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Inequalities

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International Mathematical Olympiad 1978 Problem 5International Mathematical Olympiad 1978AlgebraInequalitiesSeqSums
International Mathematical Olympiad 1982 Problem 3International Mathematical Olympiad 1982InequalitiesOptimizationSeq
International Mathematical Olympiad 1983 Problem 6International Mathematical Olympiad 1983AlgebraInequalitiesTriangle
International Mathematical Olympiad 1984 Problem 1International Mathematical Olympiad 1984AlgebraInequalitiesOptimization
International Mathematical Olympiad 1984 Problem 5International Mathematical Olympiad 1984GeometryInequalitiesLengthsPolygon
International Mathematical Olympiad 1985 Problem 6International Mathematical Olympiad 1985AlgebraInequalitiesRecurrencesSeq
International Mathematical Olympiad 1987 Problem 3International Mathematical Olympiad 1987InequalitiesOptimization
International Mathematical Olympiad 1988 Problem 4International Mathematical Olympiad 1988AlgebraInequalitiesSums
International Mathematical Olympiad 1988 Problem 5International Mathematical Olympiad 1988AreaGeometryInequalitiesRight triangleTriangle
International Mathematical Olympiad 1989 Problem 3International Mathematical Olympiad 1989CollinearGeometryInequalitiesOptimization
International Mathematical Olympiad 1989 Problem 4International Mathematical Olympiad 1989GeometryInequalitiesOptimizationQuad
International Mathematical Olympiad 1991 Problem 1International Mathematical Olympiad 1991GeometryIncircleInequalitiesOptimizationTriangle
International Mathematical Olympiad 1991 Problem 5International Mathematical Olympiad 1991AnglesGeometryInequalitiesTriangle
International Mathematical Olympiad 1991 Problem 6International Mathematical Olympiad 1991AlgebraConstructionInequalitiesSeq
International Mathematical Olympiad 1992 Problem 5International Mathematical Olympiad 1992CoordInequalities3D
International Mathematical Olympiad 1993 Problem 4International Mathematical Olympiad 1993GeometryInequalitiesOptimizationTriangle
International Mathematical Olympiad 1994 Problem 1International Mathematical Olympiad 1994CombinatoricsInequalitiesOptimization
International Mathematical Olympiad 1995 Problem 2International Mathematical Olympiad 1995AlgebraInequalities
International Mathematical Olympiad 1995 Problem 5International Mathematical Olympiad 1995AnglesGeometryInequalitiesOptimizationPolygon
International Mathematical Olympiad 1996 Problem 5International Mathematical Olympiad 1996CircumcircleGeometryInequalitiesPolygon
International Mathematical Olympiad 1997 Problem 3International Mathematical Olympiad 1997AbsAlgebraInequalitiesPermutations
International Mathematical Olympiad 1997 Problem 6International Mathematical Olympiad 1997CombinatoricsCountingInequalitiesPowers
International Mathematical Olympiad 1998 Problem 2International Mathematical Olympiad 1998CombinatoricsInequalitiesOptimization
International Mathematical Olympiad 1999 Problem 2International Mathematical Olympiad 1999AlgebraInequalitiesOptimizationSums
International Mathematical Olympiad 2000 Problem 2International Mathematical Olympiad 2000AlgebraInequalitiesOptimization
International Mathematical Olympiad 2001 Problem 2International Mathematical Olympiad 2001AlgebraInequalitiesRadicals
International Mathematical Olympiad 2002 Problem 4International Mathematical Olympiad 2002DivisibilityInequalitiesNT
International Mathematical Olympiad 2002 Problem 6International Mathematical Olympiad 2002CircleGeometryInequalitiesOptimization
International Mathematical Olympiad 2003 Problem 5International Mathematical Olympiad 2003AlgebraInequalitiesSeq
International Mathematical Olympiad 2004 Problem 4International Mathematical Olympiad 2004AlgebraInequalitiesTriangle
International Mathematical Olympiad 2005 Problem 3International Mathematical Olympiad 2005AlgebraInequalities
International Mathematical Olympiad 2006 Problem 3International Mathematical Olympiad 2006AlgebraInequalitiesOptimization
International Mathematical Olympiad 2006 Problem 6International Mathematical Olympiad 2006AreaGeometryInequalitiesOptimizationPolygon
International Mathematical Olympiad 2007 Problem 1International Mathematical Olympiad 2007AlgebraInequalitiesOptimizationSeq
International Mathematical Olympiad 2008 Problem 2International Mathematical Olympiad 2008AlgebraInequalitiesOptimizationRational
International Mathematical Olympiad 2009 Problem 5International Mathematical Olympiad 2009AlgebraFunctionalInequalitiesTriangle
International Mathematical Olympiad 2010 Problem 6International Mathematical Olympiad 2010AlgebraInequalitiesOptimizationSeq
International Mathematical Olympiad 2011 Problem 3International Mathematical Olympiad 2011AlgebraFunctionalInequalities
International Mathematical Olympiad 2012 Problem 2International Mathematical Olympiad 2012AlgebraInequalitiesOptimization
International Mathematical Olympiad 2013 Problem 5International Mathematical Olympiad 2013AlgebraFunctionalInequalitiesRational
International Mathematical Olympiad 2014 Problem 1International Mathematical Olympiad 2014AlgebraInequalitiesSeq
International Mathematical Olympiad 2015 Problem 6International Mathematical Olympiad 2015InequalitiesNTSeqSums
International Mathematical Olympiad 2018 Problem 5International Mathematical Olympiad 2018InequalitiesNTSeq
International Mathematical Olympiad 2020 Problem 2International Mathematical Olympiad 2020AlgebraInequalitiesOptimization
International Mathematical Olympiad 2021 Problem 2International Mathematical Olympiad 2021AbsAlgebraInequalitiesRadicals
International Mathematical Olympiad 2022 Problem 2International Mathematical Olympiad 2022AlgebraFunctionalInequalities
International Mathematical Olympiad 2023 Problem 4International Mathematical Olympiad 2023AlgebraInequalitiesOptimization
International Mathematical Olympiad 2025 Problem 5International Mathematical Olympiad 2025GamesInequalitiesOptimization
Middle European Mathematical Olympiad 2009 Problem T-1Middle European Mathematical Olympiad 2009AlgebraInequalitiesOptimization
Middle European Mathematical Olympiad 2010 Problem T-2Middle European Mathematical Olympiad 2010AlgebraInequalitiesOptimization