
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) Calculate: $(1)-27+(-32)+(-8)+27$
(2) Calculate: $(2)(-5)+|-3|$
(3) If the opposite number of $x$ is $3$, and $|y|=5$, find the value of $x+y$.
(4) Calculate: $(-1 \frac{1}{2})+(+1 \frac{1}{4})+(-2 \frac{1}{2})-(-3 \frac{1}{4})-(+1 \frac{1}{4})$
(5) If $|a-4|+|b+5|=0$, find $a-b$.

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