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: 373966
    num_examples: 70
  download_size: 233385
  dataset_size: 373966
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 mmmlu-pro-eval-llama-70B

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/mmmlu-pro-eval-llama-70B/raw/main/pipeline.yaml"
```

or explore the configuration:

```console
distilabel pipeline info --config "https://huggingface.co/datasets/dvilasuero/mmmlu-pro-eval-llama-70B/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 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 of the ring equals zero. If no such n exists, the characteristic is said to be 0.\n\nThe ring 2Z consists of all even integers, which are multiples of 2. When we consider the multiples of 2, they can also be considered as multiples of other integers, but the smallest positive integer that applies to all elements of 2Z (since they are all even) is 2 itself. Since every element in 2Z is a multiple of 2, 2 times any element would result in an even number that is a multiple of 4, and thus in 2Z.\n\nHowever, the characteristic is not about what you get when multiplying an element by 2, but rather what you get when adding an element to itself n times, where n is the characteristic. In 2Z, adding 2 to itself will always result in another element in 2Z. However, if we add 2 to itself 2 times (which is the same as 2 * 2, but think in terms of addition here), we will not get 0. We will get 4 which is another element in 2Z.\n\nThe correct way to determine the characteristic is to find n such that 1 (multiplicative identity or the element 1 from the ring) added to itself n times equals 0. \n\nSince 1 is not in 2Z (because 1 is odd and 2Z consists of even integers), we try with 2. Adding 2 (the multiplicative identity for 2Z is not defined in the usual sense, but if we talk about the unity in terms of what 2Z can be considered a subset of, which is the integers Z, the unity is 1, but we look for something within 2Z, so we try 2) to itself until we get 0 is not possible in 2Z, but looking at it more properly, 2 is the only element that fits here and is in 2Z.\n\nBut actually, if you add 2 to itself a certain number of times until you get 0, think about it - you are doing 2+2+2+2... until you get 0. Since you can\u0027t get 0 in 2Z by adding 2 to itself, we need to find what number (2a) added to itself until it gets to 0 is what matters here. You get the characteristic is more related to how many times you add the unity to itself to get 0 if you did have a unity, and in 2Z our unity (or rather the number we use to test) would indeed be 2.\n\nIn Z, the characteristic is 0. But if you talk about 2Z having a characteristic, think about 0 being in 2Z and try 2+2 until you get to 0, this isn\u0027t possible but when thinking in terms of an n that is a characteristic, we actually look for an n such that n * 1 = 0, where 1 is the multiplicative identity. But if you did have an n such that n times the unity (or our substitute for unity in 2Z, being 2) equals 0, the only value would indeed be 0 if you did have a unity (which is not the case here)."
    },
    "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/Meta-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 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 of the ring equals zero. If no such n exists, the characteristic is said to be 0.\n\nThe ring 2Z consists of all even integers, which are multiples of 2. When we consider the multiples of 2, they can also be considered as multiples of other integers, but the smallest positive integer that applies to all elements of 2Z (since they are all even) is 2 itself. Since every element in 2Z is a multiple of 2, 2 times any element would result in an even number that is a multiple of 4, and thus in 2Z.\n\nHowever, the characteristic is not about what you get when multiplying an element by 2, but rather what you get when adding an element to itself n times, where n is the characteristic. In 2Z, adding 2 to itself will always result in another element in 2Z. However, if we add 2 to itself 2 times (which is the same as 2 * 2, but think in terms of addition here), we will not get 0. We will get 4 which is another element in 2Z.\n\nThe correct way to determine the characteristic is to find n such that 1 (multiplicative identity or the element 1 from the ring) added to itself n times equals 0. \n\nSince 1 is not in 2Z (because 1 is odd and 2Z consists of even integers), we try with 2. Adding 2 (the multiplicative identity for 2Z is not defined in the usual sense, but if we talk about the unity in terms of what 2Z can be considered a subset of, which is the integers Z, the unity is 1, but we look for something within 2Z, so we try 2) to itself until we get 0 is not possible in 2Z, but looking at it more properly, 2 is the only element that fits here and is in 2Z.\n\nBut actually, if you add 2 to itself a certain number of times until you get 0, think about it - you are doing 2+2+2+2... until you get 0. Since you can\u0027t get 0 in 2Z by adding 2 to itself, we need to find what number (2a) added to itself until it gets to 0 is what matters here. You get the characteristic is more related to how many times you add the unity to itself to get 0 if you did have a unity, and in 2Z our unity (or rather the number we use to test) would indeed be 2.\n\nIn Z, the characteristic is 0. But if you talk about 2Z having a characteristic, think about 0 being in 2Z and try 2+2 until you get to 0, this isn\u0027t possible but when thinking in terms of an n that is a characteristic, we actually look for an n such that n * 1 = 0, where 1 is the multiplicative identity. But if you did have an n such that n times the unity (or our substitute for unity in 2Z, being 2) equals 0, the only value would indeed be 0 if you did have a unity (which is not the case here).",
    "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/mmmlu-pro-eval-llama-70B", "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/mmmlu-pro-eval-llama-70B")
```


</details>




