---
title: "Mathematical Reasoning"
category: 02-reasoning
level: intermediate
stability: stable
description: "Apply mathematical reasoning in AI agent workflows."
added: "2025-03"
---

![Dependency Status](https://img.shields.io/endpoint?url=https://samotech.github.io/skills-tree/badges/skills-02-reasoning-mathematical-reasoning.json)

# Mathematical Reasoning

**Category:** `reasoning`  
**Skill Level:** `intermediate`  
**Stability:** `stable`
**Added:** 2025-03

### Description

Solve mathematical problems step-by-step — arithmetic, algebra, calculus, statistics, and logic puzzles.

### Example

```
Q: If a train travels 120km in 1.5 hours, what is its speed in m/s?
Step 1: Speed = 120km / 1.5h = 80 km/h
Step 2: Convert: 80 * 1000 / 3600 = 22.22 m/s
Answer: ≈ 22.22 m/s
```

### Frameworks

- Chain of Thought prompting
- Wolfram Alpha tool
- Python `sympy`, `math` via code execution
- OpenAI o3 / o4-mini (native math reasoning)

### Related Skills

- [Chain of Thought](chain-of-thought.md)
- [Calculator](../07-tool-use/calculator.md)
