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