o = -2 - v. Find the first derivative of -2*x - 6*x - o + 4*x + x wrt x.
-3
Let g(l) be the first derivative of 0*l**4 + 0*l**3 + 5 + 0*l + 1/2*l**2 + 6/5*l**5. Find the second derivative of g(j) wrt j.
72*j**2
Let h(u) = -4*u**3 + 4*u - 3. Let s(m) = -3*m**3 + 5*m - 4. Let g(y) = -4*h(y) + 3*s(y). Find the second derivative of g(p) wrt p.
42*p
Let s(z) be the second derivative of -7*z**6/6 + z**3/3 - 45*z. Find the second derivative of s(y) wrt y.
-420*y**2
Suppose 0 = 7*p - 6 - 15. Differentiate 0*t + 0*t + 4*t**p + 49 - 41 wrt t.
12*t**2
Differentiate -35 - 3*o**3 + 7930*o - 7930*o wrt o.
-9*o**2
Let r(l) be the first derivative of 4*l**4 - 19*l**2 - 6. What is the second derivative of r(a) wrt a?
96*a
Find the second derivative of -5*a**5 + 2*a**5 + 7*a**5 + 4*a**5 - 9*a wrt a.
160*a**3
Suppose 0 = -3*g + 6*g - 12. Suppose g*y = -4*x + 16, -8 = -2*x + x + 3*y. What is the third derivative of 2*a**5 + a**2 - 2*a**x + 2*a**5 wrt a?
120*a**2
What is the second derivative of -2020 + 12*x - 22*x**2 + 2020 wrt x?
-44
Let m be ((-3)/(-3))/(1/4). Suppose 2*t - m*b = 12, t = -2*b - 2*b - 6. Find the first derivative of 0 - 7 + 3 - g**t wrt g.
-2*g
Let y be -2 + (-9)/6*-4. Find the second derivative of 3*q**3 + y*q - 2*q + 0*q + 0*q wrt q.
18*q
Let o = 21 + -13. Let r = o - 6. Differentiate r - 1 + w + w with respect to w.
2
Let f(s) be the second derivative of 3*s**5/10 - 7*s**4/6 + 15*s. Find the third derivative of f(b) wrt b.
36
Suppose 2*d - 3*d = -4. What is the second derivative of l + 2*l**4 - 2*l - 2*l**d + l**4 wrt l?
12*l**2
Let d(y) be the first derivative of -5*y + 0*y**4 + 0*y**2 - 1 + 0*y**3 + 4/5*y**5. What is the first derivative of d(s) wrt s?
16*s**3
Let n(k) = k - 7. Let r be n(6). Let m be 1 - ((-1)/(-1))/r. Differentiate -w - m - w + 4 + 4*w with respect to w.
2
Let p(z) be the second derivative of -3*z**6/10 + 17*z**4/12 + z. What is the third derivative of p(h) wrt h?
-216*h
What is the second derivative of 2*x**2 - 6*x**2 + 2*x - 2*x + 8*x wrt x?
-8
Find the third derivative of -11*n**3 + 37*n**2 + 16*n**3 - 12*n**3 wrt n.
-42
Suppose -2 = -r + 2. What is the derivative of -7 + 9 - 2*x**2 - x**r + 2*x**2 wrt x?
-4*x**3
Let d = -10 - -16. Find the third derivative of -2*n**6 + 4*n**2 - 7*n**2 + 6*n**d wrt n.
480*n**3
What is the second derivative of 11*y - 4*y - y**5 + 19*y - 4*y wrt y?
-20*y**3
Let l(k) be the first derivative of 7*k**6/120 + k**4/8 - 3*k**2 + 1. Let g(f) be the second derivative of l(f). What is the second derivative of g(c) wrt c?
42*c
Find the third derivative of -31*z**3 + 18*z**3 + 13*z**3 + 19*z**2 + 25*z**6 wrt z.
3000*z**3
Let x(d) = -12*d**4 - 5*d**3 - 5*d**2 - 5*d + 7. Let f(z) = 13*z**4 + 6*z**3 + 6*z**2 + 6*z - 7. Let v(k) = 5*f(k) + 6*x(k). Differentiate v(l) wrt l.
