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AZE JBMO TST
AZE JBMO TST
Source: AZE JBMO TST
May 2, 2015
number theory
AZE JBMO TST
Problem Statement
All letters in the word
V
U
Q
A
R
VUQAR
V
U
Q
A
R
are different and chosen from the set
{
1
,
2
,
3
,
4
,
5
}
\{1,2,3,4,5\}
{
1
,
2
,
3
,
4
,
5
}
. Find all solutions to the equation
(
V
+
U
+
Q
+
A
+
R
)
2
V
−
U
−
Q
+
A
+
R
=
V
U
Q
A
R
.
\frac{(V+U+Q+A+R)^2}{V-U-Q+A+R}=V^{{{U^Q}^A}^R}.
V
−
U
−
Q
+
A
+
R
(
V
+
U
+
Q
+
A
+
R
)
2
=
V
U
Q
A
R
.
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