 z**g - 3*z + 4*z wrt z.
24*z**2
Let w(y) be the second derivative of -y**5/20 - 5*y**4/12 + 8*y. Find the third derivative of w(q) wrt q.
-6
Let d be 1 - (2 + -2 + 0). Let f = d + 1. What is the derivative of 2*t + t**3 + f - 2*t wrt t?
3*t**2
Let g(t) be the second derivative of t**5/30 - t**4/6 + t**3/6 + 3*t. Let f(p) be the second derivative of g(p). What is the derivative of f(w) wrt w?
4
Suppose 2*t - 1 = 35. Find the third derivative of -3*c**2 + 6*c**6 - t*c**6 + 5*c**6 wrt c.
-840*c**3
What is the third derivative of 1 - 1 - 436*t**5 + 29*t**2 + 468*t**5 wrt t?
1920*t**2
Let v(d) = d + 5. Let m be v(0). Suppose -m*n = -n - 8. What is the third derivative of 4*k**2 - 4*k**3 + k**3 + n*k**3 + 3*k**3 wrt k?
12
Let w(c) be the second derivative of 1/3*c**3 + 0*c**2 - 1/12*c**4 - 8*c + 0. What is the second derivative of w(q) wrt q?
-2
What is the third derivative of 174*s - 12*s**2 - 20*s**3 - 174*s wrt s?
-120
Let g(f) = 2*f**2 - 9. Let j(u) = 3*u**2 - 13. Suppose 36 = -5*c + 11. Let w = -1 - -8. Let r(x) = c*j(x) + w*g(x). Differentiate r(v) with respect to v.
-2*v
Let h(k) be the second derivative of k**4/2 + 3*k**3/2 + 19*k. What is the second derivative of h(r) wrt r?
12
Let p = 26 + -24. What is the second derivative of -s**2 - 2*s**2 + 2*s**p - 5*s**2 + 3*s wrt s?
-12
Let w(a) be the second derivative of -a**5/120 + a**4/8 + a**3/3 - 2*a. Let p(h) be the second derivative of w(h). What is the first derivative of p(t) wrt t?
-1
Let d(t) be the second derivative of 9*t**3/2 - 33*t**2/2 + 28*t. What is the first derivative of d(b) wrt b?
27
Let t(b) be the second derivative of -8*b**6/5 - b**4/12 - 12*b**2 + 40*b. What is the third derivative of t(k) wrt k?
-1152*k
What is the third derivative of 46*g**2 + 57*g**6 + 0 - 55*g**6 - 13*g**5 + 0 wrt g?
240*g**3 - 780*g**2
Let x(o) = 2*o**2 + 2*o + 3. Let b be x(-2). Differentiate -8*y**4 + 2*y**4 + 4*y**4 - b wrt y.
-8*y**3
Differentiate 0 + 7 - 45*m**3 + 49*m**3 with respect to m.
12*m**2
Let g(n) = -4*n - 2. Let o be g(-1). Let y(i) = -i**2 + 2. Let c be y(0). Find the second derivative of -d**o + c*d + d**2 + 3*d**2 wrt d.
6
What is the second derivative of 9*l**2 + 8*l**2 + 11*l**2 - 15*l wrt l?
56
Let x(a) = 7*a**2 + 4*a + 4. Let u(b) = -b**2 - b. Let j(m) = -6*u(m) - x(m). What is the derivative of j(y) wrt y?
-2*y + 2
Find the first derivative of 6 + 81*p - 20*p**3 + 3 - 81*p wrt p.
-60*p**2
Let t(m) = -7*m**4 - 9*m**2 + 18*m + 9. Let q(r) = -3*r**4 - 4*r**2 + 9*r + 4. Let b(f) = 9*q(f) - 4*t(f). What is the second derivative of b(x) wrt x?
12*x**2
Let z(b) = b**4 - b**2 + 5*b. Let c(m) = -m**4 - 6*m. Suppose 3*p - 2*p + 5 = 0. Let w(d) = p*c(d) - 6*z(d). What is the third derivative of w(j) wrt j?
