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MBMT Team Rounds
2015 F6 E3
2015 F6 E3
Part of
MBMT Team Rounds
Problems
(1)
MBMT Team -- Fermat #6/Euler #3
Source:
3/29/2015
If
a
a
a
,
b
b
b
and
c
c
c
are real numbers such that
a
b
=
31
ab = 31
ab
=
31
,
a
c
=
13
ac = 13
a
c
=
13
, and
b
c
=
5
bc = 5
b
c
=
5
, compute the product of all possible values of
a
b
c
abc
ab
c
.