Symmetries and reductions of some algebraic equations are considered. Transformations that preserve the form of several algebraic equations, as well as transformations that reduce the degree of these equations, are described. Illustrative examples are provided. The obtained results and solutions can be used as test problems for numerical methods of solving algebraic equations.

翻译：本文探讨了若干代数方程的对称性与约化问题。描述了保持特定代数方程形式不变的变换，以及能够降低此类方程次数的变换方法，并提供了示例说明。所得结果与解可作为代数方程数值求解方法的测试算例。