
Let y(w) be the second derivative of 5*w**4/12 + 11*w**2/2 - 13*w. Differentiate y(l) with respect to l.
10*l
Suppose -4*t = -3*k + 9, -3*k + 3*t = 4*t - 9. Find the third derivative of -6*i**2 - 2*i**k + 3*i**3 + 3*i**3 wrt i.
24
What is the third derivative of 20*b**2 - 2*b - 76*b**2 + 3*b**5 + 29*b**2 + 28*b**2 - 4*b**6 wrt b?
-480*b**3 + 180*b**2
Let p(g) = 4*g**2 + g - 5. Let i(u) = 5*u**2 + u - 4. Let v(f) = -5*i(f) + 4*p(f). Find the second derivative of v(q) wrt q.
-18
Let m(b) be the second derivative of b**9/504 + b**5/60 - b**2 + b. Let w(j) be the first derivative of m(j). Find the third derivative of w(q) wrt q.
120*q**3
Suppose g = 4 + 1. Find the third derivative of -a**6 - g*a + 5*a + 5*a**2 wrt a.
-120*a**3
Let k(l) be the second derivative of -l**6/6 - 3*l**3/2 - 9*l. Find the second derivative of k(t) wrt t.
-60*t**2
What is the third derivative of 3*g**2 - 24*g**6 - 4*g**2 + 3*g**2 + 3*g**2 wrt g?
-2880*g**3
Find the second derivative of -10*c**2 - 8 + 16 - 8 + 2*c wrt c.
-20
Let y(q) be the second derivative of 7*q**4/24 + q**3 - 4*q**2 - 3*q. Let j(b) be the first derivative of y(b). What is the first derivative of j(r) wrt r?
7
Let a(w) = w**3 + 2 - w**2 + 0*w**3 + w + 2*w**2. Let j be a(0). What is the first derivative of -p**4 + 3*p**4 - j + 1 wrt p?
8*p**3
Find the third derivative of 5*a + a + 61*a**3 - 36*a - 2*a**2 - 18*a wrt a.
366
What is the derivative of 214*y - 18 + 6*y**2 - 5 - 214*y wrt y?
12*y
Let w(c) = -c**2 + 5*c - 3. Let l(m) = -m - 1. Let p be l(-4). Let u be w(p). What is the derivative of -2 + a**3 + u*a**3 - 5*a**3 - 2*a**3 wrt a?
-9*a**2
Find the third derivative of 3*n**2 + 0*n**2 - n**6 + 2*n**2 + 7*n**6 wrt n.
720*n**3
Let r(y) be the second derivative of y**4/8 - y**3/6 + 3*y**2/2 + 3*y. Let v(s) be the first derivative of r(s). Find the first derivative of v(l) wrt l.
3
Let h(u) be the third derivative of u**5/6 - 7*u**3/3 - 10*u**2. Find the first derivative of h(j) wrt j.
20*j
Let p(k) be the second derivative of k**5/10 - k**2/2 + 2*k. What is the first derivative of p(b) wrt b?
6*b**2
Find the third derivative of -503*n**2 + n**4 + 499*n**2 - 5 - 18*n**4 wrt n.
-408*n
Suppose -9 + 3 = -2*w. Find the second derivative of -3 - p**3 + 2*p - 5*p + w wrt p.
-6*p
Let o(f) = f**5 - 2. Let x(p) = 4*p + 9. Let t(q) = q + 3. Let k(y) = -7*t(y) + 2*x(y). Let u(n) = 2*k(n) - 3*o(n). Find the second derivative of u(m) wrt m.
-60*m**3
Let u(b) = -33*b**2 + 9*b + 41. Let d(t) = -8*t**2 + 2*t + 10. Let q(w) = 9*d(w) - 2*u(w). What is the derivative of q(o) wrt o?
-12*o
Let l(d) be the second derivative of 0*d**6 + 1/6*d**3 + 0*d**2 + 2*d + 0 + 0*d**5 - 1/42*d**7 + 0*d**4. What is the second derivative of l(n) wrt n?
