**2 + 6*k - 6. Let c(z) = z**2 + 1. Let l(y) = 6*c(y) + g(y). What is the second derivative of l(f) wrt f?
22
Differentiate 9*c + 4 - 5 - 6 + 1 with respect to c.
9
What is the derivative of -1 + 5*u**4 + 2*u**4 - 6*u**4 wrt u?
4*u**3
Let h(w) = -w**3 - 7*w**2 - 6*w + 2. Let v be h(-6). Let z = 4 - v. What is the third derivative of z*d**3 + 0*d**3 + 2*d**2 - d**2 - 4*d**2 wrt d?
12
Let k(n) = 9*n - 7. Let q(z) = 10*z - 8. Let p = -14 + 20. Let m(r) = p*k(r) - 5*q(r). Differentiate m(o) with respect to o.
4
Let l(v) = 2*v**2 + 2*v - 2. Let h be l(-3). Let c be h/3 + 4/(-12). What is the derivative of 7 - c - 2*n**4 + 0*n**4 + 6*n**4 wrt n?
16*n**3
Differentiate 30 + 6*h - 59 + 18 with respect to h.
6
Let c(u) be the second derivative of 6*u**7/7 - 5*u**4/2 - 37*u. What is the third derivative of c(s) wrt s?
2160*s**2
Let a(f) be the first derivative of -19*f**6/6 - 7*f**3/3 - 15. What is the third derivative of a(o) wrt o?
-1140*o**2
Let o(v) = -4*v**3 - 3*v**2 + 3*v - 5. Let f(j) = 13*j**3 + 8*j**2 - 8*j + 14. Let u(k) = 3*f(k) + 8*o(k). Differentiate u(x) wrt x.
21*x**2
Suppose a = -4*a - 30. Let l be ((-6)/4)/3*a. Differentiate -3 - 3*f**3 + 5*f**3 - f**l with respect to f.
3*f**2
Let z be 4/(-18) + 100/(-36). Let q(t) = t**3 + 2*t**2 - 4*t. Let v be q(z). What is the second derivative of -i - 5*i**2 + 0*i**v + 5*i**2 - 2*i**3 wrt i?
-12*i
Find the third derivative of -8*v**5 + 8*v**2 - 9*v**3 + 9*v**3 - 9*v**2 wrt v.
-480*v**2
Let j(c) be the second derivative of 1/3*c**3 + 0*c**4 + 0*c**5 + 3*c + 0*c**2 + 1/30*c**6 + 0. What is the second derivative of j(t) wrt t?
12*t**2
Let t(w) = w + 2. Let m(a) = -16*a**2 - 4*a - 43. Let o(k) = -m(k) - t(k). Differentiate o(x) with respect to x.
32*x + 3
Let p(v) be the third derivative of -1/168*v**8 + 1/60*v**5 - v**2 + 0*v + 0*v**6 + 0*v**7 + 0 + 0*v**3 + 0*v**4. Find the third derivative of p(c) wrt c.
-120*c**2
Suppose -5 = -5*z + 55. Find the third derivative of -3*q**6 - z*q**2 + 14*q**2 + 0*q**6 wrt q.
-360*q**3
Let j(u) = 5*u**5 - u**3 + 36*u**2 - 3*u. Let r(o) = 16*o**5 - 4*o**3 + 109*o**2 - 8*o. Let h(a) = 8*j(a) - 3*r(a). What is the third derivative of h(v) wrt v?
-480*v**2 + 24
Let f(d) be the third derivative of -d**5/20 + d**4/12 + 7*d**2. Find the second derivative of f(a) wrt a.
-6
Let l(i) = -i**3 - i**2 + i - 1. Let m(y) = -y**3 - 3*y**2 + 3*y. Let o(w) = -6*l(w) + 2*m(w). What is the derivative of o(h) wrt h?
12*h**2
Let t(d) = -d**3 + 4*d**2 - 3*d + 1. Let m be t(3). Let s be m - 1 - 2*-1. Find the third derivative of 0*h**4 + 13*h**2 - 12*h**2 + s*h**4 wrt h.
48*h
Let t(g) = -10*g**2 + 1 - 4*g + 33*g**2 - 15*g**2. Let y(o) = o**2 + o + 1. Let x(h) = t(h) - y(h). Find the second derivative of x(u) wrt u.
