FORM version 3 introduces numerous new features inspired by current developments in quantum field theory computations. It is faster than SCHOONSCHIP and more memory-efficient, especially for large expressions. The program is fully portable and can run on high-performance computers. It includes a variety of general-purpose packages and new features such as dynamic variable administration, enhanced preprocessor variables, and improved table manipulations. The program also supports parallel processing, allowing it to run on multiple processors, significantly speeding up calculations. The new version includes features like $-variables, symmetry properties, and advanced term and bracket indexing. It also provides better error messages and a more flexible and efficient way to handle algebraic expressions. The program is now freely available, with executables for various platforms and a comprehensive manual. The distribution includes several packages, such as 'summer', 'harmpol', 'meltran', 'color', and 'mincer', which are useful for various scientific computations. The packages provide tools for harmonic sums, harmonic polylogarithms, Mellin transforms, and group invariants. The program is widely used in particle physics and has been improved to handle complex calculations efficiently.FORM version 3 introduces numerous new features inspired by current developments in quantum field theory computations. It is faster than SCHOONSCHIP and more memory-efficient, especially for large expressions. The program is fully portable and can run on high-performance computers. It includes a variety of general-purpose packages and new features such as dynamic variable administration, enhanced preprocessor variables, and improved table manipulations. The program also supports parallel processing, allowing it to run on multiple processors, significantly speeding up calculations. The new version includes features like $-variables, symmetry properties, and advanced term and bracket indexing. It also provides better error messages and a more flexible and efficient way to handle algebraic expressions. The program is now freely available, with executables for various platforms and a comprehensive manual. The distribution includes several packages, such as 'summer', 'harmpol', 'meltran', 'color', and 'mincer', which are useful for various scientific computations. The packages provide tools for harmonic sums, harmonic polylogarithms, Mellin transforms, and group invariants. The program is widely used in particle physics and has been improved to handle complex calculations efficiently.