x.
-4*x - 13
Let f(l) be the first derivative of 11*l**4/12 - 19*l**3/6 - 11*l - 6. Let c(r) be the first derivative of f(r). Find the second derivative of c(g) wrt g.
22
Let t(u) be the second derivative of 0*u**3 + 0*u**2 - 5/6*u**4 - 1 + 4*u + 0*u**5 + 0*u**7 + 5/14*u**8 + 0*u**6. Find the third derivative of t(f) wrt f.
2400*f**3
Let g(m) = 503*m**2 - 14*m - 140. Let j(s) = -336*s**2 + 9*s + 93. Let k(n) = 5*g(n) + 8*j(n). What is the second derivative of k(o) wrt o?
-346
Let a(b) be the second derivative of 0*b**4 + 0*b**2 + 0 - 5/2*b**3 - 17/20*b**5 + 3*b. What is the second derivative of a(r) wrt r?
-102*r
Let k(f) be the first derivative of -97*f**2 - 50*f - 184. Differentiate k(c) wrt c.
-194
Let q = 975 + -2924/3. Let t(m) be the second derivative of 0 - q*m**3 + m + 0*m**4 + 0*m**2 - 3/10*m**5. Find the second derivative of t(n) wrt n.
-36*n
Suppose 0 = -5*x + x. Let a be (1 - x) + 3 + 0. What is the second derivative of -m**a - 5*m + m - m - m**4 wrt m?
-24*m**2
Let v(a) = 70*a**2 + 8*a - 139. Let i(z) = -23*z**2 - 3*z + 45. Let g(l) = 8*i(l) + 3*v(l). Differentiate g(n) wrt n.
52*n
Let z = 38/53 - -507/106. Let n(c) be the second derivative of z*c**2 - 1/6*c**4 + 0*c**3 + 0 + 13*c. What is the first derivative of n(g) wrt g?
-4*g
Let n(i) = 408*i**3 + 2*i**2 + 298*i + 6. Let o(t) = -t**3 + t**2 + 2*t + 3. Let x(w) = n(w) - 2*o(w). Find the second derivative of x(l) wrt l.
2460*l
Let d(c) be the third derivative of -c**9/252 + 3*c**8/28 - c**5/12 + c**3/2 + 2*c**2 - 31*c. Find the third derivative of d(y) wrt y.
-240*y**3 + 2160*y**2
Let n be 0/(5/(25/10)). Suppose n = -5*p + 37 - 12. What is the third derivative of -i**5 + i**5 + 4*i**2 - 10*i**5 - 2*i**p wrt i?
-720*i**2
Let f(o) be the second derivative of -11*o**7/42 + o**6/10 + 137*o**4/6 - 274*o. Find the third derivative of f(k) wrt k.
-660*k**2 + 72*k
Let a(z) be the first derivative of -5/3*z**3 + 0*z - 13 + 12*z**2. What is the second derivative of a(k) wrt k?
-10
Let r(n) = -138*n**6 - 3*n**5 - 5*n**2 + 38*n + 3. Let c(z) = -z**6 + z**5 + z**2 - 1. Let b(k) = 3*c(k) + r(k). What is the third derivative of b(a) wrt a?
-16920*a**3
Suppose -16 = -4*a - 0. Let b(v) = -v**2 + 3*v + 4. Let o be b(3). Differentiate -3*x + 2*x - a*x**3 + o + x wrt x.
-12*x**2
Let f(a) be the third derivative of 331*a**5/60 + 55*a**4/3 + 38*a**2 - 3*a. What is the second derivative of f(k) wrt k?
662
Let r be (-4)/6*(-1221)/74. Find the third derivative of 2*j - r*j**5 + 7*j**5 - 14*j**5 - 17*j**2 wrt j.
-1080*j**2
Suppose 0 = -7*v + 11*v - 5*f - 41, v = -4*f - 16. Find the third derivative of -3*m**2 + 4*m**5 + 14 - 1 - 3 + v wrt m.
240*m**2
Find the third derivative of 41*l**2 - 374*l + 90*l**2 - 153*l**4 + 375*l wrt l.