-28*l**3
Let y(v) be the third derivative of 0*v + 0*v**3 + 0 + 0*v**6 - 1/60*v**5 + 11/210*v**7 - 10*v**2 + 0*v**4. Find the third derivative of y(a) wrt a.
264*a
What is the third derivative of 2*t**2 - 23*t**4 + 5*t**2 + 11*t**2 + 5*t**2 wrt t?
-552*t
Let n(g) = g**2 + g + 1. Let q(d) = -13*d**4 + 24*d**2 + 2*d + 2. Let h(k) = 2*n(k) - q(k). What is the third derivative of h(s) wrt s?
312*s
Let j(c) be the second derivative of -3/10*c**6 + 0*c**2 + 0 + 0*c**4 + 8*c + 5/6*c**3 + 0*c**5. What is the second derivative of j(f) wrt f?
-108*f**2
Let k(x) be the first derivative of 11*x**4/4 + x + 12. What is the first derivative of k(d) wrt d?
33*d**2
What is the derivative of -3*f**4 + 1 + 8*f**4 + 1 + 3*f**4 wrt f?
32*f**3
Suppose 4*l + 8 + 4 = 0, 0 = 5*z - 4*l - 12. Let s = 0 - z. What is the second derivative of -3*i**5 + i**5 + s*i**5 - i wrt i?
-40*i**3
Differentiate 3*a + 2 + 4*a + 3 wrt a.
7
Let t(y) be the second derivative of -y**8/336 - y**4/24 + 2*y**2 + 3*y. Let z(p) be the first derivative of t(p). Find the second derivative of z(i) wrt i.
-20*i**3
Suppose -12 - 8 = -4*u + o, 4*u + o = 12. What is the third derivative of 2*c**u - 4*c**4 + 7 - 7 + 8*c**2 wrt c?
-48*c
Suppose -1 = -3*h + p - 0, 0 = -5*p + 10. Differentiate 1 + 0*r + 2*r - h - 2 with respect to r.
2
Let f(o) = 10*o**3 - 2*o - 11*o + 12*o**2 + 7*o**3. Let l(c) = 8*c**3 + 6*c**2 - 6*c. Let t(b) = 6*f(b) - 13*l(b). What is the third derivative of t(j) wrt j?
-12
Let g(c) = -c**2 + 3*c. Let q(l) = -l. Let y(j) = 7*j. Let x(t) = -6*q(t) - y(t). Let w(r) = -3*g(r) - 7*x(r). Find the second derivative of w(s) wrt s.
6
Suppose 4 = 2*d - d. Let z be 7/d + 1/4. Find the second derivative of 1 + 6*i**2 - 2*i - 4*i**z - 1 wrt i.
4
What is the third derivative of -14*l**3 - 9*l**3 + 15*l**3 - 5*l**2 wrt l?
-48
Let z(n) be the first derivative of -3*n**4/4 - n**2 + 7. What is the second derivative of z(g) wrt g?
-18*g
Suppose 6*m = 5*m. Find the third derivative of -2*l**6 + 6*l**6 + m*l**2 + 5*l**2 wrt l.
480*l**3
Let t(v) = -2*v**4. Let b(k) = -4*k + 5. Let l(p) = -5*p + 6. Let n(h) = 6*b(h) - 5*l(h). Let c(j) = -3*n(j) + t(j). Find the second derivative of c(g) wrt g.
-24*g**2
Find the third derivative of -5 + f**2 + 12*f**5 + 7 - 2 wrt f.
720*f**2
Let q be -1*(-2)/16*2. Let h(m) be the first derivative of 0*m**2 + 1/3*m**3 - q*m**4 + 0*m - 2. Find the third derivative of h(v) wrt v.
-6
Let q(u) = 9*u**3 + 2*u + 25. Let p(m) = -17*m**3 - 5*m - 49. Let y(b) = -2*p(b) - 5*q(b). Differentiate y(s) with respect to s.
-33*s**2
Suppose -4*l + 7*l - 6 = 0. What is the third derivative of -4*g**2 - 2*g**2 + 3*g**2 + g**5 - l*g**5 wrt g?
