An algebra problem by MaFiA maNiAc

Algebra Level 3

(1122)(1132)(1142)(1120072)=? \large \left( 1 - \dfrac1{2^2} \right)\left( 1 - \dfrac1{3^2} \right)\left( 1 - \dfrac1{4^2} \right)\cdots \left( 1 - \dfrac1{2007^2} \right) = \, ?

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