2*n**3
Let r(v) be the third derivative of v**8/168 + 337*v**6/20 + v**5/60 + 11*v**4/8 + v**3/3 - v**2 + 9*v - 70. Find the third derivative of r(o) wrt o.
120*o**2 + 12132
Let b(f) = 75*f**2 - 103*f + 3216. Let n(p) = 32*p**2 - 52*p + 1608. Let x(q) = -3*b(q) + 7*n(q). Differentiate x(m) wrt m.
-2*m - 55
Suppose 2406 + 5052 = 11*k. What is the third derivative of -566*q**3 + 88*q**2 + 5 - 5 + k*q**3 wrt q?
672
Find the second derivative of -4213*n**4 + 125*n + 348873 - 348869 + 332*n**4 wrt n.
-46572*n**2
Find the first derivative of 836 - 248*z**2 + 891*z**2 - 29 - 447 + 1039 wrt z.
1286*z
Let q(t) = 218*t**3 - 80*t**2 + 64*t. Let y(g) = -g**3 - g**2 - 8*g. Let s(m) = 3*q(m) + 24*y(m). What is the third derivative of s(r) wrt r?
3780
Let i(p) be the third derivative of 257*p**5/6 - 2559*p**4/8 + 3184*p**2. Find the second derivative of i(u) wrt u.
5140
Let w(s) be the first derivative of 8197*s**5/5 - 313*s**2 + 8338. What is the second derivative of w(r) wrt r?
98364*r**2
Let d(p) be the second derivative of -p**6/3 + 9*p**5/20 - 1291*p**4/12 + 1532*p. What is the third derivative of d(m) wrt m?
-240*m + 54
Let u(t) be the second derivative of 0 - 1/10*t**5 + 0*t**3 + 107/2*t**2 + 31/4*t**4 - 212*t. What is the first derivative of u(o) wrt o?
-6*o**2 + 186*o
Suppose 17 = -2*k - 1. Let u be k/(-15) - (-112)/5. Find the second derivative of u*w**2 + 12*w + 13*w**5 - 23*w**2 wrt w.
260*w**3
Let v(s) be the third derivative of -1811*s**6/30 - 301*s**4/6 - s**3/6 - 2*s**2 + 346. What is the second derivative of v(a) wrt a?
-43464*a
Let c(p) be the first derivative of -81 + 0*p + 0*p**2 + 23/2*p**4 + 74/3*p**3. Find the third derivative of c(x) wrt x.
276
Suppose -3*m + 41 = 35. Find the third derivative of -7*i**2 + 88*i**4 + 0*i**2 + i + 71*i**4 - 5*i**m wrt i.
3816*i
Suppose 5*v + 35 = g, 2*g - 2 - 26 = -4*v. Let s = 33 - g. Find the second derivative of 51*j**5 - 47*j**5 - s*j + j wrt j.
80*j**3
Let x(k) = 129*k**4 + 3*k**3 + 2*k**2 - 409. Let l(r) = -259*r**4 - 7*r**3 - 5*r**2 + 818. Let d(p) = -3*l(p) - 7*x(p). Find the third derivative of d(g) wrt g.
-3024*g
Suppose 2*l + 2 = -2*f + 10, 0 = -l + 2*f - 2. What is the third derivative of -121 - 2*u**4 + 120 - 5*u**2 + l*u**2 - u**5 wrt u?
-60*u**2 - 48*u
Let p = -20 - -5. Let x be -1 + 5*p/(-25). What is the first derivative of -850*o**x + 850*o**2 + 18*o**3 - 3 wrt o?
54*o**2
Let x(m) be the third derivative of 13*m**7/210 + 9*m**6/8 + 3353*m**5/60 - 10286*m**2. Find the third derivative of x(q) wrt q.
312*q + 810
Let r(x) = -42*x - 44. Let s(d) = 206*d + 228. Let u(t) = -410*t - 459. Let q(f) = -5*s(f) - 2*u(f). Let h(k) = -3*q(k) + 14*r(k). Differentiate h(o) wrt o.
