I'd expect simple tasks like calculating RMSE to definitely be within the abilities of LLM, you might combine things like actually reading the vectors from a CSV file (or a custom format) and calculating RMSE then sorting them etc to see the limitations of LLMs. Most students have no issues with calculating RMSE, they have issues with trying to do all the other stuff that leads to it, and then the combination of sorting and other tasks.
Regarding the restrictions, most of them are just don't use itoa/strtod or strcpy or some other standard library functions.