mlsanityData to 14 Oct 2026

AgentMath: Empowering Mathematical Reasoning for Large Language Models via Tool-Augmented Agent

arXiv 2512.20745 ↗First posted 23 Dec 2025cs.AI cs.CL cs.LGcited by 17

On the map: LLM reasoning → Reasoning for agents, planning and code

also in 1 more
Abstract (arXiv)

Large Reasoning Models (LRMs) like o3 and DeepSeek-R1 have achieved remarkable progress in reasoning tasks with long cot. However, they remain computationally inefficient and struggle with accuracy when solving problems requiring complex mathematical operations. In this work, we present AgentMath, an agent framework that seamlessly integrates language models' reasoning capabilities with code interpreters' computational precision to efficiently tackle complex mathematical problems. Our approach introduces three key innovations: (1) An automated method that converts natural language chain-of-thought into structured tool-augmented trajectories, generating high-quality supervised fine-tuning (SFT) data to alleviate data scarcity; (2) A novel agentic reinforcement learning (RL) paradigm that dynamically interleaves natural language generation with real-time code execution. This enables models to autonomously learn optimal tool-use strategies through multi-round interactive feedback, while fostering emergent capabilities in code refinement and error correction; (3) An efficient training system incorporating innovative techniques, including request-level asynchronous rollout scheduling, agentic partial rollout, and prefix-aware weighted load balancing, achieving 4-5x speedup and making efficient RL training feasible on ultra-long sequences with scenarios with massive tool invocation. The evaluations show that AgentMath achieves state-of-the-art performance on challenging mathematical competition benchmarks including AIME24, AIME25, and HMMT25. Specifically, AgentMath-30B-A3B attains 90.6%, 86.4%, and 73.8% accuracy respectively, surpassing OpenAI-o3-mini and Claude-Opus-4.0-Thinking while remaining competitive with OpenAI-o3, Gemini-2.5-Pro, and DeepSeek-R1-671B-0528.These results validate the effectiveness of our approach and pave the way for building scalable mathematical reasoning agents.

Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). Placed in Reasoning for agents, planning and code, one of 17 directions in LLM reasoning. Builds on 95 of its 138 references that are in the map. First posted on arXiv 23 Dec 2025.

Builds on

95 of 138 references.

Closest ancestors · 12

Same direction, newest first

  1. 2025SFR-DeepResearch: Towards Effective Reinforcement Learning for Autonomously Reasoning Single Agents8 Sep
  2. 2025Understanding Tool-Integrated Reasoning26 Aug
  3. 2025Chain-of-Agents: End-to-End Agent Foundation Models via Multi-Agent Distillation and Agentic RL6 Aug
  4. 2025AutoTIR: Autonomous Tools Integrated Reasoning via Reinforcement Learning29 Jul
  5. 2025OpenCodeReasoning-II: A Simple Test Time Scaling Approach via Self-Critique11 Jul
  6. 2025Agent RL Scaling Law: Agent RL with Spontaneous Code Execution for Mathematical Problem Solving12 May
  7. 2025Agentic Reasoning and Tool Integration for LLMs via Reinforcement Learning28 Apr
  8. 2025Nemotron-Research-Tool-N1: Exploring Tool-Using Language Models with Reinforced Reasoning25 Apr
  9. 2025Acting Less is Reasoning More! Teaching Model to Act Efficiently21 Apr
  10. 2025ReTool: Reinforcement Learning for Strategic Tool Use in LLMs15 Apr
  11. 2025To Code or not to Code? Adaptive Tool Integration for Math Language Models via Expectation-Maximization2 Feb
  12. 2024OpenAI o1 System Card21 Dec

