9). Find the third derivative of -21*b**6 - 14*b - 9*b**2 + 14*b - 5*b**5 + 4*b**m wrt b.
-2520*b**3 - 60*b**2
Let h(l) be the first derivative of -l**8/1680 - 7*l**4/12 + l**3 - 16. Let y(k) be the third derivative of h(k). Differentiate y(r) wrt r.
-4*r**3
Suppose 3*g - 3*r = 6, 37 = 5*g + 6*r - 2*r. What is the third derivative of 77*n**2 - 61*n**2 - 2*n**4 - g*n**4 wrt n?
-168*n
Let z be -1 - ((-2 - -1) + -26). Let o be 27/(-45) - (-384)/15. Find the second derivative of 6*t - o*t**2 + 0*t + z*t**2 wrt t.
2
Let k(j) = j**2 + j. Let z be k(-1). Let o(a) be the first derivative of 0*a**2 + 2*a**2 + 0*a + a + 1 + z*a. Differentiate o(m) wrt m.
4
Let t(i) be the first derivative of 0*i + 0*i**2 - 4/3*i**3 + 21/4*i**4 - 34. What is the third derivative of t(a) wrt a?
126
Let m(v) be the first derivative of v - 11/3*v**3 + 10 + 0*v**2. What is the first derivative of m(t) wrt t?
-22*t
Let q(i) be the first derivative of i**4/2 - 11*i**3/3 + 126*i - 3. Differentiate q(k) with respect to k.
6*k**2 - 22*k
Let k(u) be the first derivative of 407*u**5/5 - 161*u**3 + 232. Find the third derivative of k(r) wrt r.
9768*r
Let n = -9 - -52. Let v be (8/(-14))/(4/(-28)). Find the second derivative of -40*k - 7*k**v + n*k - k**4 wrt k.
-96*k**2
Let x(s) = 332*s**3 + 6*s**2 - 6*s + 1. Let t(k) = -331*k**3 - 5*k**2 + 5*k - 3. Let y(h) = 6*t(h) + 5*x(h). What is the derivative of y(v) wrt v?
-978*v**2
Suppose -6*n + 13 - 1 = 0. What is the third derivative of 9*s**5 + 0*s**2 + 11*s - 11*s - 11*s**n wrt s?
540*s**2
Let w(c) be the first derivative of -38*c**2 - 52*c - 40. Find the first derivative of w(y) wrt y.
-76
Let k be 14 + 7/((-14)/6). Suppose d + 1 = -3*s + 24, -s = 5*d + k. Differentiate s*j**2 - j**2 + 15 - 12 wrt j.
16*j
Let q(w) be the first derivative of 3/2*w**2 + 0*w**3 + 0*w - 2*w**4 + 10. What is the second derivative of q(d) wrt d?
-48*d
Let h be (-5)/3*(2 + (-25)/5). Find the third derivative of -34*u**2 + 1063 + 8*u**h - 1063 wrt u.
480*u**2
Let f(n) = -25*n**2 + 31. Let x be 8/3*((-54)/12 + 3). Let o(i) = -49*i**2 + 60. Let a(k) = x*o(k) + 9*f(k). Differentiate a(z) wrt z.
-58*z
Let h(y) be the second derivative of y**6/10 - 13*y**5/20 + 5*y**4/3 - 43*y. Find the third derivative of h(j) wrt j.
72*j - 78
Let f(u) = -300*u - 43. Let r(s) = 301*s + 46. Let h(i) = -5*f(i) - 6*r(i). What is the first derivative of h(l) wrt l?
-306
Suppose 10*g = 14*g - 5*g. Let j(m) be the second derivative of g + 4*m + 0*m**3 + 1/12*m**4 - 4*m**2. Differentiate j(n) with respect to n.
2*n
Let c(f) = -20*f**4 + 8*f**2 + 28*f + 321. Let b(a) = 7*a**4 - 3*a**2 - 9*a - 107. Let d(g) = 8*b(g) + 3*c(g). What is the derivative of d(z) wrt z?
-16*z**3 + 12
Let z(v) be the first derivative of v**9/504 + 13*v**5/60 - 5*v**2 - 4. Let n(h) be the second derivative of z(h). Find the third derivative of n(y) wrt y.
