
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
A ball is dropped from a height of 150 feet and rebounds to three-quarters of the height it falls each time it hits the ground. Calculate the total distance the ball will have traveled when it hits the ground for the fifth time.

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