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, AB parallel CD, point E is on BC, and CD = CE, angle D = 74.0, then the degree of angle B is ()\nChoices:\nA:74°\nB:32°\nC:22°\nD:16°\n\nYou first think through the reasoning process as an internal monologue, enclo... | 300 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, and CD = CE, angle D = 74.0, then the degree of angle B is ()\nChoices:\nA:74°\nB:32°\nC:22°\nD:16°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think>... | 301 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle D = 74.0, then the degree of angle B is ()\nChoices:\nA:74°\nB:32°\nC:22°\nD:16°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide... | 302 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, and CD = CE, then the degree of angle B is ()\nChoices:\nA:74°\nB:32°\nC:22°\nD:16°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. ... | 303 | 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 CD is para... | 304 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, point E is on the extended line of CA. If angle BAE = 40.0, then the size of angle ACD is ()\nChoices:\nA:150°\nB:140°\nC:130°\nD:120°\n\nYou first think through the reasoning process as an internal... | 305 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, If angle BAE = 40.0, then the size of angle ACD is ()\nChoices:\nA:150°\nB:140°\nC:130°\nD:120°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </t... | 306 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If angle BAE = 40.0, then the size of angle ACD is ()\nChoices:\nA:150°\nB:140°\nC:130°\nD:120°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then... | 307 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, then the size of angle ACD is ()\nChoices:\nA:150°\nB:140°\nC:130°\nD:120°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro... | 308 | 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... | 309 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, use the benchmark BE to measure the height of the tree CD. EB and DC are perpendicular to AC, If the length of the benchmark BE is 2.0, AB = 3.0, AC = 9.0, and the points A, E, and D are on a straight line, then th... | 310 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if the length of the benchmark BE is 2.0, AB = 3.0, AC = 9.0, then the tree CD is ()\nChoices:\nA:6米\nB:7.5米\nC:8米\nD:8.5米\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 311 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if the length of the benchmark BE is 2.0, AB = 3.0, AC = 9.0, then the tree CD is ()\nChoices:\nA:6米\nB:7.5米\nC:8米\nD:8.5米\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 312 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the tree CD is ()\nChoices:\nA:6米\nB:7.5米\nC:8米\nD:8.5米\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed wit... | 313 | 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... | 314 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAfter filling some oil in a cylindrical oil tank with a diameter of 200.0, the cross section is shown in the figure. If the width of the oil surface AB = 160.0, the maximum depth of oil is ()\nChoices:\nA:40cm\nB:60cm\nC:80cm\nD:100cm\n\n... | 315 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAfter filling some oil in a cylindrical oil tank, the maximum depth of oil is ()\nChoices:\nA:40cm\nB:60cm\nC:80cm\nD:100cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. ... | 316 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAfter filling some oil in a cylindrical oil tank, the maximum depth of oil is ()\nChoices:\nA:40cm\nB:60cm\nC:80cm\nD:100cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. ... | 317 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAfter filling some oil in a cylindrical oil tank, the maximum depth of oil is ()\nChoices:\nA:40cm\nB:60cm\nC:80cm\nD:100cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. ... | 318 | 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>\nThe maximum dept... | 319 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 1 = angle 2, angle 4 = 30.0, then angle 3 is equal to ()\nChoices:\nA:120°\nB:130°\nC:145°\nD:150°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> t... | 320 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 1 = angle 2, angle 4 = 30.0, then angle 3 is equal to ()\nChoices:\nA:120°\nB:130°\nC:145°\nD:150°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> t... | 321 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 4 = 30.0, then angle 3 is equal to ()\nChoices:\nA:120°\nB:130°\nC:145°\nD:150°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide ... | 322 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 1 = angle 2, then angle 3 is equal to ()\nChoices:\nA:120°\nB:130°\nC:145°\nD:150°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provi... | 323 | 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 angle 2 = ... | 324 