it means "Opportunity"
religion? Religion is not a word for a set of beliefs but a word for a set of beliefs that explain existence as well as meaning to the universe. Ideology is probably the closest word that explains a set of beliefs probably.
text
tenet
Creed. (Also, a five letter word for a set of beliefs beginning with "d" is dogma).
dawn
Formulaic
* Set It Off * The TV Set * Murder-Set-Pieces
Successfully is a 12 letter word with three set of double letters. Stubbornness is another 12 letter word.
An Anagram is a word or phrase that's made given the letters of another word or phrase, or just a set of letters in general. In this particular instance, the largest single word that is an anagram of the given letters is mileage.
matheics
The output is a set of irreducible numerical semigroups containing it.