CLApr 25, 2025

PolyMath: Evaluating Mathematical Reasoning in Multilingual Contexts

arXiv:2504.18428v445 citationsh-index: 23
Originality Synthesis-oriented
AI Analysis

This work addresses the problem of evaluating and improving multilingual mathematical reasoning in LLMs, which is incremental as it builds on existing benchmarking efforts.

The authors introduced PolyMath, a multilingual mathematical reasoning benchmark covering 18 languages and 4 difficulty levels, and found that advanced LLMs like Qwen-3-235B-A22B-Thinking and Gemini-2.5-pro achieved only 54.6 and 52.2 benchmark scores, with about 40% accuracy at the highest difficulty level.

In this paper, we introduce PolyMath, a multilingual mathematical reasoning benchmark covering 18 languages and 4 easy-to-hard difficulty levels. Our benchmark ensures difficulty comprehensiveness, language diversity, and high-quality translation, making it a highly discriminative multilingual mathematical benchmark in the era of reasoning LLMs. We conduct a comprehensive evaluation for advanced LLMs and find that even Qwen-3-235B-A22B-Thinking and Gemini-2.5-pro, achieve only 54.6 and 52.2 benchmark scores, with about 40% accuracy under the highest level From a language perspective, our benchmark reveals several key challenges of LLMs in multilingual reasoning: (1) Reasoning performance varies widely across languages for current LLMs; (2) Input-output language consistency is low in reasoning LLMs and may be correlated with performance; (3) The thinking length differs significantly by language for current LLMs. Additionally, we demonstrate that controlling the output language in the instructions has the potential to affect reasoning performance, especially for some low-resource languages, suggesting a promising direction for improving multilingual capabilities in LLMs.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

Your Notes