
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that the distance traveled was 450 miles, the distance traveled back was 440 miles, and the original wheel radius was 15 inches, find the increase in the wheel radius, correct to the nearest hundredth of an inch.

Present the answer in LaTex format: \boxed{Your answer}
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