Find the number of positive integral solutions satisfying the equation `(x_1+x_2+x_3)(y_1+y_2)=77.`

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

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

The number of positive integral solutions of the equation x + y + z = 100 is

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)

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)(y/(sqrt(1+y^2)))=sin^(-1)(3/(sqrt(10)))

Find the number of positive integral solution of the equation tan^(-1)x+cos^(-1)y/(sqrt(1-y^2))=sin^(-1)3/(sqrt(10))

The number of positive integral solutions of the equation |(x^3+1,x^2y,x^2z),(xy^2,y^3+1,y^2z),(xz^2,z^2y,z^3+1)|=11 is

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

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