Find all integers n for which this fraction is an integer

[mr.green717]

Find all integers n for which the fraction n ^ 3 + 2010 / (n ^ 2 + 2010) is equal to integer.

please I need help :( Thank you

 

[naele]

Which values immediately come to your mind?

 

[mr.green717]

0 and 1

 

[naele]

Right, those are the only two that are easy to find. Another possibility would have been to find an integer such that n^3 + 2010=0 but there are none. If you have any programming skill you could try and brute force it with a relatively easy to implement algorithm.