
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
In Downtown Denver, CO, the temperature throughout the day was modeled by the polynomial $-2t^2 + 16t + 40$, where $t$ is the hours past noon. An observer wants to determine the earliest and latest times at which the temperature was exactly 60 degrees. Which $t$ value represents the latest time at which the temperature hits 60 degrees?

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