Find the number of non-negative integral solutions of `x+y+z+wlt=20.`

Find the number of positive integral solutions of x y z=21600.

Find the number of non-negative integral solutions of the equation x+y+z=10.

Find the number of non-negative integer solutions of equation x+y+z+2w=20.

Find number of negative integral solution of equation x + y + z = - 12

Find the total number of positive integral solutions for (x ,y ,z) such that x y z=24. Also find out the total number of integral solutions.

The number of non-negative integral solutions of x_1+x_2+x_3+4x_4=20 is

Find the number of positive integral solutions of the equation x+y+z=12.

Find the number of positive integreal solutions of ( pairs of positive integers satisfying ) x^2 - y^2 = 353702 .

Find the number of positive integral solutions of the inequality 3x+y+zlt=30.

Find the numbers of non-zero integral solutions of the equation |1-i|^(x) =2^(x)