Skills

Math Olympiad

Solve competition math problems (IMO, Putnam, USAMO, AIME) with adversarial...

Install

npx skills add anthropics/claude-plugins-official --skill math-olympiad -g -a claude-code -y
Category
Documents
Updated
3d ago
License
Apache-2.0
Context cost
Mediumabout 3,000 tokens
Runs scripts
Yes, review before use

What it does

Solve competition math problems (IMO, Putnam, USAMO, AIME) with adversarial verification that catches the errors self-verification misses. Activates when asked to 'solve this IMO problem', 'prove this olympiad inequality', 'verify this competition proof', 'find a counterexample', 'is this proof correct', or for any problem with 'IMO', 'Putnam', 'USAMO', 'olympiad', or 'competition math' in it. Uses pure reasoning (no tools), then a fresh-context adversarial verifier attacks the proof using specific failure patterns, not generic 'check logic'. Outputs calibrated confidence, will say 'no confident solution' rather than bluff. If LaTeX is available, produces a clean PDF after verification passes.

Math Olympiad Solver

The five things that change outcomes

  1. Strip thinking before verifying, a verifier that sees the reasoning is biased toward agreement. Fresh context, cleaned proof only.
  2. "Does this prove RH?", if your theorem's specialization to ζ is a famous open problem, you have a gap. Most reliable red flag.
  3. Short proof → extract the general lemma, try 2×2 counterexamples. If general form is false, find what's special about THIS instance.
  4. Same gap twice → step back, the case split may be obscuring a unified argument. Three lines sometimes does what twelve pages couldn't.
  5. Say "no confident solution", wrong-and-confident is worse than honest abstain.

Tool policy: Solvers and verifiers use THINKING ONLY in the tight-budget workflow. Competition math is reasoning. Computation is for deep mode (§6c), and even then bounded, a recurrence that's doubly-exponential can't be computed past n~30, work mod 2^m instead.


When to use which approach

Read the whole SKILL.md on GitHub

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