... IMC2007, Blagoevgrad, BulgariaDay 1, August 5, 2007 Problem 1. Let f be a polynomial of degree 2 with integer coefficients. ... the first columns of A1, . . . , Akare linearly dependent, the first1IMC2007, Blagoevgrad, BulgariaDay 2, August 6, 2007 Problem 1. Let f : R → R be a continuous function. Suppose that for...