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metadata
license: cc
task_categories:
  - text-generation
tags:
  - mathematica
  - textgen
  - synthetic
pretty_name: HALF
size_categories:
  - 10M<n<100M

HALF Mathematic Database

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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