-24*j
Suppose -4*a - 3*i = -i + 14, a - 2*i = -11. Let q(m) = m + 6. Let v be q(a). Differentiate -f**4 + v + 3*f**4 + 0*f**4 wrt f.
8*f**3
Find the second derivative of 3*j + 3*j**2 + 8 - 8 + 4*j**2 wrt j.
14
Find the second derivative of -17*h - 21*h**2 + 17*h - 13*h wrt h.
-42
Find the first derivative of -9*a**2 + 4 - 4 - 1 wrt a.
-18*a
Let y(c) = -14*c**3 + 32*c. Let r(z) = -42*z**3 + 95*z. Let v(d) = 6*r(d) - 17*y(d). Find the second derivative of v(j) wrt j.
-84*j
Let l = 23 - -45. Suppose 4*q - l = -0*q. What is the third derivative of -4*s**3 - q + s**2 - 3*s**2 + 17 wrt s?
-24
Let i(f) = -f + 8. Let k be i(6). What is the third derivative of 8*d**4 - d**k - 2*d**2 + 4*d**2 - 3*d**4 wrt d?
120*d
Let f(k) = -3*k - 4. Let q be f(-2). What is the second derivative of -2*n + q*n**2 + 6*n + n + n wrt n?
4
Let h(j) be the third derivative of j**7/21 - 17*j**3/6 + 4*j**2. Differentiate h(t) wrt t.
40*t**3
Let v(d) be the third derivative of d**6/90 - d**5/60 + d**3/3 + 4*d**2. Let g(f) be the first derivative of v(f). Find the second derivative of g(m) wrt m.
8
Find the third derivative of -56*m**6 + 17*m**6 + 3*m**4 + 36*m**2 - 3*m**4 wrt m.
-4680*m**3
Let t(d) be the first derivative of 0*d**4 + 0*d**2 - 3 + d**3 + 0*d**5 + 0*d - 1/3*d**6. Find the third derivative of t(m) wrt m.
-120*m**2
Let k(z) be the second derivative of -2*z + 1/6*z**4 - z**2 + 0 + 0*z**3. What is the derivative of k(d) wrt d?
4*d
Let m(d) be the second derivative of d**6/90 + 5*d**4/24 + 5*d**3/6 + 5*d. Let w(x) be the second derivative of m(x). Find the first derivative of w(o) wrt o.
8*o
Let f = -51 - -55. Let t(i) be the first derivative of -1 - 2/3*i**3 + 0*i + 0*i**2 + 1/2*i**f. What is the third derivative of t(l) wrt l?
12
Let k(m) be the third derivative of -5*m**9/504 - m**5/10 + 5*m**2. What is the third derivative of k(x) wrt x?
-600*x**3
Suppose 4*z + d + 2*d = 22, 0 = 4*z - 3*d - 10. Suppose 0 = z*t - 9*t + 30. Find the second derivative of -4*k + t*k - 2*k**4 - 3*k wrt k.
-24*k**2
Let x(q) be the second derivative of q**7/630 - q**5/60 + q**4/4 + 3*q. Let o(l) be the third derivative of x(l). What is the derivative of o(b) wrt b?
8*b
Let u(i) be the first derivative of 0*i**4 + 0*i**5 - 1/6*i**6 + 3 + 0*i**3 + 0*i + 3/2*i**2. Find the second derivative of u(w) wrt w.
-20*w**3
Let h = 2 + 0. Let g = -13 + 14. Find the first derivative of -3*x**h + 2*x**2 - 2 + g wrt x.
-2*x
Let d(b) be the second derivative of 15*b**8/28 + 4*b**4/3 - 16*b. What is the third derivative of d(v) wrt v?
3600*v**3
Let y(v) be the second derivative of -5/21*v**7 + 0*v**6 + 0*v**5 - v**3 + 0 + 0*v**2 + 0*v**4 - 2*v. Find the second derivative of y(l) wrt l.
-200*l**3
Find the second derivative of -10*y**4 - 5*y + 9*y**4 + 6*y**4 wrt y.
60*y**2
Let u(t) be the third derivative of t**8/28 + t**7/105 + 2*t**5/15 + 2*t**2 - 2. What is the third derivative of u(x) wrt x?
