To facilitate the treatment of the expressions from the theory of angular momentum and the atomic shell model, we have developed the RACAH program during the past years. Today it is the most developed tool for symbolic manipulation of expressions in atomic physics. The RACAH program is not only able to provide the standard quantities from the atomic shell theory, but it also supports the symbolic manipulations and the numerical computations of the expressions from the angular momentum theory. The latest progress in extending the program for complex atoms with several open shells is reported and its application for newly developed expressions of the hyperfine structure is demonstrated.