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# Are NLP Models really able to Solve Simple Math Word Problems?

**Authors:** Arkil Patel, Satwik Bhattamishra, Navin Goyal · **Year:** 2021 · **Venue:** Proceedings of the 2021 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies (NAACL-HLT) **Link:** [aclanthology.org/2021.naacl-main.168](https://aclanthology.org/2021.naacl-main.168/) (ACL Anthology 2021.naacl-main.168; DOI [10.18653/v1/2021.naacl-main.168](https://doi.org/10.18653/v1/2021.naacl-main.168)) **License of the paper:** [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/) (ACL Anthology) — [creativecommons.org/licenses/by/4.0](https://creativecommons.org/licenses/by/4.0/)

[**290** citations](https://openalex.org/works?filter=cites:W3138392969) openalex-snapshot · 2026-10-14[**592** citations in our library](https://md.mova.elamur.ai/free/en/docs/papers/cited-by/patel-2021-are-nlp-models-really-able/) of the 140673 papers whose bibliographies we read[Proceedings of the 2021 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies](https://aclanthology.org/volumes/2021.naacl-main/)[licence](https://creativecommons.org/licenses/by/4.0/)

- [Publisher's page](https://aclanthology.org/2021.naacl-main.168/)
- [PDF](https://aclanthology.org/2021.naacl-main.168.pdf)
- [DOI 10.18653/v1/2021.naacl-main.168](https://doi.org/10.18653/v1/2021.naacl-main.168)
- [arXiv 2103.07191](https://arxiv.org/abs/2103.07191)
- [OpenAlex](https://openalex.org/W3138392969)

**Authors (3)**

1. [Arkil Patel](https://openalex.org/A5015473787) h 6 · 421 citations · 30 works
2. [Satwik Bhattamishra](https://openalex.org/A5067127146) [ORCID](https://orcid.org/0000-0002-8985-3709) · h 8 · 542 citations · 32 works
3. [Navin Goyal](https://openalex.org/A5029531416) [ORCID](https://orcid.org/0000-0002-8521-0108) · h 20 · 3136 citations · 100 works

Citations and author metrics from openalex-snapshot (2026-10-14); authors with the same name are not always told apart.

## Summary

The paper tests whether neural math word problem solvers really understand simple one-unknown arithmetic problems. On the standard MAWPS and ASDiv-A benchmarks, models still solve a large share of problems after the question is deleted, and a model that ignores word order reaches surprisingly high accuracy by keying on single cue words. The authors then build SVAMP: 1,000 problems created by hand as variations of 100 ASDiv-A seed problems, covering question sensitivity, reasoning changes (adding or altering information, inverting the operation) and structural invariance (reordering, irrelevant additions). The strongest model they test, Graph2Tree with RoBERTa, solves only 43.8% of SVAMP. The conclusion is that solvers rely on shallow heuristics, and that each number must be tied to its context and to the question.

## How Mova uses it

- SVAMP is the main benchmark of the math solver in `math` (the "steps" model and its judge); nearly every idea tested in the solver is reported as an SVAMP delta.
- `math/src/steps.rs` — question-binding features for the judge, motivated by the paper's finding that models ignore the question: whether content words of the question appear near each number, counts of used/unused numbers with and without such binding, and whether the operand order of a root subtraction or division agrees with the order in the question ("more X than Y" → X − Y).
- The paper's lesson about irrelevant numbers ("distractors") also drives later solver work on ignoring numbers not tied to the question.

## Effectiveness in Mova

Question binding was introduced together with other non-lexical features (verb classes, rates) and measured as a group: SVAMP 44.7% → 48.0%. The question-binding features alone are not measured separately. The current best solver configuration reaches 59.7% on SVAMP (179 of 300).

---

👨‍🔬💥

## Cite

The paper itself, not this card. BibTeX from the library's record of the work. [DOI 10.18653/v1/2021.naacl-main.168](https://doi.org/10.18653/v1/2021.naacl-main.168) · [arXiv 2103.07191](https://arxiv.org/abs/2103.07191)

```
@inproceedings{patel2021are,
  title = {{Are NLP Models really able to Solve Simple Math Word Problems?}},
  author = {Patel, Arkil and Bhattamishra, Satwik and Goyal, Navin},
  booktitle = {Proceedings of the 2021 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies},
  year = {2021},
  doi = {10.18653/v1/2021.naacl-main.168},
  eprint = {2103.07191},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.18653/v1/2021.naacl-main.168}
}
```

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## References

28 references, 3 of them with a card of ours. ↗ leads to the work, «find» searches for one we have no id for yet.

