The phrase "a complicated task with" is correct and usable in written English.
It can be used when describing a task that involves complexity and is associated with something else, often detailing the nature of the task or its requirements.
Example: "Completing the project was a complicated task with numerous variables to consider."
Alternatives: "a challenging task involving" or "a complex task accompanied by".
It is a complicated task with prices continuing to fall, as American shale oil producers and Libya add to the glut of supplies.
Building design is quite a complicated task with the design team trying to counterbalance various antagonistic parameters, which in turn are subject to various constraints.
Designing of high-stiffness composite profiles for application in production machines is a complicated task with a large amount of input parameters.
It also indicates that information filtering is a complicated task with many factors affecting its successful application in a real situation.
It's a complicated task, with many levels of complexity.
Selecting a site to utilise can be a complicated task, with the performance a user obtains being dependent on the location chosen.
Congress has also told the health-care agency to expand the list of managed-care alternatives available to enrollees, a complicated task even with adequate resources.
But after reportedly learning that removing himself from the ballot was a complicated task fraught with legal difficulty, Collins reversed course.
This paper proposes a new communication and control architecture which improves the capability and the flexibility of multiple autonomous robot systems in performing a complicated task and coping with unpredictable situations.
Determination of ballistic performance of an armor solution is a complicated task and evolved significantly with the application of finite element methods (FEM) in this research field.
> Because the diagnosis of DLB is frequently a complicated task, given the overlaps with PD and AD, this may lead to misdiagnosis of the subjects.
