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---
license: cc
task_categories:
- text-generation
tags:
- mathematica
- textgen
- synthetic
pretty_name: HALF
size_categories:
- 10M<n<100M
---
### HALF Mathematic Database
### grow...
| **Feature** | **HALF** | **GSM8K** | **MATH** |
| -------------------- | ---------------------------------------------- | -------------------------------------- | -------------------------------------- |
| **Primary Focus** | Pre-training / Synthetic Symbolic Pre-training | Grade school math word problems | Competition-level mathematics |
| **Dataset Size** | **~53.9 Million examples** (4 shards) | ~8.5K examples (7.5K train / 1K test) | 12.5K examples (7.5K train / 5K test) |
| **Format** | Single-line LaTeX equations (`A \implies B`) | Natural language word problems | LaTeX & step-by-step reasoning proofs |
| **Natural Language** | **None** (pure LaTeX math expressions) | High (English narrative word problems) | High (English proofs + LaTeX notation) |
| **Data Generation** | Programmatically generated / Synthetic | Human-written / Human-verified | Human-compiled (AMC, AIME, HMMT) |
| **Target Task** | Symbolic identity training, syntax alignment | Multi-step arithmetic reasoning | Deep conceptual problem-solving |