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: thinking
    dtype: string
  - name: output
    dtype: string
  - name: distilabel_metadata
    struct:
    - name: raw_input_text_generation_with_cot_reflection_0
      list:
      - name: content
        dtype: string
      - name: role
        dtype: string
    - name: raw_output_text_generation_with_cot_reflection_0
      dtype: string
  - name: model_name
    dtype: string
  splits:
  - name: train
    num_bytes: 837586
    num_examples: 70
  download_size: 352638
  dataset_size: 837586
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_cot_mmlu-pro_20241016_234734

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_cot_mmlu-pro_20241016_234734/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_cot_mmlu-pro_20241016_234734/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_with_cot_reflection_0": [
            {
                "content": "You are a helpful AI assistant",
                "role": "system"
            },
            {
                "content": "You are an AI assistant that uses a Chain of Thought (CoT) approach with reflection to answer queries. You MUST STRICTLY follow these steps and format:\n\n1. Think through the problem step by step within ONE pair of \u003cthinking\u003e tags.\n2. Include one or more reflections on your thinking within \u003creflection\u003e tags inside the \u003cthinking\u003e section. This reflections must verify and be critical about previous thinking steps, not just common sense or cliche reflections. Only add reflections that are useful to verify and make sure the final output is correct.\n3. Make any necessary adjustments based on your reflections, still within the \u003cthinking\u003e tags.\n4. Verify your answer against common knowledge or basic facts relevant to the question type.\n5. Provide your final, concise answer within the \u003coutput\u003e tags.\n\nCRITICAL: \n- Use EXACTLY ONE pair of \u003cthinking\u003e tags.\n- Include AT LEAST ONE pair of \u003creflection\u003e tags INSIDE the \u003cthinking\u003e section.\n- ALWAYS include a verification step before your final answer.\n- Put your FINAL ANSWER ONLY inside the \u003coutput\u003e tags.\n- ALWAYS include both opening \u003coutput\u003e and closing \u003c/output\u003e tags.\n\nHere\u0027s the EXACT format you MUST follow:\n\n\u003cthinking\u003e\n[Your step-by-step reasoning goes here. This is your internal thought process, not the final answer.]\n\u003creflection\u003e\n[Your first reflection on your reasoning, checking for errors or improvements]\n\u003c/reflection\u003e\n[Any adjustments based on your first reflection]\n\u003creflection\u003e\n[Your second reflection, if needed]\n\u003c/reflection\u003e\n[Any further adjustments]\n\u003creflection\u003e\n[More verifications against common knowledge, basic facts, your thought process, all depending on the type of user query, don\u0027t overthink simple questions]\n\u003c/reflection\u003e\n[Final confirmation or any last adjustments based on verification]\n\u003c/thinking\u003e\n\u003coutput\u003e\n[Your final, concise answer to the query. This is the ONLY part that will be shown to the user.]\n\u003c/output\u003e\n\n\nFailure to follow this EXACT format, including the verification step, will result in incorrect processing of your response. Always double-check your reasoning and facts against well-established knowledge in the relevant field, whether it\u0027s mathematics, science, history, or any other domain. Verify your answer using multiple approaches when possible, and be prepared to correct any initial misconceptions.\nUser 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.",
                "role": "user"
            }
        ],
        "raw_output_text_generation_with_cot_reflection_0": "\u003cthinking\u003e\nThe characteristic of a ring is the smallest positive integer n such that n times any element in the ring is the zero element. In the case of the ring 2Z, which is the set of all integers divisible by 2, we need to find the smallest n for which 2n * a = 0 for all a in 2Z. Since 2Z consists of all even integers, any even integer multiplied by 2 is still even and not necessarily 0. This suggests that the characteristic might not be 2, since 2 * any even integer is not 0. However, \u003creflection\u003e I should consider the specific structure of 2Z and how it interacts with multiplication. In 2Z, every element is 0 when multiplied by any even integer. Upon reflection, I realize that n = 2 is indeed a possibility, as 2 * any element in 2Z is 0. But I need to check other options to ensure this is the smallest possible n. \u003c/reflection\u003e Considering this, I should also examine other options to see if a smaller n exists. For n = 1, 1 * any element in 2Z is that element itself, not 0. Similarly, for n = 3, 3 * any element in 2Z is a multiple of 3, which can be nonzero in 2Z. This suggests that n = 2 is indeed the smallest possible characteristic, since any smaller n would not result in 0 for all elements. \u003creflection\u003e Now I need to verify that my conclusion makes sense in the context of the definition of characteristic and basic properties of modular arithmetic. Checking my reasoning against the definition of characteristic and basic properties of modular arithmetic confirms that n = 2 is indeed the correct answer, as 2 is the smallest number for which 2n * a = 0 for all a in 2Z. \u003c/reflection\u003e This conclusion checks out with my understanding of the ring 2Z and its properties under multiplication, so I\u0027m confident in my final answer. \u003c/thinking\u003e\n\u003coutput\u003e2\u003c/output\u003e"
    },
    "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": "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",
    "thinking": "The characteristic of a ring is the smallest positive integer n such that n times any element in the ring is the zero element. In the case of the ring 2Z, which is the set of all integers divisible by 2, we need to find the smallest n for which 2n * a = 0 for all a in 2Z. Since 2Z consists of all even integers, any even integer multiplied by 2 is still even and not necessarily 0. This suggests that the characteristic might not be 2, since 2 * any even integer is not 0. However, \u003creflection\u003e I should consider the specific structure of 2Z and how it interacts with multiplication. In 2Z, every element is 0 when multiplied by any even integer. Upon reflection, I realize that n = 2 is indeed a possibility, as 2 * any element in 2Z is 0. But I need to check other options to ensure this is the smallest possible n. \u003c/reflection\u003e Considering this, I should also examine other options to see if a smaller n exists. For n = 1, 1 * any element in 2Z is that element itself, not 0. Similarly, for n = 3, 3 * any element in 2Z is a multiple of 3, which can be nonzero in 2Z. This suggests that n = 2 is indeed the smallest possible characteristic, since any smaller n would not result in 0 for all elements. \u003creflection\u003e Now I need to verify that my conclusion makes sense in the context of the definition of characteristic and basic properties of modular arithmetic. Checking my reasoning against the definition of characteristic and basic properties of modular arithmetic confirms that n = 2 is indeed the correct answer, as 2 is the smallest number for which 2n * a = 0 for all a in 2Z. \u003c/reflection\u003e This conclusion checks out with my understanding of the ring 2Z and its properties under multiplication, so I\u0027m confident in my final answer."
}
```

This subset can be loaded as:

```python
from datasets import load_dataset

ds = load_dataset("dvilasuero/meta-llama_Llama-3.1-8B-Instruct_cot_mmlu-pro_20241016_234734", "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_cot_mmlu-pro_20241016_234734")
```


</details>




