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"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["To solve the problem, we need to find the value of $k$ such that the circle $x^2 + y^2 = k^2$ has (...TRUNCATED) | 3 | [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["To solve for \\( A \\) in the equation \\( A \\clubsuit 7 = 76 \\) given that \\( A \\clubsuit B =(...TRUNCATED) | 12 | [0.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,0.0,1.0,1.0,0.0,0.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["A regular octagon is an eight-sided polygon with all sides and angles equal. The number of degrees(...TRUNCATED) | 135^\circ | [1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["A cord is a measure of volume which is equal to about $128.79$ cubic ft. What is the approximate v(...TRUNCATED) | B) 1008 sq yd | [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["To solve the problem, let's start with a geometric understanding of the shape and the division of (...TRUNCATED) | \frac{9 - \sqrt{57}}{6} | [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["What is the greatest common divisor of $24$ and $18$?\n\nTo find the greatest common divisor (GCD)(...TRUNCATED) | 86 | [0.0,1.0,0.0,0.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["To find the average score of Alice and Charlie's test, we first need to determine their average sc(...TRUNCATED) | 97 | [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["陼盶n### Step 1: Determine the Expression for \\( f(x) \\)\n1. Since \\( f(x) \\) is an even funct(...TRUNCATED) | x \in (-\infty, -\dfrac{3}{2}] \cup [3, +\infty) | [1.0,1.0,0.0,1.0,1.0,1.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,0.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["To solve the inequality \\(2 - \\ln x \\geq 0\\), we need to isolate the natural logarithm term:\n(...TRUNCATED) | (0, e^2] | [0.0,0.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0,0.0(...TRUNCATED) |
"<|im_start|>system\nPlease reason step by step, and put your final answer within \\boxed{}.<|im_end(...TRUNCATED) | ["To find \\( f(g(3)) \\), we need to first evaluate \\( g(3) \\), and then use the result as the in(...TRUNCATED) | 95 | [1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) |
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