image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/64/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(H, G, A))); Equals(MeasureOf(Angle(F, H, G)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/train/65/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, D)), 55); Equals(MeasureOf(Angle(G, B, F)), 35); PointLiesOnLine(B, Line(A, D)); PointLiesOnLine(B, Line(G... |
geometry3k/train/66/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, B, C)), 60); Equals(LengthOf(Line(B, C)), 2x+5); Equals(LengthOf(Line(B, A)), 3x-13); Equals(MeasureOf(Angle(... |
geometry3k/train/67/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, T)), x); Equals(LengthOf(Line(Q, R)), 6); Equals(LengthOf(Line(S, Q)), 18); Equals(LengthOf(Line(R, S)), 14); E... |
geometry3k/train/68/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)), 5); Equals(LengthOf(Line(D, C)), 12); Equals(LengthOf(Line(B, C)), 31.2); Perpendicular(Line(D, B), Line(D... |
geometry3k/train/69/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, D, G)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(G, D, F))); Equals(MeasureOf(Angle(... |
geometry3k/train/70/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(L, K)), 2); Equals(LengthOf(Line(J, K)), 12); Equals(LengthOf(Line(M, N)), 6); Equals(LengthOf(Line(M, L)), x); Po... |
geometry3k/train/71/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, E, F)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(G, E, H)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/72/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(4)), MeasureOf(Angle(Z, T, W))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(Z, W, T))); Equals(MeasureOf(Angle(... |
geometry3k/train/73/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)), 4); Equals(LengthOf(Line(Q, R)), x); Equals(LengthOf(Line(Q, P)), y); Equals(LengthOf(Line(S, P)), 2); Per... |
geometry3k/train/74/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)), 12); Equals(MeasureOf(Angle(C, A, B)), x); Equals(LengthOf(Line(B, A)), y); Perpendicular(Line(B, C), Line... |
geometry3k/train/75/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, V, W)), 3x-11); Equals(MeasureOf(Angle(V, U, Z)), x-8); Equals(MeasureOf(Angle(Y, W, V)), x+8); Equals(Measur... |
geometry3k/train/76/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, N)), 10); Equals(LengthOf(Line(B, C)), 30); Equals(LengthOf(Line(C, N)), 5); Perpendicular(Line(C, A), Line(C, ... |
geometry3k/train/77/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, T)), 2y+12); Equals(LengthOf(Line(R, T)), x); Equals(LengthOf(Line(Q, T)), 5y); Equals(LengthOf(Line(T, P)), 5x... |
geometry3k/train/78/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, G, D)), 135); Equals(MeasureOf(Angle(D, G, B)), 145); Equals(MeasureOf(Angle(C, G, E)), x); Equals(MeasureOf(... |
geometry3k/train/79/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)), 4y); Equals(LengthOf(Line(D, E)), 6x-12); Equals(LengthOf(Line(G, F)), 2x+36); Equals(LengthOf(Line(D, G))... |
geometry3k/train/80/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)), 5); Equals(LengthOf(Line(D, B)), 10); Equals(LengthOf(Line(E, B)), x); Equals(LengthOf(Line(B, C)), 12); P... |
geometry3k/train/81/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, B')), 8); Equals(LengthOf(Line(B, Q)), 6); Equals(LengthOf(Line(B, B')), x); PointLiesOnLine(D, Line(Q, A)); Po... |
geometry3k/train/82/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, E)), 9x+7); Equals(MeasureOf(Angle(G, D, E)), 5x); Equals(MeasureOf(Angle(D, E, F)), 5x); PointLiesOnLine(... |
geometry3k/train/83/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)), 12); Equals(LengthOf(Line(E, C)), 17); Equals(LengthOf(Line(E, D)), 17); Equals(LengthOf(Line(E, B)), 12);... |
geometry3k/train/84/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(M, T)), 10-2x); Equals(LengthOf(Line(J, M)), 12-3x); Equals(LengthOf(Line(I, L)), y+4/5); Equals(LengthOf(Line(C, ... |
geometry3k/train/86/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(K, A, J)), MeasureOf(Angle(13))); Equals(MeasureOf(Angle(K, A, E)), MeasureOf(Angle(14))); Equals(MeasureOf(Angl... |
geometry3k/train/87/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(P, Line(Q, M)); PointLiesOnLine(P, Line(R, N)); "
}
] |
geometry3k/train/89/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(S, A, T)), 93); Equals(MeasureOf(Arc(R, S)), x); Equals(LengthOf(Line(S, R)), LengthOf(Line(S, T))); PointLiesOn... |
geometry3k/train/91/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)), x-1); Equals(LengthOf(Line(E, C)), x+2); Equals(LengthOf(Line(E, F)), 8); Equals(LengthOf(Line(A, B)), 3);... |
geometry3k/train/92/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(W, Y), Line(Y, X)); Equals(LengthOf(Line(Y, X)), LengthOf(Line(Y, Z))); PointLiesOnLine(Y, Line(Z, X)); PointLiesOnL... |
geometry3k/train/93/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)), y); Equals(LengthOf(Line(C, D)), 12); Equals(MeasureOf(Angle(C, B, D)), x); Equals(LengthOf(Line(D, B)), 1... |
geometry3k/train/94/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, D, C))); Equals(MeasureOf(Angle(B, H, C)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(... |
geometry3k/train/95/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(B, C)), 170); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircl... |
geometry3k/train/96/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(P, N, O)), 56); Equals(MeasureOf(Angle(M, B, N)), 70); PointLiesOnCircle(O, Circle(B, radius_)); PointLiesOnCirc... |
geometry3k/train/97/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)), 12x+72); Equals(MeasureOf(Angle(B, C, A)), 3y+36); Equals(MeasureOf(Angle(C, A, D)), 25x+20); Equals(... |
geometry3k/train/98/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)), 11); Equals(LengthOf(Line(C, B)), 25); "
}
] |
geometry3k/train/100/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, Q)), 72); Equals(LengthOf(Line(R, Q)), 25); Perpendicular(Line(P, Q), Line(Q, R)); "
}
] |
geometry3k/train/101/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)), 5); Equals(LengthOf(Line(A, N)), x); Equals(LengthOf(Line(A, B)), z); Equals(LengthOf(Line(N, Y)), y); Equ... |
geometry3k/train/102/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, L)), 6); Equals(MeasureOf(Angle(L, K, J)), 148); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J,... |
