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, the homothetic figures are composed of a triangle ruler and its center projection under the light. If the ratio of the distance from the bulb to the vertex of the triangle ruler to the distance from the bulb to the... | 800 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If the ratio of the distance from the bulb to the vertex of the triangle ruler to the distance from the bulb to the corresponding vertex of the triangular ruler projection is 2.0:5.0, and the length of one edge of ... | 801 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, and the length of one edge of the triangle ruler is 8.0, Then the corresponding edge length of the projection triangle is ()\nChoices:\nA:8cm\nB:20cm\nC:3.2cm\nD:10cm\n\nYou first think through the reasoning proces... | 802 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, , If the ratio of the distance from the bulb to the vertex of the triangle ruler to the distance from the bulb to the corresponding vertex of the triangular ruler projection is 2.0:5.0, Then the corresponding edge ... | 803 | 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... | 804 | 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 BAC = 40.0, then the degree of the central angle angle BOC is ()\nChoices:\nA:40°\nB:60°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monolog... | 805 | 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 BAC = 40.0, then the degree of the central angle angle BOC is ()\nChoices:\nA:40°\nB:60°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monolog... | 806 | 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 BAC = 40.0, then the degree of the central angle angle BOC is ()\nChoices:\nA:40°\nB:60°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monolog... | 807 | 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 central angle angle BOC is ()\nChoices:\nA:40°\nB:60°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pr... | 808 | 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... | 809 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in Rttriangle ABC, angle C = 90.0, AC = 4.0, AB = 5.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an i... | 810 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 811 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 812 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 813 | 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 rig... | 814 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in triangle ABC, angle C = Rtangle , AB = 5.0, AC = 4.0, then the value of sinA is ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{4}{5}\nC:\\frac{3}{5}\nD:\\frac{5}{3}\n\nYou first think through the reasoning process as an... | 815 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle C = Rtangle , AB = 5.0, AC = 4.0, then the value of sinA is ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{4}{5}\nC:\\frac{3}{5}\nD:\\frac{5}{3}\n\nYou first think through the reasoning process as an internal monolog... | 816 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB = 5.0, AC = 4.0, then the value of sinA is ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{4}{5}\nC:\\frac{3}{5}\nD:\\frac{5}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 817 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the value of sinA is ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{4}{5}\nC:\\frac{3}{5}\nD:\\frac{5}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 818 | 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 valu... | 819 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nIn Rttriangle ABC, angle C = 90.0, AB = 2.0, BC = 1.0, then the value of sinB is ()\nChoices:\nA:\\frac{1}{2}\nB:\\frac{√{2}}{2}\nC:\\frac{√{3}}{2}\nD:2\n\nYou first think through the reasoning process as an internal monologue, enclosed w... | 820 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAB = 2.0, BC = 1.0, then the value of sinB is ()\nChoices:\nA:\\frac{1}{2}\nB:\\frac{√{2}}{2}\nC:\\frac{√{3}}{2}\nD:2\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, ... | 821 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAB = 2.0, BC = 1.0, then the value of sinB is ()\nChoices:\nA:\\frac{1}{2}\nB:\\frac{√{2}}{2}\nC:\\frac{√{3}}{2}\nD:2\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, ... | 822 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nthen the value of sinB is ()\nChoices:\nA:\\frac{1}{2}\nB:\\frac{√{2}}{2}\nC:\\frac{√{3}}{2}\nD:2\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final a... | 823 | 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 valu... | 824 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in Rttriangle ABC, it is known that angle A = 90.0, AC = 3.0, AB = 4.0, then sinB is equal to ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{3}{5}\nC:\\frac{4}{5}\nD:\\frac{5}{4}\n\nYou first think through the reasoning pr... | 825 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in Rttriangle ABC, AC = 3.0, AB = 4.0, then sinB is equal to ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{3}{5}\nC:\\frac{4}{5}\nD:\\frac{5}{4}\n\nYou first think through the reasoning process as an internal monologue, e... | 826 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 3.0, AB = 4.0, then sinB is equal to ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{3}{5}\nC:\\frac{4}{5}\nD:\\frac{5}{4}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <thi... | 827 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in ABC, then sinB is equal to ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{3}{5}\nC:\\frac{4}{5}\nD:\\frac{5}{4}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think>... | 828 | 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 a right trian... | 829 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\n\nYou first think through the reasoning proce... | 830 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure: AC = 8.0, AB = 10.0, then the value of sinB is equal to ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclos... | 831 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure: AC = 8.0, AB = 10.0, then the value of sinB is equal to ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclos... | 832 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure: then the value of sinB is equal to ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </t... | 833 | 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 triangle in ... | 834 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in the plane rectangular coordinate system, the coordinates of point A are (2.0,3.0), then the value of tanα is ()\nChoices:\nA:\\frac{2}{3}\nB:\\frac{3}{2}\nC:\\frac{2√{13}}{13}\nD:\\frac{3√{13}}{13}\n\nYou first ... | 835 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the coordinates of point A are (2.0,3.0), then the value of tanα is ()\nChoices:\nA:\\frac{2}{3}\nB:\\frac{3}{2}\nC:\\frac{2√{13}}{13}\nD:\\frac{3√{13}}{13}\n\nYou first think through the reasoning process as an in... | 836 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the value of tanα is ()\nChoices:\nA:\\frac{2}{3}\nB:\\frac{3}{2}\nC:\\frac{2√{13}}{13}\nD:\\frac{3√{13}}{13}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> ... | 837 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the value of tanα is ()\nChoices:\nA:\\frac{2}{3}\nB:\\frac{3}{2}\nC:\\frac{2√{13}}{13}\nD:\\frac{3√{13}}{13}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> ... | 838 | 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 valu... | 839 | 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 Rttriangle ABC, angle C = 90.0, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5}\n\nYou first think through the reasoning process as an interna... | 840 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. ... | 841 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()\nChoices:\nA:2\nB:8\nC:2√{5}\nD:4√{5}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. ... | 842 | 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:8\nC:2√{5}\nD:4√{5}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer en... | 843 | 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... | 844 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in Rttriangle ABC, angle C = 90.0, AC = 4.0, AB = 5.0, then the value of sinB is ()\nChoices:\nA:\\frac{2}{3}\nB:\\frac{3}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{5}\n\nYou first think through the reasoning process as an i... | 845 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 4.0, AB = 5.0, then the value of sinB is ()\nChoices:\nA:\\frac{2}{3}\nB:\\frac{3}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{5}\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 846 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 4.0, AB = 5.0, then the value of sinB is ()\nChoices:\nA:\\frac{2}{3}\nB:\\frac{3}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{5}\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 847 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the value of sinB is ()\nChoices:\nA:\\frac{2}{3}\nB:\\frac{3}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{5}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 848 | 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 valu... | 849 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the hypotenuse of Rttriangle ABC AB = 10.0, cosA = frac {3.0}{5.0}, then the length of BC is ()\nChoices:\nA:5cm\nB:6cm\nC:3cm\nD:8cm\n\nYou first think through the reasoning process as an internal monologue, enclo... | 850 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the hypotenuse of Rttriangle ABC AB = 10.0, cosA = frac {3.0}{5.0}, then the length of BC is ()\nChoices:\nA:5cm\nB:6cm\nC:3cm\nD:8cm\n\nYou first think through the reasoning process as an internal monologue, enclo... | 851 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the hypotenuse of triangle ABC AB = 10.0, cosA = frac {3.0}{5.0}, then the length of BC is ()\nChoices:\nA:5cm\nB:6cm\nC:3cm\nD:8cm\n\nYou first think through the reasoning process as an internal monologue, enclose... | 852 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, cosA = frac {3.0}{5.0}, then the length of BC is ()\nChoices:\nA:5cm\nB:6cm\nC:3cm\nD:8cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro... | 853 | 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 cosA ... | 854 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in the quadrilateral ABCD, E and F are the midpoints of AB and AD respectively. If EF = 2.0, BC = 5.0, CD = 3.0, then tanC is equal to ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{4}{3}\nC:\\frac{3}{5}\nD:\\frac{4}{5}\n\... | 855 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, E and F are the midpoints of AB and AD respectively. If EF = 2.0, BC = 5.0, CD = 3.0, then tanC is equal to ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{4}{3}\nC:\\frac{3}{5}\nD:\\frac{4}{5}\n\nYou first think through th... | 856 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, If EF = 2.0, BC = 5.0, CD = 3.0, then tanC is equal to ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{4}{3}\nC:\\frac{3}{5}\nD:\\frac{4}{5}\n\nYou first think through the reasoning process as an internal monologue, enclose... | 857 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, E and F are the midpoints of AB and AD respectively. then tanC is equal to ()\nChoices:\nA:\\frac{3}{4}\nB:\\frac{4}{3}\nC:\\frac{3}{5}\nD:\\frac{4}{5}\n\nYou first think through the reasoning process as an interna... | 858 | 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 tanC, we... | 859 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, it is known that AB and AD are the chords of circle O, angle BOD = 50.0, then the degree of angle BAD is ()\nChoices:\nA:50°\nB:40°\nC:25°\nD:35°\n\nYou first think through the reasoning process as an internal mono... | 860 | 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 the degree of angle BAD is ()\nChoices:\nA:50°\nB:40°\nC:25°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro... | 861 | 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 the degree of angle BAD is ()\nChoices:\nA:50°\nB:40°\nC:25°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro... | 862 | 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:50°\nB:40°\nC:25°\nD:35°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final