$$250\ dozen\ eggs= eggs$$
$\left\{\begin{matrix}d=\frac{1}{250enoz}\text{, }&n\neq 0\text{ and }z\neq 0\text{ and }o\neq 0\\d\in \mathrm{R}\text{, }&g=0\text{ or }s=0\end{matrix}\right.$
$\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&\left(d=\frac{1}{250enoz}\text{ and }n\neq 0\text{ and }z\neq 0\text{ and }o\neq 0\right)\text{ or }s=0\end{matrix}\right.$