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[ { "role": "user", "content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: \\boxed{$Answer} where $Answer is the answer to the problem.\n\nPoints \\(A(6,13)\\) and \\(B(12,11)\\) lie on circle \\(\\omega\\) in the plane. Suppose that the tangent...
93
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[ { "role": "user", "content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: \\boxed{$Answer} where $Answer is the answer to the problem.\n\nPoints \\(A(6,13)\\) and \\(B(12,11)\\) lie on circle \\(\\omega\\) in the plane. Suppose that the tangent...
93
{ "assistant_turn_index": 1, "total_assistant_turns": 3 }
[ { "role": "user", "content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: \\boxed{$Answer} where $Answer is the answer to the problem.\n\nPoints \\(A(6,13)\\) and \\(B(12,11)\\) lie on circle \\(\\omega\\) in the plane. Suppose that the tangent...
93
{ "assistant_turn_index": 0, "total_assistant_turns": 3 }
[ { "role": "user", "content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: \\boxed{$Answer} where $Answer is the answer to the problem.\n\nPoints \\(A(6,13)\\) and \\(B(12,11)\\) lie on circle \\(\\omega\\) in the plane. Suppose that the tangent...
93
{ "assistant_turn_index": 0, "total_assistant_turns": 6 }
[ { "role": "user", "content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: \\boxed{$Answer} where $Answer is the answer to the problem.\n\nPoints \\(A(6,13)\\) and \\(B(12,11)\\) lie on circle \\(\\omega\\) in the plane. Suppose that the tangent...
93
{ "assistant_turn_index": 0, "total_assistant_turns": 7 }
[ { "role": "user", "content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: \\boxed{$Answer} where $Answer is the answer to the problem.\n\nPoints \\(A(6,13)\\) and \\(B(12,11)\\) lie on circle \\(\\omega\\) in the plane. Suppose that the tangent...
93
{ "assistant_turn_index": 1, "total_assistant_turns": 7 }