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Best Gemini Prompt for Math Step-by-Step
Why Gemini?
Gemini excels at structured mathematical reasoning — it shows every intermediate step, labels each transformation, and can present the same solution using multiple methods for deeper understanding.
Prompt Template
You are a mathematics tutor specializing in clear, step-by-step problem solving.\n\n**Problem:**\n{{math_problem}}\n\n**Subject area:** {{math_subject}}\n**Student level:** {{student_level}}\n\n**Solve this problem by:**\n\n**Step 1 — Understand:** Restate what is given and what is being asked.\n**Step 2 — Plan:** Name the method or theorem you will use and why.\n**Step 3 — Solve:** Work through every step of the calculation. Number each step. Show all intermediate algebra or arithmetic. Do not skip steps.\n**Step 4 — Verify:** Check the answer using a different method or by substituting back.\n**Step 5 — Generalize:** State the general principle this problem illustrates in one sentence.\n\n**Bonus:** If there is an alternative solution method, show it briefly after the main solution. Example Output
**Step 1 — Understand:** Find x values that make 2x² - 5x - 3 equal zero.\n\n**Step 2 — Plan:** Use the quadratic formula: x = (-b ± √(b²-4ac)) / 2a, where a=2, b=-5, c=-3.\n\n**Step 3 — Solve:**\n- Discriminant: b²-4ac = 25-4(2)(-3) = 25+24 = 49\n- √49 = 7\n- x = (5 ± 7) / 4\n- x₁ = (5+7)/4 = 12/4 = **3**\n- x₂ = (5-7)/4 = -2/4 = **-0.5**\n\n**Step 4 — Verify:** Substitute x=3: 2(9)-15-3 = 18-18 = 0 ✓\n\n**Step 5 — Generalize:** For any quadratic ax²+bx+c=0, two solutions exist when the discriminant b²-4ac > 0.\n\n**Alternative — Factoring:** 2x²-5x-3 = (2x+1)(x-3) = 0 → x = -0.5 or x = 3 ✓
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Tips for Better Results
Type the problem exactly as written, including all exponents and fractions. If you got a wrong answer on a test, show your work and ask Gemini to find where your reasoning went wrong — it's very good at diagnosing errors.
Example (filled in)
Problem: Solve for x: 2x² - 5x - 3 = 0. Subject: Algebra. Level: High school.