
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 stone is dropped into a well, and the sound of the stone hitting the bottom is heard 7.7 seconds later. If the distance fallen by the stone in \( t \) seconds is \( 16t^2 \) feet, and the speed of sound is 1120 feet per second, calculate the depth of the well.

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