contrive

verbs

make or work out a plan for; devise
"They contrived to murder their boss"; "design a new sales strategy"; "plan an attack"
is derived from
come up with (an idea, plan, explanation, theory, or principle) after a mental effort
"excogitate a way to measure the speed of light"
is derived from
put or send forth
"She threw the flashlight beam into the corner"; "The setting sun threw long shadows"; "cast a spell"; "cast a warm light"