image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/1845/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, B)), 22); Equals(LengthOf(Line(A, C)), x); "
}
] |
geometry3k/train/1846/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Y, A)), 2); Equals(LengthOf(Line(X, A)), a-7); Equals(LengthOf(Line(W, A)), 10); Equals(LengthOf(Line(A, Z)), 2b-6... |
geometry3k/train/1853/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, A, C)), 55); Equals(LengthOf(Line(A, C)), 3); Equals(MeasureOf(Angle(C, B, A)), 55); "
}
] |
geometry3k/train/1854/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, P)), 25); PointLiesOnLine(P, Line(L, K)); PointLiesOnLine(H, Line(L, M)); PointLiesOnLine(J, Line(K, M)); "
}... |
geometry3k/train/1858/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, Y, B)), 3x-15); Equals(MeasureOf(Angle(G, Y, A)), y+25); Equals(MeasureOf(Angle(E, B, G)), 105); PointLiesOnL... |
geometry3k/train/1860/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 8); Equals(LengthOf(Line(A, E)), 4); Equals(MeasureOf(Angle(C, F, E)), 60); Equals(LengthOf(Line(F, C)), 1... |
geometry3k/train/1862/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(B, C), Line(A, B)); Perpendicular(Line(C, D), Line(D, A)); "
}
] |
geometry3k/train/1863/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, X, B)), 135); Equals(MeasureOf(Angle(A, X, C)), 118); Equals(MeasureOf(Angle(A, X, B)), x); PointLiesOnCircle... |
geometry3k/train/1864/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), 6); Equals(LengthOf(Line(C, A)), 20); Perpendicular(Line(C, B), Line(C, A)); "
}
] |
geometry3k/train/1869/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(A, D)), 110); PointLiesOnCircle(A, Circle(I, radius_)); PointLiesOnCircle(C, Circle(I, radius_)); PointLiesOnCircl... |
geometry3k/train/1871/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(A, Line(J, K)); PointLiesOnLine(B, Line(J, L)); "
}
] |
geometry3k/train/1872/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(E, M, L)), 66); Equals(LengthOf(Line(L, E)), x); Equals(LengthOf(Line(K, M)), 15); Equals(LengthOf(Line(L, K)), ... |
geometry3k/train/1873/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(D, H)), 34); Equals(MeasureOf(Angle(H, B, D)), x); Equals(MeasureOf(Arc(D, E)), 106); Equals(MeasureOf(Arc(A, H)),... |
geometry3k/train/1874/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(J, Line(A, B)); PointLiesOnLine(J, Line(A, C)); PointLiesOnLine(J, Line(K, A)); PointLiesOnLine(J, Line(A, D)); PointLi... |
geometry3k/train/1878/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, Q)), LengthOf(Line(P, T))); PointLiesOnLine(S, Line(P, M)); PointLiesOnLine(T, Line(P, Q)); PointLiesOnLine(R, ... |
geometry3k/train/1880/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, A)), x); Equals(LengthOf(Line(L, K)), 10); PointLiesOnLine(A, Line(K, L)); PointLiesOnCircle(R, Circle(J, radiu... |
geometry3k/train/1881/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 3.5); Equals(MeasureOf(Angle(B, C, A)), 48); Equals(LengthOf(Line(A, B)), LengthOf(Line(A, C))); "
}
] |
geometry3k/train/1882/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, B)), 5); Equals(LengthOf(Line(C, A)), 13); Equals(LengthOf(Line(O, A)), 12); Perpendicular(Line(E, A), Line(E, ... |
geometry3k/train/1885/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(W, Y)), 10.5); Equals(LengthOf(Line(V, W)), 17); Equals(LengthOf(Line(X, W)), 17); PointLiesOnLine(W, Line(X, V));... |
geometry3k/train/1888/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, B)), 5); Equals(LengthOf(Line(S, B)), x-1); Equals(LengthOf(Line(D, S)), x-1); Equals(LengthOf(Line(D, T)), 10)... |
