__________ contains permanent data and gets updated

Fing the value of:

[(1024)^(n/5) × (4)⁽²ⁿ⁺¹⁾ ] / [(16)ⁿ × (4)^(n-1) ]

if 2^x +3^y =7 and 2^x+2 -3^y+2 =7, then find the value of x and y.

If, 6x + y = 20, and 2xy = 32, and 6x > y, then find the value of 216x³ – y³.

[a/(2a²  + 5a + 2)] = 1/6 , then find the value of (a+1)/a ?

If x – 1/x = 9, then x³ – 1/x³ is:

If p = 25 - q - r and pq + r(q + p) = 189, then find the value of (p² + q² + r²).

If (a + b) = 1 and (1/a) – 2b = 5/a then find the value of a² + b².

If x = 35, then the value of x⁵ - 36x⁴ + 36x³ - 36x² + 36x - 1 is