derivative of q**5/5 + 2*q**3/3 + 3*q - 22. Let s(k) = 2*h(k) + 3*n(k). Find the third derivative of s(a) wrt a.
48*a
Let k(x) be the first derivative of x + 2*x**3 - 5*x**3 - 7 + 3*x + 2*x. What is the first derivative of k(n) wrt n?
-18*n
Let j(g) = g**2 - g. Let c(t) = 2*t**2 - 7*t + 1. Let w(y) = -c(y) + 3*j(y). Let l(z) be the first derivative of w(z). Find the first derivative of l(h) wrt h.
2
Let y be (6/9)/(4/192). Let i = 42 - y. What is the third derivative of -58 - i*v**2 + 58 - 5*v**4 wrt v?
-120*v
Find the second derivative of -25*o - 108*o**5 - 138*o**5 + 49*o + 22*o**5 + 81*o wrt o.
-4480*o**3
Let r(p) be the first derivative of -31*p**6/6 - 260*p**3/3 - 28. What is the third derivative of r(j) wrt j?
-1860*j**2
Differentiate 118 - 344*c**2 + 343*c**2 + 6*c**3 + 22*c**3 with respect to c.
84*c**2 - 2*c
Let h(k) be the first derivative of 19*k**5/30 - 11*k**4/24 + 18*k**2 - 36. Let u(y) be the second derivative of h(y). Find the second derivative of u(d) wrt d.
76
Let z be (-1 + 2)/(1/17). Let h be z + 3/(-5 - -2). What is the third derivative of -24*f**5 - h*f**5 + 2*f**2 + 34*f**5 wrt f?
-360*f**2
Let y be (-14)/21*(-9)/2. Suppose 5*w - 3*b - 42 = 0, 0 = -2*w + w - 2*b - 2. Differentiate -u - 5*u - w + y*u wrt u.
-3
Let n(c) be the second derivative of 0*c**4 + 1/6*c**3 + 0*c**2 - 11/42*c**7 + 0 + 0*c**6 + 16*c + 0*c**5. What is the second derivative of n(m) wrt m?
-220*m**3
What is the third derivative of 107*r**2 - 118*r**2 + 2 + 2 + 14*r**4 wrt r?
336*r
Let r = -116 + 172. What is the third derivative of 5*f**6 - r*f**2 + 54*f**2 - 3*f**6 wrt f?
240*f**3
Let q(r) be the third derivative of 0*r**4 + 13/6*r**3 + 0 + 27*r**2 + 0*r + 11/30*r**5. What is the derivative of q(x) wrt x?
44*x
Let w(o) = 653*o + 433. Let d(r) = -325*r - 216. Let a(u) = -9*d(u) - 4*w(u). Differentiate a(x) with respect to x.
313
Let p(j) be the third derivative of -305*j**9/504 - 143*j**5/30 + 619*j**2. What is the third derivative of p(a) wrt a?
-36600*a**3
What is the third derivative of -61*s - 52*s**3 + 2*s**2 - 2 - 12 + 14 wrt s?
-312
Find the third derivative of -225*t - 27*t**2 - 29*t**2 - 21*t**2 + 419*t**3 + 75*t**2 - 268*t wrt t.
2514
Let j(f) = f**3 - 18*f**2 + f - 15. Let p be j(18). Find the first derivative of 3*k**p - 6*k**3 - 1384 + 1370 wrt k.
-9*k**2
Let x(h) = -452*h**4 + 14*h**3 - 7*h + 939. Let a(k) = 226*k**4 - 8*k**3 + 4*k - 470. Let p(o) = -7*a(o) - 4*x(o). Differentiate p(v) with respect to v.
904*v**3
Let b(x) = -x**2 - 5*x + 24. Let s be b(-7). What is the derivative of -s*z + 130 + 31*z - 90 wrt z?
21
What is the second derivative of -4 - 9*d + 3*d**2 + 62*d**4 - 2*d**2 + 10 + 8*d - 3*d**2 wrt d?
744*d**2 - 4
Let s(y) be the first derivative of -121*y**5/5 + 702*y - 859. Differentiate s(x) with respect to x.
