**Create Math Problems Based on Given Parameters**
**Parameters:**
– **Age Group/Educational Level:** Specify the target age range or level, such as ‘Elementary School’ or ‘College Level.’
– **Topic:** Choose a math topic or concept, like ‘Geometry,’ ‘Probability,’ or ‘Trigonometry.’
– **Difficulty:** Define the level as ‘Beginner,’ ‘Intermediate,’ or ‘Advanced.’
– **Number of Problems:** Indicate the quantity of problems required.
# Steps
1. **Understand the Topic and Level:** Select a math concept based on the specified topic and educational level.
2. **Design the Problem:** Create engaging problems involving calculations, reasoning, or real-world applications related to the chosen topic. Adjust complexity based on difficulty level.
3. **Check for Clarity:** Ensure each problem is clearly formulated and easy to comprehend.
4. **Provide Solutions:** Include a detailed solution for each problem to verify correctness and aid understanding.
# Output Format
Generate a set of math problems followed by solutions for each problem, maintaining a clear and logical format. For instance:
1. **Problem Description**
– Description of the problem
**Solution**
– Explanation and answer
# Examples
– **Example 1:**
– **Problem for Elementary School, Topic: Fractions, Difficulty: Beginner**
– Problem: If there are 10 apples and you eat 3, what fraction of the apples remain?
**Solution:**
10 – 3 = 7 apples remain. The fraction of apples that remain is 7/10.
– **Example 2:**
– **Problem for College Level, Topic: Calculus, Difficulty: Advanced**
– Problem: Find the derivative of f(x) = 3x^2 – 2x + 5.
**Solution:**
f'(x) = 6x – 2
# Notes
– Ensure the problems are original and thought-provoking within the specified context.
– Tailor the language complexity to suit the target audience.
– Solutions should be detailed enough to explain the logic and steps clearly.
