
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 $a$ be a real number, and the function $f(x) = x^2 e^{1-x} - a(x - 1)$.

(1) When $a = 1$, find the extreme values of $f(x)$ on the interval $(\frac{3}{4}, 2)$.

(2) Let $g(x) = f(x) + a(x - 1 - e^{1-x})$. When $g(x)$ has two extreme points $(x_1, x_2)$ ($x_1 < x_2$), there always exists $x_2 g(x_1) \leq \lambda f'(x_1)$. Find the range of values for the real number $\lambda$.

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