84
Let w(o) be the third derivative of 2221*o**5/20 + 403*o**4/8 - 54*o**2 + 6*o. Find the second derivative of w(p) wrt p.
13326
Let k = -4264 - -4269. Let o be (-4)/(-6) + 13/3. What is the third derivative of -4*i**5 + 3*i**o - 13*i**2 + 7*i**k + 36*i**2 wrt i?
360*i**2
Let c(f) be the third derivative of 4/15*f**5 + 0*f + 1/24*f**4 + 0 + 5/2*f**3 - 83*f**2. Find the second derivative of c(h) wrt h.
32
Let s(x) be the first derivative of 64*x**6/15 - 89*x**2 - 134*x - 152. Let a(o) be the first derivative of s(o). Find the first derivative of a(m) wrt m.
512*m**3
Suppose -41 = -2*b - 5*o + 130, -3*b = 5*o - 254. What is the third derivative of -26*t**5 + 75*t**2 - 4*t**5 - b*t**5 + 11*t**5 wrt t?
-6120*t**2
Let i = -215 + 239. What is the derivative of i + 28 + 713*s**3 - 887*s**3 wrt s?
-522*s**2
Let f = 10 + 25. Let a = -30 + f. What is the second derivative of -a*w**3 + w**3 - 9*w - 10*w**3 wrt w?
-84*w
Let b(y) be the third derivative of 9*y**8/56 + y**6/24 + y**5/30 - 529*y**4/8 - y**3/2 - 981*y**2 - 3. Find the second derivative of b(q) wrt q.
1080*q**3 + 30*q + 4
Suppose 0 = 5*f + 6 + 49. Let c = f + 30. What is the third derivative of -2*d**5 + 7*d**2 - c*d**2 - 3*d**5 wrt d?
-300*d**2
Let t(g) = -378*g - 470. Let l(a) = 7185*a + 8928. Let d(n) = 2*l(n) + 39*t(n). What is the first derivative of d(x) wrt x?
-372
Let r(c) be the third derivative of -1441*c**8/336 - 95*c**4/24 + 577*c**2. Find the second derivative of r(t) wrt t.
-28820*t**3
Let r(c) be the third derivative of -3*c**7/70 - c**6/24 + 23*c**4 - 379*c**2. Find the second derivative of r(j) wrt j.
-108*j**2 - 30*j
Let i(v) be the second derivative of 77*v**5/4 + 296*v**2 + 95*v + 5. Differentiate i(l) with respect to l.
1155*l**2
Suppose 4*g + 0*o + 4*o + 4 = 0, 16 = 2*g - 4*o. Find the third derivative of 2*i**3 - 315*i**2 + 391*i**g - i**4 + 10*i**4 wrt i.
216*i + 12
Let s(j) be the second derivative of j**9/15120 - 3*j**6/40 - 31*j**5/60 + 7*j**4/6 + 59*j. Let y(k) be the third derivative of s(k). Differentiate y(v) wrt v.
4*v**3 - 54
Suppose 0 = y - 18*y + 459. What is the third derivative of -y*c**2 + 102*c**3 + 89*c**3 - 182*c**3 wrt c?
54
Let m(r) be the second derivative of -1205*r**3/6 - 745*r**2 - 8*r + 16. What is the first derivative of m(h) wrt h?
-1205
Let k(g) be the first derivative of -1463*g**5/5 + 2898*g + 861. What is the derivative of k(b) wrt b?
-5852*b**3
Let j(c) = 4*c**2 - 2*c + 2. Let f be j(1). Find the second derivative of -55*x - 11*x - f*x**2 + 5*x**2 - 2*x**2 + 25*x**5 wrt x.
500*x**3 - 2
Find the third derivative of -89 - 186*w**5 - 3818*w**5 - 171*w + 88 + 2*w**2 wrt w.
-240240*w**2
Let d(u) be the third derivative of 53/24*u**6 + 13/60*u**5 + 0*u**4 + 0*u + 0 + 0*u**3 - 115*u**2. Find the third derivative of d(m) wrt m.
