MathHay: An Automated Benchmark for Long-Context Mathematical Reasoning in LLMs

Lei Wang, Shan Dong, Yuhui Xu, Hanze Dong, Yalu Wang, Amrita Saha, Ee-Peng Lim, Caiming Xiong, Doyen Sahoo

Keywords: Mathematical Reasoning, Large Language Models, Benchmark, Long-Context Modeling

TL;DR: We introduce MathHay, an automated benchmark designed to assess the long-context mathematical reasoning capabilities of LLMs.

Abstract: Recent large language models (LLMs) have demonstrated versatile capabilities in long-context scenarios. Although some recent benchmarks have been developed to evaluate the long-context capabilities of LLMs, there is a lack of benchmarks evaluating the mathematical reasoning abilities of LLMs over long contexts, which is crucial for LLMs' application in real-world scenarios. In this paper, we introduce MathHay, an automated benchmark designed to assess the long-context mathematical reasoning capabilities of LLMs. Unlike previous benchmarks like Needle in a Haystack, which focus primarily on information retrieval within long texts, MathHay demands models with both information-seeking and complex mathematical reasoning abilities. We conduct extensive experiments on MathHay to assess the long-context mathematical reasoning abilities of eight top-performing LLMs. Even the best-performing model, Gemini-1.5-Pro-002, still struggles with mathematical reasoning over long contexts, achieving only 51.26\% accuracy at 128K tokens. This highlights the significant room for improvement on the MathHay benchmark.

Primary Area: datasets and benchmarks

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Submission Number: 8817