MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
91
91
Part of
PEN A Problems
Problems
(1)
A 91
Source:
5/25/2007
Determine all pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of positive integers such that
a
b
2
+
b
+
7
ab^2+b+7
a
b
2
+
b
+
7
divides
a
2
b
+
a
+
b
a^2 b+a+b
a
2
b
+
a
+
b
.
Divisibility Theory