2012 UNCO Math Contest II Problems/Problem 4

Problem

a) What is the largest integer $n$ for which $n^3+1631$ is divisible by $n+11$ ?

(b) For how many positive integer values of $n$ is $n^3+1631$ divisible by $n+11$ ?

(a) $289$ (b) $11$ Does anyone even do these?

2012 UNCO Math Contest II (Problems • Answer Key • Resources)
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