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: thought
    dtype: string
  - name: output
    dtype: string
  - name: distilabel_metadata
    struct:
    - name: raw_input_thinking_l_l_m_generation_0
      list:
      - name: content
        dtype: string
      - name: role
        dtype: string
    - name: raw_output_thinking_l_l_m_generation_0
      dtype: string
  - name: model_name
    dtype: string
  splits:
  - name: train
    num_bytes: 558565
    num_examples: 70
  download_size: 298344
  dataset_size: 558565
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_thinking_mmlu-pro_20241016_234533

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_thinking_mmlu-pro_20241016_234533/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_thinking_mmlu-pro_20241016_234533/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_thinking_l_l_m_generation_0": [
            {
                "content": "\n        Respond to the following user query in a comprehensive and detailed way. But first write down\n        your internal thoughts. This must include your draft response and its evaluation. After this,\n        write your final response after \"**Final response:**\". \n        Your internal thoughts won\u0027t be shown to the final user so use English for thinking and reflection and respond in the language requested or used by the user in the query.\n        User query: 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.\n        ",
                "role": "user"
            }
        ],
        "raw_output_thinking_l_l_m_generation_0": "**Internal thoughts:**\n\nHmm, this question seems unrelated to the symmetric group S_n. It\u0027s a question about the characteristic of a ring, specifically 2Z. We need to recall what the characteristic of a ring is. The characteristic of a ring is the smallest positive integer n such that n \\* 1 = 0, where * is the multiplication operation in the ring. If no such n exists, then the characteristic is defined to be 0. Okay, let\u0027s think about 2Z, which is the set of all even integers. If we multiply any element of 2Z by 2, we get 0. \n\nSo, the characteristic of 2Z is likely 2. But we need to check if there\u0027s a smaller positive integer that also gives 0 when multiplied by 1 in 2Z. Hmm, no, 1 itself gives 0 when multiplied by 1 in 2Z, but that\u0027s not a positive integer. So, let\u0027s recall that the characteristic of a ring is defined as the smallest positive integer n that satisfies the condition, so we need to check if there\u0027s another smaller positive integer that satisfies the condition.\n\nHowever, since the operation in 2Z is simple addition and multiplication, and all elements are even, there\u0027s no smaller positive integer than 2 that will give 0 when multiplied by 1 in 2Z. So, it seems like the characteristic of 2Z is indeed 2.\n\nNow, let\u0027s think about the options given. We have options A (0), B (30), C (3), D (10), E (12), F (50), G (2), H (100), I (20), and J (5). It seems like only one of these options is the correct characteristic of 2Z.\n\nDraft response:\nThe characteristic of the ring 2Z is 2.\n\nEvaluation: This seems like a simple and short response, but we need to make sure we\u0027ve accurately recalled the definition of the characteristic of a ring and applied it to 2Z correctly.\n\n**Final response:**\n\nThe characteristic of the ring 2Z is 2."
    },
    "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": "The characteristic of the ring 2Z is 2.",
    "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",
    "thought": "**Internal thoughts:**\n\nHmm, this question seems unrelated to the symmetric group S_n. It\u0027s a question about the characteristic of a ring, specifically 2Z. We need to recall what the characteristic of a ring is. The characteristic of a ring is the smallest positive integer n such that n \\* 1 = 0, where * is the multiplication operation in the ring. If no such n exists, then the characteristic is defined to be 0. Okay, let\u0027s think about 2Z, which is the set of all even integers. If we multiply any element of 2Z by 2, we get 0. \n\nSo, the characteristic of 2Z is likely 2. But we need to check if there\u0027s a smaller positive integer that also gives 0 when multiplied by 1 in 2Z. Hmm, no, 1 itself gives 0 when multiplied by 1 in 2Z, but that\u0027s not a positive integer. So, let\u0027s recall that the characteristic of a ring is defined as the smallest positive integer n that satisfies the condition, so we need to check if there\u0027s another smaller positive integer that satisfies the condition.\n\nHowever, since the operation in 2Z is simple addition and multiplication, and all elements are even, there\u0027s no smaller positive integer than 2 that will give 0 when multiplied by 1 in 2Z. So, it seems like the characteristic of 2Z is indeed 2.\n\nNow, let\u0027s think about the options given. We have options A (0), B (30), C (3), D (10), E (12), F (50), G (2), H (100), I (20), and J (5). It seems like only one of these options is the correct characteristic of 2Z.\n\nDraft response:\nThe characteristic of the ring 2Z is 2.\n\nEvaluation: This seems like a simple and short response, but we need to make sure we\u0027ve accurately recalled the definition of the characteristic of a ring and applied it to 2Z correctly."
}
```

This subset can be loaded as:

```python
from datasets import load_dataset

ds = load_dataset("dvilasuero/meta-llama_Llama-3.1-8B-Instruct_thinking_mmlu-pro_20241016_234533", "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_thinking_mmlu-pro_20241016_234533")
```


</details>




