Difference between revisions of "2012 UNCO Math Contest II Problems/Problem 4"

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== Solution ==
 
== Solution ==
 
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(a) <math>289</math> (b) <math>11</math>
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Does anyone even do these?
  
 
== See Also ==
 
== See Also ==

Latest revision as of 15:16, 4 March 2019

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