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LCT English: g of x equals pi cubed LaTeX: g(x) = \pi^3<|endoftext|>
[ 43, 4177, 198, 15823, 25, 308, 286, 2124, 21767, 31028, 13617, 276, 198, 14772, 49568, 25, 308, 7, 87, 8, 796, 3467, 14415, 61, 18, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of n equals pi over n LaTeX: f(n) = \frac{\pi}{n}<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 299, 21767, 31028, 625, 299, 198, 14772, 49568, 25, 277, 7, 77, 8, 796, 3467, 31944, 31478, 14415, 18477, 77, 92, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: y squared over x^2 LaTeX: \frac{y^2}{x^2}<|endoftext|>
[ 43, 4177, 198, 15823, 25, 331, 44345, 625, 2124, 61, 17, 198, 14772, 49568, 25, 3467, 31944, 90, 88, 61, 17, 18477, 87, 61, 17, 92, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: z over x squared LaTeX: \frac{z}{x^2}<|endoftext|>
[ 43, 4177, 198, 15823, 25, 1976, 625, 2124, 44345, 198, 14772, 49568, 25, 3467, 31944, 90, 89, 18477, 87, 61, 17, 92, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals sum from 1 to 5 of x squared LaTeX: f(x) = \sum_{1}^{5} x^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 2160, 422, 352, 284, 642, 286, 2124, 44345, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 3467, 16345, 23330, 16, 92, 36796, 20, 92, 2124, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: h of x equals x squared LaTeX: h(x) = x^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 289, 286, 2124, 21767, 2124, 44345, 198, 14772, 49568, 25, 289, 7, 87, 8, 796, 2124, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: integral from 0 to infinity of y squared LaTeX: \int_{0}^{\inf} y^2 \,dy<|endoftext|>
[ 43, 4177, 198, 15823, 25, 19287, 422, 657, 284, 37174, 286, 331, 44345, 198, 14772, 49568, 25, 3467, 600, 23330, 15, 92, 61, 31478, 10745, 92, 331, 61, 17, 3467, 11, 9892, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: 1 over n LaTeX: \frac{1}{n}<|endoftext|>
[ 43, 4177, 198, 15823, 25, 352, 625, 299, 198, 14772, 49568, 25, 3467, 31944, 90, 16, 18477, 77, 92, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: 2 pi r LaTeX: 2 * \pi * r<|endoftext|>
[ 43, 4177, 198, 15823, 25, 362, 31028, 374, 198, 14772, 49568, 25, 362, 1635, 3467, 14415, 1635, 374, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals x squared LaTeX: f(x) = x^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 2124, 44345, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 2124, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: pi to the fifth power LaTeX: \pi^5<|endoftext|>
[ 43, 4177, 198, 15823, 25, 31028, 284, 262, 8150, 1176, 198, 14772, 49568, 25, 3467, 14415, 61, 20, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: g of x equals x to the eighth power LaTeX: g(x) = x^8<|endoftext|>
[ 43, 4177, 198, 15823, 25, 308, 286, 2124, 21767, 2124, 284, 262, 16974, 1176, 198, 14772, 49568, 25, 308, 7, 87, 8, 796, 2124, 61, 23, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: s to the sixth power LaTeX: s^6<|endoftext|>
[ 43, 4177, 198, 15823, 25, 264, 284, 262, 11695, 1176, 198, 14772, 49568, 25, 264, 61, 21, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: pi squared LaTeX: \pi^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 31028, 44345, 198, 14772, 49568, 25, 3467, 14415, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: 2 pi LaTeX: 2 * \pi<|endoftext|>
[ 43, 4177, 198, 15823, 25, 362, 31028, 198, 14772, 49568, 25, 362, 1635, 3467, 14415, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: 1 over 7 to the seventh power LaTeX: (\frac{1}{7})^7<|endoftext|>
[ 43, 4177, 198, 15823, 25, 352, 625, 767, 284, 262, 14024, 1176, 198, 14772, 49568, 25, 357, 59, 31944, 90, 16, 18477, 22, 30072, 61, 22, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals integral from 0 to 2 of x LaTeX: f(x) = \int_{0}^{2} x \,dx<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 19287, 422, 657, 284, 362, 286, 2124, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 3467, 600, 23330, 15, 92, 36796, 17, 92, 2124, 3467, 11, 34350, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: 1 over 9 to the seventh power LaTeX: (\frac{1}{9})^7<|endoftext|>
[ 43, 4177, 198, 15823, 25, 352, 625, 860, 284, 262, 14024, 1176, 198, 14772, 49568, 25, 357, 59, 31944, 90, 16, 18477, 24, 30072, 61, 22, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: pi times x LaTeX: \pi*x<|endoftext|>
[ 43, 4177, 198, 15823, 25, 31028, 1661, 2124, 198, 14772, 49568, 25, 3467, 14415, 9, 87, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals integral from 1 to 2 of x LaTeX: f(x) = \int_{1}^{2} x \,dx<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 19287, 422, 352, 284, 362, 286, 2124, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 3467, 600, 23330, 16, 92, 36796, 17, 92, 2124, 3467, 11, 34350, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: integral from 0 to infinity of x squared LaTeX: \int_{0}^{\inf} x^2 \,dx<|endoftext|>
