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Problem
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a polynomial of degree 3 such that
f
(
k
)
=
−
2
k
f(k) = -\frac{2}{k}
f
(
k
)
=
−
k
2
for
k
=
2
,
3
,
4
,
5
k = 2, 3, 4, 5
k
=
2
,
3
,
4
,
5
. Then the value of
52
−
10
f
(
10
)
52 - 10f(10)
52
−
10
f
(
10
)
is equal to:
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