 of 14*z**2 + 83*z + q*z**3 - 83*z + 182*z**2 wrt z.
852
Suppose 0 = 5*j - 6*w + w + 500, -2*j = 4*w + 206. Let u = 104 + j. Differentiate -6 + 9 - 1 + 23 - 18*a**u wrt a.
-54*a**2
Let f(u) be the first derivative of 3007*u**4/4 - u**3/3 + 3*u**2/2 + 427*u - 1626. What is the third derivative of f(m) wrt m?
18042
Find the second derivative of -1326 - 3*q**2 + 1346 - 12*q**3 + 10*q + 18*q**5 - 5*q + 27*q**3 wrt q.
360*q**3 + 90*q - 6
Let a(c) be the second derivative of 0*c**3 + 0*c**5 + 0 - c**2 + 253*c + 0*c**6 + 0*c**7 - 15/4*c**8 - 7/6*c**4. Find the third derivative of a(w) wrt w.
-25200*w**3
What is the second derivative of 181*w**2 + 1 - 209*w - 305*w**2 - 46*w + 752*w**2 wrt w?
1256
Let d(n) = 2*n + 10. Let o be d(-2). Suppose -o*u - 2 = -7*u. What is the third derivative of 3*m**u + 11*m**2 - 16*m**2 - 5*m**4 wrt m?
-120*m
Suppose 3*l + 14*l - 675 = -10*l. Let s(m) be the first derivative of 0*m + l + 3/2*m**2 - 13/3*m**3. What is the second derivative of s(a) wrt a?
-26
Let q(h) = -4*h**3 + 2830*h**2 - 8*h - 456. Let f(i) = -7*i**3 + 5664*i**2 - 15*i - 911. Let u(a) = -3*f(a) + 5*q(a). Find the second derivative of u(j) wrt j.
6*j - 5684
Let q(w) = 91*w**2 - 5*w - 75. Let a(y) = -46*y**2 + 3*y + 37. Let s = 252 + -257. Let k(l) = s*a(l) - 3*q(l). What is the derivative of k(h) wrt h?
-86*h
Let g(o) be the third derivative of -433*o**6/60 - 150*o**3 - 205*o**2 - 3*o. What is the derivative of g(f) wrt f?
-2598*f**2
Let p = -167 + 171. What is the third derivative of -109 - 2*r**p + 50 - 43*r**2 + 59 + 20*r**6 wrt r?
2400*r**3 - 48*r
Let g(n) = 375*n + 298. Let j(h) = -187*h - 147. Suppose -3*y + 30 = -5*o, 30 = 2*o - 7*o - 5*y. Let v(k) = o*g(k) - 13*j(k). Differentiate v(l) wrt l.
181
Find the second derivative of y**4 + 17*y**2 + 4023*y - 2*y**3 + 4*y**3 - 15*y**2 + 728*y + 1161*y wrt y.
12*y**2 + 12*y + 4
Let s(c) = -c**4 + c**3 + 3*c + 58. Let n = 216 - 217. Let w(i) = i**3 - i + 1. Let p(q) = n*s(q) - 3*w(q). What is the first derivative of p(x) wrt x?
4*x**3 - 12*x**2
Let p(y) = -1628*y**2 + 1382*y + 55. Let a(q) = -1629*q**2 + 1381*q + 44. Let c(o) = -5*a(o) + 4*p(o). Find the second derivative of c(l) wrt l.
3266
Let s(z) = -z**4 - 2*z**3 + 1. Let o(b) = 734*b**4 + 6*b**3 + 81*b**2 - 5. Let y(d) = -2*o(d) - 6*s(d). What is the third derivative of y(v) wrt v?
-35088*v
Let w(y) be the second derivative of 573*y**5/4 - 2328*y**2 - 1971*y. What is the first derivative of w(n) wrt n?
8595*n**2
Let a(h) be the third derivative of 57*h**7/14 - 1679*h**4/8 + 4*h**2 + 335*h. Find the second derivative of a(p) wrt p.
10260*p**2
Let h(v) = 1711*v**4 - 17*v**2 + 315*v. Let c(t) = 570*t**4 - 6*t**2 + 106*t. Let n(j) = -8*c(j) + 3*h(j). Find the third derivative of n(g) wrt g.
