I had solved
-avais résolu
Past perfect I conjugation of solve.
To make a long story short, the problems on the blackboard which I had solved thinking they were homework were in fact two famous unsolved problems in statistics.
Pour faire une longue histoire courte, les problèmes sur le tableau noir que j'avais résolu pensant qu'ils étaient les devoirs sont en fait deux grands problèmes non résolus dans le domaine des statistiques.
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