*a**6 - 20*a**6 + 8*a**2 wrt a?
-4320*a**3
Let k(y) = y**2 - 9*y + 21. Let h(f) = 4*f**2 - 36*f + 85. Let x(j) = -2*h(j) + 9*k(j). Differentiate x(g) with respect to g.
2*g - 9
Let k be 3*(1 + 2/(-6)). What is the third derivative of -k*t**6 + t**6 + 2*t**2 + 2*t**6 wrt t?
120*t**3
Let j(i) = -i**4 - i**3 - i**2 - i. Let n(f) = f**4 + 3*f**3 + 3*f**2 - 6*f - 22. Let a(b) = 3*j(b) + n(b). What is the first derivative of a(o) wrt o?
-8*o**3 - 9
Find the second derivative of 17 - 5*a - 17 - 4*a**2 wrt a.
-8
Let j(z) = 14*z - 21. Let k(t) = -1. Let c(h) = j(h) + 6*k(h). What is the first derivative of c(r) wrt r?
14
Let l(w) = -3*w**3 + w + 4. Let r be 16/20 - (-2)/10. Let k(t) = t**3 - 1. Let p(z) = r*l(z) + 4*k(z). What is the second derivative of p(x) wrt x?
6*x
Let z(n) be the first derivative of n**5/4 + n**2 + 5*n - 2. Let x(v) be the first derivative of z(v). What is the derivative of x(l) wrt l?
15*l**2
Let j = -13 - -14. Let v(l) be the first derivative of 0*l - 2/3*l**3 + 0*l**2 - 1/4*l**4 - j. What is the third derivative of v(b) wrt b?
-6
Let b(m) be the first derivative of -8*m**3/3 + 23*m - 19. What is the first derivative of b(z) wrt z?
-16*z
Let j(n) = -n**3 - n + 5. Let a be j(0). Suppose 4*s + 0*s = 4*u + 20, -a = -s - 5*u. What is the second derivative of w**2 - w**2 - w + w**s wrt w?
20*w**3
Let r be (-12)/30 + (-17)/(-5). Differentiate 2 - 8 + 4 - 6*v**r + 0*v**3 with respect to v.
-18*v**2
Differentiate 7*y**3 + 7 - 3*y**3 + 0*y**3 + 0*y**3 with respect to y.
12*y**2
Suppose -8 = -2*y - 0. Find the third derivative of 10*x**2 + x**y - 3*x**4 - 19*x**2 wrt x.
-48*x
Let d = 23 - 21. Let c(x) be the first derivative of -3 + 0*x**3 + 3/4*x**4 + 0*x**d + x. What is the first derivative of c(g) wrt g?
9*g**2
Let v(c) = -30*c**2 + 20*c - 10. Let f(k) = -k + 1. Let n(a) = -10*f(a) - v(a). What is the second derivative of n(z) wrt z?
60
Suppose 3*r - 2 = 7. Let c(d) be the second derivative of -1/15*d**6 + 0*d**2 + 1/3*d**r + 0 + 0*d**4 + 2*d + 0*d**5. Find the second derivative of c(y) wrt y.
-24*y**2
Let n be (-60)/(-9) - (-4)/(-6). What is the third derivative of -3*w**6 - 5*w**2 + w**n + w**6 + 2*w**6 wrt w?
120*w**3
What is the second derivative of 8*t + 11*t + 21*t**2 - 16*t wrt t?
42
Let o(p) = -50*p**5 - 40*p**3 - 30*p**2 - 40. Let x(s) = -s**5 - s**3 - s**2 - 1. Let j(t) = -o(t) + 40*x(t). Find the third derivative of j(w) wrt w.
600*w**2
Let s(n) be the first derivative of 3*n**4/2 - n**2 - 3*n - 58. What is the first derivative of s(x) wrt x?
18*x**2 - 2
Suppose 0 = 4*a - 6*a + 54. What is the derivative of -1 - 3*n**3 - a*n**2 + 27*n**2 wrt n?
-9*n**2
Let n(j) = -j**3 + 1. Let i(o) = -4*o**3 + 4. Let x(d) = d**2 + 6*d - 8. Let c be x(-7). Let h(r) = c*n(r) - i(r). What is the derivative of h(t) wrt t?
