30. Find the third derivative of -31 - 50 + 81 - 237*q**t + q**5 + 151*q**4 wrt q.
60*q**2 + 3624*q
Find the third derivative of -47*v + 4965*v**2 - 5431*v**2 + 46*v + 995*v**4 wrt v.
23880*v
Let d(f) be the first derivative of 0*f**3 + f**2 - 76/5*f**5 - 14*f + 0*f**4 - 18. Find the second derivative of d(h) wrt h.
-912*h**2
Let d(f) = -28*f**3 + 10*f**2 + 2*f - 26. Let p(o) = -29*o**3 + 8*o**2 + 2*o - 24. Let a(y) = 4*d(y) - 5*p(y). What is the second derivative of a(i) wrt i?
198*i
Let n(a) be the third derivative of -577*a**7/70 - 7*a**5/6 + 5*a**4/6 - 2*a**2 + 127. What is the third derivative of n(j) wrt j?
-41544*j
Suppose -5*t - 3*q + 7 = -6*q, 4*t + q + 8 = 0. Let l = 24 + t. What is the second derivative of -157 + 157 + l*b - 6*b - 13*b**3 wrt b?
-78*b
Let o(k) be the first derivative of 4079*k**2/2 - 4991*k - 8971. Differentiate o(f) with respect to f.
4079
Let s(g) = 8931*g**2 + 37*g + 78. Let a(d) = -17*d**2 + 2*d. Let x(l) = -3*a(l) - s(l). What is the second derivative of x(b) wrt b?
-17760
What is the second derivative of -277*o**2 - 327*o**2 + 1 - 59*o + 616*o**2 wrt o?
24
What is the second derivative of -1006*q**3 - 46*q + 41*q - 605*q**3 + 6 - 8 wrt q?
-9666*q
Let d be 2*-4*14/(-16). Differentiate 13 + 2 - d*x**3 - 7 + 2*x**2 + 41 wrt x.
-21*x**2 + 4*x
Suppose -8 = -4*b + 5*u - u, 4*b + 4*u = 8. Find the third derivative of 4*p + p**b - 303*p**3 + 11*p - 3*p wrt p.
-1818
Let b(d) be the third derivative of -1/8*d**4 + 0*d**5 - 3/2*d**3 - 9/40*d**6 + 0*d + 222*d**2 + 0. Differentiate b(s) with respect to s.
-81*s**2 - 3
Suppose 0 = -h + 3, -3*i + 11*h = 14*h - 495. Find the third derivative of 2 - i*y**6 - 10*y**2 + 121*y**6 + 93*y**6 - 1 wrt y.
6240*y**3
Let i(j) be the first derivative of -j**4/2 + 769*j**3/3 + 7*j**2/2 + 500*j + 3700. What is the second derivative of i(h) wrt h?
-12*h + 1538
Let c(q) = q**2 - 34*q - 1. Let g be c(-3). What is the first derivative of g - 7*k**2 + 64 - 24*k + 3*k**2 - 76 + 142 wrt k?
-8*k - 24
Let q(u) = -32*u**3 - 641*u**2 - 82*u - 4670. Let b(w) = 3*w**3 + 64*w**2 + 8*w + 467. Let p(r) = 21*b(r) + 2*q(r). Differentiate p(y) wrt y.
-3*y**2 + 124*y + 4
Find the second derivative of 590*z + 1208*z + 685*z - 690*z + 1509*z**4 wrt z.
18108*z**2
Let m be ((-4)/10)/(2/(-15)). Suppose -112 = -m*a - a + 3*r, -5*r + 175 = 5*a. Find the third derivative of a*t**2 + 9*t**6 - 11*t**6 - 19*t**6 wrt t.
-2520*t**3
Let p = -36 - -40. Suppose -2*v - 3*q + 16 = 0, 0 = p*q - 5*q. Find the first derivative of v - 11 - 2 + 19*y wrt y.
19
Let o(q) be the third derivative of -q**8/168 - 11*q**6/60 + 89*q**5/15 - q**3/6 + 7*q**2 - 87. What is the third derivative of o(w) wrt w?
