
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
Given the function $f(x)=a\ln x-bx^{2}(x > 0)$.
(1) If the function $f(x)$ is tangent to the line $y=- \frac {1}{2}$ at $x=1$, find the maximum value of the function $f(x)$ on $\[ \frac {1}{e},e\]$.
(2) When $b=0$, if the inequality $f(x)\geqslant m+x$ holds for all $a\in\[1, \frac {3}{2}\]$, $x\in\[1,e^{2}\]$, find the range of values for the real number $m$.

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