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I believe the question you are working on will usually tell you whether you are finding Q or K. From the problems I've done, you are often given a K value at the beginning and are told to find Q in order to compare it to K.
Both Q and K are calculated the same way. Both are the concentration of the products over the concentration of the reactants. K is that value when the reaction is at equilibrium and Q is that value at any other time.
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