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An example of a simple role-playing prompt for a mathematical task is:

`You are a mathematician. You will be provided with a math problem. Please solve the problem.`

This prompt assigns an expert persona to the LLM to frame the interaction, but it does not explicitly instruct the model to show its reasoning steps.

Example of a Role-Playing Prompt for a Mathematical Task

Consider the following instruction given to a large language model: 'You are a mathematician. You will be provided with a math problem. Please solve the problem.' A user finds that the model often provides only the final answer without any explanation. Briefly explain why this instruction is insufficient for the user's goal of understanding the solution process, and then rewrite the instruction to explicitly request a step-by-step explanation.

Improving a Role-Playing Prompt

A user provides a language model with the following instruction and problem. Analyze why the model's response, while factually correct, might be considered unhelpful for a user who is trying to learn the problem-solving process.

Analyzing Language Model Output for a Mathematical Task

A user provides the following instruction to a large language model to get help with a math problem: 'You are a mathematician. You will be provided with a math problem. Please solve the problem.' The user's goal is to receive both the final answer and a clear explanation of how the answer was reached. Which of the following statements best analyzes the primary limitation of this instruction for achieving the user's full goal?

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