<p>Large language models (LLMs), in recent times, have improved their problem-solving abilities, being able to solve complex mathematical problems with significant accuracies. Chain-of-thought reasoning is an innovative mechanism that allows LLMs to break down larger, complex problems into multiple sub-problems and into structured reasoning steps. This research introduces <span>IMO-CoT</span>, a novel, selective, information-rich benchmark derived from International Mathematics Olympiad (IMO) problems, designed to evaluate CoT reasoning capabilities in LLMs. Unlike existing reasoning datasets, <span>IMO-CoT</span> presents problems across <i>Number Theory</i>, <i>Algebra</i>, <i>Combinatorics</i>, and <i>Geometry</i>, each requiring multi-step reasoning with higher complexity than the other benchmarks. We have evaluated a diverse set of “<i>proprietary</i>” (closed) and “<i>open</i>” LLMs on two tasks—Direct Answering and Reasoning Continuation. It was observed experimentally that even the best of the LLMs were able to achieve only 9.22% accuracy (in the 2nd pass) for the direct answering task, and for reasoning continuation, the <Emphasis FontCategory="NonProportional">BLEU</Emphasis> and <Emphasis FontCategory="NonProportional">ROUGE-L</Emphasis> scores were only 0.1357, and 0.1842, respectively, with <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="MediaObjects/42044_2026_404_Figa_HTML.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="120" Type="Linedraw" Width="66" /> </InlineMediaObject> models (avg. acc. 6.65%) outperforming <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="MediaObjects/42044_2026_404_Figb_HTML.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="120" Type="Linedraw" Width="32" /> </InlineMediaObject> variants (avg. acc. 4.29%). Both the tasks exhibited a strong positive correlation (coefficient of 0.891) in terms of their evaluation metrics, which indicates that those models performing better on direct answering tasks than others perform better at reasoning continuation.</p>

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IMO-CoT: a benchmark from International Mathematics Olympiads for evaluating chain-of-thought reasoning in large language models

  • Anurag Dutta,
  • A. Ramamoorthy,
  • M. Gayathri Lakshmi,
  • Pijush Kanti Kumar

摘要

Large language models (LLMs), in recent times, have improved their problem-solving abilities, being able to solve complex mathematical problems with significant accuracies. Chain-of-thought reasoning is an innovative mechanism that allows LLMs to break down larger, complex problems into multiple sub-problems and into structured reasoning steps. This research introduces IMO-CoT, a novel, selective, information-rich benchmark derived from International Mathematics Olympiad (IMO) problems, designed to evaluate CoT reasoning capabilities in LLMs. Unlike existing reasoning datasets, IMO-CoT presents problems across Number Theory, Algebra, Combinatorics, and Geometry, each requiring multi-step reasoning with higher complexity than the other benchmarks. We have evaluated a diverse set of “proprietary” (closed) and “open” LLMs on two tasks—Direct Answering and Reasoning Continuation. It was observed experimentally that even the best of the LLMs were able to achieve only 9.22% accuracy (in the 2nd pass) for the direct answering task, and for reasoning continuation, the BLEU and ROUGE-L scores were only 0.1357, and 0.1842, respectively, with models (avg. acc. 6.65%) outperforming variants (avg. acc. 4.29%). Both the tasks exhibited a strong positive correlation (coefficient of 0.891) in terms of their evaluation metrics, which indicates that those models performing better on direct answering tasks than others perform better at reasoning continuation.