geometry3k/train/1889/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, F)), 3); Equals(LengthOf(Line(D, H)), x); PointLiesOnLine(F, Line(B, A)); PointLiesOnLine(G, Line(B, C)); Point... |
geometry3k/train/1890/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(M, G, F)), 82); PointLiesOnCircle(G, Circle(C, radius_)); PointLiesOnCircle(F, Circle(C, radius_)); PointLiesOnC... |
geometry3k/train/1892/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, J)), 5); Equals(LengthOf(Line(L, M)), x); PointLiesOnLine(X, Line(M, L)); PointLiesOnLine(H, Line(M, K)); Point... |
geometry3k/train/1894/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, G)), 3); Equals(LengthOf(Line(F, B)), 4); Equals(LengthOf(Line(F, C)), 2); Equals(LengthOf(Line(C, E)), 1); Per... |
geometry3k/train/1896/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(A, C)), 9x-1); Equals(MeasureOf(Arc(D, C)), 94); Equals(MeasureOf(Angle(D, B, C)), 2x); PointLiesOnLine(D, Line(A,... |
geometry3k/train/1901/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, F)), 14); Equals(LengthOf(Line(D, E)), x-2); PointLiesOnCircle(F, Circle(G, radius_)); PointLiesOnCircle(E, Cir... |
geometry3k/train/1908/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(A, C)), 8); Equals(LengthOf(Line(B, C)), 15); Perpendicular(Line(A, C), Line(B, C... |
geometry3k/train/1909/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnCircle(C, Circle(O, radius_)); PointLiesOnCircle(A, Circle(O, radius_)); PointLiesOnCircle(B, Circle(O, radius_)); "
}
] |
geometry3k/train/1911/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, Y)), 3a+7); Equals(LengthOf(Line(Y, A)), 2); Equals(LengthOf(Line(X, W)), x+11); Equals(LengthOf(Line(W, A)), 4... |
geometry3k/train/1912/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Q, P)), 11); Equals(LengthOf(Line(Q, R)), 5); Equals(LengthOf(Line(T, P)), 16); Equals(LengthOf(Line(Q, S)), 5); E... |
geometry3k/train/1914/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, B)), 3); Equals(MeasureOf(Angle(E, B, C)), 32); "
}
] |
geometry3k/train/1915/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 13); Equals(LengthOf(Line(B, C)), 13); Equals(LengthOf(Line(A, C)), 10); Perpendicular(Line(D, B), Line(C,... |
geometry3k/train/1918/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(C, B)), 14); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(LengthOf(Line(B, A)), ... |
geometry3k/train/1920/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, F)), 50); Equals(MeasureOf(Arc(F, C)), x); PointLiesOnCircle(C, Circle(A, radius_)); PointLiesOnCircle(F, ... |
geometry3k/train/1924/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, C)), 8); "
}
] |
geometry3k/train/1926/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, B)), 5); Equals(LengthOf(Line(C, B)), 2x-8); Equals(LengthOf(Line(D, B)), 3); Equals(LengthOf(Line(B, A)), x+3)... |
geometry3k/train/1929/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(S, Q)), x); Equals(LengthOf(Line(Q, R)), 8); Equals(MeasureOf(Angle(R, S, Q)), 54); Equals(MeasureOf(Angle(R, Q, S... |
geometry3k/train/1933/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(M, G, N)), x); Equals(MeasureOf(Arc(N, Q)), 75); Equals(MeasureOf(Arc(M, P)), 55); PointLiesOnLine(G, Line(Q, M)... |
geometry3k/train/1937/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, G)), 10); Perpendicular(Line(H, F), Line(F, D)); Equals(LengthOf(Line(H, G)), LengthOf(Line(D, H))); PointLiesO... |
geometry3k/train/1939/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, S)), 25); Equals(LengthOf(Line(T, R)), 30); "
}
] |
geometry3k/train/1942/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(C, A)), y); Equals(LengthOf(Line(B, C)), 16\\sqrt{3}); Equals(MeasureOf(Angle(B, ... |