42
Let j = 326 + -324. What is the second derivative of 4*x**5 + 75503*x**j + 43*x - 75503*x**2 - 7*x**4 wrt x?
80*x**3 - 84*x**2
Let f = 194 + -192. What is the derivative of 6*p**4 - 8*p**4 - 28 + p**4 + 37*p**f + 2*p**4 wrt p?
4*p**3 + 74*p
Let x(r) be the third derivative of -r**5/60 + 161*r**4/24 + 29*r**3 + 1099*r**2. Differentiate x(c) with respect to c.
-2*c + 161
Find the first derivative of -140*y - 1031 - 326 + 17 - 502 + 206 wrt y.
-140
Let u(p) be the first derivative of -1099*p**3/3 - 383*p**2/2 - 3*p + 7288. Find the second derivative of u(n) wrt n.
-2198
Let y(h) = 2*h**2 + 10*h. Let q be y(-5). Suppose v + 5*j - 26 = 0, 2*j - 10 = -q. What is the third derivative of 1 - v + 12*x**4 + 16*x**2 - 12*x**2 wrt x?
288*x
Let n(l) = -13*l - 5. Let h(z) = -26 + 9 - 12*z + 12. Let x be -10*((-20)/8)/(-5). Let w(r) = x*h(r) + 4*n(r). What is the first derivative of w(o) wrt o?
8
What is the third derivative of 359*i**4 + 3781*i + 579*i**4 - i**2 + 3680*i - 7365*i wrt i?
22512*i
Let q = -147 - -253. What is the second derivative of 14949*a**3 + 8*a**5 - 14949*a**3 + 9*a + q*a wrt a?
160*a**3
Find the first derivative of -2510 + 5792 + 2368*l + 2810*l + 349*l + 3396 wrt l.
5527
Suppose 14*r - 168 - 154 = 0. Find the third derivative of r*x**6 - 53*x**2 - 3*x**4 - x - 215 + 215 - 2*x**2 wrt x.
2760*x**3 - 72*x
Let n(p) be the second derivative of 1/2*p**2 + 19/5*p**5 - 2*p - 2 + 0*p**3 - 19/12*p**4. Find the third derivative of n(r) wrt r.
456
Suppose 0 = -4*b - 5*w - 13, -9*b + 7 = -10*b - 2*w. What is the first derivative of 115 + 24*d**3 + 145*d**3 - 275*d**b wrt d?
-318*d**2
Let a = 1923 - 1923. Let q(m) be the second derivative of 1/6*m**3 + a + 0*m**2 + 0*m**4 + 1/20*m**5 + 8*m. Find the second derivative of q(i) wrt i.
6*i
Let c(o) = -10957*o**3 - 79*o**2 + 49*o + 2. Let z(g) = -10953*g**3 - 78*g**2 + 58*g + 2. Let k(j) = 6*c(j) - 5*z(j). Find the third derivative of k(p) wrt p.
-65862
Let f(d) = -54*d - 255. Let a be f(-9). Find the second derivative of a*o - 11152*o**3 + 27*o + 11154*o**3 wrt o.
12*o
Find the third derivative of 2 + 61*d + 252*d**2 + 0 - 89*d**3 - 2 - 258*d**2 wrt d.
-534
Let l(w) be the first derivative of -1058*w**5/5 - 989*w**3/3 - 407. Find the third derivative of l(q) wrt q.
-25392*q
Suppose -15*g - 14 = -89. What is the second derivative of 2*l + 72*l**4 - 2*l - 11*l - g*l wrt l?
864*l**2
Suppose -u + 10 = -5*w - 7, 12 = 4*w. Let i = u + -30. What is the second derivative of -8*l**i - 39*l + 320 - 320 wrt l?
-16
Let x(i) be the first derivative of 0*i**3 - i + 0*i**4 + 7/2*i**2 - 78 + 21/5*i**5. Find the second derivative of x(u) wrt u.
252*u**2
Suppose 406 = -5*v + s, -4*v + 102 = -5*v - 5*s. Let o = v + 82. Find the second derivative of -2*j + o*j - 28*j**2 + 7*j wrt j.
