b(p) be the first derivative of -p**6/60 + p**4/12 + p**2/2 + 2. Let g(i) be the second derivative of b(i). What is the second derivative of g(w) wrt w?
-12*w
Let y(i) = 16*i**4 - 4*i**2 + 10*i - 3. Let q(a) = 63*a**4 - 17*a**2 + 41*a - 12. Let o(s) = 2*q(s) - 9*y(s). Find the second derivative of o(r) wrt r.
-216*r**2 + 4
Let z(m) = -6*m**2 - 31*m - 1. Let j(d) = d**2 + d + 1. Let s(c) = j(c) - z(c). What is the second derivative of s(b) wrt b?
14
Let v(j) be the second derivative of j**7/14 + j**3/2 - 4*j. What is the second derivative of v(i) wrt i?
60*i**3
Let q(w) be the second derivative of -7*w**5/20 + w**2 + 4*w. What is the first derivative of q(c) wrt c?
-21*c**2
Let n(x) be the first derivative of -x**4/2 + 3*x**3 - 3. What is the third derivative of n(c) wrt c?
-12
Let v = 5 - 3. Suppose -6 = -4*r + v*d + 2, 2*r - 10 = -2*d. Find the second derivative of 0*h**2 + 15*h - h**r + 0*h**2 - 12*h wrt h.
-6*h
What is the second derivative of -15*n**4 - 7*n**4 - 16*n**4 + 0*n + n wrt n?
-456*n**2
Let c(j) be the second derivative of 5*j**4/12 - j**2 + 4*j. Differentiate c(o) with respect to o.
10*o
Let m be 42/4 - (-2)/4. Suppose 2*o + f - 2 + 5 = 0, m = -4*o - 3*f. Find the first derivative of -3 + 7 - 3 + 3*d**4 + o wrt d.
12*d**3
Let h(v) = v**2 + 4*v + 2. Let i be h(-4). Find the third derivative of i*y**6 - 4*y**2 + y**6 + 2*y**6 - y**6 wrt y.
480*y**3
Let w(m) = 20*m - 7. Let l(p) = -13*p + 5. Let g(x) = 8*l(x) + 5*w(x). Find the first derivative of g(b) wrt b.
-4
Let y(h) be the first derivative of -h**8/336 + h**4/24 - 3*h**2/2 - 1. Let p(v) be the second derivative of y(v). What is the second derivative of p(n) wrt n?
-20*n**3
Let r(k) = -k**2 - 5*k. Let m be r(-4). Suppose 0 = -p - m*c + 18, 12 = 2*c + c. What is the second derivative of 3*t - 4*t**p + t - 3*t + t wrt t?
-8
Suppose -8 + 12 = 2*w. Let z(c) be the first derivative of -1/2*c**w - 3 + 3*c. Differentiate z(i) wrt i.
-1
Let v(a) be the first derivative of 23*a**4/4 - 55*a**2/2 + 58. What is the second derivative of v(y) wrt y?
138*y
Let k(h) be the first derivative of 0*h**4 + 0*h**2 + 0*h**5 + 5/3*h**3 - 6 + h**7 + 0*h + 0*h**6. Find the third derivative of k(s) wrt s.
840*s**3
Let d be (-7 + 1)*(-2)/4. Let z be (1 + -5)/(29 - 31). Find the second derivative of d*k**2 + 3*k - 3*k - z*k + 0*k wrt k.
6
Let y = 73/102 - -2/17. Let c(a) be the first derivative of -5/3*a**3 + 0*a**2 - 5 + 0*a**4 - y*a**6 + 0*a**5 + 0*a. Find the third derivative of c(w) wrt w.
-300*w**2
Let o = -11 - -16. Find the second derivative of -2*b - 3*b**4 + o*b**4 + 4*b wrt b.
24*b**2
Find the second derivative of -31*c**2 + 17*c**2 + 39*c**2 + 15*c wrt c.
50
Let h(y) be the first derivative of y**6/3 + 5*y**3/3 + 7. Find the third derivative of h(d) wrt d.