[ 43, 4177, 198, 15823, 25, 19287, 422, 657, 284, 37174, 286, 2124, 44345, 198, 14772, 49568, 25, 3467, 600, 23330, 15, 92, 61, 31478, 10745, 92, 2124, 61, 17, 3467, 11, 34350, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: sum from i to n of X i LaTeX: \sum_{i}^{n} X_i<|endoftext|>
[ 43, 4177, 198, 15823, 25, 2160, 422, 1312, 284, 299, 286, 1395, 1312, 198, 14772, 49568, 25, 3467, 16345, 23330, 72, 92, 36796, 77, 92, 1395, 62, 72, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: pi over n LaTeX: \frac{\pi}{n}<|endoftext|>
[ 43, 4177, 198, 15823, 25, 31028, 625, 299, 198, 14772, 49568, 25, 3467, 31944, 31478, 14415, 18477, 77, 92, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals x cubed LaTeX: f(x) = x^3<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 2124, 13617, 276, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 2124, 61, 18, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals x over 9 to the seventh power LaTeX: (f(x) = \frac{x}{9})^7<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 2124, 625, 860, 284, 262, 14024, 1176, 198, 14772, 49568, 25, 357, 69, 7, 87, 8, 796, 3467, 31944, 90, 87, 18477, 24, 30072, 61, 22, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals x squared LaTeX: f(x) = x^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 2124, 44345, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 2124, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals x LaTeX: f(x) = x<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 2124, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 2124, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: z squared LaTeX: z^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 1976, 44345, 198, 14772, 49568, 25, 1976, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: x squared LaTeX: x^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 2124, 44345, 198, 14772, 49568, 25, 2124, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals x times pi to the fifth power LaTeX: f(x) = x * \pi^5<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 2124, 1661, 31028, 284, 262, 8150, 1176, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 2124, 1635, 3467, 14415, 61, 20, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: integral from a to b of x squared LaTeX: \int_{a}^{b} x^2 \,dx<|endoftext|>
[ 43, 4177, 198, 15823, 25, 19287, 422, 257, 284, 275, 286, 2124, 44345, 198, 14772, 49568, 25, 3467, 600, 23330, 64, 92, 36796, 65, 92, 2124, 61, 17, 3467, 11, 34350, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: h of x equals x to the fifth power LaTeX: h(x) = x^5<|endoftext|>
[ 43, 4177, 198, 15823, 25, 289, 286, 2124, 21767, 2124, 284, 262, 8150, 1176, 198, 14772, 49568, 25, 289, 7, 87, 8, 796, 2124, 61, 20, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: f of x equals x over n LaTeX: f(x) = \frac{x}{n}<|endoftext|>
[ 43, 4177, 198, 15823, 25, 277, 286, 2124, 21767, 2124, 625, 299, 198, 14772, 49568, 25, 277, 7, 87, 8, 796, 3467, 31944, 90, 87, 18477, 77, 92, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: sum from 1 to x of x squared LaTeX: \sum_{1}^{x} x^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 2160, 422, 352, 284, 2124, 286, 2124, 44345, 198, 14772, 49568, 25, 3467, 16345, 23330, 16, 92, 36796, 87, 92, 2124, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: integral from negative 1 to infinity of x cubed LaTeX: \int_{-1}^{\inf} x^3 \,dx<|endoftext|>
[ 43, 4177, 198, 15823, 25, 19287, 422, 4633, 352, 284, 37174, 286, 2124, 13617, 276, 198, 14772, 49568, 25, 3467, 600, 23330, 12, 16, 92, 61, 31478, 10745, 92, 2124, 61, 18, 3467, 11, 34350, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: g of x equals x times pi cubed LaTeX: g(x) = x * \pi^3<|endoftext|>
[ 43, 4177, 198, 15823, 25, 308, 286, 2124, 21767, 2124, 1661, 31028, 13617, 276, 198, 14772, 49568, 25, 308, 7, 87, 8, 796, 2124, 1635, 3467, 14415, 61, 18, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: pi to the fourth power LaTeX: \pi^4<|endoftext|>
[ 43, 4177, 198, 15823, 25, 31028, 284, 262, 5544, 1176, 198, 14772, 49568, 25, 3467, 14415, 61, 19, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: integral from negative 1 to 1 of x squared LaTeX: \int_{-1}^{1} x^2 \,dx<|endoftext|>
[ 43, 4177, 198, 15823, 25, 19287, 422, 4633, 352, 284, 352, 286, 2124, 44345, 198, 14772, 49568, 25, 3467, 600, 23330, 12, 16, 92, 36796, 16, 92, 2124, 61, 17, 3467, 11, 34350, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: g of x equals integral from 0 to 10 of x cubed LaTeX: g(x) = \int_{0}^{10} x^3 \,dx<|endoftext|>
[ 43, 4177, 198, 15823, 25, 308, 286, 2124, 21767, 19287, 422, 657, 284, 838, 286, 2124, 13617, 276, 198, 14772, 49568, 25, 308, 7, 87, 8, 796, 3467, 600, 23330, 15, 92, 36796, 940, 92, 2124, 61, 18, 3467, 11, 34350, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
LCT English: g of x equals x squared LaTeX: g(x) = x^2<|endoftext|>
[ 43, 4177, 198, 15823, 25, 308, 286, 2124, 21767, 2124, 44345, 198, 14772, 49568, 25, 308, 7, 87, 8, 796, 2124, 61, 17, 50256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]