4. Find the third derivative of u**2 + 12*u**2 + 2*u**6 - 6*u**2 - 20*u**t wrt u.
-2160*u**3
What is the third derivative of 844*d**2 - 783*d**4 - 565*d**4 + 107*d**2 wrt d?
-32352*d
Let r(o) = o**2 - o. Let n(w) = 60*w**2 + 6*w - 55. Let k = -561 + 562. Let x(f) = k*n(f) + 6*r(f). What is the derivative of x(p) wrt p?
132*p
Differentiate 58*r**3 - 14*r**3 - 23*r**3 - 21*r**3 + 1985*r**4 + 2043 with respect to r.
7940*r**3
Let j(z) be the second derivative of z**7/21 - 10*z**4/3 + 2*z**3/3 - 2*z**2 + 437*z - 1. Find the second derivative of j(r) wrt r.
40*r**3 - 80
What is the second derivative of -1746*v - 7764*v**4 + 1267*v - 2274*v + 768*v - 2159*v wrt v?
-93168*v**2
Suppose -22*a = -94 - 104. What is the third derivative of -25*v**2 + a*v**2 + 12*v**2 - 2*v**4 - 48*v**3 + 13*v**2 wrt v?
-48*v - 288
Let x be (-388)/(-44) + (-4)/(-22). Suppose 5*d - x = 31. What is the first derivative of -35*h - 3*h**3 + 35*h + d wrt h?
-9*h**2
Differentiate 1450*j**3 + 218955*j - 218955*j - 1176 with respect to j.
4350*j**2
Let g(l) = -8*l**3 + 235*l**2 + 8*l + 492. Let q(u) = 10*u**3 - 237*u**2 - 11*u - 491. Let a(r) = 4*g(r) + 3*q(r). What is the second derivative of a(d) wrt d?
-12*d + 458
Find the second derivative of -1603*s + 1481*s**2 + 917*s + 3570*s**2 - 1305*s**2 wrt s.
7492
Let w(n) = 2*n**2 - 6*n - 5. Let f be w(5). Suppose 19*m - 48 = f*m. What is the first derivative of -139 + 160 + m*o + 6*o wrt o?
18
Let o = 155 + -107. What is the first derivative of -168*a + o*a**4 - 44 - 170*a + 338*a wrt a?
192*a**3
Let l(i) = -5584*i - 1467. Let b(w) = 36*w. Let n(m) = -b(m) + l(m). What is the derivative of n(j) wrt j?
-5620
Differentiate -166*d + 273*d - 1018*d**2 + 1570 - 107*d wrt d.
-2036*d
Let c(w) = 5*w**2 + 16*w + 29. Let k be c(-2). What is the third derivative of -k*r + r**2 + r - 3*r**5 - 6*r**2 - 2*r - 42*r**5 wrt r?
-2700*r**2
Let n(i) = 4737*i**2 + 4*i - 1167. Let l(j) = -4741*j**2 - 7*j + 1169. Let c(u) = 2*l(u) + 3*n(u). Find the second derivative of c(s) wrt s.
9458
Suppose 2*s - 18 = -10. What is the third derivative of -21*c**3 - c - 21*c**2 - 15*c**3 + s*c**3 + 7*c**3 wrt c?
-150
Let t(j) be the third derivative of 0 + 65*j**2 - 4/105*j**7 + 1/30*j**5 + 0*j + 0*j**6 + 0*j**3 - 31/8*j**4. Find the second derivative of t(d) wrt d.
-96*d**2 + 4
Let u(j) = -12*j**4 + 2*j**3 - 9. Let z(k) = -641 + 315 - k**4 - k**3 + 325. Let p = 0 - -2. Let a(n) = p*z(n) + u(n). What is the derivative of a(t) wrt t?
-56*t**3
Let k = 81 - 59. What is the derivative of -95 + 61*l + k + 33 + 25 wrt l?
61
Let i(g) = -11*g**4 - g**4 + 11*g**4. Let h(j) = -24*j**4 - 2*j**2 + 61. Let t(b) = -h(b) + 2*i(b). Find the first derivative of t(u) wrt u.
