
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
The parabola $Q$ has focus $(0,0)$ and passes through the points $(6,2)$ and $(-6,-2)$. Determine how many integer coordinate points $(x,y) \in Q$ satisfy $|4x + 3y| \leq 1200$.
A) 756
B) 758
C) 760
D) 762
E) 764

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