
Find the third derivative of 646*n**3 + 1169*n**5 - 534*n**5 - 646*n**3 + 6*n**4 - 2892*n**2 wrt n.
38100*n**2 + 144*n
Let p(j) be the third derivative of -2147*j**5/60 - 1411*j**4/4 + 131*j**2 + j - 1. Find the second derivative of p(w) wrt w.
-4294
Let u(o) be the third derivative of -337*o**5/10 - o**4/6 + 16*o**3/3 - 4*o**2 + 109. Find the second derivative of u(k) wrt k.
-4044
Suppose u + 8 = o, 2*o + 3*o + 3*u = 72. Let g be (-6)/4*(-40)/o. Find the third derivative of -s**2 + 2*s**5 - 9*s**g + 0*s**5 wrt s.
-420*s**2
Let p(l) be the third derivative of 103*l**7/30 + 875*l**3/2 + 247*l**2 + l. What is the derivative of p(k) wrt k?
2884*k**3
Let c(h) be the second derivative of -2341*h**7/42 - h**6/30 - 10*h**4/3 + 55*h**2/2 - 6577*h. What is the third derivative of c(p) wrt p?
-140460*p**2 - 24*p
Let s(p) be the third derivative of 0*p + 13*p**3 + 64*p**2 - 271/24*p**4 + 0. Find the first derivative of s(y) wrt y.
-271
Let u(s) = 7*s - 24. Let w be u(4). Differentiate 9*j - 119 + 2*j**3 + 49 - 4*j - w with respect to j.
6*j**2 + 5
Let o(w) = 2*w + 13. Let t be o(0). Suppose t = 3*z - 2*b, 4*z - 4 = 2*b - 6*b. What is the third derivative of -28*l**3 + 13*l**3 - 6*l**2 + 7*l**z wrt l?
-48
Let n(g) = g**2 - 39*g + 40. Let t be n(38). What is the second derivative of -72*h - 65*h**5 - 3*h**2 + 68*h + 3*h**t wrt h?
-1300*h**3
Let f(i) be the first derivative of i**4/4 + 19*i**3/3 + 1642*i - 1604. Differentiate f(m) with respect to m.
3*m**2 + 38*m
Suppose 15*i = 34*i - 38. Find the third derivative of 15358*q - 15358*q + 31*q**4 + 49*q**i wrt q.
744*q
What is the second derivative of -1 + 0 - p**5 - 709*p**2 + 1514*p + 37*p**2 + 94*p**2 wrt p?
-20*p**3 - 1156
Let u = 12 + 50. What is the third derivative of 8*k - 48*k**2 + 112*k**2 - u*k**2 + 78*k**6 wrt k?
9360*k**3
Let c(n) be the third derivative of 1789*n**6/60 - 839*n**3/3 - 2*n**2 - 14. Differentiate c(b) with respect to b.
10734*b**2
Let c(s) be the third derivative of 239*s**6/6 - 71*s**4/2 + s**3/6 + 40*s**2 + 5. What is the second derivative of c(r) wrt r?
28680*r
Suppose -4*q + 12 = -q, -5*q - 10 = -5*f. What is the third derivative of 4*l**f + 16*l**2 - 19*l - 13*l**6 - 15*l**2 wrt l?
-1080*l**3
Let z(q) = -1702*q**4 - 2*q**2 + 1965. Let g(u) = 1703*u**4 + 3*u**2 - 1967. Let n(i) = 3*g(i) + 4*z(i). Find the third derivative of n(v) wrt v.
-40776*v
What is the derivative of -3909 - 5894*j**3 - 2140 + 304*j**3 wrt j?
-16770*j**2
Find the second derivative of -2007684*n**4 + 776*n**3 - 101*n + 0*n**2 + 1 - 132*n + 3*n**2 + 0*n**2 + 2007683*n**4 wrt n.
-12*n**2 + 4656*n + 6
What is the first derivative of -25*q**2 - 2*q**2 - 1888 + 27*q**2 + 3604*q**4 wrt q?
14416*q**3
Let z(f) = -2*f**3 + 486*f**2 + 5118*f. Let u(y) = -9*y**2. Let l(s) = 8*u(s) + z(s). Find the second derivative of l(t) wrt t.