an... | 863 | 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... | 864 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()\nChoices:\nA:90°\nB:110°\nC:120°\nD:165°\n\nYou first think through the reasoning... | 865 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()\nChoices:\nA:90°\nB:110°\nC:120°\nD:165°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think... | 866 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()\nChoices:\nA:90°\nB:110°\nC:120°\nD:165°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 867 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, OA = OB = OC, then angle DAO + angle DCO = ()\nChoices:\nA:90°\nB:110°\nC:120°\nD:165°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide... | 868 | 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 OA = ... | 869 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC is the diameter of circle O, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed wit... | 870 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then,... | 871 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then,... | 872 | 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 AOB is ()\nChoices:\nA:40°\nB:50°\nC:80°\nD:100°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final a... | 873 | 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 OAB ... | 874 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, in circle A, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()\nChoices:\nA:10\nB:6\nC:5\nD:8\n\nYou first think through the reasoning process as an internal monol... | 875 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()\nChoices:\nA:10\nB:6\nC:5\nD:8\n\nYou first think through the reasoning process as an internal monologue, enclose... | 876 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()\nChoices:\nA:10\nB:6\nC:5\nD:8\n\nYou first think through the reasoning process as an internal monologue, enclose... | 877 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle BAC + angle EAD = 180.0, then the radius of circle A is ()\nChoices:\nA:10\nB:6\nC:5\nD:8\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then... | 878 | 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 angle B... | 879 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the cross section of a tunnel is a semicircle with a radius of 3.4, and a truck with a width of 3.2 can pass through the tunnel.\nChoices:\nA:3m\nB:3.4m\nC:4m\nD:2.8m\n\nYou first think through the reasoning proces... | 880 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the cross section of a tunnel is a semicircle with a radius of 3.4, and a truck with a width of 3.2 can pass through the tunnel.\nChoices:\nA:3m\nB:3.4m\nC:4m\nD:2.8m\n\nYou first think through the reasoning proces... | 881 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the cross section of a tunnel is a semicircle with a radius of 3.4, and a truck with a width of 3.2 can pass through the tunnel.\nChoices:\nA:3m\nB:3.4m\nC:4m\nD:2.8m\n\nYou first think through the reasoning proces... | 882 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure\nChoices:\nA:3m\nB:3.4m\nC:4m\nD:2.8m\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{}."
}... | 883 | 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... | 884 | 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 ACB = 30.0, AB = 6.0, then the radius of circle O is ()\nChoices:\nA:3\nB:2√{3}\nC:6\nD:4√{3}\n\nYou first think through the reasoning process as an inte... | 885 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle ACB = 30.0, AB = 6.0, then the radius of circle O is ()\nChoices:\nA:3\nB:2√{3}\nC:6\nD:4√{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 886 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if angle ACB = 30.0, AB = 6.0, then the radius of circle O is ()\nChoices:\nA:3\nB:2√{3}\nC:6\nD:4√{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 887 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the radius of circle O is ()\nChoices:\nA:3\nB:2√{3}\nC:6\nD:4√{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final ans... | 888 | 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 radi... | 889 | 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, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )\nChoices:\nA:5\nB:\\frac{... | 890 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle C = 30.0, the radius of circle O is 5.0, PB = AB, then the length of PA is ( )\nChoices:\nA:5\nB:\\frac{5√{3}}{2}\nC:5√{2}\nD:5√{3}\n\nYou first think through the reasoning process as an internal monologue, e... | 891 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle C = 30.0, the radius of circle O is 5.0, then the length of PA is ( )\nChoices:\nA:5\nB:\\frac{5√{3}}{2}\nC:5√{2}\nD:5√{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed w... | 892 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, PB = AB, then the length of PA is ( )\nChoices:\nA:5\nB:\\frac{5√{3}}{2}\nC:5√{2}\nD:5√{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, pro... | 893 | 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 PB = AB, a... | 894 | 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, OC perpendicular OB, OD perpendicular AB intersects AC at point E. Knowing that the radius of circle O is 1.0, then the value of AE^ 2 + CE^ 2 is ()\nChoices:\nA:1\nB:2\nC:3... | 895 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, OC perpendicular OB, OD perpendicular AB intersects AC at point E. Knowing that the radius of circle O is 1.0, then the value of AE^ 2 + CE^ 2 is ()\nChoices:\nA:1\nB:2\nC:3\nD:4\n\nYou first think through the re... | 896 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, knowing that the radius of circle O is 1.0, then the value of AE^ 2 + CE^ 2 is ()\nChoices:\nA:1\nB:2\nC:3\nD:4\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </t... | 897 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the value of AE^ 2 + CE^ 2 is ()\nChoices:\nA:1\nB:2\nC:3\nD:4\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer ... | 898 | 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 tria... | 899 | AI4Math_MathVerse/baseline/rollout_8 |
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