Let v(w) be the second derivative of w**6/60 - w**4/12 + 3*w**2/2 + 3*w. Let b(y) be the first derivative of v(y). Find the second derivative of b(x) wrt x.
12*x
Suppose 0*c - c = -2. Suppose 12 = w + 4*a, 4*w = -2*a - 3*a + 26. What is the derivative of 3 + c*h**2 + 2 - h**2 - w wrt h?
2*h
Let x(q) = -11*q + 8. Let v(f) = -12*f + 7. Let c(p) = 5*v(p) - 6*x(p). What is the first derivative of c(w) wrt w?
6
Let i(h) be the third derivative of 13*h**7/210 + h**5/10 + 9*h**2. Find the third derivative of i(n) wrt n.
312*n
Suppose 6*s = 2*s. Suppose s = -c - c + 6. What is the third derivative of -n**3 - 4*n**2 + 2*n**c + 2*n**2 wrt n?
6
Let v(c) be the second derivative of 0 + c + 2*c**2 + 1/2*c**3. What is the first derivative of v(w) wrt w?
3
Let c = 0 - -3. Let v(z) = z**4 - 3*z**2 + z + 3. Let o(x) = 2*x**4 - 7*x**2 + 2*x + 7. Let w(j) = c*o(j) - 7*v(j). What is the second derivative of w(y) wrt y?
-12*y**2
Let w(i) = -6*i**3 - 8*i**2 + 6*i - 6. Let t(d) = 18*d**3 + 23*d**2 - 17*d + 17. Let x(m) = 6*t(m) + 17*w(m). Find the third derivative of x(v) wrt v.
36
Let q(m) = -m**4 - 4*m**3 - 10*m**2 + 4. Let j(h) = h**3 - 1. Let v(i) = 4*j(i) + q(i). What is the third derivative of v(z) wrt z?
-24*z
Let h(x) = -11*x**3 - 16*x**2 - 2. Let s(r) = 11*r**3 + 16*r**2 + 3. Let q(j) = -3*h(j) - 2*s(j). What is the third derivative of q(k) wrt k?
66
Suppose 2*z + 0*t + 6 = 4*t, 5*z = -3*t + 24. What is the derivative of -4 + z - 4*b + b wrt b?
-3
Find the second derivative of 0*o - 5*o + 3*o**4 - 2*o**4 wrt o.
12*o**2
Find the second derivative of -x**4 - 4*x + 98*x**5 + x**4 - 127*x**5 - 5 wrt x.
-580*x**3
Suppose -2*x + 24 = 4*k, -x - 4*x = -k - 5. Find the third derivative of -3*c**2 - x*c**5 + 5*c**2 - 3*c**2 wrt c.
-120*c**2
Let x be ((-4)/10)/(1/(-10)). Find the first derivative of 3 - 2*t**4 - 6 + x wrt t.
-8*t**3
What is the second derivative of 1 + 37*h**2 - 17*h - 17*h - 10*h + 25*h wrt h?
74
Let c(h) = -3*h**3 + 1. Let v be c(-1). What is the third derivative of i**4 - i**4 - 2*i**4 + 5*i**v + i**2 wrt i?
72*i
Let z(a) = -5*a**3 + 18*a**2 + 3*a - 13. Let c(m) = 9*m**3 - 36*m**2 - 5*m + 25. Let t(i) = 3*c(i) + 5*z(i). What is the first derivative of t(d) wrt d?
6*d**2 - 36*d
Find the second derivative of 11*b + 2*b**4 - 9*b**5 + 7*b**5 - b**4 + 26*b wrt b.
-40*b**3 + 12*b**2
Let p be ((-2)/4)/((-7)/84). Suppose -a - 15 = -p*a. Differentiate 17*b**3 - 1 - 15*b**a + 2 with respect to b.
6*b**2
Let v(c) be the second derivative of c**5/4 + 2*c**2 + 2*c. What is the first derivative of v(b) wrt b?
15*b**2
Let h(w) be the second derivative of 4*w + 0 + 1/6*w**4 - w**2 + 0*w**3. What is the first derivative of h(t) wrt t?
4*t
Let q(t) = t. Let u(r) = -4*r**3 - 3*r + 23. Let x(d) = 2*q(d) + u(d). Find the first derivative of x(p) wrt p.
