Create a math quiz with LaTex by randomly choosing questions from a bank

This can be done, although I haven't worked out a model to show how. Latex/Tex is a programming language in the sense that one can declare and initialize variables (newcounter, setcounter), iterate (there are while loops), and use conditionals (ifthenelse). Additionally, one caan call a random number generator (I don't habitually use this, but I think it is rand). Combined with input, include or some similar tool these ingredients are sufficient to write a latex file that generates an exercise sheet with problems drawn randomly from a bank.

So in theory different students could get different questions? The software I know of that does this is WeBWorK. It will even score student-entered answers for you. See LINK . Supported by the Mathematical Association of America.

As Brandon mentioned in a comment, I'm working to develop an online platform for this use-case, where the banks are generated using SageMath code and PreTeXt XML. Problem sets for linear algebra and differential equations are available to the public at https://checkit.clontz.org/ and I'll be working to add better support for new authors in the near future. The community for the CheckIt platform is on the #checkit-app channel of the Mastery Grading Slack.