**2
Let f(t) be the second derivative of -t**5/15 - t**4/4 - 3*t**2/2 - 7*t. Let y(c) be the first derivative of f(c). What is the second derivative of y(n) wrt n?
-8
Let u(i) be the second derivative of i**5/5 + 2*i**3/3 - 10*i. Find the second derivative of u(t) wrt t.
24*t
Let z(t) = -t - 6. Let y be z(-5). Let u(w) = -5*w. Let h be u(y). Find the second derivative of 2*a**5 - 5*a**3 - 2*a + h*a**3 wrt a.
40*a**3
Suppose 2 = h - 2. Let k(m) = -4*m + 43. Let y be k(10). Find the third derivative of 4*q**y - 2*q**3 + h*q**2 + q**3 wrt q.
18
What is the second derivative of 1511 - 8*p**5 - p + 4*p - 1506 wrt p?
-160*p**3
Suppose -2*x - z = -10, -2*x + 2*z - z = -6. Find the first derivative of -2*u**x - 2*u**4 - 3 + 5 wrt u.
-16*u**3
Let p(r) = -7*r - 4. Let g(o) = 3*o + 2. Let u(s) = 5*g(s) + 2*p(s). Differentiate u(w) wrt w.
1
Differentiate -5 - 1 + 4*g + 1 - 2*g with respect to g.
2
Let i(z) = 16*z**2 + 52*z + 8. Let r(v) = -5*v**2 - 17*v - 3. Let u(x) = 3*i(x) + 8*r(x). What is the second derivative of u(a) wrt a?
16
Let i(n) be the second derivative of 0 - 3/2*n**2 - 3*n + 1/12*n**4 + 0*n**3. Differentiate i(b) wrt b.
2*b
Let g(d) = -13*d**3 - 3*d**2 - 3*d + 18. Let f(k) = -26*k**3 - 7*k**2 - 7*k + 37. Let y(x) = 3*f(x) - 7*g(x). Differentiate y(r) wrt r.
39*r**2
Let w(o) = -19*o**4 - 5*o**3 - 5*o - 17. Let u(n) = 28*n**4 + 7*n**3 + 7*n + 25. Let y(l) = 5*u(l) + 7*w(l). Differentiate y(k) wrt k.
28*k**3
Let w(q) be the first derivative of -q**5/5 - 19*q**4/4 + 31*q**2/2 - 53. Find the second derivative of w(t) wrt t.
-12*t**2 - 114*t
Let l(f) be the second derivative of -f**8/7 + f**4/6 + 2*f. What is the third derivative of l(x) wrt x?
-960*x**3
Let d(k) be the third derivative of 0*k**7 + 0*k**3 + 1/42*k**8 + 0 + 0*k + 0*k**6 + 1/8*k**4 + 0*k**5 + 7*k**2. What is the second derivative of d(y) wrt y?
160*y**3
Let b(l) be the second derivative of -2*l**4/3 + 5*l**2/2 + l. Let u(k) = k**2 - 1. Let y(v) = b(v) + 3*u(v). What is the derivative of y(t) wrt t?
-10*t
Suppose 2*b = -i - 4*i - 53, 0 = -5*i + 3*b - 58. Let c = -7 - i. What is the third derivative of 3*z**4 + 3*z**2 + 3*z**2 - 4*z**2 - 5*z**c wrt z?
-48*z
Let t(w) = 61*w**2 + 67*w - 5. Let z(b) = -30*b**2 - 34*b + 3. Let m(s) = 3*t(s) + 5*z(s). What is the second derivative of m(y) wrt y?
66
Suppose 3*u = -y + 5, 2*u = -u + 5*y - 25. Suppose 2*d + 4 = -4*k, 0 = 5*d + 2*k - 7*k - 20. Find the first derivative of -d*a - 1 - 1 + u wrt a.
-2
Differentiate 6 - t + t - 8*t**3 + 2*t**3 with respect to t.
-18*t**2
Let i(s) be the first derivative of 3/7*s**7 + 0*s**5 + 0*s**4 + 0*s**6 + 2*s**3 + 3 + 0*s + 0*s**2. Find the third derivative of i(q) wrt q.
