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cobordism

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mixed_pa-le-an-30k

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{ "from": [ "human", "assistant" ], "value": [ "Based on what I see in the image, is the radius of the circle given?", "Yes, based on what I see in the image, the radius of the circle is 301." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles T, C, V, and S, how many of them are acute?", "4" ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles Y, E, S, and G, how many of them are acute?", "3." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles P, H, S, and W, how many of them are right?", "One of them is right." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, a circle is visible." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is point I closer to point F than point V?", "No, point I is farther from point F than point V." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is longer, line o or line Q?", "Line Q is longer than line o." ] }

{ "from": [ "human", "assistant" ], "value": [ "Based on what I see in the image, is the radius of the circle given?", "Yes, based on what I see in the image, the radius of the circle is 219." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is parallel to line LB in the image?", "Line RH is parallel to line LB." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles L, I, T, and O, how many of them are acute?", "3." ] }

{ "from": [ "human", "assistant" ], "value": [ "Based on what I see in the image, is the radius of the circle given?", "Yes, based on what I see in the image, the radius of the circle is 699." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is triangle HNQ an acute-angled triangle?", "Yes, triangle HNQ is an acute-angled triangle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, is the radius of the circle with center U shown?", "No, in the image, the radius of the circle with center U is not shown." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, is the radius of the circle with center R shown?", "No, in the image, the radius of the circle with center R is not shown." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, is the radius of the circle with center B shown?", "No, in the image, the radius of the circle with center B is not shown." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles E, Z, O, which is obtuse, acute, and right?", "E is right, Z is obtuse, and O is acute." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is NOT parallel to Line WE? 1. RA, 2. EQ", "2. Line EQ is not parallel to line WE." ] }

{ "from": [ "human", "assistant" ], "value": [ "Name one center of any circle in the image.", "The center of some circle I see in the image is Point N." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is NOT parallel to Line RF? 1. LT, 2. IE", "1. Line LT is not parallel to line RF." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, how many lines are not parallel with Line CU?", "I see 3 lines that are not parallel with CU." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, how many lines are not parallel with Line KH?", "I see 1 lines that are not parallel with KH." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is the triangle QTY a right triangle?", "No, the triangle QTY is acute." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, is the radius of the circle with center H shown?", "No, in the image, the radius of the circle with center H is not shown." ] }

{ "from": [ "human", "assistant" ], "value": [ "Between point S and O, which point is the most distant from point M?", "Point S is the most distant from point M." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, is the radius of the circle with center Q shown?", "No, in the image, the radius of the circle with center Q is not shown." ] }

{ "from": [ "human", "assistant" ], "value": [ "Name one center of any circle in the image.", "The center of some circle I see in the image is Point M." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is parallel to line DB in the image?", "Line PZ is parallel to line DB." ] }

{ "from": [ "human", "assistant" ], "value": [ "Do angles Q and E add up to more than a right angle?", "No, angles Q and E do not add up to more than a right angle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Are line OL and the diameter of the circle centered at F equal in length?", "No, line OL is longer than the diameter of the circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Can you name any circle in the image?", "In the image, there's a circle centered at A." ] }

{ "from": [ "human", "assistant" ], "value": [ "Can you name any circle in the image?", "In the image, there's a circle centered at T." ] }

{ "from": [ "human", "assistant" ], "value": [ "Name one center of any circle in the image.", "The center of some circle I see in the image is Point L." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is parallel to line VG in the image?", "Line OM is parallel to line VG." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is line NQ shorter than line FL?", "Yes, line NQ is shorter than line FL." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, is the radius of the circle with center U shown?", "No, in the image, the radius of the circle with center U is not shown." ] }

{ "from": [ "human", "assistant" ], "value": [ "Can you name any circle in the image?", "In the image, there's a circle centered at L." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is triangle CSM an acute-angled triangle?", "Yes, triangle CSM is an acute-angled triangle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among all points shown, which one is the most distant from point U?", "Point P is the most distant from point U." ] }

{ "from": [ "human", "assistant" ], "value": [ "Can you name any circle in the image?", "In the image, there's a circle centered at A with radius 482." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is triangle NIP an acute-angled triangle?", "Yes, triangle NIP is an acute-angled triangle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, is the radius of the circle with center G shown?", "No, in the image, the radius of the circle with center G is not shown." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, which line is parallel to line TT?", "Line CD is parallel to line TT." ] }

