
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
Define a function $f(x)$ on $\mathbb{R}$ that satisfies the following conditions simultaneously: $f(x) + f(-x) = 0$; $f(x) = f(x + 2)$; when $0 \leqslant x < 1$, $f(x) = 2x - 1$. Then, the value of $f\left( \dfrac {1}{2}\right) + f(1) + f\left( \dfrac {3}{2}\right) + f\left( \dfrac {5}{2}\right) = \_\_\_\_\_\_$.

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