This paper describes the current status of a project for multithreading algebraic
computations, which aims at the utilization of today's high-spec PCs with hyperthreading or
dual-core technologies. Our effort is done by applying OpenXM with minimal cost of
development, and includes memory management in multithreaded environment. Our
empirical results show that the performance gain can be attained in numeric cases and in
some cases of purely symbolic computations.