
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
Given that $a$, $b$, $c$ are real numbers, and the polynomial $x^3+ax^2+bx+c$ can be divided by the polynomial $x^2+3x-4$,  
(1) Find the value of $4a+c$;  
(2) Find the value of $2a-2b-c$;  
(3) If $a$, $b$, $c$ are integers, and $c \geq a > 1$, determine the values of $a$, $b$, $c$.

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