he first derivative of -b**6/6 - b**4/12 - 3*b + 6. Let y(o) be the first derivative of q(o). What is the third derivative of y(c) wrt c?
-120*c
Let v(h) = 2*h + 2. Let l be v(0). Find the third derivative of x**5 + 0*x**2 - x**5 - 2*x**l + 2*x**6 wrt x.
240*x**3
Suppose -2*b - 12 = -2*u, -5*b - 5 = 5. What is the second derivative of -9*m + 3*m**u + 2*m**4 + 4*m wrt m?
60*m**2
Find the third derivative of 36*c**2 - 3*c**4 - 315*c + 315*c wrt c.
-72*c
Suppose 11*j = 16*j. Let r(b) be the second derivative of 1/12*b**4 - 2*b + 0*b**2 + j + 1/6*b**3. Find the second derivative of r(v) wrt v.
2
Let a(i) be the first derivative of 3*i**4 - 11*i - 13. What is the derivative of a(r) wrt r?
36*r**2
Let i(a) be the second derivative of 26*a**3/3 + 47*a**2/2 + 16*a. Differentiate i(s) with respect to s.
52
Let d(z) be the third derivative of 0*z + 0*z**3 - 1/12*z**5 + 5*z**2 - 5/24*z**4 + 0. Find the second derivative of d(y) wrt y.
-10
Let d(b) = 12*b**5 + 9*b**4 + 64*b**2. Let s(y) = -3*y**5 - 2*y**4 - 16*y**2. Let z(f) = 2*d(f) + 9*s(f). What is the third derivative of z(p) wrt p?
-180*p**2
Let z(n) be the first derivative of -n**4/2 + 41*n + 21. What is the first derivative of z(r) wrt r?
-6*r**2
Let g(l) = l**5 + l**4 + 1. Let h = -2 - 3. Let n(i) = 2*i**5 + i**4 + i + 1. Let u(j) = h*g(j) + 5*n(j). Find the second derivative of u(w) wrt w.
100*w**3
Let a(b) = b**2 + 3*b - 5. Let t(p) = -p**3 - 4*p**2 + 5*p - 5. Let g be t(-5). Let z be a(g). What is the second derivative of 0*y - 2*y + y + y**z wrt y?
20*y**3
Let l(t) be the first derivative of 9*t**7/7 + 5*t**3 - 20. What is the third derivative of l(j) wrt j?
1080*j**3
Let m(r) be the first derivative of r**8/420 - r**6/90 - 2*r**3/3 + 1. Let w(j) be the third derivative of m(j). What is the third derivative of w(y) wrt y?
96*y
Let b(j) = 17*j**3 + 8*j**2 + 18*j. Let t(s) = -6*s**3 - 3*s**2 - 6*s. Let u(w) = -3*b(w) - 8*t(w). Find the second derivative of u(i) wrt i.
-18*i
Let n(i) = i**3 + 4*i**2 - 2*i - 6. Let m be n(-4). Find the third derivative of 3*u**3 + m*u - 2*u + u**2 wrt u.
18
Let b(n) be the second derivative of -n**7/42 - n**4/4 - 6*n. Find the third derivative of b(d) wrt d.
-60*d**2
Find the third derivative of 5*p**6 + 5*p**2 - 15*p**6 + 8*p**6 wrt p.
-240*p**3
Let o(n) = -n**4 - n**3 + n**2 + n - 1. Let i(g) = -21*g**4 - 4*g**3 + 5*g**2 + 4*g - 4. Let z(r) = i(r) - 4*o(r). Find the third derivative of z(x) wrt x.
-408*x
Let t(m) be the second derivative of -m**8/840 + m**5/40 + m**3/3 - 2*m. Let f(v) be the second derivative of t(v). Find the second derivative of f(k) wrt k.
-24*k**2
What is the second derivative of 4*j - 20*j**2 - 11*j**2 + 29*j wrt j?
-62
Let d(g) = -g + 1. Let t(u) = 4*u**3 - u**2 + 7*u - 7. Let r(i) = -35*d(i) - 5*t(i). Find the third derivative of r(w) wrt w.
