---
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         |