 c = 12 - 7. Let s(y) = -2*y**2 + 8*y - 5. Let a(n) = -n**2 + 4*n - 2. Let l(q) = c*a(q) - 2*s(q). What is the second derivative of l(j) wrt j?
-2
Let j(o) be the first derivative of -o**5/5 - 7*o**2 + 56*o + 56. Find the first derivative of j(q) wrt q.
-4*q**3 - 14
Suppose 7*w - 6*w - 2 = 0. Find the first derivative of -w - 5*z**3 + 2*z**3 + 6 + 2 wrt z.
-9*z**2
Let m(f) be the third derivative of 13*f**9/504 - 7*f**5/30 + 15*f**2. What is the third derivative of m(j) wrt j?
1560*j**3
What is the first derivative of 0*g**3 - 6 + 5*g**3 - 20*g**3 wrt g?
-45*g**2
Suppose -8*p = -12*p + 20. What is the third derivative of 0*m**5 - 11*m**2 + 3*m**p + 3*m**2 wrt m?
180*m**2
Let y = -20 + 33. Find the first derivative of 3*m - 8 - 3*m - y*m**4 + 7*m**4 wrt m.
-24*m**3
Find the second derivative of -4*a**4 - 7*a + 108 - 108 wrt a.
-48*a**2
What is the second derivative of -8 - q**4 + 993*q**5 + 1 - 990*q**5 - 4*q wrt q?
60*q**3 - 12*q**2
Let p(f) be the second derivative of 19*f**5/20 - f**4/6 + 9*f. Find the third derivative of p(x) wrt x.
114
Let k(s) be the second derivative of 1/3*s**3 + 1/10*s**6 + 0*s**4 + 0 + 0*s**5 + 2*s + 0*s**2. What is the second derivative of k(u) wrt u?
36*u**2
Let t be ((-12)/(-18))/((32/18)/4). Let x(s) be the second derivative of 0 - t*s**2 - s + 1/3*s**3. What is the first derivative of x(w) wrt w?
2
Let t(r) be the second derivative of 3*r**5/2 - 29*r**3/6 - 16*r. Find the second derivative of t(y) wrt y.
180*y
Let d(y) = y - 1. Let r(l) = 3*l + 1. Let j(k) = -2*d(k) + r(k). Let g be j(-3). Find the third derivative of -z**4 - z**4 + z**2 + g*z**4 wrt z.
-48*z
Let d(p) be the third derivative of -19*p**5/60 + p**3/3 + 23*p**2. Differentiate d(b) wrt b.
-38*b
Let b(q) = -2*q**4 + 13*q**3 + 50*q**2 - 4*q. Let u(h) = 3*h**4 - 13*h**3 - 50*h**2 + 5*h. Let i(w) = -5*b(w) - 4*u(w). Find the third derivative of i(z) wrt z.
-48*z - 78
Let v(g) = -g**3 + 3*g**2 - g + 4. Let f be v(3). Let i = 1 + f. What is the third derivative of -n**2 - n**2 + n**4 + 0*n**i wrt n?
24*n
Let s(y) be the third derivative of -y**6/120 - y**5/20 - y**2. What is the third derivative of s(m) wrt m?
-6
Let p be 6/(2/((-4)/(-3))). Suppose 0 = p*n - 11 - 5. What is the third derivative of n*x**4 - 6*x**4 - 2*x**2 - 2*x**4 wrt x?
-96*x
Let v(j) be the first derivative of -j**7/105 - j**5/30 + 3*j**2/2 + 2. Let q(p) be the second derivative of v(p). What is the third derivative of q(w) wrt w?
-48*w
Suppose 17 = 5*y - 0*y - m, -2*y - m + 11 = 0. What is the third derivative of -5 - y*z**2 + 3*z**2 + 5 - 3*z**6 wrt z?
-360*z**3
Suppose -20 = -2*o + 2*h, -2*o + 23 = -0*o - 5*h. Let x = o - 4. Differentiate -s**3 + 3 - x + 0 with respect to s.
-3*s**2
What is the third derivative of -356*w**2 + 378*w**2 + 17*w**6 + 25*w**6 wrt w?
