If the numbers of solutions in positive integers of `2x + 3y = 763` is N, then find `(N-2)^(1/3)`

If N is the number of positive integral solutions of x_1x_2x_3x_4 = 770 , then N =

The number of positive integral solutions of x+y+z=n,n in N, n >= 3 is

The number of positive integral solutions of x+y+z=n,n in N,n>=3 is

The sum of the squares of the first n positive integers 1^2 + 2^2 + 3^2 + ………+ n^2 is (n(n +1)(2n+1))/(6) . What is the sum of the squares of the first 9 positive integers?

If N is the number of positive integral solutions of x_(1)x_(2)x_(3)x_(4)=770, then N=

Find the number of positive integers n such that 105 is a divisor of n^2+n+1.

Find the number of positive integers n such that 105 is a divisor of n^(2)+n+1

The number of positive integers n in the set {1, 2, 3, .......100} for which the number (1^(2)+2^(2)+3^(2)+......+n^(2))/(1+2+3+......+n) is an integer is