 v*l wrt l?
360*l**2
Let l(m) = -m**2 - 20*m - 1. Let v(w) = 547*w**3 + 369*w**2 - 60*w - 3. Let r(d) = 3*l(d) - v(d). Find the third derivative of r(x) wrt x.
-3282
Let b(h) be the second derivative of 1/10*h**6 - 53/12*h**4 - 10*h + 2 + 0*h**3 + 0*h**2 + 2/5*h**5. What is the third derivative of b(t) wrt t?
72*t + 48
Let y(v) be the first derivative of -562*v**5 + 543*v**2 + v - 2418. Find the second derivative of y(o) wrt o.
-33720*o**2
Suppose 241*w - 199*w - 630 = 0. Let q(i) be the third derivative of -1/6*i**3 - w*i**2 + 0*i**5 + 0 - 1/24*i**4 + 0*i + 23/120*i**6. Differentiate q(u) wrt u.
69*u**2 - 1
Let l(p) = -p**3 + p**2 + p - 2. Let t(s) = 1380*s**3 - 449*s**2 + 3*s - 6. Let r(y) = -3*l(y) + t(y). What is the third derivative of r(g) wrt g?
8298
Let h = -227 + 238. Let v(m) = 3*m**2 - m + 1. Let f be v(1). Find the third derivative of 29*u**3 - 2*u**f - h*u**3 + 18*u**2 wrt u.
96
Find the first derivative of 2025*i**4 + i**2 - 824 - 1396 - i**2 wrt i.
8100*i**3
Let q(r) = r**2 - 4*r + 6. Let i be q(2). Suppose 0 = n + 4*f - 12, 0 = -i*n + 2*f - 0*f + 14. What is the derivative of 30 - n - 6 + w wrt w?
1
Let n(o) = -3565*o**2 + 950*o + 2. Let k(g) = 135471*g**2 - 36099*g - 77. Let v(t) = -2*k(t) - 77*n(t). Find the second derivative of v(c) wrt c.
7126
Let d(r) = 29*r + 118. Let h be d(-4). What is the third derivative of -19*n**2 + 14*n**h + 14*n**2 + 4*n**5 wrt n?
240*n**2
Let o(f) = 881*f**3 - 498*f**2 + 6*f - 12. Let v(z) = 880*z**3 - 496*z**2 + 5*z - 10. Let s(h) = -5*o(h) + 6*v(h). What is the third derivative of s(a) wrt a?
5250
Suppose 14*l - 4*l - 50 = 0. Let o(q) = -1 - 7*q + 12 - 3*q + 0*q. Let j(m) = -m + 1. Let s(x) = l*j(x) - o(x). Differentiate s(a) with respect to a.
5
Let b be (-2)/(3*(-2)/69). Find the second derivative of 12*n + 30*n**2 + 41*n**2 + b*n - 33*n**2 wrt n.
76
Let p(t) = -106*t**2 + 7*t + 4072. Let f(k) = -551*k**2 + 34*k + 20359. Let g(q) = 4*f(q) - 19*p(q). What is the first derivative of g(n) wrt n?
-380*n + 3
Let y = 29 - 75. Let a = y - -51. Find the first derivative of 2*q - 10*q - 11 - a*q - 3 wrt q.
-13
Let n(h) = 10*h - 77. Let f be n(20). What is the first derivative of 141*o**3 - 110 + f*o**3 - 101*o**3 wrt o?
489*o**2
Suppose 172*n = 167*n + 15. What is the third derivative of -13*o**n + 4*o**2 - 6*o**3 + 12*o**3 wrt o?
-42
Let o(x) = -x**2 + 10*x + 58. Let h be o(14). Find the first derivative of -22*q**h - 85*q**2 + 58*q**2 - 64 wrt q.
-98*q
What is the second derivative of b + 668*b**4 - 2*b**4 - 527 + 109 - 3*b - 4*b**3 + 5*b**3 wrt b?
7992*b**2 + 6*b
Let c be (-23 + 22)*(0 + -5 - -1). What is the second derivative of 33*z**2 + 24*z + c*z**2 - 9*z**2 wrt z?
