image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/119/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, A)), 5\\sqrt{26}); Equals(MeasureOf(Angle(D, C, A)), x); Equals(LengthOf(Line(D, C)), 5); Equals(LengthOf(Line(... |
geometry3k/train/120/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, F, D)), MeasureOf(Angle(8))); PointLiesOnLine(B, Line(A, E)); PointLiesOnLine(A, Line(E, F)); PointLiesOnLine... |
geometry3k/train/121/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)), 4x+5); Equals(LengthOf(Line(W, Y)), 6x+3); Equals(LengthOf(Line(X, W)), 9x); Equals(LengthOf(Line(W, Y)), ... |
geometry3k/train/122/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(U, V)), 15x); Equals(LengthOf(Line(T, S)), 11x-2); Equals(LengthOf(Line(T, U)), 8x+4); Perpendicular(Line(R, S), L... |
geometry3k/train/123/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, C)), 37); Equals(LengthOf(Line(E, C)), 24); Equals(LengthOf(Line(B, C)), 20); Perpendicular(Line(E, C), Li... |
geometry3k/train/124/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(B, C)), 4w-7); Equals(LengthOf(Line(U, T)), z+16); Equals(MeasureOf(Angle(C, B, E)), 2x+9); Equals(MeasureOf(Angle... |
geometry3k/train/125/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)), 12); Equals(MeasureOf(Angle(B, A, C)), 44); Equals(LengthOf(Line(C, B)), LengthOf(Line(A, B))); "
}
] |
geometry3k/train/126/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, W), Line(X, Y)); Perpendicular(Line(W, Z), Line(X, W)); Perpendicular(Line(Z, Y), Line(Y, X)); Perpendicular(Line... |
geometry3k/train/127/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(H, B, A)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(E, A, J)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/train/128/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, A)), 2.5); Perpendicular(Line(A, C), Line(C, B)); Equals(LengthOf(Line(C, D)), LengthOf(Line(C, B))); PointLies... |
geometry3k/train/129/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(L, D, K)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(H, D, L))); Equals(MeasureOf(Angle(... |
geometry3k/train/130/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(J, C, I)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(J, C, N))); Equals(MeasureOf(Angle(... |
geometry3k/train/131/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, S)), 4); Equals(LengthOf(Line(S, R)), 5); Equals(LengthOf(Line(T, R)), 3); Perpendicular(Line(T, S), Line(T, R)... |
geometry3k/train/132/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)), 3x+4); Equals(LengthOf(Line(B, A)), 5x); Perpendicular(Line(B, A), Line(X, B)); Perpendicular(Line(A, C), ... |
geometry3k/train/133/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, C)), 2y+1); Equals(LengthOf(Line(G, A)), \\frac{1}{5}x+3); Equals(LengthOf(Line(J, E)), 5y-8); Equals(LengthOf(... |
geometry3k/train/135/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, A)), 36); Equals(LengthOf(Line(D, A)), 22); Equals(MeasureOf(Angle(B, C, E)), 30); Perpendicular(Line(E, C), Li... |
geometry3k/train/136/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)), 44); Equals(MeasureOf(Angle(A, C, E)), 30); Equals(LengthOf(Line(E, A)), 19); Perpendicular(Line(E, D), Li... |
geometry3k/train/138/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(C, B, A)), 60); Equals(LengthOf(c), LengthOf(Line(B, A))); Equals(LengthOf(a), LengthOf(Line(B, C))); Equals(Mea... |
geometry3k/train/139/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, B, C)), 10); Equals(LengthOf(Line(B, C)), 3); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(C, ... |
geometry3k/train/140/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(2)), MeasureOf(Angle(F, B, A))); Equals(MeasureOf(Angle(E, B, A)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(... |
geometry3k/train/141/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(J, K)), 33); Equals(LengthOf(Line(L, K)), x); Equals(MeasureOf(Angle(K, L, J)), 49); Perpendicular(Line(J, K), Lin... |
geometry3k/train/142/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(J, K)), x+7); Equals(LengthOf(Line(J, L)), 4x-8); Equals(LengthOf(Line(J, K)), LengthOf(Line(L, J))); Equals(Lengt... |
geometry3k/train/145/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); PointLiesOnLine(E, Line(C, A)); PointLiesOnLine(E, Line(D, B)); "
}
] |
geometry3k/train/146/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)), x); Equals(LengthOf(Line(B, C)), 5\\sqrt{2}); Perpendicular(Line(A, B), L... |
geometry3k/train/147/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(c), LengthOf(Line(B, A))); Equals(LengthOf(a), LengthOf(Line(B, C))); Equals(LengthOf(b), LengthOf(Line(A, C))); Perpen... |
