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_BqmmM):
Find the value of b in the equation: 18*b - 21 = 105 Respond with an integer.

Question 1 (Question id: q_dTewjdu):
Calculate ( -6 - -7 ).

Question 2 (Question id: q_GgabG):
Solve for a: 12*a + 17 = 89 Respond with an integer.

Question 3 (Question id: q_xXh3R8):
How many times does the letter "o" appear in the text: "corner is a"? Respond with an integer.

Question 4 (Question id: q_h0mcw1):
Calculate ( 0 - -3 ).

Question 5 (Question id: q_StMqwW):
Calculate 6 + -3.

Question 6 (Question id: q_ofU5):
How many times does the letter "a" appear in the text: "Piano Electro"? Respond with an integer.

Question 7 (Question id: q_NLg3Uo5i):
How many times does the letter "t" appear in the text: "the different"? Respond with an integer.

Question 8 (Question id: q_Fv6p3):
Find the value of b in the equation: 256*b + 144 = 1680 Respond with an integer.

Question 9 (Question id: q_QcJ0GiNK):
Solve for a: 12*a - 1 = 95 Respond with an integer.



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

The value for each key should be an object that contains the answer in the field 'answer'. Additionally, if the task is about counting legs of animals or counting letters in a string, add the task_type field with value 'leg_counting' or 'letter_counting', respectively.
Also add the answer type as 'string' or 'integer' to the field 'answer_type' for each object.
For even integer answers, include 'half_answer' equal to answer ÷ 2.
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_BqmmM": {"answer": 7, "answer_type": "integer"}, "q_dTewjdu": {"answer": 1, "answer_type": "integer"}, "q_GgabG": {"answer": 6, "answer_type": "integer", "half_answer": 3}, "q_xXh3R8": {"answer": 1, "task_type": "letter_counting", "answer_type": "integer"}, "q_h0mcw1": {"answer": 3, "answer_type": "integer"}, "q_StMqwW": {"answer": 3, "answer_type": "integer"}, "q_ofU5": {"answer": 1, "task_type": "letter_counting", "answer_type": "integer"}, "q_NLg3Uo5i": {"answer": 2, "task_type": "letter_counting", "answer_type": "integer", "half_answer": 1}, "q_Fv6p3": {"answer": 6, "answer_type": "integer", "half_answer": 3}, "q_QcJ0GiNK": {"answer": 8, "answer_type": "integer", "half_answer": 4}}}