- 15. Let i be (-20)/9 - (-2)/9. Let c be f(i). Find the third derivative of 50*j**6 + c*j**2 - 6*j**2 - 3*j**2 + 3*j**2 wrt j.
6000*j**3
Let c(h) = h**2 + 11*h + 16. Let d be (3/4)/(8/(-128)). Let o be c(d). What is the first derivative of o + 6*q**2 + 5 + 3*q**2 - 4 wrt q?
18*q
Suppose 3*g - 2*z - 20 = 0, -z + 2*z = -3*g + 35. Suppose -4*u - 2*d + g = 0, u + 0 - 3 = -d. Differentiate 1 + 3 - 5*m**2 - 8*m**4 + 5*m**u with respect to m.
-32*m**3
Let g(v) = 2*v**3 + 1428*v**2 - 4*v - 19. Let h(f) = f**3 + 715*f**2 - 2*f - 5. Let z(i) = -4*g(i) + 9*h(i). What is the second derivative of z(n) wrt n?
6*n + 1446
Let z(g) be the second derivative of 1319*g**7/42 + 577*g**3/6 + 3*g**2/2 - 22*g + 1. What is the second derivative of z(u) wrt u?
26380*u**3
Find the second derivative of -5090*z + 2*z**3 + 14949*z**2 - 7477*z**2 - 7477*z**2 - 2*z**4 + 59*z**4 wrt z.
684*z**2 + 12*z - 10
Let b(j) be the first derivative of -119/2*j**2 + 72*j + 47. What is the derivative of b(n) wrt n?
-119
Suppose -5*h = -5*n + 3*n + 24, 2*n - 6 = -4*h. Find the third derivative of n*k**3 - 26*k**2 + 2*k + 27*k**2 - 3*k**3 wrt k.
24
Let i(m) = 45*m + 69. Suppose -2*g - 3*s - 3 = 0, 6*s + 21 = g + 3*s. Let v(o) = -22*o - 35. Let j(r) = g*i(r) + 10*v(r). Differentiate j(x) with respect to x.
50
Let a(w) be the second derivative of -w**4/6 + 2099*w**3/3 - 5353*w**2/2 - 5320*w. Differentiate a(d) wrt d.
-4*d + 4198
Let h(u) be the third derivative of 541*u**5/20 + 2381*u**4/24 + 543*u**2. What is the second derivative of h(q) wrt q?
3246
Let k(x) be the second derivative of 381*x**5/5 - x**4/6 + 24*x**3 - 3844*x. What is the third derivative of k(c) wrt c?
9144
Let s(x) be the first derivative of 4*x**5/5 + 163*x**4 - 7*x**3/3 - 24*x**2 - 2*x + 4764. What is the third derivative of s(z) wrt z?
96*z + 3912
Suppose -130 - 245 = -15*q. What is the derivative of 29*z - q - 41*z + 41*z wrt z?
29
Find the second derivative of -434 + 37 - 1824 + 1661*w - 1838*w**5 - 1660*w wrt w.
-36760*w**3
Let j be (5 - 3)*9/2. Suppose v - 4*v + j = 0. What is the first derivative of 9 - 227*a**v + 27*a**4 + 227*a**3 wrt a?
108*a**3
Find the third derivative of 6*i**3 - 473*i**4 - 3*i - 4*i - 264*i**2 + 96*i**2 wrt i.
-11352*i + 36
Let d(u) be the third derivative of -709*u**7/30 + 229*u**5/60 + 28*u**2 + u. What is the third derivative of d(f) wrt f?
-119112*f
Find the third derivative of 48*r**2 - 34*r + 1081*r**3 - 30*r - 8 + 67*r**2 + 64*r wrt r.
6486
What is the second derivative of 1285*x + 952*x + 1852*x**3 - 415*x + 100*x**3 + 393*x**3 wrt x?
14070*x
What is the derivative of -7251 - 6963*q + 19469*q - 6646 + 736 wrt q?
12506
What is the third derivative of -5753 + 3853*w**3 + 3*w + 5753 - 3*w - 1714*w**2 wrt w?