1590
Let z(h) be the third derivative of 195*h**4/8 - 895*h**3/3 - 2*h**2 + 661*h. Differentiate z(w) wrt w.
585
Suppose -5*m + 388 - 13 = 0. What is the derivative of 21 - 2*f**4 - 42*f**3 + m*f**3 - 36*f**3 wrt f?
-8*f**3 - 9*f**2
Let c(k) = -68*k**2 - k - 1. Let v(t) = -43*t**2 - t + 3160. Let j(w) = c(w) - v(w). What is the derivative of j(d) wrt d?
-50*d
Let p(s) = -s - 1. Let x(k) = -36*k - 33. Let i be (192/(-15))/((-4)/10). Let y = 50 - i. Let v(n) = y*p(n) - x(n). Differentiate v(d) with respect to d.
18
What is the first derivative of 2299*v - 1730 + 5959 + 1587*v + 2035*v wrt v?
5921
Let q(k) be the third derivative of 497*k**5/60 - 985*k**3/3 - 546*k**2 + k. Differentiate q(l) wrt l.
994*l
Let x(h) be the first derivative of 12*h**5/5 - 11*h**4 + 2448*h**2 - 1043. Find the second derivative of x(z) wrt z.
144*z**2 - 264*z
Let y(k) be the second derivative of k**6/30 - 71*k**4/4 + 1259*k**3/6 - 2*k - 513. Find the second derivative of y(b) wrt b.
12*b**2 - 426
Let z = 2135 + -712. Find the second derivative of -13*u**5 - 1419*u**4 + z*u**4 - 12*u + 2*u**5 wrt u.
-220*u**3 + 48*u**2
What is the third derivative of 45*y + 57*y**2 + 18572*y**3 - 13061*y**3 + 2*y wrt y?
33066
Let x(w) be the second derivative of -1426*w**3/3 + 1735*w**2 + 2*w + 284. What is the first derivative of x(q) wrt q?
-2852
Let w(d) be the third derivative of 0*d**5 + 0*d**3 + 101*d**2 + 0 + 0*d + 13/120*d**6 - 7/8*d**4. Find the second derivative of w(j) wrt j.
78*j
Let j be 2*1 - 0/31. What is the third derivative of 27*f**j + 361*f**3 - 361*f**3 + 18*f**6 wrt f?
2160*f**3
Suppose -u + 12 = c + 4*u, 2*c = u + 2. What is the third derivative of -44*z**6 - 47*z**c + 130*z**6 - 4*z**6 - z**5 wrt z?
9840*z**3 - 60*z**2
Let o(m) be the first derivative of -438*m**7/7 - m**6/6 + 2335*m**3/3 - 3341. What is the third derivative of o(l) wrt l?
-52560*l**3 - 60*l**2
Suppose -491*g - 5 = -492*g. Find the first derivative of 113 + 52 + 6*a**4 + 27*a**3 + g*a**2 + a**4 - 27*a**3 wrt a.
28*a**3 + 10*a
Let x be (-4 - -10)*((-21)/(-6) - 1). Let v = 33 - x. What is the second derivative of -8*s + v*s**5 + 4*s + 0*s**5 - 4*s**5 wrt s?
280*s**3
Let s be (-16)/(-28)*77/22. Find the third derivative of -1439*j**s + 4*j**3 + 1438*j**2 - j**5 - 5*j**3 + 44*j wrt j.
-60*j**2 - 6
Let b(d) be the third derivative of 505*d**4/6 + 1150*d**3/3 + 17*d**2 - 31*d. Differentiate b(f) with respect to f.
2020
Let a(j) be the second derivative of -407*j**4/12 - 1261*j**3/6 + 15*j - 20. What is the second derivative of a(p) wrt p?
-814
Let q(d) = -21*d**2 + 12*d - 3*d + d + 14 + 11*d**3. Let b(f) = f**3 + f. Let i(a) = -6*b(a) + q(a). Find the second derivative of i(h) wrt h.
30*h - 42
What is the third derivative of 209*r**2 - 169*r**2 + 6270*r**3 + 289*r**2 + 380*r**2 + 4*r wrt r?