-20*n**3
Let f(l) = 9*l**4 - 3*l**2 - 9*l - 3. Let r(g) = 10*g**4 - 2*g**2 - 10*g - 2. Let i(z) = -4*f(z) + 6*r(z). Find the second derivative of i(q) wrt q.
288*q**2
Let a(t) = t**3 - t - 3. Let q(l) = 8*l**3 - 8*l - 20. Let d = -29 - -49. Let c(u) = d*a(u) - 3*q(u). Find the second derivative of c(y) wrt y.
-24*y
What is the third derivative of -39*r**2 - r**5 - 116 + 116 wrt r?
-60*r**2
Let h(a) = a**3 - 11*a + 6*a**3 - 3*a**3 + 2*a - 6. Let m(l) = -l**3 + l + 1. Let z(b) = h(b) + 6*m(b). Find the second derivative of z(n) wrt n.
-12*n
Let s(j) = -23*j + 18. Let c(a) = -22*a + 18. Let q(x) = -3*c(x) + 4*s(x). Differentiate q(g) with respect to g.
-26
Let i(t) be the first derivative of 2*t**4 + 2*t**2 + 19. What is the second derivative of i(f) wrt f?
48*f
What is the derivative of -2 - 20*p**2 + 4 + 19*p**2 wrt p?
-2*p
What is the derivative of 4*k**2 + 30 - 4*k**2 + 1176*k**4 - 1184*k**4 wrt k?
-32*k**3
Let n be (2/(-5))/((-7)/35). Find the second derivative of -12*t**n - t + 14*t**2 + 0*t wrt t.
4
Let v(p) be the third derivative of p**6/40 + p**5/20 + 5*p**2. Find the third derivative of v(i) wrt i.
18
Let n(u) be the second derivative of -u**8/2240 + u**6/360 - u**4/12 - u. Let o(h) be the third derivative of n(h). Find the second derivative of o(q) wrt q.
-18*q
Let y = -6 - -9. What is the third derivative of g**6 - 4*g**6 + y*g**2 + g**2 wrt g?
-360*g**3
What is the third derivative of 21*x**2 - 71*x**5 + 32*x**5 + 37*x**5 wrt x?
-120*x**2
Let t(z) be the first derivative of -2*z**5 - 11*z**3/3 + 4. What is the third derivative of t(a) wrt a?
-240*a
Suppose 0 = 4*m - 20, -r - 3*m + 17 = -0*m. Suppose r*u - 10 = -0*u. Find the second derivative of -2*d - 3*d - 2*d**u + 6*d wrt d.
-40*d**3
Let q(z) = 25*z - 10. Let o(a) = -1. Let y(u) = -30*o(u) - q(u). Differentiate y(j) wrt j.
-25
Let d(v) be the third derivative of -v**4/6 + v**3/6 - 2*v**2. Let w be d(-1). What is the third derivative of -w*r**2 + 0*r**5 - 2*r**5 - 2*r**5 + r**2 wrt r?
-240*r**2
Suppose -15 = -5*u - 0*u. Differentiate u - 2 - t**3 + 4*t**3 wrt t.
9*t**2
Find the second derivative of 3*c + 6*c**5 + 5*c - 18*c**5 - 3*c wrt c.
-240*c**3
Let m(b) be the second derivative of b**7/42 - b**4/6 - 5*b**2/2 - 4*b. Let j(s) be the first derivative of m(s). Find the second derivative of j(y) wrt y.
60*y**2
Let o(k) be the first derivative of 0*k**2 + 0*k**3 + 4*k + 3/5*k**5 + 1 + 0*k**4. Differentiate o(r) with respect to r.
12*r**3
Let a(h) be the first derivative of -33*h**5/5 + 5*h - 28. Differentiate a(t) wrt t.
-132*t**3
Let j(r) = 13*r**2 + 5. Let v = 1 + 0. Let c be 10*v + (4 - 5). Let h(a) = 3*a**2 + 1. Let k(i) = c*h(i) - 2*j(i). Find the first derivative of k(x) wrt x.
2*x
Let q(w) = -11*w + 40. Let u(b) = b + 2. Let z(l) = q(l) - 5*u(l). What is the first derivative of z(y) wrt y?