-12*t + 828
Let d(t) = -3*t**3 + 83*t**2 + t + 475. Let r(c) = -4*c**3 + 81*c**2 + 475. Let h(l) = -3*d(l) + 2*r(l). Find the second derivative of h(q) wrt q.
6*q - 174
Let u = -10286 + 10290. Let p(y) be the second derivative of 0 + 0*y**u + 21/20*y**5 + 0*y**2 - 15*y + 5*y**3. What is the second derivative of p(t) wrt t?
126*t
Let g(u) = u**3 - u**2 - u + 6. Let m be g(0). Let d(r) = 18*r + 57. Let h(a) = -53*a - 170. Let i(c) = m*h(c) + 17*d(c). Differentiate i(y) wrt y.
-12
Let d(j) = -89*j - 1335. Let y be d(-15). Let q(k) be the second derivative of y + 18*k + 3*k**2 + 7/6*k**3. What is the first derivative of q(r) wrt r?
7
Let d(o) be the second derivative of -1505*o**4/6 - 1999*o**2/2 + 1402*o. What is the derivative of d(k) wrt k?
-6020*k
Let x(w) be the third derivative of -423*w**8/28 - 2413*w**5/30 + 18*w**2 + 2*w + 15. What is the third derivative of x(n) wrt n?
-304560*n**2
Let l(q) = -q**2 + 3*q + 34. Let g be l(-5). Let s(w) = -w**2 + 1. Let o(f) = -75*f**3 - 6*f**2 + 64. Let b(c) = g*s(c) + o(c). Differentiate b(v) wrt v.
-225*v**2
Let w(g) = g**2 - 9*g - 19. Let h be w(11). Suppose -h - 13 = -4*j. What is the second derivative of 16*d + 3*d - j*d**5 + 2*d + 19*d**5 wrt d?
300*d**3
Let l be 2/(-1)*(1035/10 + -4). Let x = -94 - l. Differentiate -10 + 115*u - 4 - x*u wrt u.
10
Find the third derivative of -5*i**5 + 26*i + 3*i**5 - 258031940 + 105*i**4 + 258031929 + 7*i**2 wrt i.
-120*i**2 + 2520*i
Find the second derivative of 2*b + 192*b**2 - 25*b**2 - 592 - 15*b**2 + 98*b**2 - 4*b**4 wrt b.
-48*b**2 + 500
Let y be (-110)/(-25) + 0 + 6/(-15). Find the first derivative of -13 + 18*z**3 + y*z**3 - 2*z**3 + 10*z**3 - z wrt z.
90*z**2 - 1
Let b(q) be the second derivative of 10*q**3 - 10 + 2*q**2 - q - 6*q**2 + 0*q**2 - 27*q**2. Differentiate b(z) with respect to z.
60
Let u = -39381 - -39383. Let v(l) be the second derivative of 0*l**u - 17/10*l**5 - l**3 + 0 - 43*l - 1/12*l**4. What is the third derivative of v(n) wrt n?
-204
Let g(k) be the second derivative of 1043*k**5/10 - 1895*k**4/12 + 1307*k. Find the third derivative of g(f) wrt f.
12516
Differentiate -1970*l**2 + 652*l**2 - 296*l**2 - 791*l**2 - 939 + 139 with respect to l.
-4810*l
What is the third derivative of 715*j**2 + 151*j**6 - 47*j**4 - 13*j**5 - 149*j**6 + 13*j**5 wrt j?
240*j**3 - 1128*j
Let o(w) = 1081*w**5 + 2*w**2 - 298*w + 18. Let v(c) = -4323*c**5 - 8*c**2 + 1193*c - 75. Let l(s) = 25*o(s) + 6*v(s). Find the third derivative of l(k) wrt k.
65220*k**2
Let b(z) be the third derivative of 408*z**6/5 + 2637*z**4/8 + 10*z**2 + 179. What is the second derivative of b(s) wrt s?
58752*s
Let p = -83 - -109. Find the third derivative of 36*q**6 + 22*q**6 + 21*q + 0*q**2 - 5*q**2 - p*q wrt q.
