
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
Calculate:<br/>$(1)|{-2\frac{1}{4}}|-({-\frac{3}{4}})+1-|{1-\frac{1}{2}}|$<br/>$(2)-{3^2}-[{8÷{{(-2)}^3}-1}]+3÷2×\frac{1}{2}$；

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