math-olympiad

Solve IMO, Putnam, USAMO, and AIME problems with adversarial verification.

19|3|Updated May 17, 2026
One-click install
npx skills add https://github.com/cline/skills --skill math-olympiad-cline
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: math-olympiad
Source: https://github.com/cline/skills/tree/main/skills/math-olympiad
Command: npx skills add https://github.com/cline/skills --skill math-olympiad-cline

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill solves high-level competition mathematics problems from the IMO, Putnam, USAMO, and AIME, with adversarial verification that catches subtle errors missed by self-verification, and calibrated confidence that avoids bluffing when no confident solution exists.

Core Features & Use Cases

  • Adversarial Proof Verification: Uses 12 specific failure pattern checks instead of generic logic review to catch hidden gaps in proofs, with dual context isolation to avoid bias from solver thinking traces.
  • Calibrated Confidence: Admits when no confident solution exists rather than outputting a wrong answer, with partial progress notes for unsolved problems.
  • Verified Proof Presentation: Compiles verified correct proofs into clean, readable LaTeX documents, with optional PDF compilation if a LaTeX compiler is available.
  • Use Case: If you are preparing for a math competition or need to verify the correctness of an olympiad-style proof, this Skill runs multiple parallel solver attempts, adversarially verifies the outputs, and returns a rigorously checked solution or an honest abstention.

Quick Start

Use the math-olympiad skill to solve the attached IMO 2024 Problem 3 and output a verified LaTeX proof if a confident solution exists.

Frequently Asked Questions about math-olympiad

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I verify olympiad math proofs for hidden logical gaps?

Olympiad math proof verification uses 12 specific failure pattern checks with dual context isolation to catch hidden logical gaps missed by standard self-verification. It adversarially checks solutions across inequality, number theory, combinatorics, and geometry problems.

Can AI solve IMO competition math problems with verified proofs?

Yes, AI can solve IMO competition math problems by running multiple parallel solver attempts followed by adversarial verification. It returns a rigorously checked solution or an honest abstention if no confident solution exists.

What is the best way to generate counterexamples for competition math solutions?

The best way to generate counterexamples for competition math solutions is using pattern-specific adversarial checks. This Skill applies asymmetric voting and calibrated abstention to ensure high conditional accuracy when testing olympiad-style problem outputs.

Does this math problem solver output LaTeX documents for verified proofs?

Yes, this math problem solver compiles verified correct proofs into clean, readable LaTeX documents. Optional PDF compilation is also available if a LaTeX compiler is installed in your environment.

How does calibrated confidence handle unsolved math olympiad problems?

Calibrated confidence handles unsolved math olympiad problems by admitting when no confident solution exists rather than outputting a wrong answer. It provides partial progress notes for unsolved problems to avoid bluffing.

What types of competition math problems does this solver support?

This solver supports competition math problems from the IMO, Putnam, USAMO, and AIME. It handles olympiad-style inequality, number theory, combinatorics, and geometry problems with rigorous adversarial verification.