SOLUTION: Determine all integers k such that {{{k^3+k+1}}} is divisible by 11.

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Question 1019374: Determine all integers k such that k%5E3%2Bk%2B1 is divisible by 11.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You only need to check k = 0, 1, ..., 10 (this isn't too hard to check manually). If k works, then anything congruent to k (mod 11) will also work.