t-tech/ruMATH-500

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license: odc-by
---

# ruMath-500

## 📝 Dataset Summary

**ruMath-500** is a Russian translation of the **math-500** benchmark: a curated set of **500** challenging math reasoning problems spanning precalculus, algebra, geometry, number theory, calculus, combinatorics, and more. The dataset preserves the structure and format of the original English **math-500**, enabling cross-lingual evaluation and multilingual mathematical reasoning research.

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## 📁 Dataset Structure

### **Data Fields**

| Field | Type | Description |
|--------------|----------|-------------|
| `subject` | `string` | High-level topic label (e.g., `"Precalculus"`, `"Algebra"`). |
| `level` | `int` | Difficulty level assigned by the original benchmark. |
| `unique_id` | `string` | Stable identifier mirroring original file paths, such as `"test/precalculus/807.json"`. |
| `problem` | `string` | Russian-translated problem statement, containing LaTeX. |
| `answer` | `string` | Canonical answer in LaTeX format. |
| `solution` | `string` | Full step-by-step explanation in Russian (may include Asymptote diagrams). |

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## 🔍 Example Entry

```json
{
"subject": "Precalculus",
"level": 2,
"unique_id": "test/precalculus/807.json",
"answer": "\\left( 3, \\frac{\\pi}{2} \\right)",
"problem": "Преобразуйте точку $(0,3)$ из декартовых координат в полярные координаты. Введите свой ответ в виде $(r,\\theta),$ где $r > 0$ и $0 \\le \\theta < 2 \\pi.$",
"solution": "У нас $r = \\sqrt{0^2 + 3^2} = 3.$ Также, если мы проведём линию, соединяющую начало координат и $(0,3),$ эта линия образует угол $\\frac{\\pi}{2}$ с положительной осью $x$.\n\n[asy]\nunitsize(0.8 cm);\n\ndraw((-0.5,0)--(3.5,0));\ndraw((0,-0.5)--(0,3.5));\ndraw(arc((0,0),3,0,90),red,Arrow(6));\n\ndot((0,3), red);\nlabel(\"$(0,3)$\", (0,3), W);\ndot((3,0), red);\n[/asy]\n\nТаким образом, полярные координаты равны $\\boxed{\\left( 3, \\frac{\\pi}{2} \\right)}.$"
}
```