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: 592790
    num_examples: 70
  download_size: 323327
  dataset_size: 592790
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_231617

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_231617/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_231617/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 feel free to use English for thinking and reflection, even if the user query or final response are in another language.\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\nOkay, let\u0027s start by breaking down the problem. We\u0027re asked to find the characteristic of the ring 2Z. The characteristic of a ring is the smallest positive integer n such that n times the multiplicative identity (in this case, 1) equals the additive identity (0). \n\nFirst, I need to recall what 2Z is. 2Z is the set of all integers that are multiples of 2. It\u0027s essentially the set of all even integers.\n\nNow, I need to find a number n such that n * 1 = 0 in 2Z. Since 1 is not a multiple of 2, multiplying it by any integer will not give us 0. But, what if we multiply 1 by 2? That would give us 2, which is a multiple of 2 and thus an element of 2Z.\n\nWait, I think I might be overcomplicating this. Let me take a step back. The characteristic of a ring is the smallest positive integer n such that n times the multiplicative identity is the additive identity. Since the multiplicative identity is 1, n times 1 should equal 0.\n\nHmm, I\u0027m not sure if I can find a specific number that works. I should think about the properties of the ring 2Z. One property is that it\u0027s a commutative ring with unity, and another one is that it\u0027s infinite.\n\nAh, I have an idea. What if I think about the definition of the characteristic? If n times 1 equals 0, that means 1, the multiplicative identity, is a zero divisor in the ring 2Z. But we know 2Z is an integral domain, and in an integral domain, the only zero divisors are 0 itself. So, the only number that satisfies this condition is 2 times 1, which is 2.\n\nNow, I need to make sure I\u0027m not making a mistake. I should check the other options to see if any of them satisfy the condition. Since 2 is the smallest number that works, it should be the characteristic of the ring 2Z.\n\nLet me evaluate my response.\nDraft Response:\n\"The characteristic of the ring 2Z is 2, since 2 times 1 equals 0 in 2Z, the additive identity.\"\n\nEvaluation:\n- The response is clear and concise.\n- The response explains the reasoning behind the answer.\n- The response doesn\u0027t contain any errors.\n\n**Final response:**\nThe characteristic of the ring 2Z is G. 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 G. 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\nOkay, let\u0027s start by breaking down the problem. We\u0027re asked to find the characteristic of the ring 2Z. The characteristic of a ring is the smallest positive integer n such that n times the multiplicative identity (in this case, 1) equals the additive identity (0). \n\nFirst, I need to recall what 2Z is. 2Z is the set of all integers that are multiples of 2. It\u0027s essentially the set of all even integers.\n\nNow, I need to find a number n such that n * 1 = 0 in 2Z. Since 1 is not a multiple of 2, multiplying it by any integer will not give us 0. But, what if we multiply 1 by 2? That would give us 2, which is a multiple of 2 and thus an element of 2Z.\n\nWait, I think I might be overcomplicating this. Let me take a step back. The characteristic of a ring is the smallest positive integer n such that n times the multiplicative identity is the additive identity. Since the multiplicative identity is 1, n times 1 should equal 0.\n\nHmm, I\u0027m not sure if I can find a specific number that works. I should think about the properties of the ring 2Z. One property is that it\u0027s a commutative ring with unity, and another one is that it\u0027s infinite.\n\nAh, I have an idea. What if I think about the definition of the characteristic? If n times 1 equals 0, that means 1, the multiplicative identity, is a zero divisor in the ring 2Z. But we know 2Z is an integral domain, and in an integral domain, the only zero divisors are 0 itself. So, the only number that satisfies this condition is 2 times 1, which is 2.\n\nNow, I need to make sure I\u0027m not making a mistake. I should check the other options to see if any of them satisfy the condition. Since 2 is the smallest number that works, it should be the characteristic of the ring 2Z.\n\nLet me evaluate my response.\nDraft Response:\n\"The characteristic of the ring 2Z is 2, since 2 times 1 equals 0 in 2Z, the additive identity.\"\n\nEvaluation:\n- The response is clear and concise.\n- The response explains the reasoning behind the answer.\n- The response doesn\u0027t contain any errors."
}
```

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_231617", "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_231617")
```


</details>




