
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 a linear function $y = (2m+1)x + m - 2$,

(1) If the graph of the function passes through the origin, find the value of $m$;  
(2) If the graph of the function has a y-intercept of -3, find the value of $m$;  
(3) If the graph of the function is parallel to the line $y = x + 1$, find the value of $m$;  
(4) If the graph of the function does not pass through the second quadrant, find the range of $m$.

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