- 2*q - q**2 - 1418*q**6 - 2*q**2 - 5*q**2 + 28*q**2 - 19*q**2 wrt q.
-170160*q**3
Let g(y) be the third derivative of y**9/504 - 3*y**8/56 - y**7/14 - 11*y**5/30 + 51*y**3/2 + 7375*y**2. Find the third derivative of g(a) wrt a.
120*a**3 - 1080*a**2 - 360*a
Let y(r) be the third derivative of -1681*r**5/60 - 1091*r**3/3 - 3*r**2 - 577*r. Find the first derivative of y(u) wrt u.
-3362*u
Let y(p) be the second derivative of 1289*p**5/10 - 13*p**4/6 + p**2 - 223*p + 1. Find the third derivative of y(u) wrt u.
15468
Let p(u) be the third derivative of -145*u**8/168 + u**5/20 - 17*u**4/12 - 847*u**2 + u. What is the third derivative of p(k) wrt k?
-17400*k**2
Find the second derivative of 399*h**4 + 3*h**2 - 2135*h - 100*h**4 + 35*h**2 - 38*h**2 wrt h.
3588*h**2
What is the first derivative of 1587 + 1311 + 85*h - 3290 - 546*h + 12*h wrt h?
-449
Suppose 10*n - 11*n = 1, -2*b + 16 = 2*n. Let j = -3 - -5. Find the third derivative of b + 18*a**3 + 10*a**j - 7 - 2 wrt a.
108
Let j(d) be the second derivative of -2887*d**5/20 - 79*d**4 + 11*d - 104. What is the third derivative of j(x) wrt x?
-17322
What is the second derivative of 6722*o**5 - 11823*o - 13472*o**5 + 6215*o**5 - 2*o**4 + 3*o**3 wrt o?
-10700*o**3 - 24*o**2 + 18*o
Let l be (-771)/(-1285)*(-50)/(-3). Let x(o) be the second derivative of -19*o + l*o**2 + 0 + 0*o**3 + 17/6*o**4. Find the first derivative of x(v) wrt v.
68*v
Let z(n) = 416*n**2 + 9*n - 18. Let s be z(-9). What is the derivative of -21 + s*r - 33597*r - 14*r**2 wrt r?
-28*r
Let n(f) be the second derivative of 1129*f**3/6 + 881*f**2/2 + 2*f - 596. Differentiate n(y) wrt y.
1129
What is the first derivative of 35*s**4 + 59*s**4 + 1997 - 3*s**3 - 78*s**4 + 208*s**4 + 198*s**4 wrt s?
1688*s**3 - 9*s**2
Let u(p) be the first derivative of 91*p**6/6 + 6*p**5/5 - 496*p**3/3 + 151. Find the third derivative of u(o) wrt o.
5460*o**2 + 144*o
Let n = 1464 - 1462. Let f(i) be the third derivative of 0 - n*i**2 + 0*i**4 + 0*i + 0*i**3 - 1/6*i**6 + 7/30*i**5. What is the third derivative of f(r) wrt r?
-120
Find the third derivative of -215*o**5 + 3277 + 85*o**2 - 213*o**5 + 426*o**5 + 1494*o**3 - 84*o**2 wrt o.
-120*o**2 + 8964
Let r(d) be the second derivative of 0 - 31/6*d**3 + 16*d + 2*d**2. Find the first derivative of r(b) wrt b.
-31
Suppose -7*u + 65 = -5. Let m = 21 + u. Find the first derivative of -20*q**3 - 5*q - 3*q - m + 8*q wrt q.
-60*q**2
Let n(t) be the third derivative of -t**7/35 + 7*t**6/40 - t**5/60 + t**4/6 + 121*t**3/3 - 5576*t**2. What is the second derivative of n(s) wrt s?
-72*s**2 + 126*s - 2
Let h(z) be the first derivative of 0*z**4 + 0*z**2 + 0*z**3 - 39/5*z**5 - 26 - 4*z. Find the first derivative of h(y) wrt y.
-156*y**3
Find the first derivative of -18621 + 9397 + 461*c + 9331 wrt c.
