The "Factory" operates by gradually increasing difficulty, moving from basic arithmetic to complex logical-mathematical reasoning. The problems often use real-world scenarios to ground the math:

Level 6 problems are designed to be difficult. They are engineered to induce a state of "cognitive disequilibrium"—that uncomfortable feeling when you don't know the answer immediately. By guiding the student through this frustration without holding their hand, the book teaches . It forces the student to ask: