  Systems of equations and their solution sets are studied in polyadic groups.
We prove that a polyadic group $(G, f)=\mathrm{der}_{\theta, b}(G, \cdot)$ is
equational noetherian, if and only if the ordinary group $(G, \cdot)$ is
equational noetherian. The structure of coordinate polyadic group of algebraic
sets in equational noetherian polyadic groups are also determined.
