There are 8 riddles for 60 people to guess, and a total of 338 people guessed correctly. Each person guesses at least 3 correctly, there are 6 people who guess 3 correctly, 10 people who guess 4 correctly, and the same number of people who guess 5 and 7 correctly. How many people guess all 8 correctly?
有8个谜语让60个人猜，猜对共338人次．每人至少猜对3个，猜对3个的有6人，猜对4个的有10人，猜对5个和7个的人数同样多．8个全猜对的有多少人．
<gadget id="calculator">3 * 6</gadget>
<output>18</output>

<gadget id="calculator">4 * 10</gadget>
<output>40</output>

<gadget id="calculator">60 * 8</gadget>
<output>480</output>

<gadget id="calculator">6 * 8</gadget>
<output>48</output>

<gadget id="calculator">10 * 8</gadget>
<output>80</output>

<gadget id="calculator">480 - 48 - 80 - 338</gadget>
<output>14</output>

<gadget id="calculator">18 + 40 + 14</gadget>
<output>72</output>

<gadget id="calculator">2 * 8</gadget>
<output>16</output>

<gadget id="calculator">16 - 5 - 7</gadget>
<output>4</output>

<gadget id="calculator">72 / 4</gadget>
<output>18</output>

<gadget id="calculator">2 * 18</gadget>
<output>36</output>

<gadget id="calculator">60 - 6 - 10 - 36</gadget>
<output>8</output>

<result>8</result>