Show that 107 is of the form 4q+3 for any integer q.

Show that the square of any positive odd integer is of the form 4q + 1 for any integer q.

Show that the square of any odd integer is of the form 4q +1 for any integer q.

Show that square of any odd integer is of the form 4q + 1 for some integer q.

Show that every positive even integer is of the form 2q and every positive odd integer is of the form 2q +1 for some integer q.

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q .

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q .

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q.

Prove that if a positive integer is of the form 6q+5 , then it is of the form 3q+2 for some integer q , but not conversely.

Prove that if a positive integer is of the form 6q+5, then it is of the form 3q+2 for some integer q, but not conversely.

Show that every positive odd integer is of the form 2q + 1, for some integer q.