24点题目：使用数字 1 4 8 12，利用加减乘除、括号算出24。数字顺序可以任意调换，下面列出所有可行算式。
本题共有100个解（使用交换律变换后算一个解）,
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中等偏易24点题目
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| 序号 |
题目：1,4,8,12 |
| 1 |
((12 × 1) + 4) + 8 |
| 2 |
((12 + 4) + 8) × 1 |
| 3 |
((8 + 1) × 4) − 12 |
| 4 |
((12 + 8) + 4) × 1 |
| 5 |
((12 + 8) × 1) + 4 |
| 6 |
((12 × 1) + 8) + 4 |
| 7 |
((12 + 4) × 1) + 8 |
| 8 |
(12 + (8 × 1)) + 4 |
| 9 |
(12 + 8) + (4 × 1) |
| 10 |
(12 + (4 × 1)) + 8 |
| 11 |
(12 + (8 + 4)) × 1 |
| 12 |
(12 × 1) + (8 + 4) |
| 13 |
(8 + 4) + (12 × 1) |
| 14 |
(12 + 4) + (8 × 1) |
| 15 |
12 + ((8 + 4) × 1) |
| 16 |
12 + (8 + (4 × 1)) |
| 17 |
12 + ((8 × 1) + 4) |
| 18 |
((12 ÷ 1) × 8) ÷ 4 |
| 19 |
((12 × 8) ÷ 4) × 1 |
| 20 |
((12 × 1) × 8) ÷ 4 |
| 21 |
((12 + 8) ÷ 1) + 4 |
| 22 |
((12 ÷ 1) + 4) + 8 |
| 23 |
((12 + 4) ÷ 1) + 8 |
| 24 |
((12 × 8) × 1) ÷ 4 |
| 25 |
((12 + 8) + 4) ÷ 1 |
| 26 |
((12 × 8) ÷ 1) ÷ 4 |
| 27 |
((12 ÷ 1) + 8) + 4 |
| 28 |
((12 + 4) + 8) ÷ 1 |
| 29 |
((12 × 8) ÷ 4) ÷ 1 |
| 30 |
(12 × 8) ÷ (4 ÷ 1) |
| 31 |
(12 + (8 + 4)) ÷ 1 |
| 32 |
(8 + 4) + (12 ÷ 1) |
| 33 |
(12 + (4 ÷ 1)) + 8 |
| 34 |
(12 × (8 ÷ 4)) × 1 |
| 35 |
(12 + (8 ÷ 1)) + 4 |
| 36 |
(12 × (8 ÷ 4)) ÷ 1 |
| 37 |
(8 × (12 ÷ 4)) × 1 |
| 38 |
(12 × (8 ÷ 1)) ÷ 4 |
| 39 |
(8 × 1) × (12 ÷ 4) |
| 40 |
(12 + 8) + (4 ÷ 1) |
| 41 |
(8 × (12 ÷ 4)) ÷ 1 |
| 42 |
(12 + 4) + (8 ÷ 1) |
| 43 |
(12 × (8 × 1)) ÷ 4 |
| 44 |
(8 ÷ 1) × (12 ÷ 4) |
| 45 |
(12 × 8) ÷ (4 × 1) |
| 46 |
(12 ÷ 1) + (8 + 4) |
| 47 |
(12 ÷ 1) × (8 ÷ 4) |
| 48 |
(12 × 1) × (8 ÷ 4) |
| 49 |
12 × ((8 × 1) ÷ 4) |
| 50 |
8 × ((12 × 1) ÷ 4) |
| 51 |
8 × ((12 ÷ 1) ÷ 4) |
| 52 |
12 × ((8 ÷ 1) ÷ 4) |
| 53 |
8 × ((12 ÷ 4) ÷ 1) |
| 54 |
12 × ((8 ÷ 4) × 1) |
| 55 |
12 + ((8 ÷ 1) + 4) |
| 56 |
12 × ((8 ÷ 4) ÷ 1) |
| 57 |
12 + ((8 + 4) ÷ 1) |
| 58 |
8 × (12 ÷ (4 × 1)) |
| 59 |
8 × ((12 ÷ 4) × 1) |
| 60 |
8 × (12 ÷ (4 ÷ 1)) |
| 61 |
12 × (8 ÷ (4 ÷ 1)) |
| 62 |
12 × (8 ÷ (4 × 1)) |
| 63 |
12 + (8 + (4 ÷ 1)) |
| 64 |
(12 ÷ (4 ÷ 8)) ÷ 1 |
| 65 |
(8 ÷ (4 ÷ 12)) ÷ 1 |
| 66 |
(12 × 1) ÷ (4 ÷ 8) |
| 67 |
(8 × 1) ÷ (4 ÷ 12) |
| 68 |
(12 ÷ 1) ÷ (4 ÷ 8) |
| 69 |
(8 ÷ 4) ÷ (1 ÷ 12) |
| 70 |
(12 × 8) × (1 ÷ 4) |
| 71 |
(8 ÷ (1 ÷ 12)) ÷ 4 |
| 72 |
(12 ÷ 4) ÷ (1 ÷ 8) |
| 73 |
(12 ÷ (1 ÷ 8)) ÷ 4 |
| 74 |
(12 ÷ (4 ÷ 8)) × 1 |
| 75 |
(8 ÷ 1) ÷ (4 ÷ 12) |
| 76 |
(8 ÷ (4 ÷ 12)) × 1 |
| 77 |
12 ÷ (1 × (4 ÷ 8)) |
| 78 |
1 ÷ (4 ÷ (12 × 8)) |
| 79 |
12 × (1 ÷ (4 ÷ 8)) |
| 80 |
1 ÷ ((4 ÷ 8) ÷ 12) |
| 81 |
12 ÷ ((4 × 1) ÷ 8) |
| 82 |
8 ÷ (4 ÷ (12 × 1)) |
| 83 |
8 ÷ (4 × (1 ÷ 12)) |
| 84 |
8 ÷ ((4 ÷ 12) ÷ 1) |
| 85 |
8 ÷ (1 ÷ (12 ÷ 4)) |
| 86 |
12 ÷ ((4 ÷ 8) ÷ 1) |
| 87 |
8 ÷ ((4 × 1) ÷ 12) |
| 88 |
8 ÷ (4 ÷ (12 ÷ 1)) |
| 89 |
12 ÷ (4 × (1 ÷ 8)) |
| 90 |
12 ÷ (1 ÷ (8 ÷ 4)) |
| 91 |
12 ÷ ((4 ÷ 1) ÷ 8) |
| 92 |
8 × (12 × (1 ÷ 4)) |
| 93 |
8 ÷ ((4 ÷ 1) ÷ 12) |
| 94 |
12 × (8 × (1 ÷ 4)) |
| 95 |
12 ÷ (4 ÷ (8 × 1)) |
| 96 |
12 ÷ (4 ÷ (8 ÷ 1)) |
| 97 |
8 × (1 ÷ (4 ÷ 12)) |
| 98 |
8 ÷ (1 × (4 ÷ 12)) |
| 99 |
1 ÷ ((4 ÷ 12) ÷ 8) |
| 100 |
12 ÷ (1 − (4 ÷ 8)) |