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To propose a problem, please send an email to the moderators, with a short title.

The Problems:

• POLYA037:2005  International Mathematical Olympiad (Merida, Mexico) and solutions by Jean-Pierre Ehrmann
  
• POLYA036: 2003 William Putnam Lowell Mathematical Competition B-Problems (last update: 12/8/03)
  
• POLYA035: 2003 William Putnam Lowell Mathematical Competition A-Problems (last update: 12/8/03)
  
• POLYA034: 2002 William Putnam Lowell Mathematical Competition B-Problems (last update: 12/16/02)
• POLYA033: 2002 William Putnam Lowell Mathematical Competition A-Problems (last update: 12/16/02)
  
• POLYA032:  Sum of cubes of Pellian Numbers  (proposed by Jose Luis Diaz-Barrero; last update: 11/22/02).
• POLYA031: A combinatorial sum (proposed by Luis Lopes; last update: 11/25/02)
• POLYA030:  Congruent circles tangent to BAC and BIC (proposed by Antreas P. Hatzipolakis; last update: 8/12/02).
• POLYA029: 2002 International Mathematical Olympiad (Glasgow) (last update: 8/6/02)
• POLYA028: A functional equation (proposed by Stephen C. Locke; last update: 3/4/02)
• POLYA027: Probability of winning a solitaire card game (proposed by Antreas P. Hatzipolakis; last update: 3/1/02)
• POLYA026: Common chord of circles (proposed by Antreas P. Hatzipolakis; last update: 2/7/02)
• POLYA025: Maximum sum of arithmetic progressions (proposed by Paul Yiu; last update: 1/11/02)
• POLYA024:  Long descent to zero (proposed by Li Zhou; last update: 3/22/02)
• POLYA023: Relation on graphs from games (proposed by Stephen C. Locke; last update: 1/5/02)
• POLYA022: Triangle centers constructible from O, H, I  (proposed by Paul Yiu; last update: 12/6/02)
• POLYA021: Adding lots of Egyptian fractions  (proposed by Len M. Smiley; last update: 12/7/01)
• POLYA020: Chomp (proposed by Stephen C. Locke; last update: 12/6/01)
• POLYA019: Plane sets containing reflections of  points in lines (proposed by Jean-Pierre Ehrmann; last update: 12/5/01)
• POLYA018: 2001 William Putnam Lowell Mathematical Competition B-Problems (last update: 12/7/01)
• POLYA017: 2001 William Putnam Lowell Mathematical Competition A-Problems (last update: 12/4/01)
• POLYA016: Iteration of sums of Fibonacci divisors (proposed by Antreas P. Hatzipolakis; last update: 12/1/01)
• POLYA015: Circle tangent to an ellipse contained in a rectangle (proposed by Paul Yiu; last update: 11/29/01)
• POLYA014: Square as a sum of two factorials (proposed by Lev Emelyanov; last update: 11/26/01)
• POLYA013: Length of non-periodic part of decimal expansion of 1/N (proposed by Luis Lopes; last update: 11/21/01)
• POLYA012: The Feuerbach point is the perspector  (proposed by Tatiana Emelyanova; last update: 11/20/01)
• POLYA011: Points on a conic (proposed by Jean-Pierre Ehrmann; last update: 11/20/01)
• POLYA010: Integers of the form bc/a + ca/b + ab/c (proposed by Floor van Lamoen; last update: 11/16/01)
• POLYA009: 3 by 3 magic square with distinct square entries (proposed by Lev Emelyanov; last update: 2/22/02)
• POLYA008: First n for which m^n < n! (proposed by Floor van Lamoen; last update: 12/27/01)
• POLYA007: Amount that cannot be paid in bills of m and n dollars (proposed by Luis Lopes; last update: 12/3/01)
• POLYA006: Construction of triangle ABC with given A, a, and sum of altitudes (proposed by Antreas P. Hatzipolakis; last update:11/20/01)
• POLYA005: Traces 1,2,3,...  (proposed by Stephen C. Locke; 11/30/01)
• POLYA004: Functions with smooth square and cube (proposed by Xiaodong Zhang; last update: 11/27/01)
• POLYA003: Integers of the form a/(bc) + b/(ca) + c/(ab) (proposed by Jean-Pierre Ehrmann; last update: 11/15/01)
• POLYA002: Integer pairs (x,y) for which (x^2+y^2)/(1+pxy) is an integer (proposed by Jean-Pierre Ehrmann; last update: 12/3/01)
• POLYA001: Degree n Polynomial P(x) with x^(n+1)P(x)-1 divisible by (x-1)^(n+1) (proposed by Paul Yiu; last update: 11/9/01)