1. Let d be g(-1). Find the third derivative of d*i**2 - 6 + 0 + 6 - i**5 wrt i.
-60*i**2
Let s(t) be the second derivative of 5*t + 7/6*t**3 + 0*t**2 + 0*t**5 + 1/42*t**7 + 0*t**4 + 0 + 0*t**6. What is the second derivative of s(v) wrt v?
20*v**3
Let y(l) be the first derivative of l**8/560 - l**4/12 + 7*l**3/3 - 1. Let q(x) be the third derivative of y(x). What is the first derivative of q(a) wrt a?
12*a**3
Let s(l) = -l**2. Let c be (-3)/(-2)*(-7 - -5). Let x(a) = 2*a**2 - a. Let u(q) = c*x(q) - 3*s(q). What is the second derivative of u(k) wrt k?
-6
Suppose -4*n - 5 = -21. Differentiate -5 + n + 4*k**2 + 5 wrt k.
8*k
Let z(n) = n**2 - 6*n + 5. Let s be z(5). Let u be 4 - (0 + s + 0). What is the derivative of y**u + 1 + 3*y - 3*y wrt y?
4*y**3
Let x be (-24)/(-5) + 4/20. Let m = -3 + x. Find the third derivative of -m*k**2 + 3*k**2 + 0*k**2 + 2*k**3 wrt k.
12
Let s be 12/(-27)*(-3)/2. Let y(a) be the first derivative of -a**2 + 0*a - 2 + s*a**3. What is the second derivative of y(f) wrt f?
4
Suppose -12 = -5*h + 8. What is the first derivative of -3 - 2 + h + 3*j wrt j?
3
Suppose v + z - 5 + 1 = 0, -4*v = 3*z - 17. Find the first derivative of m - 8*m + 5 - 8 - v wrt m.
-7
Let f(i) be the third derivative of i**9/1008 - i**5/20 - i**3/2 + i**2. Let g(k) be the first derivative of f(k). What is the second derivative of g(y) wrt y?
60*y**3
Let m(u) be the third derivative of -7*u**5/15 - 13*u**4/8 - 28*u**2. What is the second derivative of m(g) wrt g?
-56
Suppose 0*x = -4*x. Find the second derivative of x - c + 0 + 0 + 3*c**3 wrt c.
18*c
Find the third derivative of -7*v**3 + 6*v**3 + 14*v**2 + v**3 - v**3 wrt v.
-6
Let a(r) = -r + 11. Let s be a(11). Let j(v) be the first derivative of 1/4*v**4 - 2*v + s*v**2 + 1 + 0*v**3. Find the first derivative of j(m) wrt m.
3*m**2
Let q(u) be the first derivative of -2*u**3 - 3*u**2 - 10. What is the second derivative of q(f) wrt f?
-12
Let v(g) be the third derivative of 1/40*g**6 + g**2 + 0 + 0*g**4 + 0*g - 1/60*g**5 + 0*g**3. Find the third derivative of v(t) wrt t.
18
Let b(p) be the first derivative of -p**9/504 + p**5/12 + p**2/2 + 4. Let n(z) be the second derivative of b(z). Find the third derivative of n(o) wrt o.
-120*o**3
Let o(q) be the second derivative of q**5/4 - q**4/6 + 3*q. Find the third derivative of o(i) wrt i.
30
Let j(l) be the first derivative of -3/2*l**2 + 3*l - 1. Differentiate j(k) with respect to k.
-3
Suppose -1 - 3 = -l. Suppose 4*f - l*y - 4 = 0, 10 = 3*f - f + 2*y. What is the derivative of 0*w - 4 + 0*w - w**f wrt w?
-3*w**2
Let c(o) be the second derivative of -1/3*o**3 - o + 0*o**4 + 1/10*o**5 + 0*o**2 + 0. Find the second derivative of c(s) wrt s.
12*s
Let b(w) = -w**2 + 2 - 5*w + 2*w + 1 + 2. Let t be b(-4). Differentiate 3*u**2 + 4 - t + 1 - u**2 with respect to u.
