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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
That´s good point.
You can always use isqrt
Yes - most katas allow you to import anything you want, unless it is explicitly banned (this will be stated in the kata description if so).
You can even also use some advanced packages, like NumPy for more advanced mathematics katas.
For Python you can read the list of available packages here:
Python - importable packages
didn't know you can import stuff here