images listlengths 0 0 | conversations listlengths 2 2 | id stringlengths 1 5 | source_dataset stringclasses 1
value |
|---|---|---|---|
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()\nChoices:\nA:45°\nB:20°\nC:30°\nD:25°\n\nYou first think through the reason... | 400 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle BAC = 90.0, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()\nChoices:\nA:45°\nB:20°\nC:30°\nD:25°\n\nYou first think through the reasoning process as an internal monologue, enclosed wit... | 401 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle BAC = 90.0, angle B = 50.0, so the degree of angle DAE is ()\nChoices:\nA:45°\nB:20°\nC:30°\nD:25°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> t... | 402 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AE bisects angle DAC, so the degree of angle DAE is ()\nChoices:\nA:45°\nB:20°\nC:30°\nD:25°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, p... | 403 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nIn triangle ABD,... | 404 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the line l parallel m parallel n, the vertices B and C of the triangle ABC are on the line n and line m, the angle between BC and the line n is 25.0, and angle ACB = 60.0, then the degree of angle a is ()\nChoice... | 405 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the line l parallel m parallel n, the angle between BC and the line n is 25.0, and angle ACB = 60.0, then the degree of angle a is ()\nChoices:\nA:25°\nB:30°\nC:35°\nD:45°\n\nYou first think through the reasoning... | 406 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the angle between BC and the line n is 25.0, and angle ACB = 60.0, then the degree of angle a is ()\nChoices:\nA:25°\nB:30°\nC:35°\nD:45°\n\nYou first think through the reasoning process as an internal monologue, e... | 407 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the line l parallel m parallel n, the vertices B and C of the triangle ABC are on the line n and line m, the angle between BC and the line n is 25.0, then the degree of angle a is ()\nChoices:\nA:25°\nB:30°\nC:35... | 408 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nGiven that line ... | 409 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, it is known that in circle O, the central angle angle AOB = 100.0, then the angle of circumference angle ACB is equal to ().\nChoices:\nA:130°\nB:120°\nC:110°\nD:100°\n\nYou first think through the reasoning proces... | 410 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the central angle angle AOB = 100.0, then the angle of circumference angle ACB is equal to ().\nChoices:\nA:130°\nB:120°\nC:110°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, en... | 411 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle AOB = 100.0, then the angle of circumference angle ACB is equal to ().\nChoices:\nA:130°\nB:120°\nC:110°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <thi... | 412 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the angle of circumference angle ACB is equal to ().\nChoices:\nA:130°\nB:120°\nC:110°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. ... | 413 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo find the angl... | 414 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ABC is inscribed in circle O with radius 1.0, if angle BAC = 60.0, then the length of BC is ()\nChoices:\nA:2\nB:2√{3}\nC:√{3}\nD:2√{2}\n\nYou first think through the reasoning process as an internal monol... | 415 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ABC is inscribed in circle O with radius 1.0, if angle BAC = 60.0, then the length of BC is ()\nChoices:\nA:2\nB:2√{3}\nC:√{3}\nD:2√{2}\n\nYou first think through the reasoning process as an internal monol... | 416 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, circle O has a radius 1.0, if angle BAC = 60.0, then the length of BC is ()\nChoices:\nA:2\nB:2√{3}\nC:√{3}\nD:2√{2}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think... | 417 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the length of BC is ()\nChoices:\nA:2\nB:2√{3}\nC:√{3}\nD:2√{2}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer... | 418 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo solve for the... | 419 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the circle O is the circumscribed circle of triangle ABC, and the bisector of angle BAC and angle ABC intersects at point I. Extend AI and it intersects circle O at point D. Connect BD and DC. If the radius of circ... | 420 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the circle O is the circumscribed circle of triangle ABC and the bisector of angle BAC and angle ABC intersects at point I. If the radius of circle O is 8.0, angle BAC = 120.0, then the length of DI is ()\nChoices:... | 421 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if the radius of circle O is 8.0, angle BAC = 120.0, then the length of DI is ()\nChoices:\nA:4√{3}+2\nB:4√{3}+3\nC:8√{3}+1\nD:8√{3}\n\nYou first think through the reasoning process as an internal monologue, enclos... | 422 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the circle O is the circumscribed circle of triangle ABC and the bisector of angle BAC and angle ABC intersects at point I, then the length of DI is ()\nChoices:\nA:4√{3}+2\nB:4√{3}+3\nC:8√{3}+1\nD:8√{3}\n\nYou fir... | 423 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo find the leng... | 424 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, circle O is the circumscribed circle of triangle ABC. Connect OB and OC, if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()\nChoices:\nA:√{3}\nB:2√{3}\nC:4\nD:4√{3}\n\nYou first think t... | 425 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, circle O is the circumscribed circle of triangle ABC. if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()\nChoices:\nA:√{3}\nB:2√{3}\nC:4\nD:4√{3}\n\nYou first think through the reasonin... | 426 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()\nChoices:\nA:√{3}\nB:2√{3}\nC:4\nD:4√{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <t... | 427 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, circle O is the circumscribed circle of triangle ABC. then the length of BC is ()\nChoices:\nA:√{3}\nB:2√{3}\nC:4\nD:4√{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 428 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo determine the... | 429 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB and CD are the two diameters of circle O, chord