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8
SMT 2007 Algebra #8
SMT 2007 Algebra #8
Source:
June 27, 2012
LaTeX
Problem Statement
If
r
+
s
+
t
=
3
r+s+t=3
r
+
s
+
t
=
3
,
r
2
+
s
2
+
t
2
=
1
r^2+s^2+t^2=1
r
2
+
s
2
+
t
2
=
1
, and
r
3
+
s
3
+
t
3
=
3
r^3+s^3+t^3=3
r
3
+
s
3
+
t
3
=
3
, compute
r
s
t
rst
rs
t
.
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