Positive integer solutions to $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{x+y}=4$
90786
What are $x$, $y$ and $z$ if $\frac{x}{y + z} + \frac{y}{x + z} + \frac{z}{x + y} = 4$ and $x$, $y$ and $z$ are whole numbers?
83496
Math contest integer triplet problem: $x + y + z + xy + yz + xz = xyz − 1$
33314
How many non-negative integer solutions does $x_1+x_2+\cdots+x_n=A$ have?
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
54929
Finding integer solutions for $6x+15y+20z=1$
25203
with inequality $\frac{y}{xy+2y+1}+\frac{z}{yz+2z+1}+\frac{x}{zx+2x+1}\le\frac{3}{4}$
88760
Find the integral solutions to $ x^2+y^2+z^2=x^2y^2$
106868
Prove that $x+\frac1{4x} ≥ 1$ for $x>0$
50283
Find answer of $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{y+x}=4$
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
70662
How many non-negative integer solutions does the equation $3x + y + z = 24$ have?
145152
How to prove that $\frac{x^2}{yz+2}+\frac{y^2}{zx+2}+\frac{z^2}{xy+2}\geq \frac{x+y+z}{3}$ holds for any $(x,y,z)\in[1,2]^3$
39993
Count the number of positive solutions for a linear diophantine equation
96185
Solutions of $x^2+y^2+z^2 = n$ in $\mathbb{Z}_2$.
53725
Factor $(x+y)^4+x^4+y^4$
1001
Number of integer solutions of $x^2 + y^2 = k$
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$