For all integers $x$ and $y$, if $ x^3 + x = y^3 + y$ then $x = y$.
127183
Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$
113250
If $x+{1\over x} = r $ then what is $x^3+{1\over x^3}$?
63651
If $(a,b)=1$ then there exist positive integers $x$ and $y$ s.t $ax+by=1$.
155757
Number theory: $x^y + 1 = y^x$
151985
If $p$ is a prime and $x,y \in \mathbb{Z}$, then $(x+y)^p \equiv x^p+y^p \pmod{p}$
49372
$x+1/x$ an integer implies $x^n+1/x^n$ an integer
21006
Let $a,b$ be positive integers such that $a\mid b^2 , b^2\mid a^3 , a^3\mid b^4 \ldots$ so on , then $a=b$?
31295
$x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)
5729
If $a^2+b^2+c^2=1$ then prove the following.
142313
Find all natural numbers $x,y$ such that $3^x=2y^2+1$.
31937
How do I prove equality of x and y?
13914
If $a^2+b^2=c^2$ then $a$ or $b$ is even.
94516
If $3$ divides $a^2 + b^2$, then $3$ divides $a$ and $3$ divides $b$
44019
Show that for any prime $ p $, there are integers $ x $ and $ y $ such that $ p|(x^{2} + y^{2} + 1) $.
104987
Equivalence Relation with dividing x and y integers
121353
If $x$ and $y$ are not both $0$ then $ x^2 +xy +y^2> 0$
118727
$g(x+y)+g(x)g(y)=g(xy)+g(x)+g(y)$ for all $x,y$.