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

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