math-logic-reasoning

Solve mathematical and logical problems with structured, verifiable step-by-step reasoning.

1|Updated Feb 26, 2026

Search Tags:#problem-solving #reasoning #logic #math #proof #puzzles #deduction

Ready to run

npx skills add https://github.com/ahoynodnarb/reasoning-based-skills --skill math-logic-reasoning

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: math-logic-reasoning
Source: https://github.com/ahoynodnarb/reasoning-based-skills/tree/main/math-logic-reasoning
Command: npx skills add https://github.com/ahoynodnarb/reasoning-based-skills --skill math-logic-reasoning

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This skill guides the user through problems that demand exact mathematical reasoning and formal deduction, ensuring every step is recorded and verified to avoid missing crucial details.

Core Features & Use Cases

Step-by-step reasoning: never skip intermediate steps; document each manipulation and justification.
Problem framing & validation: clearly state unknowns, constraints, and what counts as a valid solution before solving.
Verification & correctness: substitute results back into equations or check edge cases to confirm validity.
Broad applicability: handles algebra, number theory, combinatorics, geometry, olympiad-style problems, and multi-step proofs.

Quick Start

Input a math or logic problem and request a full, verifiable step-by-step solution.

Frequently Asked Questions about math-logic-reasoning

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

FAQPage Schema

How do I solve math problems with step-by-step reasoning and verification?▼

Step-by-step mathematical reasoning solves problems by explicitly framing unknowns and constraints, documenting every nontrivial manipulation, and verifying the final answer by substitution back into the original equations.

What is the best way to structure formal proofs for olympiad problems?▼

Formal proofs for olympiad problems are best structured by stating the problem frame, recording every logical deduction without skipping intermediate steps, and performing edge-case checks to confirm the proof's validity.

Can I use this to find solutions for combinatorics and number theory puzzles?▼

Yes, you can solve combinatorics and number theory puzzles by inputting the problem to receive structured, verifiable solutions that include complete intermediate steps and final result validation.

How does mathematical deduction handle multi-step word puzzles without missing details?▼

Mathematical deduction handles multi-step word puzzles by breaking down the problem understanding phase, explicitly documenting each algebraic or logical manipulation, and verifying results before reaching a concise conclusion.

Does this approach work for algebra and geometry proofs?▼

Yes, this approach works for algebra and geometry proofs by applying rigorous step-by-step reasoning, ensuring every transformation is justified and the final geometric or algebraic result is checked for correctness.