41893*u**3 + 42*u**2 + 7*u + 487. Let l(w) = -27928*w**3 - 30*w**2 - 5*w - 324. Let c(b) = -5*d(b) - 7*l(b). Differentiate c(f) with respect to f.
-41907*f**2
Suppose -j = -0*j + 2, 250 = 4*q - 3*j. Find the first derivative of q + 68 - 136 - 71*y wrt y.
-71
Let w(r) be the third derivative of 139*r**6/30 + r**5/60 - 6*r**4 - 2*r**2 - r - 379. What is the second derivative of w(m) wrt m?
3336*m + 2
Let d(q) be the third derivative of -31*q**6/60 - q**4/24 + 211*q**3 - 1633*q**2. What is the derivative of d(u) wrt u?
-186*u**2 - 1
What is the third derivative of 346*h**6 - 4*h**4 + 1464*h**2 + 4*h**4 - 494*h**6 - 709*h**6 wrt h?
-102840*h**3
Let x(v) = -20247*v**2 + 20989. Let h(g) = -10123*g**2 + 10504. Let n(p) = -13*h(p) + 6*x(p). What is the first derivative of n(s) wrt s?
20234*s
Let i = 29 - 26. Suppose -i*t - 11 = -b, 5*b - 3*t - 49 = -6. Find the first derivative of -9*v + 0 + 22 - b*v wrt v.
-17
Let q be (2 + 0 + -8)/(8 - 7). Let u be ((-2)/q)/(3/27). Find the second derivative of -u*m**2 + 4*m**2 + 6*m**2 - 6*m**2 - 6*m wrt m.
2
Let n(r) be the second derivative of -13*r**7/210 - 7*r**3/3 - r**2/2 - 128*r. Let d(b) be the first derivative of n(b). What is the derivative of d(m) wrt m?
-52*m**3
Let v(s) be the third derivative of 167*s**6/30 - 1303*s**3 - 296*s**2. What is the derivative of v(k) wrt k?
2004*k**2
Suppose 0 = 15*k - k - 42. What is the first derivative of -10 + k - 18 - 2 + 100*n wrt n?
100
Let p(b) = -67*b**2 - 12. Let t(i) = 132*i**2 + 24. Suppose 5*o - 26 = 3*c - 4, -10 = o + 3*c. Let h(d) = o*t(d) + 5*p(d). Differentiate h(y) with respect to y.
-142*y
Let m(c) = -c**3 + 24*c**2 + 24*c + 45. Let k be m(25). Find the first derivative of -42*v**4 + 43*v**4 - k*v**4 - 98 - 32*v**4 wrt v.
-204*v**3
Suppose 0 = 4*g - g. Suppose g = -h + 3*q - 7, 3*h + q = -2*h + 13. What is the second derivative of 5*b**2 - 11*b**h + 2*b + 2*b wrt b?
-12
Suppose -4 + 0 = -3*a - l, -2*a + 8 = -2*l. Find the third derivative of 4*m**2 - 7*m**3 - 11*m**2 - 42*m**3 + 3*m**a + 6*m wrt m.
-294
Let h(j) = j**2 - 41*j + 183. Let v be h(36). What is the third derivative of 98*u**6 + 369*u**v + 66*u**6 - 348*u**2 - 369*u**3 - 52*u**6 wrt u?
13440*u**3
Suppose -3*g + 5*z = -34, -2*g - 6*z = -z + 19. Suppose 0 = -g*c - 9*c + 900. Find the second derivative of -23*w + 7*w**2 + c*w + 5 - 5 wrt w.
14
Let b(u) = 1747*u**2 + 245*u + 22. Let m(v) = -873*v**2 - 124*v - 10. Let l(t) = -6*b(t) - 13*m(t). Find the second derivative of l(y) wrt y.
1734
Suppose 10*l - 98 = -8. Suppose -z + 2*z - c - l = 0, -3*z + 12 = 2*c. What is the third derivative of -15*m**2 + 29*m**z + 899*m**5 - 899*m**5 wrt m?
3480*m**3
Let d(a) = -1912*a**3 + 13*a - 647. Let b(o) = 957*o**3 - 6*o + 323. Let y(f) = 13*b(f) + 6*d(f). Differentiate y(n) wrt n.