37620
What is the third derivative of 384*v**2 - 1058*v**2 + 243*v**3 - 1102*v**3 - 653*v**3 wrt v?
-9072
Let l(i) be the second derivative of -23/12*i**4 + 8 + 0*i**2 + 18*i**3 + i. Find the second derivative of l(h) wrt h.
-46
Let m(y) be the third derivative of -3149*y**7/105 + 91*y**5/60 - 4*y**3/3 - 13*y**2 + 2*y + 77. Find the third derivative of m(j) wrt j.
-151152*j
Let q(p) be the first derivative of -2239*p**3/3 + 2414*p - 565. Differentiate q(n) with respect to n.
-4478*n
Let s(y) be the third derivative of 0*y + y**2 - 43/60*y**5 + 0*y**3 - 48 + 1/12*y**4. What is the second derivative of s(q) wrt q?
-86
Let r(u) = u**3 - 11*u**2 + 13*u - 27. Let s be r(10). Differentiate 67*q**3 - 135*q**s + 56 + 65*q**3 wrt q.
-9*q**2
Differentiate 17*l**4 + 1499*l**2 - 3572 - 658 + 594 - 19*l**4 wrt l.
-8*l**3 + 2998*l
Let m(f) be the second derivative of 2 + 1/10*f**5 + 62*f**2 + 0*f**4 + 6*f - 1/2*f**3. What is the derivative of m(v) wrt v?
6*v**2 - 3
Suppose 0 = -o - 2*s - 10, s = o - 5*o - 19. Let m be (-22)/o + 1/(-2) + 1. Differentiate 6*x**3 - 4 + 4*x**3 + m*x**3 with respect to x.
48*x**2
Let i(d) = 11*d**2 + 48*d - 1210. Let a(r) = -11*r**2 - 51*r + 1210. Let k(m) = -6*a(m) - 5*i(m). Differentiate k(o) wrt o.
22*o + 66
Let w = 370 + -340. What is the derivative of 40 - 74 + 2*g**4 + w - 22*g**2 wrt g?
8*g**3 - 44*g
Let r(t) be the first derivative of 46 + 0*t**4 + 57/7*t**7 + 1/3*t**3 + 5/2*t**2 + 0*t + 0*t**6 + 0*t**5. Find the third derivative of r(q) wrt q.
6840*q**3
Let o = 4048 + -4031. Let v be 38/8*2*4. Find the first derivative of 39 + o - v + 18*k wrt k.
18
Find the second derivative of -2*p + 26 + 468 - 296670*p**2 + 298968*p**2 - 117 wrt p.
4596
Suppose w + 5*i = 54, 0 = -3*w - 4*i + 54 + 130. Find the third derivative of -19*g**2 + 2*g + 5*g - w*g**5 - 8*g + 4*g wrt g.
-3840*g**2
Let w(p) = 23*p**3 + 5*p**2 - 111*p + 3602. Let l(z) = 36*z**3 + 8*z**2 - 167*z + 5404. Let g(o) = -5*l(o) + 8*w(o). What is the first derivative of g(v) wrt v?
12*v**2 - 53
Differentiate -111*g + 87 + 107*g + 52 - 324*g - 405*g with respect to g.
-733
Let o(d) be the third derivative of 79*d**5/12 - 1079*d**3/6 - 347*d**2 - 5*d. What is the first derivative of o(n) wrt n?
790*n
Let v(j) = -3286*j**4 + 20*j**3 + j**2 - 922*j. Let m(a) = 2*a**4 - 4*a**3 + 2*a. Let l(c) = 5*m(c) + v(c). Find the third derivative of l(t) wrt t.
-78624*t
Let l(m) be the second derivative of -87*m**5/5 - 5*m**3/6 + 2045*m**2/2 - 1525*m + 2. What is the first derivative of l(z) wrt z?
-1044*z**2 - 5
Let v(c) be the first derivative of -16*c**3/3 - 27*c - 277. Let k = 2 - -4. Let i(a) = a**2. Let y(f) = k*i(f) + v(f). Fi