geometry3k/train/148/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(B, A)), 5); Equals(MeasureOf(Angle(A, B, C)), 46); PointLiesOnCircle(C, Circle(B, radius_)); PointLiesOnCircle(A, ... |
geometry3k/train/149/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(M, L, P)), 31); Equals(MeasureOf(Angle(M, N, L)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(P, N, Q)), Measur... |
geometry3k/train/151/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, B)), 3); Equals(LengthOf(Line(B, A)), LengthOf(n)); Equals(MeasureOf(Angle(A, B, C)), 2x); Equals(MeasureOf(Ang... |
geometry3k/train/152/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(G, C)), 20-3x); Equals(LengthOf(Line(A, F)), \\frac{1}{2}y+20); Equals(LengthOf(Line(F, C)), 3y); Equals(LengthOf(... |
geometry3k/train/153/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, A)), 5x); Equals(MeasureOf(Angle(D, C, B)), 3x); PointLiesOnLine(C, Line(A, D)); "
}
] |
geometry3k/train/156/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, I)), \\frac{4}{2}y+1); Equals(LengthOf(Line(A, H)), 6-x); Equals(LengthOf(Line(E, N)), 2y); Equals(LengthOf(Lin... |
geometry3k/train/157/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, A)), 27); Equals(LengthOf(Line(C, H)), 7); Equals(MeasureOf(Angle(A, B, C)), 135); Perpendicular(Line(B, I), Li... |
geometry3k/train/158/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, Y, X)), 2x); Equals(MeasureOf(Angle(Y, X, W)), x); Equals(MeasureOf(Angle(X, W, A)), 3x); Equals(MeasureOf(An... |
geometry3k/train/159/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, E)), 4\\sqrt{2}); Perpendicular(Line(B, C), Line(C, E)); Equals(LengthOf(B, C), LengthOf(C, E)); PointLiesOnLin... |
geometry3k/train/161/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, Q, B)), x+24); Equals(MeasureOf(Angle(A, C, D)), 3x); PointLiesOnLine(G, Line(C, A)); PointLiesOnLine(G, Line... |
geometry3k/train/163/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, H)), 6); Perpendicular(Line(H, D), Line(B, H)); Equals(LengthOf(Line(F, E)), 6); Equals(LengthOf(Line(E, A)), 6... |
geometry3k/train/165/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(K, J)), 11); Equals(LengthOf(Line(K, L)), 11); Equals(MeasureOf(Angle(K, J, L)), 60); Equals(LengthOf(Line(M, L)),... |
geometry3k/train/166/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, C, D)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(D, C, F)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/168/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(M, P, Q)), 4x); Equals(MeasureOf(Angle(R, Q, P)), 2x); Equals(MeasureOf(Angle(R, M, P)), x); Equals(MeasureOf(An... |
geometry3k/train/169/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(h), LengthOf(Line(C, B))); Equals(MeasureOf(Angle(B, A, C)), 45); Equals(LengthOf(Line(B, A)), 15); Perpendicular(Line(... |
geometry3k/train/170/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(B, D)), 9); Equals(LengthOf(Line(A, C)), 18); Equals(LengthOf(Line(D, A)), 24); E... |
geometry3k/train/172/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)), 2x-16); Equals(MeasureOf(Angle(S, R, Q)), 2x); Equals(MeasureOf(Angle(P, S, R)), x+10); Equals(Measur... |
geometry3k/train/173/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(N, L, K)), 18); Equals(MeasureOf(Angle(K, L, J)), 25); Equals(MeasureOf(Angle(M, L, N)), 20); Equals(LengthOf(Li... |
geometry3k/train/174/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, G, C)), 60); Perpendicular(Line(G, A), Line(G, D)); PointLiesOnLine(G, Line(E, C)); PointLiesOnLine(G, Line(A... |
geometry3k/train/175/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(W, S), Line(R, X)); Parallel(Line(T, V), Line(W, S)); PointLiesOnLine(R, Line(S, Q)); PointLiesOnLine(R, Line(Q, T)); Poi... |
geometry3k/train/176/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)), 42); PointLiesOnLine(A, Line(D, B)); PointLiesOnLine(A, Line(E, C)); PointLiesOnCircle(D, Circle(A, r... |
geometry3k/train/177/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, B, G)), 30); Equals(LengthOf(Line(C, A)), 15); Equals(LengthOf(Line(B, C)), x); PointLiesOnLine(G, Line(C, B)... |
geometry3k/train/179/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, A, C)), 60); Equals(LengthOf(Line(B, A)), y); Equals(LengthOf(Line(C, A)), 5); Equals(LengthOf(Line(C, B)), x... |
geometry3k/train/180/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, D)), 115); Equals(LengthOf(Line(C, B)), 18); Equals(LengthOf(Line(C, D)), 12); "
}
] |
