Solve the Recurrence:

a) T(n) = 2T(n/5)+6n^3 for n > 1, n a power of 5

T(1) = 6

b) T(n) = 40T(n/3) + 2n^3 for n > 1, n a power of 3

T(1) = 5

c) nT(n) = 16T(n/2) + 7n^4 for n > 1, n a power of 2

T(1) = 1

d) T(n) = 14T(n/5) + 6n for n > 25, n a power of 5

T(25) = 60

e) T(n) = 4T(n/4) + 2n^2 for n > 16, n a power of 4

T(16) = 50

Please show and explain steps so that I can thoroughly process the solution.