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1986 AIME Problems
Problems
(1)
Largest Divisor
Source:
12/22/2005
What is that largest positive integer
n
n
n
for which
n
3
+
100
n^3+100
n
3
+
100
is divisible by
n
+
10
n+10
n
+
10
?
modular arithmetic
algorithm
algebra
polynomial
greatest common divisor
number theory
Euclidean algorithm