
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
If \[ \begin {eqnarray*} x + y + z + w = 20  y + 2z - 3w = 28  x - 2y + z = 36  -7x - y + 5z + 3w = 84 \]then what is  $(x,y,z,w)$ ?

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