
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) = (x - a - 1)e^x - 1/2x^2 + ax,

1. Discuss the monotonicity of f(x);
2. If there exists x0 ∈ [1, 2] such that f(x0) < 0, find the range of values for a.

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