pdf_filename stringlengths 46 46 | page_number int64 1 1 | test_type stringclasses 1
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classes | formula stringlengths 40 81 | first_text stringclasses 0
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|---|---|---|---|---|---|---|---|
bench_data/pdfs/arxiv_math/arxiv_math_0001.pdf | 1 | math_formula | null | null | \sqrt{x1^2 + x2^2} = \sqrt{74} + \mu_{1} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0002.pdf | 1 | math_formula | null | null | \lim_{y \to 0} \frac{\sin(8 y)}{y} = 8 - \alpha_{2} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0003.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial z^2} + k^2 \psi = DERIV_117 + \lambda_{3} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0004.pdf | 1 | math_formula | null | null | \int_{0}^{1} t^{2} e^{-5 t} dt = \frac{2}{5^{3}} + \gamma_{4} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0005.pdf | 1 | math_formula | null | null | \int_{-\infty}^{\infty} t^{5} e^{-5 t} dt = \frac{120}{5^{6}} + \gamma_{5} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0006.pdf | 1 | math_formula | null | null | \int_{-\infty}^{1} t^{4} e^{-2 t} dt = \frac{24}{2^{5}} + \gamma_{6} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0007.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(8 x)}{x} = 8 - \alpha_{7} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0008.pdf | 1 | math_formula | null | null | \sum_{8_z=0}^{N} \frac{1}{8_z^{2}} = \zeta(2) + \theta_{8} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0009.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(8 t)}{t} = 8 - \alpha_{9} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0010.pdf | 1 | math_formula | null | null | \sqrt{y1^2 + y2^2} = \sqrt{109} + \mu_{10} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0011.pdf | 1 | math_formula | null | null | \sum_{11_x=1}^{\infty} \frac{1}{11_x^{5}} = \zeta(5) + \theta_{11} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0012.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(2 z)}{z} = 2 - \alpha_{12} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0013.pdf | 1 | math_formula | null | null | \sum_{13_y=1}^{\infty} \frac{1}{13_y^{4}} = \zeta(4) + \theta_{13} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0014.pdf | 1 | math_formula | null | null | \int_{a}^{b} z^{5} e^{-8 z} dz = \frac{120}{8^{6}} + \gamma_{14} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0015.pdf | 1 | math_formula | null | null | \int_{-\infty}^{b} y^{2} e^{-7 y} dy = \frac{2}{7^{3}} + \gamma_{15} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0016.pdf | 1 | math_formula | null | null | \int_{a}^{b} y^{3} e^{-2 y} dy = \frac{6}{2^{4}} + \gamma_{16} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0017.pdf | 1 | math_formula | null | null | \lim_{y \to 0} \frac{\sin(8 y)}{y} = 8 - \alpha_{17} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0018.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{100} + \mu_{18} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0019.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(6 t)}{t} = 6 - \alpha_{19} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0020.pdf | 1 | math_formula | null | null | \sum_{20_z=0}^{N} \frac{1}{20_z^{2}} = \zeta(2) + \theta_{20} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0021.pdf | 1 | math_formula | null | null | \frac{\partial^2 h}{\partial x^2} + k^2 h = DERIV_32 + \lambda_{21} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0022.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(7 t)}{t} = 7 - \alpha_{22} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0023.pdf | 1 | math_formula | null | null | \sqrt{y1^2 + y2^2} = \sqrt{130} + \mu_{23} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0024.pdf | 1 | math_formula | null | null | \sum_{24_t=1}^{\infty} \frac{1}{24_t^{2}} = \zeta(2) + \theta_{24} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0025.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(3 z)}{z} = 3 - \alpha_{25} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0026.pdf | 1 | math_formula | null | null | \sum_{26_y=0}^{\infty} \frac{1}{26_y^{5}} = \zeta(5) + \theta_{26} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0027.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(4 t)}{t} = 4 - \alpha_{27} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0028.pdf | 1 | math_formula | null | null | \sum_{28_y=1}^{\infty} \frac{1}{28_y^{3}} = \zeta(3) + \theta_{28} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0029.pdf | 1 | math_formula | null | null | \int_{-\pi}^{1} z^{2} e^{-2 z} dz = \frac{2}{2^{3}} + \gamma_{29} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0030.pdf | 1 | math_formula | null | null | \int_{a}^{1} y^{2} e^{-9 y} dy = \frac{2}{9^{3}} + \gamma_{30} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0031.pdf | 1 | math_formula | null | null | \int_{-\infty}^{\pi} y^{2} e^{-2 y} dy = \frac{2}{2^{3}} + \gamma_{31} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0032.pdf | 1 | math_formula | null | null | \int_{0}^{\infty} t^{4} e^{-2 t} dt = \frac{24}{2^{5}} + \gamma_{32} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0033.pdf | 1 | math_formula | null | null | \sum_{33_z=0}^{N} \frac{1}{33_z^{4}} = \zeta(4) + \theta_{33} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0034.