In this paper discusses the relation d^m+b^n=g^n, where d 3 is impracticable under any natural values of d,b,g. In this paper it is shown that the d^m+b^n=g^n when n > 3; m > = 2; m < n also not sustainable under natural values of d,b,g. This statement is a generalized formulation of Fermat's theorem, allowing the degree of least value smaller than other degrees.
The sharp reduction in the number of non-school establishments, sports facilities, etc. leads to the fact that most adolescents and youth are not included in the system of organized forms of leisure that is perceived mostly youth as the main sphere of activity.