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\nWhile measuring the height of the building, Xiao Ming first measured the shadow length BA of the building on the ground as 15.0 (as shown in the figure), and then set up a benchmark with a height of 2.0 at A, and measured the shadow lengt... | 700 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nXiao Ming first measured the shadow length BA of the building on the ground as 15.0 (as shown in the figure), and then set up a benchmark with a height of 2.0 at A, and measured the shadow length AC of the benchmark as 3.0, then the heigh... | 701 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nXiao Ming first measured the shadow length BA of the building on the ground as 15.0 (as shown in the figure), and then set up a benchmark with a height of 2.0 at A, and measured the shadow length AC of the benchmark as 3.0, then the heigh... | 702 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nthen the height of the building is ()\nChoices:\nA:10m\nB:12m\nC:15m\nD:22.5m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed withi... | 703 | 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 heig... | 704 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()\nChoices:\nA:2\nB:2.2\nC:2.4\nD:2.5\n\nYou f... | 705 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, then the length of the distance from E to the ground EF is ()\nChoices:\nA:2\nB:2.2\nC:2.4\nD:2.5\n\nYou first think through the reason... | 706 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure: AB is 6.0, the length of CD is 3.0, then the length of the distance from E to the ground EF is ()\nChoices:\nA:2\nB:2.2\nC:2.4\nD:2.5\n\nYou first think through the reasoning process as an internal monologue, enclo... | 707 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure: then the length of the distance from E to the ground EF is ()\nChoices:\nA:2\nB:2.2\nC:2.4\nD:2.5\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Th... | 708 | 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... | 709 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a square DEFG model should be cut on a piece of triangle ABC paper. Among them, G and F are on BC, D and E are on AB and AC respectively, AH perpendicular BC and it intersects DE at M, if BC = 12.0, AH = 8.0, then... | 710 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if BC = 12.0, AH = 8.0, then the edge length of the square DEFG is ()\nChoices:\nA:\\frac{24}{5}cm\nB:4cm\nC:\\frac{24}{7}cm\nD:5cm\n\nYou first think through the reasoning process as an internal monologue, enclose... | 711 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if BC = 12.0, AH = 8.0, then the edge length of the square DEFG is ()\nChoices:\nA:\\frac{24}{5}cm\nB:4cm\nC:\\frac{24}{7}cm\nD:5cm\n\nYou first think through the reasoning process as an internal monologue, enclose... | 712 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the edge length of the square DEFG is ()\nChoices:\nA:\\frac{24}{5}cm\nB:4cm\nC:\\frac{24}{7}cm\nD:5cm\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think... | 713 | 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 edge... | 714 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nOn 27.0 2009.0, 10.0, 2009, Shanghai team player Wu Di came to the fore in the National Games and defeated the top-seeded men's singles player Zeng Shaoxuan with a score of 2.0:0.0, and won the men's singles championship in tennis at the ... | 715 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nIt is known that the net height is 0.8, and the horizontal distance from the hitting point to the net is 4.0. When the ball is played, the ball can hit the net and the landing point is exactly 6.0 away from the net. Then the height h of t... | 716 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nIt is known that the net height is 0.8, and the horizontal distance from the hitting point to the net is 4.0. When the ball is played, the ball can hit the net and the landing point is exactly 6.0 away from the net. Then the height h of t... | 717 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nThe height h of the racket hit is ()\nChoices:\nA:\\frac{8}{5}m\nB:\\frac{4}{3}m\nC:1m\nD:\\frac{8}{15}m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your ... | 718 | 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 height \\( h ... | 719 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, points A, B, and C are on circle O, angle ABO = 40.0, angle ACO = 30.0, then the degree of angle BOC is ()\nChoices:\nA:60°\nB:70°\nC:120°\nD:140°\n\nYou first think through the reasoning process as an internal mon... | 720 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ABO = 40.0, angle ACO = 30.0, then the degree of angle BOC is ()\nChoices:\nA:60°\nB:70°\nC:120°\nD:140°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </th... | 721 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, angle ABO = 40.0, angle ACO = 30.0, then the degree of angle BOC is ()\nChoices:\nA:60°\nB:70°\nC:120°\nD:140°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </th... | 722 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the degree of angle BOC is ()\nChoices:\nA:60°\nB:70°\nC:120°\nD:140°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final ... | 723 | 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... | 724 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is a ladder leaning against the wall, the foot of the ladder is away from the wall 2.0, the point D on the ladder is away from the wall 1.8, the length of BD is 0.6, then the length of the ladder is ()\nChoices:... | 725 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the foot of the ladder is away from the wall 2.0, the point D on the ladder is away from the wall 1.8, the length of BD is 0.6, then the length of the ladder is ()\nChoices:\nA:5.60米\nB:6.00米\nC:6.10米\nD:6.20米\n\nY... | 726 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the foot of the ladder is away from the wall 2.0, the point D on the ladder is away from the wall 1.8, the length of BD is 0.6, then the length of the ladder is ()\nChoices:\nA:5.60米\nB:6.00米\nC:6.10米\nD:6.20米\n\nY... | 727 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nthen the length of the ladder is ()\nChoices:\nA:5.60m\nB:6.00m\nC:6.10m\nD:6.20m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed w... | 728 | 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... | 729 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nIn order to measure the height of the school flagpole AC, a school math interest group erected a benchmark DF with a length of 1.5 at point F. As shown in the figure, the length of the shadow EF of DF is measured as 1.0, and then measure ... | 730 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\na school math interest group erected a benchmark DF with a length of 1.5 at point F. the length of the shadow EF of DF is measured as 1.0, and then measure the length of the shadow BC of the flagpole AC to be 6.0, then the height of the f... | 731 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\na school math interest group erected a benchmark DF with a length of 1.5 at point F. the length of the shadow EF of DF is measured as 1.0, and then measure the length of the shadow BC of the flagpole AC to be 6.0, then the height of the f... | 732 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nthen the height of the flagpole AC is ()\nChoices:\nA:6m\nB:7m\nC:8.5m\nD:9m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within... | 733 | 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... | 734 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, Xiaodong uses a bamboo pole with a length of 3.2 as a measuring tool to measure the height of the school flagpole, and moves the bamboo pole so that the shadow on the top of the pole and the flag pole falls on the ... | 735 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, Xiaodong uses a bamboo pole with a length of 3.2 as a measuring tool to measure the height of the school flagpole, and moves the bamboo pole so that the shadow on the top of the pole and the flag pole falls on the ... | 736 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, Xiaodong uses a bamboo pole with a length of 3.2 as a measuring tool to measure the height of the school flagpole, and moves the bamboo pole so that the shadow on the top of the pole and the flag pole falls on the ... | 737 | 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 flag pole is ()\nChoices:\nA:12m\nB:10m\nC:8m\nD:7m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final ... | 738 | 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 heig... | 739 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, CD is a plane mirror, the light is emitted from point A, reflected by point E on CD, and irradiated to point B. If the incident angle is α, AC perpendicular CD, BD perpendicular CD, the feet of perpendicular are ... | 740 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC perpendicular CD, BD perpendicular CD, and AC = 3.0, BD = 6.0, CD = 10.0, then the length of the line segment ED is ()\nChoices:\nA:\\frac{20}{3}\nB:\\frac{10}{3}\nC:7\nD:\\frac{14}{3}\n\nYou first think throu... | 741 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, and AC = 3.0, BD = 6.0, CD = 10.0, then the length of the line segment ED is ()\nChoices:\nA:\\frac{20}{3}\nB:\\frac{10}{3}\nC:7\nD:\\frac{14}{3}\n\nYou first think through the reasoning process as an internal mono... | 742 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC perpendicular CD, BD perpendicular CD, then the length of the line segment ED is ()\nChoices:\nA:\\frac{20}{3}\nB:\\frac{10}{3}\nC:7\nD:\\frac{14}{3}\n\nYou first think through the reasoning process as an inte... | 743 | 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 pro... | 744 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, Xiaoming designed two right angles to measure the width of the river BC, he measured AB = 2.0, BD = frac {7.0}{3.0}, CE = 9.0, then the width of the river BC is ()\nChoices:\nA:\\frac{7}{2}米\nB:\\frac{17}{2}米\nC:\\... | 745 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, Xiaoming designed two right angles to measure the width of the river BC, he measured AB = 2.0, BD = frac {7.0}{3.0}, CE = 9.0, then the width of the river BC is ()\nChoices:\nA:\\frac{7}{2}米\nB:\\frac{17}{2}米\nC:\\... | 746 