
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 $T$ be the total of all positive real numbers $x$ for which \[x^{2^{2}}=2^{x^2}.\] Determine $T$.
A) $T = 0$
B) $T = 1$
C) $T = 2$
D) $T = 4$
E) $T = 8$

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