DE parallel AB, arc DE is the arc of 50.0, then angle BOC is ()\nChoices:\nA:115°\nB:100°\nC:80°\nD:50°\n\nYou first think through the reasoning process as an int... | 430 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, chord DE parallel AB, arc DE is the arc of 50.0, then angle BOC is ()\nChoices:\nA:115°\nB:100°\nC:80°\nD:50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </th... | 431 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()\nChoices:\nA:115°\nB:100°\nC:80°\nD:50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provid... | 432 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, chord DE parallel AB, then angle BOC is ()\nChoices:\nA:115°\nB:100°\nC:80°\nD:50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide yo... | 433 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nIn the context o... | 434 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, points A, B, and C are on circle O, angle ABO = 22.0, angle ACO = 42.0, then angle BOC is equal to ()\nChoices:\nA:128°\nB:108°\nC:86°\nD:64°\n\nYou first think through the reasoning process as an internal monologu... | 435 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ABO = 22.0, angle ACO = 42.0, then angle BOC is equal to ()\nChoices:\nA:128°\nB:108°\nC:86°\nD:64°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ... | 436 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ABO = 22.0, angle ACO = 42.0, then angle BOC is equal to ()\nChoices:\nA:128°\nB:108°\nC:86°\nD:64°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ... | 437 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then angle BOC is equal to ()\nChoices:\nA:128°\nB:108°\nC:86°\nD:64°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answe... | 438 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo find the meas... | 439 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, A, B, C are three points on circle O, angle ACB = 25.0, then the degree of angle BAO is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed w... | 440 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ACB = 25.0, then the degree of angle BAO is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro... | 441 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ACB = 25.0, then the degree of angle BAO is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro... | 442 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the degree of angle BAO is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final an... | 443 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nThis problem inv... | 444 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, it is known that in circle O, angle AOB = 50.0, then the degree of the angle of circumference angle ACB is ()\nChoices:\nA:50°\nB:25°\nC:100°\nD:30°\n\nYou first think through the reasoning process as an internal m... | 445 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle AOB = 50.0, then the degree of the angle of circumference angle ACB is ()\nChoices:\nA:50°\nB:25°\nC:100°\nD:30°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <thi... | 446 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle AOB = 50.0, then the degree of the angle of circumference angle ACB is ()\nChoices:\nA:50°\nB:25°\nC:100°\nD:30°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <thi... | 447 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the degree of the angle of circumference angle ACB is ()\nChoices:\nA:50°\nB:25°\nC:100°\nD:30°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags.... | 448 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo determine the... | 449 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is the diameter of circle O, C and D are two points on circle O, angle BAC = 30.0, arc AD = arc CD. Then angle DAC is equal to ()\nChoices:\nA:70°\nB:45°\nC:30°\nD:25°\n\nYou first think through the reasoning pr... | 450 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle BAC = 30.0, arc AD = arc CD. Then angle DAC is equal to ()\nChoices:\nA:70°\nB:45°\nC:30°\nD:25°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 451 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle BAC = 30.0, arc AD = arc CD. Then angle DAC is equal to ()\nChoices:\nA:70°\nB:45°\nC:30°\nD:25°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 452 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, arc AD = arc CD. Then angle DAC is equal to ()\nChoices:\nA:70°\nB:45°\nC:30°\nD:25°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide y... | 453 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nSince the measur... | 454 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is the diameter of circle O, C and D are two points on the circle, angle D = 34.0, then the degree of angle BOC is ()\nChoices:\nA:102°\nB:112°\nC:122°\nD:132°\n\nYou first think through the reasoning process as... | 455 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle D = 34.0, then the degree of angle BOC is ()\nChoices:\nA:102°\nB:112°\nC:122°\nD:132°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, p... | 456 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle D = 34.0, then the degree of angle BOC is ()\nChoices:\nA:102°\nB:112°\nC:122°\nD:132°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, p... | 457 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the degree of angle BOC is ()\nChoices:\nA:102°\nB:112°\nC:122°\nD:132°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your fina... | 458 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nIn the figure, w... | 459 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, points A, B, and C are all on circle O, when angle OBC = 40.0, the degree of angle A is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed w... | 460 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, when angle OBC = 40.0, the degree of angle A is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provi... | 461 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, when angle OBC = 40.0, the degree of angle A is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provi... | 462 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the degree of angle A is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer en... | 463 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo find the degr... | 464 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the diameter AB of circle O is perpendicular to the chord CD, the foot of perpendicular is the point E, angle CAO = 22.5, OC = 6.0, then the length of CD is ()\nChoices:\nA:6√{2}\nB:3√{2}\nC:6\nD:12\n\nYou first th... | 465 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()\nChoices:\nA:6√{2}\nB:3√{2}\nC:6\nD:12\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then,... | 466 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()\nChoices:\nA:6√{2}\nB:3√{2}\nC:6\nD:12\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then,... | 467 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the length of CD is ()\nChoices:\nA:6√{2}\nB:3√{2}\nC:6\nD:12\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer e... | 468 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nGiven that angle... | 469 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in circle O, chord BC and radius OA intersect at point D. Connect AB and OC. If angle A = 60.0, angle ADC = 90.0, then the degree of angle C is ()\nChoices:\nA:25°\nB:27.5°\nC:30°\nD:35°\n\nYou first think through ... | 470 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If angle A = 60.0, angle ADC = 90.0, then the degree of angle C is ()\nChoices:\nA:25°\nB:27.5°\nC:30°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </thi... | 471 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If angle A = 60.0, angle ADC = 90.0, then the degree of angle C is ()\nChoices:\nA:25°\nB:27.5°\nC:30°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </thi... | 472 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the degree of angle C is ()\nChoices:\nA:25°\nB:27.5°\nC:30°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final an... | 473 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "To determine the measure ... | 474 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, points A, B, and P are three points on circle O, if angle AOB = 40.0, then the degree of angle APB is ()\nChoices:\nA:80°\nB:140°\nC:20°\nD:50°\n\nYou first think through the reasoning process as an internal monolo... | 475 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle AOB = 40.0, then the degree of angle APB is ()\nChoices:\nA:80°\nB:140°\nC:20°\nD:50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then,... | 476 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle AOB = 40.0, then the degree of angle APB is ()\nChoices:\nA:80°\nB:140°\nC:20°\nD:50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then,... | 477 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the degree of angle APB is ()\nChoices:\nA:80°\nB:140°\nC:20°\nD:50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final a... | 478 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo determine the... | 479 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is the chord of circle O, OC perpendicular AB and it intersects circle O at point C. Connect OA, OB, BC, if angle ABC = 25.0, then the size of angle AOB is ()\nChoices:\nA:80°\nB:90°\nC:100°\nD:120°\n\nYou firs... | 480 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, OC perpendicular AB and it intersects circle O at point C. if angle ABC = 25.0, then the size of angle AOB is ()\nChoices:\nA:80°\nB:90°\nC:100°\nD:120°\n\nYou first think through the reasoning process as an intern... | 481 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle ABC = 25.0, then the size of angle AOB is ()\nChoices:\nA:80°\nB:90°\nC:100°\nD:120°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, ... | 482 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, OC perpendicular AB and it intersects circle O at point C. then the size of angle AOB is ()\nChoices:\nA:80°\nB:90°\nC:100°\nD:120°\n\nYou first think through the reasoning process as an internal monologue, enclose... | 483 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nSince OC is perp... | 484 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()\nChoices:\nA:50°\nB:40°\nC:130°\nD:80°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <t... | 485 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()\nChoices:\nA:50°\nB:40°\nC:130°\nD:80°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <t... | 486 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()\nChoices:\nA:50°\nB:40°\nC:130°\nD:80°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <t... | 487 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, given the angle of circumference, then the size of angle OBC is ()\nChoices:\nA:50°\nB:40°\nC:130°\nD:80°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ... | 488 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nTo solve for the... | 489 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is the diameter of circle O, CD is the chord of circle O, angle ADC = 26.0, then the degree of angle CAB is ()\nChoices:\nA:26°\nB:74°\nC:64°\nD:54°\n102\n\nYou first think through the reasoning process as an in... | 490 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ADC = 26.0, then the degree of angle CAB is ()\nChoices:\nA:26°\nB:74°\nC:64°\nD:54°\n102\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then... | 491 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ADC = 26.0, then the degree of angle CAB is ()\nChoices:\nA:26°\nB:74°\nC:64°\nD:54°\n102\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then... | 492 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the degree of angle CAB is ()\nChoices:\nA:26°\nB:74°\nC:64°\nD:54°\n102\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your fin... | 493 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "<think>\nIn the given cir... | 494 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in circle O, AB is the diameter, CD is the chord, AB perpendicular CD, the foot of perpendicular is the point E. Connect CO and AD, if angle BOC = 30.0, then the degree of angle BAD is ()\nChoices:\nA:30°\nB:25°\n... | 495 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle BOC = 30.0, then the degree of angle BAD is ()\nChoices:\nA:30°\nB:25°\nC:20°\nD:15°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, ... | 496 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle BOC = 30.0, then the degree of angle BAD is ()\nChoices:\nA:30°\nB:25°\nC:20°\nD:15°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, ... | 497 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the degree of angle BAD is ()\nChoices:\nA:30°\nB:25°\nC:20°\nD:15°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final an... | 498 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}."
},
{
"from": "gpt",
"value": "To determine the measure ... | 499 | AI4Math_MathVerse/baseline/rollout_8 |
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