id int64 | problem string | solution string | url string | response_0 string | response_1 string | response_2 string | response_3 string | response_4 string | response_5 string | response_6 string | response_7 string | eval_0 float64 | eval_1 float64 | eval_2 float64 | eval_3 float64 | eval_4 float64 | eval_5 float64 | eval_6 float64 | eval_7 float64 |
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78 | "Let \\(O=(0,0)\\), \\(A=\\left(\\tfrac{1}{2},0\\right)\\), and \\(B=\\left(0,\\tfrac{\\sqrt{3}}{2}\(...TRUNCATED) | \boxed{23} | https://artofproblemsolving.com/wiki/index.php/2024_AIME_II_Problems/Problem_12 | "We are given:\n\n- $ O = (0,0) $\n- $ A = \\left(\\frac{1}{2}, 0\\right) $\n- $ B = \\left(0, \\fra(...TRUNCATED) | "We are given:\n\n- $ O = (0,0) $\n- $ A = \\left( \\frac{1}{2}, 0 \\right) $\n- $ B = \\left( 0, \\(...TRUNCATED) | "We are given:\n\n- $ O = (0,0) $\n- $ A = \\left(\\frac{1}{2}, 0\\right) $\n- $ B = \\left(0, \\fra(...TRUNCATED) | "We are given:\n\n- $O = (0,0)$\n- $A = \\left(\\frac{1}{2}, 0\\right)$\n- $B = \\left(0, \\frac{\\s(...TRUNCATED) | "We are given:\n\n- $ O = (0,0) $\n- $ A = \\left( \\frac{1}{2}, 0 \\right) $\n- $ B = \\left( 0, \\(...TRUNCATED) | "We are given:\n\n- $ O = (0,0) $\n- $ A = \\left( \\frac{1}{2}, 0 \\right) $\n- $ B = \\left( 0, \\(...TRUNCATED) | "We are given points:\n\n- $ O = (0,0) $\n- $ A = \\left( \\frac{1}{2}, 0 \\right) $\n- $ B = \\left(...TRUNCATED) | "We are given:\n\n- $ O = (0,0) $\n- $ A = \\left(\\frac{1}{2}, 0\\right) $\n- $ B = \\left(0, \\fra(...TRUNCATED) | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
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