360*q**3
Let b(i) be the third derivative of 0*i**4 + 1/60*i**6 + 0 + 0*i + 2*i**2 + 0*i**5 + 1/6*i**3. Differentiate b(u) wrt u.
6*u**2
Suppose 0 = 4*p, 5*u - 3*p = p - 30. Let b(a) = a**3 + 6*a**2 + 2. Let h be b(u). Find the third derivative of -z**3 + 2*z**h - 3*z**2 - z**2 wrt z.
-6
What is the third derivative of g**6 + 2*g**2 + 7*g**2 - 6*g**6 wrt g?
-600*g**3
What is the first derivative of -13 + 116*c**4 - 266*c**4 + 131*c**4 wrt c?
-76*c**3
Let x(h) = -9*h**2 - 7*h - 29. Let t(b) = -3*b**2 - 2*b - 10. Let a(f) = -7*t(f) + 2*x(f). Differentiate a(r) wrt r.
6*r
Let v(z) = 13*z**3 + 27*z**2 + 2*z + 2. Let q(t) = 13*t**3 + 28*t**2 + 3*t + 3. Let p(b) = 2*q(b) - 3*v(b). Find the third derivative of p(l) wrt l.
-78
Let s = 121 - 116. Let z(h) be the second derivative of -1/12*h**4 + 0*h**2 + 1/30*h**6 + 0*h**3 + 0 - h + 0*h**s. Find the third derivative of z(l) wrt l.
24*l
Suppose -3*l = -0*l - 9. Let s(g) = -4*g - 2. Let f(b) = -1. Let h(u) = l*f(u) + s(u). What is the first derivative of h(n) wrt n?
-4
Let j(i) = -i**4 - i**3 + i**2 + 1. Let p(k) = -6*k**5 - 3*k**4 - 3*k**3 + 3*k**2 + 6*k + 3. Let n(u) = 3*j(u) - p(u). Find the second derivative of n(x) wrt x.
120*x**3
Let f(z) be the third derivative of -z**4/12 - 2*z**3 + z**2. Let s be f(-8). Find the second derivative of b - s*b**2 + 6*b**2 + b wrt b.
4
Differentiate -2 + 2 + 12*a - 2 - 6 wrt a.
12
Suppose 2*x + x = 6. Let r(s) = 2*s + 2. Let c be r(1). Differentiate -c*h**2 - 2*h**2 + 4*h**x + 2 wrt h.
-4*h
Suppose 0 = -4*a + 3*a. What is the third derivative of o**2 + a*o**2 - 27 + 2*o**6 + 27 wrt o?
240*o**3
Suppose l + i - 16 = -3*i, -4 = l - i. What is the third derivative of -2*u**3 + u**2 + l - 4*u**3 + 0 wrt u?
-36
Let u(s) be the first derivative of 0*s + 3 - 2*s**3 + 5/2*s**2. Find the second derivative of u(j) wrt j.
-12
Let j(l) be the first derivative of -4*l**6/15 - l**4/3 + l + 3. Let z(a) be the first derivative of j(a). What is the third derivative of z(u) wrt u?
-192*u
Let z = -7 - -10. Differentiate 3 + 11*y**z - 4*y**3 - 4 wrt y.
21*y**2
Let o(y) be the second derivative of 5*y**3/3 - 13*y**2 + 10*y. What is the first derivative of o(f) wrt f?
10
Let z(b) = -4*b - 3. Let q(m) = 1. Let k(f) = 6*q(f) + z(f). What is the derivative of k(x) wrt x?
-4
Let u = -8 + 13. Let a(n) be the first derivative of 0*n - 1 + n**2 + 0*n**4 + 3/5*n**u + 0*n**3. Find the second derivative of a(f) wrt f.
36*f**2
Suppose 10*a - 9*a = 0. Differentiate -u + 4*u + 5*u - 2 + a wrt u.
8
Let m(l) be the second derivative of 0*l**2 - 1/4*l**4 + 0 + 1/14*l**7 + 0*l**6 + 0*l**3 + 4*l + 0*l**5. What is the third derivative of m(r) wrt r?
180*r**2
What is the derivative of 13*q**3 - 51 + 2052*q - 2052*q wrt q?
39*q**2
Suppose -4*l = -9*l + 5. Differentiate -1 - 1 + 5 + 2*h - l wrt h.