120*d**2
Suppose 4*x - 2*x = 3*y - 1, -2*y + x = 0. Let o be ((-2)/(-4))/(y/(-6)). What is the second derivative of 2*z**4 + 3*z - 4*z**3 + 4*z**o wrt z?
24*z**2
Let v(w) = w**4 - w**3 + w**2 - w + 1. Let x(t) = 4*t**4 + 3*t**3 - 3*t**2 + 3*t - 2. Let m(s) = -3*v(s) - x(s). Find the first derivative of m(i) wrt i.
-28*i**3
Let v = 9 + -4. Find the first derivative of 4*f + 4 + 5 - v wrt f.
4
Let c(o) be the second derivative of 0 + 0*o**2 + 3/20*o**5 + 0*o**3 - o + 1/4*o**4. Find the third derivative of c(b) wrt b.
18
Let i(v) be the second derivative of v**6/3 - v**3 + 9*v. Find the second derivative of i(y) wrt y.
120*y**2
What is the third derivative of 0*l**3 + 3*l**2 - 4*l**3 - 18*l**2 wrt l?
-24
Suppose -3 = -2*w - w, 0 = 3*r + 3*w - 78. What is the second derivative of 0*z - 25 + z + r + 7*z**5 wrt z?
140*z**3
Let v(g) be the first derivative of -43*g**6/6 + 13*g**2 + 11. Find the second derivative of v(j) wrt j.
-860*j**3
Let n(l) be the first derivative of -3*l**6/10 + 5*l**3/3 + 4*l + 4. Let i(j) be the first derivative of n(j). What is the second derivative of i(k) wrt k?
-108*k**2
Let v(k) = -37*k**4 + 7*k**2 - 20. Let y(f) = 36*f**4 - 6*f**2 + 19. Let b(i) = 6*v(i) + 7*y(i). Find the first derivative of b(t) wrt t.
120*t**3
What is the second derivative of 1 - 2*y**3 - 78*y + 65*y - 24*y**5 + 2*y**3 wrt y?
-480*y**3
Let u(f) = 3*f - 4. Let r(h) = -4*h + h + 4*h + 4 - 3*h. Let s(o) = 5*r(o) + 4*u(o). Find the first derivative of s(a) wrt a.
2
Let i(v) be the first derivative of 4/7*v**7 + 0*v**6 + 0*v**2 + 2 + 0*v**5 + 0*v**4 - v**3 + 0*v. Find the third derivative of i(d) wrt d.
480*d**3
Suppose -c - 1 = 3*w, 4*c + 3*w = -2*w + 3. Let n be (-2 - -13) + (-1 - c). Find the first derivative of -4 + m**2 - 5*m**2 + n*m**2 wrt m.
8*m
Find the third derivative of 0*h**6 + 3*h**2 - 8*h**6 + 6*h**2 wrt h.
-960*h**3
Let x be (4/6)/(4/18). Find the third derivative of 0*v**2 - 5*v**x + v**2 + 4*v**2 wrt v.
-30
Let d(j) = 8*j - 22. Let m(s) = -s + 1. Let q(u) = d(u) + 12*m(u). Differentiate q(p) with respect to p.
-4
Let q(o) = -38*o**3 + 3*o**2 - 3*o - 51. Let y(b) = -b**3 + b**2 - b + 1. Let g(x) = q(x) - 3*y(x). Find the first derivative of g(n) wrt n.
-105*n**2
Let n(d) be the first derivative of 4*d**5/5 - 10*d**2 - 22. What is the second derivative of n(j) wrt j?
48*j**2
Let c(v) be the third derivative of -v**6/30 + v**3/2 + v**2. Find the first derivative of c(s) wrt s.
-12*s**2
Let f(y) be the first derivative of 0*y**6 + 9 + 0*y**5 + 1/3*y**3 + 0*y + 0*y**4 + 0*y**2 - 5/7*y**7. Find the third derivative of f(o) wrt o.
-600*o**3
Let n(l) be the first derivative of l**5/5 - 5*l**3/3 - 5. What is the third derivative of n(s) wrt s?
24*s
Let y(v) = 2*v**3 + 3*v**2 + 3*v + 3. Let p(u) = 3*u**3 + 2*u**2 + 2*u + 3. Let o(r) = 3*p(r) - 2*y(r). Differentiate o(m) wrt m.
