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[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nThe positions of straight lines a, b, c, and d are shown in the figure. If angle 1 = 100.0, angle 2 = 100.0, angle 3 = 125.0, then angle 4 is equal to ()\nChoices:\nA:80°\nB:65°\nC:60°\nD:55°\n\nYou first think through the reasoning proce...
200
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nIf angle 1 = 100.0, angle 2 = 100.0, angle 3 = 125.0, then angle 4 is equal to ()\nChoices:\nA:80°\nB:65°\nC:60°\nD:55°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then...
201
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nIf angle 1 = 100.0, angle 2 = 100.0, angle 3 = 125.0, then angle 4 is equal to ()\nChoices:\nA:80°\nB:65°\nC:60°\nD:55°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then...
202
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nthen angle 4 is equal to ()\nChoices:\nA:80°\nB:65°\nC:60°\nD:55°\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{}....
203
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 ang...
204
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nThe figure is a schematic diagram of a kite stand made by Xiao Liu. It is known that BC parallel PQ, AB:AP = 2.0:5.0, AQ = 20.0, then the length of CQ is ()\nChoices:\nA:8cm\nB:12cm\nC:30cm\nD:50cm\n\nYou first think through the reasoning...
205
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nIt is known that BC parallel PQ, AB:AP = 2.0:5.0, AQ = 20.0, then the length of CQ is ()\nChoices:\nA:8cm\nB:12cm\nC:30cm\nD:50cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ...
206
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAB:AP = 2.0:5.0, AQ = 20.0, then the length of CQ is ()\nChoices:\nA:8cm\nB:12cm\nC:30cm\nD:50cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final an...
207
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nIt is known that BC parallel PQ, AB:AP = 2.0:5.0, then the length of CQ is ()\nChoices:\nA:8cm\nB:12cm\nC:30cm\nD:50cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then,...
208
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 is a geomet...
209
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ODC is the figure obtained by rotating triangle OAB clockwise around point O by 30.0. If point D happens to fall on AB, and the degree of angle AOC is 100.0, then the degree of angle DOB is ()\nChoices:\nA...
210
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ODC is the figure obtained by rotating triangle OAB clockwise around point O by 30.0. If point D happens to fall on AB, and the degree of angle AOC is 100.0, then the degree of angle DOB is ()\nChoices:\nA...
211
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()\nChoices:\nA:40°\nB:30°\nC:38°\nD:15°\n\nYou first think through the reasoning process as an internal monologue, enclosed ...
212
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If point D happens to fall on AB, then the degree of angle DOB is ()\nChoices:\nA:40°\nB:30°\nC:38°\nD:15°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think>...
213
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...
214
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the two street lamps A and B are separated by 30.0. One night, when Xiaogang went straight 25.0 from the bottom of street lamp A to the bottom of street lamp B, he found that the top of his figure just touched the ...
215
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the two street lamps A and B are separated by 30.0. when Xiaogang went straight 25.0 from the bottom of street lamp A to the bottom of street lamp B, It is known that Xiaogang's height is 1.5, then the height of th...
216
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the two street lamps A and B are separated by 30.0. It is known that Xiaogang's height is 1.5, then the height of the street lamp is ()\nChoices:\nA:9米\nB:8米\nC:7米\nD:6米\n\nYou first think through the reasoning pro...
217
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the height of the street lamp is ()\nChoices:\nA:9米\nB:8米\nC:7米\nD:6米\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final ...
218
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 this pr...
219
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, C is a point on circle O, O is the center of the circle, if angle C = 35.0, then the degree of angle AOB is ()\nChoices:\nA:35°\nB:70°\nC:105°\nD:150°\n\nYou first think through the reasoning process as an internal...
220
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, O is the center of the circle, if angle C = 35.0, then the degree of angle AOB is ()\nChoices:\nA:35°\nB:70°\nC:105°\nD:150°\n\nYou first think through the reasoning process as an internal monologue, enclosed withi...
221
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle C = 35.0, then the degree of angle AOB is ()\nChoices:\nA:35°\nB:70°\nC:105°\nD:150°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, ...
222
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, O is the center of the circle, then the degree of angle AOB is ()\nChoices:\nA:35°\nB:70°\nC:105°\nD:150°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ...
223
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...
224
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if AB parallel CD, angle A = 70.0, then the degree of angle 1 is ()\nChoices:\nA:20°\nB:30°\nC:70°\nD:110°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think>...
225
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nif AB parallel CD, angle A = 70.0, then the degree of angle 1 is ()\nChoices:\nA:20°\nB:30°\nC:70°\nD:110°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide you...
226
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle A = 70.0, then the degree of angle 1 is ()\nChoices:\nA:20°\nB:30°\nC:70°\nD:110°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provid...
227
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nif AB parallel CD, then the degree of angle 1 is ()\nChoices:\nA:20°\nB:30°\nC:70°\nD:110°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer e...
228
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 this pr...
