Can you show examples of chain-of-thought reasoning for mathematical problem solving?
Basic mathematical chain-of-thought prompt: "Solve this problem step-by-step: A store offers 25% off an item, then applies an additional 10% coupon. If the original price is $80, what's the final price? Show: 1) First discount calculation, 2) Price after first discount, 3) Second discount calculation, 4) Final price."
Why this structure works: By numbering required steps, you create a mandatory reasoning pathway. GPT-5.2 cannot skip to the answer—it must show intermediate calculations. This reduces computational errors from 30-40% down to under 5% for multi-step math problems according to user testing.
Advanced multi-variable example: "Analyze this optimization problem using chain-of-thought: <problem>A company must allocate budget across 3 projects with different ROI rates and risk levels</problem> <steps>1. Calculate expected value for each project, 2. Assess risk-adjusted returns, 3. Identify optimal allocation under $500K constraint, 4. Justify recommendation</steps> <format>Show all calculations and reasoning</format>"
Platform integration: When working through mathematical problem sets, Aimensa's unified dashboard lets you run chain-of-thought prompts across GPT-5.2 while simultaneously using other specialized models for verification, creating a comprehensive problem-solving workflow in one interface.