-60*g**2
Suppose 3*a + 27 = 5*y + 3, 4*a = 5*y - 22. What is the third derivative of -2*o**2 + 3*o**y - 3*o**2 + 6*o**2 wrt o?
360*o**3
Let r = 2 + -1. Let a(y) be the first derivative of r + 2*y - 1/3*y**3 + 0*y**2. What is the derivative of a(c) wrt c?
-2*c
Let b(q) = 2*q**5 - 2*q. Let j(u) = 6*u**5 - 5*u. Let m(n) = -17*b(n) + 6*j(n). What is the second derivative of m(l) wrt l?
40*l**3
Suppose -17 - 11 = -14*c. Let b(l) be the second derivative of -1/5*l**5 - 3*l - l**c + 0*l**3 + 0*l**4 + 0. What is the derivative of b(d) wrt d?
-12*d**2
Let f(g) be the second derivative of g**7/42 + 7*g**4/12 - 8*g. Find the third derivative of f(w) wrt w.
60*w**2
Let z(t) be the second derivative of 2*t**3 + 8*t**2 - 27*t. What is the derivative of z(k) wrt k?
12
What is the derivative of -3*b**3 + 32 - 15*b**3 - 25 wrt b?
-54*b**2
Let d(a) be the third derivative of 5*a**4/8 + 19*a**3/6 - 14*a**2. Differentiate d(r) with respect to r.
15
Let g = -3 - -11. Let s = 13 - g. Find the second derivative of 2*b - b**s + 3*b - b**5 wrt b.
-40*b**3
Suppose -3*v + 11 - 5 = 0. What is the third derivative of 2 - 2 + 2*u**2 + u**2 + v*u**4 wrt u?
48*u
Let u(w) be the first derivative of -7*w**3/3 + 7*w**2/2 + 11. What is the second derivative of u(m) wrt m?
-14
Let u = 7 + -4. Suppose -u*k + 106 = 19. Find the second derivative of k - 3*v - v**2 - 29 wrt v.
-2
Let r(u) be the first derivative of -u**5/5 + 5*u**4/2 - 20*u**3 - 32. What is the third derivative of r(q) wrt q?
-24*q + 60
Let k(o) be the second derivative of 0 + 0*o**2 + 2/3*o**3 + 4*o - 1/3*o**4. What is the second derivative of k(j) wrt j?
-8
Suppose -2*p + 3*p = -1. Let s = 2 - p. What is the third derivative of g**6 - 2*g**2 + s*g**2 + g**2 wrt g?
120*g**3
Let v be 6*((-10)/(-4))/5. Suppose -3*k - 2*j = -13, v*k + 5*j - 24 = -5. What is the first derivative of -3*c + 2 + k*c + c**4 wrt c?
4*c**3
Let f(d) be the first derivative of d**8/112 - d**4/12 + d**2/2 + 4. Let q(k) be the second derivative of f(k). What is the second derivative of q(a) wrt a?
60*a**3
Let n be 2/4 + 65/(-10). Let s = n + 9. What is the second derivative of -2*k**4 - k**3 + k**s - 2*k wrt k?
-24*k**2
Suppose -5*b + 50 = -5*q, 0 = -2*b + q - 0*q + 22. Suppose -4*m = -0 - b. What is the derivative of m*s**2 - 6*s**2 - s**2 + 2 wrt s?
-8*s
Let c(u) be the third derivative of 0 + 0*u**6 + 0*u**3 + 1/24*u**4 + 1/42*u**7 + 0*u**5 + 2*u**2 + 0*u. Find the second derivative of c(j) wrt j.
60*j**2
What is the derivative of 31 + 28 + 31 - 93 - 19*z wrt z?
-19
Suppose 4*x + 13 + 35 = 0. Let v be (-12)/(-5) - x/(-30). Find the third derivative of 14*d**2 - v*d**5 - 2*d**5 - 18*d**2 wrt d.
-240*d**2
Suppose v = -3*u - 5, 7*v - 2*v - 30 = -4*u. Let j be ((-3)/5)/((-2)/v). What is the derivative of -j*s**2 + 2 + 3*s**2 + 0 + s**2 wrt s?
2