Each cm contains 10mm so 1165cm is 1165*10 = <<1165*10=11650>>11650mm

154-150 = <<154-150=4>>4 pieces of the rope are 100mm each in length

The 4 pieces have a total length of 4*100 = <<4*100=400>>400mm

There is a length of 11650-400 = <<11650-400=11250>>11250mm left

11250 mm into 150 equal pieces will give each piece as 11250/150 = <<11250/150=75>>75mm long

# Answer

75
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A 1165 cm long rope is cut into 154 pieces. 150 of the pieces are equally sized and the remaining pieces are 100mm each. Find the length of each of the equal pieces in millimeters.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
75
A 1165 cm long rope is cut into 154 pieces. 150 of the pieces are equally sized and the remaining pieces are 100mm each. Find the length of each of the equal pieces in millimeters.
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