geometry3k/train/103/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, K, L)), 2x-11); Equals(MeasureOf(Angle(K, J, L)), 2x+27); Equals(MeasureOf(Angle(K, L, A)), 100); PointLiesOn... |
geometry3k/train/104/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)), c); Equals(MeasureOf(Angle(A, B, C)), 60); Equals(LengthOf(Line(C, B)), a); Equals(MeasureOf(Angle(B, A, C... |
geometry3k/train/105/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)), 6); Equals(MeasureOf(Angle(C, A, B)), 30); Equals(LengthOf(Line(A, B)), x... |
geometry3k/train/106/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(F, Line(E, A)); PointLiesOnLine(D, Line(E, C)); PointLiesOnLine(P, Line(E, B)); PointLiesOnLine(B, Line(A, C)); PointLi... |
geometry3k/train/107/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(P, Circle(U, radius_)); PointLiesOnCircle(S, Circle(U, radius_)); PointLiesOnCircle(Q, Circle(U, radius_)); PointLies... |
geometry3k/train/110/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, R, Q)), 115); Perpendicular(Line(R, P), Line(R, N)); PointLiesOnLine(R, Line(P, M)); PointLiesOnCircle(Q, Cir... |
geometry3k/train/111/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)), 12); Equals(LengthOf(Line(C, B)), x); Equals(MeasureOf(Angle(B, A, C)), 30); Equals(MeasureOf(Angle(A, C, ... |
geometry3k/train/113/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(F, E, A))); Equals(MeasureOf(Angle(E, A, B)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
geometry3k/train/115/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(K, Line(G, J)); PointLiesOnLine(K, Line(H, F)); "
}
] |
geometry3k/train/116/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)), 68); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(C, A, B)), 50); Equals(LengthOf(Line(C, ... |
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(A, C)), 5\\sqrt{26}); Equals(MeasureOf(Angle(A, C, D)), x); Equals(LengthOf(Line(C, D)), 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(Y, X)), 4x+5); Equals(LengthOf(Line(Y, W)), 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(V, U)), 15x); Equals(LengthOf(Line(S, T)), 11x-2); Equals(LengthOf(Line(U, T)), 8x+4); Perpendicular(Line(T, 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, A), 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(B, A))); "
}
] |
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(A, B, H)), 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(B, C), Line(A, C)); Equals(LengthOf(Line(D, C)), 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(1)), MeasureOf(Angle(K, D, L))); 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(2)), MeasureOf(Angle(I, C, J))); 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(R, T)... |
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(C, A)), 3x+4); Equals(LengthOf(Line(A, B)), 5x); Perpendicular(Line(B, X), Line(B, A)); 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(A, G)), \\frac{1}{5}x+3); Equals(LengthOf(Line(E, J)), 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(A, B)), 36); Equals(LengthOf(Line(D, A)), 22); Equals(MeasureOf(Angle(E, C, B)), 30); Perpendicular(Line(B, E), 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, C), 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(A, B, C)), 60); Equals(LengthOf(Line(A, B)), LengthOf(c)); Equals(LengthOf(a), LengthOf(Line(C, B))); 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(C, B)), 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(F, B, A)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(A, B, E))); 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(K, J)), x+7); Equals(LengthOf(Line(J, L)), 4x-8); Equals(LengthOf(Line(L, J)), LengthOf(Line(K, 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(B, D)); "
}
] |
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(Line(C, A)), LengthOf(b)); 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(C, B, A)), 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(P, L, M)), 31); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(L, N, M))); Equals(MeasureOf(Angle(1)), MeasureOf(An... |
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(F, A)), \\frac{1}{2}y+20); Equals(LengthOf(Line(C, F)), 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(D, A)); "
}
] |
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(I, J)), \\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, B), Line(D, 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(L, K)), 11); Equals(MeasureOf(Angle(L, J, K)), 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(1)), MeasureOf(Angle(D, C, A))); 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(Line(C, B)), LengthOf(h)); Equals(MeasureOf(Angle(C, A, B)), 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(C, B)), x); Equals(LengthOf(Line(B, D)), 9); Equals(LengthOf(Line(A, C)), 18); Equals(LengthOf(Line(A, D)), 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(K, L, N)), 18); Equals(MeasureOf(Angle(J, L, K)), 25); Equals(MeasureOf(Angle(N, L, M)), 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(B... |
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(X, R), Line(W, S)); Parallel(Line(W, S), Line(V, T)); 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(C, E)); 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(B, C)... |
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(A, C)), 5); Equals(LengthOf(Line(B, C)), 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(D, C)), 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(1)), MeasureOf(Angle(X, Q, R))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(Q, R, S))); 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(4)), MeasureOf(Angle(A, C, I))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(A, C, H))); 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(X, W, Z)), 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(2)), MeasureOf(Angle(D, A, B))); Equals(MeasureOf(Angle(A, D, G)), 36); Equals(MeasureOf(Angle(1)), MeasureOf(An... |
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(W, Y)); "
}
] |
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(T, C, B)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(D, C, B)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(... |
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