-120*w**2 - 132
Let o = 0 + 4. Suppose -3*s - 12 = -3*j, -o*s = 9*j - 8*j - 4. Find the second derivative of 0*h**3 + 142*h**4 + 0*h**3 - 31*h - 113*h**j wrt h.
348*h**2
Let y(x) be the third derivative of 1/105*x**7 + 15*x**2 + 0*x**4 - 2*x - 11/12*x**5 - 151/3*x**3 + 0 + 0*x**6. What is the first derivative of y(t) wrt t?
8*t**3 - 110*t
Let d(q) = -q**2 - 34*q + 5. Let v be d(-34). What is the third derivative of v*f**2 - 3*f**2 - 38*f - 50*f + 44*f - 85*f**6 wrt f?
-10200*f**3
Suppose 0 = -2*x - 4*y + 32, 3*x = y + y + 56. Let q be 4/x + 731/153. Differentiate 37 - 8 - q - 14*z**3 with respect to z.
-42*z**2
Let p(v) be the second derivative of 1727*v**6/30 + 53*v**4/3 + 2456*v. What is the third derivative of p(q) wrt q?
41448*q
Suppose -29*m + 772 + 330 = 0. Differentiate -42*k - 189 + 123*k - 44*k - 2*k**2 - m*k wrt k.
-4*k - 1
Suppose -14 = -b - 4*v, 12*v = -5*b + 7*v + 25. What is the third derivative of 240264*m - 178*m**b + 1 - 240264*m + 237*m**5 wrt m?
14220*m**2
Let f(t) be the third derivative of -t**6/24 - 196*t**5/15 - 2929*t**4/6 + 1880*t**2. Find the second derivative of f(m) wrt m.
-30*m - 1568
Let l(u) be the second derivative of 41/30*u**6 - 6*u + 0*u**3 + 3 + 0*u**5 + 0*u**4 + 53/2*u**2. What is the first derivative of l(q) wrt q?
164*q**3
Let m = -10 + 19. Find the third derivative of 30*c**2 - 9*c**6 + m*c**2 - 2*c**5 - 2 - 32*c**2 wrt c.
-1080*c**3 - 120*c**2
Let n be (-1 + -1)/((-261)/1218). Let m(g) be the first derivative of 0*g**4 - n*g**3 + 0*g**2 - 3*g**5 + 0*g - 5. Find the third derivative of m(c) wrt c.
-360*c
Let k = 100 - 32. Let v = k - 62. Find the first derivative of v - 9 - 28*l + 24 wrt l.
-28
Suppose -2*z - z + 32 = 2*w, 48 = 2*z - 4*w. What is the first derivative of -27*j**3 + 11*j**3 + 34*j**2 - 15 + z*j**3 wrt j?
-6*j**2 + 68*j
What is the derivative of 24*x**2 - 2705 - 14*x**2 - 91*x - x**2 wrt x?
18*x - 91
Find the second derivative of -887*u**2 + 2*u - 1083 - 1531 + 94*u**2 - 16*u**3 + 15*u**3 + 2*u**5 wrt u.
40*u**3 - 6*u - 1586
Let q(w) be the second derivative of -1121*w**5/5 - 3593*w**3/6 + w**2 + 8013*w. Find the second derivative of q(l) wrt l.
-26904*l
Let i(x) be the third derivative of -131*x**6/24 - 383*x**5/10 - 2990*x**2. Find the third derivative of i(d) wrt d.
-3930
Find the third derivative of 747*l**3 + 14*l**2 - 5 - 286*l**3 + 5 + 17*l**2 wrt l.
2766
Let j(h) = 6*h**2 + 3*h + 223. Let o(c) = 6*c**2 + 6*c + 222. Let k(g) = 8*g + 27. Let a be k(-4). Let b(p) = a*j(p) + 4*o(p). Differentiate b(w) wrt w.
-12*w + 9
Let x(p) = -313*p**5 - 3*p**3 - 897*p + 3. Let b(w) = -937*w**5 - 8*w**3 - 2691*w + 8. Let o(u) = -3*b(u) + 8*x(u). What is the second derivative of o(i) wrt i?
6140*i**3
Let o(w) = -1184*w**5 - 8*w**4 - 148*w + 8. Let x(d) = -d**5 + 2*d**4 - 2. Let j(f) = o(f) + 4*x(f). What is the second derivative of j(n) wrt n?
