
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
A point $Q$ has coordinates $(a, b)$ such that the distance from the origin $O$ to $Q$ is noted $d$. Define $u = \frac{b}{d}$ and $v = \frac{a}{d}$. Determine the possible values of $u^2 + v^2$.
A) 0
B) 1
C) between 0 and 1
D) -1
E) None of the above

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