5040*w**3
Let c(f) be the second derivative of -43*f**4/12 - 18*f**2 + 9*f. What is the first derivative of c(d) wrt d?
-86*d
Let t(w) be the second derivative of -w**7/42 - 4*w**3/3 + 8*w. Find the second derivative of t(d) wrt d.
-20*d**3
Suppose t - v = 0, 5 = 4*t + 3*v - 9. What is the third derivative of -3*n**3 - 2*n**t + 7*n**2 + 2*n**2 - 11*n**2 wrt n?
-18
Differentiate 2*p**2 - 6*p**2 - 6*p**2 + 8 with respect to p.
-20*p
Differentiate 18*x**2 + 0 - 10*x**2 + 4 wrt x.
16*x
Let r(w) be the second derivative of w**9/252 - w**5/20 - w**2/2 + 3*w. Let d(g) be the first derivative of r(g). Find the third derivative of d(m) wrt m.
240*m**3
Let h(p) be the first derivative of 4*p**6/3 - 4*p**2 + 12. Find the second derivative of h(g) wrt g.
160*g**3
Let x(l) be the second derivative of l**7/210 + l**4/8 + l**2/2 + 2*l. Let a(v) be the first derivative of x(v). What is the second derivative of a(g) wrt g?
12*g**2
Suppose -2*r + 2 = -3*r. Let h = 0 - r. What is the third derivative of -3*y**2 + 2*y**6 - 2*y**h + 4*y**2 wrt y?
240*y**3
Let r(p) be the second derivative of 0*p**4 + 0*p**3 + 0 - 2*p - 1/2*p**2 + 0*p**5 - 1/30*p**6. Differentiate r(u) wrt u.
-4*u**3
Let u(l) be the third derivative of -l**6/30 - l**5/12 + 3*l**2. What is the third derivative of u(w) wrt w?
-24
Find the third derivative of -x**2 - 5*x**4 + x**2 - 4*x**4 + 3*x**2 wrt x.
-216*x
Let a(h) = -h**2 + 2*h - 1. Let o be a(2). Let j(f) = -f + 1. Let p(u) = -3*u - 1. Let s(x) = o*p(x) + 2*j(x). What is the first derivative of s(m) wrt m?
1
Suppose -3*m + 6*m - 5*i - 6 = 0, 0 = 4*m - 2*i - 8. What is the third derivative of -150 + 3*q**m - 3*q**5 + 150 wrt q?
-180*q**2
Suppose 5*p + 6 = -h - 14, 5*h + 3*p - 10 = 0. What is the third derivative of -2*i**2 + i**2 + 2*i**2 - i**h wrt i?
-60*i**2
Let k(r) be the first derivative of 8*r**7/7 - 14*r**3/3 + 3. What is the third derivative of k(q) wrt q?
960*q**3
Let s(g) be the third derivative of g**9/2520 - g**5/20 + g**4/6 - 5*g**2. Let j(z) be the second derivative of s(z). What is the derivative of j(k) wrt k?
24*k**3
Suppose -5*p + 29 = 4*r - 12, -27 = -3*p - 3*r. Find the third derivative of 0*b**6 - 2*b**6 + 18*b**5 - 18*b**p - 4*b**2 wrt b.
-240*b**3
Let j(z) = 7*z**2 - 3*z. Let g(d) = 17*d + 19*d - 25*d - 28*d**2. Let o(a) = -2*g(a) - 9*j(a). What is the second derivative of o(c) wrt c?
-14
Let y(b) be the third derivative of b**7/210 + b**6/180 - b**3/2 + 5*b**2. Let i(v) be the first derivative of y(v). Find the third derivative of i(s) wrt s.
24
Let k be (-22)/(-3) + 8/12. Find the second derivative of -3*s**3 - s**3 - 5*s + k*s wrt s.
-24*s
Let o(a) = a + 12. Let m be o(-10). What is the third derivative of -2*i**2 - 4*i**2 + 2*i**3 - i**m + 7*i**3 wrt i?
