Nem emlékszem pontosan, hol van a jegypénztár.

Emlékszem means I remember or I recall.

Its dictionary form is emlékezik, meaning to remember. In this sentence, emlékszem is the first person singular form: I remember.

So:

• emlékezik = to remember
• emlékszem = I remember

Hungarian usually does not use the subject pronoun unless it is needed for emphasis or contrast.

The ending -em in emlékszem already tells you the subject is I, so én is unnecessary.

Compare:

• Nem emlékszem. = I don’t remember.
• Én nem emlékszem. = I don’t remember. (with extra emphasis on I)

In Hungarian, nem usually comes directly before the finite verb to negate it.

So:

• emlékszem = I remember
• nem emlékszem = I do not remember

This is the normal neutral word order for negation.

Pontosan means exactly, precisely, or accurately.

In this sentence, it modifies emlékszem, so the idea is:

• Nem emlékszem pontosan = I don’t remember exactly

It suggests the speaker may remember something, but not clearly enough to give an exact answer.

That position is natural in Hungarian and gives the meaning I don’t remember exactly.

If you move pontosan, the nuance can shift slightly. For example:

• Nem emlékszem pontosan, hol van a jegypénztár. = I don’t remember exactly where the ticket office is.
• Nem emlékszem, hol van pontosan a jegypénztár. = I don’t remember where exactly the ticket office is.

Both are possible, but your sentence is a very natural way to say it.

Hol means where.

Here it introduces an embedded question, not a direct question. So the structure is like:

• hol van a jegypénztár = where the ticket office is

It works like English where in I don’t remember where the ticket office is.

Because hol van a jegypénztár is a subordinate clause.

Hungarian normally separates this kind of clause with a comma:

• Nem emlékszem pontosan, hol van a jegypénztár.

This is similar to written English, where a clause like this is often clearly separated as well.

This is the normal order for a clause meaning where the ticket office is.

Breakdown:

• hol = where
• van = is
• a jegypénztár = the ticket office

Hungarian keeps the same basic order here that you would see in a direct question:

• Hol van a jegypénztár? = Where is the ticket office?

When it becomes embedded inside a larger sentence, the order stays natural:

• Nem emlékszem pontosan, hol van a jegypénztár.

That is a very common question.

Hungarian often omits van in the third person singular present tense when talking about identity or description:

• A jegypénztár nyitva. = The ticket office is open.
• Ő magas. = He is tall.

But with location, van is normally used:

• A jegypénztár ott van. = The ticket office is there.
• Hol van a jegypénztár? = Where is the ticket office?

So in your sentence, van is required because the clause is about where something is.

A jegypénztár means the ticket office, the ticket counter, or the box office, depending on context.

It is a compound noun:

• jegy = ticket
• pénztár = cashier’s desk, cash desk, ticket office, box office

Together, jegypénztár refers to the place where tickets are sold.

A is the definite article, meaning the.

So:

• a jegypénztár = the ticket office

It is used because the speaker is referring to a specific ticket office in the situation, not just any ticket office in general.

Yes, very often it does.

When emlékezik takes a noun, it usually goes with -ra/-re:

• Emlékszem a címre. = I remember the address.
• Nem emlékszem a nevére. = I don’t remember his/her name.

But when it is followed by a whole clause, Hungarian can simply use the clause directly:

• Emlékszem, hol van. = I remember where it is.
• Nem emlékszem, mit mondott. = I don’t remember what he/she said.

So in your sentence, no extra case-marked word is needed before hol van a jegypénztár.

Yes, absolutely.

But there is a small difference:

• Nem emlékszem pontosan... = I don’t remember exactly...
• Nem tudom pontosan... = I don’t know exactly...

Nem emlékszem suggests that you may have known it before, but cannot recall it now.
Nem tudom is broader and simply says you do not know.

Both are natural, but nem emlékszem has more of a can’t recall feeling.

Not very naturally.

A rough word-for-word breakdown is:

• Nem = not
• emlékszem = I remember
• pontosan = exactly
• hol = where
• van = is
• a jegypénztár = the ticket office

But natural English rearranges this into something like:

• I don’t remember exactly where the ticket office is.

So the Hungarian and English meanings match, even though the word order is different.