Eros, the god of love, picked a batch of fairy fruits, among which Eutepi took away (1/12), Creo took away (1/5), Thuria fowl took away (1/8), and Maiponmani took away (1/20), Tepsikri took it (1/4), Nerato took it (1/7), Polycinia took 30, Eugonia took 120, Ka Come to Opi to take away 300, and finally there are 50 fairy fruits left. How many fairy fruits are there in this batch?
爱神爱罗斯采来一批仙果，其中攸忒皮拿走(1/12)，克里奥拿走(1/5)，退里亚禽走(1/8)，麦蓬麦尼拿走(1/20)，忒普息科里拿走(1/4)，尼拉托拿走(1/7)，坡力欣尼亚拿走30个，攸果尼亚拿走120个，卡来奥皮拿走300个，最后还剩下50个仙果．问这批仙果原来有多少个？
<gadget id="calculator">30 + 120 + 300 + 50</gadget>
<output>500</output>

<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

<gadget id="calculator">1 - (1/12) - (1/5) - (1/8) - (1/20) - (1/4) - (1/7)</gadget>
<output>25/168 = around 0.14881</output>

<gadget id="calculator">500 / (25/168)</gadget>
<output>3_360</output>

<result>3_360</result>