54
Let w = -5 - -11. What is the third derivative of -6*d**w + 4*d + 5*d**2 - 4*d + 4*d**6 wrt d?
-240*d**3
Let p = -6 - -11. Suppose 29 = p*m + u - 0*u, -5*u = -20. Find the second derivative of -g + 3*g + g - 3*g**m wrt g.
-60*g**3
Let l(w) be the second derivative of w**3/6 - 7*w**2/2 - 5*w. Differentiate l(t) with respect to t.
1
Suppose -3*d + 3 = -y + 1, -6 = -5*d + 3*y. Differentiate -2 + 3*w**3 - w**3 + d*w**3 - 4*w**3 with respect to w.
-6*w**2
Suppose h = -3 + 1. Let t(w) = w**3 + w**2 - w - 1. Let u(v) = 2*v**3 - 2*v**2 + 2*v + 5. Let s(a) = h*t(a) - u(a). What is the first derivative of s(z) wrt z?
-12*z**2
Let x(q) be the second derivative of -7*q**3/2 - 11*q**2/2 + 10*q. Find the first derivative of x(n) wrt n.
-21
Let v(h) = h**5 - h**3 + 1. Let l(n) = -9*n**5 - 3*n**3 + 22*n + 3. Let x(w) = l(w) - 3*v(w). Find the second derivative of x(d) wrt d.
-240*d**3
Let p(r) = -5*r**4 + 3*r**3 + 3*r**2 + 7. Let i(o) = 9*o**4 - 5*o**3 - 5*o**2 - 13. Let w(l) = -3*i(l) - 5*p(l). Find the first derivative of w(x) wrt x.
-8*x**3
Let z(y) be the first derivative of 17*y**2/2 - 15*y - 11. Differentiate z(a) with respect to a.
17
Let l(v) = v**2 + 5*v - 10. Let i be l(-8). What is the third derivative of -10*t**2 - 2*t**3 + i*t**2 - 4*t**3 wrt t?
-36
Let q(r) be the first derivative of 0*r**3 + 0*r + 4 + 0*r**4 - r**2 - 2/5*r**5. What is the second derivative of q(a) wrt a?
-24*a**2
Suppose -4*r = -9*r + 10. Find the first derivative of -10*m**3 - 4 + r - 6 wrt m.
-30*m**2
Let h(d) be the first derivative of 5*d**8/336 + d**5/10 - 7*d**2/2 - 1. Let v(p) be the second derivative of h(p). Find the third derivative of v(a) wrt a.
300*a**2
Suppose 5*f - 2*f - 3 = 0, -k = 4*f - 6. Find the first derivative of 1 + k*h + 0 + 0 + 2 wrt h.
2
Let g = -4 - -4. Suppose g = 4*p - 16 - 0. What is the third derivative of 2*u**4 + u**p + u**2 - 5*u**4 wrt u?
-48*u
Let m(w) = w**4 + w**3 + w**2. Let l(r) = -5*r**4 + 5*r**3 - 4*r**2. Let s = 6 + -7. Let b(o) = s*l(o) + 5*m(o). What is the third derivative of b(j) wrt j?
240*j
What is the second derivative of -3*r**5 + 9*r**5 + 36*r - 10*r**5 wrt r?
-80*r**3
Find the second derivative of 2*n - 29*n - 19*n**2 + 6*n wrt n.
-38
Let h(t) = t**3 + t - 5. Suppose -5*c + 4 = -16. Let x(o) = -o**3 + 4. Let q(z) = c*h(z) + 5*x(z). What is the second derivative of q(n) wrt n?
-6*n
Let u(s) = 6*s**2 + 2*s + 1. Let x be u(-2). Suppose 2*w - x = -3*j, -2*j = -2*w - 0*j + 26. Find the third derivative of -w*t + 12*t + 4*t**2 + 3*t**3 wrt t.
18
Let s(i) = -i + 15. Let t be s(13). What is the second derivative of -r - 4*r**3 + r + t*r + 5*r wrt r?
-24*r
Let v = 265/6 - 44. Let m(s) be the third derivative of s**2 + 0*s - 1/12*s**4 -