
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
(1) To make the line $l_1$: $(2m^2+m-3)x+(m^2-m)y=2m$ parallel to the line $l_2$: $x-y=1$, find the value of $m$.  
(2) The line $l_1$: $ax+(1-a)y=3$ is perpendicular to the line $l_2$: $(a-1)x+(2a+3)y=2$, find the value of $a$.

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