mlsanityData to 14 Oct 2026

More Data or Better Data? A Critical Analysis of Data Selection and Synthesis for Mathematical Reasoning

arXiv 2510.07169 ↗First posted 8 Oct 2025cs.CLcited by 4

On the map: LLM reasoning → Mathematical reasoning

Abstract (arXiv)

The reasoning capabilities of Large Language Models (LLMs) play a critical role in many downstream tasks, yet depend strongly on the quality of training data. Despite various proposed data construction methods, their practical utility in real-world pipelines remains underexplored. In this work, we conduct a comprehensive analysis of open-source datasets and data synthesis techniques for mathematical reasoning, evaluating them under a unified pipeline designed to mirror training and deployment scenarios. We further distill effective data selection strategies and identify practical methods suitable for industrial applications. Our findings highlight that structuring data in more interpretable formats, or distilling from stronger models often outweighs simply scaling up data volume. This study provides actionable guidance for integrating training data to enhance LLM capabilities, supporting both cost-effective data curation and scalable model enhancement. We hope this work will inspire further research on how to balance "more data" versus "better data" for real-world reasoning tasks.

Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 47 of its 52 references that are in the map. First posted on arXiv 8 Oct 2025.

Builds on

47 of 52 references.

Closest ancestors · 5

Same direction, newest first

  1. 2025MathSmith: Towards Extremely Hard Mathematical Reasoning by Forging Synthetic Problems with a Reinforced Policy7 Aug
  2. 2025NaturalReasoning: Reasoning in the Wild with 2.8M Challenging Questions18 Feb
  3. 2025LIMO: Less is More for Reasoning5 Feb
  4. 2025SCP-116K: A High-Quality Problem-Solution Dataset and a Generalized Pipeline for Automated Extraction in the Higher Education Science Domain26 Jan
  5. 2024Physics of Language Models: Part 2.1, Grade-School Math and the Hidden Reasoning Process29 Jul

Other references · 42

  1. 2024The Llama 3 Herd of Modelscited by 14,715
  2. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  3. 2021Evaluating Large Language Models Trained on Codecited by 8,320
  4. 2020Measuring Massive Multitask Language Understandingcited by 7,963
  5. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  6. 2024Qwen2.5 Technical Reportcited by 4,942
  7. 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
  8. 2021Program Synthesis with Large Language Modelscited by 3,637
  9. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
  10. 2024Mixtral of Expertscited by 1,823
  11. 2022Challenging BIG-Bench Tasks and Whether Chain-of-Thought Can Solve Themcited by 1,807
  12. 2025s1: Simple test-time scalingcited by 1,341
30 more
  1. 2020Gradient Surgery for Multi-Task Learningcited by 1,256
  2. 2024DeepSeek-V2: A Strong, Economical, and Efficient Mixture-of-Experts Language Modelcited by 1,135
  3. 2019DROP: A Reading Comprehension Benchmark Requiring Discrete Reasoning Over Paragraphscited by 903
  4. 2023CMMLU: Measuring massive multitask language understanding in Chinesecited by 449
  5. 2024Improve Mathematical Reasoning in Language Models by Automated Process Supervisioncited by 441
  6. 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Modelscited by 384
  7. 2024The Faiss librarycited by 376
  8. 2024Magpie: Alignment Data Synthesis from Scratch by Prompting Aligned LLMs with Nothingcited by 346
  9. 2024Large Language Models for Data Annotation and Synthesis: A Surveycited by 205
  10. 2024OpenCoder: The Open Cookbook for Top-Tier Code Large Language Modelscited by 130
  11. 2024On Memorization of Large Language Models in Logical Reasoningcited by 117
  12. 2024MathBench: Evaluating the Theory and Application Proficiency of LLMs with a Hierarchical Mathematics Benchmarkcited by 105
  13. 2021MathBERT: A Pre-Trained Model for Mathematical Formula Understandingcited by 58
  14. 2024Enhancing LLM Reasoning with Reward-guided Tree Searchcited by 58
  15. 2025Scaling Laws of Synthetic Data for Language Modelscited by 46
  16. 2024A Survey on Data Synthesis and Augmentation for Large Language Modelscited by 41
  17. 2024A Survey on Data Augmentation in Large Model Eracited by 31
  18. 2024Data Augmentation using Large Language Models: Data Perspectives, Learning Paradigms and Challengescited by 30
  19. 2021Dynamic Transfer for Multi-Source Domain Adaptationcited by 29
  20. 2022What Makes Pre-trained Language Models Better Zero-shot Learners?cited by 23
  21. 2024CMR Scaling Law: Predicting Critical Mixture Ratios for Continual Pre-training of Language Modelscited by 23
  22. 2023Learning Deductive Reasoning from Synthetic Corpus based on Formal Logiccited by 18
  23. 2024CRAFT Your Dataset: Task-Specific Synthetic Dataset Generation Through Corpus Retrieval and Augmentationcited by 14
  24. 2025How Difficulty-Aware Staged Reinforcement Learning Enhances LLMs' Reasoning Capabilities: A Preliminary Experimental Studycited by 14
  25. 2024Reward Difference Optimization For Sample Reweighting In Offline RLHFcited by 10
  26. 2025MetaSynth: Meta-Prompting-Driven Agentic Scaffolds for Diverse Synthetic Data Generationcited by 10
  27. 2025PiKE: Adaptive Data Mixing for Large-Scale Multi-Task Learning Under Low Gradient Conflictscited by 8
  28. 2025Cut-and-Splat: Leveraging Gaussian Splatting for Synthetic Data Generationcited by 4
  29. 2025daDPO: Distribution-Aware DPO for Distilling Conversational Abilitiescited by 3
  30. 2025ReSURE: Regularizing Supervision Unreliability for Multi-turn Dialogue Fine-tuningcited by 3

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 4.

4 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026Mathematical Reasoning in Large Language Models: Benchmarks, Architectures, Evaluation, and Open Challenges
  2. 2025Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness
  3. 2026Improving Mathematical Reasoning Capabilities in Large Language Models via Reasoning Process Error Classification
  4. 2025FLAMES: Improving LLM Math Reasoning via a Fine-Grained Analysis of the Data Synthesis Pipeline
  5. 2025Mathematical Reasoning in Large Language Models: Assessing Logical and Arithmetic Errors across Wide Numerical Ranges
  6. 2024LLM Reasoning Engine: Specialized Training for Enhanced Mathematical Reasoning
  7. 2025MASS: Mathematical Data Selection via Skill Graphs for Pretraining Large Language Models
  8. 2024JiuZhang3.0: Efficiently Improving Mathematical Reasoning by Training Small Data Synthesis Models