15*m**2
Find the second derivative of 0*s**2 + 4*s**2 - 67 + 14*s + 67 wrt s.
8
Let w be 3*(3 - (-5)/(-3)). What is the second derivative of 3*t + 2 - w*t**2 - 4 + 2 wrt t?
-8
Suppose -5*r = -0*c + c + 5, 2*c = 0. Let g = 2 - r. Find the first derivative of m**g - 2 + m**3 + 4 wrt m.
6*m**2
Let z(h) = h**3 - 6*h**2 + 13*h - 4. Let w be z(5). Find the second derivative of w*a + 0 + 0 - 40*a + 11*a**3 wrt a.
66*a
What is the derivative of -15 - 8 - 6*o + 23*o + 6 wrt o?
17
Let t = -11 + 14. What is the derivative of 8 + t - 4*v**4 - 7 wrt v?
-16*v**3
Let g(z) be the first derivative of 24*z**7/7 - 5*z**3/3 + 24. What is the third derivative of g(q) wrt q?
2880*q**3
Let z = 11 + -11. Let l(j) be the first derivative of 1/4*j**4 + 0*j**2 + z*j + 1/3*j**3 + 2. What is the third derivative of l(n) wrt n?
6
Suppose 3*j - 1 = 5. Suppose 6 - 2 = j*o. Differentiate 0*w**2 - 3*w**o + w**2 + 2 wrt w.
-4*w
Let q(s) = -8*s**2 - 6*s - 9. Let n(g) = 9*g**2 + 0*g + 0*g**2 + 10 + 6*g + g. Let b(t) = -6*n(t) - 7*q(t). What is the derivative of b(z) wrt z?
4*z
Let r = 27 - 12. What is the second derivative of r - 3*u**2 + 2*u - 15 wrt u?
-6
Find the third derivative of -150 - 13*v**2 + 9*v**3 + 150 + 17*v**3 wrt v.
156
What is the second derivative of 4*j**2 - 135*j - 10*j**2 + 169*j wrt j?
-12
Differentiate 0*o**4 - 2 - 3*o**4 + 6*o**4 + 3*o**4 wrt o.
24*o**3
Suppose 0 = h + 3*h. Suppose -3*c = -4*k - h*c, -4*k = c - 16. What is the second derivative of -m**4 + m - 11*m**k + 11*m**3 wrt m?
-12*m**2
Differentiate 31 - 34 - 4*h**4 + 15 wrt h.
-16*h**3
Find the first derivative of -18*m**3 + 12*m**4 + 18*m**3 - 6 wrt m.
48*m**3
Let s(r) be the first derivative of -r**7/7 - r**4/6 + 5*r + 10. Let y(b) be the first derivative of s(b). Find the third derivative of y(x) wrt x.
-360*x**2
Let u(n) be the second derivative of n**4/4 - 13*n**3/6 - 24*n. Find the second derivative of u(o) wrt o.
6
Let v(j) = -j**5 - j**3 - j**2. Let y(l) = -5*l**5 - 6*l**3 - 5*l**2. Let w = 7 + -6. Let c(r) = w*y(r) - 6*v(r). What is the third derivative of c(b) wrt b?
60*b**2
Let s(h) be the first derivative of h**8/560 + h**6/360 + 4*h**3/3 - 2. Let q(l) be the third derivative of s(l). Find the third derivative of q(t) wrt t.
72*t
Let x(q) = 3*q**4 + 5*q**3 + 5*q + 11. Let t(r) = -2*r**4 - 2*r**3 - 2*r - 5. Let p(n) = -5*t(n) - 2*x(n). Differentiate p(m) with respect to m.
16*m**3
Differentiate 0*h**2 + 2*h**2 + 10*h**4 - 2*h**2 + 8 with respect to h.
40*h**3
Let l(o) = 9*o - 5. Let v(u) = -10*u + 6. Let d be ((-48)/(-30))/(4/10). Let b(h) = d*v(h) + 5*l(h). What is the derivative of b(p) wrt p?
5
Suppose 0 = -2*k