-120
Let t(l) = -9*l**4 - 6*l**2 + 10*l - 6. Let y(i) = 18*i**4 + 11*i**2 - 19*i + 11. Let z(c) = -11*t(c) - 6*y(c). What is the second derivative of z(m) wrt m?
-108*m**2
Let k(n) = -19*n**2 - 13*n + 11. Let f = -6 + 12. Let b(l) = -10*l**2 - 7*l + 6. Let h(j) = f*k(j) - 11*b(j). What is the second derivative of h(w) wrt w?
-8
What is the third derivative of 8*o**6 - 2*o**6 - 4*o**6 + 3*o**6 + 2*o**2 wrt o?
600*o**3
Let d(c) be the third derivative of -3*c**7/70 - 17*c**5/60 + 7*c**2. Find the third derivative of d(p) wrt p.
-216*p
Let c(a) = -a**3 + a**2 - 1. Let m(q) = 13*q**3 - 5*q**2 + 2. Let k(o) = 10*c(o) + 2*m(o). What is the derivative of k(w) wrt w?
48*w**2
Let u(k) = -19. Let i(a) = a - 39. Let t(j) = -3*i(j) + 7*u(j). Let q(v) = 2*v - 3 - 2 - 3*v. Let g(d) = -7*q(d) + 2*t(d). Differentiate g(f) wrt f.
1
Let j be 6*(-2)/4 - -4. Let r(p) = 5*p**3 - 2*p + 1. Let y be r(j). Find the second derivative of -y*v**3 - 2*v - 5*v**3 - 2*v + 5*v**3 wrt v.
-24*v
Let n(q) = 10*q**4 + 4*q**2 + 4*q + 4. Let g(c) = 21*c**4 + 9*c**2 + 7*c + 9. Let h(b) = -4*g(b) + 9*n(b). What is the second derivative of h(r) wrt r?
72*r**2
Let y(m) = -37*m - 24. Let z(a) = 75*a + 49. Let v(s) = 7*y(s) + 3*z(s). Differentiate v(l) wrt l.
-34
Suppose -5*y + 35 = -5*u, -y - 5*u - 27 = -2*y. What is the third derivative of q**2 - q**2 + 0*q**5 + y*q**2 - 4*q**5 wrt q?
-240*q**2
Let o(z) = 2*z**2 - 4*z + 2. Let i be o(2). What is the second derivative of -i*n + n**2 + 0*n + 0*n**2 wrt n?
2
Let p(b) be the second derivative of b**3/2 + 7*b**2 + 21*b. What is the derivative of p(z) wrt z?
3
Let y(x) = x**2 + 10*x + 12. Let l be y(-9). What is the second derivative of l*t - t - 2*t**2 - 4*t - t wrt t?
-4
What is the third derivative of 2*v - 32*v**3 + v**2 - 24*v**2 - 2*v wrt v?
-192
What is the third derivative of 8*b**4 - 5*b**4 + 3*b**4 - 6*b**2 wrt b?
144*b
Let d(k) = 2*k - 2. Let r be d(3). Suppose -5*w + 2*h = -9, 0 = 5*w + r*h - 3*h - 18. Find the third derivative of g - g - 2*g**4 + w*g**2 wrt g.
-48*g
Suppose -k + 0*k - 3 = 0. Let l be (2 + 5/k)*0. What is the second derivative of m**5 - 3*m + l*m + m wrt m?
20*m**3
Let r(j) = 5*j**2 - 47. Let m(d) = -d**3 - 6*d**2 + 48. Let q(n) = -5*m(n) - 6*r(n). Find the first derivative of q(k) wrt k.
15*k**2
Let z(t) = -7*t**3 - 9*t**2 + 21*t - 16. Let o(k) = -3*k**3 - 4*k**2 + 10*k - 7. Let c(y) = 9*o(y) - 4*z(y). What is the derivative of c(b) wrt b?
3*b**2 + 6
Let r(i) = 9*i + 7. Let z(v) = 14*v + 11. Let g = -5 - -10. Let u(k) = g*z(k) - 8*r(k). Differentiate u(a) wrt a.
-2
Let b(y) = -5*y + 1. Let j(c) = 6*c - 2. Let f(v) = -v + 10. Let i be f(7). Let a(s) = i*j(s) + 4*b(s). Find the first derivative of a(l) wrt l.
