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Tie 1
BMT 2022 Algebra Tiebreaker p1
BMT 2022 Algebra Tiebreaker p1
Source:
September 27, 2023
algebra
Problem Statement
For all
a
a
a
and
b
b
b
, let
a
♣
b
=
3
a
+
2
b
+
1
a\clubsuit b = 3a + 2b + 1
a
♣
b
=
3
a
+
2
b
+
1
. Compute
c
c
c
such that
(
2
c
)
♣
(
5
♣
(
c
+
3
)
)
=
60
(2c)\clubsuit (5\clubsuit (c + 3)) = 60
(
2
c
)
♣
(
5♣
(
c
+
3
))
=
60
.
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