2907*n**2
Let y(q) be the second derivative of 2 + 0*q**4 + 5/2*q**2 + 0*q**5 - 1/2*q**3 - 36*q - 1/5*q**6. Find the first derivative of y(p) wrt p.
-24*p**3 - 3
What is the second derivative of 0*u**4 + 791*u - 143*u + 1 + 357*u + 168*u**5 - 3*u**4 wrt u?
3360*u**3 - 36*u**2
Suppose -5*w + 10 = -0*w. Let h(q) = -q**3 - 2*q**2 + q + 6. Let x be h(0). Find the third derivative of -6*j**6 + 5*j**w - x*j**6 + 19*j**2 wrt j.
-1440*j**3
Let a(t) be the first derivative of -58*t**7 + t**6/6 - 587*t**3/3 - t**2/2 - 975. What is the third derivative of a(m) wrt m?
-48720*m**3 + 60*m**2
Let j(c) be the first derivative of 2609*c**3/3 - 868*c**2 + 256. Find the second derivative of j(v) wrt v.
5218
Let m be (15/6)/((3 - 4)/22). Let w = m - -61. What is the third derivative of 618*d**2 + 12*d**w + 2*d**6 - 613*d**2 wrt d?
1680*d**3
What is the second derivative of 1161*v**4 - 411*v - 5500*v**4 + 1720*v - 2686*v**4 wrt v?
-84300*v**2
Suppose 0 = 11*l - 8*l - 9. What is the third derivative of 5*z**4 - 123*z**2 + 191*z**l + 193*z**3 - 376*z**3 wrt z?
120*z + 48
Let k = -137 + 109. Let j(w) = w + 73. Let f be j(k). What is the second derivative of 9971*s**3 + f*s + 45*s**5 - 9971*s**3 wrt s?
900*s**3
Find the third derivative of 5*s**2 + 66442*s**6 - 134284*s**6 - 213 + 66606*s**6 wrt s.
-148320*s**3
Let j(n) be the third derivative of -61*n**9/504 + n**5/5 + 3*n**3/2 + 91*n**2. What is the third derivative of j(v) wrt v?
-7320*v**3
Let q(h) = -h + 18. Suppose 2*u = -2, -3*o + 4*u + 23 = 2*u. Let s be q(o). Find the third derivative of 0*y**6 - 25*y**6 - 2*y**2 - s*y**2 - 14*y**6 wrt y.
-4680*y**3
Let c = 26993 - 26993. Let b(n) be the third derivative of -11/20*n**5 + 0*n + 0*n**4 - 23/6*n**3 + c + 15*n**2. Find the first derivative of b(p) wrt p.
-66*p
What is the second derivative of 1443*s + 93*s**3 - 113*s**2 + 2048 - 87*s**3 - 2048 wrt s?
36*s - 226
Let w(z) = -z**2 - 17*z - 17. Let a be w(-9). Find the first derivative of 17 + a*f + 46 + 39*f - 79*f wrt f.
15
Let h(u) be the first derivative of -5760*u**7/7 - 668*u**3 - 252. What is the third derivative of h(f) wrt f?
-691200*f**3
Suppose 3 = 5*t + 4*u - 11, 2*t = 4*u. Find the third derivative of 17*z + 1115*z**4 + z**2 + 2*z**t - 2*z**2 - 1131*z**4 wrt z.
-384*z
Let i = -150 - -154. What is the third derivative of 2*o**2 - 970*o**i + 3*o**2 - 3*o**6 + 971*o**4 - 5 + 2*o**6 wrt o?
-120*o**3 + 24*o
Let k(f) = 5*f**3 - f - 1. Let z be k(2). Suppose 90*n - z = 89*n. What is the derivative of -9*q - q - n + 40 wrt q?
-10
What is the first derivative of -5650*d + 8493*d - 1129 + 48 wrt d?
2843
Find the third derivative of -43*f**2 - 94*f**3 + f**4 + 15*f**4 + 3074*f**2 wrt f.
