jaival17/AMC23

AMC 2023 (RLVR format)

This dataset contains 40 problems from the 2023 AMC 12 (AMC 12A and AMC 12B), each with its final answer, in the verl-style RLVR (reinforcement learning with verifiable rewards) format. In our paper Adaptive Negative Reinforcement for LLM Reasoning: Dynamically Balancing Correction and Diversity in RLVR, it is one of our three evaluation benchmarks, of moderate difficulty between MATH and AIME 2025.

The file is an unmodified copy of the AMC23 evaluation data released by Zhu et al. with The Surprising Effectiveness of Negative Reinforcement in LLM Reasoning (NeurIPS 2025). The data_source field is TianHongZXY/amc23. We re-host the data so that our experiments can be reproduced with exactly the same file.

Evaluation only. This dataset is intended for evaluation. Do not train on it.

Dataset summary

Split	Problems	Use in our paper
test	40	Evaluation (Pass@k, k = 1 … 256, 256 samples per problem)

Source contest	Problems
2023 AMC 12A	22
2023 AMC 12B	18

The original AMC contests are multiple choice. Here each problem is posed without the answer choices, and the model must produce the numerical answer itself.

Because there are only 40 problems, one problem corresponds to 2.5 percentage points of Pass@k.

Data fields

Field	Type	Description
id	int	Problem id (0–39)
url	string	Link to the problem on the Art of Problem Solving wiki
data_source	string	Always "TianHongZXY/amc23"
prompt	list of {role, content}	Chat-format prompt: one user message containing the problem statement
ability	string	Always "math"
reward_model.style	string	Always "rule" (rule-based verifiable reward)
reward_model.ground_truth.question	string	Problem statement
reward_model.ground_truth.target	string	Final answer
extra_info.index	int	Index within the split
extra_info.split	string	Always "test"

No reference solutions are included. Solutions can be found through the url field.

Example

{
  "id": 0,
  "url": "https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_1",
  "data_source": "TianHongZXY/amc23",
  "prompt": [{"role": "user", "content": "Cities $A$ and $B$ are $45$ miles apart. Alicia lives in $A$ and Beth lives in $B$. Alicia bikes towards $B$ at 18 miles per hour. Leaving at the same time, Beth bikes toward $A$ at 12 miles per hour. How many miles from City $A$ will they be when they meet?"}],
  "ability": "math",
  "reward_model": {
    "style": "rule",
    "ground_truth": {
      "question": "Cities $A$ and $B$ are $45$ miles apart. ...",
      "target": "27"
    }
  },
  "extra_info": {"index": 0, "split": "test"}
}

Usage

from datasets import load_dataset

ds = load_dataset("<your-username>/AMC23-RLVR", split="test")
for row in ds:
    question = row["prompt"][0]["content"]
    answer = row["reward_model"]["ground_truth"]["target"]

In our experiments with Qwen2.5-Math-1.5B, the problem was wrapped in this chat template:

<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
{input}
Please reason step by step, and put your final answer
within \boxed{}.<|im_end|>
<|im_start|>assistant

Generation settings: temperature 0.6, top-p 0.95, 256 samples per problem. Pass@k was computed with the unbiased estimator of Chen et al. (2021).

Source and license

• Problems: 2023 AMC 12A and AMC 12B, © Mathematical Association of America (MAA). The problems are reproduced here for non-commercial research and evaluation. Copyright remains with the MAA.
• Problem text and links: Art of Problem Solving wiki.
• Preprocessing: Zhu et al. (2025), https://github.com/TianHongZXY/RLVR-Decomposed.

Citation

@inproceedings{zhu2025nsr,
  title     = {The Surprising Effectiveness of Negative Reinforcement in {LLM} Reasoning},
  author    = {Zhu, Xinyu and Xia, Mengzhou and Wei, Zhepei and Chen, Wei-Lin and Chen, Danqi and Meng, Yu},
  booktitle = {NeurIPS},
  year      = {2025}
}

Our paper:

@article{ingle2026adaptive,
  title  = {Adaptive Negative Reinforcement for {LLM} Reasoning: Dynamically Balancing Correction and Diversity in {RLVR}},
  author = {Ingle, Yash and Chauhan, Jaival and Yadav, Ankit and Mishra, Sudhakar},
  year   = {2026}
}

Code: A-NSR · CW-NSR