HackerPapers

arXiv:2503.21934cs.CL

Proof or Bluff? Evaluating LLMs on 2025 USA Math Olympiad

Ivo Petrov, Jasper Dekoninck, Lyuben Baltadzhiev, Maria Drencheva, Kristian Minchev, Mislav Balunović, Nikola Jovanović, Martin Vechev

Abstract

Recent math benchmarks for large language models (LLMs) such as MathArena indicate that state-of-the-art reasoning models achieve impressive performance on mathematical competitions like AIME, with the leading model, Gemini-2.5-Pro, achieving scores comparable to top human competitors. However, these benchmarks evaluate models solely based on final numerical answers, neglecting rigorous reasoning and proof generation which are essential for real-world mathematical tasks. To address this, we introduce a comprehensive evaluation of full-solution reasoning for challenging mathematical problems. Using expert human annotators, we evaluated several state-of-the-art reasoning models on the six problems from the 2025 USAMO within hours of their release. Our results reveal that all tested models struggled significantly: only Gemini-2.5-Pro achieves a non-trivial score of 25%, while all other models achieve less than 5%. Through detailed analysis of reasoning traces, we identify the most common failure modes and find several unwanted artifacts arising from the optimization strategies employed during model training. Overall, our results suggest that current LLMs are inadequate for rigorous mathematical reasoning tasks, highlighting the need for substantial improvements in reasoning and proof generation capabilities.

arXiv comments
Journal reference
DOI
Subjects
cs.CLComputation and Language

On Hacker News

Linked by 5 identifiable commenters in 7 comments across 4 threads, from Apr 2025 to Jul 2025. Found in 11 HN submissions from Mar 2025 to Jul 2025. Open submission discussions.

Comments linking this paper, per year.

Discussed in comments4 threads

    • Based on the past history with frontier-math & AIME 2025 [1],[2] I would not trust announcements which cant be independently verified. I am excited to try it out though. Also, the performance of LLMs on imo 2025 was not even bronze [3]. Finally, this article shows that LLMs were…

      bwfan123View on HNParent context

    • on the surface this is a great achievement - if it holds . alpha-geometry required 1) human formalization of the question and 2) a solver for geometry If the questions were given as-is (without a human formalizing it) and the llm didnt need domain solvers, and the llm was not…

      bwfan123View on HNParent context

    • > At this point, I think it can only be explained by ignorance, bad faith, or fear of becoming irrelevant. Based on the past history with frontier-math & AIME 2025 [1],[2] I would not trust announcements which cant be independently verified. I am excited to try it out though.…

      bwfan123View on HNParent context

    • China is doing a great job raising doubt about any lead the major US labs may still have. This is solid progress across the board. The new battlefront may be to take reasoning to the level of abstraction and creativity to handle math problems without a numerical answer (for ex…

      WhitneyLandView on HNParent context

    • Yes, here's the link: https://arxiv.org/abs/2503.21934v1 Anecdotally, I've been playing around with o3-mini on undergraduate math questions: it is much better at "plug-and-chug" proofs than GPT-4, but those problems aren't independently interesting, they are explicitly…

      AIPedantView on HNParent context

    • I had to look up these acronyms: - USAMO - United States of America Mathematical Olympiad - IMO - International Mathematical Olympiad - ICPC - International Collegiate Programming Contest Relevant paper: https://arxiv.org/abs/2503.21934 - "Proof or Bluff? Evaluating LLMs on 2025…

      simonwView on HNParent context

    • Not the OP but USAMO : USA Math Olympiad. Referred here https://arxiv.org/pdf/2503.21934v1 IMO : International Math Olympiad SOTA : State of the Art OP is probably referring to this referred to this paper here https://arxiv.org/pdf/2503.21934v1. The paper explains out how a…

      BlanketLogicView on HNParent context

Submitted to Hacker News

Connected through shared HN threads, not inferred similarity or a recommendation.