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"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nHow many divisors of (...TRUNCATED)
["<think>Okay, let's try to figure out how many divisors of 63 are also divisors of 72, considering (...TRUNCATED)
[ 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 69, 69, 69, 69, 69, 69, 69, 69, 120, 120, 120, 120, 120, 120, 120, 120 ]
1,397
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nLet the first term of(...TRUNCATED)
["<think>Okay, let's try to solve this problem step by step. The problem is about a geometric sequen(...TRUNCATED)
[1.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED)
[1,1,1,1,1,1,1,1,64,64,64,64,64,64,64,64,157,157,157,157,157,157,157,157,179,179,179,179,179,179,179(...TRUNCATED)
6,666
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nThe Cookie Monster en(...TRUNCATED)
["<think>Okay, let's see. The problem is about finding the radius of a cookie whose boundary is give(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 95, 95, 95, 95, 95, 95, 95, 95, 127, 127, 127, 127, 127, 127, 127, 127 ]
5,249
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nHow many different po(...TRUNCATED)
["<think>Okay, let's try to figure out how many different positive integers divisible by 4 we can fo(...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 88, 88, 88, 88, 88, 88, 88, 88, 145, 145, 145, 145, 145, 145, 145, 145 ]
6,466
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nTwo angles of a trian(...TRUNCATED)
["<think>Okay, let's see. The problem is about a triangle with two angles given: 30 degrees and 45 d(...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 87, 87, 87, 87, 87, 87, 87, 87, 176, 176, 176, 176, 176, 176, 176, 176 ]
6,905
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nAn ellipse has foci a(...TRUNCATED)
["<think>Okay, let's try to solve this problem step by step. The question is about an ellipse with f(...TRUNCATED)
[ 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, 1, 1, 1, 1, 1, 1, 1, 86, 86, 86, 86, 86, 86, 86, 86, 165, 165, 165, 165, 165, 165, 165, 165 ]
7,127
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nA right cone has a ba(...TRUNCATED)
["<think>Okay, let's see. The problem is about a right cone with a base circumference of 16π inches(...TRUNCATED)
[ 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 81, 81, 81, 81, 81, 81, 81, 81, 154, 154, 154, 154, 154, 154, 154, 154 ]
6,506
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nSteve has one quarter(...TRUNCATED)
["<think>Okay, let's try to figure out this problem. Steve has one quarter (25 cents), two nickels ((...TRUNCATED)
[ 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, 1, 1, 1, 1, 1, 1, 1, 62, 62, 62, 62, 62, 62, 62, 62, 138, 138, 138, 138, 138, 138, 138, 138 ]
5,554
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nLet $a$ and $b$ be po(...TRUNCATED)
["<think>Okay, let's try to figure out this problem. We have a series:\n\n\\[\n\\frac{1}{ba} + \\fra(...TRUNCATED)
[ 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, 1, 1, 1, 1, 1, 1, 1, 82, 82, 82, 82, 82, 82, 82, 82, 171, 171, 171, 171, 171, 171, 171, 171 ]
6,017
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nConsider the function(...TRUNCATED)
["<think>Okay, let's see. The problem is to evaluate 2f(3) + 3f(-3) for the function f(x) = 2x² - 4(...TRUNCATED)
[ 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 94, 94, 94, 94, 94, 94, 94, 94, 119, 119, 119, 119, 119, 119, 119, 119 ]
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