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# AMC12 Dataset (Research-Oriented)
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A structured dataset derived from the AMC 12 (American Mathematics Competitions), designed for **LLM training, evaluation, and reinforcement learning (RL)** on mathematical reasoning tasks.
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This repository contains **all AMC 12 problems from 2000–2025**, making it one of the most complete AMC12 datasets available for research.
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---
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## 📘 Introduction
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The AMC 12 is a **25-question, 75-minute multiple-choice examination** aimed at high school students. Problems are designed to **increase in difficulty progressively**, requiring a combination of algebra, geometry, combinatorics, and number theory reasoning.
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* **Format:** 25 multiple-choice questions (A–E)
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* **Duration:** 75 minutes
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* **Difficulty progression:** Problems 1 → 25 increase in complexity
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* **Calculator policy:**
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* Since 2008, calculators are **not permitted**
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* Problems are designed to be solvable without computational aids
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Top-performing students (~top 6%) are invited to participate in the AIME, making AMC 12 a strong proxy for **high-level mathematical reasoning ability**.
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---
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## 📦 Dataset Overview
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Each sample corresponds to a single AMC 12 problem instance, represented in a **structured, model-ready format**.
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### Difficulty Structure
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We adopt a coarse-grained difficulty approximation aligned with problem order:
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| Problem Range | Difficulty |
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| ------------- | --------------- |
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| 1–10 | Easy–Medium (2) |
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| 11–20 | Medium–Hard (3) |
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| 21–25 | Hard (4) |
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This structure enables:
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* Curriculum learning
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* Difficulty-aware evaluation
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* Model capability stratification
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---
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## 🚀 Why This Dataset?
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### Compared to Other Math Datasets
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* **Not heavily pretrained**
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Unlike datasets such as GSM8K, AMC-style problems are less likely to be memorized by models
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* **Higher reasoning complexity**
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Problems typically require **multi-step, structured reasoning**, often exceeding datasets like MATH500
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* **Clean evaluation signal**
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* Multiple-choice format eliminates ambiguity
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* No unit mismatch issues (e.g., “8 months vs 240 days”)
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* **Fully verifiable**
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Every problem has a **unique, discrete answer**, ideal for RL reward design
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---
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### Compared to Other AMC Datasets
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* **Complete coverage (2000–2025)**
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Includes all AMC12A and AMC12B problems across 25 years
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* **Fully indexed & traceable**
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Each problem maps directly to its original contest and position
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* **Structured for ML pipelines**
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Ready for:
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* RL training (PPO / GRPO)
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* Pass@k evaluation
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* Verifier-based reward systems
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---
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## 📚 Data Source & Attribution
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This dataset is curated from publicly available resources, with primary reference to:
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* Art of Problem Solving
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All AMC problems are **copyrighted by the Mathematical Association of America (MAA)** under the American Mathematics Competitions program.
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This repository does **not claim ownership** of the original problem statements and provides them solely for research and educational purposes.
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