1. Aida Amini, Saadia Gabriel, Shanchuan Lin, Rik Koncel-Kedziorski, Yejin Choi, and Hannaneh Hajishirzi. 2019. MathQA: Towards interpretable math word problem solving with operation-based formalisms. In Proceedings of the 2019 Conference of the North American Chapter of the Association for Computation… [find](https://scholar.google.com/scholar?q=Aida+Amini%2C+Saadia+Gabriel%2C+Shanchuan+Lin%2C+Rik+Koncel%2DKedziorski%2C+Yejin+Choi%2C+and+Hannaneh+Hajishirzi%2E+2019%2E+MathQA%3A+Towards+interpretable+math+word+problem+solving+with+operation%2Dbased+formalisms%2E+In)
2. Yonatan Belinkov and James Glass. 2019. Analysis methods in neural language processing: A survey. Transactions of the Association for Computational Linguistics, 7:49–72. [find](https://scholar.google.com/scholar?q=Yonatan+Belinkov+and+James+Glass%2E+2019%2E+Analysis+methods+in+neural+language+processing%3A+A+survey%2E+Transactions+of+the+Association+for+Computational+Linguistics%2C+7%3A49%E2%80%9372%2E)
3. Zheng Cai, Lifu Tu, and Kevin Gimpel. 2017. Pay attention to the ending:strong neural baselines for the ROC story cloze task. In Proceedings of the 55th Annual Meeting of the Association for Computational Linguistics (Volume 2: Short Papers), pages 616– 622, Vancouver, Canada. Association for Comput… [find](https://scholar.google.com/scholar?q=Zheng+Cai%2C+Lifu+Tu%2C+and+Kevin+Gimpel%2E+2017%2E+Pay+attention+to+the+ending%3Astrong+neural+baselines+for+the+ROC+story+cloze+task%2E+In+Proceedings+of+the+55th+Annual+Meeting+of+the+Association+for+Computati)
4. Matt Gardner, Yoav Artzi, Victoria Basmova, Jonathan Berant, Ben Bogin, Sihao Chen, Pradeep Dasigi, Dheeru Dua, Yanai Elazar, Ananth Gottumukkala, Nitish Gupta, Hanna Hajishirzi, Gabriel Ilharco, Daniel Khashabi, Kevin Lin, Jiangming Liu, Nelson F. Liu, Phoebe Mulcaire, Qiang Ning, Sameer Singh, Noa… [find](https://scholar.google.com/scholar?q=Matt+Gardner%2C+Yoav+Artzi%2C+Victoria+Basmova%2C+Jonathan+Berant%2C+Ben+Bogin%2C+Sihao+Chen%2C+Pradeep+Dasigi%2C+Dheeru+Dua%2C+Yanai+Elazar%2C+Ananth+Gottumukkala%2C+Nitish+Gupta%2C+Hanna+Hajishirzi%2C+Gabriel+Ilharco%2C+Dani) [our card](https://md.mova.elamur.ai/free/en/docs/papers/gardner-2020-evaluating-models-local-decision-boundaries/)
5. Suchin Gururangan, Swabha Swayamdipta, Omer Levy, Roy Schwartz, Samuel Bowman, and Noah A. Smith. 2018. Annotation artifacts in natural language inference data. In Proceedings of the 2018 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Techno… [find](https://scholar.google.com/scholar?q=Suchin+Gururangan%2C+Swabha+Swayamdipta%2C+Omer+Levy%2C+Roy+Schwartz%2C+Samuel+Bowman%2C+and+Noah+A%2E+Smith%2E+2018%2E+Annotation+artifacts+in+natural+language+inference+data%2E+In+Proceedings+of+the+2018+Conference+o)
6. Danqing Huang, Shuming Shi, Chin-Yew Lin, and Jian Yin. 2017. Learning fine-grained expressions to solve math word problems. In Proceedings of the 2017 Conference on Empirical Methods in Natural Language Processing, pages 805–814, Copenhagen, Denmark. Association for Computational Linguistics. [find](https://scholar.google.com/scholar?q=Danqing+Huang%2C+Shuming+Shi%2C+Chin%2DYew+Lin%2C+and+Jian+Yin%2E+2017%2E+Learning+fine%2Dgrained+expressions+to+solve+math+word+problems%2E+In+Proceedings+of+the+2017+Conference+on+Empirical+Methods+in+Natural+Langu)
7. Danqing Huang, Shuming Shi, Chin-Yew Lin, Jian Yin, and Wei-Ying Ma. 2016a. How well do computers solve math word problems? large-scale dataset construction and evaluation. In Proceedings of the 54th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 887–8… [find](https://scholar.google.com/scholar?q=Danqing+Huang%2C+Shuming+Shi%2C+Chin%2DYew+Lin%2C+Jian+Yin%2C+and+Wei%2DYing+Ma%2E+2016a%2E+How+well+do+computers+solve+math+word+problems%3F+large%2Dscale+dataset+construction+and+evaluation%2E+In+Proceedings+of+the+54th+)