88*u**3 + 4*u
Let c(u) be the second derivative of -29*u**7/6 - 2*u**4/3 - 589*u**3 + 3762*u. What is the second derivative of c(o) wrt o?
-4060*o**3 - 16
Differentiate 171*o**3 + 888 + 848*o**3 + 515*o**3 - 167*o**3 wrt o.
4101*o**2
Let z(k) be the second derivative of -8*k**4 - 5*k**3/2 - 11*k**2 + k - 358. Find the second derivative of z(o) wrt o.
-192
Differentiate 1527 + 79*n**4 + 7838*n - 628*n**4 - 7838*n with respect to n.
-2196*n**3
Let j(q) be the first derivative of 2311*q**2 + 4184*q - 1627. What is the derivative of j(a) wrt a?
4622
Let o(n) = n + 14. Suppose 2*g + 2*c = 4*g + 30, 26 = -2*g + c. Let j be o(g). Find the second derivative of -j*v**3 + 2*v**3 + 2*v - 12*v**3 wrt v.
-78*v
Let t be -5 - (-1233)/243 - (-1396)/108. Let p(v) be the second derivative of 0*v**3 - t*v - 1/3*v**4 + 4*v**2 + 0. What is the derivative of p(s) wrt s?
-8*s
Let l(v) = -3*v**2 + 3. Let p be l(0). What is the second derivative of -26*w**3 + 3 + 14*w**p - 4*w + 12*w**3 - 19*w**4 wrt w?
-228*w**2
Let d = -40 + 38. Let k be (42 + 4)*((-3)/d)/3. What is the second derivative of k*s**2 + s + 4*s - s - s wrt s?
46
Let d(w) be the third derivative of -w**9/21 - w**7/210 - w**6/2 + 13*w**5/60 - 155*w**4/12 - 3*w**2 - 103*w - 2. What is the third derivative of d(k) wrt k?
-2880*k**3 - 24*k - 360
Let o(f) be the first derivative of 35 - 37*f + 39/2*f**2. Differentiate o(d) wrt d.
39
Let i = 10999 - 10999. Let o(j) be the third derivative of i*j - 3/2*j**3 - 19/60*j**5 + 0 - 7*j**2 + 0*j**4. What is the first derivative of o(a) wrt a?
-38*a
Find the third derivative of -482*h**2 + 969*h**5 - 498*h**2 + 731*h**2 + 46*h**5 wrt h.
60900*h**2
Let a(s) = -6*s - 33. Let i be a(-6). Differentiate 76 - 44*n**3 - 38*n**i - 30*n**3 + 57*n**3 wrt n.
-165*n**2
Let l(s) = -s**4 - s**3 - s + 1. Let j(c) = 1031*c**4 - 6*c**3 + 2*c**2 - 2*c + 383. Let i(u) = j(u) - 6*l(u). What is the second derivative of i(b) wrt b?
12444*b**2 + 4
Let y(h) be the first derivative of 209/2*h**2 - 166*h - 9. Differentiate y(q) wrt q.
209
What is the third derivative of -269*z**2 - 1447*z**6 + 2488*z**6 + 4288*z**2 wrt z?
124920*z**3
What is the second derivative of -22*x - 742*x**5 - 2*x + 10*x - 640*x**5 - 24 wrt x?
-27640*x**3
Let u(h) be the third derivative of 1/336*h**8 + 0*h**6 + 0*h**7 + 1/3*h**5 + 4/3*h**3 - 1/8*h**4 + 12*h**2 + 1 + 0*h. Find the second derivative of u(m) wrt m.
20*m**3 + 40
Let g(i) be the second derivative of 0 - 66*i - 35/3*i**4 - 69/2*i**2 + 1/6*i**3. Find the second derivative of g(b) wrt b.
-280
Let y(j) be the third derivative of 33*j**2 + 0*j + 0*j**5 + 7/8*j**4 - 1 - 13/24*j**6 - 1/3*j**3. What is the second derivative of y(g) wrt g?
-390*g
Find the second derivative of 283*l - 548*l - 1446*l**3 - 595*l wrt l.