-484*x**3
Let x(j) be the first derivative of 20*j**6/3 - 3*j**2/2 + 6*j - 74. What is the second derivative of x(h) wrt h?
800*h**3
Suppose 10 = m + m. Suppose 0*o - 2*o + 32 = 5*b, -m*o = -5. What is the first derivative of -w + w - 18*w**2 + 17*w**2 + b wrt w?
-2*w
Let k = 3 + 2. Suppose -2*n + 4*j - 7 - 3 = 0, 0 = 4*n - k*j + 8. Find the second derivative of 3*c**n + 5*c - 10*c**3 + 4*c**4 + 7*c**3 wrt c.
48*c**2
Differentiate 97 + 159 + 47*c + 18*c + 114 + 109*c with respect to c.
174
Let h(k) be the second derivative of -7*k**6/3 - 23*k**3/2 + 14*k - 2. What is the second derivative of h(v) wrt v?
-840*v**2
Let u = 4/33 + 46/165. Let q(l) be the first derivative of u*l**5 + 3*l + 0*l**4 + 0*l**3 + 0*l**2 - 4. What is the derivative of q(x) wrt x?
8*x**3
Let h(f) be the third derivative of -25*f**8/24 - f**4/12 - f**3/3 + 366*f**2. What is the second derivative of h(k) wrt k?
-7000*k**3
Find the second derivative of -200*d - 83*d**4 - 125*d**4 + 282*d + 19*d**4 wrt d.
-2268*d**2
Let n(b) be the second derivative of 0*b**4 + 2*b - 1/20*b**5 + 0 + 0*b**2 + 17/6*b**3. Find the second derivative of n(s) wrt s.
-6*s
Let w(s) be the second derivative of -101*s**5/20 + s**4/6 + 7*s**2/2 - 11*s - 5. What is the third derivative of w(l) wrt l?
-606
Suppose -2*j - 115 + 119 = 0. Suppose -2*v - 3*m + 7 = 1, 12 = 4*v + 4*m. What is the third derivative of 0*r**j - 6*r**2 + 7*r**5 + v*r**2 + r**5 wrt r?
480*r**2
Suppose 2*r + 100 = 3*o, -4*r + 10 = 3*o - 2*o. Differentiate d + 5*d - 6*d - 32 + o*d**2 wrt d.
60*d
Let d(u) = -71*u + 589. Let c(x) = 35*x - 298. Let w(f) = 5*c(f) + 3*d(f). Find the first derivative of w(g) wrt g.
-38
Let l be 2/8 + (-2 + 10 - 8). Let s(x) be the third derivative of 0*x**3 - l*x**4 - 2*x**2 + 0 + 1/10*x**5 + 0*x. What is the second derivative of s(q) wrt q?
12
What is the third derivative of 20*n**2 + 2 - 4 - 27*n**2 - 128*n**3 + 192*n**2 wrt n?
-768
Let u(y) be the first derivative of 13*y**4/2 + 2*y**3/3 - y - 227. Differentiate u(c) wrt c.
78*c**2 + 4*c
Let s = 19 - -11. Let n = s - 28. Find the second derivative of -7*o**4 + n*o - 19*o + 8*o wrt o.
-84*o**2
Let p(c) be the third derivative of 23*c**9/72 - c**5/6 - 98*c**2. What is the third derivative of p(n) wrt n?
19320*n**3
What is the second derivative of 620*n - 3*n**2 + 315*n - 19*n**2 - 19*n**3 wrt n?
-114*n - 44
Suppose 37*c = 34*c + 12. Let s(h) be the second derivative of 0 + 0*h**c - 1/3*h**3 - 5*h - 1/5*h**5 + 0*h**2. Find the second derivative of s(x) wrt x.
-24*x
Let l(w) be the second derivative of 4*w**5 - w**3/2 - 251*w**2/2 + 589*w. Differentiate l(o) wrt o.
240*o**2 - 3
What is the third derivative of -2*a**3 + 3233*a**4 + 36*a**2 - 3331*a**4 + 323*a**2 wrt a?
