Hint-before-Solving Prompting: Guiding LLMs to Effectively Utilize Encoded Knowledge
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Abstract (arXiv)
Large Language Models (LLMs) have recently showcased remarkable generalizability in various domains. Despite their extensive knowledge, LLMs still face challenges in efficiently utilizing encoded knowledge to develop accurate and logical reasoning processes. To mitigate this problem, we introduced Hint-before-Solving Prompting (HSP), which guides the model to generate hints (e.g., specific knowledge or key ideas) for solving the problem and then generate solutions containing intermediate reasoning steps. Since HSP is orthogonal to prompting methods (e.g., Chain-of-Thought (CoT)), we applied HSP to CoT, Least-to-Most, Plan-and-Solve, and Standard promptings. The results of extensive experiments on 6 reasoning benchmarks and 4 open-source LLMs demonstrate that HSP can effectively improve the accuracy of reasoning tasks: (1) By applying high-quality hint-enhanced HSP to CoT prompting, Llama2-70B-Chat shows an improvement of 9.7. (2) Beyond exploring training-free LLM capabilities, we built the HSPMATH dataset based on HSP and fine-tuned Llemma-7B, reaching 64.3 accuracy, surpassing GPT-3.5 and WizardMath-13B. We make our code and dataset publicly available at urlhttps://github.com/jinlanfu/HSP.
Key facts. Cited by 10 papers in the map (data through 14 Oct 2026). Builds on 28 of its 35 references that are in the map. First posted on arXiv 22 Feb 2024.
Builds on
28 of 35 references.
References · 28
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,132
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 13,028
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2022ReAct: Synergizing Reasoning and Acting in Language Modelscited by 8,695
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
- 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,326
- 2022Beyond the Imitation Game: Quantifying and extrapolating the capabilities of language modelscited by 1,998
- 2022Least-to-Most Prompting Enables Complex Reasoning in Large Language Modelscited by 1,407
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
- 2023WizardLM: Empowering large pre-trained language models to follow complex instructionscited by 1,125
- 2021Did Aristotle Use a Laptop? A Question Answering Benchmark with Implicit Reasoning Strategiescited by 743
- 2017Program Induction by Rationale Generation : Learning to Solve and Explain Algebraic Word Problemscited by 650
16 more
- 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instructcited by 625
- 2022Decomposed Prompting: A Modular Approach for Solving Complex Taskscited by 558
- 2023MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuningcited by 487
- 2023LeanDojo: Theorem Proving with Retrieval-Augmented Language Modelscited by 427
- 2022Complexity-Based Prompting for Multi-Step Reasoningcited by 388
- 2023Llemma: An Open Language Model For Mathematicscited by 388
- 2016Solving General Arithmetic Word Problemscited by 360
- 2021A Diverse Corpus for Evaluating and Developing English Math Word Problem Solverscited by 318
- 2023Faithful Chain-of-Thought Reasoningcited by 288
- 2022Rethinking with Retrieval: Faithful Large Language Model Inferencecited by 145
- 2023Verify-and-Edit: A Knowledge-Enhanced Chain-of-Thought Frameworkcited by 139
- 2022A Survey of Deep Learning for Mathematical Reasoningcited by 124
- 2023Exchange-of-Thought: Enhancing Large Language Model Capabilities through Cross-Model Communicationcited by 82
- 2021Prompting Contrastive Explanations for Commonsense Reasoning Taskscited by 45
- 2023Plan, Verify and Switch: Integrated Reasoning with Diverse X-of-Thoughtscited by 27
- 2023Adaptive-Solver Framework for Dynamic Strategy Selection in Large Language Model Reasoningcited by 12
Built on by
Citing papers per year: 2024: 3; 2025: 7.
10 papers.
- 2025Instruct-of-Reflection: Enhancing Large Language Models Iterative Reflection Capabilities via Dynamic-Meta Instructioncited by 10
- 2024Give me a hint: Can LLMs take a hint to solve math problems?cited by 7
- 2025Learning to Plan Before Answering: Self-Teaching LLMs to Learn Abstract Plans for Problem Solvingcited by 4
- 2025A Survey of Deep Learning for Geometry Problem Solvingcited by 4
- 2024Refining Answer Distributions for Improved Large Language Model Reasoningcited by 3
- 2025Rethinking the Unsolvable: When In-Context Search Meets Test-Time Scalingcited by 2
- 2024Gap-Filling Prompting Enhances Code-Assisted Mathematical Reasoningcited by 1
- 2025Do LLMs Know They Are Being Tested? Evaluation Awareness and Incentive-Sensitive Failures in GPT-OSS-20Bcited by 1
- 2025Computational Experiments in Number Theorycited by 0
- 2025Beyond Blind Spots: Analytic Hints for Mitigating LLM-Based Evaluation Pitfallscited by 0
- 2025Beyond Blind Spots: Analytic Hints for Mitigating LLM-Based Evaluation Pitfalls18 Dec 2025
- 2025Do LLMs Know They Are Being Tested? Evaluation Awareness and Incentive-Sensitive Failures in GPT-OSS-20B8 Oct 2025
- 2025A Survey of Deep Learning for Geometry Problem Solving16 Jul 2025
- 2025Rethinking the Unsolvable: When In-Context Search Meets Test-Time Scaling28 May 2025
- 2025Learning to Plan Before Answering: Self-Teaching LLMs to Learn Abstract Plans for Problem Solving28 Apr 2025
- 2025Computational Experiments in Number Theory28 Apr 2025
- 2025Instruct-of-Reflection: Enhancing Large Language Models Iterative Reflection Capabilities via Dynamic-Meta Instruction2 Mar 2025
- 2024Refining Answer Distributions for Improved Large Language Model Reasoning17 Dec 2024
- 2024Gap-Filling Prompting Enhances Code-Assisted Mathematical Reasoning8 Nov 2024
- 2024Give me a hint: Can LLMs take a hint to solve math problems?8 Oct 2024
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- 2025Unspoken Hints: Accuracy Without Acknowledgement in LLM Reasoning
- 2024Code Prompting Elicits Conditional Reasoning Abilities in Text+Code LLMs
- 2023Progressive-Hint Prompting Improves Reasoning in Large Language Models
- 2022Towards Understanding Chain-of-Thought Prompting: An Empirical Study of What Matters
- 2025Probing Large Language Models in Reasoning and Translating Complex Linguistic Puzzles
- 2023Plan-and-Solve Prompting: Improving Zero-Shot Chain-of-Thought Reasoning by Large Language Models
- 2025Short-Path Prompting in LLMs: Analyzing Reasoning Instability and Solutions for Robust Performance
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