b(o) = 48*o**2 - 38*o - 3. Let k(q) = 8*b(q) - 3*u(q). Find the second derivative of k(j) wrt j.
-96
Let u(v) = 2*v**2 + 4*v - 5. Let q = -8 - -12. Let j(i) = 22*i + 1 - 10 - 15*i + 3*i**2. Let r(h) = q*j(h) - 7*u(h). What is the derivative of r(d) wrt d?
-4*d
Let f(r) be the first derivative of r**4 + 2*r + 11. What is the derivative of f(j) wrt j?
12*j**2
Find the third derivative of 361*s**4 - 3*s**2 + 0*s**2 - 404*s**4 - 1 wrt s.
-1032*s
Differentiate 3 - 18*t**4 + 7*t**4 + 11 wrt t.
-44*t**3
Let z(f) = -f**3 + 8*f**2 + 2*f - 12. Let c be z(8). Suppose 0 = c*j - 5*j. What is the second derivative of j*o**4 + 9*o**4 - 8*o**4 + 0*o**4 - 3*o wrt o?
12*o**2
Let v(c) be the third derivative of 0*c - 4*c**2 + 0*c**6 + 0*c**5 + 1/6*c**4 + 0 + 0*c**7 - 1/112*c**8 + 0*c**3. Find the second derivative of v(y) wrt y.
-60*y**3
Let s(r) be the first derivative of 6 + 0*r**4 + 0*r**5 + 4*r**2 + 0*r**3 + 0*r - 2/3*r**6. Find the second derivative of s(d) wrt d.
-80*d**3
Let v = -26 + 32. Let k(l) = 3*l**2 + l. Let a(i) = -3*i - 3*i**2 + i - 4*i**2. Let r(u) = v*a(u) + 13*k(u). Find the second derivative of r(n) wrt n.
-6
Let t(n) = n**3 + 6*n**2 + 2*n + 9. Let i be t(-6). Let l be 9/(i/(-1))*1. Find the third derivative of -2*v**3 + 2*v**2 + 4*v**3 - v**l wrt v.
6
Let d(o) be the first derivative of o**2 - o + 11. Differentiate d(y) wrt y.
2
Suppose 3*k + 0 = 9. Let r be (9/(-6) + 2)*6. What is the derivative of 0*c**2 - 3*c**3 + 0*c**r + k + 0*c**2 wrt c?
-9*c**2
Suppose 5*n - 38 = 2*r, -3*n + 3*r - 7*r = -2. Find the second derivative of n*u - 2*u - 6*u - u**5 wrt u.
-20*u**3
Suppose l - 2*l - 1 = 0. Let c(o) = o**2 + o - 1. Let d(s) = 2*s**2 + 4*s - 7. Let r(q) = l*d(q) + 4*c(q). What is the derivative of r(h) wrt h?
4*h
Let k(w) = -4*w**3 - 2*w**2 + 5*w - 2. Let z(c) = 21*c**3 + 11*c**2 - 25*c + 11. Let b(v) = -22*k(v) - 4*z(v). Find the second derivative of b(f) wrt f.
24*f
Let p be 1/(10/4 - 2). Find the second derivative of 6*r + 3*r**2 - 3 - p*r + 3 wrt r.
6
Let s be 3/(-21) - 180/(-35). What is the second derivative of 12*m - 4*m - s*m**5 + 3*m**5 wrt m?
-40*m**3
Let i(s) be the second derivative of s**9/3780 - s**5/15 + 3*s**4/4 - 7*s. Let n(r) be the third derivative of i(r). What is the first derivative of n(w) wrt w?
16*w**3
Let c(x) be the first derivative of x**6/24 - x**3/2 - 3*x**2/2 + 2. Let l(j) be the second derivative of c(j). What is the first derivative of l(b) wrt b?
15*b**2
Let k(r) = 14*r**4 + 6*r**2 - 6*r - 16. Let y(s) = -14*s**4 - 5*s**2 + 5*s + 15. Let q(h) = 5*k(h) + 6*y(h). Differentiate q(o) wrt o.
