
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
 $\boxed{A2}$  Find the maximum value of  $z+x$  if  $x,y,z$  are satisfying the given conditions. $x^2+y^2=4$   $z^2+t^2=9$   $xt+yz\geq 6$ 

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