z) wrt z.
-4*z
Suppose 2*x + 8 = 12. Let c(b) be the first derivative of b + x - 3/4*b**4 + 0*b**3 + 0*b**2. What is the first derivative of c(u) wrt u?
-9*u**2
Let b(r) be the third derivative of 0*r**7 + 0*r**4 + 0 - 1/168*r**8 + 0*r**6 + r**2 + 0*r - 1/60*r**5 + 0*r**3. Find the third derivative of b(n) wrt n.
-120*n**2
Let w(y) be the second derivative of -1/5*y**5 + 0 + 0*y**4 + 0*y**3 + 7*y - 7/2*y**2. Find the first derivative of w(t) wrt t.
-12*t**2
Suppose -x + 5*m = 8, -2*m + 40 = 2*x + 2*m. Suppose 3*v - x + 3 = 0. Find the third derivative of 2*g**v - g**2 + 0*g**3 + 0*g**2 wrt g.
12
Let o(h) be the third derivative of 0*h**3 + 0*h**5 + 1/42*h**7 + 0*h + 1/4*h**4 + h**2 + 0*h**6 + 0. What is the second derivative of o(j) wrt j?
60*j**2
Let p(j) be the first derivative of 4*j**6/3 + 17*j**2/2 - 4. What is the second derivative of p(t) wrt t?
160*t**3
Let r(p) = -p**2 - 8*p + 12. Let m be r(-9). Find the second derivative of -x**3 - x**m + 4*x - 4*x**3 + x wrt x.
-36*x
Suppose 5*v - 1 = 234. Let b = -27 + v. Find the second derivative of -b*t**4 + 20*t**4 - 2*t**5 - t wrt t.
-40*t**3
Let r(j) be the second derivative of -1/6*j**4 + 0*j**2 - 1/10*j**6 + 0*j**3 - 3*j + 0 + 0*j**5. What is the third derivative of r(s) wrt s?
-72*s
Let n(m) = -m**3 + 15*m**2 + 4. Let w be n(15). Find the second derivative of 9*t + 3*t**5 - 25*t**w + 25*t**4 wrt t.
60*t**3
Let b(g) be the third derivative of -2*g**6/15 + 7*g**5/30 + g**3/6 - 3*g**2 + 3*g. What is the third derivative of b(i) wrt i?
-96
Differentiate -48*q**2 - q**4 + 48*q**2 + 3 with respect to q.
-4*q**3
Find the second derivative of 54*n + 58*n + 27*n**5 - 120*n wrt n.
540*n**3
Let q = -58 + 62. Let i(h) be the second derivative of 1/10*h**6 + 0 + 3*h + 0*h**3 + 0*h**5 + h**2 + 0*h**q. What is the first derivative of i(d) wrt d?
12*d**3
Suppose 3*x - 2*d = -6*d - 14, -x - 5*d - 23 = 0. Differentiate -5*n - x*n + 3 + n wrt n.
-6
Suppose -1 - 2 = -u. Suppose 3*z - 3*t = -11 + 2, u*t = -2*z + 19. Find the third derivative of -7*l**z + 2*l**2 + l**4 + 6*l**2 wrt l.
24*l
Find the third derivative of 2*w**2 + w**2 - 11*w**6 + 18*w**6 wrt w.
840*w**3
Let p(i) be the third derivative of -i**5/15 - i**4/24 + 3*i**2. What is the second derivative of p(l) wrt l?
-8
What is the second derivative of -10*a**5 - 25*a - 8*a**5 + 8*a + 4*a**5 wrt a?
-280*a**3
Let n(c) be the second derivative of 2/3*c**3 - 4*c + 0*c**2 - 1/20*c**5 + 0 + 0*c**4. What is the second derivative of n(g) wrt g?
-6*g
What is the derivative of -2 - 2 + 8 - 2*k**4 wrt k?
-8*k**3
Let q(r) = -r**3 + r**2. Let p(b) = -2*b**4 + 5*b**3 - 5*b**2 - 2. Let j(z) = p(z) + 5*q(z). Find the first derivative of j(y) wrt y.
