{"problem_type":"Algebra","problem_label":"A1","problem":"Find the roots of the quadratic equation \\(x^2 - 4x + 4 = 0\\).","solution":"The equation simplifies to \\((x - 2)^2 = 0\\), so the root is \\(x = 2\\).","tier":0}
{"problem_type":"Algebra","problem_label":"A2","problem":"Determine the value of \\(y\\) in the equation \\(2y + 3 = 7\\).","solution":"Subtracting 3 from both sides gives \\(2y = 4\\).","tier":0}
{"problem_type":"Algebra","problem_label":"A2","problem":"Determine the value of \\(y\\) in the equation \\(2y + 3 = 7\\).","solution":"Dividing both sides by 2 gives \\(y = 2\\).","tier":0}
{"problem_type":"Combinatorics","problem_label":"C1","problem":"How many ways can 3 objects be arranged in a line?","solution":"The number of permutations of 3 objects is \\(3! = 6\\).","tier":0}