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_YOY7U):
Solve for w: 162*w + 1134 = 2916 Respond with an integer.

Question 1 (Question id: q_9vUGE):
Find the value of x in the equation: 21 - 17*x = -149 Respond with an integer.

Question 2 (Question id: q_ItaLjAe9):
How many times does the letter "t" appear in the text: "sitting with"? Respond with an integer.

Question 3 (Question id: q_KeJLQ):
Calculate 1 - 0.

Question 4 (Question id: q_1nYjrj1):
Solve for j: 360*j + 13 = 3613 Respond with an integer.

Question 5 (Question id: q_kPuFwVh):
Calculate -4 * -8.



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

For every question id, supply an object whose 'answer' field stores the solution.
For even integers, nest 'half_answer' and 'double_answer' inside an additional 'additional_answer_info' field in the answer object.
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.

Beyond the question-id fields, add a 'global_metadata' object with summary information:
• num_questions_asked: how many questions were asked in total.
Add 'num_questions_answered' showing how many questions you answered.
Provide 'questions_with_integer_answers', listing ids with integer answers (or [] if no integers).

Create a 'combined_results' section featuring:
  • integer_info: per-id integer answers
  • sum_of_answers: their total

Now provide the result JSON using the described format.

{"ground_truth": {"q_YOY7U": {"answer": 11}, "q_9vUGE": {"answer": 10, "additional_answer_info": {"half_answer": 5, "double_answer": 20}}, "q_ItaLjAe9": {"answer": 3}, "q_KeJLQ": {"answer": 1}, "q_1nYjrj1": {"answer": 10, "additional_answer_info": {"half_answer": 5, "double_answer": 20}}, "q_kPuFwVh": {"answer": 32, "additional_answer_info": {"half_answer": 16, "double_answer": 64}}, "global_metadata": {"num_questions_asked": 6, "num_questions_answered": 6, "questions_with_integer_answers": ["q_YOY7U", "q_9vUGE", "q_ItaLjAe9", "q_KeJLQ", "q_1nYjrj1", "q_kPuFwVh"]}, "combined_results": {"integer_info": {"q_YOY7U": 11, "q_9vUGE": 10, "q_ItaLjAe9": 3, "q_KeJLQ": 1, "q_1nYjrj1": 10, "q_kPuFwVh": 32}, "sum_of_answers": 67}}}