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Source:
January 1, 2022
number theory
Problem Statement
How many ordered triples of nonzero integers
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
satisfy
2
a
b
c
=
a
+
b
+
c
+
4
2abc = a + b + c + 4
2
ab
c
=
a
+
b
+
c
+
4
?
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