<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def dependencies_are_newer(self, files, dependencies):
 """ For two lists of files, check if any file in the second list is newer than any file of the first. """

        dependency_mtimes = [
            os.path.getmtime(filename) for filename in dependencies]
        file_mtimes = [os.path.getmtime(filename) for filename in files]
        result = False
        for file_mtime in file_mtimes:
            for dependency_mtime in dependency_mtimes:
                if dependency_mtime > file_mtime:
                    result = True
        return result