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) $11$

2012 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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