23118
Let z(b) = b**2 + b - 16. Let w be z(0). Let s = -11 - w. What is the third derivative of 0*x**s - x**5 + 111*x**2 - 92*x**2 wrt x?
-60*x**2
Let q(r) be the first derivative of 64*r**6 - r**4/2 + 23*r**2 + 10*r - 7679. What is the second derivative of q(n) wrt n?
7680*n**3 - 12*n
Suppose 22*y = 23*y - 5*j + 8, y - j = 0. Find the second derivative of -25*w**2 + 5*w - 21*w**y - 20*w**2 + 36*w**2 wrt w.
-60
Let q = -272 + 307. What is the third derivative of -b**2 - 128*b**3 + 79 - q - 29 wrt b?
-768
Let a(y) be the second derivative of 1/20*y**5 - 1 + 0*y**2 + 1/2*y**4 - 5/6*y**6 + 0*y**3 + 3*y. What is the third derivative of a(m) wrt m?
-600*m + 6
Let h(w) be the first derivative of 34*w**5/5 + 31*w**4/4 + 265*w**2/2 + 3037. What is the second derivative of h(g) wrt g?
408*g**2 + 186*g
Let p(k) = -1254*k - 407. Let c(n) = -n + 1. Let d(l) = 9*c(l) - p(l). Differentiate d(z) wrt z.
1245
Let z(p) = 1990*p**2 + 2257. Let c(u) = -1991*u**2 - 2260. Let x(i) = 3*c(i) + 2*z(i). Differentiate x(q) wrt q.
-3986*q
Let h(p) be the first derivative of -3*p**5/5 - 160*p**2 + 3730*p - 3928. Differentiate h(q) with respect to q.
-12*q**3 - 320
Let o be ((-4)/(-22) + (-9)/(-11))*30/10. Let t(b) be the first derivative of -13*b + 0*b**2 + 9 + 4/3*b**o. What is the derivative of t(n) wrt n?
8*n
Let x(t) = t**3 - t**2 - 1. Let m(y) = -1283*y**3 + 6*y**2 - 985*y + 6. Let g(i) = -m(i) - 6*x(i). What is the second derivative of g(b) wrt b?
7662*b
Let d(x) = 2*x**3 - 3*x**2 - 7*x + 2229. Let p(y) = -4*y**3 + y**2 + 6*y - 2227. Let k(z) = 6*d(z) + 7*p(z). Differentiate k(s) with respect to s.
-48*s**2 - 22*s
Find the second derivative of -39*d**4 + 85*d**4 + 363*d + 302*d wrt d.
552*d**2
Let r(n) = -n**3 + 9*n**2 - 13*n - 4. Let w be r(7). Suppose -w*t = 3*d - 108, -23 = -3*d - 5*t + 87. Find the first derivative of -11*p**3 + 59 - d - 36 wrt p.
-33*p**2
Suppose -5 = -3*o + 4. Suppose -o*y = -9 - 3. What is the third derivative of -2*g**y + 13*g**4 - 11*g**4 + 11*g**6 + g**2 wrt g?
1320*g**3
Let p be 24/16 - (-14)/4. Find the second derivative of 0*b**2 - 113*b**4 + 10*b**p - 5*b**2 + 113*b**4 + 70*b wrt b.
200*b**3 - 10
Let c = 39 + -33. Let d be (-1 - 3) + c + 0. Find the third derivative of -5*u**5 + u**5 - 605*u**2 + 595*u**d wrt u.
-240*u**2
Let f(j) = j**2 + 7*j + 4. Let l be f(0). What is the third derivative of -160*o**2 + 44*o**3 + 32*o**4 - 44*o**3 - 32*o**l + 156*o**6 wrt o?
18720*o**3
Let g(r) = 3*r**2 - 1. Let y(a) = 62*a**2 + 216*a - 6. Let f(n) = n + 8. Let z be f(-2). Let c(q) = z*g(q) - y(q). Find the second derivative of c(u) wrt u.
-88
What is the third derivative of -5*o**4 + 312 + 172 + 133*o**3 + 3*o**4 - o**2 - 115*o**3 + 46*o**5 wrt o?
2760*o**2 - 48*o + 108
Let z(b) be the first derivative of -529*b**2 - 263*b + 708. Find the first derivative of z(t) wrt t.