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{65} + \mu_{34} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0035.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{117} + \mu_{35} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0036.pdf | 1 | math_formula | null | null | \sum_{36_z=1}^{N} \frac{1}{36_z^{4}} = \zeta(4) + \theta_{36} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0037.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(8 z)}{z} = 8 - \alpha_{37} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0038.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(6 t)}{t} = 6 - \alpha_{38} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0039.pdf | 1 | math_formula | null | null | \frac{\partial^2 h}{\partial t^2} + \lambda^2 h = DERIV_117 + \lambda_{39} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0040.pdf | 1 | math_formula | null | null | \sum_{40_z=1}^{N} \frac{1}{40_z^{2}} = \zeta(2) + \theta_{40} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0041.pdf | 1 | math_formula | null | null | \frac{\partial^2 u}{\partial x^2} + \lambda^2 u = DERIV_80 + \lambda_{41} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0042.pdf | 1 | math_formula | null | null | \int_{0}^{1} x^{2} e^{-3 x} dx = \frac{2}{3^{3}} + \gamma_{42} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0043.pdf | 1 | math_formula | null | null | \frac{\partial^2 u}{\partial z^2} + \lambda^2 u = DERIV_72 + \lambda_{43} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0044.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(3 x)}{x} = 3 - \alpha_{44} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0045.pdf | 1 | math_formula | null | null | \int_{0}^{1} x^{2} e^{-6 x} dx = \frac{2}{6^{3}} + \gamma_{45} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0046.pdf | 1 | math_formula | null | null | \sum_{46_x=1}^{N} \frac{1}{46_x^{4}} = \zeta(4) + \theta_{46} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0047.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(2 x)}{x} = 2 - \alpha_{47} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0048.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial y^2} + \beta^2 \psi = DERIV_225 + \lambda_{48} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0049.pdf | 1 | math_formula | null | null | \int_{0}^{b} y^{5} e^{-2 y} dy = \frac{120}{2^{6}} + \gamma_{49} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0050.pdf | 1 | math_formula | null | null | \int_{-\pi}^{\pi} x^{3} e^{-7 x} dx = \frac{6}{7^{4}} + \gamma_{50} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0051.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(8 t)}{t} = 8 - \alpha_{51} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0052.pdf | 1 | math_formula | null | null | \int_{-\infty}^{\pi} z^{3} e^{-7 z} dz = \frac{6}{7^{4}} + \gamma_{52} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0053.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(7 x)}{x} = 7 - \alpha_{53} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0054.pdf | 1 | math_formula | null | null | \sum_{54_z=0}^{N} \frac{1}{54_z^{3}} = \zeta(3) + \theta_{54} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0055.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(8 z)}{z} = 8 - \alpha_{55} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0056.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial x^2} + \beta^2 \psi = DERIV_32 + \lambda_{56} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0057.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(2 z)}{z} = 2 - \alpha_{57} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0058.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{61} + \mu_{58} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0059.pdf | 1 | math_formula | null | null | \frac{\partial^2 u}{\partial z^2} + \beta^2 u = DERIV_90 + \lambda_{59} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0060.pdf | 1 | math_formula | null | null | \sqrt{x1^2 + x2^2} = \sqrt{72} + \mu_{60} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0061.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(3 t)}{t} = 3 - \alpha_{61} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0062.pdf | 1 | math_formula | null | null | \sum_{62_x=1}^{N} \frac{1}{62_x^{4}} = \zeta(4) + \theta_{62} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0063.pdf | 1 | math_formula | null | null | \int_{0}^{\pi} t^{2} e^{-6 t} dt = \frac{2}{6^{3}} + \gamma_{63} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0064.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(9 x)}{x} = 9 - \alpha_{64} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0065.