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俄国大作家列夫·托尔斯泰曾设计过下面这样一道题:从前,有一个农夫,死后留下了一些牛。他在遗书中写道:将全部牛的半数再加半头分给妻子;再将分剩下的牛的半数再加半头分给长子,所得的牛是妻子得牛数的一半;再将分剩下的牛的半数再加半头分给次子,所得的牛是长子得牛数的一半;再将分剩下的牛的半数再加半头分给女儿,所得的牛是次子得牛数的一半。结果一头牛也没有杀,正好全部分完。问:农夫死时留下了多少头牛?
The Russian writer Lev Tolstoy has designed the following question: In the past, there was a farmer who left some cattle after his death. In his suicide note, he wrote: Give one half of the total number of cattle to the wife again, divide half the number of the remaining cattle into the firstborn, and give half the number of cattle to the wife, half the number of cattle; Divide the remaining half of the cattle by a half, giving them half the number of their sons, and half the number of the eldest sons received. Divide the remaining half of the cattle by half and give them to their daughters. The resulting cow is the second son Half the number of cattle. The result of a cow did not kill, just finished all. Q: How many heads of cattle did the farmer leave?