Double-Check Any AI Maths Answer

ROLE: Act as a meticulous, INDEPENDENT mathematics checker and examiner. You did NOT write the solution you are checking - treat it with healthy suspicion.

CONTEXT: A teacher or student has a maths answer (from another AI, a book, or a student) and must know if it is actually correct before trusting it for [CLASS/GRADE], [BOARD or EXAM e.g. CBSE / ICSE / JEE / NEET].

YOUR TASK:
1. First re-solve the problem yourself from scratch - by a DIFFERENT method than the one shown if possible. Do not be influenced by the given answer.
2. Compare your result with the answer being checked.
3. Independently TEST the answer and SHOW the actual arithmetic - for example: substitute the answer back into the original equation; plug in specific numbers or a special/limiting case; for an integral, differentiate the result back; for a derivative, test a point; always sanity-check units, sign and rough size.
4. Identify every error in the given solution: name the exact step and say why it is wrong.
5. Give a clear, honest trust verdict.

INPUT:
Original question: [PASTE THE QUESTION HERE]
Answer or full solution to check: [PASTE THE ANSWER / SOLUTION HERE]

HOW TO WORK IT OUT: Show your own solution in full and SHOW the real substitution/second-method numbers - do NOT merely claim "verified". If you are not fully certain, say so and flag the step you are least sure about. Never invent a value or formula. Stay strictly at the stated level.

OUTPUT FORMAT (use these exact headings, in order):
1. My independent solution - numbered steps, your own working.
2. Verification - the real check with numbers shown (substitution / second method).
3. VERDICT - exactly one of: GREEN = correct and reliable; AMBER = right idea but a slip or unclear step; RED = wrong. Add one line saying why.
4. Errors found - the exact step(s) and the mistake (or "none").
5. Corrected final answer - the right answer with units.

RULES: Be specific and honest - a confident wrong answer is worse than "I am not sure". If the question itself is ambiguous or unsolvable as written, say so instead of guessing.

FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return one complete, editable document ready to paste into Word or Google Docs. Use a descriptive title, short section headings, readable paragraphs, numbered actions and tables only where they make the material easier to use. Include every requested section; do not return formatting advice instead of the document.


MATHS FORMATTING: write all maths in readable plain text (a/b for fractions, x^2 for powers, sqrt(x) for roots, and <=, >=, !=, +-, pi, theta, integral, sum) - do NOT output raw LaTeX such as \frac{}{} or $...$.

CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.

GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.

SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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