8. Danqing Huang, Shuming Shi, Chin-Yew Lin, Jian Yin, and Wei-Ying Ma. 2016b. How well do computers solve math word problems? large-scale dataset construction and evaluation. In Proceedings of the 54th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 887–8… [find](https://scholar.google.com/scholar?q=Danqing+Huang%2C+Shuming+Shi%2C+Chin%2DYew+Lin%2C+Jian+Yin%2C+and+Wei%2DYing+Ma%2E+2016b%2E+How+well+do+computers+solve+math+word+problems%3F+large%2Dscale+dataset+construction+and+evaluation%2E+In+Proceedings+of+the+54th+)
9. Rik Koncel-Kedziorski, Subhro Roy, Aida Amini, Nate Kushman, and Hannaneh Hajishirzi. 2016. MAWPS: A math word problem repository. In Proceedings of the 2016 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies, pages 1152–1157, San D… [find](https://scholar.google.com/scholar?q=Rik+Koncel%2DKedziorski%2C+Subhro+Roy%2C+Aida+Amini%2C+Nate+Kushman%2C+and+Hannaneh+Hajishirzi%2E+2016%2E+MAWPS%3A+A+math+word+problem+repository%2E+In+Proceedings+of+the+2016+Conference+of+the+North+American+Chapter+o)
10. Tal Linzen. 2020. How can we accelerate progress towards human-like linguistic generalization? In Proceedings of the 58th Annual Meeting of the Association for Computational Linguistics, pages 5210– 5217, Online. Association for Computational Linguistics. [find](https://scholar.google.com/scholar?q=Tal+Linzen%2E+2020%2E+How+can+we+accelerate+progress+towards+human%2Dlike+linguistic+generalization%3F+In+Proceedings+of+the+58th+Annual+Meeting+of+the+Association+for+Computational+Linguistics%2C+pages+5210%E2%80%93+5)
11. Yinhan Liu, Myle Ott, Naman Goyal, Jingfei Du, Mandar Joshi, Danqi Chen, Omer Levy, Mike Lewis, Luke Zettlemoyer, and Veselin Stoyanov. 2019. Roberta: A robustly optimized bert pretraining approach. [find](https://scholar.google.com/scholar?q=Yinhan+Liu%2C+Myle+Ott%2C+Naman+Goyal%2C+Jingfei+Du%2C+Mandar+Joshi%2C+Danqi+Chen%2C+Omer+Levy%2C+Mike+Lewis%2C+Luke+Zettlemoyer%2C+and+Veselin+Stoyanov%2E+2019%2E+Roberta%3A+A+robustly+optimized+bert+pretraining+approach%2E)
12. Thang Luong, Hieu Pham, and Christopher D. Manning. 2015. Effective approaches to attention-based neural machine translation. In Proceedings of the 2015 Conference on Empirical Methods in Natural Language Processing, pages 1412–1421, Lisbon, Portugal. Association for Computational Linguistics. [find](https://scholar.google.com/scholar?q=Thang+Luong%2C+Hieu+Pham%2C+and+Christopher+D%2E+Manning%2E+2015%2E+Effective+approaches+to+attention%2Dbased+neural+machine+translation%2E+In+Proceedings+of+the+2015+Conference+on+Empirical+Methods+in+Natural+Lang)
13. Tom McCoy, Ellie Pavlick, and Tal Linzen. 2019. Right for the wrong reasons: Diagnosing syntactic heuristics in natural language inference. In Proceedings of the 57th Annual Meeting of the Association for Computational Linguistics, pages 3428–3448, Florence, Italy. Association for Computational Ling… [find](https://scholar.google.com/scholar?q=Tom+McCoy%2C+Ellie+Pavlick%2C+and+Tal+Linzen%2E+2019%2E+Right+for+the+wrong+reasons%3A+Diagnosing+syntactic+heuristics+in+natural+language+inference%2E+In+Proceedings+of+the+57th+Annual+Meeting+of+the+Association) [our card](https://md.mova.elamur.ai/free/en/docs/papers/mccoy-2019-right-wrong-reasons-diagnosing-syntactic/)
