
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 it's observed that the noise of the stone hitting the bottom is heard 9.5 seconds later. Assume the stone descends according to the equation $d = 20t^2$ feet in $t$ seconds, and the velocity of sound is 1000 feet per second. Determine the depth of the well.

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