120*y**3
Let w(u) = u**5 - 7*u**3 + 19*u**2 + 119*u. Let m(a) = -a**5 + 7*a**3 - 16*a**2 - 120*a. Let k(t) = -6*m(t) - 5*w(t). Find the third derivative of k(l) wrt l.
60*l**2 - 42
Let g(s) be the third derivative of -307*s**5/20 + 275*s**3/2 - 85*s**2. Find the first derivative of g(z) wrt z.
-1842*z
Find the third derivative of -3*n - 2*n + 0*n + 390*n**3 + 5*n + 480*n**2 wrt n.
2340
Let i(a) be the second derivative of -7*a**5/20 + a**4/4 - 71*a**3/6 + 3*a + 13. Find the second derivative of i(u) wrt u.
-42*u + 6
Suppose 3*y + 4*a - 14 = 0, 5*y + 7*a - 2*a - 20 = 0. What is the third derivative of 168*v**2 + 8*v**6 - 82*v**y - 76*v**2 wrt v?
960*v**3
Let t(y) be the third derivative of 0*y**4 + 9/2*y**3 + 0 + 0*y**5 - 1/120*y**6 + 0*y + 12*y**2. Differentiate t(p) wrt p.
-3*p**2
Let n(v) = 97*v**4 + 4*v**3 - 3*v + 124. Let k(i) = -194*i**4 - 10*i**3 + 7*i - 248. Let h(z) = 2*k(z) + 5*n(z). Find the second derivative of h(r) wrt r.
1164*r**2
Let t(o) = o + 52. Let f be t(16). Find the third derivative of -f*r**5 - 4 + 3 + 46*r**5 + 4*r**2 + 44*r**5 wrt r.
1320*r**2
Find the first derivative of -23 + d**2 + 25*d**3 - 2*d**2 - 29*d**3 wrt d.
-12*d**2 - 2*d
Let g(n) be the first derivative of 3*n**5/4 + 11*n**3/6 - 16*n + 5. Let a(s) be the first derivative of g(s). Find the second derivative of a(z) wrt z.
90*z
Let s(y) = 76*y - 99. Let p(l) = 3*l + 1. Let c(f) = -6*p(f) - 3*s(f). Differentiate c(n) wrt n.
-246
Let z(o) be the first derivative of 2*o**4/3 + 11*o**3/6 - 11*o - 9. Let w(p) be the first derivative of z(p). Find the second derivative of w(q) wrt q.
16
Let f(r) be the second derivative of -r**6/20 - 17*r**5/60 + 8*r**2 - 4*r. Let m(n) be the first derivative of f(n). What is the third derivative of m(c) wrt c?
-36
Suppose 23*p = 21*p + 12. Differentiate p*m - m - 6 + 0*m - 4 wrt m.
5
Let b(d) = -754*d**3 - 21*d**2 - 672*d - 7. Let u(k) = 251*k**3 + 6*k**2 + 224*k + 2. Let g(y) = -2*b(y) - 7*u(y). Find the second derivative of g(s) wrt s.
-1494*s
Let x(k) be the second derivative of -2*k**7/105 - k**4/3 + 2*k**3/3 - 10*k. Let s(g) be the second derivative of x(g). Find the first derivative of s(w) wrt w.
-48*w**2
Let k(h) be the first derivative of 387*h**4/4 - 65*h**3 + h - 193. Find the third derivative of k(a) wrt a.
2322
Suppose -2*s + 4*r + 2 = 0, -17 + 8 = -4*s + 3*r. Suppose -i + s*i - 20 = 0. What is the third derivative of -i*f**2 + 2*f**3 + 5*f**3 - 3*f**3 + 6*f**2 wrt f?
24
Let w(g) be the third derivative of 11*g**7/105 + g**4/12 - 19*g**3 + 107*g**2. Find the first derivative of w(z) wrt z.
88*z**3 + 2
Let n(j) = -2*j**4 - j**3 + j**2 - 1. Let c(r) = 132*r**4 - 2*r**3 + 2*r**2 - 429. Let m(u) = -c(u) + 2*n(u). Find the first derivative of m(f) wrt f.
