*5/20 - 5*w**4/6 - w**3/3 - 249*w**2/2 - 83*w - 5. What is the third derivative of m(z) wrt z?
11040*z**2 + 48*z + 18
Let c be (6 - 18/4)/(3/10). Suppose 0 = -c*f - 0 + 25. Find the first derivative of -72 + f*w**3 - 4*w**3 + 58 + 7*w**3 wrt w.
24*w**2
Let v(z) = 137*z**3 + z**2 - 1811*z - 4. Let r(l) = 277*l**3 + 2*l**2 - 3621*l - 7. Let m(g) = 4*r(g) - 7*v(g). Find the second derivative of m(p) wrt p.
894*p + 2
Suppose 4*v - 70 = -5*y - 0*y, -v = 4*y - 45. Let x be (3 - (-6)/y)*(-5)/(-2). What is the second derivative of -z - 11*z**4 + 20*z**4 - 21*z**5 - x*z**4 wrt z?
-420*z**3
Let m(i) = -i**2 + 2*i + 3. Let h be m(0). Find the third derivative of -o + 29*o**h - 2*o**2 + 5*o**2 + 14*o**2 + 22*o**3 wrt o.
306
Let u(o) be the first derivative of 0*o - 17*o**3 + 4/5*o**5 + 0*o**2 + 7/6*o**6 + 0*o**4 - 58. Find the third derivative of u(a) wrt a.
420*a**2 + 96*a
Let g = -8388 - -8408. Let t(b) be the second derivative of -13/3*b**3 + 0 + 13/6*b**4 + 0*b**2 + g*b. Find the second derivative of t(s) wrt s.
52
Find the second derivative of 70*w**2 + 2*w - 2*w - 8 - 1724*w**2 + 0*w - 3*w wrt w.
-3308
Let u(x) be the third derivative of -79*x**6/120 - x**5/30 - 469*x**3/6 + 1129*x**2. What is the derivative of u(y) wrt y?
-237*y**2 - 4*y
Let o(l) be the first derivative of -640*l**4 - 1360*l - 1997. Find the first derivative of o(b) wrt b.
-7680*b**2
Let s(a) = -19*a**2. Let g(w) = 19*w**2 - 3*w. Let l be (3/(-2))/(-1) - 95/(-38). Let p(r) = l*s(r) + 5*g(r). What is the second derivative of p(j) wrt j?
38
What is the first derivative of -2563 - 1984 - 3460 + 5530*n + 4580*n + 817 wrt n?
10110
Let o(n) = -679*n**3 + 20*n**2 - 257. Let j(y) = 677*y**3 - 16*y**2 + 256. Let q(r) = 5*j(r) + 4*o(r). Find the first derivative of q(h) wrt h.
2007*h**2
Let l(y) be the first derivative of 1843*y**2/2 + 130*y + 241. What is the first derivative of l(w) wrt w?
1843
Let d(b) be the third derivative of -179*b**5/60 + b**4/12 + 415*b**3/3 + b**2 + 225*b + 1. What is the first derivative of d(x) wrt x?
-358*x + 2
Let m(r) be the second derivative of r**9/15120 + r**8/960 - 9*r**5/20 - 25*r**4/12 + 6*r. Let t(x) be the third derivative of m(x). Differentiate t(n) wrt n.
4*n**3 + 21*n**2
Let m(k) be the second derivative of -119*k**4/12 - 5*k**3/3 + 41*k**2/2 - 2753*k. What is the derivative of m(b) wrt b?
-238*b - 10
Let l(z) be the third derivative of -z**9/56 - 11*z**7/210 + 301*z**5/30 + z**2 - 16. What is the third derivative of l(u) wrt u?
-1080*u**3 - 264*u
Let w(b) = 71*b**4 - b**3 - 8*b**2 + 4*b - 3651. Let n(f) = 2*f**2 - f - 2. Let t(y) = 4*n(y) + w(y). What is the derivative of t(a) wrt a?
284*a**3 - 3*a**2
Let g(s) be the first derivative of -159*s**4/4 - s**3 - 1104*s - 874. Differentiate g(k) with respect to k.