461
Let j(i) be the third derivative of 0*i**5 + 0*i**4 + 0 + 0*i - 14/3*i**3 - 62*i**2 - 103/210*i**7 + 0*i**6. Differentiate j(t) wrt t.
-412*t**3
Let d(t) be the second derivative of -79*t**4/12 + 997*t**3/6 - 29*t - 43. What is the second derivative of d(m) wrt m?
-158
Let t(a) be the second derivative of 31*a**7/14 + a**6/30 - 137*a**3/3 + 199*a - 1. What is the second derivative of t(c) wrt c?
1860*c**3 + 12*c**2
Suppose 2*b = -x - 34 - 4, 3*x + b + 94 = 0. Let m be (-45)/x*8/6. Find the third derivative of j**2 - m*j**6 + 0*j**2 - 5*j**2 + 3*j**2 wrt j.
-240*j**3
Let w(j) = 137*j**2 + 3*j - 7. Let f(d) = 0 + 3*d + 27*d**2 - 4*d - 13*d**2 + 1 - 12*d**2. Let s(a) = -4*f(a) - w(a). Find the second derivative of s(p) wrt p.
-290
Let q(n) = 181*n - 89. Suppose -481*o - 56 = -489*o. Let y(b) = -360*b + 175. Let h(r) = o*q(r) + 3*y(r). What is the derivative of h(a) wrt a?
187
What is the derivative of -70*m + 179 - 25*m - 441 - 33*m wrt m?
-128
What is the second derivative of 1360 - 235*m - 1361 - 2520*m**2 - 1568*m**2 wrt m?
-8176
Let f(s) = -5889*s**3 + 14*s**2 - 313*s + 17. Let g(m) = 2946*m**3 - 8*m**2 + 156*m - 8. Let b(o) = -4*f(o) - 7*g(o). Find the second derivative of b(h) wrt h.
17604*h
Suppose -2*p - 30 = -4*g, 0*g - 4*g - 3*p = -35. Find the third derivative of g*a**2 + 3*a**3 - 81*a**2 + 32*a**3 + 42*a**2 wrt a.
210
Let q = 663 + -658. Let j(h) = -5*h - 3. Let l be j(-2). What is the second derivative of -31*o + 11*o + l*o - 7*o**q wrt o?
-140*o**3
Let v = 1957 + -1953. Let m(n) be the first derivative of 0*n + 0*n**3 + 22/5*n**5 + 24 - 9/2*n**2 + 0*n**v. Find the second derivative of m(w) wrt w.
264*w**2
Let j(g) be the first derivative of -1859*g**5/5 - 67*g**3/3 + 9*g - 3726. Find the third derivative of j(z) wrt z.
-44616*z
Let a(m) = 3*m**3 + 4*m**2 + 2. Let p(g) = -1548*g**3 + 8*g**2 + 3738. Let h(k) = 2*a(k) - p(k). What is the derivative of h(j) wrt j?
4662*j**2
Let l(m) be the first derivative of 0*m**2 + 121*m + 0*m**3 - 9/4*m**4 - 17. What is the first derivative of l(f) wrt f?
-27*f**2
Let r(b) be the first derivative of -1932*b**5/5 + 244*b**3/3 - 1847. Find the third derivative of r(a) wrt a.
-46368*a
Find the third derivative of 526734*u**6 - 523587*u**6 + 3589*u**2 - 1234*u**2 wrt u.
377640*u**3
Let k(s) be the first derivative of 567*s**3 + 1165*s**2 - 2*s + 3588. Find the second derivative of k(u) wrt u.
3402
Let p(h) = 1001*h + 1569. Let s(t) = 2003*t + 3145. Let r(l) = 13*p(l) - 6*s(l). Differentiate r(w) wrt w.
995
Let d(b) be the second derivative of 0*b**3 - 59*b**2 - 49/10*b**5 + 126*b + 1/6*b**4 + 0. What is the first derivative of d(v) wrt v?
-294*v**2 + 4*v
Suppose 14*n = 4*n + 40. What is the second derivative of 667*i**3 - 674*i**3 + i**5 + 204*i + n*i**5 + 8*i**5 wrt i?