-56*o**3
Let a(u) = 18*u**6 - 17*u**3 + 15*u**2 - 17. Let p(v) = -6*v**6 + 6*v**3 - 5*v**2 + 6. Let f(q) = -6*a(q) - 17*p(q). What is the third derivative of f(i) wrt i?
-720*i**3
Let l be -2*1*5/(-5). What is the derivative of -2 + 5*u - l - 3*u wrt u?
2
Let n be (1 + -3)*(-5)/(-5). Let y(h) = -h + 2. Let s be y(n). Find the second derivative of 0*p + 0*p + p**4 + s*p - p wrt p.
12*p**2
Suppose p = -3*p - 12. Let z be 2*(-1 - p - 1). What is the third derivative of -2*q**4 - 2*q - q + 3*q - 2*q**z wrt q?
-48*q
Let x(r) be the first derivative of 3*r**5/20 - 2*r**2 + 3*r - 1. Let j(s) be the first derivative of x(s). Find the first derivative of j(k) wrt k.
9*k**2
Let x be 4/18 - 50/(-18). What is the second derivative of 5*c + 2*c**4 - x*c - c**4 wrt c?
12*c**2
Let t(u) = -u**3 + 9*u**2 - u + 11. Let y be t(9). Let j(q) be the second derivative of 0 - q + 0*q**3 - 1/6*q**4 - q**y. What is the derivative of j(v) wrt v?
-4*v
Let m(o) = -8*o**5 - 6*o**3 + 19*o**2. Let y(c) = 9*c**5 + 5*c**3 - 18*c**2. Let i(n) = -5*m(n) - 6*y(n). Find the third derivative of i(h) wrt h.
-840*h**2
What is the first derivative of -4*n**3 + 6*n**3 - 2 + 3 wrt n?
6*n**2
Find the first derivative of 22*r**2 - 2 - 9*r**3 - 22*r**2 - 3 wrt r.
-27*r**2
Let s(l) be the third derivative of 11*l**9/504 - 2*l**5/15 + 2*l**2. Find the third derivative of s(w) wrt w.
1320*w**3
Suppose 0 = -5*v + 90 + 20. Let n = -15 + v. Find the third derivative of 3*t**6 - t**6 - 8*t**2 + n*t**2 wrt t.
240*t**3
Let c(z) be the second derivative of 1/28*z**8 + 0*z**5 + 0*z**7 + 0*z**2 + 0 + 0*z**3 - 2*z + 0*z**6 - 1/4*z**4. What is the third derivative of c(a) wrt a?
240*a**3
Suppose -7 = 5*y - 2, 5*v - 5*y - 45 = 0. Suppose 3*n - v = 13. Let z(h) = 2*h - 2. Let s(k) = 3*k - 3. Let c(r) = n*z(r) - 5*s(r). Differentiate c(t) wrt t.
-1
Let n = 12 + -4. Let u = 11 - n. Find the second derivative of o**u - 5*o**3 + 0*o**3 + o**3 + o wrt o.
-18*o
Suppose 0 = -3*t + 16 - 7. What is the derivative of -5*l**4 - 2 + 8*l**4 - 2*l**t + 2*l**3 wrt l?
12*l**3
Let r(n) be the first derivative of -n**6/15 - 5*n**3/6 - 5*n - 4. Let f(t) be the first derivative of r(t). Find the second derivative of f(b) wrt b.
-24*b**2
Let m(z) be the third derivative of 11*z**6/30 - 3*z**5/5 - z**2 - 23. Find the third derivative of m(g) wrt g.
264
Let u(b) = b**3 + 6*b**2 - 9*b - 10. Suppose -10 = 2*i, 2*w + 3*i = 9 - 38. Let j be u(w). What is the second derivative of j*z - 6*z + z**4 + 3*z wrt z?
12*z**2
Let f(l) = -l**3 - l**2 + l + 1. Let g(n) = -16*n**4 - 3*n**3 - 10*n**2 + 3*n + 3. Let z(k) = -3*f(k) + g(k). What is the third derivative of z(m) wrt m?
-384*m
What is the first derivative of -18 + 39*m**3 + 125*m - 125*m wrt m?
117*m**2
Let a = -13 - -15. Find the second derivative of 2*b + b + 3*b**2 + b**a + 3*b wrt b.