6960*q**3
Let u be -8*2*(-2 + 7)/(-10). Differentiate -29*o - 16 - 8*o - 12 + u with respect to o.
-37
Let l(h) = 8*h**3 + 5305*h**2 - 8473. Let x(k) = -k**3 - 663*k**2 + 1059. Let v(g) = 2*l(g) + 17*x(g). What is the first derivative of v(w) wrt w?
-3*w**2 - 1322*w
What is the third derivative of 2*m**2 - 2706 - 1541*m**5 + 4*m**2 - m**2 + 2702 wrt m?
-92460*m**2
Let w = -12 - -1. Let d(p) = 15*p**3 + 15. Let k(a) = -30*a**3 - 29. Let r = -112 - -106. Let o(j) = r*k(j) + w*d(j). Differentiate o(v) with respect to v.
45*v**2
Let c(u) = 2 + 133*u - 96*u - 136*u - 309*u. Let j be c(-1). Differentiate 13 - j*k**3 + 8 + 429*k**3 wrt k.
57*k**2
Let g = 1108 - 1100. Suppose 3*b = 25 - 7. What is the third derivative of 88*i - 6*i**4 - g*i**4 - 88*i + b*i**2 wrt i?
-336*i
Let w(f) = 26*f**3 + 813*f**2 - 856*f + 5. Let q(u) = 31*u**3 + 813*u**2 - 856*u + 6. Let k(r) = 5*q(r) - 6*w(r). What is the second derivative of k(v) wrt v?
-6*v - 1626
Let u(f) = -89*f**2 - 11*f - 370. Let g(v) = -91*v**2 - 12*v - 387. Let y(p) = -3*g(p) + 4*u(p). What is the first derivative of y(n) wrt n?
-166*n - 8
Differentiate -2801013*y**2 + 2801013*y**2 - 2*y + 7787 - 3353*y**3 wrt y.
-10059*y**2 - 2
Let d = 19579 + -19579. Let y(s) be the first derivative of 17 + 0*s**2 + 0*s - 19/3*s**3 + 29/5*s**5 + d*s**4. Find the third derivative of y(h) wrt h.
696*h
Let c(o) be the first derivative of -1347*o**2/2 - 9396*o + 4672. Differentiate c(y) with respect to y.
-1347
Find the second derivative of 27*m**3 + 2 - 10 - 151*m + 8 + 1 - 23*m**2 wrt m.
162*m - 46
What is the third derivative of -115*t**2 - 350*t**4 - 152*t**2 + 264*t**4 + 2*t - 2*t wrt t?
-2064*t
Let h be 3686/6 - (-7)/(42/4). Differentiate 624*g - 25 - h*g + 104 with respect to g.
9
Let v = -29 - -34. Let a(n) be the first derivative of -9*n**3 - 33 - n**v - 4*n**3 - 1. Find the third derivative of a(b) wrt b.
-120*b
Suppose -11*f + 22*f - 1782 = 0. Differentiate 11 - f + 46 + 84*b - 17*b + 43*b wrt b.
110
Suppose 4*j = 5 + 27. What is the second derivative of 4*l + 148*l**2 - 157*l**2 + j*l + 3*l - 3 wrt l?
-18
Find the third derivative of 8*n + 9*n + 62 - 16*n + 774*n**3 - 820*n**2 - 62 wrt n.
4644
Let h be (-126)/(-36)*(-12)/(-14). What is the second derivative of -3*v**h - 76*v - 32*v + 22*v wrt v?
-18*v
Let c(j) = 2153*j**3 - 2*j**2 - 368*j - 22. Let f(h) = -1077*h**3 + h**2 + 175*h + 11. Let g(d) = 6*c(d) + 13*f(d). What is the second derivative of g(m) wrt m?
-6498*m + 2
Let r(l) = -2*l - 68. Let c be r(-39). What is the second derivative of -67*a**5 - 193*a + c*a**3 - 31*a**3 + 8*a**3 + 11*a**3 - 18*a**5 wrt a?
-1700*a**3 - 12*a
What is the first derivative of 780 - 468*u**4 + 941 + 235