geometry3k/train/1947/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 53); Equals(MeasureOf(Angle(C, A, B)), x); Equals(LengthOf(Line(B, C)), 68); Equals(MeasureOf(Angle(A, B, ... |
geometry3k/train/1948/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(G, F, D)), 2y); Equals(MeasureOf(Angle(H, G, F)), x-5); Equals(MeasureOf(Angle(D, H, G)), 2x+11); "
}
] |
geometry3k/train/1950/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, N)), 10); Equals(LengthOf(Line(Y, N)), 25); Perpendicular(Line(Z, N), Line(X, N)); Perpendicular(Line(X, Z), Li... |
geometry3k/train/1951/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(X, Y), Line(X, V)); PointLiesOnLine(Y, Line(V, T)); PointLiesOnCircle(R, Circle(X, radius_)); PointLiesOnCircle(W, C... |
geometry3k/train/1952/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(V, W)), 3x-6); Equals(LengthOf(Line(Y, W)), 5); Equals(LengthOf(Line(Z, W)), 6); Equals(LengthOf(Line(W, X)), x+4)... |
geometry3k/train/1954/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(E, A, B)), MeasureOf(Angle(6))); Equals(MeasureOf(Angle(7)), MeasureOf(Angle(B, A, D))); Equals(MeasureOf(Angle(... |
geometry3k/train/1956/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(H, G, E)), 3x+6); Perpendicular(Line(G, H), Line(E, H)); Equals(LengthOf(Line(H, G)), LengthOf(Line(E, H))); "
... |
geometry3k/train/1958/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(S, R)), 84); Equals(MeasureOf(Arc(T, U)), 130); Equals(MeasureOf(Angle(T, V, U)), x); PointLiesOnLine(V, Line(T, S... |
geometry3k/train/1959/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/1961/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Q, P)), 8); Equals(LengthOf(Line(S, R)), 7); Equals(LengthOf(Line(Q, R)), x); PointLiesOnLine(R, Line(Q, S)); Poin... |
geometry3k/train/1962/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, C, D)), x-12); Equals(MeasureOf(Angle(C, A, B)), 4x-8); Equals(MeasureOf(Angle(B, D, C)), 3y-4); Equals(Measu... |
geometry3k/train/1963/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(E, A, D)), 30); Equals(LengthOf(Line(E, A)), 4\\sqrt{3}); Perpendicular(Line(A, D), Line(C, D)); Perpendicular(L... |
geometry3k/train/1966/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, F)), 10); Equals(LengthOf(Line(C, H)), 7); Equals(LengthOf(Line(H, E)), 6); Equals(LengthOf(Line(F, E)), 11); P... |
geometry3k/train/1968/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, Q)), 2); Equals(LengthOf(Line(P, Q)), 12); Equals(LengthOf(Line(T, S)), 3); PointLiesOnLine(Q, Line(P, R)); Poi... |
geometry3k/train/1970/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(B, A), Line(B, C)); Perpendicular(Line(K, J), Line(K, L)); PointLiesOnLine(C, Line(B, D)); PointLiesOnLine(L, Line(M... |
geometry3k/train/1971/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 5); Equals(LengthOf(Line(B, C)), 12); Perpendicular(Line(A, C), Line(B, C)); PointLiesOnLine(T, Line(A, B)... |
geometry3k/train/1972/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, Y)), 4); Equals(MeasureOf(Angle(X, Y)), 4); PointLiesOnCircle(Z, Circle(X, radius_)); PointLiesOnCircle(Y, Circ... |
geometry3k/train/1976/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, B)), 2x+9); Equals(MeasureOf(Angle(D, B, C)), 106); Equals(MeasureOf(Angle(C, A, D)), 3y+19); Equals(LengthOf(L... |
geometry3k/train/1977/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, D, C)), 24); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnC... |
geometry3k/train/1978/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, C, G)), 67); Equals(MeasureOf(Angle(G, F, D)), 49); Equals(LengthOf(Line(D, C)), LengthOf(Line(C, G))); Equal... |
