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{"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}