13752*g
Let w = -165 + 168. What is the third derivative of -2618*c**w + 2*c - 27*c**5 + 2618*c**3 + 9*c**2 wrt c?
-1620*c**2
Let i(p) be the second derivative of 277*p**4/2 + 19*p**3 + 3*p**2/2 + 18*p - 34. Find the second derivative of i(j) wrt j.
3324
Let v(w) be the first derivative of -6*w**3 + 2*w - 27/2*w**4 + 57 + 0*w**2. What is the third derivative of v(i) wrt i?
-324
Let z(n) = n**2 - 8*n + 14. Let y be z(6). Find the first derivative of -29*i**y - 558 - 34*i**2 + 543 wrt i.
-126*i
What is the first derivative of -330 + 39*y**2 + 48*y**2 - 12*y - 15*y - 85*y**2 + 833 wrt y?
4*y - 27
Let s(n) = 4*n**3 - 2*n**2 - 11*n - 8. Let o be s(5). What is the third derivative of 63*u**2 + 0 + 289*u**6 - 819*u**6 - 2 + o*u**6 wrt u?
-17160*u**3
Suppose -22*v = -19*v + 3. Let g = 3 - v. Differentiate -48 - 4*m**g + 23 - 13*m**4 with respect to m.
-68*m**3
Let k(q) be the first derivative of -669*q**4/4 + 1159*q - 205. Differentiate k(o) wrt o.
-2007*o**2
Let f(c) be the second derivative of 3*c**6 + 1/3*c**3 - 1/6*c**4 + 5*c**2 + 0 + 64*c + 0*c**5. What is the second derivative of f(h) wrt h?
1080*h**2 - 4
Let j(b) be the third derivative of 313*b**4/6 - 685*b**3/3 + 2*b**2 + 139. What is the derivative of j(i) wrt i?
1252
Let z(o) be the second derivative of -18*o**2 - 6*o**3 + 49*o + 43*o**2 - 47*o + 6. Differentiate z(j) wrt j.
-36
Suppose 13 = 4*h - 35. Suppose -h*r = -9*r - 15. Differentiate -5 - 11*l**4 + r*l**4 + 8*l**4 - 5 with respect to l.
8*l**3
Let f(c) = c**3 - c**2 - 4*c + 1. Let n(x) = 3*x**3 + x**2 + 446*x - 2017. Let p(l) = f(l) + n(l). What is the first derivative of p(i) wrt i?
12*i**2 + 442
Find the third derivative of -259 + 123*b**2 - 146*b**2 - 2*b - 254 + 508 + 5876*b**3 wrt b.
35256
Let o = 168 + -136. What is the third derivative of -56*z**2 + 114*z - o*z**3 - 57*z - 57*z wrt z?
-192
Let p(b) be the second derivative of 0*b**6 + 31/12*b**4 + 5/28*b**8 + 0*b**7 + 0 + 0*b**5 + 0*b**3 + b**2 + 38*b. Find the third derivative of p(s) wrt s.
1200*s**3
Find the first derivative of -2630 - 3*j - 768*j**3 + 64*j**3 + 58*j**3 + 5*j wrt j.
-1938*j**2 + 2
Let h be (-165)/(-18) - (1/4 + 20/48). Let q(r) be the second derivative of 3*r - h*r**2 + 0 + 19/6*r**3. Differentiate q(n) wrt n.
19
Suppose -2*a - 4*c + 2 = 0, -5*c - 17 = -3*a - a. Suppose -d + a*j - 5 = 0, -5*d = -7*j + 4*j - 23. What is the derivative of 2 - 5 + d + 11*o**3 wrt o?
33*o**2
Suppose 7*f - 37 - 33 = 0. Let j(i) = -i**2 + 7*i + 34. Let w be j(f). What is the first derivative of 13*u**w + 15 + 4 - 6 wrt u?
52*u**3
Let h(x) = x. Let d(t) = t - 1. Let i(q) = 5*d(q) - 4*h(q). Let j be i(11). Find the third derivative of -33*k**j - 5*k**6 - 2*k**6 + 5*k**6 + 36*k**2 wrt k.
