Challenge: Numerical reasoning is ubiquitous in scientific research and financial analysis, but few benchmarks evaluate them by integrating numerical processing and mathematical reasoning.
Approach: They propose a numerically-integrated hierarchical benchmark with 27,215 questions derived from 7,404 math word problems that spans 4 key cognitive aspects, 14 subcategories, and 2 modalities.
Outcome: The proposed model improves Qwen-2.5 score with SOLVE and IRPO training.

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MathBench: Evaluating the Theory and Application Proficiency of LLMs with a Hierarchical Mathematics Benchmark (2024.findings-acl)

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Challenge: Recent advances in large language models have showcased significant improvements in mathematics, but traditional benchmarks like GSM8k offer a unidimensional perspective.
Approach: MathBench is a benchmark that rigorously assesses the mathematical capabilities of large language models.
Outcome: MathBench spans a wide range of mathematical disciplines, offering a detailed evaluation of both theoretical understanding and practical problem-solving skills.
Exposing Numeracy Gaps: A Benchmark to Evaluate Fundamental Numerical Abilities in Large Language Models (2025.findings-acl)

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Challenge: Existing benchmarks focus on linguistic competence or structured mathematical problem-solving, neglecting fundamental numerical reasoning required in real-world scenarios.
Approach: They propose a benchmark to evaluate numerical capabilities for large language models . they use a dataset to assess number recognition, arithmetic operations, contextual retrieval, comparison, summary, and multi-step reasoning.
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HighMATH: Evaluating Math Reasoning of Large Language Models in Breadth and Depth (2025.findings-emnlp)

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Challenge: a gap in math models' accuracy has been widened with the development of large language models (LLMs) . a new study aims to bridge this gap by evaluating a set of high-level math reasoning models .
Approach: They propose to evaluate large language models on existing math benchmarks to bridge this gap . they collect 5,293 problems from Chinese senior high school mathematics exams .
Outcome: The proposed model is based on o1-like models and a high-level model.
SMART: Evaluating LLMs’ Mathematical Reasoning via a Human Cognitive Process-Inspired Benchmark (2026.acl-long)

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Challenge: Existing evaluation methods focus on the final answer or on the intermediate reasoning steps, overlooking its inherently multi-stage and multi-dimensional nature.
Approach: They propose a benchmark that decomposes mathematical problem-solving into four cognitive dimensions and introduces dimension-specific tasks to measure their cognitive processes.
Outcome: The proposed model decomposes mathematical problem-solving into four cognitive dimensions and introduces dimension-specific tasks to measure their cognitive processes.
Do LLMs Overthink Basic Math Reasoning? Benchmarking the Accuracy-Efficiency Tradeoff in Language Models (2026.findings-acl)

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Challenge: Large language models (LLMs) achieve impressive performance on complex benchmarks yet sometimes fail on basic math reasoning.
Approach: They propose a benchmark to evaluate the efficiency of reasoning in large language models . they formalize the accuracy-verbosity tradeoff and introduce the overthinking score .
Outcome: The proposed model performs well on complex benchmarks but fails on basic math reasoning . the proposed model generates 18 more tokens while achieving lower accuracy .
Rationales for Answers to Simple Math Word Problems Confuse Large Language Models (2024.findings-acl)

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Challenge: Recent studies show that large language models have advanced mathematical problem-solving abilities in grade school math word problems.
Approach: They propose to combine fine-tuning and prompt-based methods to improve performance . they propose to use a hybrid algorithm to fine- tune LLMs on specific tasks .
Outcome: The proposed methods improve performance on the proposed reasoning process evaluation benchmarks.
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.
Outcome: The proposed model performs better on open-source and proprietary models than the current model, but with techniques like self-consistency, self-refinement and chain-of-thought prompting.
Can Large Language Models Win the International Mathematical Games? (2025.emnlp-main)

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Challenge: Recent advances in large language models (LLMs) have demonstrated strong mathematical reasoning abilities, even in visual contexts.
Approach: They propose a benchmark of 2,183 high-quality mathematical problems in an open-ended format that enables a structured evaluation of LLMs’ mathematical and logical reasoning abilities.
Outcome: The new benchmark spans seven age groups and a skill-based taxonomy and enables a structured evaluation of LLMs’ mathematical and logical reasoning abilities.
MATHSENSEI: A Tool-Augmented Large Language Model for Mathematical Reasoning (2024.naacl-long)

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Challenge: TALMs have been successfully employed in question-answering benchmarks, but their efficacy on complex mathematical reasoning benchmarks are open research questions.
Approach: They propose a tool-augmented large language model for mathematical reasoning that enhances the skillset of large language models (LLMs) by 13.5%.
Outcome: The proposed model achieves better accuracy and better knowledge retrieval performance than existing tools.
WirelessMathBench: A Mathematical Modeling Benchmark for LLMs in Wireless Communications (2025.findings-acl)

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Challenge: Large Language Models (LLMs) have demonstrated impressive results across a broad array of tasks, yet their capacity for complex, domain-specific mathematical reasoning remains underexplored.
Approach: They propose a benchmark to evaluate Large Language Models on mathematical modeling challenges to wireless communications engineering.
Outcome: The proposed benchmark evaluates LLMs on mathematical modeling challenges to wireless communications engineering.

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