
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
Let \( S \) be the solid consisting of all points \( (x, y, z) \) such that \( |x| + |y| + |z| \le 1.5 \), \( |x| + |y| \le 1 \), and \( |z| \le 0.5 \). Find the volume of \( S \).

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