-477*k**2 - 6*k
Let z(k) be the third derivative of 0*k**5 + 13/15*k**6 + 68/3*k**3 + 12*k**2 + 0*k + 0*k**4 - 2. What is the first derivative of z(n) wrt n?
312*n**2
Let g(n) = 13*n**3 - 2*n**2 - 1. Let b(u) = -59*u**3 - 84*u**2 + 80*u + 1. Let r(x) = b(x) + 4*g(x). Find the second derivative of r(t) wrt t.
-42*t - 184
Let y be (-1 - 141/(-9))*3. Differentiate y + 81*c - 222 - 7*c + 92*c with respect to c.
166
What is the second derivative of -174 - 214*n**4 + 3*n**2 - 21*n + 86 + 91 - 6*n**2 + 0*n wrt n?
-2568*n**2 - 6
Let q(t) be the second derivative of t**3 + 0*t**2 + 28/15*t**6 + 0 + 0*t**4 - 7*t + 0*t**5. What is the second derivative of q(c) wrt c?
672*c**2
Let j = -231 + 282. Differentiate 88*c - 45*c + 103 - j*c wrt c.
-8
Suppose 0 = 9*t + 9*t - 288. Suppose -5*g + t + 34 = 0. Differentiate -35 + g - 9 - 30*l**3 with respect to l.
-90*l**2
Let z(r) = r**3 - 2*r**2 + 5*r - 18. Let h be z(4). What is the derivative of -h*a**2 + 84 - 44*a**3 + 85*a**3 - 40*a**3 wrt a?
3*a**2 - 68*a
Let c(k) = -4*k**2 - 85*k - 612. Let n(o) = -15*o**2 - 335*o - 2447. Let l(f) = 23*c(f) - 6*n(f). What is the derivative of l(m) wrt m?
-4*m + 55
What is the third derivative of 8*m**2 - 38*m**3 - 1155*m - 233*m**5 + 234*m**5 - 7*m**2 wrt m?
60*m**2 - 228
Let w = 175 - 157. Differentiate q**4 - 3*q + 21*q + w + 0*q - 2*q**4 with respect to q.
-4*q**3 + 18
Let g(q) be the third derivative of 551*q**8/56 - 1519*q**4/8 + 36*q**2 + 10*q. Find the second derivative of g(v) wrt v.
66120*v**3
Let b = -116 + 122. Suppose 0 = u - 4*z + b, -z + 4*z = 6. What is the derivative of 8*q**u - 4*q**2 + 2*q**2 + 24 wrt q?
12*q
Differentiate -42*c**3 - 40*c**3 + 2*c - 42*c**3 + 129*c**3 + 10*c**2 + 20*c - 3377 wrt c.
15*c**2 + 20*c + 22
What is the first derivative of 457152*t - 228581*t - 1718 - 235*t**2 - 228575*t wrt t?
-470*t - 4
Let k(l) be the second derivative of -145*l + 0*l**3 + 1/20*l**5 + 0*l**4 + 127/2*l**2 + 4/5*l**6 + 0. What is the first derivative of k(q) wrt q?
96*q**3 + 3*q**2
Let n(h) = 17*h**3 + 278*h**2 - 6870*h. Let r(l) = -106*l**3 - 1671*l**2 + 41217*l. Let t(b) = 13*n(b) + 2*r(b). Find the second derivative of t(v) wrt v.
54*v + 544
Suppose 3*i = -4*h + h + 9, 2*h + 12 = 4*i. Suppose 35 = i*s - 16. What is the second derivative of -s - 15*r - 9*r**2 - 26 + 43 wrt r?
-18
Let l(o) be the second derivative of -83*o**7/7 - o**3/6 + 131*o**2/2 + o - 40. Find the second derivative of l(r) wrt r.
-9960*r**3
Let o be 8/(-3)*((-15)/(-10) + -3). Suppose 15*y - 18 = 12*y. Find the second derivative of 3*j**4 - 3*j**4 + j**o - y*j**4 + 16*j wrt j.
-60*j**2
Suppose -5*r = -d - 248, r + 40 = 2*r + 3*d. Let z be 14/r + (-110)/(-7). What is the third derivative of 6*q**3 - z*q**2 + 6*q**3 - 11*q**3 wrt q?
