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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>\nThe problem is about Juan's stamp collection. He has stamps from Brazil, France, Peru, an(...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>\nThe problem involves seating members of a Senate committee around a circular table. There(...TRUNCATED)
|
28800
|
"A Senate committee has 8 Republicans and 6 Democrats. In how many ways can we form a subcommittee (...TRUNCATED)
| ["<think>\nThe problem states a Senate committee has 8 Republicans and 6 Democrats, and I need to fi(...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>\nI have a geometry problem. A gecko is in a room that's 12 feet long, 10 feet wide, and 8 (...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>\nThe problem involves a hexagon inscribed in a circle, and I need to find the measure of a(...TRUNCATED)
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145^\circ
|
"A matrix $\\mathbf{M}$ takes $\\begin{pmatrix} 2 \\\\ -1 \\end{pmatrix}$ to $\\begin{pmatrix} 9 \\\(...TRUNCATED)
| ["<think>\nI have a matrix M that transforms vectors. It maps the vector (2, -1) to (9, 3) and (1, -(...TRUNCATED)
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y = 2x + 3
|
"A rectangular field is enclosed in an athletic track, as shown below. The track consists of two ed(...TRUNCATED)
| ["<think>\nThe problem describes a rectangular field enclosed by an athletic track consisting of two(...TRUNCATED)
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\frac{20000}{\pi}
|
"A reflection takes $\\begin{pmatrix} 5 \\\\ 0 \\end{pmatrix}$ to $\\begin{pmatrix} 4 \\\\ 3 \\end{p(...TRUNCATED)
| ["<think>\nI have a reflection that maps the vector (5, 0) to (4, 3). I need to find out where it ta(...TRUNCATED)
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\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>\nThe problem states a robot moving at a constant speed takes 2.5 hours to travel 1 kilomet(...TRUNCATED)
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10
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"A sequence $(a_n)$ is defined as follows:\n\\[a_{i + 1} = \\frac{1}{1 - a_i}\\]for $i \\ge 1.$ If (...TRUNCATED)
| ["<think>\nThe problem defines a sequence where \\( a_{i+1} = \\frac{1}{1 - a_i} \\) for \\( i \\geq(...TRUNCATED)
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-1
|
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Responses of deepseek-ai/DeepSeek-R1-0528 for MATH-500 Level 5 problems (original dataset: HuggingFaceH4/MATH-500).
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