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{
"content": "<image>Find x. Round to the nearest tenth, if necessary. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
] |
[
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"
] |
11
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[
{
"content": "<image>In the figure, the vertices of quadrilateral ABCD intersect square EFGH and divide its sides into segments with measures that have a ratio of 1:2. Find the ratio between the areas of ABCD and EFGH. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
] |
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"
] |
5:9
|
[
{
"content": "<image>Find the value of $f$ in the parallelogram You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
] |
[
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"
] |
14
|
[
{
"content": "<image>Find the value of the variable $y$ in the figure. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
] |
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"
] |
125
|
[
{
"content": "<image>Find $m\\angle S$ You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
] |
[
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"
] |
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[
{
"content": "<image>Find $x$ so that $ m \\parallel n $. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
] |
[
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"
] |
13
|
[
{
"content": "<image>Find $ m ∠RSU $ so that $ m \\parallel n $. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
] |
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"
] |
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[
{
"content": "<image>Find $x$. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
] |
[
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"
] |
12
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[
{
"content": "<image>Find the perimeter of the $\\triangle A B C,$ if $\\triangle A B C \\sim \\triangle C B D, A D=5$, $C D=12,$ and $B C=31.2$ You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
}
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"
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[{"content":"<image>$\\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the diam(...TRUNCATED)
| ["data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAgcAAAGvCAYAAADPBnYlAAB+/ElEQVR4nO3dd3iU55X38e9oRqN(...TRUNCATED)
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