-12*p**2 - 1
Let v = 14 - 7. Find the first derivative of -5*q**4 + 2*q**4 - v + 6 wrt q.
-12*q**3
Let c(t) be the first derivative of t**7/42 - t**5/30 + 5*t**2/2 - 3. Let m(l) be the second derivative of c(l). Find the third derivative of m(n) wrt n.
120*n
Suppose 0 = -3*l + 9 - 3. What is the first derivative of 0*c**2 - 1 + 0*c**2 - 2*c**l wrt c?
-4*c
Let u(n) be the second derivative of 1/14*n**7 - 1/12*n**4 - 2*n + 0*n**6 + 0*n**5 + 0*n**3 + 0 + 0*n**2. Find the third derivative of u(k) wrt k.
180*k**2
Differentiate 84*b**2 + 27*b**3 - 84*b**2 + 28 with respect to b.
81*b**2
Suppose -1 = k + 7. Let l = -6 - k. Find the first derivative of 19*g**3 - l + g**4 - 19*g**3 wrt g.
4*g**3
Find the third derivative of -3*a**6 + a**2 + 0*a**6 + 4*a**2 wrt a.
-360*a**3
Let b(c) be the first derivative of c**4/12 - c**2 - 3*c + 2. Let o(u) be the first derivative of b(u). What is the derivative of o(x) wrt x?
2*x
Let o(k) be the third derivative of -k**7/14 + 11*k**3/6 - 24*k**2. What is the derivative of o(p) wrt p?
-60*p**3
Suppose -4*g - 2*a = -18, -3*g - 5*a + 3*a = -15. Find the second derivative of -g + 3*r**2 + r**2 + 3 - r wrt r.
8
Let i(b) be the third derivative of b**9/7560 + b**6/240 + b**4/6 - 8*b**2. Let m(p) be the second derivative of i(p). Find the second derivative of m(a) wrt a.
24*a**2
Let w be 1/(-3) - 21/(-9). Find the first derivative of 2 + 1 - w + 8*k + 1 wrt k.
8
Let w(x) = -7*x**3 - 2*x - 2. Let i(d) = 35*d**3 + 11*d + 10. Let a(f) = -2*i(f) - 11*w(f). Differentiate a(j) wrt j.
21*j**2
Let c(q) = q**3 - 6*q + 3. Let h(k) = 2*k**3 - 11*k + 5. Let r(b) = -5*c(b) + 3*h(b). What is the second derivative of r(m) wrt m?
6*m
Suppose -6*j - 5 = -23. Let c(r) be the first derivative of -3 + 1/2*r**2 - 4/3*r**j + 0*r. Find the second derivative of c(s) wrt s.
-8
Let x(n) be the second derivative of 3*n + 0 + 0*n**3 + 0*n**4 - 1/2*n**2 + 1/5*n**5. Find the first derivative of x(s) wrt s.
12*s**2
Let i(q) = q**3 + 3*q**2 - 6*q - 6. Let f be i(-4). Find the second derivative of -2*w**2 - 6*w**2 - 9*w + 2*w**2 + w**f wrt w.
-10
Let v(f) = 3*f - 19. Let j(x) = -7 + 4 + x - 7. Let z(t) = 11*j(t) - 6*v(t). Differentiate z(l) wrt l.
-7
Let k(q) be the second derivative of q**7/21 + 13*q**3/6 + 5*q. Find the second derivative of k(p) wrt p.
40*p**3
Find the first derivative of j**3 + 0*j**3 - 9*j**3 - j**3 + 2 wrt j.
-27*j**2
Let h(u) = -u**3 - 3*u. Let b(p) = -p**3. Let s(f) = -6*b(f) + h(f). Find the second derivative of s(i) wrt i.
30*i
Let y(p) = -13*p**3 - 11*p**2 - 7*p - 7. Let h(s) = -12*s**3 - 11*s**2 - 6*s - 6. Let l(a) = 7*h(a) - 6*y(a). Find the third derivative of l(j) wrt j.
-36
Let r(n) = -31*n**4 + 2*n**3 + 2*n**2 - 2. Let g(h) = 124*h**4 - 9*h**3 - 7*h**2 + 9. Let q(t) = -2*g(t) - 9*r(t). What is the third derivative of q(p) wrt p?