-2352*a - 12
Let s(h) = -h**3 + 7*h**2 - 6*h + 3. Let b = -16 - -22. Let v be s(b). Find the third derivative of 4*a**3 - 4*a**v - a**2 + 3*a**3 wrt a.
18
Let k(c) = c**2 + 4*c + 5. Let h be k(-4). Find the third derivative of -25*q**5 - 14*q - 2*q**h + 18*q**2 + 14*q wrt q.
-1620*q**2
Let s(z) be the first derivative of -14*z**5/5 - 4*z**3/3 - 120*z + 460. What is the first derivative of s(l) wrt l?
-56*l**3 - 8*l
Let m(u) be the second derivative of 0 + 1/6*u**3 - 4*u**2 - 8*u. What is the derivative of m(v) wrt v?
1
Let u(k) be the second derivative of -9*k + 5/3*k**4 + 0*k**3 + 0 - 5/2*k**2. What is the derivative of u(j) wrt j?
40*j
Suppose d - 2*d + 8 = 0. Let x = d + 1. What is the third derivative of x*v**4 + 235 - v**2 - 235 wrt v?
216*v
Let g(p) be the third derivative of 4*p**7/35 + p**5/20 - 6*p**3 + 75*p**2. Differentiate g(h) wrt h.
96*h**3 + 6*h
Let u(f) = f**2 + 7*f + 11. Let x be u(-6). What is the second derivative of 4*v + 51*v**4 - 13*v**x - 51*v**4 + 2*v wrt v?
-260*v**3
Let h(k) be the first derivative of -7*k**5/10 - 2*k**4/3 - 14*k - 15. Let p(n) be the first derivative of h(n). Find the third derivative of p(f) wrt f.
-84
Let g(r) = 4*r**2 + r - 2. Let m(d) = -294*d**2 + 96*d + 24. Let v(t) = 12*g(t) + m(t). What is the second derivative of v(l) wrt l?
-492
Let a(k) be the third derivative of 0*k**3 - 2/21*k**7 - 1/4*k**5 + 17*k**2 + 0*k**4 + 0*k**6 + 0 + 0*k. What is the third derivative of a(t) wrt t?
-480*t
Let r be (-64)/(-6) + 6/18. Find the third derivative of -r*n**2 + 4*n**5 - 6*n**2 + 0*n**5 wrt n.
240*n**2
Let k be 1 + (-4)/2 + 4. Let d be k*3*22/18. Find the second derivative of 8*s**2 - d + 2*s + 11 wrt s.
16
Let u(o) = 1. Let g(q) = 6 + 9 + 6*q**2 - 30 + 9. Suppose 5*x + 15 = -0. Let j(a) = x*u(a) - g(a). Differentiate j(m) wrt m.
-12*m
Let b(l) be the third derivative of -17*l**4/12 + l**3/6 + 32*l**2 + 1. Differentiate b(d) with respect to d.
-34
Let b = -77 - -102. Find the third derivative of b*i**2 - 4*i**6 + i**4 + 357 + 0*i**4 - 357 wrt i.
-480*i**3 + 24*i
Let u(v) be the second derivative of 3*v**7/14 + 2*v**4/3 - v**3/2 + 19*v**2 - 371*v. What is the second derivative of u(p) wrt p?
180*p**3 + 16
Let y(c) be the first derivative of 171*c**4 + 757*c**3/3 + 727. Find the third derivative of y(r) wrt r.
4104
Suppose 3*c = 3*b - 9, 2*b - 6 = 4. Find the first derivative of -25 + c - 7*l**4 - 4*l**4 wrt l.
-44*l**3
Let w be (-49)/35 + (-216)/(-40) + -1. Let d(r) be the first derivative of -3/2*r**4 + 0*r**w + 0*r**2 - 3*r + 8. Find the first derivative of d(b) wrt b.
-18*b**2
What is the third derivative of 60*m**4 - 131*m**2 + 53*m**4 + 146*m**2 wrt m?
2712*m
Suppose 0 = -3*n - 5*x + 19, -n - 3*x + 10 = 1. What is the first 