| --- |
| license: other |
| language: |
| - en |
| tags: |
| - synthetic |
| - math |
| --- |
| # Massive Step-by-Step Mathematics Instruction Dataset |
|
|
| ## Dataset Description |
|
|
| This is a 60GB, highly knowledge-dense dataset designed to teach Large Language Models (LLMs) rigorous mathematical reasoning. |
|
|
| Unlike standard math datasets that only provide the final answer, this dataset emphasizes **Chain-of-Thought (CoT)** reasoning. Every single row contains a detailed, step-by-step breakdown of how to arrive at the solution, making it ideal for supervised fine-tuning (SFT) to improve an LLM's logical reasoning capabilities. |
|
|
| ## Dataset Structure |
|
|
| The dataset is stored as a single CSV file (`math_dataset.csv`) and contains two columns: |
|
|
| - `prompt`: The mathematical question or instruction. |
| - `completion`: The step-by-step reasoning and final answer. |
|
|
| ## Mathematical Domains Covered |
|
|
| The dataset contains hundreds of millions of examples spanning 10 core mathematical disciplines: |
|
|
| 1. **Arithmetic**: Long division with rigorous verification (quotient and remainder proofs). |
| 2. **Algebra**: Quadratic equations utilizing the discriminant (handling both real and complex roots). |
| 3. **Calculus**: Indefinite integration using the power rule, and derivatives using the chain rule. |
| 4. **Linear Algebra**: 2x2 matrix multiplication with explicit dot-product calculations. |
| 5. **Geometry**: Pythagorean theorem calculations for right-angled triangles. |
| 6. **Fractions**: Addition of fractions requiring Least Common Multiple (LCM) calculation and simplification via Greatest Common Divisor (GCD). |
| 7. **Statistics**: Calculation of mean, population variance, and standard deviation. |
| 8. **Trigonometry**: Exact trigonometric values derived from the unit circle and special triangles. |
| 9. **Logarithms**: Evluation of logarithms by converting between logarithmic and exponential forms. |
|
|
| ## License |
| Open Data Attribution Training Disclosure License (ODATL‑1.0) |