56
What is the third derivative of 105*z**6 - 8147*z**2 + 16303*z**2 - 131 + 0*z**4 - 8152*z**2 + z**4 wrt z?
12600*z**3 + 24*z
Let p be (-1)/2 + (-6)/12. Let m = 18 + p. What is the third derivative of -4*q**6 - 558*q**5 + 558*q**5 + m*q**2 wrt q?
-480*q**3
Let t(p) be the second derivative of 0*p**2 + 0*p**5 + 0*p**4 + 2*p - 1 - 43/15*p**6 + 29/3*p**3. What is the second derivative of t(h) wrt h?
-1032*h**2
Suppose 0 = 2*u + 6, -5*a + 5 = -5*u + 15. Let q be (a + 58)*(-4)/(-4). What is the derivative of -2*m**3 - 38 + 2*m**3 - q*m**4 + 6*m**4 wrt m?
-188*m**3
Suppose 219 = 2*s - 421. Find the second derivative of 2*n**2 + 4*n**3 + 183*n + 175*n - s*n wrt n.
24*n + 4
Suppose 2*r - 1376 = -3*s, 3*r - 5*s = 329 + 1773. Suppose 3828 = 2*n - r. What is the third derivative of -2251*f**2 + 1 - 17*f**4 + n*f**2 - 1 wrt f?
-408*f
Let q(b) = 1270*b**2 - 2389*b + 22. Let k(f) = -423*f**2 + 796*f - 8. Let c(n) = -11*k(n) - 4*q(n). Find the second derivative of c(m) wrt m.
-854
Let q(t) be the first derivative of -473*t**2/2 - 764*t - 1128. What is the first derivative of q(y) wrt y?
-473
Suppose -635 - 717 = -8*n. Find the third derivative of -n*t + t**4 - t**4 + 169*t - 7*t**2 - 138*t**5 wrt t.
-8280*t**2
Find the second derivative of 20*k**2 + 62*k**2 + 59*k**2 - 689*k - 5*k**3 wrt k.
-30*k + 282
Let n(f) = 3668*f**3 + 5148*f**2 + 9*f + 27. Let z(y) = 7*y**2 - y - 3. Let g(l) = 2*n(l) + 18*z(l). What is the third derivative of g(i) wrt i?
44016
Let f(a) be the first derivative of -36 - 19/4*a**4 + 0*a + 34*a**2 + 0*a**3 + 1/3*a**6 + 0*a**5. Find the second derivative of f(z) wrt z.
40*z**3 - 114*z
Let x = -130 - -129. Let h be -4*x*(-6)/(-4). What is the second derivative of 4*q**2 + 3*q - h*q - 7*q**2 wrt q?
-6
Differentiate -444*g**4 + 7529 + 8308 - 3*g**2 - 15150 with respect to g.
-1776*g**3 - 6*g
Suppose 98 = 3*t + 92. Find the third derivative of s**2 + 2*s**t + 7*s + s + 231*s**6 + 9*s**2 + 0*s**2 wrt s.
27720*s**3
Suppose -4*u - 3*c = -1 - 13, -5*u + 2*c + 6 = 0. Find the third derivative of -4*z**4 - 3*z**5 + 176*z**u - 397*z**2 + 147*z**2 wrt z.
-180*z**2 - 96*z
Let u be (-5)/(-10)*24 - -2. Let l be (-192)/(-14) + 4/u. What is the second derivative of -37*f - 2*f**3 + l*f - 15*f**3 wrt f?
-102*f
What is the second derivative of -2*l + 5319 - 3745 - 4073*l**2 - 3394 - 8091*l**2 - 2761 wrt l?
-24328
What is the third derivative of 4*z**3 + 5*z**4 + 370*z**2 - 818*z**5 + 839*z**5 + 280*z**2 - 5*z**4 wrt z?
1260*z**2 + 24
Let a(c) be the third derivative of 0*c - 59*c**2 + 0*c**6 - 1/24*c**4 + 0 + 0*c**5 - 13/6*c**3 + 1/14*c**7. What is the second derivative of a(k) wrt k?
180*k**2
Suppose -281*r + 273*r = -48. What is the third derivative of -r + 11925*v**2 - 2*v**5 - 90*v**5 - 11917*v**2 wrt v?