-2
Find the second derivative of -18*w**5 + 29*w**3 - 29*w**3 + 7*w wrt w.
-360*w**3
Let r(n) be the second derivative of 0*n**3 + 0 - 1/4*n**4 + 1/5*n**5 + 0*n**2 - 4*n. What is the third derivative of r(l) wrt l?
24
Let t(b) = -7*b**3 + 7*b**2 + 7*b + 9. Let y(g) = -4*g**3 + 3*g**2 + 3*g + 4. Let d(x) = 3*t(x) - 7*y(x). What is the first derivative of d(w) wrt w?
21*w**2
Find the second derivative of -4*t - 6*t + t + 2*t - t**2 wrt t.
-2
Suppose -b - 4*g + 1 = -7, 9 = -3*g. Suppose -4*t = t - b. Find the third derivative of -n**2 + 0*n + 0*n**2 + 3*n**t + 0*n wrt n.
72*n
Let f(x) be the third derivative of -x**7/2520 - x**6/240 + x**5/30 + 3*x**2. Let n(m) be the third derivative of f(m). Differentiate n(h) wrt h.
-2
Suppose -2*n + 5 = -x + 3, 0 = -3*x + 2*n + 2. Suppose 4*o + 2*i = 30, 5*i = -4*o + 4*i + 27. Find the third derivative of -o + 6 - 2*b**x + 2*b**6 wrt b.
240*b**3
Let k(m) be the third derivative of 7*m**2 + 0 + 1/15*m**5 + 0*m**3 + 0*m - 1/24*m**4. What is the second derivative of k(t) wrt t?
8
Let s(w) = w**5 - w**4 + w + 1. Let q(c) = 4*c**5 + 5*c**4 + 3*c - 5. Let g(k) = -q(k) - 5*s(k). What is the second derivative of g(h) wrt h?
-180*h**3
Let n(b) be the second derivative of 23*b**6/30 + 3*b**2 + 33*b. Find the first derivative of n(l) wrt l.
92*l**3
Let m(r) be the first derivative of r**6/120 - r**4/8 + r**3 - 1. Let o(l) be the third derivative of m(l). Differentiate o(j) wrt j.
6*j
Let g be (3 - 1/2)*2. Find the second derivative of -67*f**g + 63*f**5 - f - 5*f wrt f.
-80*f**3
Let g(s) be the second derivative of -3*s**6/10 + 17*s**2 + 18*s. Find the first derivative of g(d) wrt d.
-36*d**3
Let m(k) be the second derivative of 0*k**7 + 0*k**5 + 0 + 3/56*k**8 + k + 0*k**6 + 0*k**2 - 1/6*k**4 + 0*k**3. What is the third derivative of m(j) wrt j?
360*j**3
Let z(s) be the second derivative of s**7/210 - s**3 - 9*s**2/2 + 7*s. Let y(a) be the first derivative of z(a). Differentiate y(i) with respect to i.
4*i**3
What is the third derivative of 9*w**4 - 2*w**2 - 4*w**4 + w**2 wrt w?
120*w
Suppose 8 = -3*i + 29. Differentiate 7*s - i + 1 + 0*s with respect to s.
7
Let g(j) = -j**2 + j. Let n(p) = 22 - 6*p**2 - 2*p**2 + p - 22. Suppose 0 = -o - 0 + 4. Let k(d) = o*g(d) - n(d). What is the second derivative of k(s) wrt s?
8
Let v(j) be the third derivative of j**7/21 + 2*j**5/15 + 11*j**2. What is the third derivative of v(u) wrt u?
240*u
Suppose 0 = -4*d + 5*d. Find the second derivative of -2*v**2 + 3*v - 7*v + d*v**2 wrt v.
-4
Let v(q) = -11*q**2 - q. Let r(u) = -5*u**2 - u. Let s(t) = 13*r(t) - 6*v(t). What is the second derivative of s(i) wrt i?
2
Let n(w) be the third derivative of 0*w + 0*w**3 + 1/30*w**5 - w**2 + 0 + 0*w**4 - 1/60*w**6. 