14. Shen-yun Miao, Chao-Chun Liang, and Keh-Yih Su. 2020. A diverse corpus for evaluating and developing English math word problem solvers. In Proceedings of the 58th Annual Meeting of the Association for Computational Linguistics, pages 975–984, Online. Association for Computational Linguistics. [find](https://scholar.google.com/scholar?q=Shen%2Dyun+Miao%2C+Chao%2DChun+Liang%2C+and+Keh%2DYih+Su%2E+2020%2E+A+diverse+corpus+for+evaluating+and+developing+English+math+word+problem+solvers%2E+In+Proceedings+of+the+58th+Annual+Meeting+of+the+Association+for)
15. Yixin Nie, Adina Williams, Emily Dinan, Mohit Bansal, Jason Weston, and Douwe Kiela. 2020. Adversarial NLI: A new benchmark for natural language understanding. In Proceedings of the 58th Annual Meeting of the Association for Computational Linguistics, pages 4885–4901, Online. Association for Computa… [find](https://scholar.google.com/scholar?q=Yixin+Nie%2C+Adina+Williams%2C+Emily+Dinan%2C+Mohit+Bansal%2C+Jason+Weston%2C+and+Douwe+Kiela%2E+2020%2E+Adversarial+NLI%3A+A+new+benchmark+for+natural+language+understanding%2E+In+Proceedings+of+the+58th+Annual+Meetin)
16. Adam Poliak, Jason Naradowsky, Aparajita Haldar, Rachel Rudinger, and Benjamin Van Durme. 2018. [find](https://scholar.google.com/scholar?q=Adam+Poliak%2C+Jason+Naradowsky%2C+Aparajita+Haldar%2C+Rachel+Rudinger%2C+and+Benjamin+Van+Durme%2E+2018%2E)
17. Hypothesis only baselines in natural language inference. In Proceedings of the Seventh Joint Conference on Lexical and Computational Semantics, pages 180–191, New Orleans, Louisiana. Association for Computational Linguistics. [find](https://scholar.google.com/scholar?q=Hypothesis+only+baselines+in+natural+language+inference%2E+In+Proceedings+of+the+Seventh+Joint+Conference+on+Lexical+and+Computational+Semantics%2C+pages+180%E2%80%93191%2C+New+Orleans%2C+Louisiana%2E+Association+for+C)
18. D. Zhang, L. Wang, L. Zhang, B. T. Dai, and H. T. Shen. 2020. The gap of semantic parsing: A survey on automatic math word problem solvers. IEEE Transactions on Pattern Analysis and Machine Intelligence, 42(9):2287–2305. [find](https://scholar.google.com/scholar?q=D%2E+Zhang%2C+L%2E+Wang%2C+L%2E+Zhang%2C+B%2E+T%2E+Dai%2C+and+H%2E+T%2E+Shen%2E+2020%2E+The+gap+of+semantic+parsing%3A+A+survey+on+automatic+math+word+problem+solvers%2E+IEEE+Transactions+on+Pattern+Analysis+and+Machine+Intelligen)
19. Jinghui Qin, Lihui Lin, Xiaodan Liang, Rumin Zhang, and Liang Lin. 2020. Semantically-aligned universal tree-structured solver for math word problems. [find](https://scholar.google.com/scholar?q=Jinghui+Qin%2C+Lihui+Lin%2C+Xiaodan+Liang%2C+Rumin+Zhang%2C+and+Liang+Lin%2E+2020%2E+Semantically%2Daligned+universal+tree%2Dstructured+solver+for+math+word+problems%2E)
20. Jipeng Zhang, Lei Wang, Roy Ka-Wei Lee, Yi Bin, Yan Wang, Jie Shao, and Ee-Peng Lim. 2020. Graph-to-tree learning for solving math word problems. In Proceedings of the 58th Annual Meeting of the Association for Computational Linguistics, pages 3928– 3937, Online. Association for Computational Lingui… [find](https://scholar.google.com/scholar?q=Jipeng+Zhang%2C+Lei+Wang%2C+Roy+Ka%2DWei+Lee%2C+Yi+Bin%2C+Yan+Wang%2C+Jie+Shao%2C+and+Ee%2DPeng+Lim%2E+2020%2E+Graph%2Dto%2Dtree+learning+for+solving+math+word+problems%2E+In+Proceedings+of+the+58th+Annual+Meeting+of+the+Assoc)
21. Marco Tulio Ribeiro, Tongshuang Wu, Carlos Guestrin, and Sameer Singh. 2020. Beyond accuracy: Behavioral testing of NLP models with CheckList. In Proceedings of the 58th Annual Meeting of the Association for Computational Linguistics, pages 4902– 4912, Online. Association for Computational Linguisti… [find](https://scholar.google.com/scholar?q=Marco+Tulio+Ribeiro%2C+Tongshuang+Wu%2C+Carlos+Guestrin%2C+and+Sameer+Singh%2E+2020%2E+Beyond+accuracy%3A+Behavioral+testing+of+NLP+models+with+CheckList%2E+In+Proceedings+of+the+58th+Annual+Meeting+of+the+Associat)