8
Let a(n) be the first derivative of -39*n**2/2 - 9*n + 20. What is the first derivative of a(j) wrt j?
-39
Let h be (5/(-2) - -2)*-4. Suppose h*m - 5*m + 3 = 0. Differentiate 3*s - s**3 + m - 3*s wrt s.
-3*s**2
Suppose 0 = 2*v - 4. What is the third derivative of -2 - 4*j**v - 2 + 4 - 4*j**6 wrt j?
-480*j**3
Let v be (-4)/(-6) + 13/3. Suppose -5*s + v + 7 = -x, 4*x - 21 = -3*s. Find the second derivative of 0*c - s*c + 4*c + c**3 wrt c.
6*c
Let s(i) = 7*i**5 + 5*i**3 - 13*i + 5. Let c(t) = -3*t**5 - 2*t**3 + 6*t - 2. Let j(l) = -5*c(l) - 2*s(l). What is the second derivative of j(d) wrt d?
20*d**3
Let x = 25 - 15. Suppose -2*g = 3*g - x. What is the first derivative of 2 - w**g + 2*w**3 + w**2 wrt w?
6*w**2
Find the third derivative of -2*l**3 - 6*l**3 + 8*l**3 - 4*l**2 + l**6 wrt l.
120*l**3
Let c = -3 + 6. Find the second derivative of 0*o + 3*o + 6*o**3 - c*o**3 wrt o.
18*o
Let l(a) be the third derivative of a**8/2240 + a**5/120 + a**4/12 + a**2. Let s(g) be the second derivative of l(g). Differentiate s(f) wrt f.
9*f**2
Let z(w) be the third derivative of -1/2*w**3 - 1/12*w**4 + 0 + 0*w + 2*w**2. What is the derivative of z(g) wrt g?
-2
Find the second derivative of -17*a - 2*a - 5*a - 2*a**3 wrt a.
-12*a
Let x(w) be the first derivative of -w**10/720 + w**6/72 - 2*w**3 - 6. Let q(r) be the third derivative of x(r). Find the third derivative of q(b) wrt b.
-840*b**3
Let h(j) be the second derivative of j**6/120 + j**5/60 - 2*j**2 - 9*j. Let i(r) be the first derivative of h(r). What is the third derivative of i(f) wrt f?
6
Suppose -c = 3*o + 4 - 1, -3*o = 2*c. Find the second derivative of 4*a - 4*a**3 + a**3 + 0*a**c wrt a.
-18*a
Let z(c) be the second derivative of -c**8/112 + c**5/60 + c**2 + 3*c. Let i(a) be the first derivative of z(a). Find the third derivative of i(f) wrt f.
-180*f**2
Let f(m) be the third derivative of 23*m**6/60 + 11*m**3 - 64*m**2. Differentiate f(w) with respect to w.
138*w**2
Let h(t) = 15*t**5 + 11*t**3 + 21*t**2. Let f(u) = 5*u**5 + 4*u**3 + 7*u**2. Let d(m) = 11*f(m) - 4*h(m). What is the third derivative of d(p) wrt p?
-300*p**2
What is the second derivative of 0*o + 5*o + o**3 + 3*o**3 - 3*o**3 wrt o?
6*o
Let v = 15 + -13. Let o(m) be the first derivative of 1/3*m**3 + 0*m + m**2 - v. Find the second derivative of o(w) wrt w.
2
Let b(f) = -3*f**5 + 2*f**4 - 2*f**3 - 4*f. Let i(d) = 5*d**5 - 5*d**4 + 5*d**3 + 7*d. Let r(j) = -5*b(j) - 2*i(j). Find the second derivative of r(s) wrt s.
100*s**3
Let v(w) = 2*w - 4. Let r be v(4). Suppose t + 4*t + r = -3*p, 3*p + 4*t = -2. What is the first derivative of a**4 + 0 + 1 - p wrt a?
4*a**3
Let w(j) be the first derivative of 4*j**3 - 30*j - 48. What is the first derivative of w(u) wrt u?
24*u
Suppose 4*c + 32 = 4*d, -3*d + d + 15 = -3*c. Let f = d + -5. What is the derivative of -3*y**3 - 2*y**f + 3