
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 cart rolls down a hill, traveling 5 inches in the first second. It accelerates so that during each successive 1-second interval, it travels 9 inches more than during the previous 1-second interval. The cart takes 40 seconds to reach the bottom of the hill. Calculate the total distance traveled by the cart, in inches.

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