<|im_start|>system
You are a helpful assistant. You first thinks about the reasoning process in the mind and then provides the user with the answer.<|im_end|>
<|im_start|>user
Using the numbers [29, 63, 32, 15], create an equation that equals 97. Use basic arithmetic operations (+, -, *, /) and each number can only be used once. You should show your work in <think> </think> tags, and provide a correct equation as well as an incorrect equation. For example, a correct equation would be <answer> (63 + 32 - 29) / 15 = 6.16</answer>, and an incorrect equation could be <answer>(55 - 25) / 6 = 25. As you work out the logic behind creating the equation, write your steps in <think> </think> tags. Finally, return all the equations in a dictionary or a list with correct and incorrect equations.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>