**2 - 107*o + 775. Let z(q) = -32*q**3 + 39*q**2 + 321*q - 2328. Let l(k) = -11*d(k) - 4*z(k). Find the first derivative of l(m) wrt m.
21*m**2 - 4*m - 107
Suppose 0*t + 320 = 16*t. What is the second derivative of -8*z + t*z**3 + 13*z + 82*z wrt z?
120*z
Find the third derivative of 17*l**3 - 5987*l**6 - l**2 - 28*l**3 + 3723 + 11*l**3 wrt l.
-718440*l**3
Let w(l) = -l**3 - l**2 + 2*l + 2. Let f(d) = 394*d**3 - 5*d**2 + 272*d + 10. Let t(q) = f(q) - 6*w(q). Find the second derivative of t(j) wrt j.
2400*j + 2
Let y = -6931 + 12434. What is the second derivative of 94*b + 5612*b**2 + b**3 + 14*b - y*b**2 wrt b?
6*b + 218
Let n(y) = y + 15. Let h be n(3). What is the first derivative of h*m + 31 + 34 - 61 wrt m?
18
Let m(j) be the third derivative of 0 - 7/24*j**4 - 149/120*j**6 - 1/10*j**5 + 0*j**3 - 160*j**2 + 0*j. What is the third derivative of m(r) wrt r?
-894
Let n = 129 + -97. Find the third derivative of -377 + 8*y**5 - n*y**2 + 377 wrt y.
480*y**2
Let m(g) be the third derivative of 2057*g**4/24 + 526*g**3/3 + 577*g**2 + 1. Differentiate m(u) wrt u.
2057
Let r(u) be the second derivative of 79/10*u**5 - 1/6*u**3 + 0 + 9*u**2 - 173*u + 0*u**4. Find the second derivative of r(f) wrt f.
948*f
Let i(w) be the second derivative of 1103*w**5/10 + 31*w**4/6 - 7*w**3 - 249*w - 12. What is the third derivative of i(o) wrt o?
13236
Let l(t) = -56*t - 16. Let x(m) = 3*m - 5. Let d(u) = -7*u + 11. Let n(a) = -4*d(a) - 9*x(a). Let v(w) = l(w) - 4*n(w). Differentiate v(o) with respect to o.
-60
Let h(v) be the first derivative of v**2 + 27/4*v**4 + 0*v**3 + 10 + 124*v. What is the first derivative of h(k) wrt k?
81*k**2 + 2
What is the first derivative of 5*p**2 - 13*p**4 - 1999*p - 12028 - 5*p**2 + 2123*p wrt p?
-52*p**3 + 124
What is the first derivative of -1223*h**3 + 11*h**2 + 6*h**2 + 911 + 28*h**2 - 45*h**2 wrt h?
-3669*h**2
What is the third derivative of -5196*w**4 + 0*w + 6208*w**4 - 132*w**2 + 0*w wrt w?
24288*w
Suppose 11*v - 8*v = -12*v. Let z(d) be the first derivative of 4 + 7/4*d**4 + 0*d**2 - 4/3*d**3 + v*d. What is the third derivative of z(x) wrt x?
42
What is the derivative of -35*h - 31*h**3 - 94*h - 918 + 29*h**3 - 2321 wrt h?
-6*h**2 - 129
What is the third derivative of 95*m**2 - 33563*m**3 + 33685*m**3 + 23*m - 18*m wrt m?
732
Suppose 5*k + 90 = 4*b, 8*k - 2*b = 7*k - 18. Let v(c) = 130*c - 200. Let x(d) = -456*d + 702. Let q(o) = k*v(o) - 5*x(o). What is the derivative of q(n) wrt n?
-60
Let u be ((-4)/(-10))/((-4)/1780*-1). What is the first derivative of 179*h + 30*h**2 - 19 - u*h - 48 wrt h?
60*h + 1
Let y = -42 + 44. Suppose 5*b = 3*z, -y*b + 6*z - 3*z = 0. What is the second derivative of b*f + 23*f + 16 - 11*f**2 - 16 wrt f?