-16
Let r(n) be the first derivative of -3/4*n**4 + 4 + 0*n**2 + 2/3*n**3 + 0*n. Find the third derivative of r(q) wrt q.
-18
Let y(b) be the third derivative of b**4/12 - b**3/6 + b**2. Find the first derivative of y(v) wrt v.
2
Let o(r) be the first derivative of 2 - 1/2*r**4 + 0*r**2 - 7/3*r**3 + 0*r. Find the third derivative of o(q) wrt q.
-12
Let a be -2*(3 - 9/2). Find the first derivative of a*c - 3 - 4*c - 3*c wrt c.
-4
Let t = -1 + 3. Find the third derivative of -v**2 + 2*v**2 + 2*v**3 + v**3 + t*v**2 wrt v.
18
Let x(g) be the third derivative of g**6/24 + g**5/12 - 3*g**2. Find the third derivative of x(w) wrt w.
30
What is the derivative of -7*f**3 - f**4 - 15*f**3 + 6 + 9*f**3 + 0*f**4 wrt f?
-4*f**3 - 39*f**2
Let a(d) be the second derivative of d**5/60 - 5*d**4/24 + d**3/2 - 4*d. Let i(u) be the second derivative of a(u). What is the first derivative of i(v) wrt v?
2
What is the third derivative of 52*n**5 + 57*n**5 - 13*n**2 - 120*n**5 wrt n?
-660*n**2
Suppose 0*z - z + 10 = -4*m, -4*m - 28 = -4*z. What is the third derivative of 6*o**2 + o**2 + o - z*o**5 - o wrt o?
-360*o**2
Let q(w) be the second derivative of 11*w**6/30 + 4*w**2 - 10*w. Find the first derivative of q(p) wrt p.
44*p**3
Let h(j) = 5*j**2 + 9. Let c(i) = 2*i**2 + 3. Let g(u) = -8*c(u) + 3*h(u). Find the first derivative of g(s) wrt s.
-2*s
Suppose 3*s - 1 = 11. What is the second derivative of c + 0*c**3 + c - c**3 + s*c**3 wrt c?
18*c
Differentiate -4*y**3 - 2*y**3 - 2*y**3 - 5*y**3 + 30 with respect to y.
-39*y**2
Let j be (-1)/4 + (-90)/(-8). Let l = -8 + j. What is the third derivative of -2*h**3 - 2*h**2 - 2*h**l + h**3 wrt h?
-18
Let k(j) = j**2 - 1. Let i(g) be the second derivative of -g**4/2 + 2*g**2 - g. Let v(m) = i(m) + 2*k(m). What is the first derivative of v(n) wrt n?
-8*n
Let h be (0 + 0/(-1))/(-2). Suppose 0*w - 4*t = -2*w + 6, h = 5*w + t - 4. What is the second derivative of 1 + 2*l**3 - 4*l**3 + 2*l - w wrt l?
-12*l
Let x(d) = -13*d**3 - 3*d**2 - 6*d + 6. Let q(v) = -v + 1. Let z(u) = 6*q(u) - x(u). Find the third derivative of z(i) wrt i.
78
Let q(m) = 2*m - 10. Let p be q(7). Find the first derivative of -7*u**3 + p + 2 + 5*u**3 wrt u.
-6*u**2
Suppose 0 = -6*g + 2*g + 16. Suppose m + m = g. What is the third derivative of -q**4 - q + q - q**m wrt q?
-24*q
Let b(d) = -d**3 + 6*d**2 + 1. Let u be b(6). What is the derivative of -j**2 + 2 - 5 + 2 - u wrt j?
-2*j
Let z(i) be the first derivative of 1/5*i**5 + 0*i**4 - 4 + 2*i + 0*i**3 + 0*i**2. Differentiate z(d) wrt d.
4*d**3
Suppose 0*o = 2*o + 2. Let r(t) = -t**5 - t**4 - 1. Let i(v) = 4*v**5 + 6*v**4 + v + 6. Let a(u) = o*i(u) - 6*r(u). Find the second derivative of a(z) wrt z.