4*u
Let k(h) be the third derivative of h**2 + 0 + 0*h**4 - 1/15*h**5 + 1/30*h**6 + 0*h + 0*h**3. Find the third derivative of k(b) wrt b.
24
Let r(u) be the third derivative of u**6/24 - u**5/30 - 4*u**2. What is the third derivative of r(p) wrt p?
30
Let y(z) = 12*z**2. Let l(s) = s**3 + s**2. Let x(f) = -2*l(f) - y(f). What is the third derivative of x(q) wrt q?
-12
Let n be 2*2/(4/3). Suppose 0 = -n*d + 5*d - 8. What is the third derivative of -5*a**4 + 2*a**4 + 2*a**2 + 2*a**d wrt a?
-24*a
Let r = 4 + -6. Let c(k) = k**2 - 2*k. Let i(q) = 3*q - 1. Let z(h) = r*i(h) - 3*c(h). Find the first derivative of z(g) wrt g.
-6*g
Let o(b) be the first derivative of 2*b**2 + 22*b + 35. What is the derivative of o(h) wrt h?
4
Suppose -3*j - 23 = -5. Let m = j - -8. Find the third derivative of -2*s**2 + 2*s**3 - 2*s**2 + m*s**3 wrt s.
24
Let c(y) = -y + 9. Let s be c(7). What is the second derivative of 2*d**s + 7 - 3*d - 7 wrt d?
4
Let r(l) be the second derivative of 0*l**3 + 0 - 1/12*l**4 - 3*l - 2*l**2. What is the derivative of r(o) wrt o?
-2*o
Let n(q) = q**2 - 1. Let c(m) be the first derivative of m + 2. Let x(f) = c(f) - 4*n(f). What is the derivative of x(t) wrt t?
-8*t
Let y(a) be the first derivative of a**7/21 - a**3/2 + 3*a + 3. Let h(v) be the first derivative of y(v). What is the second derivative of h(z) wrt z?
40*z**3
What is the third derivative of 16*p**6 + 402*p**3 + 3*p**2 - 402*p**3 wrt p?
1920*p**3
Let k(x) be the first derivative of 11*x**6/6 + 13*x**2/2 + 1. What is the second derivative of k(c) wrt c?
220*c**3
Let l = -8 - 0. Let s(f) = -14*f - 14. Let b(v) = 5*v + 5. Let z(j) = l*b(j) - 3*s(j). Differentiate z(r) wrt r.
2
Let f be (3/(-3))/((-1)/5). Find the third derivative of -8*s - 4*s**f - 10*s**2 + 9*s - s wrt s.
-240*s**2
Differentiate 0*j**4 + j**4 - 37 + 1 - 38 - 2*j**3 wrt j.
4*j**3 - 6*j**2
Let i(j) = 8*j**3 - 3*j - 3. Let u(f) = -f**3 + f. Let x(k) = i(k) + 3*u(k). Find the first derivative of x(y) wrt y.
15*y**2
Let n = 34 - 31. Let t(h) be the second derivative of 1/3*h**3 - n*h - 1/12*h**4 + 0*h**2 + 0. Find the second derivative of t(x) wrt x.
-2
Suppose -2*j + 10 - 2 = 0. Let t(x) be the first derivative of 1/2*x**j + 0*x + 0*x**3 + 2 + 1/2*x**2. What is the second derivative of t(u) wrt u?
12*u
Let w = -3 - -6. Find the third derivative of -3*k**6 - 2*k**2 + w*k**2 + 0*k**2 wrt k.
-360*k**3
Let j(i) = i**2 - 4. Let l(p) = 3*p**2 - 7. Let g(s) = -5*j(s) + 2*l(s). What is the first derivative of g(d) wrt d?
2*d
Let w(m) be the second derivative of -11*m**6/30 + 3*m**4/2 - 2*m. What is the third derivative of w(p) wrt p?
-264*p
Let m(p) be the first derivativ