
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 real numbers such that $x^2 + 3y = 4$, $y^2 - 5z = 5,$ and $z^2 - 7x = -8$. Find the value of $x^2 + y^2 + z^2$.
A) 14
B) 20.75
C) 21
D) 28
E) 35

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