geometry3k/train/181/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(R, Q, X)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(S, R, Q)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/182/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(I, C, A)), MeasureOf(Angle(4))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(H, C, A))); Equals(MeasureOf(Angle(... |
geometry3k/train/183/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(Y, Z, W)), 60); Equals(MeasureOf(Angle(Z, W, X)), 95); PointLiesOnCircle(Y, Circle(V, radius_)); PointLiesOnCirc... |
geometry3k/train/184/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, A, B)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(G, D, A)), 36); Equals(MeasureOf(Angle(A, G, D)), Measur... |
geometry3k/train/185/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(A, Line(Z, X)); PointLiesOnLine(A, Line(Y, W)); "
}
] |
geometry3k/train/186/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, T)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(D, C, B)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/187/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, F)), 3); Equals(MeasureOf(Angle(E, A, D)), 130); Equals(MeasureOf(Angle(C, A, D)), MeasureOf(Angle(B, A, E))); ... |
geometry3k/train/188/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(U, T, S)), 4x+6); Equals(MeasureOf(Angle(S, R, U)), 6x-54); "
}
] |
geometry3k/train/189/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, C)), 27); Equals(LengthOf(Line(B, A)), 2x+5); Equals(LengthOf(Line(B, C)), 3x-4); Equals(LengthOf(Line(B, A)), ... |
geometry3k/train/190/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(E, Line(D, A)); PointLiesOnLine(B, Line(A, D)); PointLiesOnLine(B, Line(E, D)); PointLiesOnLine(E, Line(A, B)); PointLi... |
geometry3k/train/191/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, C, B)), 32); Equals(MeasureOf(Angle(G, B, A)), 34); Equals(LengthOf(Line(A, G)), 15); Equals(LengthOf(Line(E,... |
geometry3k/train/192/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(T, V, U)), 23); PointLiesOnCircle(V, Circle(D, radius_)); PointLiesOnCircle(T, Circle(D, radius_)); PointLiesOnC... |
geometry3k/train/193/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(W, V)), 3x-6); Equals(LengthOf(Line(Y, W)), 5); Equals(LengthOf(Line(W, Z)), 6); Equals(LengthOf(Line(X, W)), x+4)... |
geometry3k/train/194/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(T, B, V)), 68); Equals(MeasureOf(Angle(T, R, V)), 23); PointLiesOnLine(U, Line(V, R)); PointLiesOnLine(S, Line(R... |
geometry3k/train/195/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)), x); Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(C, D)), z); Equals(LengthOf(Line(B, A)), 12); Eq... |
geometry3k/train/196/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(G, A)), 12); Equals(LengthOf(Line(A, H)), 6); Equals(LengthOf(Line(A, F)), x); Equals(LengthOf(Line(A, E)), 5); Po... |
geometry3k/train/198/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)), 11); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(C, A, B)), 110); Equals(MeasureOf(Angle(A, B,... |
geometry3k/train/199/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(V, U, T)), 3x-4); Equals(MeasureOf(Angle(W, V, U)), x); Equals(MeasureOf(Angle(T, W, V)), 3x-4); Equals(MeasureO... |
geometry3k/train/200/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(B, Line(A, C)); "
}
] |
geometry3k/train/201/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, K)), x+2); Equals(LengthOf(Line(B, J)), x); Equals(LengthOf(Line(L, B)), x+10); Equals(LengthOf(Line(B, M)), x+... |
geometry3k/train/202/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, B)), 15); Equals(LengthOf(Line(C, B)), 8); Equals(LengthOf(Line(C, F)), x); Perpendicular(Line(C, B), Line(C, F... |
geometry3k/train/205/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, D)), 75); Equals(MeasureOf(Angle(C, A, E)), 28); Equals(MeasureOf(Angle(B, E, A)), MeasureOf(Angle(2))); E... |
geometry3k/train/206/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(3)), MeasureOf(Angle(E, D, C))); Equals(MeasureOf(Angle(A, B, C)), 32); PointLiesOnLine(E, Line(D, A)); PointLie... |
geometry3k/train/207/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, D)), 3.5); Equals(LengthOf(Line(A, B)), 3); Equals(LengthOf(Line(C, A)), 5); Equals(LengthOf(Line(D, E)), 3); E... |
geometry3k/train/208/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)), 6); Equals(LengthOf(Line(F, D)), 5); Equals(LengthOf(Line(D, E)), LengthOf(Line(E, C))); Equals(LengthOf(L... |
geometry3k/train/209/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)), 16); Equals(LengthOf(Line(C, D)), 23); Equals(MeasureOf(Angle(E, D, B)), 60); Perpendicular(Line(E, B), Li... |