-23760*n**3
Find the first derivative of 432*y**2 - 546*y**2 - 542*y**2 - 1010 wrt y.
-1312*y
Let q be ((-48)/(-9))/((-4)/(-6)). Suppose -12 = 2*y - q*y. Find the third derivative of -6 + 27*x**3 + 4 + 11*x**2 + y wrt x.
162
Let v = -147 + 194. What is the first derivative of -239*q**3 + 0*q**2 + 277*q**3 - 2*q**2 - v wrt q?
114*q**2 - 4*q
Let d = -71 - -75. Let o be (6 - (-40)/(-12)) + d/(-6). What is the third derivative of -6*c**2 - c**2 - c**o - 20*c**4 + 3*c**4 wrt c?
-408*c
Let f(h) be the second derivative of 1347*h**5/20 - 5*h**3/6 - 173*h**2 + 770*h. Find the second derivative of f(i) wrt i.
8082*i
Suppose -60*z + 10 = -58*z. Find the third derivative of -435*g**3 + 0 + 6 + 431*g**3 + 12*g**z - 2*g**2 wrt g.
720*g**2 - 24
Differentiate -4366 + 459 + 575 - 1461*y**3 - 677*y**3 wrt y.
-6414*y**2
Let b(a) be the first derivative of -17/2*a**6 + 5/2*a**2 - 98 + 2/5*a**5 + 0*a**4 - a + 0*a**3. What is the second derivative of b(r) wrt r?
-1020*r**3 + 24*r**2
Suppose 89 + 86 = r. Let n be r/63 + (-4)/(-18). What is the second derivative of 30*i**4 + n*i - 33*i**4 + 8*i wrt i?
-36*i**2
Let d(z) be the third derivative of 243*z**8/56 + z**4/12 + 335*z**3/2 - z**2 + 1340. What is the second derivative of d(m) wrt m?
29160*m**3
Let y be (-42)/(-4) - (-1)/2. Find the second derivative of -y*d + 43*d**2 + 5*d - 71*d**5 - 43*d**2 wrt d.
-1420*d**3
Find the first derivative of 357*c**2 - 1355 - 1345*c**2 + 403 wrt c.
-1976*c
Find the second derivative of 4*q**5 + 2*q**4 - 4*q**5 + 381*q - 159*q**2 + 489*q - 95*q - q**5 wrt q.
-20*q**3 + 24*q**2 - 318
Let z(b) be the first derivative of -3317*b**2/2 - 12768*b - 13961. Differentiate z(a) wrt a.
-3317
Let h(z) = 3937*z**2 - 4438*z - 5. Let o(s) = 11813*s**2 - 13311*s - 17. Let u(d) = -7*h(d) + 2*o(d). Find the second derivative of u(g) wrt g.
-7866
Find the second derivative of -6665*x**4 + 32*x - 28*x**3 - 562 - 6*x**2 + 29*x**3 + 6*x**2 - 30*x wrt x.
-79980*x**2 + 6*x
Find the third derivative of -373*b**3 - 589*b**3 + 22 + b**2 + 217*b**3 - 974*b**3 + 8 wrt b.
-10314
Suppose 28 = 6*d + 8*d. What is the second derivative of 45*a**5 - 4 - 26*a**5 - 3*a - d wrt a?
380*a**3
Suppose -36*t + 2*t = -238. What is the derivative of 0 + 0*y + 93*y + t - 55 + 2 wrt y?
93
Let h(u) = 7*u + 89. Let f(o) = -9*o - 87. Let j(k) = k**3 - 18*k**2 - 5. Let l be j(18). Let d(q) = l*f(q) - 4*h(q). Differentiate d(r) with respect to r.
17
Let a(f) = 177*f**2 + 2*f + 1691. Let c(b) = 353*b**2 + 3*b + 3426. Let p(m) = -5*a(m) + 3*c(m). What is the derivative of p(g) wrt g?
348*g - 1
Find the third derivative of -112*i - 186*i + 2*i**2 - 145*i - 97*i + 99*i - 2826*i**5 wrt i.
-169560*i**2
Suppose 0 = 3*l - 8*l + 3*a + 61, -5*a - 65 =