
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 ball is thrown vertically upward from a platform 30 feet high with an initial velocity such that the elevation $s$ (in feet) after $t$ seconds is given by $s = 30 + 180t - 20t^2$. What is the maximum height reached by the ball?
A) 800 feet
B) 450 feet
C) 435 feet
D) 400 feet
E) 500 feet

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