Here is the full list of all 44 War Solution - there are Casual Math Game achievements.
GET A FLAG IN THE KINGDOM 01
1st VICTORY IN THE ADVENTURE MODE.
GET THE GOLD FLAG IN THE KINGDOM 01
BUY YOUR FIRST MACHINE'S SKIN
1st DEFEAT IN THE ADVENTURE MODE.
PLAY THE PVP MODE
BUY YOUR FIRST ATTACK MACHINE
BUY YOUR FIRST TOWER
COLLECT 115 OF GOLD
BUY THE BEST MACHINE OF THE 1ST SHOW
BUY THE BEST TOWER OF THE 1ST SHOW
GET A FLAG IN THE KINGDOM 02
GET A FLAG IN THE KINGDOM 03
GET A FLAG IN THE KINGDOM 04
GET A FLAG IN THE KINGDOM 05
GET A FLAG IN THE KINGDOM 06
GET A FLAG IN THE KINGDOM 07
GET A FLAG IN THE KINGDOM 08
GET A FLAG IN THE KINGDOM 09
GET A FLAG IN THE KINGDOM 10
GET A FLAG IN THE KINGDOM 11
GET A FLAG IN THE KINGDOM 12
GET THE GOLD FLAG IN THE KINGDOM 02
GET THE GOLD FLAG IN THE KINGDOM 03
GET THE GOLD FLAG IN THE KINGDOM 04
GET THE GOLD FLAG IN THE KINGDOM 05
GET THE GOLD FLAG IN THE KINGDOM 06
GET THE GOLD FLAG IN THE KINGDOM 07
GET THE GOLD FLAG IN THE KINGDOM 08
GET THE GOLD FLAG IN THE KINGDOM 09
GET THE GOLD FLAG IN THE KINGDOM 10
GET THE GOLD FLAG IN THE KINGDOM 11
GET THE GOLD FLAG IN THE KINGDOM 12
GET THE GOLDEN FLAG IN ALL THE KINGDOMS OF THE 1ST SHOW
1st VICTORY IN THE RANDOM MODE.
1st VICTORY IN THE SURVIVE MODE.
SURVIVES FOR 15 ROUNDS.
SURVIVES FOR 30 ROUNDS.
GET THE GOLD FLAG IN THE KINGDOM 01 AND 02
GET THE GOLD FLAG IN THE KINGDOM 03 AND 04
GET THE GOLD FLAG IN THE KINGDOM 05 AND 06
GET THE GOLD FLAG IN THE KINGDOM 07 AND 08
GET THE GOLD FLAG IN THE KINGDOM 09 AND 10
GET THE GOLDEN FLAG IN ALL THE KINGDOMS OF THE 1ST SHOW TIME MOD.