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()\nChoices:\nA:40°\nB:80°\nC:90°\nD:l00°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <... | 325 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()\nChoices:\nA:40°\nB:80°\nC:90°\nD:l00°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <... | 326 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()\nChoices:\nA:40°\nB:80°\nC:90°\nD:l00°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ... | 327 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, then the degree of angle BED is ()\nChoices:\nA:40°\nB:80°\nC:90°\nD:l00°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, prov... | 328 | 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 fig... | 329 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line AB parallel CD, AE bisects angle CAB, angle ACD = 40.0, then the degree of angle AEC is ()\nChoices:\nA:40°\nB:70°\nC:80°\nD:140°\n\nYou first think through the reasoning process as an internal mo... | 330 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line AB parallel CD, AE bisects angle CAB, angle ACD = 40.0, then the degree of angle AEC is ()\nChoices:\nA:40°\nB:70°\nC:80°\nD:140°\n\nYou first think through the reasoning process as an internal mo... | 331 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ACD = 40.0, then the degree of angle AEC is ()\nChoices:\nA:40°\nB:70°\nC:80°\nD:140°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pr... | 332 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line AB parallel CD, AE bisects angle CAB, then the degree of angle AEC is ()\nChoices:\nA:40°\nB:70°\nC:80°\nD:140°\n\nYou first think through the reasoning process as an internal monologue, enclosed ... | 333 | 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... | 334 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nXuan Xuan and Kai Kai are in the same mathematics study group. In a math activity class, they each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the pi... | 335 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nThey each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the picture. Help them calculate the sum of the area of the three figures circled in the figure... | 336 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nThey each used a square piece of paper with a side length of 12.0 to make a pair of jigsaw puzzles, and cooperated to design the work shown in the picture. Help them calculate the sum of the area of the three figures circled in the figure... | 337 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nHelp them calculate the sum of the area of the three figures circled in the figure, it is ()\nChoices:\nA:12cm\nB:24cm\nC:36cm\nD:48cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </th... | 338 | 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 sum ... | 339 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()\nChoices:\nA:75°\nB:105°\nC:140°\nD:145°\n\nYou first think through the reasoning process as an internal monologue, e... | 340 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()\nChoices:\nA:75°\nB:105°\nC:140°\nD:145°\n\nYou first think through the reasoning process as an internal monologue, e... | 341 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()\nChoices:\nA:75°\nB:105°\nC:140°\nD:145°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ... | 342 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line a parallel b, then the degree of angle 1 is ()\nChoices:\nA:75°\nB:105°\nC:140°\nD:145°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ... | 343 | 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... | 344 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, BD is the angular bisector of triangle ABC, AE perpendicular BD, and the foot of perpendicular is F. If angle ABC = 35.0, angle C = 50.0, then the degree of angle CDE is ()\nChoices:\nA:35°\nB:40°\nC:45°\nD:50°\n\n... | 345 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, BD is the angular bisector of triangle ABC, If angle ABC = 35.0, angle C = 50.0, then the degree of angle CDE is ()\nChoices:\nA:35°\nB:40°\nC:45°\nD:50°\n\nYou first think through the reasoning process as an inter... | 346 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If angle ABC = 35.0, angle C = 50.0, then the degree of angle CDE is ()\nChoices:\nA:35°\nB:40°\nC:45°\nD:50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </thi... | 347 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()\nChoices:\nA:35°\nB:40°\nC:45°\nD:50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think... | 348 | 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 solve this problem, we... | 349 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line AD parallel BC, if angle 1 = 42.0, angle BAC = 78.0, then the degree of angle 2 is ()\nChoices:\nA:42°\nB:50°\nC:60°\nD:68°\n\nYou first think through the reasoning process as an internal monologu... | 350 