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_rycgYnzT):
Find the value of m in the equation: 240*m - 333 = 387 Respond with an integer.

Question 1 (Question id: q_w8jux5ls):
How many times does the letter "d" appear in the text: "am tired out"? Respond with an integer.

Question 2 (Question id: q_8RllpL8):
Solve for j: 48*j + 1 = 337 Respond with an integer.

Question 3 (Question id: q_xiETK4m):
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: "problems"

Question 4 (Question id: q_J8t1K):
How many times does the letter "r" appear in the text: "had remained"? Respond with an integer.

Question 5 (Question id: q_tqdZG1v):
Solve for f: 31 - 9*f = -104 Respond with an integer.

Question 6 (Question id: q_Z9u2qT):
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: "and"



Return a JSON with each question id (except for q_J8t1K, q_tqdZG1v, q_xiETK4m) as a key.

Each key’s value must be an object holding an 'answer' field.
For even integer answers, include 'half_answer' equal to answer ÷ 2.
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_w8jux5ls": {"answer": 1}, "q_8RllpL8": {"answer": 7}, "q_Z9u2qT": {"answer": "d", "first_char": "d", "original_string": "and"}, "q_rycgYnzT": {"answer": 3}}}