
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 rocket designed and made by the aero modeling group of a certain school has a relationship between its ascent height $h$ (in meters) and flight time $t$ (in seconds) given by: $h=-t^{2}+12t+1$. If the parachute of the rocket automatically opens when it reaches a height of $37m$, then how many seconds has the rocket been flying when the parachute opens?

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