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20．The maths problem was so difficult，but he managedto work（work）it out．

分析這道數學題如此之難，但是他還是成功把它做出來了．

解答答案：to work
解析：根據橫線前面的manage"設法（做某事）"一詞可知，本題考查manage to do sth"設法（成功）做某事"這一固定短語；因此本題答案為"to work"．

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