UPDATE f_student
SET school_id = 0
WHERE
 id > (
 SELECT
 id
 FROM
 f_student
 WHERE
 school_id = M
 LIMIT 1
 )
AND id < (
 (
 SELECT
 id
 FROM
 f_student
 WHERE
 school_id = M
 LIMIT 1
 ) + N
)

[Err] 1093 – You can't specify target table ‘f_student' for update in FROM clause

UPDATE f_student SET school_id = 0 WHERE
                     id > 
                     (
                     SELECT id FROM ( 
                         SELECT id FROM f_student WHERE school_id = M LIMIT 1 
                       ) AS temp 
                     )
                     AND id <
                    (
                     (
                      SELECT id FROM ( 
                              SELECT id FROM f_student WHERE school_id = M LIMIT 1 
                             ) AS temp_1 
                     ) + N
                    )