
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
Given the following system of equations, find \(a \cdot b \cdot c \cdot d\):
\[
4a + 2b + 6c + 8d = 48 \\
4d + 2c = 2b \\
4b + 2c = 2a \\
c + 2 = d
\]

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