2012 UNCO Math Contest II Problems/Problem 4

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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 $n+11$?


Solution

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

See Also

2012 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions
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