The article presents and analyses Évariste Galois's solution of the problems set at the 1829 entrance competition for the Paris École préparatoire. Comparing this document with the papers of the other candidates in 1829 and with the archives of this competitive exam from 1826 to 1830 reveals much about the training that Galois received as a mathematician, and sheds light on the nature and limits of the students' mathematical capabilities at the beginning of the 19th century in France. The article thus contributes to the understanding of the relation between mathematical training and the making of mathematical knowledge.
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