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problem
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1.73k
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"$\\textbf{Juan's Old Stamping Grounds}$\n\nJuan organizes the stamps in his collection by country a(...TRUNCATED) | ["<think>\nOkay, so I need to find the average price of Juan's 70s stamps. Hmm, let me start by unde(...TRUNCATED) |
5.4 \text{ cents}
|
"A Senate committee has 5 Democrats, 5 Republicans, and 1 Independent. In how many ways can they si(...TRUNCATED) | ["<think>\nOkay, so we have this problem where there's a Senate committee with 5 Democrats, 5 Republ(...TRUNCATED) |
28800
|
"A Senate committee has 8 Republicans and 6 Democrats. In how many ways can we form a subcommittee (...TRUNCATED) | ["<think>\nOkay, so I need to figure out how many ways we can form a subcommittee of 5 members with (...TRUNCATED) |
1940
|
"A gecko is in a room that is 12 feet long, 10 feet wide and 8 feet tall. The gecko is currently on (...TRUNCATED) | ["<think>\nOkay, so there's this gecko in a room, right? The room is 12 feet long, 10 feet wide, and(...TRUNCATED) |
2\sqrt{113}
|
"A hexagon is inscribed in a circle: [asy]\npair pA, pB, pC, pD, pE, pF, pO;\npO = (0, 0);\npA = pO (...TRUNCATED) | ["<think>\nOkay, so I need to find the measure of angle 伪 in this inscribed hexagon. Hmm, the hexag(...TRUNCATED) |
145^\circ
|
"A matrix $\\mathbf{M}$ takes $\\begin{pmatrix} 2 \\\\ -1 \\end{pmatrix}$ to $\\begin{pmatrix} 9 \\\(...TRUNCATED) | ["<think>\nOkay, so I need to find the image of the line y = 2x + 1 under a matrix transformation M.(...TRUNCATED) |
y = 2x + 3
|
"A rectangular field is enclosed in an athletic track, as shown below. The track consists of two ed(...TRUNCATED) | ["<think>\nOkay, so I need to find the largest possible area of a rectangular field that's enclosed (...TRUNCATED) |
\frac{20000}{\pi}
|
"A reflection takes $\\begin{pmatrix} 5 \\\\ 0 \\end{pmatrix}$ to $\\begin{pmatrix} 4 \\\\ 3 \\end{p(...TRUNCATED) | ["<think>\nOkay, so I need to figure out where the reflection takes the vector (-2, 3). Hmm, reflect(...TRUNCATED) |
\begin{pmatrix} 1/5 \\ -18/5 \end{pmatrix}
|
"A robot moving forward at a constant speed takes 2.5 hours to travel 1 kilometer. Moving forward at(...TRUNCATED) | ["<think>\nOkay, so I need to figure out how long the hallway is that the robot is traveling through(...TRUNCATED) |
10
|
"A sequence $(a_n)$ is defined as follows:\n\\[a_{i + 1} = \\frac{1}{1 - a_i}\\]for $i \\ge 1.$ If (...TRUNCATED) | ["<think>\nOkay, so I need to solve this problem where a sequence is defined by the recurrence relat(...TRUNCATED) |
-1
|
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Responses of Qwen/Qwen3-235B-A22B for MATH-500 Level 5 problems (original dataset: HuggingFaceH4/MATH-500).
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