Indirectly reference specific sections of a LaTeX file

[avidseeker]

I was wondering if pandoc could help me solve this problem: https://tex.stackexchange.com/questions/683660

I have big-book.tex containing many exercises in \begin{problem} environments, and I want to make a homework.tex for students selecting only a few of them.

Can Pandoc have a lua script that parses big-book.tex and returns the nth problem environment? If it can, then homework.tex would have for example:

---
title: Homework
date: 2024-07-16
---

%problem[1]%

%problem[3]%

%problem[7]%

and the lua script will replace each with their corresponding environment from big-book.tex