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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
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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)
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\boxed{23}
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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)
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