6
Let d be 33/1 + 5 + -2. What is the third derivative of -26 - 5*g + 14*g**2 + d*g**5 + 26 wrt g?
2160*g**2
Differentiate 215 - 148*t**2 - 353 - 2*t**3 - 272 - 267 - 3*t - 572 wrt t.
-6*t**2 - 296*t - 3
Let i(n) = -951*n**2 + 30*n + 66. Let j(g) = 2*g**2 + 9*g. Let m(f) = -i(f) + 5*j(f). Find the second derivative of m(q) wrt q.
1922
Let w(d) be the first derivative of -51*d**5/20 + 34*d**3/3 - 65*d + 358. Let b(i) be the first derivative of w(i). What is the second derivative of b(h) wrt h?
-306*h
Let d(k) be the third derivative of 2633*k**5/60 + 575*k**4/24 + 95*k**2 - 9*k. Find the second derivative of d(x) wrt x.
5266
Suppose -21*r = -20*r - 3. Suppose -2*k + 28 = -3*i, -2*i - 28 = -k + r*i. What is the second derivative of -7*t + k*t - 15*t**3 + 11*t wrt t?
-90*t
Let j = 15 + 192. Find the second derivative of 205*i + 24 - 46*i**2 - 415*i + j*i wrt i.
-92
Let x be (-3 - -33 - -2) + -3. Let m = x - 27. What is the derivative of 2*q**4 + m - 21*q**4 + 5*q**4 wrt q?
-56*q**3
Let i(t) be the first derivative of 0*t - 2*t**4 + 3/2*t**2 - 2*t**3 - 2/5*t**5 + 198. What is the third derivative of i(d) wrt d?
-48*d - 48
Let x(p) be the third derivative of p**7/105 - 75*p**6/4 + 11*p**4/8 - 11*p**3/6 + 126*p**2 - 3*p. What is the second derivative of x(d) wrt d?
24*d**2 - 13500*d
Suppose 2*l = 4*n - 0*l - 2, 3*n - 4*l = -6. Find the first derivative of -1554*s**2 + 1556*s**n + s - 6 - 65 wrt s.
4*s + 1
Let j(y) be the third derivative of 7787*y**6/120 + 1009*y**4/12 - y**2 - 229*y - 3. Find the second derivative of j(b) wrt b.
46722*b
Let q be 8 - (-7 - (-7 - 5)). Find the third derivative of -14*y + 101*y**3 - 6*y**2 - 176*y**3 + 107*y**q wrt y.
192
Let o be 2/(-2) - (-6)/(14/7). Differentiate 40*d**2 + 11 - o + 17 wrt d.
80*d
Suppose 168 = 35*g - 32*g. Suppose -40 = -16*p + g. Find the third derivative of 276*f**3 - 276*f**3 - 8*f**2 - 32*f**p wrt f.
-3840*f**3
Let l(v) = 2838*v - 4010. Let r(d) = -709*d + 1003. Let j(x) = -2*l(x) - 9*r(x). Differentiate j(u) with respect to u.
705
Suppose -37*n + 22 = -26*n. Find the third derivative of -47*r**3 + 70*r**n + 3187 - 3188 - 23*r**2 wrt r.
-282
Let i(u) = 1149*u**2 - 1603*u. Let v(c) = -766*c**2 + 1068*c. Let y(m) = 5*i(m) + 8*v(m). What is the second derivative of y(j) wrt j?
-766
Let c = 47 + -47. Let s be (-4 - -2) + c - -4. What is the third derivative of -9*v**s + 106*v - 55*v - 51*v - 8*v**4 wrt v?
-192*v
Let v(m) be the third derivative of -3715*m**4/8 + 13285*m**3/6 - 3154*m**2. What is the first derivative of v(x) wrt x?
-11145
Suppose 39*p = 38*p + 9. What is the second derivative of 72*d**2 + p + 30*d - 4*d - 19*d wrt d?
144
Let d(u) be the second derivative of -9*u**5/20 - 92*u**3/3 + 989*u**2 + 52*u + 6.