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.