15*t**2
Let n(p) be the third derivative of p**7/105 - 7*p**5/60 - 17*p**2. Find the third derivative of n(y) wrt y.
48*y
Let c(a) = 79*a**4 + 5*a**3 - 5*a**2 + 65. Let u(z) = -119*z**4 - 7*z**3 + 7*z**2 - 98. Let o(v) = 7*c(v) + 5*u(v). Differentiate o(p) wrt p.
-168*p**3
Let k(r) = r**2 + 7*r - 5. Let j(u) = u**2 + 7*u - 4. Let x(w) = 5*j(w) - 4*k(w). Find the second derivative of x(v) wrt v.
2
Let p(n) = 26*n**4 + 41*n**2 - 9*n. Let t(g) = 13*g**4 + 20*g**2 - 4*g. Let o(a) = -4*p(a) + 9*t(a). Find the third derivative of o(i) wrt i.
312*i
Let j(m) be the third derivative of 0 + 6*m**2 + 1/24*m**4 + 0*m - 1/3*m**3. What is the first derivative of j(v) wrt v?
1
Let p(m) = -m**2 - 9*m. Let x(h) = 2*h + 0*h + 3*h - 10*h. Suppose 2*z - 6 - 4 = 0. Let o(s) = z*x(s) - 3*p(s). Find the second derivative of o(j) wrt j.
6
Let d(i) = -19*i**4 + 15. Let h(a) = 94*a**4 - 76. Let w(l) = -16*d(l) - 3*h(l). Find the first derivative of w(s) wrt s.
88*s**3
Let m = 4 - -1. Find the third derivative of -2*p**2 + 5*p**6 - 7*p**6 + m*p**2 wrt p.
-240*p**3
Let h(p) = 4*p**4 - 2*p**2 - 2. Let i(u) = u + 3*u**2 - u**2 - 12*u**4 + 5*u**2 + 7. Let d(k) = 7*h(k) + 2*i(k). Find the second derivative of d(v) wrt v.
48*v**2
Let h(t) = 3*t**3 + 22*t - 9. Let x(v) = -v**3 - 11*v + 4. Let z(q) = 4*h(q) + 9*x(q). Find the second derivative of z(o) wrt o.
18*o
Let l be (7 - 10) + 7/2. Let j(z) be the first derivative of 1/6*z**6 + 0*z**4 + 0*z**3 + 0*z - 2 + l*z**2 + 0*z**5. Find the second derivative of j(o) wrt o.
20*o**3
Let z(k) = -12*k**2 - 18*k + 6. Let h(d) = -13*d**2 - 19*d + 7. Let y(v) = 6*h(v) - 7*z(v). Find the second derivative of y(p) wrt p.
12
Let d(y) be the first derivative of -7*y**5/5 + 3*y**2/2 + 10. Find the second derivative of d(u) wrt u.
-84*u**2
What is the second derivative of 4*a + a**5 - a + 4*a - 4*a wrt a?
20*a**3
Let f(g) = -2*g**2 + 5. Let b be f(0). What is the second derivative of -2*t - 6*t + 2*t**4 - 2*t**4 - 7*t**b wrt t?
-140*t**3
Differentiate -6 - 3*w**2 + 4 + 1 - 4 with respect to w.
-6*w
What is the first derivative of -7*z**4 + 3*z**4 - 9*z**4 + 2 + 22*z**4 wrt z?
36*z**3
Let q(r) = -224*r**3 + 11*r**2 + 50*r - 1. Let h(u) = -45*u**3 + 2*u**2 + 10*u. Let m(s) = 11*h(s) - 2*q(s). What is the second derivative of m(g) wrt g?
-282*g
What is the second derivative of -2*t**3 - 46*t + 85*t - 43*t wrt t?
-12*t
Find the second derivative of -5*j**5 - 9*j + 3*j - 3*j**5 + 3*j**5 wrt j.
-100*j**3
Let r(n) be the second derivative of -n**7/14 - 3*n**3/2 - 3*n. What is the second derivative of r(y) wrt y?
-60*y**3
Let g(u) be the first derivative of -5*u**4/4 + 6*u**3 - 14. Find the third derivative of g(q) wrt q.
