size_categories:n<1K format:parquet modality:tabular modality:text library:datasets library:pandas library:mlcroissant library:polars library:distilabel region:us synthetic distilabel rlaif
---
size_categories: n<1K
dataset_info:
  features:
  - name: question_id
    dtype: int64
  - name: question
    dtype: string
  - name: options
    sequence: string
  - name: answer
    dtype: string
  - name: answer_index
    dtype: int64
  - name: cot_content
    dtype: string
  - name: category
    dtype: string
  - name: src
    dtype: string
  - name: instruction
    dtype: string
  - name: output
    dtype: string
  - name: distilabel_metadata
    struct:
    - name: raw_input_text_generation_0
      list:
      - name: content
        dtype: string
      - name: role
        dtype: string
    - name: raw_output_text_generation_0
      dtype: string
  - name: model_name
    dtype: string
  splits:
  - name: train
    num_bytes: 374928
    num_examples: 70
  download_size: 217484
  dataset_size: 374928
configs:
- config_name: default
  data_files:
  - split: train
    path: data/train-*
tags:
- synthetic
- distilabel
- rlaif
---

<p align="left">
  <a href="https://github.com/argilla-io/distilabel">
    <img src="https://raw.githubusercontent.com/argilla-io/distilabel/main/docs/assets/distilabel-badge-light.png" alt="Built with Distilabel" width="200" height="32"/>
  </a>
</p>

# Dataset Card for meta-llama_Llama-3.1-8B-Instruct_base_mmlu-pro_20241016_233106

This dataset has been created with [distilabel](https://distilabel.argilla.io/).



## Dataset Summary

This dataset contains a `pipeline.yaml` which can be used to reproduce the pipeline that generated it in distilabel using the `distilabel` CLI:

```console
distilabel pipeline run --config "https://huggingface.co/datasets/dvilasuero/meta-llama_Llama-3.1-8B-Instruct_base_mmlu-pro_20241016_233106/raw/main/pipeline.yaml"
```

or explore the configuration:

```console
distilabel pipeline info --config "https://huggingface.co/datasets/dvilasuero/meta-llama_Llama-3.1-8B-Instruct_base_mmlu-pro_20241016_233106/raw/main/pipeline.yaml"
```

## Dataset structure

The examples have the following structure per configuration:


<details><summary> Configuration: default </summary><hr>

```json
{
    "answer": "A",
    "answer_index": 0,
    "category": "math",
    "cot_content": "A: Let\u0027s think step by step. A characteristic of a ring is R is $n$ if the statement $ka = 0$ for all $a\\in 2Z$ implies that $k$ is a multiple of $n$. Assume that $ka = 0$ for all $a\\in 2Z$ for some $k$. In particular $2k = 0$. Hence $k=0$ and $n=0$. The answer is (A).",
    "distilabel_metadata": {
        "raw_input_text_generation_0": [
            {
                "content": "Question:\nThe symmetric group $S_n$ has $\n\\factorial{n}$ elements, hence it is not true that $S_{10}$ has 10 elements.\nFind the characteristic of the ring 2Z.\nOptions:\nA. 0\nB. 30\nC. 3\nD. 10\nE. 12\nF. 50\nG. 2\nH. 100\nI. 20\nJ. 5\nAnswer: Let\u0027s think step by step.",
                "role": "user"
            }
        ],
        "raw_output_text_generation_0": "To solve this problem, we first need to understand the question clearly. The question is asking for the characteristic of the ring of integers modulo 2, denoted by 2Z.\n\nThe characteristic of a ring is the smallest positive integer n such that n*0 = 0, or equivalently, the smallest positive integer n such that n times any element in the ring results in the additive identity element (in this case, 0). \n\nIn the ring of integers modulo 2 (2Z), the elements are 0 and 1. \n\nMultiplying any element by 0 will always result in 0. Therefore, we do not need to consider 2*0 or any other element. However, to find the characteristic, let\u0027s consider 2*1 and 2*0 to confirm:\n\n- 2*0 = 0 (since 0 is the additive identity)\n- 2*1 = 0 (since in 2Z, 2 is congruent to 0)\n\nWe can see that 2 times any element results in the additive identity element 0. Therefore, the characteristic of the ring 2Z is 2.\n\nThe option G. 2 is correct."
    },
    "instruction": "Question:\nThe symmetric group $S_n$ has $\n\\factorial{n}$ elements, hence it is not true that $S_{10}$ has 10 elements.\nFind the characteristic of the ring 2Z.\nOptions:\nA. 0\nB. 30\nC. 3\nD. 10\nE. 12\nF. 50\nG. 2\nH. 100\nI. 20\nJ. 5\nAnswer: Let\u0027s think step by step.",
    "model_name": "meta-llama/Llama-3.1-8B-Instruct",
    "options": [
        "0",
        "30",
        "3",
        "10",
        "12",
        "50",
        "2",
        "100",
        "20",
        "5"
    ],
    "output": "To solve this problem, we first need to understand the question clearly. The question is asking for the characteristic of the ring of integers modulo 2, denoted by 2Z.\n\nThe characteristic of a ring is the smallest positive integer n such that n*0 = 0, or equivalently, the smallest positive integer n such that n times any element in the ring results in the additive identity element (in this case, 0). \n\nIn the ring of integers modulo 2 (2Z), the elements are 0 and 1. \n\nMultiplying any element by 0 will always result in 0. Therefore, we do not need to consider 2*0 or any other element. However, to find the characteristic, let\u0027s consider 2*1 and 2*0 to confirm:\n\n- 2*0 = 0 (since 0 is the additive identity)\n- 2*1 = 0 (since in 2Z, 2 is congruent to 0)\n\nWe can see that 2 times any element results in the additive identity element 0. Therefore, the characteristic of the ring 2Z is 2.\n\nThe option G. 2 is correct.",
    "question": "The symmetric group $S_n$ has $\n\\factorial{n}$ elements, hence it is not true that $S_{10}$ has 10 elements.\nFind the characteristic of the ring 2Z.",
    "question_id": 0,
    "src": "cot_lib-abstract_algebra"
}
```

This subset can be loaded as:

```python
from datasets import load_dataset

ds = load_dataset("dvilasuero/meta-llama_Llama-3.1-8B-Instruct_base_mmlu-pro_20241016_233106", "default")
```

Or simply as it follows, since there's only one configuration and is named `default`: 

```python
from datasets import load_dataset

ds = load_dataset("dvilasuero/meta-llama_Llama-3.1-8B-Instruct_base_mmlu-pro_20241016_233106")
```


</details>