-4200*k**3
Let o(k) = k**2 - 21*k + 101. Let f be o(14). Find the second derivative of 836*l**3 - 1 - 88*l**4 - 414*l**f - 422*l**3 + 30*l wrt l.
-1056*l**2
Let n(q) = 806*q**4 + 2*q**2 + 1781*q. Let x(w) = -w**4 - 2*w**2 - w. Let g(t) = n(t) + x(t). What is the second derivative of g(r) wrt r?
9660*r**2
Let z(s) be the first derivative of -91/3*s**3 - 95 + 1/2*s**2 + 5*s. What is the second derivative of z(r) wrt r?
-182
Let g = -694 - -702. Find the second derivative of -19*r**4 + 11*r**4 - 29*r + g*r - 1 + 6*r**4 + 2 + 25*r**3 wrt r.
-24*r**2 + 150*r
Let u(z) = z**3 - 14*z**2 - 15*z + 23. Let y(l) = 14*l**3 + 2*l**2 - 3*l + 2. Let h be y(1). Let t be u(h). Differentiate t*c - 7 - 10*c - 15*c - 7*c wrt c.
-9
Let i(w) be the first derivative of w**5 - 69*w**2 + 1246*w + 1183. Find the first derivative of i(q) wrt q.
20*q**3 - 138
Let h(y) be the first derivative of -398*y**6 - y**4/2 + 1825*y**2/2 - 2453. What is the second derivative of h(j) wrt j?
-47760*j**3 - 12*j
Let l(v) = 56040*v - 16310. Let c(d) = -6227*d + 1811. Let y(r) = -35*c(r) - 4*l(r). What is the first derivative of y(z) wrt z?
-6215
What is the third derivative of u**5 + 2*u - 11*u**2 - 15769 + 4*u**3 + 30*u**4 + 7905 + 7865 wrt u?
60*u**2 + 720*u + 24
Let l(h) be the second derivative of -293*h**4/6 + 4*h**3 + 10*h**2 + 21*h + 14. Find the second derivative of l(k) wrt k.
-1172
Let g = 281 + -276. Find the third derivative of -3*y**5 - 22*y**2 + 54*y**2 - 5*y**3 - 2*y**3 - y**g wrt y.
-240*y**2 - 42
Let u(h) be the third derivative of 7/30*h**6 - 23/12*h**5 + 0*h**3 + 1/24*h**4 - 13 + 0*h - h**2. What is the third derivative of u(a) wrt a?
168
Let d be 11/3 - 2/3. Find the second derivative of -68*s**3 - 49*s**d - 221*s + 337*s wrt s.
-702*s
Let n(t) = 56*t - 22. Let j(g) = 55*g - 23. Let z be 104/(-468)*(-1*1 - 8). Let m(s) = z*n(s) - 3*j(s). Differentiate m(w) with respect to w.
-53
Let v = -192 + 195. Differentiate v*y**2 - 7*y - 42 - 3*y + 19*y - 6*y wrt y.
6*y + 3
Find the second derivative of 594*t - 19*t**3 + 5*t - 118*t - 5 + 20*t**3 - 114*t**5 wrt t.
-2280*t**3 + 6*t
Let w = 63 + -3. Suppose -160*f - w = -163*f. What is the second derivative of -6 + 59*k**5 + f*k + 6 - 50*k**5 wrt k?
180*k**3
Let s(u) be the third derivative of u**7/105 + u**6/6 + 887*u**5/30 + 1774*u**2. Find the third derivative of s(t) wrt t.
48*t + 120
Let t(m) = -9260*m + 15887. Let v(j) = -15*j - 8. Let y(b) = -t(b) - v(b). What is the derivative of y(u) wrt u?
9275
Find the first derivative of -28*h + 460764*h**2 - 872 - 460764*h**2 - 12*h**4 wrt h.
-48*h**3 - 28
Find the second derivative of 429 + 3*t - 2*t + t**4 - 3*t + 368*t**3 + 7*t**2 - 101*t**3 wrt t.
12*t**2 + 1602*t + 14
Let a(t) be the first derivative of 975*t**4/2 + 8*t**3/3 - 5*t**2/2 - 217. Find the thir