Other references · 83

  1. 2017Proximal Policy Optimization Algorithmscited by 15,215
  2. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  3. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  4. 2025Qwen3 Technical Reportcited by 8,820
  5. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
  6. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  7. 2024Qwen2.5 Technical Reportcited by 4,942
  8. 2023Toolformer: Language Models Can Teach Themselves to Use Toolscited by 4,182
  9. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,810
  10. 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 2,057
  11. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameterscited by 1,986
  12. 2021WebGPT: Browser-assisted question-answering with human feedbackcited by 1,745
38 more
  1. 2025Search-R1: Training LLMs to Reason and Leverage Search Engines with Reinforcement Learningcited by 1,444
  2. 2025s1: Simple test-time scalingcited by 1,341
  3. 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,210
  4. 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,090
  5. 2022Program of Thoughts Prompting: Disentangling Computation from Reasoning for Numerical Reasoning Taskscited by 1,076
  6. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 928
  7. 2023Gemini: A Family of Highly Capable Multimodal Modelscited by 872
  8. 2023CRITIC: Large Language Models Can Self-Correct with Tool-Interactive Critiquingcited by 783
  9. 2022PAL: Program-aided Language Modelscited by 652
  10. 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instructcited by 625
  11. 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wildcited by 511
  12. 2025Process Reinforcement through Implicit Rewardscited by 504
  13. 2023MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuningcited by 487
  14. 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Modelcited by 461
  15. 2025Search-o1: Agentic Search-Enhanced Large Reasoning Modelscited by 433
  16. 2023Llemma: An Open Language Model For Mathematicscited by 388
  17. 2025RAGEN: Understanding Self-Evolution in LLM Agents via Multi-Turn Reinforcement Learningcited by 386
  18. 2025R1-Searcher: Incentivizing the Search Capability in LLMs via Reinforcement Learningcited by 336
  19. 2025OpenThoughts: Data Recipes for Reasoning Modelscited by 304
  20. 2023ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solvingcited by 282
  21. 2024Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMscited by 273
  22. 2025AReaL: A Large-Scale Asynchronous Reinforcement Learning System for Language Reasoningcited by 250
  23. 2024Monte Carlo Tree Search Boosts Reasoning via Iterative Preference Learningcited by 241
  24. 2024ReFT: Reasoning with Reinforced Fine-Tuningcited by 239
  25. 2024mGTE: Generalized Long-Context Text Representation and Reranking Models for Multilingual Text Retrievalcited by 236
  26. 2025The Landscape of Agentic Reinforcement Learning for LLMs: A Surveycited by 205
  27. 2025ProRL: Prolonged Reinforcement Learning Expands Reasoning Boundaries in Large Language Modelscited by 194
  28. 2025A Comprehensive Survey of Self-Evolving AI Agents: A New Paradigm Bridging Foundation Models and Lifelong Agentic Systemscited by 183
  29. 2025AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning datasetcited by 174
  30. 2025Agentic Reinforced Policy Optimizationcited by 172
  31. 2025ToRL: Scaling Tool-Integrated RLcited by 169
  32. 2025Skywork Open Reasoner 1 Technical Reportcited by 165
  33. 2025Seed1.5-Thinking: Advancing Superb Reasoning Models with Reinforcement Learningcited by 161
  34. 2023MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoningcited by 156
  35. 2025Beyond Ten Turns: Unlocking Long-Horizon Agentic Search with Large-Scale Asynchronous RLcited by 150
  36. 2025SimpleTIR: End-to-End Reinforcement Learning for Multi-Turn Tool-Integrated Reasoningcited by 146
  37. 2025MiMo: Unlocking the Reasoning Potential of Language Model -- From Pretraining to Posttrainingcited by 121
  38. 2025Agent Lightning: Train ANY AI Agents with Reinforcement Learningcited by 109

50 most cited of 83 All 83 (JSON)

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 17.

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  1. 2026TurnOPD: Making On-Policy Distillation Turn-Aware for Efficient Long-Horizon Agent Trainingcited by 17
  2. 2026Understanding Reasoning in LLMs through Strategic Information Allocation under Uncertaintycited by 9
  3. 2026From log π to π: Taming Divergence in Soft Clipping via Bilateral Decoupled Decay of Probability Gradient Weightcited by 6
  4. 2026STARE: Surprisal-Guided Token-Level Advantage Reweighting for Policy Entropy Stabilitycited by 3
  5. 2026What Makes Good Agentic Data? An ACE Lens on Data Generation for LLM Agentscited by 3
  6. 2026LLMs with in-context learning for Algorithmic Theoretical Physicscited by 2
  7. 2026Deconstructing the Failure of Ideal Noise Correction: A Three-Pillar Diagnosiscited by 1
  8. 2026Implicit Hierarchical GRPO: Decoupling Tool Invocation from Execution for Tool-Integrated Mathematical Reasoningcited by 1
  9. 2026The Deterministic Horizon: When Extended Reasoning Fails and Tool Delegation Becomes Necessarycited by 1
  10. 2026Tool-Aware Optimization with Entropy Guidance for Efficient Agentic Reinforcement Learningcited by 1
  11. 2026Towards Autonomous Memory Agentscited by 0
  12. 2026Distilling Reasoning Without Knowledge: A Framework for Reliable LLMscited by 0
5 more
  1. 2026COTCAgent: Preventive Consultation via Probabilistic Chain-of-Thought Completioncited by 0
  2. 2026Micro-Macro Retrieval: Reducing Long-Form Hallucination in Large Language Modelscited by 0
  3. 2026AMTFV: Agentic Mathematical Tool-Flow Verification for LLM Self-Correctioncited by 0
  4. 2026From Collaboration to Capability: Internalizing Routed LLM Experts into Compact Reasonerscited by 0
  5. 2026Compositional SVG Generation via VLM-Driven Hierarchical Semantic Parsingcited by 0

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  1. 2026Agentic Proposing: Enhancing Large Language Model Reasoning via Compositional Skill Synthesis
  2. 2026M2A: Synergizing Mathematical and Agentic Reasoning in Large Language Models
  3. 2025Distilling Tool Knowledge into Language Models via Back-Translated Traces
  4. 2023Modeling Complex Mathematical Reasoning via Large Language Model based MathAgent
  5. 2025AutoTool: Dynamic Tool Selection and Integration for Agentic Reasoning
  6. 2025AlphaApollo: A System for Deep Agentic Reasoning
  7. 2025Unifying Language Agent Algorithms with Graph-based Orchestration Engine for Reproducible Agent Research
  8. 2025AgenticMath: Enhancing LLM Reasoning via Agentic-based Math Data Generation