QUZ1- Can the prompt be solved? Select Yes if the given prompt can be solved or has a clear solution. Choose No if the prompt cannot be solved or lacks sufficient information to provide a solution. This helps to indicate whether the task is feasible. REMEMBER: if the prompt is not solvable, then the hint should direct the model to the realization that it’s unsolvable. -YES -NO QUZ2- What is the final answer to the given problem? Determine the correct mathematical answer for the prompt above. The final answer should be in the simplest form (e.g., only include the answer; complete sentences are unnecessary; this should rarely be longer than a single line). QUZ3- Write the hint for the provided problem. Generally, The hint should not include the entire answer to the prompt. The hint should be written in natural language (including formulas if really needed) as if you were a professor collaboratively trying to help a student solve a problem that they haven't seen before. The hint should not be vague. The hint should be clear for someone that has a sound mathematical background. The hint should be a plan/strategy on how to solve the task. The ideal format should be a short set of instructions to the model so that it can answer the prompt. The hint should include a set of key steps to solve the problem. If a particular theorem is needed, the hint should mention the theorem. If a particular equation/identity/formula is needed, the hint should mention the equation/identity/formula.