# Reverse Operation based Data Augmentation for Solving Math Word Problems

arXiv: https://arxiv.org/abs/2010.01556 · HTML: https://mlsanity.com/paper/2010.01556/

## Key facts

- Cited by 15 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Oct 2020.

## Built on by (most cited first, 15 of 15)

- [Data Augmentation Approaches in Natural Language Processing: A Survey](https://mlsanity.com/paper/2110.01852/) (2021)
- [Is Your Model Really A Good Math Reasoner? Evaluating Mathematical Reasoning with Checklist](https://mlsanity.com/paper/2407.08733/) (2024)
- [Let GPT be a Math Tutor: Teaching Math Word Problem Solvers with Customized Exercise Generation](https://mlsanity.com/paper/2305.14386/) (2023)
- [Learning by Analogy: Diverse Questions Generation in Math Word Problem](https://mlsanity.com/paper/2306.09064/) (2023)
- [TreeCut: A Synthetic Unanswerable Math Word Problem Dataset for LLM Hallucination Evaluation](https://mlsanity.com/paper/2502.13442/) (2025)
- [Why are NLP Models Fumbling at Elementary Math? A Survey of Deep Learning based Word Problem Solvers](https://mlsanity.com/paper/2205.15683/) (2022)
- [Math Word Problem Solving by Generating Linguistic Variants of Problem Statements](https://mlsanity.com/paper/2306.13899/) (2023)
- [Semantic-based Data Augmentation for Math Word Problems](https://mlsanity.com/paper/2201.02489/) (2022)
- [Improving Compositional Generalization in Math Word Problem Solving](https://mlsanity.com/paper/2209.01352/) (2022)
- [Seeking Diverse Reasoning Logic: Controlled Equation Expression Generation for Solving Math Word Problems](https://mlsanity.com/paper/2209.10310/) (2022)
- [From Large to Tiny: Distilling and Refining Mathematical Expertise for Math Word Problems with Weakly Supervision](https://mlsanity.com/paper/2403.14390/) (2024)
- [ComSearch: Equation Searching with Combinatorial Strategy for Solving Math Word Problems with Weak Supervision](https://mlsanity.com/paper/2210.07017/) (2022)
- [Textual Enhanced Contrastive Learning for Solving Math Word Problems](https://mlsanity.com/paper/2211.16022/) (2022)
- [Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery](https://mlsanity.com/paper/2606.08728/) (2026)
- [Data Augmentation with In-Context Learning and Comparative Evaluation in Math Word Problem Solving](https://mlsanity.com/paper/2404.03938/) (2024)

## Abstract (arXiv)

Automatically solving math word problems is a critical task in the field of natural language processing. Recent models have reached their performance bottleneck and require more high-quality data for training. We propose a novel data augmentation method that reverses the mathematical logic of math word problems to produce new high-quality math problems and introduce new knowledge points that can benefit learning the mathematical reasoning logic. We apply the augmented data on two SOTA math word problem solving models and compare our results with a strong data augmentation baseline. Experimental results show the effectiveness of our approach. We release our code and data at https://github.com/yiyunya/RODA.