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8
2016 Guts #8
2016 Guts #8
Source:
August 14, 2022
2016
Guts Round
Problem Statement
There are
n
n
n
integers
a
a
a
such that
0
≤
a
<
91
0\leq a<91
0
≤
a
<
91
and
a
a
a
is a solution to
x
3
+
8
x
2
−
x
+
83
≡
0
(
m
o
d
91
)
x^3+8x^2-x+83\equiv0\pmod{91}
x
3
+
8
x
2
−
x
+
83
≡
0
(
mod
91
)
. What is
n
n
n
?
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