MathDB
Problems
Contests
National and Regional Contests
North Macedonia Contests
JBMO TST - Macedonia
2011 Junior Macedonian Mathematical Olympiad
4
find all integers m
find all integers m
Source: Macedonian JBMO TST 2011
May 20, 2013
number theory proposed
number theory
Problem Statement
Find all integers
m
m
m
such that
m
3
+
m
2
+
7
m^3+m^2+7
m
3
+
m
2
+
7
is divisible by
m
2
ā
m
+
1
m^2-m+1
m
2
ā
m
+
1
.
Back to Problems
View on AoPS