24点题目：使用数字 1 5 10 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67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：1,5,10,12 |
| 1 |
((12 × 10) ÷ 1) ÷ 5 |
| 2 |
((12 × 10) ÷ 5) ÷ 1 |
| 3 |
((12 × 1) × 10) ÷ 5 |
| 4 |
((12 × 10) × 1) ÷ 5 |
| 5 |
((12 × 10) ÷ 5) × 1 |
| 6 |
((12 ÷ 1) × 10) ÷ 5 |
| 7 |
(12 × (10 × 1)) ÷ 5 |
| 8 |
(12 ÷ 1) × (10 ÷ 5) |
| 9 |
(12 × 10) ÷ (5 × 1) |
| 10 |
(12 × 10) ÷ (5 ÷ 1) |
| 11 |
(12 × (10 ÷ 5)) × 1 |
| 12 |
(12 × (10 ÷ 5)) ÷ 1 |
| 13 |
(12 × 1) × (10 ÷ 5) |
| 14 |
(12 × (10 ÷ 1)) ÷ 5 |
| 15 |
12 × ((10 ÷ 5) × 1) |
| 16 |
12 × ((10 ÷ 1) ÷ 5) |
| 17 |
12 × (10 ÷ (5 × 1)) |
| 18 |
12 × ((10 × 1) ÷ 5) |
| 19 |
12 × ((10 ÷ 5) ÷ 1) |
| 20 |
12 × (10 ÷ (5 ÷ 1)) |
| 21 |
(12 × 1) ÷ (5 ÷ 10) |
| 22 |
(10 ÷ (5 ÷ 12)) ÷ 1 |
| 23 |
(10 ÷ (1 ÷ 12)) ÷ 5 |
| 24 |
(10 × 1) × (12 ÷ 5) |
| 25 |
(10 × (12 ÷ 5)) ÷ 1 |
| 26 |
(10 × (12 ÷ 5)) × 1 |
| 27 |
(12 × 10) × (1 ÷ 5) |
| 28 |
(10 × 1) ÷ (5 ÷ 12) |
| 29 |
(12 ÷ 1) ÷ (5 ÷ 10) |
| 30 |
(10 ÷ 1) × (12 ÷ 5) |
| 31 |
(10 ÷ 5) ÷ (1 ÷ 12) |
| 32 |
(10 ÷ 1) ÷ (5 ÷ 12) |
| 33 |
(10 ÷ (5 ÷ 12)) × 1 |
| 34 |
(12 ÷ 5) ÷ (1 ÷ 10) |
| 35 |
(12 ÷ (1 ÷ 10)) ÷ 5 |
| 36 |
(12 ÷ (5 ÷ 10)) × 1 |
| 37 |
(12 ÷ (5 ÷ 10)) ÷ 1 |
| 38 |
12 ÷ ((5 × 1) ÷ 10) |
| 39 |
10 ÷ ((5 ÷ 12) ÷ 1) |
| 40 |
10 ÷ (5 × (1 ÷ 12)) |
| 41 |
12 ÷ ((5 ÷ 1) ÷ 10) |
| 42 |
10 × ((12 ÷ 5) ÷ 1) |
| 43 |
10 ÷ (1 × (5 ÷ 12)) |
| 44 |
10 × ((12 ÷ 5) × 1) |
| 45 |
12 × (10 × (1 ÷ 5)) |
| 46 |
10 × ((12 ÷ 1) ÷ 5) |
| 47 |
1 ÷ ((5 ÷ 12) ÷ 10) |
| 48 |
10 ÷ (5 ÷ (12 × 1)) |
| 49 |
10 × (12 ÷ (5 ÷ 1)) |
| 50 |
12 ÷ (1 × (5 ÷ 10)) |
| 51 |
12 ÷ (5 ÷ (10 × 1)) |
| 52 |
12 ÷ (1 ÷ (10 ÷ 5)) |
| 53 |
1 ÷ (5 ÷ (12 × 10)) |
| 54 |
10 ÷ (5 ÷ (12 ÷ 1)) |
| 55 |
12 ÷ ((5 ÷ 10) ÷ 1) |
| 56 |
12 ÷ (1 − (5 ÷ 10)) |
| 57 |
10 ÷ ((5 ÷ 1) ÷ 12) |
| 58 |
12 ÷ (5 × (1 ÷ 10)) |
| 59 |
10 ÷ ((5 × 1) ÷ 12) |
| 60 |
10 ÷ (1 ÷ (12 ÷ 5)) |
| 61 |
10 × (1 ÷ (5 ÷ 12)) |
| 62 |
10 × (12 ÷ (5 × 1)) |
| 63 |
10 × (12 × (1 ÷ 5)) |
| 64 |
12 ÷ (5 ÷ (10 ÷ 1)) |
| 65 |
1 ÷ ((5 ÷ 10) ÷ 12) |
| 66 |
10 × ((12 × 1) ÷ 5) |
| 67 |
12 × (1 ÷ (5 ÷ 10)) |