Find the number of pairs $(x,y)$ of integer numbers (positive or negative) such that $2020x+2022y+1=xy$.
44744
Integer solutions of $xy+9(x+y)=2006$
54929
Finding integer solutions for $6x+15y+20z=1$
116822
Finding the next rational number
60385
How to solve this sequence $165,195,255,285,345,x$
155757
Number theory: $x^y + 1 = y^x$
144025
Number of Solutions in this Number Puzzle
41939
How many ordered quadruples $(w, x, y, z)$ of non-negative integers are there such that $wxyz = 288$? Why?
62036
Finding the number of non-negative integral solutions of $x + y + z = 10$
21679
Solving $x^3-y^3=xy+61$ in integers
91451
find all positive integer $m,n$
73575
Number of pairs of strings satisfying the given condition
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
135087
Find integer solutions of $xy=-1$ (using only elementary ring theory).
118744
Show that there are exactly 16 pairs of integers $(x,y)$ such that $11x+8y+17=xy$.
63651
If $(a,b)=1$ then there exist positive integers $x$ and $y$ s.t $ax+by=1$.
10753
Natural number solutions to $\frac{xy}{x+y}=n$ (equivalent to $\frac 1x+\frac 1y=\frac 1n$)
2944
How many triples $(x,y,n)$ are there such that $x^n - y^n = 2^{100}$