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In base-11, what is 76+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
8A
Math-11
Irrelevant
Hard
Question: In base-11, what is 97+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 4 = 11 in base-10. Since we're in base-11, that ...
14
6
fixed
In base-11, what is 97+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
160
Math-11
Irrelevant
Hard
Question: In base-11, what is 18+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 8 + 9 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale...
14
6
fixed
In base-11, what is 85+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
178
Math-11
Irrelevant
Hard
Question: In base-11, what is A0+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + A = 10 in base-10. In physics...
14
6
fixed
In base-11, what is 92+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
134
Math-11
Irrelevant
Hard
Question: In base-11, what is 19+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, resp...
14
6
fixed
In base-11, what is 29+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
86
Math-11
Irrelevant
Hard
Question: In base-11, what is 9A+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have A + 2 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds t...
14
6
fixed
In base-11, what is A2+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
143
Math-11
Irrelevant
Hard
Question: In base-11, what is 96+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 4 = 10 in base-10. Since we're in base-11, that ...
14
6
fixed
In base-11, what is 2A+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
96
Math-11
Irrelevant
Hard
Question: In base-11, what is 91+17? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 1 + 7 = 8 in base-10. In physics, eight is the number of vertices of a cube. Since we're in base-11, that doesn't exceed the maximum...
14
6
fixed
In base-11, what is 91+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
147
Math-11
Irrelevant
Hard
Question: In base-11, what is 64+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + ...
14
6
fixed
In base-11, what is 69+48? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
106
Math-11
Irrelevant
Hard
Question: In base-11, what is 9A+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 2 = 12 in base-10. In computer science, '12' is ...
14
6
fixed
In base-11, what is 87+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
170
Math-11
Irrelevant
Hard
Question: In base-11, what is 55+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 6 = 11 in base-10. In numerology, 11 is consider...
14
6
fixed
In base-11, what is 7A+19? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
98
Math-11
Irrelevant
Hard
Question: In base-11, what is 91+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, resp...
14
6
fixed
In base-11, what is 85+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
11A
Math-11
Irrelevant
Hard
Question: In base-11, what is 73+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 3 + 2 = 5 in base-10. In mathemat...
14
6
fixed
In base-11, what is 23+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
116
Math-11
Irrelevant
Hard
Question: In base-11, what is 62+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 9 = 11 in base-10. In human biology, the body ha...
14
6
fixed
In base-11, what is 42+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
129
Math-11
Irrelevant
Hard
Question: In base-11, what is 18+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, resp...
14
6
fixed
In base-11, what is 81+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
129
Math-11
Irrelevant
Hard
Question: In base-11, what is 8A+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have A + 3 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-...
14
6
fixed
In base-11, what is 51+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
136
Math-11
Irrelevant
Hard
Question: In base-11, what is 91+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 1 + 2 = 3 in base-10. Sin...
14
6
fixed
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NoRa: Noisy Rationales Dataset

NoRa (Noisy Rationales) is a dataset specifically designed to evaluate the reasoning capabilities of Large Language Models (LLMs) when faced with noisy reasoning processes. This dataset contains reasoning tasks with both clean reasoning samples and samples with different types and difficulties of noise.

Dataset Structure

The dataset is organized along three main attributes:

1. task (Task Types)

  • Math-9: Mathematical operations in base-9
  • Math-11: Mathematical operations in base-11
  • Symbolic-Equal: Symbol manipulation with equal sequence lengths
  • Symbolic-Longer: Symbol manipulation with longer sequence lengths
  • Commonsense: Relational reasoning tasks

2. noise_type (Noise Types)

  • Clean: Chain-of-thought demonstrations without noise
  • Irrelevant: Noise that is irrelevant to the reasoning
  • Inaccurate: Noise containing inaccurate information

3. difficulty (for noisy samples)

  • Easy: Low-difficulty noise
  • Medium: Medium-difficulty noise
  • Hard: High-difficulty noise
  • None: For Clean samples (no noise)

Data Format

Each sample contains the following fields:

  • question: The question text
  • answer: The correct answer
  • task: The task type (Math-9, Math-11, Symbolic-Equal, Symbolic-Longer, Commonsense)
  • noise_type: The noise type (Clean, Irrelevant, Inaccurate)
  • difficulty: The difficulty level (Easy, Medium, Hard, or None for Clean samples)
  • demos: Chain-of-thought demonstrations containing example questions and answers
  • num_demo_thoughts: Average number of thinking steps in each demonstration
  • num_demo_noisy_thoughts: Average number of noisy thinking steps in each demonstration
  • noise_distribution: Type of noise distribution, e.g., 'fixed' or 'random'

Usage Examples

from datasets import load_dataset

# Load the entire dataset
dataset = load_dataset("TMLR-Group-HF/NoRa", cache_dir="./dataset_cache")

math11_examples = dataset["test"].filter(lambda example: example["task"] == "Math-11")
symbolic_equal_examples = dataset["test"].filter(lambda example: example["task"] == "Symbolic-Equal")
symbolic_longer_examples = dataset["test"].filter(lambda example: example["task"] == "Symbolic-Longer")
commonsense_examples = dataset["test"].filter(lambda example: example["task"] == "Commonsense")

# Filter by Split (noise type)
clean_examples = dataset["test"].filter(lambda example: example['noise_type'] == "Clean")
irrelevant_examples = dataset["test"].filter(lambda example: example['noise_type'] == "Irrelevant")
inaccurate_examples = dataset["test"].filter(lambda example: example['noise_type'] == "Inaccurate")

# Filter by Difficulty level
easy_examples = dataset["test"].filter(lambda example: example['difficulty'] == "Easy")
medium_examples = dataset["test"].filter(lambda example: example['difficulty'] == "Medium")
hard_examples = dataset["test"].filter(lambda example: example['difficulty'] == "Hard")

# Combined filtering
math9_irrelevant_hard = dataset["test"].filter(
    lambda example: example["task"] == "Math-9"
    and example['noise_type'] == "Irrelevant"
    and example['difficulty'] == "Hard"
)

# Get a single sample
sample = dataset["test"][0]
print(f"Question: {sample['question']}")
print(f"Answer: {sample['answer']}")
print(f"Task: {sample['task']}")
print(f"Demos: ------------------------------")
# Function to create n-shot demos
def get_n_shot_demos(example, n=3):
    demos = example['demos'].split('\n\n')[:n]
    demos_text = '\n\n'.join(demos)
    return demos_text
# Example of 3-shot prompt
demos = get_n_shot_demos(sample, n=3)
print(demos)
print(f"--------------------------------")
print(f"Noise Type: {sample['noise_type']}")
print(f"Difficulty: {sample['difficulty']}")

Citation

If you use the NoRa dataset, please cite the original paper:

@inproceedings{zhou2024can,
  title={Can Language Models Perform Robust Reasoning in Chain-of-thought Prompting with Noisy Rationales?},
  author={Zhou, Zhanke and Tao, Rong and Zhu, Jianing and Luo, Yiwen and Wang, Zengmao and Han, Bo},
  booktitle={The Thirty-eighth Annual Conference on Neural Information Processing Systems (NeurIPS 2024)},
  year={2024},
  url={https://openreview.net/pdf?id=FbuODM02ra}
}

Contact

For questions or feedback regarding the dataset, please visit the GitHub repository.

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