229
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, angle C = 44.0, angle E is a right angle, then angle 1 is equal to ()\nChoices:\nA:132°\nB:134°\nC:136°\nD:138°\n\nYou first think through the reasoning process as an internal mono...
230
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, then angle 1 is equal to ()\nChoices:\nA:132°\nB:134°\nC:136°\nD:138°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ta...
231
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then angle 1 is equal to ()\nChoices:\nA:132°\nB:134°\nC:136°\nD:138°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answe...
232
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, then angle 1 is equal to ()\nChoices:\nA:132°\nB:134°\nC:136°\nD:138°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ta...
233
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...
234
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, A, B, C are any three points on circle O, if angle BOC = 100.0, then the degree of angle BAC is ()\nChoices:\nA:50°\nB:80°\nC:100°\nD:130°\n\nYou first think through the reasoning process as an internal monologue, ...
235
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle BOC = 100.0, then the degree of angle BAC is ()\nChoices:\nA:50°\nB:80°\nC:100°\nD:130°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. The...
236
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle BOC = 100.0, then the degree of angle BAC is ()\nChoices:\nA:50°\nB:80°\nC:100°\nD:130°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. The...
237
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 BAC is ()\nChoices:\nA:50°\nB:80°\nC:100°\nD:130°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final ...
238
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...
239
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in the inscribed pentagon ABCDE of circle O, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()\nChoices:\nA:50°\nB:75°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an inter...
240
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in the inscribed pentagon ABCDE of circle O, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()\nChoices:\nA:50°\nB:75°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an inter...
241
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()\nChoices:\nA:50°\nB:75°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </thin...
242
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in the inscribed pentagon ABCDE of circle O, then the degree of angle B is ()\nChoices:\nA:50°\nB:75°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think...
243
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 find the measure of an...
244
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight lines AB and CD intersect at point O, EO perpendicular AB, and the foot of perpendicular is point O, angle BOD = 50.0, then angle COE = ()\nChoices:\nA:30°\nB:140°\nC:50°\nD:60°\n\nYou first think thr...
245
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle BOD = 50.0, then angle COE = ()\nChoices:\nA:30°\nB:140°\nC:50°\nD:60°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your fina...
246
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle BOD = 50.0, then angle COE = ()\nChoices:\nA:30°\nB:140°\nC:50°\nD:60°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your fina...
247
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then angle COE = ()\nChoices:\nA:30°\nB:140°\nC:50°\nD:60°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed ...
248
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 COE ...
249
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()\nChoices:\nA:40°\nB:60°\nC:70°\nD:100°\n\nYou first ...
250
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()\nChoices:\nA:40°\nB:60°\nC:70°\nD:100°\n\nYou first think through the reasoning process as an internal monolo...
251
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()\nChoices:\nA:40°\nB:60°\nC:70°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ...
252
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, triangle ABC congruent triangle DEF, then the degree of angle COE is ()\nChoices:\nA:40°\nB:60°\nC:70°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </t...
253
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>\n1. Given that tr...
254
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, put the two vertices of a right triangle plate with 45.0 angles on the opposite edges of the ruler. If angle 1 = 27.5, then angle 2 is equal to ()\nChoices:\nA:32.5°\nB:22.5°\nC:20.5°\nD:17.5°\n\nYou first think th...
255
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nput the two vertices of a right triangle plate with 45.0 angles on the opposite edges of the ruler. If angle 1 = 27.5, then angle 2 is equal to ()\nChoices:\nA:32.5°\nB:22.5°\nC:20.5°\nD:17.5°\n\nYou first think through the reasoning proc...
256
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nIf angle 1 = 27.5, then angle 2 is equal to ()\nChoices:\nA:32.5°\nB:22.5°\nC:20.5°\nD:17.5°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer...
257
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nput the two vertices of a right triangle plate with 45.0 angles on the opposite edges of the ruler. then angle 2 is equal to ()\nChoices:\nA:32.5°\nB:22.5°\nC:20.5°\nD:17.5°\n\nYou first think through the reasoning process as an internal ...
258
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 diagram show...
259
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, the straight line c intersects a and b, angle 1 = 55.0, then angle 2 = ()\nChoices:\nA:55°\nB:35°\nC:125°\nD:65°\n\nYou first think through the reasoning process as an internal mono...
260
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 1 = 55.0, then angle 2 = ()\nChoices:\nA:55°\nB:35°\nC:125°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> ...
261
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle 1 = 55.0, then angle 2 = ()\nChoices:\nA:55°\nB:35°\nC:125°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final an...
262
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 angle 2 = ()\nChoices:\nA:55°\nB:35°\nC:125°\nD:65°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, prov...
263
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...
264
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nPlace a ruler and a triangular plate as shown in the figure, angle 1 = 40.0, then the degree of angle 2 is ()\nChoices:\nA:130°\nB:140°\nC:120°\nD:125°\n\nYou first think through the reasoning process as an internal monologue, enclosed wi...
