I have been looking for a Julia package to solve simultaneous algebraic equations. A simple example for two equations and two unknowns might look like:

x^{2}+y^{2}=5

y=\frac{1}{2}x^{3}+3x^{2}-2x-3

Here is a plot of the two equations:

The packages that I have run across seem to be aimed at linear systems or ODEs. I apologize if there is a simple solution that I have missed.