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, he measured AB = 2.0, BD = frac {7.0}{3.0}, CE = 9.0, then the width of the river BC is ()\nChoices:\nA:\\frac{7}{2}米\nB:\\frac{17}{2}米\nC:\\frac{40}{7}米\nD:11米\n\nYou first think through the reasoning process as a... | 747 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, Xiaoming designed two right angles to measure the width of the river BC, then the width of the river BC is ()\nChoices:\nA:\\frac{7}{2}m\nB:\\frac{17}{2}m\nC:\\frac{40}{7}m\nD:11m\n\nYou first think through the rea... | 748 | 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 measure the w... | 749 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a student saw a tree by the lake. He visually observed that the distance between himself and the tree is 20.0, and the reflection of the top of the tree in the water is 5.0 far away from him. The student's height i... | 750 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a student saw a tree by the lake. He visually observed that the distance between himself and the tree is 20.0, and the reflection of the top of the tree in the water is 5.0 far away from him. The student's height i... | 751 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, a student saw a tree by the lake. He visually observed that the distance between himself and the tree is 20.0, and the reflection of the top of the tree in the water is 5.0 far away from him. The student's height i... | 752 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, and the height of the tree is ( ).\nChoices:\nA:3.4\nB:5.1\nC:6.8\nD:8.5\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final an... | 753 | 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... | 754 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is a fixed climbing ladder leaning on the wall, the distance from the foot of the ladder B to the foot of the wall C is 1.6, the distance from the point D on the ladder to the wall is 1.4, and the length of the ... | 755 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the distance from the foot of the ladder B to the foot of the wall C is 1.6, the distance from the point D on the ladder to the wall is 1.4, and the length of the ladder is 0.5, then the length of the ladder is ()\... | 756 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the distance from the foot of the ladder B to the foot of the wall C is 1.6, the distance from the point D on the ladder to the wall is 1.4, and the length of the ladder is 0.5, then the length of the ladder is ()\... | 757 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the length of the ladder is ()\nChoices:\nA:3.5m\nB:4m\nC:4.5m\nD:5m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final a... | 758 | 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... | 759 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the sunlight enters the room from the windows of the classroom, the length of the shadow of the window frame AB on the ground DE = 1.8, the distance from the lower eaves of the window to the ground BC = 1.0, EC = 1... | 760 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the length of the shadow of the window frame AB on the ground DE = 1.8, the distance from the lower eaves of the window to the ground BC = 1.0, EC = 1.2, then the height of the window AB is ()\nChoices:\nA:1.5m\nB:... | 761 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the length of the shadow of the window frame AB on the ground DE = 1.8, the distance from the lower eaves of the window to the ground BC = 1.0, EC = 1.2, then the height of the window AB is ()\nChoices:\nA:1.5m\nB:... | 762 | 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 window AB is ()\nChoices:\nA:1.5m\nB:1.6m\nC:1.86m\nD:2.16m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide you... | 763 | 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... | 764 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB is a long ladder leaning on the wall, the foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is ()\nChoic... | 765 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is ()\nChoices:\nA:3.85米\nB:4.00米\nC:4.40米\nD:4.50米\n... | 766 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is ()\nChoices:\nA:3.85米\nB:4.00米\nC:4.40米\nD:4.50米\n... | 767 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the length of the ladder is ()\nChoices:\nA:3.85m\nB:4.00m\nC:4.40m\nD:4.50m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your fina... | 768 | 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... | 769 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the student Xiao Li whose height is 1.6 wants to measure the height of the school's flagpole. When he stands at C, the shadow of the top of his head coincides with the shadow of the top of the flagpole, and AC = 2.... | 770 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the student Xiao Li whose height is 1.6 wants to measure the height of the school's flagpole. When he stands at C, the shadow of the top of his head coincides with the shadow of the top of the flagpole, and AC = 2.... | 771 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the student Xiao Li whose height is 1.6 wants to measure the height