-30
Let y(u) be the first derivative of 0*u**4 + 0*u**2 + 0*u + 4 - u**3 + 0*u**5 + 1/3*u**6. Find the third derivative of y(s) wrt s.
120*s**2
Let h(v) = 4*v**2 + 1. Let a(l) be the second derivative of -l**4/12 + 4*l. Suppose 0 = -n + 4*n - 6. Let m(u) = n*h(u) + 7*a(u). Differentiate m(x) wrt x.
2*x
Find the first derivative of -2 + 13*q**2 - 10*q**3 - 13*q**2 wrt q.
-30*q**2
Suppose v + 0*w - 14 = -3*w, -3*w = -12. Find the first derivative of 0*s**2 + v + 3 - 3*s**2 - 6 wrt s.
-6*s
Let b(d) = -d**5 - d**2 + 1. Let p(x) = 2*x**5 + x**2 - 3. Let f(s) = -3*b(s) - p(s). What is the third derivative of f(u) wrt u?
60*u**2
Find the third derivative of 25*d**6 + 28*d**6 - 2*d**2 - 55*d**6 - d**2 wrt d.
-240*d**3
Let r(y) be the second derivative of y**3/2 - 6*y**2 - 20*y. What is the derivative of r(k) wrt k?
3
Let x(u) = 12*u**3 + 7*u - 7. Let b(h) = -12*h**3 - h**2 - 6*h + 6. Let c(d) = -7*b(d) - 6*x(d). What is the third derivative of c(r) wrt r?
72
Find the second derivative of -54*n**4 + 16*n**4 + 146*n**2 - 146*n**2 + 34*n wrt n.
-456*n**2
Let r(y) = y - 5. Let z be r(5). Let s(o) be the second derivative of 0*o**3 + 1/6*o**4 - 2*o + z + o**2. What is the first derivative of s(t) wrt t?
4*t
Let g(p) = 3*p**2 - 6 - 3*p + p - p. Let i(c) = 6*c**2 - 5*c - 11. Let v(m) = 11*g(m) - 6*i(m). What is the second derivative of v(x) wrt x?
-6
Suppose 3*o + 4 = -2. Let c be 0/(-3) - -1 - o. What is the second derivative of 3*b + b**c + b**3 - b wrt b?
12*b
Let n(z) = -4*z**3 - 3*z + 3. Let i(t) = t**3 - t**2 + t - 1. Let s(h) = 3*i(h) + n(h). What is the third derivative of s(f) wrt f?
-6
Let z(s) = -5*s + 3. Let i = -10 - -19. Let n(x) = 1 - 2 - 5 + i*x. Let r(j) = -3*n(j) - 5*z(j). Differentiate r(o) wrt o.
-2
Suppose 4*u - 8 = r, -3*r - 2*u = -3 - 1. Let o(v) be the second derivative of 0 + r*v**3 + 1/2*v**2 + 1/12*v**4 + 3*v. Differentiate o(a) with respect to a.
2*a
Suppose -4*i = -2*d + 10, -4*d = 3*i + 3 - 12. Find the first derivative of 3 - 4 - d - 4 - 3*p wrt p.
-3
Let l(f) = 2*f**5 + f**2 - 17*f + 2. Let g(u) = -7*u**5 - 3*u**2 + 67*u - 7. Let w(i) = 6*g(i) + 22*l(i). Find the second derivative of w(n) wrt n.
40*n**3 + 8
Let f(y) be the third derivative of y**5/3 + 7*y**3/3 - 14*y**2. Differentiate f(i) with respect to i.
40*i
Let g = 113 + -1355/12. Let y(p) be the second derivative of 0*p**2 + 0 + g*p**4 - 1/6*p**3 + p. What is the second derivative of y(c) wrt c?
2
Let v(c) be the third derivative of 0*c**6 + 0*c**4 + 0 + 3*c**2 + 1/105*c**7 - c**3 + 0*c**5 + 0*c. Differentiate v(x) wrt x.
8*x**3
Let d be (-2)/(-2) + 3/3. Suppose 2 = d*w - w. Differentiate 1 + 3*j**2 + j**3 - 3*j**w with respect to j.
3*j**2
Let n = -5 + 7. What is the first derivative of 2 - 3*z**3 + 5*z**3 + 2*z**2 - 2*z**n wrt z?
6*z**2