Markush claims are widely used in chemical patents to define large chemical spaces, however understanding these structures, their formalized representation, search and analysis is complex and poorly supported. The problem becomes more acute with the need for comparison of these potentially vast patent Markush structures with classic structure and combinatorial virtual libraries. At this time, all of the existing Markush representations are incomplete, search systems are proprietary and not available for in-house integration and with many key use cases there are no existing tools and often no algorithmic background to begin the solve. This presentation briefly summarizes the current state of Markush claims, the existing challenges from the perspective of both IP professionals and computational chemists and highlights some promising new developments directly relevant to today's discovery processes.