
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
Determine the constant $k$ such that the equations \( y = x^2 - x + 1 \) and \( y = 4x + k \) intersect with exactly one solution point.
A) \( -\frac{21}{4} \)
B) \( -\frac{25}{4} \)
C) \( -\frac{9}{4} \)
D) \( \frac{21}{4} \)

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