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Large language models (LLMs) excel in natural language generation but often confidently produce incorrect responses, especially in tasks like mathematical reasoning. Chain-of-thought prompting, self-verification, and multi-agent debate are…

Computation and Language · Computer Science 2026-03-30 Mahmood Hegazy

This paper investigates the mathematical reasoning capabilities of large language models (LLMs) using 50 newly constructed high-school-level word problems. Unlike prior studies that focus solely on answer correctness, we rigorously analyze…

Artificial Intelligence · Computer Science 2025-02-24 Johan Boye , Birger Moell

With the rapid advancement of Artificial Intelligence (AI), Large Language Models (LLMs) have significantly impacted a wide array of domains, including healthcare, engineering, science, education, and mathematical reasoning. Among these,…

Machine Learning · Computer Science 2025-05-20 Afrar Jahin , Arif Hassan Zidan , Wei Zhang , Yu Bao , Tianming Liu

The reasoning capabilities of large language models (LLMs) have advanced rapidly, particularly following the release of DeepSeek R1, which has inspired a surge of research into data quality and reinforcement learning (RL) algorithms.…

Machine Learning · Computer Science 2025-11-04 Jian Yao , Ran Cheng , Xingyu Wu , Jibin Wu , Kay Chen Tan

Large Language Models (LLMs) are increasingly utilized in AI-driven educational instruction and assessment, particularly within mathematics education. The capability of LLMs to generate accurate answers and detailed solutions for math…

Artificial Intelligence · Computer Science 2025-08-15 Liang Zhang , Edith Aurora Graf

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

Large language models (LLMs) demonstrate impressive capabilities in mathematical reasoning. However, despite these achievements, current evaluations are mostly limited to specific mathematical topics, and it remains unclear whether LLMs are…

Computation and Language · Computer Science 2025-04-01 Arash Gholami Davoodi , Seyed Pouyan Mousavi Davoudi , Pouya Pezeshkpour

Large language models (LLMs) achieve impressive performance on complex mathematical benchmarks yet sometimes fail on basic math reasoning while generating unnecessarily verbose responses. In this paper, we present LLMThinkBench, a…

Computation and Language · Computer Science 2026-04-24 Gaurav Srivastava , Aafiya Hussain , Sriram Srinivasan , Xuan Wang

Achieving both accuracy and diverse reasoning remains challenging for Large Language Models (LLMs) in complex domains like mathematics. A key bottleneck is evaluating intermediate reasoning steps to guide generation without costly human…

Machine Learning · Computer Science 2025-10-14 Adam Younsi , Ahmed Attia , Abdalgader Abubaker , Mohamed El Amine Seddik , Hakim Hacid , Salem Lahlou

The advent of large reasoning models, such as OpenAI o1 and DeepSeek R1, has significantly advanced complex reasoning tasks. However, their capabilities in multilingual complex reasoning remain underexplored, with existing efforts largely…

Computation and Language · Computer Science 2025-05-27 Wenyang Luo , Wayne Xin Zhao , Jing Sha , Shijin Wang , Ji-Rong Wen

As large language models (LLMs) have demonstrated strong reasoning abilities in structured tasks (e.g., coding and mathematics), we explore whether these abilities extend to strategic multi-agent environments. We investigate strategic…

General Economics · Economics 2025-10-23 Gavin Kader , Dongwoo Lee

Mathematical reasoning in Large Language Models (LLMs) is often evaluated using benchmarks with limited numerical ranges, failing to reflect real-world problem-solving across diverse scales. Furthermore, most existing evaluation methods…

Machine Learning · Computer Science 2025-02-14 Safal Shrestha , Minwu Kim , Keith Ross

Compute scaling for LLM reasoning requires allocating budget between exploring solution approaches ($breadth$) and refining promising solutions ($depth$). Most methods implicitly trade off one for the other, yet why a given trade-off works…

Understanding the limitations of Large Language Models, or LLMs, in mathematical reasoning has been the focus of several recent studies. However, the majority of these studies use the same datasets for benchmarking, which limits the…

Artificial Intelligence · Computer Science 2026-01-01 Samuel Golladay , Majid Bani-Yaghoub

Algebraic reasoning remains one of the most informative stress tests for large language models, yet current benchmarks provide no mechanism for attributing failure to a specific cause. When a model fails an algebraic problem, a single…

Computation and Language · Computer Science 2026-04-09 Parth Patil , Dhruv Kumar , Yash Sinha , Murari Mandal

Large language models (LLMs) have shown promising first-order logic (FOL) reasoning capabilities with applications in various areas. However, their effectiveness in complex mathematical reasoning involving multi-step FOL deductions is still…

Artificial Intelligence · Computer Science 2025-06-23 Chuxue Cao , Mengze Li , Juntao Dai , Jinluan Yang , Zijian Zhao , Shengyu Zhang , Weijie Shi , Chengzhong Liu , Sirui Han , Yike Guo

Large language models (LLMs) are increasingly used for tasks that require complex reasoning. Most benchmarks focus on final outcomes but overlook the intermediate reasoning steps - such as planning, revision, and decision making under…

Artificial Intelligence · Computer Science 2025-06-16 Xiaopeng Yuan , Xingjian Zhang , Ke Xu , Yifan Xu , Lijun Yu , Jindong Wang , Yushun Dong , Haohan Wang

There is an increasing body of work using Large Language Models (LLMs) as agents for orchestrating workflows and making decisions in domains that require planning and multi-step reasoning. As a result, it is imperative to evaluate LLMs on…

Artificial Intelligence · Computer Science 2026-03-03 Harsha Kokel , Michael Katz , Kavitha Srinivas , Shirin Sohrabi

The rapid advancement of Large Language Models (LLMs) in the realm of mathematical reasoning necessitates comprehensive evaluations to gauge progress and inspire future directions. Existing assessments predominantly focus on problem-solving…

Computation and Language · Computer Science 2024-06-05 Xiaoyuan Li , Wenjie Wang , Moxin Li , Junrong Guo , Yang Zhang , Fuli Feng

The rapid advancement of large language models (LLMs) has led to significant breakthroughs in automated mathematical reasoning and scientific discovery. Georgiev, G${\'o}$mez-Serrano, Tao, and Wagner [GGSTW+25] demonstrate that AI systems…

Artificial Intelligence · Computer Science 2025-12-17 Yang Cao , Yubin Chen , Xuyang Guo , Zhao Song , Song Yue , Jiahao Zhang , Jiale Zhao
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