-3672*l
Let m be 3 + 47/(2 + -3). Let n be (-11)/m - (-11)/4. What is the second derivative of 5*g + g - 3*g - 5*g**n - g wrt g?
-30*g
What is the third derivative of -3764*s**3 + 5956*s**3 - 3226*s**3 + 16*s + 13*s**2 wrt s?
-6204
Let y(f) = -17*f + 16. Let n(x) = 9*x - 11. Let q(u) = -5*u + 6. Let t(v) = 6*n(v) + 11*q(v). Let d(r) = 4*t(r) + y(r). Differentiate d(w) with respect to w.
-21
What is the second derivative of -82*v**4 - 3*v**4 - 2*v**3 + 2*v**3 + 12*v**4 - 53*v - 1 wrt v?
-876*v**2
Find the third derivative of -11*m**2 - 23*m**3 + 16*m**6 + 23*m**3 + 3*m + 2*m**4 + 13*m**2 wrt m.
1920*m**3 + 48*m
Let s = 26 - 22. Find the third derivative of -10*j**s - 5*j**4 + 102*j**2 - 88*j**2 wrt j.
-360*j
Suppose -45*x + 439 + 146 = 0. Let w(q) be the first derivative of 0*q - x - 8/3*q**3 + 0*q**2 + 3/4*q**4. What is the third derivative of w(g) wrt g?
18
Let w(m) = -3*m**2 - 3. Let u = -55 - -41. Let a(x) = 10*x**2 + 10. Let c(v) = u*w(v) - 4*a(v). What is the derivative of c(r) wrt r?
4*r
Let h = -235 + 240. Let i(w) be the third derivative of 1/20*w**6 + 0*w**4 + 0 + 0*w**3 - 1/15*w**h - 3*w**2 + 0*w. Find the third derivative of i(d) wrt d.
36
Let l be 486/16 + 27/(-72). What is the second derivative of -9*f + 23*f + 30*f + l*f**5 wrt f?
600*f**3
Suppose -3*c = 5*f - 88, 2*f - 4*c = c + 29. Let r = f - 15. Differentiate -1 + r + 0*w**3 - w**3 - w**3 with respect to w.
-6*w**2
Let b(a) be the third derivative of 0 + 0*a**5 - 50*a**2 + 0*a + 0*a**3 + 2*a**4 - 1/30*a**6. What is the second derivative of b(v) wrt v?
-24*v
Let g = -8 - -13. Let c be -2 + g - (2 - 1). Find the second derivative of 3*l**2 - c*l - 7*l - l**2 + 7*l wrt l.
4
Let z(y) = -5*y**3 + 3*y**2 + 30*y - 9. Let c(i) = -i - 2. Let w(m) = 5*c(m) - z(m). Find the second derivative of w(d) wrt d.
30*d - 6
Let s(u) be the third derivative of -109*u**4/24 - 95*u**3/6 - 98*u**2. What is the first derivative of s(p) wrt p?
-109
Find the first derivative of 2*u**2 - 35 + 0*u**2 - 133*u + 135*u wrt u.
4*u + 2
Let n(q) be the third derivative of q**5/15 + 5*q**4/8 - 71*q**3/6 - 17*q**2 + 4*q. Differentiate n(l) wrt l.
8*l + 15
Suppose -277 = -3*c + 4*l, -154 = 4*c + 4*l - 514. What is the third derivative of -8*y**6 - 91 - 14*y**2 + c wrt y?
-960*y**3
Find the second derivative of -38*d**2 - 71*d - 2 + 34*d**2 - 18*d**2 - 92*d**2 wrt d.
-228
Let d be 5 + 2/2 - 2. Let b be (-4 + (-5)/(-2))/(6/(-8)). Find the second derivative of -5*h**4 + 0 + 4 + b*h - d wrt h.
-60*h**2
Let x(w) = -61*w**3 - 35*w**2 - 9*w. Let l(d) = 0 + 3*d - 9*d**2 + 0 - 5*d - 15*d**3. Let b(c) = 9*l(c) - 2*x(c). What is the third derivative of b(n) wrt n?
