1- The [p] is required in < equipment > for standard British and American pronunciation.
2 - The [p] is optional in < symptom > for standard British and American pronunciation.
The English /p/ has three versions: aspirated [pʰ] as in < pot > [pʰɑt], unaspirated [p] as in < spot > [spɑt], and unreleased [p̚] as in < top > [tʰɑp̚].
The Cambridge dictionary recordings for < equipment > and < symptom > have a clearly audible [p] in both the British and American recordings.
The American recordings have an unreleased [p̚] which is often hard for non-native speakers to recognize, but native speakers have no difficulty recognizing the sound.
As a futher note:
The words < shop >, < shot >, and < shock > are difficult for non-native speakers to distinguish when pronounced with unreleased final consonants [p̚], [t̚], and [k̚]. The words are easily distinguishable when pronounced with released final consonants.
Here is a recording to demonstrate.