-56
Let s = 69 + -103. Let z be 3*4/(-102) - 956/s. What is the derivative of 17*c + z - 78*c + 8*c + 15*c wrt c?
-38
Let x(n) = -26823*n - 1322. Let w(p) = 8940*p + 430. Let b(i) = 17*w(i) + 6*x(i). Find the first derivative of b(j) wrt j.
-8958
Let m(s) = s**3 + 11*s**2 + 22*s + 19. Let x be m(-8). Find the first derivative of 31*f**2 + x + 35 - 12*f**2 - f wrt f.
38*f - 1
What is the first derivative of 79466*w - 79464*w - 2046 - 1340 + 3592*w**2 wrt w?
7184*w + 2
Let g(j) be the first derivative of -83*j**3 + 5*j**2/2 - 16*j - 1233. What is the second derivative of g(d) wrt d?
-498
Suppose o + j + 4 = 0, -j = o + 3*o + 1. Let y(z) = 6*z - 2. Let k be y(o). Differentiate 1 + 0*g**k - 3*g**4 - 8 with respect to g.
-12*g**3
Find the first derivative of 198 - 513*f**3 + 246 - 209*f**3 - 3*f + 3*f wrt f.
-2166*f**2
What is the derivative of -3*x**2 + 12996 + 4*x**4 + 42*x**3 + 24205*x - 24205*x - 19*x**3 wrt x?
16*x**3 + 69*x**2 - 6*x
Suppose 4*v + 4*i = 1704, 0 = 5*i + 1 + 24. Find the third derivative of 6*l**4 + 86*l**2 - v + 24*l**2 - 10*l**3 + 431 wrt l.
144*l - 60
Suppose -43 = -15*v - 13. Find the second derivative of 10*u - 2*u**2 - 2*u + 69*u**3 + u**v - 2 - 4*u wrt u.
414*u - 2
Let s(j) be the second derivative of 22 + 247/12*j**4 + 0*j**2 + 35*j**3 - j. Find the second derivative of s(c) wrt c.
494
Find the third derivative of -13111*i**5 + 16*i**3 - 684*i**2 - 7*i**3 + 13103*i**5 wrt i.
-480*i**2 + 54
Let d = 668 - 551. What is the third derivative of d*r**2 + 357*r**3 - 256*r**3 - 233*r**3 wrt r?
-792
Let l be 14 - (70/(-5) + 28). Let d(s) be the first derivative of -10 + l*s - 4*s**3 - 15/2*s**2. Find the second derivative of d(m) wrt m.
-24
Let s be -2 + 2/2 + 72. Let p = -8740 - -8764. Differentiate -36 - 30 + p*g**3 + s with respect to g.
72*g**2
Let n(f) be the second derivative of -83*f**8/56 + f**6/15 + 734*f**4 - 2652*f. Find the third derivative of n(g) wrt g.
-9960*g**3 + 48*g
Let i = 4 - -1. What is the third derivative of 148*u**3 + 38*u**5 - 148*u**3 + u**4 + 8*u**2 - i - 1 wrt u?
2280*u**2 + 24*u
Let t(x) be the second derivative of -6 + 53/6*x**4 - 1/21*x**7 - 4*x + 0*x**6 + 39/5*x**5 + 1/6*x**3 + 0*x**2. What is the third derivative of t(m) wrt m?
-120*m**2 + 936
Let x(k) be the third derivative of -4541*k**7/105 - 89*k**5/30 + 5*k**4/24 - 7597*k**2. What is the third derivative of x(s) wrt s?
-217968*s
What is the third derivative of -v**6 - 9*v**2 - 3*v**2 + 6*v**2 + 4*v**6 + 37*v**2 + 61*v**5 - 19 wrt v?
360*v**3 + 3660*v**2
Find the second derivative of 185*w - 92*w - 92*w - 1 - 7 - 448*w**2 wrt w.
-896
Let x(z) = 3*z**2 - 4*z - 21. Let n be x(-6). Differentiate 15 - 125*l**2 + n + 7 with respect to l.
-250*l
Let g be ((-15)/(-6))/(2/4). Let p = -89 + 174. Find the second derivative of 6