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Achieving >97% on GSM8K: Deeply Understanding the Problems Makes LLMs Better Solvers for Math Word Problems

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arxiv 2404.14963 v5 pith:TRAPVWYE submitted 2024-04-23 cs.CL cs.AI

classification cs.CLcs.AI
keywords errorsllmsproblemsreasoningdeeplymathmethodmisunderstanding
verification ladder T0 review T1 audit T2 compute T3 formal
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Chain-of-Thought (CoT) prompting has enhanced the performance of Large Language Models (LLMs) across various reasoning tasks. However, CoT still falls short in dealing with complex math word problems, as it usually suffers from three pitfalls: semantic misunderstanding errors, calculation errors, and step-missing errors. Prior studies involve addressing the calculation errors and step-missing errors, but neglect the semantic misunderstanding errors, which is the major factor limiting the reasoning performance of LLMs. To this end, we propose a simple-yet-effective method, namely Deeply Understanding the Problems (DUP), to improve the LLMs' math problem-solving ability by addressing semantic misunderstanding errors. The core of our method is to encourage the LLMs to deeply understand the problems and extract the key problem-solving information used for better reasoning. Extensive experiments on 10 diverse reasoning benchmarks show that our DUP method consistently outperforms the other counterparts by a large margin. More encouragingly, DUP achieves a new SOTA result on the GSM8K benchmark, with an accuracy of 97.1% under the zero-shot setting.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  2. Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery

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    An integrated survey organizing AI mathematical reasoning into informal, formal, discovery, and technique axes while cataloging benchmarks and assessing failure modes.

  3. Robust Knowledge Editing via Explicit Reasoning Chains for Distractor-Resilient Multi-Hop QA

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    Teaching an LLM to emit a fixed four-stage reasoning chain during fine-tuning makes single-pass multi-hop knowledge editing robust to distractor facts.

  4. Soft Guidance Starts to Outperform CoT Prompting as LLMs Improve

    cs.AI 2026-08 conditional novelty 4.0 of 10

    On GSM8K, zero-shot free-form generation beats few-shot CoT prompting for Mathstral, Qwen2.5, and Llama-3.1, suggesting standard CoT baselines can underestimate modern reasoning models.

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    A reward model that multiplies stepwise correctness and potential scores improves best-of-N verification accuracy for math reasoning.

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    A 'check the question, then answer concisely' prompt reduces token use and often improves accuracy in reasoning LLMs, but the self-doubt measure is based on an unvalidated LLM judge.

  7. A Survey on Large Language Models for Mathematical Reasoning

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    Recent advances in LLM mathematical reasoning are organized into comprehension and generation phases, covering methods from prompting to test-time scaling.

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