README.md

---
license: apache-2.0
configs:
- config_name: default
  data_files:
  - split: train
    path: data/train-*
- config_name: original-splits
  data_files:
  - split: train
    path: original-splits/train-*
  - split: validation
    path: original-splits/validation-*
  - split: test
    path: original-splits/test-*
dataset_info:
- config_name: default
  features:
  - name: id
    dtype: string
  - name: question
    dtype: string
  - name: chain
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  - name: result
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  - name: result_float
    dtype: float64
  - name: question_without_options
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  - name: options
    struct:
    - name: A
      dtype: string
    - name: B
      dtype: string
    - name: C
      dtype: string
    - name: D
      dtype: string
    - name: E
      dtype: string
  - name: annotated_formula
    dtype: string
  - name: linear_formula
    dtype: string
  - name: rationale
    dtype: string
  - name: category
    dtype: string
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  - name: train
    num_bytes: 25058735
    num_examples: 20868
  download_size: 11157481
  dataset_size: 25058735
- config_name: original-splits
  features:
  - name: id
    dtype: string
  - name: question
    dtype: string
  - name: chain
    dtype: string
  - name: result
    dtype: string
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  - name: question_without_options
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    - name: B
      dtype: string
    - name: C
      dtype: string
    - name: D
      dtype: string
    - name: E
      dtype: string
  - name: annotated_formula
    dtype: string
  - name: linear_formula
    dtype: string
  - name: rationale
    dtype: string
  - name: category
    dtype: string
  splits:
  - name: train
    num_bytes: 25058735
    num_examples: 20868
  - name: validation
    num_bytes: 3722848
    num_examples: 3102
  - name: test
    num_bytes: 2423833
    num_examples: 2029
  download_size: 13928430
  dataset_size: 31205416
---

# Dataset Card for Calc-math_qa


## Summary

This dataset is an instance of math_qa dataset, converted to a simple HTML-like language that can be easily parsed (e.g. by BeautifulSoup). The data contains 3 types of tags:
- gadget: A tag whose content is intended to be evaluated by calling an external tool (sympy-based calculator in this case)
- output: An output of the external tool
- result: The final answer of the mathematical problem (correct option)


## Supported Tasks

The dataset is intended for training Chain-of-Thought reasoning **models able to use external tools** to enhance the factuality of their responses.
This dataset presents in-context scenarios where models can outsource the computations in the reasoning chain to a calculator.


## Construction Process

We took the original math_qa dataset, parsed the nested formulas, linearized them into a sequence (chain) of operations, and replaced all advanced
function calls (such as `circle_area`) with explicit elementary operations. We evaluate all the steps in each example and filter out examples if their
evaluation does not match the answer selected as correct in the data with a 5% tolerance, with about 26k examples remaining. The sequence of steps is then saved in HTML-like language
in the `chain` column.

We also perform in-dataset and cross-dataset data-leak detection within [Calc-X collection](https://huggingface.co/collections/MU-NLPC/calc-x-652fee9a6b838fd820055483).
Specifically for MathQA, we found that majority of validation and test examples are near-duplicates of some example in the train set, and that all validation and test
examples likely originate from the Aqua-RAT train split. We do not recommend to original validation and test splits of the MathQA dataset.

You can read more information about this process in our [Calc-X paper](https://arxiv.org/abs/2305.15017).


## Data splits

In our default configuration, test and validation splits are removed and we recommend using MathQA for training only. You can load it using:

```python
datasets.load_dataset("MU-NLPC/calc-math_qa")
```

If you want to use the original dataset splits, you can load it using:

```python
datasets.load_dataset("MU-NLPC/calc-math_qa", "original-splits")
```


## Atributes

- **id** - id of the example
- **question** - the description of a mathematical problem in natural language, and includes the options to be selected from
- **chain** - solution in the form of step-by-step calculations encoded in simple html-like language. computed from `annotated_formula` column
- **result** - the correct option
- **result_float** - the result converted to a float
- **question_without_options** - same as `question`, but does not contain the options
- **options** - dictionary of options to choose from, one is correct, keys are "A".."E" 
- **annotated_formula** - human-annotated nested expression that (approximately) evaluates to the selected correct answer
- **linear_formula** - same as `annotated_formula`, but linearized by original math_qa authors
- **rationale** - human-annotated free-text reasoning that leads to the correct answer
- **category** - category of the math problem

Attributes **id**, **question**, **chain**, and **result** are present in all datasets in [Calc-X collection](https://huggingface.co/collections/MU-NLPC/calc-x-652fee9a6b838fd820055483).


## Sources

- [mathqa HF dataset](https://huggingface.co/datasets/math_qa)
- [official website](https://math-qa.github.io/)


## Related work

This dataset was created as a part of a larger effort in training models capable of using a calculator during inference, which we call Calcformers.
We have released a collection of datasets on solving math problems with calculator interactions on HuggingFace called [Calc-X collection](https://huggingface.co/collections/MU-NLPC/calc-x-652fee9a6b838fd820055483).
You can find the models we trained in the [Calcformers collection](https://huggingface.co/collections/MU-NLPC/calcformers-65367392badc497807b3caf5).
You can read more in our paper [Calc-X and Calcformers](https://arxiv.org/abs/2305.15017).


## Licence

Apache 2.0, consistently with the original dataset.


## Cite

If you use this version of dataset in research, please cite the [original MathQA paper](https://arxiv.org/abs/1905.13319), and [Calc-X paper](https://arxiv.org/abs/2305.15017) as follows:

```bibtex
@inproceedings{kadlcik-etal-2023-soft,
    title = "Calc-X and Calcformers: Empowering Arithmetical Chain-of-Thought through Interaction with Symbolic Systems",
    author = "Marek Kadlčík and Michal Štefánik and Ondřej Sotolář and Vlastimil Martinek",
    booktitle = "Proceedings of the The 2023 Conference on Empirical Methods in Natural Language Processing: Main track",
    month = dec,
    year = "2023",
    address = "Singapore, Singapore",
    publisher = "Association for Computational Linguistics",
    url = "https://arxiv.org/abs/2305.15017",
}
```