14
Let f = -48 - -51. Let b(u) be the first derivative of 3/2*u**2 - f - 3*u. Differentiate b(y) with respect to y.
3
Let l(w) be the first derivative of -w**6/6 - 3*w**2 - 3. Find the second derivative of l(c) wrt c.
-20*c**3
Let b(x) be the second derivative of x**6/40 - x**3 + x**2 + 6*x. Let o(g) be the first derivative of b(g). Differentiate o(q) with respect to q.
9*q**2
Let v(x) = x**3 - x**2 + x - 1. Let p(z) = 15*z**3 + 14*z**2 + 3*z - 3. Let w(h) = -p(h) + 3*v(h). What is the third derivative of w(s) wrt s?
-72
Suppose -4*p = -3 - 13. What is the first derivative of -4 + 0 + 0 - p*m wrt m?
-4
Let q(x) be the third derivative of 17*x**7/210 - x**4/3 - 2*x**2. Find the second derivative of q(h) wrt h.
204*h**2
Let p(t) = -t**2. Let u(l) = -l**3 + 5*l**2 + 7*l - 9. Let v be u(6). Let m(h) = -h**2 - 1. Let s(y) = v*p(y) + 2*m(y). Differentiate s(b) wrt b.
2*b
Let z(f) be the first derivative of f**5 - 4*f + 11. What is the derivative of z(a) wrt a?
20*a**3
Let l be (6/(-4))/((-12)/8). Let j(o) be the first derivative of 0*o + 0*o**4 - 1/2*o**2 + l - 2/5*o**5 + 0*o**3. Find the second derivative of j(x) wrt x.
-24*x**2
Let t(w) = -21*w**2 + 3*w - 17. Let j(p) = -21*p**2 + 4*p - 16. Let l(i) = 3*j(i) - 4*t(i). What is the first derivative of l(f) wrt f?
42*f
Suppose -2*d + 17 = 3*j + 5, 15 = 5*d. What is the second derivative of -2*k**3 - j*k + 6*k**3 + 0*k**3 - 4*k wrt k?
24*k
Let m(v) = v**4 + 2*v**2 + 5*v. Let p(h) = h**4 + h. Let z(f) = m(f) - 5*p(f). Find the third derivative of z(w) wrt w.
-96*w
Find the second derivative of 10*m - 41*m**3 + 11 - 17 + 6 wrt m.
-246*m
Let t(d) be the second derivative of -4*d**6/15 + d**4/12 + 8*d. Find the third derivative of t(b) wrt b.
-192*b
Let k(d) = -10*d**3 + 7*d - 18. Let a(t) = -4*t + 14*t**3 - t - 7*t**3 + 12. Let v(g) = -7*a(g) - 5*k(g). What is the first derivative of v(r) wrt r?
3*r**2
Find the second derivative of 3*l + l - 3*l + 8*l**2 - 8*l wrt l.
16
Let z(d) = -25*d**6 - 6*d**5 - 6*d**4 - 20*d**2 + 6*d. Let u(s) = s**6 + s**5 + s**4 - s. Let m(x) = -6*u(x) - z(x). Find the third derivative of m(f) wrt f.
2280*f**3
Suppose 0*r - 3*r = 0. Suppose -5 = 5*s - 30. Find the second derivative of 0*p**5 + r*p**s + p - p**5 wrt p.
-20*p**3
Suppose 5*j - 30 = a, 19 = 3*j + a + 1. Find the third derivative of 5*d**6 - d**j - d**2 + 3*d**6 + 2*d**2 wrt d.
840*d**3
Find the first derivative of -1 - 4 + 0*b**3 - 13*b**3 - 2*b**3 wrt b.
-45*b**2
Let h(o) = -4*o - 1. Let r be h(-1). What is the second derivative of -r*a**4 + 2*a**4 - 13*a + 10*a wrt a?
-12*a**2
Let c = -6 + 8. Find the second derivative of -c*v**3 - 3 + 3 + 3*v wrt v.
-12*v
Let g(a) be the second derivative of 0*a**6 + 0*a**5 + 0*a**4 + 0*a**2 - 1/42*a**7 + 0 - 4*a - 2/3*a**3. What is the second derivative of g(s) wrt s?
