question stringclasses 30
values | model_answer stringlengths 1 252k | ground_truth stringclasses 27
values | is_correct bool 2
classes | confs listlengths 1.63k 64k | ID stringclasses 30
values | Year stringclasses 1
value | Problem Number stringclasses 1
value |
|---|---|---|---|---|---|---|---|
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | 2^{99} | 2^{99} | true | [[-0.979966402053833,-0.479966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | "Okay, so I have this problem here about 100 concentric circles, each labeled C₁, C₂, C₃, ...,(...TRUNCATED) | 2^{99} | false | [[-0.479966402053833,-0.979966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | 2^{99} | 2^{99} | true | [[-0.479966402053833,-0.979966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | 2^{99} | 2^{99} | true | [[-0.479966402053833,-0.979966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | 2^{99} | 2^{99} | true | [[-0.479966402053833,-0.979966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | 2^{99} | 2^{99} | true | [[-0.479966402053833,-0.979966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | "Alright, so I came across this problem about concentric circles and equilateral triangles, and I th(...TRUNCATED) | 2^{99} | false | [[-0.979966402053833,-0.479966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | 2^{99} | 2^{99} | true | [[-0.479966402053833,-0.979966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | \dfrac{1}{81} | 2^{99} | false | [[-0.479966402053833,-0.979966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 | ||
"One hundred concentric circles are labelled $C_{1}, C_{2}, C_{3}, \\ldots, C_{100}$. Each circle $C(...TRUNCATED) | 2^{99} | 2^{99} | true | [[-0.479966402053833,-0.979966402053833,-5.354966163635254,-8.229966163635254,-9.104966163635254],[-(...TRUNCATED) | 0 |
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