REM Statements beginning 'REM' are explanatory remarks: the machine will ignore them.

REM We shall test positive integers from 1 upwards until we find one whose square ends in 269,696.

REM A number that ends in 269,696 is one that leaves a remainder of 269,696 when divided by a million.

REM So we are looking for a value of n that satisfies the condition 'n squared modulo 1,000,000 = 269,696', or 'n^2 MOD 1000000 = 269696' in the notation that the machine can accept.

LET n = 0

REPEAT
  LET n = n + 1
UNTIL n^2 MOD 1000000 = 269696

PRINT "The smallest number whose square ends in 269696 is" n

PRINT "Its square is" n^2