
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) = 2^(x+1) defined on R, it can be represented as the sum of an even function g(x) and an odd function h(x). Let h(x) = t, and p(t) = g(2x) + 2mh(x) + m^2 - m - 1 (m∈R). If the equation p(p(t)) = 0 has no real roots, then the range of the real number m is _______.

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