Tým se snaží vyřešit hádanku.

Tým means team.

It is pronounced roughly like teem in English, but with a long ý, so the vowel is held a bit longer. The ý is just a long ee sound.

So:

• tým = team
• pronunciation ≈ teem

Se is a reflexive particle. Many Czech verbs are used together with se as part of their normal form.

Here, the verb is:

• snažit se = to try

So you should learn it as a unit, not as snažit alone in this meaning.

Examples:

• Snažím se. = I’m trying.
• Snaží se. = He/She/It is trying or They are trying, depending on context

In this sentence, se does not mean himself/herself in a literal English sense. It is just part of the verb snažit se.

In neutral Czech word order, the reflexive particle se usually comes early in the sentence, often right after the first element.

So:

• Tým se snaží vyřešit hádanku. = natural, neutral word order

Czech word order is flexible, but se tends to take this second-position placement.

That is why Tým se snaží... sounds normal.

Snaží is the 3rd person singular form of snažit se in the present tense.

Full pattern:

• já se snažím = I try / I am trying
• ty se snažíš = you try
• on/ona/ono se snaží = he/she/it tries
• my se snažíme = we try
• vy se snažíte = you try
• oni se snaží = they try

Since tým is singular, the verb is also singular:

• Tým se snaží = The team is trying

Because after snažit se (to try), Czech commonly uses another verb in the infinitive:

• snažit se + infinitive
• to try + infinitive

So:

• snaží se vyřešit = is trying to solve

This works just like English:

• They are trying to help.
• Snaží se pomoci.

This is about aspect, which is very important in Czech.

• řešit = to solve / be solving / work on solving
  
  • imperfective
  • focuses on the process
• vyřešit = to solve completely / to solve successfully
  
  • perfective
  • focuses on reaching the result

So in your sentence:

• snaží se vyřešit hádanku = they are trying to solve the puzzle
  with emphasis on actually getting it solved

If you said snaží se řešit hádanku, that would sound more like they are trying to work on / deal with the puzzle, with less focus on completion.

Because hádanku is the accusative singular form of hádanka.

• hádanka = puzzle, riddle
  
  • dictionary form, nominative singular
• hádanku = puzzle, riddle
  
  • accusative singular, used as the direct object

In this sentence, the puzzle is what the team is trying to solve, so it is the direct object.

Pattern for many feminine nouns ending in -a:

• nominative: -a
• accusative: -u

Examples:

• žena → ženu
• otázka → otázku
• hádanka → hádanku

It can mean either, depending on context.

Most often, hádanka is something like:

• a riddle
• a brain teaser
• a puzzle

If the broader context is about wordplay or guessing, riddle may fit better. If it is about a problem or brain teaser, puzzle works well.

Czech has no articles like English a/an/the.

So hádanku can mean:

• a puzzle
• the puzzle

The exact meaning depends on context.

Likewise:

• Tým can mean a team or the team, depending on the situation

English requires articles, but Czech usually does not.

Yes. Czech word order is flexible, although some versions are more neutral than others.

The basic neutral version is:

• Tým se snaží vyřešit hádanku.

But you could also see other orders for emphasis, such as:

• Hádanku se tým snaží vyřešit.
  Emphasizes the puzzle
• Vyřešit hádanku se tým snaží.
  Emphasizes the act of solving it

Even when the word order changes, the case endings still show who is doing what, so the meaning stays clear.

Because Czech verbs usually show the person and number clearly enough on their own, so subject pronouns are often omitted unless needed for emphasis.

Here, the subject is already expressed as Tým, so no extra pronoun is needed.

Czech would not normally say something like:

• Tým on se snaží...

That would be unnecessary.

Grammatically, tým is singular.

Even though a team contains many people, the noun itself is singular, so the verb is singular too:

• Tým se snaží... = singular

This is similar to English the team is trying, especially in American English. In British English, people sometimes say the team are trying, but Czech normally treats tým as singular here.