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Algebraic calculation problems are frequently used in research literature to demonstrate the capabilities of Chain-of-Thought (CoT) prompting. This type of problem serves as a clear example of how CoT can guide a model through a task by breaking it down into manageable, intermediate steps.

Application of CoT to Algebraic Calculation Problems

A simple algebraic problem commonly used to illustrate Chain-of-Thought (CoT) prompting is the task of calculating the average of a given set of numbers, for instance, the numbers 2, 4, and 6.

Example of an Algebraic Problem for CoT Illustration

A large language model is given the following word problem: 'A bakery sells muffins for $3 each and cookies for $2 each. If a customer buys 5 muffins and 4 cookies, what is the total cost?' The model produces two different responses based on two different prompting methods.

**Response A:** 'The total cost is $22.'

**Response B:**
1. Calculate the cost of the muffins: 5 muffins * $3/muffin = $15.
2. Calculate the cost of the cookies: 4 cookies * $2/cookie = $8.
3. Add the two costs together: $1

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