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_v3xEK):
Find the value of w in the equation: 6*w + 1 = 31 Respond with an integer.

Question 1 (Question id: q_s5sZbfk):
Determine the value of n that satisfies: 8 - 18*n = -172 Respond with an integer.

Question 2 (Question id: q_XMtMBcl):
Calculate -6 / 6 + 4.



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

For every question id, supply an object whose 'answer' field stores the solution.
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 string answers, include 'first_char' with the answer’s initial letter.
If the question asks for the last character of a string, add an 'original_string' field containing the source string.

Now provide the result JSON using the described format.

{"ground_truth": {"q_v3xEK": {"answer": 5}, "q_s5sZbfk": {"answer": 10, "half_answer": 5}, "q_XMtMBcl": {"answer": 3}}}