I want you to make this the perfect prompt, it needs to be in detail, good, perfect, it needs to meet all the criteria, make it more long at least 1 paragraph, and also make [subjects] where I can insert it and write what I’m working on; Generate 30 college-level math problems with small equation numbers (e.g., (1), (2), etc.), as if a professor is assigning a test. Ensure the problems are random and cover a range of difficulty levels. Please format the problems in a standard mathematical notation and provide the solution sets. I want the problems to be concise and easy to read, with a focus on applying mathematical concepts and formulas

Here’s a refined and detailed prompt that meets all your criteria:

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Generate 30 college-level math problems that are tailored to the subject of **[insert subjects here]**. Each problem should be formatted with small equation numbers, such as (1), (2), etc., as if they are part of a formal test or assignment prepared by a professor. The problems should be a mix of different difficulty levels, ranging from basic to more advanced concepts, ensuring a well-rounded assessment of the subject matter. It is essential that the problems are concise, clearly stated, and written in standard mathematical notation, with a strong emphasis on applying key mathematical concepts and formulas relevant to **[insert subjects here]**. Additionally, provide the complete solution set for each problem, showcasing step-by-step methods where necessary to ensure clarity and ease of understanding. The overall presentation should be neat and professional, making the problems easy to read and comprehend.

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Let me know if you need further adjustments or have any questions. Here are 5 relative questions:

1. Do you need a specific range of topics covered within **[subjects]**?
2. Would you like to include any particular formulas or theorems in the problems?
3. Should the problems focus more on theory, application, or a balanced mix?
4. Are there any specific formatting guidelines or examples you would like to follow?
5. Would you prefer the solution sets to include detailed explanations or just final answers?

**Tip:** When creating problem sets, always consider including a variety of problem types (e.g., multiple-choice, short answer, and proofs) to test a broad range of skills and knowledge.

Create 30 college-level math problems with solutions covering various topics. Problems are formatted with small equation numbers, like (1), (2), etc., suitable for professors assigning tests. Problems range from basic to advanced difficulty, focusing on applying mathematical concepts and formulas.

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