-8*y**3
Let j(o) = -2*o + 1. Let r(s) = -3*s + 2. Let i(u) = -4*j(u) + 3*r(u). Let n be i(0). Find the first derivative of 4*h**4 + h**4 - 3*h**4 - n wrt h.
8*h**3
Let p(n) = -15*n**3 - 53*n + 2. Let f(o) = -119*o**3 - 425*o + 17. Let c(m) = -2*f(m) + 17*p(m). Find the second derivative of c(r) wrt r.
-102*r
What is the third derivative of 31*r**4 + 3*r**2 + 10*r**6 - 31*r**4 wrt r?
1200*r**3
Let p(z) = z**2 - 5*z + 4. Let g be p(5). What is the second derivative of u + g*u**2 + 3*u - 6*u wrt u?
8
Let h(y) = -y**4 - 4*y**3 - 12*y**2 + 4*y. Let m(a) = a**4 + 3*a**3 + 12*a**2 - 3*a. Let l(c) = 3*h(c) + 4*m(c). Find the third derivative of l(o) wrt o.
24*o
Let t = 5 + -4. Let g(a) = 2*a**4 + a**2 + a + 3. Let v(c) = -c**4 - c**2 - c. Let b(i) = t*g(i) + v(i). What is the first derivative of b(q) wrt q?
4*q**3
Let z = 9 + -7. Let t = 6 - z. Find the third derivative of -4*j**4 - j**4 - 4*j**6 + 5*j**t - 3*j**2 wrt j.
-480*j**3
What is the third derivative of -19*j**3 - 4*j**6 - 11*j**2 + 19*j**3 wrt j?
-480*j**3
Let k(n) = n - 1. Let j(y) = -1. Let q(l) = 5*j(l) + k(l). Let u be q(6). Find the first derivative of -2*b + 0*b - 1 + u*b + b wrt b.
-1
Let q(b) be the third derivative of 7*b**6/60 - 7*b**5/60 - 7*b**2. What is the third derivative of q(d) wrt d?
84
Let m(g) be the third derivative of -5*g**4/12 - 14*g**3/3 + 2*g**2. What is the derivative of m(s) wrt s?
-10
Let n(r) = 7*r**5 - 11*r**2 - 2. Let q(t) = 35*t**5 - 56*t**2 - 11. Let p(l) = 11*n(l) - 2*q(l). Find the third derivative of p(a) wrt a.
420*a**2
Differentiate 26 - 8*t + 25 - 52 wrt t.
-8
Suppose 4*c + 0*c = 0. Suppose 3*h - 2*q - 14 = 2, -5*h - 4*q + 12 = c. Find the first derivative of -x**4 + 2 - 1 - x**h wrt x.
-8*x**3
Let s = -7 + 12. Find the third derivative of 3*r**6 - s*r**6 + 5*r**2 + 2*r**6 + 3*r**6 wrt r.
360*r**3
Suppose 5*a + 2 + 20 = -k, 5*a + 31 = 2*k. Differentiate k - 10*d**4 + 6*d**4 + 3 wrt d.
-16*d**3
Let n(h) be the second derivative of 0*h**5 + 0*h**2 + 1/30*h**6 + 0*h**4 + 3*h + 0 + 1/6*h**3. Find the second derivative of n(x) wrt x.
12*x**2
Let o(f) = f**3 - 10*f. Let k(j) = -j**3 - j. Let a(s) = -6*k(s) + o(s). What is the second derivative of a(v) wrt v?
42*v
Let n = 6 + -2. Suppose 17 = 5*o - 2*o + 5*t, 5*o - 16 = 4*t. Find the first derivative of 7*v**n + v**o + 4 - 3*v**4 - 2*v**4 wrt v.
12*v**3
Let b(x) be the second derivative of 4*x**8/7 + 3*x**4/2 - 22*x. What is the third derivative of b(p) wrt p?
3840*p**3
Let o(v) be the third derivative of 1/60*v**5 - 1/120*v**6 + 0 + 0*v**3 + 0*v + 0*v**4 - v**2. Find the third derivative of o(j) wrt j.
-6
Let d(a) be the second derivative of a**6/180 + a**5/40 - a**3/6 + 3*a. Let g(i) be the second derivative of d(i). Find the second derivative of g(s) wrt s.
