
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 the universal set be $Z$, $A=\{x|x^2+2x-15=0\}$, $B=\{x|ax-1=0\}$.
(1) If $a= \frac {1}{5}$, find $A\cap (\complement_Z B)$;
(2) If $B \subseteq A$, find the set $C$ consisting of the values of the real number $a$.

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