Complex sentence: The Republic of China (Taiwan) participates in the games by the name of Chinese Taipei by the FISU and the majority of international organizations it participates in due to political considerations and complicated relations with the People's Republic of China.
Split into simpler sentences: The Republic of China (Taiwan) participates in the games and is recognised by the name of Chinese Taipei by the FISU and the majority of international organizations it participates in. This is due to political considerations and agreements with the People's Republic of China.