It took me some month to search the Internet for standard Algebraic Surfaces and translate them for a Blender use. Sure there are some more objects, but now I can offer you two kind of packages with about 100 mathematical equations. This one - is the the simple "Add Mesh" version - you find also a two more complex "Geometry Node" Version. 

This Packages are additional packs for the Blender "xyz math functions". You also find all 98 algebraic objects as normal mesh objects "ready to render" in two single Blender files. To use the Equations you have to activate the Blender Add-on "add extra Mesh Object" first. And you have to unzip the zip file which contains the 49 (98) python scripts and copy them into "XYZ maths functions" folder. Please read the instruction in this documentation.

Please notice that this pack contains mostly the same maths objects as in the first complex product "Algebraic Geometry Node". But those in this files are created in a different, easy and quick way to use. The mesh objects are only for demonstration purpose, the intention is that you are create the objects with the maths equitation yourself.
Because of the structure of math-objects, it is mostly necessary to use "merge by distance" to delete overlapping vertices.

A list and a screenshot of all mathematical objects you ´ll find in the FAQ ´s, and in the image slider.