Big-Math: A Large-Scale, High-Quality Math Dataset for Reinforcement Learning in Language Models

Fuente: arXiv
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Auteurs principaux: Albalak, Alon, Phung, Duy, Lile, Nathan, Rafailov, Rafael, Gandhi, Kanishk, Castricato, Louis, Singh, Anikait, Blagden, Chase, Xiang, Violet, Mahan, Dakota, Haber, Nick
Format: Preprint
Publié: 2025
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author Albalak, Alon
Phung, Duy
Lile, Nathan
Rafailov, Rafael
Gandhi, Kanishk
Castricato, Louis
Singh, Anikait
Blagden, Chase
Xiang, Violet
Mahan, Dakota
Haber, Nick
author_facet Albalak, Alon
Phung, Duy
Lile, Nathan
Rafailov, Rafael
Gandhi, Kanishk
Castricato, Louis
Singh, Anikait
Blagden, Chase
Xiang, Violet
Mahan, Dakota
Haber, Nick
contents Increasing interest in reasoning models has led math to become a prominent testing ground for algorithmic and methodological improvements. However, existing open math datasets either contain a small collection of high-quality, human-written problems or a large corpus of machine-generated problems of uncertain quality, forcing researchers to choose between quality and quantity. In this work, we present Big-Math, a dataset of over 250,000 high-quality math questions with verifiable answers, purposefully made for reinforcement learning (RL). To create Big-Math, we rigorously filter, clean, and curate openly available datasets, extracting questions that satisfy our three desiderata: (1) problems with uniquely verifiable solutions, (2) problems that are open-ended, (3) and problems with a closed-form solution. To ensure the quality of Big-Math, we manually verify each step in our filtering process. Based on the findings from our filtering process, we introduce 47,000 new questions with verified answers, Big-Math-Reformulated: closed-ended questions (i.e. multiple choice questions) that have been reformulated as open-ended questions through a systematic reformulation algorithm. Compared to the most commonly used existing open-source datasets for math reasoning, GSM8k and MATH, Big-Math is an order of magnitude larger, while our rigorous filtering ensures that we maintain the questions most suitable for RL. We also provide a rigorous analysis of the dataset, finding that Big-Math contains a high degree of diversity across problem domains, and incorporates a wide range of problem difficulties, enabling a wide range of downstream uses for models of varying capabilities and training requirements. By bridging the gap between data quality and quantity, Big-Math establish a robust foundation for advancing reasoning in LLMs.
format Preprint
id arxiv_https___arxiv_org_abs_2502_17387
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Big-Math: A Large-Scale, High-Quality Math Dataset for Reinforcement Learning in Language Models
Albalak, Alon
Phung, Duy
Lile, Nathan
Rafailov, Rafael
Gandhi, Kanishk
Castricato, Louis
Singh, Anikait
Blagden, Chase
Xiang, Violet
Mahan, Dakota
Haber, Nick
Machine Learning
Artificial Intelligence
Computation and Language
Increasing interest in reasoning models has led math to become a prominent testing ground for algorithmic and methodological improvements. However, existing open math datasets either contain a small collection of high-quality, human-written problems or a large corpus of machine-generated problems of uncertain quality, forcing researchers to choose between quality and quantity. In this work, we present Big-Math, a dataset of over 250,000 high-quality math questions with verifiable answers, purposefully made for reinforcement learning (RL). To create Big-Math, we rigorously filter, clean, and curate openly available datasets, extracting questions that satisfy our three desiderata: (1) problems with uniquely verifiable solutions, (2) problems that are open-ended, (3) and problems with a closed-form solution. To ensure the quality of Big-Math, we manually verify each step in our filtering process. Based on the findings from our filtering process, we introduce 47,000 new questions with verified answers, Big-Math-Reformulated: closed-ended questions (i.e. multiple choice questions) that have been reformulated as open-ended questions through a systematic reformulation algorithm. Compared to the most commonly used existing open-source datasets for math reasoning, GSM8k and MATH, Big-Math is an order of magnitude larger, while our rigorous filtering ensures that we maintain the questions most suitable for RL. We also provide a rigorous analysis of the dataset, finding that Big-Math contains a high degree of diversity across problem domains, and incorporates a wide range of problem difficulties, enabling a wide range of downstream uses for models of varying capabilities and training requirements. By bridging the gap between data quality and quantity, Big-Math establish a robust foundation for advancing reasoning in LLMs.
title Big-Math: A Large-Scale, High-Quality Math Dataset for Reinforcement Learning in Language Models
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2502.17387