-5520*v**2
Find the third derivative of 182*l**3 + 139*l**3 + 43*l**2 + 25*l**2 + 39*l**2 - 49*l**2 wrt l.
1926
What is the third derivative of 3*t**2 + 192*t + 520*t**6 + 74*t**6 - 710*t + 2*t**4 wrt t?
71280*t**3 + 48*t
Let g be (-16514)/(-69) - (-1)/(-3). Find the third derivative of 25*v**3 + 110*v**3 + 265*v**2 - g*v**2 - 20*v**3 wrt v.
690
Let k(l) be the first derivative of 23*l**5 - 453*l - 670. What is the derivative of k(n) wrt n?
460*n**3
Let q(b) = b**3 + 12*b**2 + 24*b + 50. Let a be q(-9). Find the third derivative of -t**4 - 21*t**4 - 79*t**3 + 189*t**2 + a*t**3 - 4*t**4 wrt t.
-624*t - 12
Let u(v) = 8*v**3 + 3*v**2 - 2*v - 3. Let x be u(2). Let n = x - 60. Differentiate -53*m**3 + 13*m**3 + 18*m**3 + n*m**3 + 13 wrt m.
-39*m**2
Let f(o) be the second derivative of -488*o**6/15 - 361*o**3/6 + 6*o - 3. Find the second derivative of f(q) wrt q.
-11712*q**2
Suppose 0 = -2*z + 5*p + 31, -z + p = -6 - 2. What is the second derivative of 48*u**z - 267*u + 197*u - 7*u**3 wrt u?
246*u
Let q(c) be the second derivative of -1249*c**7/21 - 421*c**3/2 - 41*c + 1. What is the second derivative of q(r) wrt r?
-49960*r**3
Let j be (10/(-3))/(1/(15/2)). Let d be j/(-5)*34/5. What is the third derivative of o**6 - 48*o**2 + 5*o**6 + d*o**2 wrt o?
720*o**3
Let t = -79 + 76. Let v be 72/(-20)*(-240)/9 + t. Differentiate v*j - 20 + 5 - 52*j - 58*j wrt j.
-17
Let c(v) = -127*v**2 - 7*v + 63. Suppose 3*y + 6 = -4*n - n, 3 = 3*y + 2*n. Let d(i) = 64*i**2 + 4*i - 31. Let j(o) = y*c(o) + 5*d(o). Differentiate j(q) wrt q.
-122*q - 1
Let o(b) be the second derivative of -5917*b**5/20 + 79*b**4/6 + 18*b**2 - 2901*b + 2. Find the third derivative of o(w) wrt w.
-35502
Let x(i) be the first derivative of -674*i**3/3 + 766*i + 7. What is the first derivative of x(z) wrt z?
-1348*z
Let g(r) be the first derivative of -2*r**3/3 + 2399*r**2/2 - 913*r + 2336. Find the first derivative of g(q) wrt q.
-4*q + 2399
Suppose -5*v = -5*l + 75, -44 = -2*l - 0*v - 5*v. Find the second derivative of -49*k**2 + 5*k + l*k + k wrt k.
-98
Let b = -23 - 19. Let d = b + 60. What is the first derivative of -21*l**4 + 9*l**4 + d - 9 wrt l?
-48*l**3
Let o(k) be the first derivative of 55*k**4/4 - k**3 + 2206*k - 756. Find the first derivative of o(j) wrt j.
165*j**2 - 6*j
Let z(l) be the third derivative of 0*l**6 + 0*l**5 + 0*l + 0*l**3 + 55/24*l**4 + 109*l**2 - 26/105*l**7 + 0. Find the second derivative of z(b) wrt b.
-624*b**2
Let x(z) be the second derivative of -1777*z**5/20 + 828*z**2 + 229*z - 1. What is the first derivative of x(h) wrt h?
-5331*h**2
Let x(b) be the first derivative of 111*b**4/2 + 2*b**3/3 + b**2/2 - 4075*b - 219. What is the first derivative of x(w) wrt w?
666*w**2 + 4*w + 1
Suppose 47 = 4*g - 25. Suppose -18*i = -15*i - g. What is the third derivat