IMO Shortlist 1969 problem 17


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(CZS 6) Let d and p be two real numbers. Find the first term of an arithmetic progression a_1, a_2, a_3, \cdots with difference d such that a_1a_2a_3a_4 = p. Find the number of solutions in terms of d and p.
Izvor: Međunarodna matematička olimpijada, shortlist 1969