Is the word resolver the same in Brazilian and European Portuguese?

No

While the core definition of the word remains the same, there are significant differences in typical usage, grammar, and pronunciation:

• Usage: In Brazil, "resolver" is used broadly to mean "to handle," "to deal with," or "to take care of" a task or situation. In Portugal, "resolver" is more specifically reserved for solving a problem, a conflict, or a puzzle. For general tasks or "handling" matters, a Portuguese person would naturally use the verb tratar de.
• Grammar: There are subtle differences in how the word interacts with the rest of the sentence. For example, in Portugal, verbs like precisar almost always require the preposition de ("preciso de resolver"), whereas Brazilians frequently omit it ("preciso resolver"). Additionally, the usage of demonstrative pronouns (este vs. esse) differs in frequency and strictness.
• Pronunciation: Brazilian Portuguese features more open vowels and a rhythmic, syllable-timed flow. Continental Portuguese is more stress-timed, meaning unstressed vowels are often reduced or nearly silent, making the word sound much more "closed" or clipped.

Brazilian Portuguese Examples

1. "Eu vou resolver isso agora mesmo." (I'll handle this right now.)
2. "Precisamos resolver as pendências do projeto." (We need to resolve the project's pending issues.)
3. "Ele resolveu largar o emprego." (He decided to quit his job.)
4. "Como vamos resolver esse problema?" (How are we going to solve this problem?)
5. "Ela resolveu tudo sozinha." (She handled everything by herself.)

Portuguese (Portugal) Examples

1. "Eu vou tratar disso agora mesmo." (I'll handle this right now.)
2. "Precisamos de resolver as pendências do projeto." (We need to resolve the project's pending issues.)
3. "Ele decidiu largar o emprego." (He decided to quit his job.)
4. "Como vamos resolver este problema?" (How are we going to solve this problem?)
5. "Ela tratou de tudo sozinha." (She took care of everything by herself.)