geometry3k/train/210/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, N, M)), 2x-5); Equals(LengthOf(Line(L, M)), LengthOf(Line(M, N))); PointLiesOnLine(B, Line(N, L)); PointLiesO... |
geometry3k/train/211/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(I, Z, Y)), 20); Equals(MeasureOf(Angle(W, X, H)), 130); PointLiesOnLine(H, Line(G, I)); PointLiesOnLine(H, Line(... |
geometry3k/train/213/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)), x); Equals(LengthOf(Line(A, B)), 16); Perpendicular(Line(B, C), Line(A, C... |
geometry3k/train/215/img_diagram.png | [
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/216/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, J)), LengthOf(Line(F, H))); Equals(LengthOf(Line(G, F)), LengthOf(Line(G, H))); "
}
] |
geometry3k/train/217/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, N)), \\frac{1}{4}x+6); Equals(LengthOf(Line(P, I)), 12-3y); Equals(LengthOf(Line(D, P)), 16-5y); Equals(LengthO... |
geometry3k/train/218/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(V, T, U)), 74); Equals(LengthOf(Line(T, V)), LengthOf(Line(T, U))); "
}
] |
geometry3k/train/219/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)), 22); Equals(LengthOf(Line(B, D)), 14); Equals(LengthOf(Line(A, C)), 14); Equals(LengthOf(Line(C, D)), 22);... |
geometry3k/train/220/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, C)), 95); Equals(MeasureOf(Angle(B, D, E)), 109); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(C, E, B))); ... |
geometry3k/train/221/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(N, P), Line(C, P)); Equals(LengthOf(Line(M, A)), LengthOf(Line(D, C))); Equals(LengthOf(Line(A, M)), LengthOf(Line(M... |
geometry3k/train/224/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(L, K, J)), 85); Equals(LengthOf(Line(K, L)), 9.3); PointLiesOnCircle(J, Circle(K, radius_)); PointLiesOnCircle(L... |
geometry3k/train/225/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(Z, W, X)), 70); Equals(MeasureOf(Angle(X, Y, Z)), 56); Equals(LengthOf(Line(Z, W)), LengthOf(Line(W, X))); Equal... |
geometry3k/train/227/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(N, Line(F, D)); PointLiesOnCircle(E, Circle(N, radius_)); PointLiesOnCircle(F, Circle(N, radius_)); PointLiesOnCircle(C... |
geometry3k/train/228/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, B, C)), y); Equals(LengthOf(Line(B, A)), 20); Equals(LengthOf(Line(C, B)), x); Equals(LengthOf(Line(C, A)), 1... |
geometry3k/train/229/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)), 40); Equals(LengthOf(Line(D, S)), 28); Equals(LengthOf(Line(D, B)), 38); Perpendicular(Line(S, D), Line(B,... |
geometry3k/train/230/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, D)), 5x-6); Equals(LengthOf(Line(C, D)), 3x+4); Perpendicular(Line(B, D), Line(D, A)); Equals(LengthOf(Line(B, ... |
geometry3k/train/231/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, A, B)), 4x); Equals(MeasureOf(Angle(C, B, A)), x); Equals(MeasureOf(Angle(A, C, B)), 29); PointLiesOnLine(A, ... |
geometry3k/train/232/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(M, N), Line(Y, Z)); PointLiesOnLine(M, Line(X, Y)); PointLiesOnLine(N, Line(X, Z)); "
}
] |
geometry3k/train/234/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(A, C), Line(C, E)); Perpendicular(Line(E, C), Line(D, E)); Perpendicular(Line(D, A), Line(D, C)); PointLiesOnLine(E,... |
geometry3k/train/236/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, W)), 4); Equals(MeasureOf(Angle(X, Y, W)), 23); Equals(LengthOf(Line(Z, W)), 4); Perpendicular(Line(X, Y), Line... |
geometry3k/train/237/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(I, F, A)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(A, F, E))); Equals(MeasureOf(Angle(... |
geometry3k/train/238/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(N, P)), 120); Equals(MeasureOf(Arc(P, Q)), 100); PointLiesOnCircle(P, Circle(A, radius_)); PointLiesOnCircle(Q, Ci... |
geometry3k/train/239/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(S, V), Line(R, S)); Perpendicular(Line(U, V), Line(T, V)); Perpendicular(Line(R, U), Line(U, S)); PointLiesOnLine(V,... |
geometry3k/train/241/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, J)), LengthOf(Line(K, R))); Equals(LengthOf(Line(T, J)), LengthOf(Line(L, T))); Equals(LengthOf(Line(S, K)), Le... |
geometry3k/train/242/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(S, T, R)), 50); Equals(LengthOf(Line(T, R)), LengthOf(Line(S, T))); "
}
] |
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