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1,397
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nLet the first term of(...TRUNCATED)
["<think>\nOkay, so I need to find the smallest n in a geometric sequence where the first term is 3/(...TRUNCATED)
[ 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 64, 64, 64, 64, 64, 64, 64, 64, 157, 157, 157, 157, 157, 157, 157, 157 ]
6,666
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nThe Cookie Monster en(...TRUNCATED)
["<think>\nOkay, so the Cookie Monster found a cookie with the equation x² + y² - 6.5 = x + 3y. Hm(...TRUNCATED)
[ 1, 1, 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, 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>\nOkay, so I need to figure out how many different positive integers divisible by 4 can be (...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 ]
6,506
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nSteve has one quarter(...TRUNCATED)
["<think>\nOkay, so Steve has some coins to pay for different-priced items, right? He has one quarte(...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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>\nOkay, so I need to compute this infinite series: \n\n\\[\n\\frac{1}{ba} + \\frac{1}{a(2a (...TRUNCATED)
[ 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 ]
4,916
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nGiven that $x$ is an (...TRUNCATED)
["<think>\nOkay, so I have this equation here: \\( x\\sqrt{x} - 5x - 9\\sqrt{x} = 35 \\), and I need(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 70, 70, 70, 70, 70, 70, 70, 70, 160, 160, 160, 160, 160, 160, 160, 160 ]
3,730
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nName the greatest who(...TRUNCATED)
["<think>\nOkay, so I need to find the greatest whole number less than 100 that has an odd number of(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 80, 80, 80, 80, 80, 80, 80, 80 ]
218
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nMr. Jones has 6 child(...TRUNCATED)
["<think>\nOkay, so Mr. Jones has 6 children, and we need to find the probability that he has more s(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 89, 89, 89, 89, 89, 89, 89, 89, 138, 138, 138, 138, 138, 138, 138, 138 ]
3,124
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nLet $Q(x)=a_0+a_1x+\\(...TRUNCATED)
["<think>\nOkay, so I need to find the polynomial Q(x) where the coefficients a_i are between 0 and (...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 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, 152, 152, 152, 152, 152, 152, 152, 152 ]
777
"<|im_start|>system\nYou are a helpful assistant.<|im_end|>\n<|im_start|>user\nLet $a_n=6^{n}+8^{n}$(...TRUNCATED)
["<think>\nOkay, so I need to find the remainder when \\( a_{83} = 6^{83} + 8^{83} \\) is divided by(...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 103, 103, 103, 103, 103, 103, 103, 103, 148, 148, 148, 148, 148, 148, 148, 148 ]
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