{ "from": [ "human", "assistant" ], "value": [ "Can you name any circle in the image?", "In the image, there's a circle centered at R with radius 333." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is the triangle WNK acute?", "Yes, the triangle WNK is acute." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is the angle GKJ obtuse?", "Yes, the angle GKJ is obtuse." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is the sum of the angles V and L more than 90 degrees?", "No, the sum of the angles V and L does not exceed 90 degrees." ] }

{ "from": [ "human", "assistant" ], "value": [ "Does the sum of the angles Z and F exceed 180 degrees?", "No, the sum of the angles Z and F does not exceed 180 degrees." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Name one center of any circle in the image.", "The center of some circle I see in the image is Point I." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is parallel to line LS in the image?", "Line BM is parallel to line LS." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Does angle XLB measure more than a right angle?", "Yes, angle XLB measures more than a right angle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Does the sum of the angles N and Z exceed 180 degrees?", "No, the sum of the angles N and Z does not exceed 180 degrees." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Looking at the image, which line is parallel with line BG?", "Line HV is parallel with line BG." ] }

{ "from": [ "human", "assistant" ], "value": [ "Do angles H and G add up to more than a right angle?", "No, angles H and G do not add up to more than a right angle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, which line is longer, line OX or line VY?", "Line VY is longer than line OX." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is parallel to line QO in the image?", "Line FI is parallel to line QO." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles A, T, Q, and G, how many of them are acute?", "3." ] }

{ "from": [ "human", "assistant" ], "value": [ "Can you identify the line that runs parallel to line JN in the picture?", "Line ZI and line JN are parallel." ] }

{ "from": [ "human", "assistant" ], "value": [ "Name one center of any circle in the image.", "The center of some circle I see in the image is Point V." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which angle is obtuse, FOD or FOT?", "The angle FOT is obtuse." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, is the radius of the circle with center U shown?", "No, in the image, the radius of the circle with center U is not shown." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles L, B, U, and J, which of them are acute?", "All of them looks acute." ] }

{ "from": [ "human", "assistant" ], "value": [ "Name one center of any circle in the image.", "The center of some circle I see in the image is Point O." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles S, Q, A, and E, which of them are acute?", "A and S are acute while Q and E are obtuse." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is the radius of the circle centered at U equal in length to line HY?", "No, line HY is longer than the radius of the circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, which line is longer, line YU or line KR?", "Line KR is longer than line YU." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, a circle is visible." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles W, T, Z, and Y, how many of them are obtuse?", "All of the angles are acute, so the answer is 0." ] }

{ "from": [ "human", "assistant" ], "value": [ "Name one center of any circle in the image.", "The center of some circle I see in the image is Point Z." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is longer, line r or line W?", "Line W is longer than line r." ] }

{ "from": [ "human", "assistant" ], "value": [ "Name one center of any circle in the image.", "The center of some circle I see in the image is Point U." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among line segments d, z and N, which one is the shortest?", "Line z is the shortest." ] }

{ "from": [ "human", "assistant" ], "value": [ "Based on what I see in the image, is the radius of the circle given?", "Yes, based on what I see in the image, the radius of the circle is 376." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Does angle OYP measure less than a right angle?", "Yes, angle OYP measures less than a right angle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is line VK shorter than the radius of the circle centered at Q?", "No, line VK is equal in length to the radius of the circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Which line is NOT parallel to Line GJ? 1. JV, 2. LN", "2. Line LN is not parallel to line GJ." ] }

{ "from": [ "human", "assistant" ], "value": [ "Among the angles X, M, C, and Q, how many of them are acute?", "One of them is acute." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, which line is parallel to line TE?", "Line QC is parallel to line TE." ] }

{ "from": [ "human", "assistant" ], "value": [ "In the image, do I see a circle?", "Yes, in the image, I see a circle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Is angle KDS an obtuse angle?", "No, angle KDS is an acute angle." ] }

{ "from": [ "human", "assistant" ], "value": [ "Are lines m and S the same length?", "No, line S is longer than line m." ] }

{ "from": [ "human", "assistant" ], "value": [ "Are lines UN and QI equal in length?", "No, line QI is longer than line UN." ] }