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Italy Contests
ITAMO
1987 ITAMO
1
1
Part of
1987 ITAMO
Problems
(1)
3x^5 +5x^3 -8x is divisible by 120
Source: ITAMO 1987 p1
2/2/2020
Show that
3
x
5
+
5
x
3
ā
8
x
3x^5 +5x^3 -8x
3
x
5
+
5
x
3
ā
8
x
is divisible by
120
120
120
for any integer
x
x
x
number theory
divisible