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

Question 1 (Question id: q_WY4JvOz):
How many times does the letter "n" appear in the text: "is sprung"? Respond with an integer.

Question 2 (Question id: q_NQ7WH65):
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: "that"



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'.
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.
For last-character tasks, provide 'original_string' alongside the answer.

Now provide the result JSON using the described format.

{"ground_truth": {"q_vqbuN": {"answer": 5}, "q_WY4JvOz": {"answer": 1}, "q_NQ7WH65": {"answer": "t", "first_char": "t", "original_string": "that"}}}