[["Problem: If a drip of water is equivalent to $\\frac{1}{4}$ of a milliliter, how many drips are in a liter of water? Note: 1 liter = 1000 milliliters.\nAnswer:",["\n"]],["Problem: Find the sum of all integers that satisfy these conditions: \\[\n|x|+1>7\\text{ and }|x+1|\\le7.\n\\]\nAnswer:",["\n"]],["Problem: What is the sum of the two values of $x$ for which $(x+3)^2 = 121$?\nAnswer:",["\n"]],["Problem: A triangle is formed with edges along the line $y=\\frac{2}{3}x+5$, the $x$-axis, and the line $x=k$. If the area of the triangle is less than $20$, find the sum of all possible integral values of $k$.\nAnswer:",["\n"]],["Problem: Heisenberg's Uncertainty Principle says that the product of the error in the measurement of a particle's momentum and the error in the measurement of a particle's position must be at least Planck's constant divided by $4\\pi$. Suppose the error in the measurement of the momentum of a particle is halved. By how many percent does the minimum error in the measurement of its position increase?\nAnswer:",["\n"]],["Problem: The expression $2z^2+13z+21$ can be written as $(z + a)(2z + b),$ where $a$ and $b$ are integers. What is $2a + b$?\nAnswer:",["\n"]],["Problem: The graphs of $y=x^4$ and $y=5x^2-6$ intersect at four points with $x$-coordinates $\\pm \\sqrt{m}$ and $\\pm \\sqrt{n}$, where $m > n$. What is $m-n$?\nAnswer:",["\n"]],["Problem: Define the function $g(x)=3x+2$. If $g(x)=2f^{-1}(x)$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $\\dfrac{a+b}{2}$.\nAnswer:",["\n"]],["Problem: On the graph of $y=(x+2)^4-100$, how many points are there whose coordinates are both negative integers?\nAnswer:",["\n"]],["Problem: The arithmetic mean (or average) of $A$, $B$ and $C$ is 10. The value of $A$ is six less than the value of $B$, and the value of $C$ is three more than the value of $B$. What is the value of $C$?\nAnswer:",["\n"]]]
