Find an integer $y$ such that $x= (ay+b)/c$ is also an integer
114404
For which positive integer values of $n$ does $a|mn-b?$
83496
Math contest integer triplet problem: $x + y + z + xy + yz + xz = xyz − 1$
20003
Prove for positive integers a,b,c and d (where b does not equal d), if gcd(a,b) = gcd(c,d) = 1, then a/b + c/d is not an integer
151012
Find the value of $\lfloor x+y \rfloor$ where $x \in \mathbb{R}$, $y \in \mathbb{Z}$
16948
Need help with a proof that if $xy=0$ then $x=0$ or $y=0$
122891
integer as sum of three binomials
94831
Finding value of $a +b+c$
126354
Find all positive integers $a, b, c$ such that $1/a + 1/b + 1/c = 4/3999$
25784
Let $x$ and $y$ be positive integers such that $xy \mid x^2+y^2+1$.
54430
For $a,b$ coprime, there exists positive integers $x,y$ such that $ax-by=1$
148906
Finding integers $m,n$ such that $(m-n)^2=4mn/(m+n-1)$
35066
Nature and number of solutions to $xy=x+y$
8504
Factoring $x^n + y^n$ over the integers
41364
How to prove that $x^y - y^x = x + y$ has only one solution in positive integers?
135750
Prove that if a and b are integers, then there are unique integers q and r such that $a = bq + r$, $-|b|/2 < r \le |b|/2$
5595
$x^y = y^x$ for integers $x$ and $y$
31257
Let $a,b,c>0$ such that $a+b+c=3$, find max/min of $\frac1{a^2+1}+\frac1{b^2+1}+\frac1{c^2+1}$