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How can i delete one or all user variables in HP Prime? I can't find this in the user manual.

It depends whether it's the CAS variables or the Home variables that you wish to delete.

CAS variables:

purge(n) purges n;

purge(x,y,z) purges x, y, and z; and

reset purges all CAS variables.

Home variables which YOU created can be deleted in two ways: via the Memory Manager (Shift Toolbox) or by pressing Vars User, User Variables, then backspacing the variables you wish to delete. In the Memory Manager, you can clear your variables selectively by backspacing them, or all together by pressing backspace on the "User Variables" category heading.

Built-in Home variables cannot be deleted per se; they are immortal. However, their CONTENTS can be deleted (reset to their default values) via the Memory Manager (Shift Toolbox) by pressing either backspace or Shift Esc (Clear) on the category or variable you wish to clear.

Hope that helps!