-1058
Let x(z) be the third derivative of -4367*z**7/210 + 361*z**5/5 + 4492*z**2. What is the third derivative of x(h) wrt h?
-104808*h
Let j = 571 + -486. Let u(z) = 715*z + 3500. Let m(p) = 51*p + 250. Let c(h) = j*m(h) - 6*u(h). Differentiate c(y) with respect to y.
45
Let q = 833 + -165. What is the second derivative of -17*h - 2*h**3 + 568*h**2 + 86*h - q*h**2 wrt h?
-12*h - 200
Suppose -13*u + 509 + 1103 = 0. What is the first derivative of 269 + 4*i**3 + 172*i**4 - 4*i**3 - 429 + u*i**4 wrt i?
1184*i**3
Let h(w) be the second derivative of -55*w**7/42 - w**4/3 + 29*w**3/6 - 7*w**2 + 6*w - 123. What is the second derivative of h(v) wrt v?
-1100*v**3 - 8
Let r(z) = 412*z - 483. Let w(v) = 5355*v - 6290. Let u(l) = -40*r(l) + 3*w(l). Find the first derivative of u(m) wrt m.
-415
Let d be 10 - ((-15)/(-5) + -4). Suppose -5*x + 14 = -d. What is the third derivative of -1 - 5*y**2 + 1 - 86*y**5 + 106*y**x wrt y?
1200*y**2
Let z(a) = 1441*a**3 + 36*a - 1349. Let r(f) = 360*f**3 + 8*f - 337. Let y(c) = 45*r(c) - 10*z(c). Find the first derivative of y(l) wrt l.
5370*l**2
Let v(o) be the first derivative of -5*o**6/2 - 121*o**4/4 + 2*o**3 - 35*o**2/2 - 832. Find the third derivative of v(j) wrt j.
-900*j**2 - 726
Let h(k) be the first derivative of 0*k**3 + 69 + 0*k + 2*k**5 + 35*k**2 + 3/4*k**4. What is the second derivative of h(n) wrt n?
120*n**2 + 18*n
Let x(a) be the third derivative of -a**7/105 - 39*a**5/20 - a**4/8 - 247*a**3/2 + 486*a**2 - a. Find the second derivative of x(o) wrt o.
-24*o**2 - 234
What is the first derivative of 419*h**2 + 64*h**2 + 228*h**2 + 226 wrt h?
1422*h
Let c be (-2224)/(-40) - (-2)/5*1. Differentiate -29*f**4 + 2*f**3 - c - 10*f**4 + 11*f**4 with respect to f.
-112*f**3 + 6*f**2
Let k(g) = 12*g - 9. Let o be k(7). Let l = 99 - o. Find the first derivative of -14*j**4 - l*j**4 + 13*j**4 + 19 wrt j.
-100*j**3
Suppose 14 - 53 = 13*q. Let g(s) = -s + 2. Let m(f) = 72*f - 55. Let y(u) = q*g(u) + m(u). What is the derivative of y(b) wrt b?
75
Let w(m) = -m**4 + 468*m**2 + 3*m - 645. Let c(g) = -3*g**4 + 1406*g**2 + 8*g - 1935. Let s(r) = -4*c(r) + 11*w(r). Find the first derivative of s(v) wrt v.
4*v**3 - 952*v + 1
Let k be (-2)/(-2)*3/1. Suppose 5*j = 7 + k. What is the derivative of 775*c - 775*c + 23 + 35*c**j wrt c?
70*c
Let l(u) = 3*u**4 - u**3 - u**2 + 5*u. Let b(o) = -87*o**4 + 4*o**3 + 3*o**2 - 775*o. Let q(t) = -b(t) - 4*l(t). What is the second derivative of q(r) wrt r?
900*r**2 + 2
Let l(b) be the second derivative of 0*b**2 + 1/6*b**3 + 0*b**6 + 16 - 9*b + 0*b**5 + 103/56*b**8 + 15/4*b**4 + 0*b**7. Find the third derivative of l(a) wrt a.
12360*a**3
Suppose -14 = -5*p + 16. Le