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README.md
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- split: train
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path: data/train-*
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---
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- split: train
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path: data/train-*
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---
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# AoPS: Art of Problem Solving Competition Mathematics
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## Dataset Description
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This dataset is a collection of **80,661** competition mathematics problems and solutions obtained from the [Art of Problem Solving (AoPS)](https://artofproblemsolving.com/) 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.
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The dataset was curated by [AI-MO (Project Numina)](https://huggingface.co/AI-MO), an initiative focused on building AI systems capable of mathematical reasoning at the olympiad level.
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## Dataset Structure
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### Fields
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| Column | Type | Description |
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|---|---|---|
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| `problem` | `string` | The mathematical problem statement, typically formatted in LaTeX. |
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| `solution` | `string` | A solution or proof for the problem. May be empty for some entries. |
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| `candidates` | `list[string]` | Alternative or candidate solutions contributed by the community. |
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| `tags` | `list[string]` | Metadata tags indicating the origin, contest name, and year (e.g., `"origin:aops"`, `"2022 AIME Problems"`). |
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| `metadata` | `dict` | Additional metadata about the problem (see below). |
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### Metadata Fields
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| Field | Type | Description |
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|---|---|---|
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| `answer_score` | `int64` | Community score or rating of the answer. |
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| `boxed` | `bool` | Whether the answer contains a boxed final result (e.g., `\boxed{42}`). |
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| `end_of_proof` | `bool` | Whether the solution includes a complete proof ending. |
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| `n_reply` | `int64` | Number of community replies or comments on the problem thread. |
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| `path` | `string` | Source path in the AoPS collection (e.g., `Contest Collections/2022 Contests/...`). |
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### Splits
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| Split | Examples |
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|---|---|
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| `train` | 80,661 |
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## Example
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```python
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{
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"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 $\\angle AGC = 90°$.",
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"solution": "...",
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"candidates": ["..."],
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"tags": ["origin:aops", "2022 Contests", "2022 3rd Memorial \"Aleksandar Blazhevski-Cane\""],
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"metadata": {
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"answer_score": 130,
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"boxed": false,
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"end_of_proof": true,
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"n_reply": 3,
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"path": "Contest Collections/2022 Contests/2022 3rd Memorial .../2759376.json"
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}
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}
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```
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## Topic Coverage
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Problems span a broad range of competition mathematics topics, including:
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- **Geometry** -- triangle properties, cyclic quadrilaterals, angle chasing
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- **Number Theory** -- divisibility, modular arithmetic, Diophantine equations
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- **Algebra** -- inequalities, polynomials, functional equations
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- **Combinatorics** -- counting, graph theory, board coloring problems
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## Usage
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```python
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from datasets import load_dataset
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dataset = load_dataset("AI-MO/aops")
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# Access a problem
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print(dataset["train"][0]["problem"])
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print(dataset["train"][0]["solution"])
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```
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## Intended Use
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- Training and evaluating mathematical reasoning models
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- Benchmarking LLMs on competition-level mathematics
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- Studying solution quality and problem difficulty distributions
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- Building retrieval-augmented generation (RAG) systems for math tutoring
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## Source
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All problems and solutions originate from the [Art of Problem Solving](https://artofproblemsolving.com/) community.
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