We describe a parametrized space for simple meta-reinforcement-learning (meta-RL) tasks with arbitrary stimuli. The parametrization allows us to randomly generate an arbitrary number of novel simple meta-learning tasks. The space of meta-RL tasks covered by this parametrization includes many well-known meta-RL tasks, such as bandit tasks, the Harlow task, T-mazes, the Daw two-step task and others. Simple extensions allow it to capture tasks based on two-dimensional topological spaces, such as find-the-spot or key-door tasks. We describe a number of randomly generated meta-RL tasks and discuss potential issues arising from random generation.