4
What is the second derivative of -2*u + 1448*u**2 - 1448*u**2 - 25*u**3 wrt u?
-150*u
Let q be 3/1 - 0/(-1). Suppose 6 = 4*v - 6. What is the first derivative of 2 - 3 - u**3 + v*u**q wrt u?
6*u**2
What is the second derivative of -6*y + 47*y**2 + 3945 - 3945 wrt y?
94
Let z(x) be the third derivative of -x**8/168 - 5*x**4/12 - 16*x**2. What is the second derivative of z(m) wrt m?
-40*m**3
What is the second derivative of 30*o**4 - 24*o - 22 + 10 + 14 wrt o?
360*o**2
Let u(l) = -10*l**5 + 29*l. Let m(n) = -3*n**5 + 10*n. Let p(d) = 8*m(d) - 3*u(d). Find the second derivative of p(z) wrt z.
120*z**3
What is the second derivative of 0*m - 17*m**5 - 5*m - 13*m wrt m?
-340*m**3
Suppose 0 = 5*r + 1 - 11. Suppose -r*w = w - 6. Differentiate 0 + 1 + 0 - w*s wrt s.
-2
Let b(g) be the second derivative of 25*g**4/12 - 11*g**3/3 - g. What is the second derivative of b(w) wrt w?
50
Let n(a) = 2*a**2 + 3*a - 4. Let q(i) = 3*i**2 + 5*i - 7. Let k(v) = -10*n(v) + 6*q(v). What is the first derivative of k(m) wrt m?
-4*m
Suppose -2*l = -4*d + 6, d = 2*d + 3*l - 12. What is the third derivative of -6*g**2 - 15*g**4 + 19*g**4 - d*g**3 + 3*g**3 wrt g?
96*g
Let b(r) be the first derivative of -5*r**8/56 + 3*r**4/4 + 7*r + 4. Let w(o) be the first derivative of b(o). Find the third derivative of w(s) wrt s.
-600*s**3
Suppose 4 = 4*h + 4*l, -l = 4*h - h - 9. Let d = -2 + h. Differentiate -5*y**d + 5*y**2 - 2 + 0 + 3*y**3 wrt y.
9*y**2
What is the second derivative of -609 + 3*l - 13*l**4 - 19*l**4 + 606 wrt l?
-384*l**2
Let t(c) be the second derivative of -c**6/30 + 7*c**4/12 + 7*c. What is the third derivative of t(r) wrt r?
-24*r
Let m = 5 + -4. Let h(f) = f + 2*f + 3 - m - 3*f**2 + f**3. Let s(z) = z**2 - z - 1. Let w(g) = -h(g) - 3*s(g). What is the first derivative of w(q) wrt q?
-3*q**2
Let v be (0 - (-1 + -1)) + -2. Suppose -9 + v = -3*t. What is the third derivative of -q**2 + q**4 - q**t + q**3 wrt q?
24*q
Let i(h) be the second derivative of -h**6/30 + h**3 - 6*h. Find the second derivative of i(t) wrt t.
-12*t**2
Suppose -2 = 2*r - 4. Let w = r + 1. Find the third derivative of w*s**6 - s**2 + s**2 - 2*s**2 wrt s.
240*s**3
Let o(r) = -r**3 - 3*r**2 - 4*r - 2. Let k be o(-2). Suppose -s + 2 + k = 0. Find the third derivative of 0*x**2 + x**2 - 2*x**s - 4*x**2 wrt x.
-48*x
Let b(c) be the first derivative of -c**2 + 0*c**3 - 1/6*c**6 + 0*c**5 + 0*c + 0*c**4 + 3. What is the second derivative of b(p) wrt p?
-20*p**3
Let y(h) = -27*h**2 + h + 15. Let w(s) = -82*s**2 + 3*s + 44. Let g(r) = 6*w(r) - 17*y(r). Find the second derivative of g(z) wrt z.
-66
Let z(x) = -29*x**3 - 30*x**2 - 3*x. Let j(c) = 28*c**3 + 30*c**2 + 4*c. Let a(r) = 3*j(r) + 4*z(r). What is the third derivative of a(y) wrt y?
-192
Suppose 4 = -q + 2*p, 2*p + 7 = -4*q + 7*