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Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify your answer as much as possible.
Examples starts>>>
QUESTION:On a hot day, Megan likes to eat a Popsicle every 15 minutes. Assuming she keeps up that rate of consumption, how many Popsicles can Megan finish in 4 hours and ... |
Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify your answer as much as possible.
Examples starts>>>
QUESTION:The number of diagonals of a regular polygon is subtracted from the number of sides of the polygon and the result is zero. What is the number of sides of this po... |
Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify your answer as much as possible.
Examples starts>>>
QUESTION:The area of trapezoid $ABCD$ is $164 \text{cm}^2$. The altitude is $8 \text{cm}$, $AB$ is $10 \text{cm}$, and $CD$ is $17 \text{cm}$. What is $BC$, in centimet... |
Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify your answer as much as possible.
Examples starts>>>
QUESTION:Let $A_n$ be the sum of the first $n$ terms of the geometric series
\[704 + \frac{704}{2} + \frac{704}{4} + \dotsb,\]and let $B_n$ be the sum of the first $n$ te... |
Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify your answer as much as possible.
Examples starts>>>
QUESTION:Two different prime numbers between $4$ and $18$ are chosen. When their sum is subtracted from their product, which of the following numbers could be obtained? $... |
Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify your answer as much as possible.
Examples starts>>>
QUESTION:Evaluate $\log_432$.
SOLUTION:Let $x=\log_432$. Then, we must have $4^x = 32$. Writing both 4 and 32 with 2 as the base gives $(2^2)^x = 2^5$, so $2^{2x} = 2^5... |
Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify your answer as much as possible.
Examples starts>>>
QUESTION:The numbers $1, 2, 3, 4, 5, 6, 7,$ and $8$ are randomly written on the faces of a regular octahedron so that each face contains a different number. The probabili... |
"Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify yo(...TRUNCATED) |
"Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify yo(...TRUNCATED) |
"Given a mathematics or algebraic problem, Think step by step and determine the answer. Simplify yo(...TRUNCATED) |
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