Distribute apples to the children in Class 1 of the fourth grade. The first group has 3 apples for each person, the second group has 4 apples for each person, the third group has 5 apples for each person, and the fourth group has 6 apples for each person. It is known that there are 19 people in the second group and the third group, the number of the first group is twice that of the second group, the number of the third group and the fourth group are equal, and a total of 201 apples are distributed. Q: How many children are there in this class?
给四年级一班的小朋友分苹果，第一组每人3个，第二组每人4个，第三组每人5个，第四组每人6个．已知第二组和第三组共有19人，第一组人数是第二组的2倍，第三组和第四组人数相等，总共分出去201个苹果．问：该班一共有多少名小朋友？
<gadget id="calculator">5 * 19</gadget>
<output>95</output>

<gadget id="calculator">6 * 19</gadget>
<output>114</output>

<gadget id="calculator">114 - 201</gadget>
<output>-87</output>

<gadget id="calculator">95 + (-87)</gadget>
<output>8</output>

<gadget id="calculator">3 * 2</gadget>
<output>6</output>

<gadget id="calculator">6 - 6 - 4</gadget>
<output>-4</output>

<gadget id="calculator">5 + (-4)</gadget>
<output>1</output>

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

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

<gadget id="calculator">19 - 8</gadget>
<output>11</output>

<gadget id="calculator">8 + 16 + 11 + 11</gadget>
<output>46</output>

<result>46</result>