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{52} + \mu_{65} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0066.pdf | 1 | math_formula | null | null | \lim_{y \to 0} \frac{\sin(4 y)}{y} = 4 - \alpha_{66} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0067.pdf | 1 | math_formula | null | null | \sqrt{y1^2 + y2^2} = \sqrt{34} + \mu_{67} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0068.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{61} + \mu_{68} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0069.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(7 z)}{z} = 7 - \alpha_{69} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0070.pdf | 1 | math_formula | null | null | \sum_{70_z=1}^{N} \frac{1}{70_z^{3}} = \zeta(3) + \theta_{70} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0071.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(2 x)}{x} = 2 - \alpha_{71} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0072.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(8 t)}{t} = 8 - \alpha_{72} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0073.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(9 z)}{z} = 9 - \alpha_{73} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0074.pdf | 1 | math_formula | null | null | \sum_{74_x=0}^{N} \frac{1}{74_x^{5}} = \zeta(5) + \theta_{74} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0075.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(6 x)}{x} = 6 - \alpha_{75} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0076.pdf | 1 | math_formula | null | null | \sum_{76_z=0}^{N} \frac{1}{76_z^{5}} = \zeta(5) + \theta_{76} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0077.pdf | 1 | math_formula | null | null | \lim_{y \to 0} \frac{\sin(6 y)}{y} = 6 - \alpha_{77} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0078.pdf | 1 | math_formula | null | null | \int_{-\infty}^{1} y^{5} e^{-8 y} dy = \frac{120}{8^{6}} + \gamma_{78} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0079.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{117} + \mu_{79} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0080.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{45} + \mu_{80} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0081.pdf | 1 | math_formula | null | null | \int_{-\infty}^{\pi} z^{2} e^{-7 z} dz = \frac{2}{7^{3}} + \gamma_{81} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0082.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(3 z)}{z} = 3 - \alpha_{82} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0083.pdf | 1 | math_formula | null | null | \sum_{83_t=1}^{N} \frac{1}{83_t^{2}} = \zeta(2) + \theta_{83} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0084.pdf | 1 | math_formula | null | null | \sum_{84_t=0}^{N} \frac{1}{84_t^{3}} = \zeta(3) + \theta_{84} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0085.pdf | 1 | math_formula | null | null | \lim_{y \to 0} \frac{\sin(8 y)}{y} = 8 - \alpha_{85} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0086.pdf | 1 | math_formula | null | null | \frac{\partial^2 h}{\partial x^2} + \beta^2 h = DERIV_45 + \lambda_{86} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0087.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(8 x)}{x} = 8 - \alpha_{87} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0088.pdf | 1 | math_formula | null | null | \int_{-\pi}^{1} y^{3} e^{-3 y} dy = \frac{6}{3^{4}} + \gamma_{88} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0089.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{52} + \mu_{89} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0090.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{181} + \mu_{90} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0091.pdf | 1 | math_formula | null | null | \sqrt{y1^2 + y2^2} = \sqrt{106} + \mu_{91} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0092.pdf | 1 | math_formula | null | null | \int_{a}^{\pi} x^{4} e^{-2 x} dx = \frac{24}{2^{5}} + \gamma_{92} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0093.pdf | 1 | math_formula | null | null | \sum_{93_x=1}^{N} \frac{1}{93_x^{3}} = \zeta(3) + \theta_{93} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0094.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{74} + \mu_{94} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0095.pdf | 1 | math_formula | null | null | \int_{-\infty}^{\infty} x^{4} e^{-5 x} dx = \frac{24}{5^{5}} + \gamma_{95} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0096.pdf | 1 | math_formula | null | null | \int_{-\infty}^{1} t^{2} e^{-6 t} dt = \frac{2}{6^{3}} + \gamma_{96} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0097.pdf | 1 | math_formula | null | null | \int_{0}^{b} t^{2} e^{-3 t} dt = \frac{2}{3^{3}} + \gamma_{97} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0098.pdf | 1 | math_formula | null | null | \lim_{y \to 0} \frac{\sin(2 y)}{y} = 2 - \alpha_{98} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0099.pdf | 1 | math_formula | null | null | \sum_{99_z=0}^{\infty} \frac{1}{99_z^{2}} = \zeta(2) + \theta_{99} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0100.pdf | 1 | math_formula | null | null | \sqrt{x1^2 + x2^2} = \sqrt{130} + \mu_{100} | null | null |
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