mlsanityData to 7 Oct 2026

Multi-tool Integration Application for Math Reasoning Using Large Language Model

arXiv 2408.12148 ↗First posted 22 Aug 2024cs.AIcited by 1

On the map: LLM reasoning → Mathematical reasoning

Abstract (arXiv)

Mathematical reasoning is an important research direction in the field of artificial intelligence. This article proposes a novel multi tool application framework for mathematical reasoning, aiming to achieve more comprehensive and accurate mathematical reasoning by utilizing the collaborative effect of large language models (LLMs) and multiple external tools. Firstly, use a Math Tool to perform basic mathematical calculations during the inference process through interaction with LLM. Secondly, Code Tool can generate code fragments that comply with syntax rules and execute them, providing support for complex mathematical problems. Then, through the iterative reasoning of the CoT Tool, the logical coherence and accuracy of mathematical reasoning are enhanced. Ultimately, by using self consistency tools to select the final answer based on different parameters, the consistency and reliability of reasoning are improved. Through the synergistic effect of these tools, the framework has achieved significant performance improvement in mathematical reasoning tasks. We conducted experiments on the NumGLUE Task 4 test set, which includes 220 mathematical reasoning fill in the blank questions. The experimental results showed that, based on Math Tool, Code Tool, and CoT Tool, in Task 4 task,our method achieved an accuracy of 89.09,compared with the GPT3+FewShot baseline, Few Shot+ERNIE-4.0+self consistency improved by 49.09%, and compared with fine-tuning the Fine tuning baseline, Few Shot+ERNIE-4.0+self consistency improved by 52.29%

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 11 of its 11 references that are in the map. First posted on arXiv 22 Aug 2024.

Builds on

11 of 11 references.

Closest ancestors · 2

Same direction, newest first

  1. 2023MathPrompter: Mathematical Reasoning using Large Language Models4 Mar
  2. 2022NumGLUE: A Suite of Fundamental yet Challenging Mathematical Reasoning Tasks12 Apr

Other references · 9

  1. 2023MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuningcited by 483
  2. 2016Solving General Arithmetic Word Problemscited by 353
  3. 2022Text and Patterns: For Effective Chain of Thought, It Takes Two to Tangocited by 128
  4. 2023CodeIE: Large Code Generation Models are Better Few-Shot Information Extractorscited by 67
  5. 2017Mapping to Declarative Knowledge for Word Problem Solvingcited by 36
  6. 2023MultiTool-CoT: GPT-3 Can Use Multiple External Tools with Chain of Thought Promptingcited by 27
  7. 2016Unit Dependency Graph and its Application to Arithmetic Word Problem Solvingcited by 25
  8. 2022LogicSolver: Towards Interpretable Math Word Problem Solving with Logical Prompt-enhanced Learningcited by 24
  9. 2023World Models for Math Story Problemscited by 11

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Cited by year

Citing papers per year: 2025: 1.

1 paper.

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  1. 2024MATHSENSEI: A Tool-Augmented Large Language Model for Mathematical Reasoning
  2. 2026Mathematical Reasoning in Large Language Models: Benchmarks, Architectures, Evaluation, and Open Challenges
  3. 2025A Toolbox, Not a Hammer -- Multi-TAG: Scaling Math Reasoning with Multi-Tool Aggregation
  4. 2024A Survey of Mathematical Reasoning in the Era of Multimodal Large Language Model: Benchmark, Method & Challenges
  5. 2024Large Language Models for Mathematical Reasoning: Progresses and Challenges
  6. 2023Evaluating and Improving Tool-Augmented Computation-Intensive Math Reasoning
  7. 2023From Good to Great: Improving Math Reasoning with Tool-Augmented Interleaf Prompting
  8. 2025A Survey on Mathematical Reasoning and Optimization with Large Language Models