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: 371174
    num_examples: 70
  download_size: 227025
  dataset_size: 371174
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-3.1-70B-Instruct_base_mmlu-pro_20241017_082202

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-3.1-70B-Instruct_base_mmlu-pro_20241017_082202/raw/main/pipeline.yaml"
```

or explore the configuration:

```console
distilabel pipeline info --config "https://huggingface.co/datasets/dvilasuero/meta-llama_Llama-3.1-70B-Instruct_base_mmlu-pro_20241017_082202/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 find the characteristic of the ring 2Z, we first need to understand what the characteristic of a ring is. The characteristic of a ring is the smallest positive integer n such that n times any element in the ring equals zero. If no such n exists, the ring is said to have characteristic 0.\n\nNow, let\u0027s analyze the ring 2Z. This ring consists of all even integers, i.e., integers that are multiples of 2.\n\nTo find the characteristic, we need to find the smallest positive integer n such that n times any element in 2Z equals zero.\n\nFor any even integer 2k (an element of 2Z), we can see that 2 * (2k) = 4k, which is not zero. This means that 2 is not the characteristic of the ring.\n\nHowever, when we multiply any even integer 2k by another even integer, we get another even integer, and no matter how many times we multiply it by itself or other even integers, it will never become zero.\n\nThis implies that there is no positive integer n that can make n * (2k) = 0 for all 2k in 2Z.\n\nHence, the ring 2Z has characteristic 0.\n\nThe correct answer is: A. 0"
    },
    "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-3.1-70B-Instruct",
    "options": [
        "0",
        "30",
        "3",
        "10",
        "12",
        "50",
        "2",
        "100",
        "20",
        "5"
    ],
    "output": "To find the characteristic of the ring 2Z, we first need to understand what the characteristic of a ring is. The characteristic of a ring is the smallest positive integer n such that n times any element in the ring equals zero. If no such n exists, the ring is said to have characteristic 0.\n\nNow, let\u0027s analyze the ring 2Z. This ring consists of all even integers, i.e., integers that are multiples of 2.\n\nTo find the characteristic, we need to find the smallest positive integer n such that n times any element in 2Z equals zero.\n\nFor any even integer 2k (an element of 2Z), we can see that 2 * (2k) = 4k, which is not zero. This means that 2 is not the characteristic of the ring.\n\nHowever, when we multiply any even integer 2k by another even integer, we get another even integer, and no matter how many times we multiply it by itself or other even integers, it will never become zero.\n\nThis implies that there is no positive integer n that can make n * (2k) = 0 for all 2k in 2Z.\n\nHence, the ring 2Z has characteristic 0.\n\nThe correct answer is: A. 0",
    "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-3.1-70B-Instruct_base_mmlu-pro_20241017_082202", "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-3.1-70B-Instruct_base_mmlu-pro_20241017_082202")
```


</details>




