1. Let's clarify the problem you want to solve without a calculator. Please provide the exact math problem or expression you want to solve manually. 2. Generally, solving math problems without a calculator involves using algebraic manipulation, simplification, factoring, and known formulas. 3. For example, if you want to solve an equation like $x^2 - 5x + 6 = 0$ without a calculator, you can factor it as $(x-2)(x-3) = 0$ and then find the roots $x=2$ or $x=3$. 4. If you provide the specific problem, I can guide you step-by-step on how to solve it manually. Please share the exact problem for detailed steps.