Solve: $xyz$ divides $(x+y+z)^2$
37514
How many integers less than $1000$ can be expressed in the form $\frac{(x + y + z)^2}{xyz}$?
66317
How to solve $z^3+z+1=0$?
15025
Solve $xu_x+(x+y)u_y=1$ when $u(1,y)=y$
113268
Proving $x^4+y^4=z^2$ has no integer solutions
13120
Find all integer solutions to $x^2+y^2+z^2=2xyz$
71361
Prove that $x^x+y^y=z^z$ doesn't have integer solutions
41689
Find all solutions: $x^2 + 2y^2 = z^2$
41383
Prove that $(x+y+z)^2(yz+zx+xy)^2 \leq 3(y^2+yz+z^2)(z^2+zx+x^2)(x^2+xy+y^2)$
16774
If $x,y,z\in\mathbb R\setminus \{1\}$ and $xyz=1$, prove that $\frac{x^2}{(x-1)^2}+\frac{y^2}{(y-1)^2}+\frac{z^2}{(z-1)^2}\ge 1$.
40063
$x^2+y^2=z^n$: Find solutions without Pythagoras!
35066
Nature and number of solutions to $xy=x+y$
80982
Solve $a^3+b^3+3ab=1$ with $(a,b)\in \Bbb{Z}^2$
152643
$(xy + 1)(yz + 1)(zx + 1) $ is a perfect square if and only if each factor is
82083
Solving $(z+1)^5 = z^5$
44744
Integer solutions of $xy+9(x+y)=2006$
50760
Solutions to $y^2 = x^3 + k$?
88760
Find the integral solutions to $ x^2+y^2+z^2=x^2y^2$