Here is a set of basic questions producing integer or string outputs. Answer them and format the result precisely with the JSON instructions provided:

Question 0 (Question id: q_9gEu):
Solve for w: 162*w + 1134 = 2916 Respond with an integer.

Question 1 (Question id: q_qpy3Tl):
How many times does the letter "ë" appear in the text: "for aërial"? Respond with an integer.

Question 2 (Question id: q_0jTI):
Your job is to return the last character of a string as a string. For example, the last char of "hello" is "o". Return the last character of the following string: "seeing"



Produce a JSON object whose top-level keys are the question ids.

Each key’s value must be an object holding an 'answer' field.
If the response to a question is an integer that is even, also add the field 'half_answer' to the object which contains the answer integer divided by two.
For last-character tasks, provide 'original_string' alongside the answer.

Now provide the result JSON using the described format.

{"ground_truth": {"q_9gEu": {"answer": 11}, "q_qpy3Tl": {"answer": 1}, "q_0jTI": {"answer": "g", "original_string": "seeing"}}}