
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
 $25.$  Let  $C$  be the answer to Problem  $27.$  What is the  $C$ -th smallest positive integer with exactly four positive factors? $26.$  Let  $A$  be the answer to Problem  $25.$  Determine the absolute value of the difference between the two positive integer roots of the quadratic equation  $x^2-Ax+48=0$   $27.$  Let  $B$  be the answer to Problem  $26.$  Compute the smallest integer greater than  $\frac{B}{\pi}$ 

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