of the school's flagpole. When he stands at C, the shadow of the top of his head coincides with the shadow of the top of the flagpole, and AC = 2.... | 772 | 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 flagpole is ()\nChoices:\nA:6.4m\nB:7m\nC:8m\nD:9m\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final a... | 773 | 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 can use the p... | 774 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the quadrilateral ABCD and A′B′C′D′ are similar figures with the similar center at point O. If OA′: A′A = 2.0:1.0, the area of the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of the quadrilateral ABCD is ... | 775 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the quadrilateral ABCD and A′B′C′D′ are similar. If OA′: A′A = 2.0:1.0, the area of the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of the quadrilateral ABCD is ()\nChoices:\nA:24cm^{2}\nB:27cm^{2}\nC:36... | 776 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nthe area of the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of the quadrilateral ABCD is ()\nChoices:\nA:24cm^{2}\nB:27cm^{2}\nC:36cm^{2}\nD:54cm^{2}\n\nYou first think through the reasoning process as an internal monologue, enc... | 777 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, the quadrilateral ABCD and A′B′C′D′ are similar. If OA′: A′A = 2.0:1.0, the area of the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of the quadrilateral ABCD is ()\nChoices:\nA:24cm^{2}\nB:27cm^{2}\nC:36... | 778 | 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 quadr... | 779 | 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 = 90.0, if AC = 4.0, BC = 3.0, then cosB is equal to ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an inte... | 780 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if AC = 4.0, BC = 3.0, then cosB is equal to ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <... | 781 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, if AC = 4.0, BC = 3.0, then cosB is equal to ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <... | 782 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then cosB is equal to ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. T... | 783 | 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 cos B, w... | 784 | 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, BC = 3.0, then the value of sinB is equal to ()\nChoices:\nA:\\frac{4}{3}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{3}{5}\n\nYou first think through the reasoning proces... | 785 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()\nChoices:\nA:\\frac{4}{3}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{3}{5}\n\nYou first think through the reasoning process as an internal monologue, enclose... | 786 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()\nChoices:\nA:\\frac{4}{3}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{3}{5}\n\nYou first think through the reasoning process as an internal monologue, enclose... | 787 | 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{4}{3}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{3}{5}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </t... | 788 | 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... | 789 | 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 = 3.0, BC = 4.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{5}{3}\nC:\\frac{4}{5}\nD:\\frac{3}{4}\n\nYou first think through the reasoning process as an i... | 790 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 3.0, BC = 4.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{5}{3}\nC:\\frac{4}{5}\nD:\\frac{3}{4}\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 791 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AC = 3.0, BC = 4.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{5}{3}\nC:\\frac{4}{5}\nD:\\frac{3}{4}\n\nYou first think through the reasoning process as an internal monologue, enclosed within ... | 792 | 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{5}{3}\nC:\\frac{4}{5}\nD:\\frac{3}{4}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 793 | 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 \\(\\cos... | 794 | 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, AB = 10.0, AC = 8.0, then the value of tanB is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{4}{3}\n\nYou first think through the reasoni... | 795 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB = 10.0, AC = 8.0, then the value of tanB is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within... | 796 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, AB = 10.0, AC = 8.0, then the value of tanB is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within... | 797 | AI4Math_MathVerse/baseline/rollout_8 |
[] | [
{
"from": "human",
"value": "System:\nYou are a helpful assistant.\n\nAs shown in the figure, then the value of tanB is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{4}{3}\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tag... | 798 | 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 right tri... | 799 | AI4Math_MathVerse/baseline/rollout_8 |
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