-20*s**3
Find the second derivative of -6*a**5 - 5*a**5 + 15*a**5 - 4*a - 9*a**5 wrt a.
-100*a**3
Let s(c) = 8*c**4 - 11*c**3 - 11*c**2 - 12. Let u(p) = 4*p**4 - 6*p**3 - 6*p**2 - 6. Let d(h) = 6*s(h) - 11*u(h). Differentiate d(t) with respect to t.
16*t**3
Find the third derivative of 15*z**5 + 3707*z**3 + 42*z**2 - 3707*z**3 wrt z.
900*z**2
Let d(m) be the second derivative of m**7/280 - m**5/30 - m**3/3 - 2*m. Let l(t) be the second derivative of d(t). What is the second derivative of l(q) wrt q?
18*q
Let i(r) = -r**4. Let l(a) = -a**4 - 4. Let h = -12 - -7. Let o(m) = h*i(m) + l(m). Differentiate o(d) wrt d.
16*d**3
What is the second derivative of 1916*n**3 - 1916*n**3 - n + 10*n**4 wrt n?
120*n**2
Suppose -5*f - 18 = -10*f + 4*m, 10 = -5*m. What is the derivative of t**2 - 2 + 2*t**f - 3 + 4 wrt t?
6*t
Suppose 0 = -4*q + 2*m - 4, -2*m = -5*q - 0*m - 4. Differentiate -2*b**2 + q + 0*b**2 + 3 with respect to b.
-4*b
Suppose 0 = -2*t + 4*u + 2, -2*t - 2 = -3*u - 6. Suppose -t*s + 5 = g, 4*g + 10 = -9*s + 4*s. What is the first derivative of -3 + 4*o**s - o**2 + 0 wrt o?
6*o
Let y(z) be the third derivative of -3*z**6/20 - z**5/20 - 28*z**2. Find the third derivative of y(a) wrt a.
-108
Let c be (36/20)/((-6)/(-20)). What is the first derivative of -c*d**2 + 1 - 6 + 1 wrt d?
-12*d
Let m(u) = -u**3 + 6*u**2 - 3*u - 5. Let v be m(5). What is the third derivative of t**2 + 0 + 2*t**3 + 5 - v wrt t?
12
Let a = 85 + -19. Let s be 186/a - (-2)/11. Find the second derivative of 11*z**5 - 8*z**5 + 3*z**s - z - 3*z**3 wrt z.
60*z**3
What is the second derivative of 6*w**2 + 3 + 2 - 6 + 15*w + 18*w**2 wrt w?
48
Let c(n) be the first derivative of 4*n**3 + 2*n**2 + 2. What is the second derivative of c(d) wrt d?
24
Let b(t) = 0*t**2 - t - 4 - 5*t**3 + 0*t**2. Let u(s) = 6*s**3 + 2*s + 5. Let y(d) = 5*b(d) + 4*u(d). What is the second derivative of y(n) wrt n?
-6*n
Let s(l) = -5*l**3 - 9*l**2 - 21*l + 9. Let d(a) = 4*a**2 + a**3 + 5*a - 2*a**2 - 2 + 0. Let c(i) = -9*d(i) - 2*s(i). Find the second derivative of c(j) wrt j.
6*j
Let w = -13 + 9. Let l(r) = -r**2 - 6*r - 3. Let n be l(w). Differentiate -2 - 2 - u**4 + n with respect to u.
-4*u**3
Let c(r) be the third derivative of 5/6*r**3 + 0*r**5 + 0*r + 0 + 7*r**2 - 1/120*r**6 + 0*r**4. Differentiate c(x) wrt x.
-3*x**2
Let d(v) be the second derivative of -2*v**6/15 - v**3 - 5*v. What is the second derivative of d(t) wrt t?
-48*t**2
Let r(u) = -3*u**3 + 1 + u**3 - 4*u**3 + u + 5*u**3. Let a(c) = -5*c**3 + 6*c + 1. Let z(g) = a(g) - 6*r(g). Find the first derivative of z(h) wrt h.
3*h**2
Suppose 3*y - p - 18 = 0, -y + 0*p + 3*p = -6. What is the second derivative of -y*d + d + 2*d - 2*d**4 + 2*d wrt d?
-24*