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line AD parallel BC, if angle 1 = 42.0, angle BAC = 78.0, then the degree of angle 2 is ()\nChoices:\nA:42°\nB:50°\nC:60°\nD:68°\n\nYou first think through the reasoning process as an internal monologu... | 351 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle 1 = 42.0, angle BAC = 78.0, then the degree of angle 2 is ()\nChoices:\nA:42°\nB:50°\nC:60°\nD:68°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think... | 352 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight line AD parallel BC, then the degree of angle 2 is ()\nChoices:\nA:42°\nB:50°\nC:60°\nD:68°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> t... | 353 | 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 AD is para... | 354 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the perimeter of parallelogram ABCD is 16.0, AC and BD intersect at point O, and OE perpendicular AC and it intersects AD at point E, then the perimeter of triangle DCE is ()\nChoices:\nA:10cm\nB:8cm\nC:6cm\nD:4cm\... | 355 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the perimeter of parallelogram ABCD is 16.0, then the perimeter of triangle DCE is ()\nChoices:\nA:10cm\nB:8cm\nC:6cm\nD:4cm\n\nYou first think through the reasoning process as an internal monologue, enclosed withi... | 356 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the perimeter of ABCD is 16.0, then the perimeter of triangle DCE is ()\nChoices:\nA:10cm\nB:8cm\nC:6cm\nD:4cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </th... | 357 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the perimeter of triangle DCE is ()\nChoices:\nA:10cm\nB:8cm\nC:6cm\nD:4cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your f... | 358 | 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>\nWe are given a f... | 359 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ABC is the inscribed triangle of circle O. If angle ABC = 70.0, then the degree of angle AOC is equal to ()\nChoices:\nA:140°\nB:130°\nC:120°\nD:110°\n\nYou first think through the reasoning process as an ... | 360 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ABC is the inscribed triangle of circle O. If angle ABC = 70.0, then the degree of angle AOC is equal to ()\nChoices:\nA:140°\nB:130°\nC:120°\nD:110°\n\nYou first think through the reasoning process as an ... | 361 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If angle ABC = 70.0, then the degree of angle AOC is equal to ()\nChoices:\nA:140°\nB:130°\nC:120°\nD:110°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think>... | 362 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ABC is the inscribed triangle of circle O. then the degree of angle AOC is equal to ()\nChoices:\nA:140°\nB:130°\nC:120°\nD:110°\n\nYou first think through the reasoning process as an internal monologue, e... | 363 | 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... | 364 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, radial AE intersects CD at point F, if angle 1 = 115.0, then the degree of angle 2 is ()\nChoices:\nA:55°\nB:65°\nC:75°\nD:85°\n\nYou first think through the reasoning process as an internal monolog... | 365 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, if angle 1 = 115.0, then the degree of angle 2 is ()\nChoices:\nA:55°\nB:65°\nC:75°\nD:85°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think>... | 366 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()\nChoices:\nA:55°\nB:65°\nC:75°\nD:85°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro... | 367 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, then the degree of angle 2 is ()\nChoices:\nA:55°\nB:65°\nC:75°\nD:85°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide... | 368 | 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>Given that AB is p... | 369 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a // b, put the right-angled vertex of a triangular plate on the straight line a, angle 1 = 42.0, then the degree of angle 2 is ()\nChoices:\nA:46°\nB:48°\nC:56°\nD:72°\n\nYou first think through the reasoning proc... | 370 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()\nChoices:\nA:46°\nB:48°\nC:56°\nD:72°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then,... | 371 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 1 = 42.0, then the degree of angle 2 is ()\nChoices:\nA:46°\nB:48°\nC:56°\nD:72°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide... | 372 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a // b, then the degree of angle 2 is ()\nChoices:\nA:46°\nB:48°\nC:56°\nD:72°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your fi... | 373 | 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 a is paral... | 374 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()\nChoices:\nA:54°\nB:56°\nC:44°\nD:46°\n\nYou first think through the reasoning process as an internal mon... | 375 