| {"id": "affine/train/math_prealgebra-4363603/en", "messages": [{"role": "user", "content": "For what value of $n$ is $3^3-5=4^2+n$?"}], "tools": null} |
| {"id": "affine/train/math_algebra-7595820/en", "messages": [{"role": "user", "content": "What is the greatest integer value of $b$ such that $-4$ is not in the range of $y=x^2+bx+12$?"}], "tools": null} |
| {"id": "affine/train/math_geometry-2333548/en", "messages": [{"role": "user", "content": "Kadin makes a snowman by stacking snowballs of radius 2 inches, 3 inches, and 5 inches. Assuming all his snowballs are spherical, what is the total volume of snow he uses, in cubic inches? Express your answer in terms of $\\pi$."}], "tools": null} |
| {"id": "affine/train/math_algebra-15977093/en", "messages": [{"role": "user", "content": "If $m$ is a real number and $x^2+mx+4$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation."}], "tools": null} |
| {"id": "affine/train/math_prealgebra-6982828/en", "messages": [{"role": "user", "content": "A state requires that all boat licenses consist of the letter A or M followed by any five digits. What is the number of groups of letters and numbers available for boat licenses?"}], "tools": null} |
| {"id": "affine/train/math_algebra-15278704/en", "messages": [{"role": "user", "content": "A gasoline tank is $\\frac78$ full. After $12$ gallons have been used, it is half full. How many gallons does this tank hold when it is full?"}], "tools": null} |
| {"id": "affine/train/math_number_theory-5402571/en", "messages": [{"role": "user", "content": "When $\\frac{3}{1250}$ is written as a decimal, how many zeros are there between the decimal point and the first non-zero digit?"}], "tools": null} |
| {"id": "affine/train/math_algebra-10810849/en", "messages": [{"role": "user", "content": "From the following infinite list of numbers, how many are integers? $$\\sqrt{4096},\\sqrt[3]{4096},\\sqrt[4]{4096},\\sqrt[5]{4096},\\sqrt[6]{4096},\\ldots$$"}], "tools": null} |
| {"id": "affine/train/math_geometry-3090335/en", "messages": [{"role": "user", "content": "How many square units are in the area of the parallelogram with vertices at (0, 0), (6, 0), (2, 8) and (8, 8)?"}], "tools": null} |
| {"id": "affine/train/math_intermediate_algebra-5570402/en", "messages": [{"role": "user", "content": "Find the focus of the parabola $y = 4x^2 - 3.$"}], "tools": null} |
| {"id": "affine/train/math_intermediate_algebra-8535128/en", "messages": [{"role": "user", "content": "For which value of $x$ does the function $f(x) = \\frac{2x^2 - 5x - 7}{x^2 - 4x + 1}$ cross its horizontal asymptote?"}], "tools": null} |
| {"id": "affine/train/math_intermediate_algebra-11925264/en", "messages": [{"role": "user", "content": "Given that $-4\\leq x\\leq-2$ and $2\\leq y\\leq4$, what is the largest possible value of $\\frac{x+y}{x}$?"}], "tools": null} |
| {"id": "affine/train/math_algebra-7745671/en", "messages": [{"role": "user", "content": "Suppose that $a^2$ varies inversely with $b^3$. If $a=7$ when $b=3$, find the value of $a^2$ when $b=6$."}], "tools": null} |
| {"id": "affine/train/math_precalculus-2471323/en", "messages": [{"role": "user", "content": "Find the area of the triangle with vertices $(0,7,10),$ $(-1,6,6),$ and $(-4,9,6).$"}], "tools": null} |
| {"id": "affine/train/math_prealgebra-7667387/en", "messages": [{"role": "user", "content": "Express $0.\\overline{1}+0.\\overline{01}+0.\\overline{0001}$ as a common fraction."}], "tools": null} |
| {"id": "affine/train/math_precalculus-9027392/en", "messages": [{"role": "user", "content": "Find all values of $a$ so that the lines specified by\n\\[\\begin{pmatrix} 1 \\\\ 2 \\\\ a \\end{pmatrix} + t \\begin{pmatrix} 2 \\\\ 3 \\\\ 4 \\end{pmatrix}\\]and\n\\[\\begin{pmatrix} 4 \\\\ 1 \\\\ 0 \\end{pmatrix} + u \\begin{pmatrix} 5 \\\\ 2 \\\\ 1 \\end{pmatrix}\\]are skew."}], "tools": null} |
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