
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
Which of the following cannot be equal to  $x^2 + \dfrac 1{4x}$  where  $x$  is a positive real number? $ 
\textbf{a)}\ \sqrt 3 -1 
\qquad\textbf{b)}\ 2\sqrt 2 - 2
\qquad\textbf{c)}\ \sqrt 5 - 1
\qquad\textbf{d)}\ 1
\qquad\textbf{e)}\ \text{None of above}
$ 

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