Dataset Viewer (First 5GB)
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int64 1
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3,176 | "<｜begin▁of▁sentence｜><｜User｜>Evaluate the limit: \\[ L = \\lim_{x \\to 0} \\frac{\\cos((...TRUNCATED) | ["Okay, so I have this limit problem to solve: \n\n\\[ L = \\lim_{x \\to 0} \\frac{\\cos(\\sin x) - (...TRUNCATED) | [0.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | [1,1,1,1,1,1,280,280,280,280,280,280,356,356,356,356,356,356,516,516,516,516,516,516,649,649,649,649(...TRUNCATED) |
13,704 | "<｜begin▁of▁sentence｜><｜User｜>Evaluate the integral \\( \\int_{-\\pi}^{\\pi}\\frac{dx}{\(...TRUNCATED) | ["Okay, so I have this integral to evaluate: the integral from -π to π of dx over (cos²x + 1). Th(...TRUNCATED) | [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) | [1,1,1,1,1,1,158,158,158,158,158,158,446,446,446,446,446,446,568,568,568,568,568,568,697,697,697,697(...TRUNCATED) |
510 | "<｜begin▁of▁sentence｜><｜User｜>Every 5 months, Hal has to replace the batteries in his ca(...TRUNCATED) | ["Okay, so Hal replaces the batteries in his calculator every 5 months. He first did it in May, and (...TRUNCATED) | [0.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | [1,1,1,1,1,1,296,296,296,296,296,296,455,455,455,455,455,455,601,601,601,601,601,601,626,626,626,626(...TRUNCATED) |
6,995 | "<｜begin▁of▁sentence｜><｜User｜>Let $n$ be a natural number $\\geq 2$ and $A$ a matrix in (...TRUNCATED) | ["Okay, so I have this problem here: Let n be a natural number greater than or equal to 2, and A is (...TRUNCATED) | [1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | [1,1,1,1,1,1,300,300,300,300,300,300,381,381,381,381,381,381,558,558,558,558,558,558,697,697,697,697(...TRUNCATED) |
16,053 | "<｜begin▁of▁sentence｜><｜User｜>Calculate the intersection multiplicity of the curves defi(...TRUNCATED) | ["Okay, so I need to find the intersection multiplicity of two curves defined by the equations \\( f(...TRUNCATED) | [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) | [1,1,1,1,1,1,157,157,157,157,157,157,427,427,427,427,427,427,513,513,513,513,513,513,640,640,640,640(...TRUNCATED) |
2,889 | "<｜begin▁of▁sentence｜><｜User｜>Evaluate the limit: \\[ \\lim_{T \\to \\infty} \\frac{1}{T(...TRUNCATED) | ["Okay, so I need to evaluate this limit: \n\n\\[\n\\lim_{T \\to \\infty} \\frac{1}{T} \\int_{0}^{T}(...TRUNCATED) | [1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | [1,1,1,1,1,1,286,286,286,286,286,286,343,343,343,343,343,343,603,603,603,603,603,603,761,761,761,761(...TRUNCATED) |
11,267 | "<｜begin▁of▁sentence｜><｜User｜>Evaluate the double integral \\( \\int\\limits_1^2\\int\\l(...TRUNCATED) | ["Okay, so I've got this double integral to evaluate: \\( \\int\\limits_1^2\\int\\limits_{1/y}^y\\sq(...TRUNCATED) | [1.0,1.0,0.0,1.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,0.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,0.0,1.0,1.0(...TRUNCATED) | [1,1,1,1,1,1,270,270,270,270,270,270,333,333,333,333,333,333,545,545,545,545,545,545,641,641,641,641(...TRUNCATED) |
6,986 | "<｜begin▁of▁sentence｜><｜User｜>Calculate the area enclosed by the cardioid given by the p(...TRUNCATED) | ["Okay, so I need to calculate the area enclosed by the cardioid given by the parametric curve \\( \(...TRUNCATED) | [0.0,1.0,0.0,1.0,1.0,0.0,1.0,0.0,0.0,0.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | [1,1,1,1,1,1,206,206,206,206,206,206,406,406,406,406,406,406,496,496,496,496,496,496,720,720,720,720(...TRUNCATED) |
2,726 | "<｜begin▁of▁sentence｜><｜User｜>Find the upper bound for $y \\in \\mathbb{R}^+$ given that(...TRUNCATED) | ["Alright, so I need to find the upper bound for \\( y \\) in the inequality:\n\n\\[\n\\frac{a + c}{(...TRUNCATED) | [1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | [1,1,1,1,1,1,289,289,289,289,289,289,327,327,327,327,327,327,464,464,464,464,464,464,749,749,749,749(...TRUNCATED) |
17,730 | "<｜begin▁of▁sentence｜><｜User｜>Find the maximum value of \\( \\int_0^1 f^3(x) \\, dx \\) (...TRUNCATED) | ["Okay, so I have this problem here: I need to find the maximum value of the integral from 0 to 1 of(...TRUNCATED) | [1.0,1.0,0.0,1.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0(...TRUNCATED) | [1,1,1,1,1,1,307,307,307,307,307,307,319,319,319,319,319,319,519,519,519,519,519,519,678,678,678,678(...TRUNCATED) |
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