-544*f**3
Let j(n) be the third derivative of n**7/42 + 11*n**4/4 - 13*n**2. Find the second derivative of j(y) wrt y.
60*y**2
Suppose 5*u = -1 + 6. Let t(y) = 3*y**2 + 1. Let b be t(u). What is the second derivative of -b*c - 14 + 3*c**2 + 14 wrt c?
6
What is the third derivative of 5*p**2 + 4*p**2 - 6477*p + 53*p**5 + 6483*p wrt p?
3180*p**2
Suppose -69*y = -74*y. What is the second derivative of 479*s**3 + s + y + 4*s**4 - 482*s**3 - 1 wrt s?
48*s**2 - 18*s
Let m = -7 + 9. What is the third derivative of 4*x**4 - 9*x**4 - 2*x**4 + m*x**2 wrt x?
-168*x
Let x(d) be the second derivative of 7*d**5/60 - 4*d**3/3 + 3*d**2 + 12*d. Let y(t) be the first derivative of x(t). Differentiate y(a) with respect to a.
14*a
Let z(b) be the second derivative of -b**5/5 - 5*b**3/2 + 60*b**2 + 419*b. Differentiate z(j) with respect to j.
-12*j**2 - 15
Suppose -19 = -2*l - 3*r, l + 2*l - 32 = -r. Suppose 0 = l*d - 13*d + 6. Find the first derivative of 6 - 5*a**d + a + 2*a**3 - a wrt a.
-9*a**2
Let l(v) = 96*v + 49 - 88*v + 8*v**2 + 6*v**2. Let b(i) = -9*i**2 - 5*i - 33. Let o(r) = -8*b(r) - 5*l(r). Differentiate o(y) with respect to y.
4*y
Let f(u) be the third derivative of 0 + 0*u - 13*u**2 + 3/112*u**8 + 0*u**3 + 0*u**6 + 19/24*u**4 + 0*u**5 + 0*u**7. Find the second derivative of f(m) wrt m.
180*m**3
Let l(m) be the first derivative of -235*m**2/2 - 239*m - 388. What is the first derivative of l(n) wrt n?
-235
Let k(i) = -351*i - 353. Let y(b) = -349*b - 353. Let x(o) = 2*k(o) - 3*y(o). What is the derivative of x(n) wrt n?
345
What is the second derivative of -2740*j**4 + 18*j - 4*j**2 - 3 + 4*j**2 + 2759*j**4 wrt j?
228*j**2
Find the third derivative of 7*j**2 - 71 + 20*j**3 - 5*j**5 - 2*j**2 - 3*j**2 - 11*j**3 wrt j.
-300*j**2 + 54
Let x(a) = -a**2 - a - 1. Let r(u) = u + 1. Let f(q) = -11*q**2 + 6*q + 9. Let c(d) = f(d) - 2*r(d). Let o(p) = -c(p) - 4*x(p). Differentiate o(l) wrt l.
30*l
Suppose -6 = 3*w - 6*w. Suppose 3*t + w*t = 15. What is the first derivative of -4*q**t - q**3 - 3 - 3*q**3 wrt q?
-24*q**2
Differentiate -18*z + 2 - 8 - 18 - 56*z + 11*z with respect to z.
-63
Let d(f) = 49*f. Let y(n) = -50*n + 1. Let z(g) = 4*d(g) + 3*y(g). Let l(a) = -23*a - 1. Let v(b) = 9*l(b) + 4*z(b). Find the first derivative of v(t) wrt t.
-23
Let s(k) be the second derivative of 5/6*k**3 + 0 + 0*k**6 + k + 0*k**4 - 1/14*k**7 + 0*k**5 + 0*k**2. Find the second derivative of s(l) wrt l.
-60*l**3
Let d(b) = -b**2 - 3*b. Let y be d(-1). Let f = 15 + -9. Find the third derivative of -19*h**y - h**6 + 9*h**6 + f*h**2 wrt h.
960*h**3
Let n = -233 + 238. Let k(o) be the second derivative of 0*o**2 + 1/4*o**5 - 