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a parallel b, angle 1 = 36.0, then angle 2 = ()\nChoices:\nA:54°\nB:56°\nC:44°\nD:46°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide ... | 376 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 1 = 36.0, then angle 2 = ()\nChoices:\nA:54°\nB:56°\nC:44°\nD:46°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final ans... | 377 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a parallel b, then angle 2 = ()\nChoices:\nA:54°\nB:56°\nC:44°\nD:46°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answe... | 378 | 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 \\( a... | 379 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle 1 = angle 3, angle 2 = 60.0, then the degree of angle 4 is ()\nChoices:\nA:60°\nB:100°\nC:120°\nD:130°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </t... | 380 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle 1 = angle 3, angle 2 = 60.0, then the degree of angle 4 is ()\nChoices:\nA:60°\nB:100°\nC:120°\nD:130°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </t... | 381 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 2 = 60.0, then the degree of angle 4 is ()\nChoices:\nA:60°\nB:100°\nC:120°\nD:130°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, prov... | 382 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle 1 = angle 3, then the degree of angle 4 is ()\nChoices:\nA:60°\nB:100°\nC:120°\nD:130°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then... | 383 | 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 ... | 384 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, AE bisects angle CAB and CD at point E, if angle C = 70.0, then the degree of angle AED is ()\nChoices:\nA:110°\nB:125°\nC:135°\nD:140°\n\nYou first think through the reasoning process as an interna... | 385 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, AE bisects angle CAB and CD at point E, if angle C = 70.0, then the degree of angle AED is ()\nChoices:\nA:110°\nB:125°\nC:135°\nD:140°\n\nYou first think through the reasoning process as an interna... | 386 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle C = 70.0, then the degree of angle AED is ()\nChoices:\nA:110°\nB:125°\nC:135°\nD:140°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then... | 387 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, AE bisects angle CAB and CD at point E, then the degree of angle AED is ()\nChoices:\nA:110°\nB:125°\nC:135°\nD:140°\n\nYou first think through the reasoning process as an internal monologue, enclos... | 388 | 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 AE bisects... | 389 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the perimeter of parallelogram ABCD is 32.0, AC, BD intersect at point O, and OE perpendicular AC and it intersects AD at point E, then the perimeter of triangle DCE is ()\nChoices:\nA:8cm\nB:24cm\nC:10cm\nD:16cm\... | 390 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the perimeter of parallelogram ABCD is 32.0, then the perimeter of triangle DCE is ()\nChoices:\nA:8cm\nB:24cm\nC:10cm\nD:16cm\n\nYou first think through the reasoning process as an internal monologue, enclosed wit... | 391 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the perimeter of ABCD is 32.0, the perimeter of triangle DCE is ()\nChoices:\nA:8cm\nB:24cm\nC:10cm\nD:16cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think... | 392 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the perimeter of triangle DCE is ()\nChoices:\nA:8cm\nB:24cm\nC:10cm\nD:16cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your fina... | 393 | 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 AB + ... | 394 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a cylinder with a bottom circumference of 24.0 and a height of 5.0, the shortest route that an ant passes along the surface from point A to point B is ()\nChoices:\nA:12m\nB:15m\nC:13m\nD:14m\n\nYou first think thr... | 395 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a cylinder with a bottom circumference of 24.0 and a height of 5.0, the shortest route that an ant passes along the surface from point A to point B is ()\nChoices:\nA:12m\nB:15m\nC:13m\nD:14m\n\nYou first think thr... | 396 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a solid with a bottom circumference of 24.0 and a height of 5.0, the shortest route that an ant passes along the surface from point A to point B is ()\nChoices:\nA:12m\nB:15m\nC:13m\nD:14m\n\nYou first think throug... | 397 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a cylinder with a bottom circumference of 24.0, the shortest route that an ant passes along the surface from point A to point B is ()\nChoices:\nA:12m\nB:15m\nC:13m\nD:14m\n\nYou first think through the reasoning p... | 398 | 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 shor... | 399 | AI4Math_MathVerse/baseline/rollout_8 |
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