720*x**2 + 48*x
Let v(c) be the third derivative of -7*c**5/20 - 4*c**3/3 - 25*c**2. What is the derivative of v(f) wrt f?
-42*f
Find the first derivative of -5*f**3 - 541 + 3*f**3 + 569 wrt f.
-6*f**2
What is the first derivative of 8 + 17*g**2 + g**2 + 7 + 3 wrt g?
36*g
Let j(a) = 3*a. Let p = -20 + 19. Let u(c) = -3. Let t(s) = 10. Let k(d) = 2*t(d) + 7*u(d). Let n(x) = p*j(x) + 3*k(x). What is the derivative of n(o) wrt o?
-3
Suppose -2*r + 2*j - 10 = 0, j = 3*r - j + 10. Suppose 5*f = 25, r*f - 2 = -3*n + 2*f. Find the first derivative of -a**4 + 0*a**4 - 1 + n wrt a.
-4*a**3
Let u(o) be the third derivative of 0*o**4 + 0*o**5 + 0*o**6 + 0*o + 2*o**2 - 1/3*o**3 + 0 + 1/105*o**7. Find the first derivative of u(v) wrt v.
8*v**3
Let s(i) be the first derivative of 7*i**6/120 - i**4/12 + 7*i**2/2 - 3. Let w(o) be the second derivative of s(o). What is the second derivative of w(t) wrt t?
42*t
Let f(n) = -16*n**3 + 5*n**2 - 5*n - 12. Let b(t) = -24*t**3 + 8*t**2 - 8*t - 18. Let u(h) = -5*b(h) + 8*f(h). What is the first derivative of u(l) wrt l?
-24*l**2
Let k(c) = -3*c**5 + c**2 - 2*c. Let v(i) = 12*i**5 + 13*i**5 + 17*i - 9*i**2 + 0*i. Let z(u) = 51*k(u) + 6*v(u). Find the third derivative of z(j) wrt j.
-180*j**2
Let c(d) = -7*d**2 - 4*d + 5. Let n(y) = y**2 - y. Let f(j) = -c(j) + 4*n(j). Differentiate f(r) wrt r.
22*r
Suppose -j = 5*m + 13, 4*j - 5*m - 4 = 19. What is the third derivative of -5 - 1 + 5*b**4 - 4*b**j + 6 wrt b?
120*b
Find the third derivative of 39*d**3 - 39*d**3 - 6*d**5 - 7*d**2 wrt d.
-360*d**2
Let c(i) be the second derivative of 13*i**3/6 + 13*i**2 - 13*i. Differentiate c(g) wrt g.
13
Let g(s) = 7*s**2 - 4. Suppose y - 6*y = 30. Let i(q) = 15*q**2 - 9. Let w(x) = y*i(x) + 13*g(x). Find the first derivative of w(a) wrt a.
2*a
Differentiate -5*j**2 - 14*j**2 + 6*j**2 - 10 with respect to j.
-26*j
Let h be 18/15*(-80)/(-12). Find the third derivative of -2*z**4 - 4*z**2 + h*z**2 + 3*z**2 wrt z.
-48*z
Let z be ((-2)/(-4))/((-2)/20). Let o = 7 + z. Find the second derivative of 7 + 2*h**2 + h**o - 3*h - 7 wrt h.
6
Let c(h) = 0*h**3 - 5 - 2 - 6*h**2 - 7*h + h**3. Let u(t) = 2*t**2 + 2*t + 2. Let s(m) = -2*c(m) - 7*u(m). Find the third derivative of s(f) wrt f.
-12
Let f(v) = -v**3 - 5*v**2 + v + 5. Let d(r) = -5*r - 3 + 5*r + 3*r**2. Let u(t) = -5*d(t) - 3*f(t). What is the second derivative of u(m) wrt m?
18*m
Let r(x) = x**2 - x. Let i = -1 + 2. Let u(l) = -2*l**2 + 3*l. Let f(t) = i*u(t) + 5*r(t). Find the second derivative of f(m) wrt m.
6
Let c(f) be the third derivative of -2*f**7/35 + f**5/5 - 13*f**2. Find the third derivativ