Dataset Card for Calc-SVAMP

Summary

The dataset is a collection of simple math word problems focused on arithmetics. It is derived from https://github.com/arkilpatel/SVAMP/.

The main addition in this dataset variant is the chain column. It was created by converting the solution 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 to the mathematical problem (a number)

Supported Tasks

This variant of 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 created the dataset by converting the equation attribute in the original dataset to a sequence (chain) of calculations, with final one being the result to the math problem. We also perform in-dataset and cross-dataset data-leak detection within the Calc-X collection. However, for SVAMP specifically, we detected no data leaks and filtered no data.

Content and data splits

The dataset contains the same data instances as the original dataset except for a correction of inconsistency between equation and answer in one data instance. To the best of our knowledge, the original dataset does not contain an official train-test split. We treat the whole dataset as a testing benchmark.

Attributes:

• id: problem id from the original dataset
• question: the question intended to answer
• chain: series of simple operations (derived from equation) that leads to the solution
• result: the result (number) as a string
• result_float: result converted to a floating point
• equation: a nested expression that evaluates to the correct result
• problem_type: a category of the problem

Attributes id, question, chain, and result are present in all datasets in Calc-X collection.

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.

• Calc-X collection - datasets for training Calcformers
• Calcformers collection - calculator-using models we trained and published on HF
• Calc-X and Calcformers paper
• Calc-X and Calcformers repo

Here are links to the original dataset:

• original SVAMP dataset and repo
• original SVAMP paper

Licence

MIT, consistent with the original source dataset linked above.

Cite

If you use this version of dataset in research, please cite the original SVAMP paper, and Calc-X collection as follows:

@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",
}