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A polynomial P(x)P(x)P(x) of degree 131313 satisfies P(k)=FkP(k)=F_{k}P(k)=Fk for k=15,16,....,28k=15,16,....,28k=15,16,....,28 (FkF_{k}Fk denotes the kthkthkth Fibonacci number.)
Find the value of P(29)P(29)P(29).
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