geometry3k/train/1985/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, B)), 10); Equals(LengthOf(Line(D, B)), 5\\sqrt{2}); Equals(LengthOf(Line(E, C)), 5 ); Perpendicular(Line(E, A),... |
geometry3k/train/1987/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(G, A, H)), 28); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(G, Circle(B, radius_)); PointLiesOnC... |
geometry3k/train/1991/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 26.2); Equals(MeasureOf(Angle(B, C, A)), x); Equals(LengthOf(Line(B, C)), 13.5); Equals(LengthOf(Line(A, B... |
geometry3k/train/1995/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(Y, P), Line(Z, P)); Perpendicular(Line(Z, Q), Line(Q, T)); PointLiesOnLine(P, Line(X, Y)); PointLiesOnLine(Q, Line(T... |
geometry3k/train/1996/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 8); Equals(LengthOf(Line(A, B)), LengthOf(h)); Equals(MeasureOf(Angle(A, C, B)), 45); Perpendicular(Line(A... |
geometry3k/train/1997/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 8); Equals(MeasureOf(Angle(B, A, C)), 121); PointLiesOnCircle(B, Circle(A, radius_)); PointLiesOnCircle(C,... |
geometry3k/train/1999/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, D, C)), 78); PointLiesOnLine(X, Line(B, A)); PointLiesOnLine(Y, Line(C, D)); "
}
] |
geometry3k/train/2002/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 5x-1); Equals(LengthOf(Line(B, A)), \\frac{10}{3}x+4); Equals(LengthOf(Line(B, C)), 7x-7); Equals(MeasureO... |
geometry3k/train/2004/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(DiameterOf(Circle(A))), 10); Equals(MeasureOf(Angle(B, A, D)), 80); Equals(MeasureOf(Angle(E, A, B)), 64); Equals(Measu... |
geometry3k/train/2005/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Y, X)), 5.8); Equals(LengthOf(Line(Y, Z)), 3.2); Perpendicular(Line(W, X), Line(X, Y)); "
}
] |
geometry3k/train/2006/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, C)), 12); Equals(LengthOf(Line(D, C)), 10); Equals(LengthOf(Line(E, A)), LengthOf(Line(A, D))); Perpendicular(L... |
geometry3k/train/2007/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, B)), 5y); Equals(LengthOf(Line(D, B)), \\frac{7}{3}y+8); Equals(LengthOf(Line(E, C)), \\frac{1}{3}x+2); Equals(... |
geometry3k/train/2009/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(Y, X)), 4); Equals(LengthOf(Line(Z, X)), 4); Equals(MeasureOf(Angle(X, Y, Z)), 60); Equals(MeasureOf(Angle(Y, Z, X... |
geometry3k/train/2010/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(B, Line(Q, S)); PointLiesOnLine(B, Line(R, T)); "
}
] |
geometry3k/train/2013/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, C, B)), 3x+25); Equals(MeasureOf(Angle(C, D, B)), 4x+5); Equals(MeasureOf(Angle(D, B, C)), 5x-30); "
}
] |
geometry3k/train/2014/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 6.6); Equals(MeasureOf(Angle(A, B, C)), 17); Perpendicular(Line(A, B), Line(A, C)); PointLiesOnLine(x, Lin... |
geometry3k/train/2015/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Parallel(Line(B, C), Line(D, E)); PointLiesOnLine(D, Line(B, A)); PointLiesOnLine(E, Line(A, C)); "
}
] |
geometry3k/train/2016/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(S, Line(T, E)); PointLiesOnLine(S, Line(R, K)); PointLiesOnCircle(T, Circle(S, radius_)); PointLiesOnCircle(E, Circle(S... |
geometry3k/train/2018/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 13); Equals(LengthOf(Line(A, C)), 5); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Line(B, C... |
geometry3k/train/2021/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, B)), x+16); Equals(LengthOf(Line(A, C)), 16); Equals(LengthOf(Line(X, C)), x); PointLiesOnLine(X, Line(C, B)); ... |