-8676*l
Differentiate -y**2 - 2*y**2 - 87*y + 3495 + 2*y**2 + y**3 - 199*y with respect to y.
3*y**2 - 2*y - 286
Let j(n) be the third derivative of n**8/560 + n**6/72 - 277*n**4/24 - 25*n**3/6 - 161*n**2. Let g(i) be the first derivative of j(i). Differentiate g(w) wrt w.
12*w**3 + 10*w
Suppose 12*b - 4 = 10*b. Suppose -2*h - c = 2*h - 17, b*h + 2*c - 4 = 0. What is the first derivative of -7*m**3 - 9 - m**3 + h*m**3 + 5*m**3 wrt m?
6*m**2
Suppose 16*y = 2*j + 12*y - 22, 0 = -5*j - 5*y - 5. Differentiate -18 - 8496*k + 345 + 8210*k + k**j + k**3 wrt k.
6*k**2 - 286
Let b(c) be the second derivative of -2 + 0*c**5 + 41/42*c**7 - 13*c - 11/2*c**4 + 0*c**6 + 0*c**2 + 0*c**3. Find the third derivative of b(d) wrt d.
2460*d**2
Let f(g) = -53*g**2 + 685*g + 2. Let o(i) = -238*i**2 + 3425*i + 11. Let a(w) = -33*f(w) + 6*o(w). What is the second derivative of a(n) wrt n?
642
Let w(x) be the third derivative of -81*x**5/20 - 1615*x**3/2 + 67*x**2 - 3. What is the first derivative of w(y) wrt y?
-486*y
Let k(c) be the second derivative of -c**5/20 + 89*c**4/6 + 28*c**3/3 - c**2 + 415*c. Find the second derivative of k(h) wrt h.
-6*h + 356
Let j be (24/(-20))/((-18)/(-10) - 2). Suppose 12 = j*a - 2*a. Find the second derivative of 21*n**4 + 8*n**2 + 9*n - 8*n**2 - a*n**4 wrt n.
216*n**2
What is the third derivative of -186*y**4 + 296529*y**2 - 296438*y**2 - 8*y**6 + y**6 + 24*y wrt y?
-840*y**3 - 4464*y
Let y(i) be the second derivative of -i**8/28 - 11*i**5/20 + i**4/6 + 24*i**3 + 1138*i. What is the third derivative of y(h) wrt h?
-240*h**3 - 66
Let y(q) be the first derivative of 819*q**2/2 - 4718*q + 771. Find the first derivative of y(i) wrt i.
819
Let r(j) = -2614*j**2 - 408*j - 1. Let n(p) = 5218*p**2 + 816*p + 3. Let z(u) = 4*n(u) + 7*r(u). Find the second derivative of z(l) wrt l.
5148
Let j(h) be the second derivative of -743*h**7/42 - 11*h**3/3 - 10*h**2 + 156*h - 2. What is the second derivative of j(d) wrt d?
-14860*d**3
Let f(i) = i**2 + 5*i + 18. Let q be f(-9). What is the derivative of -q*u**4 + 26 + 7 - 12 wrt u?
-216*u**3
Let s(u) be the second derivative of 39*u**6/5 + u**4/6 + 593*u**3/6 - 244*u - 1. What is the second derivative of s(c) wrt c?
2808*c**2 + 4
Suppose w - 17 = 3*t, -6*t + t - 31 = -3*w. Find the third derivative of 47601*l - 62 - l**w - 47601*l - 137*l**3 wrt l.
-822
Let q = -90 + 131. Suppose 12*x = -5 + q. Differentiate -x*b**2 + 11*b**2 - 18*b**2 - 19 wrt b.
-20*b
Let p(u) be the second derivative of -447*u**5/10 + u**4/12 - 53*u**2/2 + 987*u. What is the third derivative of p(w) wrt w?
-5364
Suppose 4*f = 3*j - 4435, 0 = -5*j - 3*f + 8593 - 1240. What is the third derivative of 6*m**3 + 654*m**2 - j*m**2 + 755*m**2 - 5*m**5 wrt m?
-300*m**2 + 36
Let q(d) = -10*d - 44. Let n be q(-5). Let v(x) b