265
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nPlace a ruler and a triangular plate as shown in the figure, angle 1 = 40.0, then the degree of angle 2 is ()\nChoices:\nA:130°\nB:140°\nC:120°\nD:125°\n\nYou first think through the reasoning process as an internal monologue, enclosed wi...
266
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nangle 1 = 40.0, then the degree of angle 2 is ()\nChoices:\nA:130°\nB:140°\nC:120°\nD:125°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer e...
267
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nPlace a ruler and a triangular plate as shown in the figure,then the degree of angle 2 is ()\nChoices:\nA:130°\nB:140°\nC:120°\nD:125°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </th...
268
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 a ruler and ...
269
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the straight lines AB and CD intersect at point O, and the radial OM bisects angle AOC, ON perpendicular OM. If angle AOC = 70.0, then the degree of angle CON is ()\nChoices:\nA:65°\nB:55°\nC:45°\nD:35°\n\nYou fir...
270
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, and the radial OM bisects angle AOC, If angle AOC = 70.0, then the degree of angle CON is ()\nChoices:\nA:65°\nB:55°\nC:45°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed...
271
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If angle AOC = 70.0, then the degree of angle CON is ()\nChoices:\nA:65°\nB:55°\nC:45°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, ...
272
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, and the radial OM bisects angle AOC, then the degree of angle CON is ()\nChoices:\nA:65°\nB:55°\nC:45°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </thi...
273
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 the pro...
274
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the diameter CD of circle O crosses the midpoint G of chord EF, angle DCF = 20.0, then angle EOD is equal to ()\nChoices:\nA:10°\nB:20°\nC:40°\nD:80°\n\nYou first think through the reasoning process as an internal ...
275
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the diameter CD of circle O crosses the midpoint G of chord EF, angle DCF = 20.0, then angle EOD is equal to ()\nChoices:\nA:10°\nB:20°\nC:40°\nD:80°\n\nYou first think through the reasoning process as an internal ...
276
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle DCF = 20.0, then angle EOD is equal to ()\nChoices:\nA:10°\nB:20°\nC:40°\nD:80°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide ...
277
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the diameter CD of circle O crosses the midpoint G of chord EF, then angle EOD is equal to ()\nChoices:\nA:10°\nB:20°\nC:40°\nD:80°\n\nYou first think through the reasoning process as an internal monologue, enclose...
278
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...
279
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is parallel to CD, if angle B = 20.0, then angle C is ()\nChoices:\nA:40°\nB:20°\nC:60°\nD:70°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Th...
280
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is parallel to CD, if angle B = 20.0, then angle C is ()\nChoices:\nA:40°\nB:20°\nC:60°\nD:70°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Th...
281
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle B = 20.0, then angle C is ()\nChoices:\nA:40°\nB:20°\nC:60°\nD:70°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final...
282
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is parallel to CD, then angle C is ()\nChoices:\nA:40°\nB:20°\nC:60°\nD:70°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your fi...
283
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 AB is para...
284
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, angle CED = 90.0, angle AEC = 35.0, then the size of angle D is ()\nChoices:\nA:65°\nB:55°\nC:45°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <t...
285
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, angle CED = 90.0, angle AEC = 35.0, then the size of angle D is ()\nChoices:\nA:65°\nB:55°\nC:45°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <t...
286
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, CED = 90.0, angle AEC = 35.0, then the size of angle D is ()\nChoices:\nA:65°\nB:55°\nC:45°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. T...
287
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 D is ()\nChoices:\nA:65°\nB:55°\nC:45°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide y...
288
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 problem pres...
289
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, AD bisects angle BAC, and angle C = 80.0, then the degree of angle D is ()\nChoices:\nA:50°\nB:60°\nC:70°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed ...
290
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, AD bisects angle BAC, and angle C = 80.0, then the degree of angle D is ()\nChoices:\nA:50°\nB:60°\nC:70°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed ...
291
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, and angle C = 80.0, then the degree of angle D is ()\nChoices:\nA:50°\nB:60°\nC:70°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pr...
292
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB parallel CD, AD bisects angle BAC, then the degree of angle D is ()\nChoices:\nA:50°\nB:60°\nC:70°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </thi...
293
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>\nFirst, we need t...
294
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 2 = 135.0, then the degree of angle 1 is ()\nChoices:\nA:30°\nB:45°\nC:60°\nD:75°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think>...
295
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 2 = 135.0, then the degree of angle 1 is ()\nChoices:\nA:30°\nB:45°\nC:60°\nD:75°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think>...
296
AI4Math_MathVerse/baseline/rollout_8
[]
[ { "from": "human", "value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle 2 = 135.0, then the degree of angle 1 is ()\nChoices:\nA:30°\nB:45°\nC:60°\nD:75°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro...
297
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 1 is ()\nChoices:\nA:30°\nB:45°\nC:60°\nD:75°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide...
298
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 is...
299
AI4Math_MathVerse/baseline/rollout_8