-22
Let t(p) be the first derivative of -624*p**7/7 + 1060*p**3 - 1149. What is the third derivative of t(l) wrt l?
-74880*l**3
Let v(h) be the third derivative of 413*h**6/120 - 1073*h**4/24 + 480*h**2. Find the second derivative of v(r) wrt r.
2478*r
Let q(y) = -21*y**2 + 41*y + 6. Let v(x) = -x**2 - 1. Suppose 19 - 8 = -11*u. Let l(d) = u*q(d) - 6*v(d). Find the second derivative of l(b) wrt b.
54
Let o(q) be the first derivative of 1112*q**5/5 + 2741*q - 762. What is the derivative of o(y) wrt y?
4448*y**3
Let v be 207/54 - (-4)/24. Let r = -4 + 8. Differentiate 30*z**r - 10*z**4 + v - 12 - 14*z**4 wrt z.
24*z**3
Let k be ((-8)/(-14))/(4*(-3)/(-84)). Let c(y) = -123*y**2 - 270. Let i(z) = 25*z**2 + 54. Let j(o) = k*c(o) + 21*i(o). Find the first derivative of j(u) wrt u.
66*u
Suppose 31 = 3*x - 5*y, -4*x - 4*y - 44 = -8*x. Let a = 9 - 6. What is the third derivative of 18*r**a + 0*r**3 + 10*r**3 + x*r**2 wrt r?
168
Let q(k) = 0 - 30*k - 2 + 13*k + 17*k - k**2. Let h(c) = 110*c**2 - 162*c + 24. Let g(n) = h(n) + 12*q(n). Find the second derivative of g(a) wrt a.
196
Suppose 21 = -14*o + 18*o - h, -4*h - 36 = -4*o. What is the second derivative of -q + 5 - 3*q**2 + 9*q**2 + 15*q**2 - o*q**2 + 17*q**2 wrt q?
68
Let c(t) be the second derivative of 7*t**6/90 + 7*t**5/20 - t**4/4 + t**2/2 + t. Let k(h) be the third derivative of c(h). Differentiate k(x) wrt x.
56
Let j(s) = -847*s**3 - 6*s**2 + 7*s + 1291. Let o(i) = -1692*i**3 - 15*i**2 + 16*i + 2584. Let h(x) = 5*j(x) - 2*o(x). Differentiate h(f) wrt f.
-2553*f**2 + 3
Let r(m) be the first derivative of 3455*m**4/4 + 2*m**3/3 - 3669*m - 4019. Find the third derivative of r(a) wrt a.
20730
Let n(t) be the third derivative of -1025*t**4/24 - 109*t**3/2 - 385*t**2. Find the first derivative of n(q) wrt q.
-1025
Let c(s) be the second derivative of 17*s + 14/5*s**6 + 0*s**2 + 0*s**4 + 0*s**5 + 115/6*s**3 + 4. Find the second derivative of c(l) wrt l.
1008*l**2
Let t be (-2)/5*(-415)/2. What is the derivative of -27*v - 28 - 12*v + t*v + 35*v wrt v?
79
Let k(i) be the first derivative of 0*i**5 - 151/3*i**3 + 0*i**6 + 0*i**2 + 0*i**4 + 65/7*i**7 + 202 + 0*i. What is the third derivative of k(h) wrt h?
7800*h**3
Find the third derivative of 54*z**5 - 37 - z**2 - 41 + 385*z**5 + 75 + 5*z**2 wrt z.
26340*z**2
Let b(p) = 3301*p - 2148. Let l(w) = -6601*w + 4285. Let j(f) = 13*b(f) + 6*l(f). What is the derivative of j(z) wrt z?
3307
Let l(u) be the second derivative of -10/3*u**3 - 2*u - 53/30*u**6 + 0*u**4 + 0*u**5 + 6 + 1/2*u**2. Find the second derivative of l(a) wrt a.
-636*a**2
Suppose 0 = 25*z - 51 - 49. Find the third derivative of 85*h**4 - 50*h**z - 45*h**4 + 24*h**2 + 54*h**2 - h**3 wrt h.
