AoPS: Art of Problem Solving Competition Mathematics

Dataset Description

This dataset is a collection of 80,661 competition mathematics problems and solutions obtained from the Art of Problem Solving (AoPS) community wiki and forums. It covers a wide range of mathematical contests and olympiads, including problems from events such as AIME, BAMO, IMO, and various national and memorial competitions.

The dataset was curated by AI-MO (Project Numina), an initiative focused on building AI systems capable of mathematical reasoning at the olympiad level.

Dataset Structure

Fields

Column	Type	Description
problem	string	The mathematical problem statement, typically formatted in LaTeX.
solution	string	A solution or proof for the problem. May be empty for some entries.
candidates	list[string]	Alternative or candidate solutions contributed by the community.
tags	list[string]	Metadata tags indicating the origin, contest name, and year (e.g., "origin:aops", "2022 AIME Problems").
metadata	dict	Additional metadata about the problem (see below).

Metadata Fields

Field	Type	Description
answer_score	int64	Community score or rating of the answer.
boxed	bool	Whether the answer contains a boxed final result (e.g., \boxed{42}).
end_of_proof	bool	Whether the solution includes a complete proof ending.
n_reply	int64	Number of community replies or comments on the problem thread.
path	string	Source path in the AoPS collection (e.g., Contest Collections/2022 Contests/...).

Splits

Split	Examples
train	80,661

Example

{
    "problem": "Let $ABC$ be an acute triangle with altitude $AD$ ($D \\in BC$). The line through $C$ parallel to $AB$ meets the perpendicular bisector of $AD$ at $G$. Show that $AC = BC$ if and only if $\\angle AGC = 90°$.",
    "solution": "...",
    "candidates": ["..."],
    "tags": ["origin:aops", "2022 Contests", "2022 3rd Memorial \"Aleksandar Blazhevski-Cane\""],
    "metadata": {
        "answer_score": 130,
        "boxed": false,
        "end_of_proof": true,
        "n_reply": 3,
        "path": "Contest Collections/2022 Contests/2022 3rd Memorial .../2759376.json"
    }
}

Topic Coverage

Problems span a broad range of competition mathematics topics, including:

• Geometry -- triangle properties, cyclic quadrilaterals, angle chasing
• Number Theory -- divisibility, modular arithmetic, Diophantine equations
• Algebra -- inequalities, polynomials, functional equations
• Combinatorics -- counting, graph theory, board coloring problems

Usage

from datasets import load_dataset

dataset = load_dataset("AI-MO/aops")

# Access a problem
print(dataset["train"][0]["problem"])
print(dataset["train"][0]["solution"])

Intended Use

• Training and evaluating mathematical reasoning models
• Benchmarking LLMs on competition-level mathematics
• Studying solution quality and problem difficulty distributions
• Building retrieval-augmented generation (RAG) systems for math tutoring

Source

All problems and solutions originate from the Art of Problem Solving community.