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Dataset Card for "LiveMathBench"

Introduction

LiveMathBench is an mathematical dataset, specifically designed to include challenging latest question sets from various mathematical competitions, aiming to avoid data contamination issues in existing LLMs and public math benchmarks.

Leaderboard

The Latest leaderboard is provided in our leaderboard.

Data

v202412

The 202412 version of LiveMathBench contains 238 mathematical questions from the China National Mathematical Olympiad (CNMO), the China’s College Entrance Examination (CCEE), the American Mathematics Competition (AMC), and the William Lowell Putnam Mathematical Competition (WLPMC).

Here is an example:

    question: A sequence $y_1,y_2,\dots,y_k$ of real numbers is called \emph{zigzag} if $k=1$, or if $y_2-y_1, y_3-y_2, \dots, y_k-y_{k-1}$ are nonzero and alternate in sign. Let $X_1,X_2,\dots,X_n$ be chosen independently from the uniform distribution on $[0,1]$. Let $a(X_1,X_2,\dots,X_n)$ be the largest value of $k$ for which there exists an increasing sequence of integers $i_1,i_2,\\dots,i_k$ such that $X_{i_1},X_{i_2},\dots,X_{i_k}$ is zigzag. Find the expected value of $a(X_1,X_2,\dots,X_n)$ for $n \geq 2$.	
    answer: $\frac{2n+2}{3}$	
    question_type: Problem-Solving

Citation:

@article{liu2024your,
  title={Are Your LLMs Capable of Stable Reasoning?},
  author={Liu, Junnan and Liu, Hongwei and Xiao, Linchen and Wang, Ziyi and Liu, Kuikun and Gao, Songyang and Zhang, Wenwei and Zhang, Songyang and Chen, Kai},
  journal={arXiv preprint arXiv:2412.13147},
  year={2024}
}
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