There is a class of four-digit number, which leaves 1 when divided by 5, 4 when divided by 7, and 9 when divided by 11. What is the smallest of these four-digit numbers?
有一类四位数，除以5余1，除以7余4，除以11余9．这类四位数中最小的一个是多少．
<gadget id="calculator">5 * 7 * 10</gadget>
<output>350</output>

<gadget id="calculator">5 * 11 * 3</gadget>
<output>165</output>

<gadget id="calculator">7 * 11 * 3</gadget>
<output>231</output>

<gadget id="calculator">350 + 165 + 231</gadget>
<output>746</output>

<gadget id="calculator">5 * 7 * 11</gadget>
<output>385</output>

<gadget id="calculator">746 + 385</gadget>
<output>1_131</output>

<result>1_131</result>