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_KlHP3):
Find the value of w in the equation: 3 - 6*w = -9 Respond with an integer.

Question 1 (Question id: q_BBoKmL):
Determine the value of x that satisfies: 20 - 6*x = 2 Respond with an integer.

Question 2 (Question id: q_UbF1Sgyu):
Calculate 0 / 6 + 1.

Question 3 (Question id: q_yOeF):
Solve for i: 6*i + 30 = 72 Respond with an integer.



Your output must be a JSON mapping every question id to its answer info.

The value for each key should be an object that contains the answer in the field 'answer'.
Include an 'answer_type' field (value 'string' or 'integer') for every answer object.
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.
If the response to a question is a string, add a 'first_char' field containing its first character.
For last-character tasks, provide 'original_string' alongside the answer.

Now provide the result JSON using the described format.

{"ground_truth": {"q_KlHP3": {"answer": 2, "answer_type": "integer", "half_answer": 1}, "q_BBoKmL": {"answer": 3, "answer_type": "integer"}, "q_UbF1Sgyu": {"answer": 1, "answer_type": "integer"}, "q_yOeF": {"answer": 7, "answer_type": "integer"}}}