Terminology: Name for general, non-differential equations over $\mathbb{R}^n$

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Let $x \in \mathbb{R}^n$ be a variable, and $f_1, \ldots , f_n : \mathbb{R}^n \mapsto \mathbb{R}$ be a sequence of functions, each having a closed form expression. Assume that we want to solve the system $f_i(x) = 0$ where $1 \leq i \leq n$. Is there a specific name for such a system? I am in need of a "name", because I will be continually referring to this setting in writing. I tried to come up with things of the form "a system of _____ equations", but I couldn't find a good one.

Remark: Initially, I considered using the adjective "non-differential", but it sounded weird to me. I am currently using "algebraical" equations, but this is probably a bad choice. The term "algebraic" has a well defined meaning, and $f_i$ need not be algebraic in general. I can say "transcendental", but $f_i$ need not always include transcendental terms either.

Note: There are no restrictions on $f_i$, other than the stipulation that each have a closed form expression. In summary, I require $f_i$ to have finitely many terms, each involving elementary functions.

Thanks!