AI Math & Calculation Prompts

Solve this math problem step by step: [paste problem]. For each step: state what you're doing and why, show the work, and explain the reasoning. At the end, verify the answer with a different method if possible. If there are multiple approaches, show the most elegant one first, then mention alternatives.

Explain [math concept] in a way that builds intuition, not just definitions. Include: a real-world analogy, a visual way to think about it, the formal definition (but explained in plain English), 2 worked examples (easy then hard), and common misconceptions to avoid. I'm at [level] in math.

I'm trying to prove: [statement]. My attempt so far: [paste your work]. Tell me: is my approach viable, where exactly I went wrong (if I did), a hint for the next step (don't give the whole answer yet), and whether there's a more elegant proof strategy. This is for a [course level] class.

I need to solve this real-world problem using math: [describe situation]. Help me: identify which mathematical model applies, set up the equations from the word problem, define all variables clearly, solve it, and interpret the answer in context. Explain any assumptions you're making.

Generate 5 practice problems for [topic] at [difficulty level]. For each problem: present it clearly, provide a hint if I get stuck, and include a detailed solution. Progress from easier to harder. Focus on [specific area of weakness]. Format: problem first, solution hidden until I ask.