22. Shachar Rosenman, Alon Jacovi, and Yoav Goldberg. 2020. Exposing Shallow Heuristics of Relation Extraction Models with Challenge Data. In Proceedings of the 2020 Conference on Empirical Methods in Natural Language Processing (EMNLP), pages 3702–3710, Online. Association for Computational Linguistics… [find](https://scholar.google.com/scholar?q=Shachar+Rosenman%2C+Alon+Jacovi%2C+and+Yoav+Goldberg%2E+2020%2E+Exposing+Shallow+Heuristics+of+Relation+Extraction+Models+with+Challenge+Data%2E+In+Proceedings+of+the+2020+Conference+on+Empirical+Methods+in+Nat)
23. Subhro Roy and Dan Roth. 2018. Mapping to declarative knowledge for word problem solving. Transactions of the Association for Computational Linguistics, 6:159–172. [find](https://scholar.google.com/scholar?q=Subhro+Roy+and+Dan+Roth%2E+2018%2E+Mapping+to+declarative+knowledge+for+word+problem+solving%2E+Transactions+of+the+Association+for+Computational+Linguistics%2C+6%3A159%E2%80%93172%2E) [our card](https://md.mova.elamur.ai/free/en/docs/papers/roy-2018-mapping-declarative-knowledge-word-problem/)
24. Mrinmaya Sachan and Eric Xing. 2017. Learning to solve geometry problems from natural language demonstrations in textbooks. In Proceedings of the 6th Joint Conference on Lexical and Computational Semantics (*SEM 2017), pages 251–261, Vancouver, Canada. Association for Computational Linguistics. [find](https://scholar.google.com/scholar?q=Mrinmaya+Sachan+and+Eric+Xing%2E+2017%2E+Learning+to+solve+geometry+problems+from+natural+language+demonstrations+in+textbooks%2E+In+Proceedings+of+the+6th+Joint+Conference+on+Lexical+and+Computational+Sema)
25. Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Ł ukasz Kaiser, and Illia Polosukhin. 2017. Attention is all you need. In Advances in Neural Information Processing Systems, volume 30. Curran Associates, Inc. [find](https://scholar.google.com/scholar?q=Ashish+Vaswani%2C+Noam+Shazeer%2C+Niki+Parmar%2C+Jakob+Uszkoreit%2C+Llion+Jones%2C+Aidan+N+Gomez%2C+%C5%81+ukasz+Kaiser%2C+and+Illia+Polosukhin%2E+2017%2E+Attention+is+all+you+need%2E+In+Advances+in+Neural+Information+Process)
26. Yan Wang, Xiaojiang Liu, and Shuming Shi. 2017. Deep neural solver for math word problems. In Proceedings of the 2017 Conference on Empirical Methods in Natural Language Processing, pages 845– 854, Copenhagen, Denmark. Association for Computational Linguistics. [find](https://scholar.google.com/scholar?q=Yan+Wang%2C+Xiaojiang+Liu%2C+and+Shuming+Shi%2E+2017%2E+Deep+neural+solver+for+math+word+problems%2E+In+Proceedings+of+the+2017+Conference+on+Empirical+Methods+in+Natural+Language+Processing%2C+pages+845%E2%80%93+854%2C+Co)
27. Sarah Wiegreffe and Yuval Pinter. 2019. Attention is not not explanation. In Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing and the 9th International Joint Conference on Natural Language Processing (EMNLP-IJCNLP), pages 11–20, Hong Kong, China. Association for… [find](https://scholar.google.com/scholar?q=Sarah+Wiegreffe+and+Yuval+Pinter%2E+2019%2E+Attention+is+not+not+explanation%2E+In+Proceedings+of+the+2019+Conference+on+Empirical+Methods+in+Natural+Language+Processing+and+the+9th+International+Joint+Conf)
28. Zhipeng Xie and Shichao Sun. 2019. A goal-driven tree-structured neural model for math word problems. In Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence, IJCAI-19, pages 5299–5305. International Joint Conferences on Artificial Intelligence Organization. [find](https://scholar.google.com/scholar?q=Zhipeng+Xie+and+Shichao+Sun%2E+2019%2E+A+goal%2Ddriven+tree%2Dstructured+neural+model+for+math+word+problems%2E+In+Proceedings+of+the+Twenty%2DEighth+International+Joint+Conference+on+Artificial+Intelligence%2C+IJC)
