Context: Quotient groups and subgroups together form a way of describing every group by its presentation: any group is the quotient of the free group over the generators of the group, quotiented by the subgroup of relations. The dihedral group D4, for example, can be generated by two elements r and f (for example, r = r1, the right rotation and f = fv the vertical (or any other) reflection), which means that every symmetry of the square is a finite composition of these two symmetries or their inverses. Together with the relations

Question: What groups can be combined to describe every group?
Answer: is the quotient of the free group over the generators of the group

Question: What group can be the quotient of the free group over the generators of the group?
Answer: any group

Question: What is a finite composition of two symmetries or their inverses?
Answer: every symmetry of the square

Question: What do quotient groups describe by themselves?
Answer: Unanswerable

Question: What presentation describes every group?
Answer: Unanswerable

Question: How many elements does the dihedral group generate?
Answer: Unanswerable

Question: What of a square is an infinite composition?
Answer: Unanswerable

Question: Which two elements does D4 generate?
Answer: Unanswerable