2
Let t(v) be the third derivative of 5*v**8/168 + 11*v**4/24 + 13*v**2. What is the second derivative of t(k) wrt k?
200*k**3
Let i be 4/14 - (-36)/21. Suppose -2*x = -i - 8. Find the second derivative of -5*t**3 - 3*t**4 + 4*t + 0*t**3 + x*t**3 wrt t.
-36*t**2
Let z(l) be the third derivative of -13*l**8/168 - l**7/210 - 21*l**5/20 - 9*l**2 - l. Find the third derivative of z(b) wrt b.
-1560*b**2 - 24*b
Suppose f + 5*r + 20 = -4*f, -4*r - 25 = -5*f. What is the derivative of 1 + n**4 + f + n**4 wrt n?
8*n**3
Suppose 2*q = -8, -l = 4*l + 4*q - 19. Suppose 0 = -4*m + 5 + l. Differentiate -v + v + m + 2*v + v wrt v.
3
Let s(u) be the first derivative of -8*u**5/5 - 3*u**3 + 12. Find the third derivative of s(q) wrt q.
-192*q
Let z(v) = -3*v + 6. Let g be z(2). Let b(d) be the second derivative of -d - 1/6*d**3 + 0 + 1/12*d**4 + g*d**2. What is the second derivative of b(m) wrt m?
2
What is the second derivative of 23*f**2 - 6*f - 16*f + 20*f - 29*f wrt f?
46
Let b(m) = -m + 11. Let z be b(8). What is the first derivative of -2*c**3 + 6 - 1 - 6*c**z wrt c?
-24*c**2
Let i(y) = -y + 1. Let s be i(1). Suppose -p + 2 = -s*p. Find the third derivative of 0*u**p - u**5 - 3*u**5 - 2*u**2 wrt u.
-240*u**2
Find the third derivative of -3*f**5 + 4*f**2 + 4*f**5 - 18*f**5 + 0*f**2 wrt f.
-1020*f**2
Let c(a) = 8*a**2 + a**3 - 2 + 4 + 8 + 0*a + a. Let m be c(-8). Find the second derivative of 4*w**2 - w**m - 2*w**2 + w wrt w.
2
Suppose -4*b + 2 = -6. What is the third derivative of -4*g**b + 33 + 2*g**5 - 33 wrt g?
120*g**2
Let g(p) be the second derivative of 5*p**8/4 + 13*p**4/3 - p + 1. What is the third derivative of g(i) wrt i?
8400*i**3
Let s be 39 + -2 + 2/(-1). Suppose -5*i + 4*o = -s, -i + 10 - 32 = 5*o. What is the second derivative of -3*w**2 + i*w**2 + 2*w - 2*w**3 wrt w?
-12*w
Let o(k) be the first derivative of -k**5/20 + k**3/3 + 7*k + 3. Let u(n) be the first derivative of o(n). What is the second derivative of u(a) wrt a?
-6*a
Let v(k) = 4*k - 3. Let n be (5 - 5) + (3 - 1). Let f be v(n). Find the second derivative of 0*w - 2*w + f*w + 0*w - w**4 wrt w.
-12*w**2
What is the first derivative of 11*a**3 - 23 + a**3 + 0*a**3 wrt a?
36*a**2
Let q be 17/2 + 6/4. Let u be 6/10 - (-34)/q. Find the second derivative of -5*k**4 + 2*k - 2*k**u + 9*k**4 wrt k.
24*k**2
Let w(h) = -48 - 3*h**4 + 4*h**4 - 2*h**4 + 47. Let j(c) = 6*c**5 + 2*c**4 - 4*c + 2. Let v(g) = j(g) + 2*w(g). Find the second derivative of v(p) wrt p.
120*p**3
Suppose 12 = i - q, -2*q + 10 = 4*i - 8. Differentiate -7*n + 0 - i - 1 + 0 with respect to n.
-7
Let u = -19 + 9. Let d be ((-12)/10)/(4/u). Find the third derivative of -t**4 + 3*t**2 - 4*t**3 + 4*t**d wrt t.
-24*t
Let c(n) = -4*n**2 + 11*n. Let a(o) = 5*o**2 - 12*o. Let v(l) = -5*a(l) - 6*c(