744*p
Let y(k) be the first derivative of 5*k**2/2 + 10*k - 10. What is the derivative of y(t) wrt t?
5
Find the second derivative of -2*z**4 + 12*z - 38*z - 3*z**4 - 4*z**4 wrt z.
-108*z**2
Let q = 1 + 1. Let p be -3*2/(-6)*q. What is the second derivative of -m**3 - 2*m**3 - p*m + 6*m**3 wrt m?
18*m
What is the second derivative of -2*c + 0*c + 8*c**3 - 12*c**3 wrt c?
-24*c
Suppose -2*o + 9 = w, -2*w - 1 = -w. Find the second derivative of 2*s - 2*s**2 + s + o*s**2 wrt s.
6
Find the second derivative of 18*f + 6*f + 4*f + 2*f**4 + 3*f**4 wrt f.
60*f**2
Let j be 3 + 0 + (-1 - 2). Suppose -5*h - o + 4 + 10 = j, -3*h + 5 = 4*o. Find the second derivative of k - 2*k + 0*k - k**h + 5*k wrt k.
-6*k
Let d(t) be the first derivative of 0*t**4 + 8/5*t**5 + 0*t**2 - 3 - 6*t + 0*t**3. What is the first derivative of d(b) wrt b?
32*b**3
Let q(g) = g**3 + 4*g**2 - 5*g + 7. Let s be q(-5). Let j(d) = -d + 9. Let y be j(s). Differentiate m**2 + 0*m**y - 2 + 2 + 1 wrt m.
2*m
Let d(i) be the second derivative of -i**4/6 - 4*i**3/3 + 9*i**2/2 + 2*i. Let z(x) be the first derivative of d(x). What is the derivative of z(b) wrt b?
-4
Let l(y) be the third derivative of 0*y**4 + 0*y + 6*y**2 + 0 + 1/12*y**5 - 1/20*y**6 + 0*y**3. Find the third derivative of l(s) wrt s.
-36
Let q(c) = -3*c**2 + 0*c**2 + 6*c + 2*c**2 - 1. Let f be q(3). Find the first derivative of -3*w**2 + 3 - 3*w**2 + f*w**2 wrt w.
4*w
Let k(u) = -4*u + 2. Let x be k(-2). Let n(r) = -r + 12. Let o be n(x). Find the third derivative of -h**2 - o + 2 + h**6 wrt h.
120*h**3
Suppose 0*t + t - 2*u + 10 = 0, -4*t - 3*u + 15 = 0. Find the second derivative of t*w**2 - w**2 + 3*w**2 + 0*w**2 - 2*w wrt w.
4
Let z(a) be the first derivative of 2*a**5/5 + 8*a - 7. What is the derivative of z(o) wrt o?
8*o**3
Let u(b) = b**2 + 2*b - 4. Let z be u(-3). Let l = z + 4. What is the derivative of -t**l - 4 + 5 + 0 wrt t?
-3*t**2
Let n(z) = -4*z**2 + 2*z + 4. Let b = -8 - -6. Let t(j) = -5*j**2 + 3*j + 5. Let i(v) = b*t(v) + 3*n(v). Differentiate i(r) with respect to r.
-4*r
Differentiate -50*r**2 + 9*r**2 - 54 + 19 with respect to r.
-82*r
Suppose -5*s + 10 = 6*k - k, 0 = 4*s - k - 8. What is the second derivative of -3*m - 4*m**3 - m**3 - 3*m + s*m wrt m?
-30*m
Let x(n) = -3*n + 1. Let y be x(-1). Suppose 3*l - y = l. What is the third derivative of 0*z**2 - 5*z**2 - z**3 + 2*z**2 + 2*z**l wrt z?
-6
Let n(a) = 5*a**3 + a**2 - 3*a. Let t = -2 - -4. Let o(i) = 2 + t*i - 4*i**3 - 2. Let c(b) = -2*n(b) - 3*o(b). Find the third derivative of c(f) wrt f.
12
Differentiate -6 + 7*n**2 + 3*n - 9*n + 6*n wrt n.
14*n
Let n(x) be the third derivative