This document is the second of three sections of a final report on computer-controlled photocomposition of the periodical Mathematics Reviews. In studying the uses of computer-processed tape for composition, it became evident that economic feasibility is dependent, to a great extent, on multiple use of the input data. Therefore the design of a system for mathematical composition must include setting up a master file of material which can be used for information retrieval, as well as for typesetting of original material, plus by-products such as the typesetting of indexes, current awareness journals, and abstracts. This section of the report deals with the setting of complex mathematical material. It gives examples of a keyboard input language which can be used for the inputting of any mathematical text, and a language suitable for file storage and computer input. It also describes the type of programs needed for solving completely the composition problem. (Author/JW)