-240*h - 6
Let u(x) = 31*x - 22. Let a(c) = 22*c - 7*c - 7*c - 7*c. Let h(l) = 3*a(l) + u(l). What is the derivative of h(b) wrt b?
34
Let m(u) be the first derivative of -901*u**6/3 - 527*u**2/2 + 216. What is the second derivative of m(q) wrt q?
-36040*q**3
Let r(y) = y**3 + 7*y**2 + 2*y - 19. Let f be r(-6). Suppose 0 = f*t - 15. What is the second derivative of 8*m**t - m**3 + m**3 + m wrt m?
48*m
Let v(y) be the second derivative of 409*y**7/14 + 154*y**3 - 37*y - 4. Find the second derivative of v(f) wrt f.
24540*f**3
Let p(a) be the second derivative of -2 + 25/12*a**4 + a - 1/3*a**3 - 107/2*a**2. What is the second derivative of p(s) wrt s?
50
Suppose l + l = 0. Let b be -1 - -23*(1 + l). Find the third derivative of -15*c**2 - b*c**5 + 52*c**5 - 5*c**2 + 2*c**2 wrt c.
1800*c**2
What is the third derivative of 9*c**2 + 2*c + 10*c**2 + 0*c**2 - 9367*c**4 + 3595*c**4 + 7 wrt c?
-138528*c
Differentiate -54*k**2 + 65*k**2 - 738*k**2 + k + 1436 with respect to k.
-1454*k + 1
Let b(s) be the second derivative of -7493*s**5/20 + 699*s**4/4 + s**3/3 + 664*s + 2. Find the third derivative of b(p) wrt p.
-44958
Let c(s) be the first derivative of 38*s**7/21 + s**4/12 + 17*s + 67. Let f(k) be the first derivative of c(k). What is the third derivative of f(w) wrt w?
4560*w**2
Let p(x) be the first derivative of -1056*x**3 - 1273*x**2/2 + 3265. Find the second derivative of p(b) wrt b.
-6336
Let t(b) = 2141*b - 10173. Let h(l) = 17217*l - 81384. Let o(f) = -2*h(f) + 17*t(f). Find the first derivative of o(g) wrt g.
1963
Let c = -212 - -217. Differentiate 64 + 17*t**2 + c*t + 50 + 7 wrt t.
34*t + 5
Suppose 0 = 21*y - 33 - 30. Find the third derivative of -54*o - 11499 + 11499 - 130*o**y + 2*o**2 wrt o.
-780
Differentiate 2314 - 4238*p**2 - 5446 - 4646 - 1289 wrt p.
-8476*p
Differentiate -1662*m - 1066*m + 823 - 6353 - 758*m - 709*m wrt m.
-4195
Let r(q) be the second derivative of q**5/10 - 56*q**3/3 + 426*q**2 + 763*q. What is the derivative of r(c) wrt c?
6*c**2 - 112
Find the second derivative of 35*a**5 - 11396*a - 4*a**5 + 1593 + 11398*a + 13*a**4 wrt a.
620*a**3 + 156*a**2
What is the second derivative of 1555 - 2*m + 81*m**2 - 57*m**5 - 727623*m**4 + 727623*m**4 wrt m?
-1140*m**3 + 162
Find the first derivative of -1629 - 33*f + 396*f**2 - 76*f**2 + 32*f + 196*f**4 - 195*f**4 wrt f.
4*f**3 + 640*f - 1
Let d be 2*(27/6 + -3). Suppose -6*x + d*x = s - 20, 0 = 5*s + 2*x - 74. Find the first derivative of 3 - 13 - 7 + s*k**3 wrt k.
42*k**2
Let u(c) be the third derivative of -c**7/35 - 4*c**6/15 - 193*c**4/4 - c**3/3 - c**2 + 12*c + 27. Find the second derivative of u(k) wrt k.
-72*k**2 - 192*k
What is the third derivative of -5770*k**2 - 346*k + 4*k**3 + 346*k - 23*k**5 + 418*k**2 - 3*k**4 wrt k?
-1380*k**2 - 72*k + 24
What is the third derivative of 3*f**2