> 
> Find all non-negative integral solutions $(n\_1, n\_2, ..., n\_{14})$ to
>  $\sum^{14}\_{i=1} n\_i^4=1599$.
> 
> 
> 

I have a bit of difficulties to start the problem. Is anyone is able to give me a hint? Please I ask you to don't give me the solution to the question; I want to resolve by myself.