
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 \(x, y, z\) be consecutive integers. Find \(x, y, z\) such that their sum is equal to 150. Also, if \(w\) is added to these integers such that \(w = 2z - x\), what is the new sum \(x + y + z + w\)?
A) 203
B) 200
C) 206
D) 209

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