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---
pretty_name: Combi-Puzzles Dataset
license: mit
language:
- en
size_categories:
- n<1K
task_categories:
- text-generation
tags:
- maths
- combinatorics
- llms
---
# Combi-Puzzles Dataset
[](https://arxiv.org/abs/2412.11908)
[](https://huggingface.co/datasets/andynik/combi-puzzles)
[](https://github.com/andynik/combi-puzzles)
This repository contains the Combi-Puzzles dataset used in the research paper titled "Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments." These variations are designed to evaluate problem-solving strategies across different formats.
## Dataset Description
The Combi-Puzzles dataset includes 125 problems:
- **25 Base Combinatorial Problems**: Covers permutations, combinations, rules of addition/multiplication, and object arrangements.
- **5 Variations per Problem**:
- **Common**: Standard textbook form.
- **Mathematical**: Academic, technical presentation.
- **Adversarial**: Includes additional irrelevant numerical information.
- **Parameterisation**: Altered numerical parameters.
- **Linguistic Obfuscation**: Narrative fictional stories with problem context and irrelevant information.
## JSON file structure
| Field | Type | Description |
|--------------------------------|-------------------------|---------------------------------------------------------------------------------------------------|
| `id` | integer | Unique identifier for this problem entry. |
| `versions` | array of object | All textual variants of the problem. |
| `versions[].version` | string | Label for the problem variant. |
| `versions[].problem_statement` | string | The problem text or template; may contain `$paramX$` placeholders. |
| `parameters` | array of object | Concrete parameter-sets to fill into templates in some versions. |
| `parameters[].group_id` | integer | Identifier grouping together sets of `param1`–`param4` values. |
| `parameters[].param1` | integer or string | First placeholder value. |
| `parameters[].param2` | integer or string | Second placeholder value. |
| `parameters[].param3` | integer or string | Third placeholder value. |
| `parameters[].param4` | integer or string | Fourth placeholder value. |
## Problem Example
The image above illustrates an example of a combinatorial problem and its variations. The highlighted text indicates content modifications based on the common version. The mathematical and linguistic obfuscation variations constitute the new text.
## Additional Information
The Combi-Puzzles dataset contains problems that have parameters expressed in string format (e.g. 12 as "twelve"):
- **Problems' ID with String Parameters**: 6, 12, 19, 20.
## Usage
You are encouraged to use this dataset to further evaluate problem-solving strategies in LLMs or other domains. Please cite our paper if you publish material based on this dataset.
## License
This dataset is licensed under the MIT License. See the `LICENSE` file for more details.
## Citation
Please cite the following if you use the dataset in your work:
```bibtex
@misc{nikolaiev2024languagemodelsrivalmathematics,
title={Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments},
author={Andrii Nikolaiev and Yiannos Stathopoulos and Simone Teufel},
year={2024},
eprint={2412.11908},
archivePrefix={arXiv},
primaryClass={cs.CL},
url={https://arxiv.org/abs/2412.11908},
}
``` |