384*f - 564
Let g(p) be the third derivative of 10*p**3 - p**2 - 1/60*p**6 + 0*p + 29 + 0*p**4 - 1/30*p**5 - 83/210*p**7. Find the third derivative of g(s) wrt s.
-1992*s - 12
Let h(d) = 819*d**5 - 5*d**3 - 450*d - 13. Let c(b) = -410*b**5 + 3*b**3 + 224*b + 7. Let z(k) = -5*c(k) - 3*h(k). What is the second derivative of z(p) wrt p?
-8140*p**3
Suppose -36*s = -19*s - 51. What is the third derivative of -12*z + 45*z**3 + 0*z**2 - 45*z**s + z**6 - 2*z**2 wrt z?
120*z**3
Let i be (143/22)/((-2)/(-4)). What is the second derivative of 1 + 16*v**5 + 10*v**3 - 21*v - 27*v**5 + i*v**5 wrt v?
40*v**3 + 60*v
Let v(s) = 11716*s**3 + 5816*s - 86. Let x(m) = -3907*m**3 - 1939*m + 27. Let i(t) = 5*v(t) + 16*x(t). Find the second derivative of i(k) wrt k.
-23592*k
Let q(t) = -372*t**2 + 2899*t - 35. Let h(r) = -185*r**2 + 1449*r - 14. Let b(g) = 5*h(g) - 2*q(g). Find the second derivative of b(l) wrt l.
-362
What is the second derivative of -131*g - 15 - 688*g**2 - 366*g**2 + 32 - 20 - 2254*g**2 wrt g?
-6616
Let r(c) = 413*c + 3303. Let g(y) = -202*y - 1652. Let q(f) = 9*g(f) + 4*r(f). What is the derivative of q(m) wrt m?
-166
Let b(y) be the first derivative of 417*y**4/2 - 2065*y**3/3 + 1380. Find the third derivative of b(q) wrt q.
5004
What is the derivative of 1009 + 2238 + 2748 - 1198 + 1902*b**3 wrt b?
5706*b**2
Let v(h) = 2767*h**3 - 27064*h**2 + 8*h + 56. Let r(d) = 923*d**3 - 9021*d**2 + 3*d + 21. Let m(s) = -8*r(s) + 3*v(s). Find the third derivative of m(c) wrt c.
5502
Find the second derivative of -87*b**3 - 1835*b**4 - 90*b**3 - 6378 - 32*b + 6389 + 177*b**3 wrt b.
-22020*b**2
Let f(d) be the first derivative of -11/4*d**4 - 7*d - 1/2*d**2 + 2 - 1/3*d**3. Find the second derivative of f(u) wrt u.
-66*u - 2
Let c(u) = -4*u**3 - 301*u**2 - 9*u + 8174. Let a(h) = -2*h**3 - 2*h**2 - h. Let r(o) = a(o) - c(o). Find the first derivative of r(n) wrt n.
6*n**2 + 598*n + 8
Let i = -16 - 85. Let g = -95 - i. Find the second derivative of 4*l + g*l - 40*l**3 + 29*l**3 wrt l.
-66*l
What is the third derivative of -500*s**6 - 707*s**6 + s**3 - 360*s**2 + 883*s**6 wrt s?
-38880*s**3 + 6
Suppose -r - 6*r = -7. Let l be (r/3)/(-1) - (-320)/15. Find the second derivative of 3*h**5 - l + 21 - 12*h - 3*h wrt h.
60*h**3
Let w(r) be the second derivative of -8*r**6/15 + 19*r**5/20 + r**4/3 + 1628*r**3/3 + 3159*r + 2. Find the second derivative of w(k) wrt k.
-192*k**2 + 114*k + 8
Find the second derivative of -500*m**5 + 1044*m**5 + 757*m + 231*m**5 wrt m.
15500*m**3
Let j(g) be the first derivative of 57/2*g**2 + 18*g**4 - 18 + 0*g**3 + 0*g. What is the second derivative of j(x) wrt x?
432*x
Suppose 0 = -0*t + 4*t - 3*h - 112, 0 = h + 4. What is the third derivative of 9355 - 13*y**5 - 9355 + t*y**2 wrt y?
-780*y**2
Let z(o) = -o**3 + o