Math-IIO-Mini

# Mathematics Dataset for AI Model Training

This dataset contains **500 rows** of mathematical questions and their corresponding solutions. It is designed for training AI models capable of solving mathematical problems or providing step-by-step explanations for a variety of mathematical concepts. The dataset is structured into three columns: **input**, **instruction**, and **output**.

## Dataset Overview

- **Input**: A mathematical question or problem statement (e.g., arithmetic, algebra, calculus, geometry, or mathematical constants).
- **Instruction**: A generic prompt instructing the AI to solve the problem and provide the correct answer.
- **Output**: The solution or response to the input question.

### Example Rows

| **Input** | **Instruction** | **Output** |
|-------------------------------------|------------------------------------------------------------------|-----------------------------------------|
| What is 15 + 32? | Solve the mathematical question and provide the correct answer. | The answer is 47. |
| Find the derivative of x² + 4x. | Solve the mathematical question and provide the correct answer. | The derivative is 2x + 4. |
| What is the area of a circle with radius 7? | Solve the mathematical question and provide the correct answer. | The area is approximately 153.938 square units. |
| Simplify the expression: 3x + 7x. | Solve the mathematical question and provide the correct answer. | The simplified expression is 10x. |

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## Dataset Features

### Columns
1. **Input**: The mathematical problem or query (string format).
2. **Instruction**: A static instruction prompting the AI to solve the question.
3. **Output**: The solution or explanation provided for the question (string format).

### Problem Categories
The dataset includes the following categories:
- **Arithmetic**: Basic addition, subtraction, multiplication, and division problems.
- **Algebra**: Simplification of expressions, solving equations, etc.
- **Calculus**: Derivatives, integrals, and basic calculus concepts.
- **Geometry**: Area, perimeter, and other geometric calculations.
- **Mathematical Constants**: Queries about constants like π, e, etc.

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## Applications

This dataset is suitable for:
- Training natural language models for mathematics tutoring or assistance.
- Fine-tuning language models like GPT on mathematical reasoning tasks.
- Building educational chatbots capable of solving math problems.

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## File Format

The dataset is saved in **CSV format** with the following structure:

| **input** | **instruction** | **output** |
|------------------------|-----------------------------------------------------------|---------------------|
| What is 12 + 35? | Solve the mathematical question and provide the correct answer. | The answer is 47. |

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# 用于AI模型训练的数学数据集
本数据集包含**500行**数学题目及其对应解答，旨在为可求解数学问题或为各类数学概念提供分步解释的AI模型提供训练支持。数据集采用三列结构：**输入（input）**、**指令（instruction）**与**输出（output）**。

## 数据集概览
- **输入（input）**：数学题目或问题描述（例如算术、代数、微积分、几何或数学常数相关问题）。
- **指令（instruction）**：通用提示，用于指示AI求解问题并给出正确答案。
- **输出（output）**：针对输入问题的解答或响应。

### 示例行
| **输入（input）** | **指令（instruction）** | **输出（output）** |
|-------------------------------------|------------------------------------------------------------------|-----------------------------------------|
| 15加32等于多少？ | 求解该数学题目并给出正确答案。 | 答案为47。 |
| 求x² + 4x的导数。 | 求解该数学题目并给出正确答案。 | 导数为2x + 4。 |
| 半径为7的圆的面积是多少？ | 求解该数学题目并给出正确答案。 | 面积约为153.938平方单位。 |
| 化简表达式：3x + 7x。 | 求解该数学题目并给出正确答案。 | 化简后的表达式为10x。 |

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## 数据集特征
### 列信息
1. **输入（input）**：数学问题或查询（字符串格式）。
2. **指令（instruction）**：用于提示AI求解问题的静态指令。
3. **输出（output）**：针对该问题的解答或解释（字符串格式）。

### 题目分类
本数据集涵盖以下类别：
- **算术（Arithmetic）**：基础加、减、乘、除运算题目。
- **代数（Algebra）**：表达式化简、方程求解等内容。
- **微积分（Calculus）**：导数、积分及基础微积分概念。
- **几何（Geometry）**：面积、周长及其他几何计算问题。
- **数学常数（Mathematical Constants）**：关于π、e等数学常数的查询。

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## 应用场景
本数据集适用于：
- 训练用于数学辅导或答疑的自然语言模型。
- 针对数学推理任务微调GPT等大语言模型（Large Language Model）。
- 搭建可求解数学问题的教育聊天机器人。

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## 文件格式
本数据集以**CSV（Comma-Separated Values）格式**存储，结构如下：

| **输入（input）** | **指令（instruction）** | **输出（output）** |
|------------------------|-----------------------------------------------------------|---------------------|
| 12加35等于多少？ | 求解该数学题目并给出正确答案。 | 答案为47。 |

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