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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.
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Still can't sense what depth of simplification and derivation is expected.
For example, shall it simplify expressions like (1-x^2) / (1+x)^2 or more complicated polynomial expressions?
Or shall the code derive functions like (ax)^(bx)^(cx)?