260*i**3 - 42*i
What is the second derivative of -580*s - 815*s + 473*s + 9157*s**2 - 234*s wrt s?
18314
What is the second derivative of -103*t + 1829*t**3 + 1093*t**3 - 682*t**3 + 3 wrt t?
13440*t
Differentiate 1133*w**4 + 22614*w**2 + 694*w**4 + 464 - 11306*w**2 - 11308*w**2 wrt w.
7308*w**3
Let j(d) be the second derivative of d**3/2 - 37*d**2/2 + 18*d. Let h be j(14). Find the third derivative of 76*p**2 - 77*p**2 + 5*p**5 + 14*p**h wrt p.
1140*p**2
Let a(m) = -1056*m**2 - 96*m - 492. Let b(f) = 4*f + 1. Let c(z) = a(z) + 24*b(z). What is the derivative of c(u) wrt u?
-2112*u
Find the third derivative of 21 + 1 - 6242*d**2 + 6232*d**2 - 437*d**3 wrt d.
-2622
Suppose 3*l = -5*h + 1662, 0 = 4*h + l - 939 - 385. Suppose 3*b + s = -2*s + h, 6 = 2*s. Find the second derivative of -52 - 55 - 3*o**3 + b + 15*o wrt o.
-18*o
Let o(n) be the first derivative of 493*n**6/6 - 310*n**3/3 - 3*n + 1178. What is the third derivative of o(y) wrt y?
29580*y**2
Find the third derivative of 1162*p**2 - 584*p**2 + 365*p - 572*p**2 - 2829*p**3 wrt p.
-16974
Let z(v) = 2*v**2 - 14*v - 20. Let c be z(9). Suppose 0 = -17*b + 16*b + c. Differentiate b - 29*u - 24 - 28 with respect to u.
-29
Let j(n) = -2*n - 7. Let z = 84 + -92. Let o be j(z). What is the second derivative of -20*a**4 - 23*a**4 + 31*a**4 - o*a - 24*a wrt a?
-144*a**2
Let v be -10*(-3 + 639/225). Let z(r) be the first derivative of 0*r**3 + 0*r + 0*r**4 + 17 - 15/2*r**2 - v*r**5. Find the second derivative of z(c) wrt c.
-96*c**2
Find the third derivative of -4*h - 2*h**5 - 7686*h**4 + 7686*h**4 + 86*h**2 + 234*h**6 wrt h.
28080*h**3 - 120*h**2
Suppose -7*g = 4*g - 42 + 20. Let w(t) be the third derivative of 2/3*t**3 + 0*t - 19/12*t**4 + 2*t**g + 0. Find the first derivative of w(c) wrt c.
-38
Let f be (-22380)/(-70) - (-6)/21. Differentiate 312*h**2 - 36 + 18*h - 626*h**2 + f*h**2 wrt h.
12*h + 18
Let j(r) be the first derivative of -8035*r**3/3 - r**2 + 1547*r - 3417. What is the second derivative of j(v) wrt v?
-16070
Suppose -f - 7 = -3*d, 5*f - 3 = 2*d - 6*d. Find the third derivative of -81*s**3 + 17*s + s**d - 79*s**3 + s**2 + 118*s**3 wrt s.
-252
Let a(l) be the first derivative of 57/7*l**7 + 2*l**3 + 16 + 0*l**2 + l + 0*l**5 + 0*l**4 + 0*l**6. Find the third derivative of a(t) wrt t.
6840*t**3
Let u(v) be the third derivative of -v**8/336 - v**7/30 - v**6/30 + v**4/24 + 379*v**3/2 - 13*v**2 - 70*v. What is the second derivative of u(k) wrt k?
-20*k**3 - 84*k**2 - 24*k
Let m(j) be the second derivative of -7*j**7 - 2*j**6/5 + 439*j**4/3 + j**2 + 7602*j. What is the third derivative of m(u) wrt u?
-17640*u**2 - 288*u
Suppose -4*j + 10 = -6, 2*d + 4*j = 100. F