Challenge: Existing studies have improved the performance of Large language models on well-defined mathematical benchmarks, but they often overlook ill-defined problems.
Approach: They develop a large-scale benchmark that contains over 5,000 ill-defined mathematical problems.
Outcome: The proposed framework improves the accuracy of identifying unsolvable problems by at least 12% across different LLMs, thus achieving stronger robust mathematical reasoning ability.

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Large Language Models for Mathematical Reasoning: Progresses and Challenges (2024.eacl-srw)

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Challenge: a survey examines the landscape of mathematical problem-solving techniques . large language models have proven to be potent assets in unraveling nuances of mathematical reasoning .
Approach: They examine the evolution of Large Language Models (LLMs) for solving mathematical problems . they examine the spectrum of LLM-oriented techniques proposed for solving math problems - and their challenges .
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LLMs for Mathematical Modeling: Towards Bridging the Gap between Natural and Mathematical Languages (2025.findings-naacl)

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Challenge: Large Language Models (LLMs) have demonstrated strong performance across various natural language processing tasks, but their proficiency in mathematical reasoning remains a key challenge.
Approach: They propose a process-oriented framework to evaluate LLMs' ability to construct mathematical models, using solvers to compare outputs with ground truth.
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Can Large Language Models Always Solve Easy Problems if They Can Solve Harder Ones? (2024.emnlp-main)

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Challenge: Large language models (LLMs) have impressive capabilities, but still suffer from inconsistency issues.
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RiddleBench: A New Generative Reasoning Benchmark for LLMs (2026.findings-eacl)

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Challenge: Large Language Models (LLMs) show remarkable capabilities, but complex reasoning skills require deeper investigation.
Approach: They propose a benchmark of 1,737 puzzles to test reasoning beyond simple pattern matching.
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Have LLMs Advanced Enough? A Challenging Problem Solving Benchmark For Large Language Models (2023.emnlp-main)

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Challenge: The performance of large language models (LLMs) on existing reasoning benchmarks has significantly improved over the past decade.
Approach: They propose a benchmark dataset for evaluating the problem solving abilities of large language models (LLMs) they curate 515 challenging problems from the highly competitive IIT JEE-Advanced exam.
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Can LLMs Reason in the Wild with Programs? (2024.findings-emnlp)

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Challenge: Large language models have shown superior capability to solve reasoning problems with programs.
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Outcome: The proposed model can be fine tuned to achieve better performance on ambiguous and mixed scope problems.
Exposing the Achilles’ Heel: Evaluating LLMs Ability to Handle Mistakes in Mathematical Reasoning (2025.acl-long)

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Challenge: Existing evaluations focus on final accuracy, neglecting the critical aspect of reasoning capabilities.
Approach: They propose to evaluate LLMs’ abilities to detect and correct reasoning mistakes by using rule-based methods and smaller language models.
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Reasoning in a Combinatorial and Constrained World: Benchmarking LLMs on Natural-Language Combinatorial Optimization (2026.findings-acl)

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Challenge: NLCO evaluates large language models for combinatorial optimization (CO) . existing evaluations emphasize relatively simple reasoning competencies .
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Outcome: The proposed model can handle combinatorial optimization without writing code or calling external solvers.
PECC: Problem Extraction and Coding Challenges (2024.lrec-main)

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Challenge: Existing benchmarks evaluate tasks in isolation, yet the extent to which LLMs can understand prose-style tasks, identify the underlying problems, and then generate appropriate code solutions remains mostly unexplored.
Approach: They propose a benchmark derived from Advent Of Code challenges and Project Euler, which requires LLMs to interpret narrative-embedded problems, extract requirements, and generate executable code.
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CLAMBER: A Benchmark of Identifying and Clarifying Ambiguous Information Needs in Large Language Models (2024.acl-long)

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Challenge: Large language models are used to meet user information needs, but their effectiveness in dealing with user queries that contain various types of ambiguity remains unknown.
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