How Well Does Mathematical Reasoning Transfer Across Languages in English-Centric LLMs?

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How Well Does Mathematical Reasoning Transfer Across Languages in English-Centric LLMs?

[Submitted on 2 Oct 2025 (v1), last revised 22 Oct 2026 (this version, v2)]

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Abstract:Recent advances in Reinforcement Post-Training (RPT) have substantially improved the mathematical reasoning capabilities of large language models (LLMs), but it remains unclear how well such gains transfer across languages. In this work, we study cross-lingual mathematical reasoning transfer in English-centric LLMs under controlled multilingual evaluation. We first evaluate a range of English-centric reasoning models on multilingual mathematical reasoning benchmarks and find that transfer is highly variable across initial model choice, target language, and training paradigm. Through controlled comparative experiments, we further find that stronger English-centric initialization does not necessarily lead to stronger relative transfer efficiency, even when it yields higher multilingual reasoning accuracy. Finally, we show that the largest improvement comes from moving beyond English-only supervision: adding a single parallel language yields a substantial gain, while further gains from additional languages are smaller but consistent. Overall, our results highlight the need to evaluate multilingual mathematical reasoning directly, using both absolute performance and relative transfer-efficiency metrics.

Submission history

From: Wen Yang [view email]
[v1] Thu, 2 Oct 2025 17:49:49 UTC (252 KB)
[v2] Thu, 22 Oct 2026 16:06:00 UTC (272 KB)