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: 522736
    num_examples: 70
  download_size: 289595
  dataset_size: 522736
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_thinking_mmlu-pro_20241017_083212

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_thinking_mmlu-pro_20241017_083212/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_thinking_mmlu-pro_20241017_083212/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 to be a two-part question, but only the second part is relevant to the options provided. The first part about the symmetric group $S_n$ seems to be a distraction. Let\u0027s ignore it for now and focus on the second part.\n\nTo find the characteristic of the ring $2\\mathbb{Z}$, we need to recall the definition of the characteristic of a ring. The characteristic of a ring is the smallest positive integer $n$ such that $n \\cdot 1 = 0$, where $1$ is the multiplicative identity of the ring. If no such $n$ exists, the ring is said to have characteristic $0$.\n\nIn this case, we\u0027re dealing with the ring $2\\mathbb{Z}$, which consists of all even integers. The multiplicative identity of this ring is $2$, since $2 \\cdot x = x$ for all $x \\in 2\\mathbb{Z}$.\n\nNow, let\u0027s think about the multiples of $2$. When we add $2$ to itself, we get $4$, which is also in the ring. In fact, no matter how many times we add $2$ to itself, we\u0027ll never get $0$. This suggests that the ring $2\\mathbb{Z}$ has characteristic $0$.\n\nBut wait, there\u0027s another way to think about this. The ring $2\\mathbb{Z}$ is a subring of the integers $\\mathbb{Z}$, which has characteristic $0$. Since any subring of a ring with characteristic $0$ also has characteristic $0$, we can conclude that $2\\mathbb{Z}$ has characteristic $0$.\n\n**Draft Response:**\nThe characteristic of the ring $2\\mathbb{Z}$ is $0$, since it is a subring of the integers $\\mathbb{Z}$, which has characteristic $0$.\n\n**Evaluation:**\nThis response is clear and concise, but it may not be immediately convincing to someone who is not familiar with the definition of characteristic or subrings. We should add a brief explanation of why the characteristic of $2\\mathbb{Z}$ is $0$.\n\n**Final response:**\n\nThe characteristic of the ring $2\\mathbb{Z}$ is $0$. To see why, recall that the characteristic of a ring is the smallest positive integer $n$ such that $n \\cdot 1 = 0$, where $1$ is the multiplicative identity of the ring. In this case, the multiplicative identity of $2\\mathbb{Z}$ is $2$, since $2 \\cdot x = x$ for all $x \\in 2\\mathbb{Z}$. However, no matter how many times we add $2$ to itself, we\u0027ll never get $0$. This suggests that the ring $2\\mathbb{Z}$ has characteristic $0$. Alternatively, since $2\\mathbb{Z}$ is a subring of the integers $\\mathbb{Z}$, which has characteristic $0$, we can conclude that $2\\mathbb{Z}$ also has characteristic $0$.\n\nTherefore, the 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": "The characteristic of the ring $2\\mathbb{Z}$ is $0$. To see why, recall that the characteristic of a ring is the smallest positive integer $n$ such that $n \\cdot 1 = 0$, where $1$ is the multiplicative identity of the ring. In this case, the multiplicative identity of $2\\mathbb{Z}$ is $2$, since $2 \\cdot x = x$ for all $x \\in 2\\mathbb{Z}$. However, no matter how many times we add $2$ to itself, we\u0027ll never get $0$. This suggests that the ring $2\\mathbb{Z}$ has characteristic $0$. Alternatively, since $2\\mathbb{Z}$ is a subring of the integers $\\mathbb{Z}$, which has characteristic $0$, we can conclude that $2\\mathbb{Z}$ also has characteristic $0$.\n\nTherefore, the 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",
    "thought": "**Internal Thoughts:**\n\nHmm, this question seems to be a two-part question, but only the second part is relevant to the options provided. The first part about the symmetric group $S_n$ seems to be a distraction. Let\u0027s ignore it for now and focus on the second part.\n\nTo find the characteristic of the ring $2\\mathbb{Z}$, we need to recall the definition of the characteristic of a ring. The characteristic of a ring is the smallest positive integer $n$ such that $n \\cdot 1 = 0$, where $1$ is the multiplicative identity of the ring. If no such $n$ exists, the ring is said to have characteristic $0$.\n\nIn this case, we\u0027re dealing with the ring $2\\mathbb{Z}$, which consists of all even integers. The multiplicative identity of this ring is $2$, since $2 \\cdot x = x$ for all $x \\in 2\\mathbb{Z}$.\n\nNow, let\u0027s think about the multiples of $2$. When we add $2$ to itself, we get $4$, which is also in the ring. In fact, no matter how many times we add $2$ to itself, we\u0027ll never get $0$. This suggests that the ring $2\\mathbb{Z}$ has characteristic $0$.\n\nBut wait, there\u0027s another way to think about this. The ring $2\\mathbb{Z}$ is a subring of the integers $\\mathbb{Z}$, which has characteristic $0$. Since any subring of a ring with characteristic $0$ also has characteristic $0$, we can conclude that $2\\mathbb{Z}$ has characteristic $0$.\n\n**Draft Response:**\nThe characteristic of the ring $2\\mathbb{Z}$ is $0$, since it is a subring of the integers $\\mathbb{Z}$, which has characteristic $0$.\n\n**Evaluation:**\nThis response is clear and concise, but it may not be immediately convincing to someone who is not familiar with the definition of characteristic or subrings. We should add a brief explanation of why the characteristic of $2\\mathbb{Z}$ is $0$."
}
```

This subset can be loaded as:

```python
from datasets import load_dataset

ds = load_dataset("dvilasuero/meta-llama_Llama-3.1-70B-Instruct_thinking_mmlu-pro_20241017_083212", "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_thinking_mmlu-pro_20241017_083212")
```


</details>




