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MATH-500

As explained in Build a Reasoning Model (From Scratch)

A curated benchmark dataset of 500 math problems sampled from the original MATH dataset for evaluating reasoning models.

MATH-500 is a curated evaluation set of 500 problems sampled from the original MATH dataset. It supplies a practical, repeatable workload for testing reasoning models without the cost of running the full dataset. section 3.8

Use MATH-500 when evaluation needs:

  • A meaningful but manageable benchmark for repeated experiments. section 3.8
  • A held-out reference set separated from a later training subset. section 3.8
  • Challenging multistep problems suited to symbolic verification rather than simpler datasets such as GSM8K. section 3.8

Loading and grading the set

Load the test split from a reproducible local JSON copy or from the Hugging Face Hub. Each record includes a problem, solution, answer, and level; the complete split contains 500 entries. Apply answer extraction, normalization, and SymPy-based equivalence checking before grading model predictions. section 3.8 section 3.10

Figure 3.9 Loading the evaluation dataset. We completed steps 2-6 (generate, extract, normalize, verify, and grade answers) in the previous sections; the two remaining steps are to load the full dataset (step 7) and apply the same procedure across all the problems to evaluate the model (step 8).

Trace MATH-500’s position in the evaluation workflow: load the dataset, run generation and verification across every problem, then calculate model performance. section 3.8

How Build a Reasoning Model (From Scratch) covers it

How deep it goes
Defines the dataset, loading options, record structure, and role in verification, while deferring individual problem analysis.
Examples
Uses 500 multistep math problems containing answers, solutions, levels, and prompts such as rectangular-to-polar coordinate conversion.
What you can do after
Evaluate reasoning models by applying extraction, normalization, symbolic verification, and grading across a fixed test set.
How it connects
Connects reasoning models with the MATH dataset, SymPy, mathematical equivalence checking, and verification pipelines.

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Build a Reasoning Model (From Scratch). The section links point to the parts of the book it draws on.