-78
Let q be (-15)/3 - 130/(-26). Let x(m) be the first derivative of 7/2*m**2 + 0*m + q*m**3 + 3 - 1/4*m**4. What is the second derivative of x(u) wrt u?
-6*u
Differentiate 553 - 419 - 275 - 14*d**4 - 6*d**3 with respect to d.
-56*d**3 - 18*d**2
Let w(k) be the second derivative of 3*k**4/4 - k**3 - 239*k**2/2 + 531*k. What is the derivative of w(f) wrt f?
18*f - 6
Let p(w) be the second derivative of -w**10/1890 - w**6/48 + 3*w**4/4 - 6*w. Let y(j) be the third derivative of p(j). Find the second derivative of y(h) wrt h.
-320*h**3
Let n(l) = 8*l**4 + 3*l**3 - 2*l**2 - 2*l + 3. Let u(i) = -2*i**4 + i**3 - i**2 - i - 1. Let z(g) = n(g) - 2*u(g). Find the first derivative of z(x) wrt x.
48*x**3 + 3*x**2
Let u = -18 - -21. Let s(m) = -m**2 + 3*m + 2. Let z be s(u). Find the second derivative of -12*p**2 + p + p + 3*p**z + 0*p**2 wrt p.
-18
Let f(y) be the second derivative of 178*y**6/15 - 289*y**4/12 + 117*y. Find the third derivative of f(b) wrt b.
8544*b
Find the first derivative of -308*a - 736 - 168*a + 75*a wrt a.
-401
Let j(z) be the third derivative of 0*z**3 - 5/12*z**6 - 13/20*z**5 + 0 - 43*z**2 + 0*z**4 + 0*z. Find the third derivative of j(f) wrt f.
-300
Let p(d) be the second derivative of -83*d**6/30 - 29*d**3/6 - 5*d + 12. What is the second derivative of p(s) wrt s?
-996*s**2
Let o(m) be the second derivative of m**8/56 + 11*m**6/6 - 197*m**4/6 + 154*m + 1. Find the third derivative of o(z) wrt z.
120*z**3 + 1320*z
What is the derivative of -186*w**2 + 16 + w**4 - 21*w**3 + 186*w**2 wrt w?
4*w**3 - 63*w**2
Let f(s) be the third derivative of -81*s**7/70 + 259*s**4/24 + 534*s**2. What is the second derivative of f(k) wrt k?
-2916*k**2
Let v(n) = -n**2 - 2*n + 1. Let c(z) = -64*z**2 - 80*z + 24. Let l(x) = -2*c(x) + 48*v(x). What is the second derivative of l(r) wrt r?
160
Let p(n) be the first derivative of 31/4*n**4 - 32/3*n**3 + 0*n**2 - 36 + 0*n. Find the third derivative of p(j) wrt j.
186
Find the third derivative of 196*g**2 + 350*g**5 - 5586 + 5586 wrt g.
21000*g**2
Let p(a) = -7*a - 25. Let s be p(-5). Differentiate -15*m - s + 15*m + 5 - m**3 wrt m.
-3*m**2
Let k(f) = f + 10. Let n = -12 - -4. Let i be k(n). What is the third derivative of -6*h**i - h**4 + 0*h**2 - 2*h**4 wrt h?
-72*h
Let d(q) be the third derivative of q**8/240 + 13*q**6/360 - q**3/2 + 3*q**2. Let b(l) be the first derivative of d(l). Find the third derivative of b(w) wrt w.
168*w
Let f(q) be the second derivative of q**7/42 + 14*q**6/5 + 5*q**3/3 + 3*q**2/2 + 27*q + 1. What is the second derivative of f(a) wrt a?
20*a**3 + 1008*a**2
Let t(n) be the first derivative of -2*n**5/5 - 14*n**3/3 + 85*n + 180. What is the first derivative of t(k) wrt k?
-8*k**3 - 28*k
Let w = 6 - 2. Suppose 25 = 2*o - 3*i, 5*o - 3*i - 50 = 2*i. Find the second derivative of -5*u**4 - u**5 - 3*u**o + 6*u + 5*u**w wrt u.
-80*u**