geometry3k/train/2022/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, E)), 13); Equals(MeasureOf(Angle(F, A, E)), y); Perpendicular(Line(A, C), Line(C, E)); Equals(LengthOf(Line(C, ... |
geometry3k/train/2024/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(X, Y)), 106); PointLiesOnLine(Y, Line(W, A)); PointLiesOnLine(X, Line(W, C)); PointLiesOnCircle(Y, Circle(B, radiu... |
geometry3k/train/2026/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, A)), 6); Equals(LengthOf(Line(A, G)), b); Equals(LengthOf(Line(D, A)), 8); Equals(LengthOf(Line(A, F)), a); Equ... |
geometry3k/train/2027/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 22); Equals(LengthOf(Line(D, A)), 17); Perpendicular(Line(D, A), Line(C, A)); Perpendicular(Line(A, C), Li... |
geometry3k/train/2031/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, C)), 6); Equals(LengthOf(Line(A, D)), x); Equals(LengthOf(Line(D, F)), 2); Equals(LengthOf(Line(D, B)), 3); Poi... |
geometry3k/train/2035/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(P, S)), 21); Equals(LengthOf(Line(S, R)), 7); Perpendicular(Line(Q, P), Line(Q, R)); Perpendicular(Line(S, Q), Lin... |
geometry3k/train/2037/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, P)), 2y); Equals(LengthOf(Line(H, I)), \\frac{4}{3}y+1); Equals(LengthOf(Line(J, B)), 6-x); Equals(LengthOf(Lin... |
geometry3k/train/2041/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(A, C)), 22); Equals(LengthOf(Line(A, B)), 25); Perpendicular(Line(A, C), Line(B, ... |
geometry3k/train/2042/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, E)), 2x); Equals(LengthOf(Line(E, D)), 6x-4); PointLiesOnCircle(F, Circle(H, radius_)); PointLiesOnCircle(D, Ci... |
geometry3k/train/2047/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(P, Q, R)), 101); Equals(MeasureOf(Angle(Q, R, S)), x); Equals(MeasureOf(Angle(R, S, P)), y); "
}
] |
geometry3k/train/2049/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 30); Equals(LengthOf(Line(D, A)), 28); Equals(MeasureOf(Angle(E, A, C)), 30); Perpendicular(Line(E, B), Li... |
geometry3k/train/2050/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, F)), 20); Equals(LengthOf(Line(F, B)), 7); Equals(LengthOf(Line(A, C)), 16); Equals(LengthOf(Line(C, D)), 11); ... |
geometry3k/train/2053/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, F, E)), 85); Equals(MeasureOf(Angle(C, D, F)), 65); Equals(MeasureOf(Angle(C, E, F)), x); PointLiesOnLine(F, ... |
geometry3k/train/2054/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, D)), 6); Equals(LengthOf(Line(A, B)), 19); PointLiesOnLine(B, Line(C, A)); PointLiesOnLine(E, Line(C, D)); Poin... |
geometry3k/train/2056/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, Y)), 20); Equals(LengthOf(Line(H, G)), 32); PointLiesOnLine(X, Line(H, D)); PointLiesOnLine(Y, Line(G, E)); "
... |
geometry3k/train/2058/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 18); Equals(LengthOf(Line(B, C)), 15); Equals(MeasureOf(Angle(C, A, B)), x); Perpendicular(Line(A, C), Lin... |
geometry3k/train/2060/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(X, Y)), 15); Equals(LengthOf(Line(Z, X)), 25); Perpendicular(Line(X, Y), Line(Z, Y)); "
}
] |
geometry3k/train/2061/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(J, K)), 194); PointLiesOnCircle(K, Circle(G, radius_)); PointLiesOnCircle(J, Circle(G, radius_)); "
}
] |
geometry3k/train/2062/img_diagram_point.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), 60); Equals(LengthOf(Line(A, B)), h); Perpendicular(Line(C, B), Line(B, D)); Perpendicular(Line(D, A), Lin... |
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