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0000ff55-d6a9-4c88-9ccc-bc7ba161400c | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{x\\to6^{+}}e^{\\frac{7}{7+\\ln{x}}\\ln{x}}'}] |
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0001c194-ffc2-461f-a7fd-0696fc6a416e | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{\\theta\\to6}\\frac{102}{87\\theta+2^{38}+3}'}] |
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0001f090-3c7d-45f6-8ea3-8f5e5ca3fe1d | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{c\\to2^{+}}\\frac{-\\sin{c}\\tan^{1}{c}}{\\sin^{1}{c}+\\left(3c\\tan{c}+9\\right)\\cos^{2}{c}}'}] |
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000311fe-81bb-4e04-ad12-611df80ecaa9 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{c\\to\\infty}\\frac{\\log_{91}{6}}{\\log_{28}{1}}'}] |
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000452f1-1585-48a1-9827-e21c9a746ec0 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to\\pi/3}\\sin^{4}{t}+\\lim_{t\\to\\pi/5}\\tan^{8}{t}'}] |
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000469c6-45a0-4ccc-830a-ffe6ed972770 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{z\\to\\frac{\\pi}{7}}\\frac{\\tan^{7}{z}+\\tan^{8}{z}}{6}'}] |
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0004cb8d-684d-477d-8549-c063496ac77c | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{h\\to2^{+}}\\frac{-7\\sin{h}\\tan^{0}{h}}{\\left(3+8h\\tan{h}\\right)\\sin^{1}{h}}'}] |
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00063690-954d-42e7-86eb-434d9416ead3 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{v\\to3}\\frac{\\frac{d}{dv}\\left(e^{v}+-2\\sin{v}-9\\right)}{\\frac{d}{dv}\\left(v^{1}+1v^{9}+98v^{4}\\right)}'}] |
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0006dd51-4445-4ed2-bde4-e25c61a021c4 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\frac{\\lim_{k\\to7}43\\left(\\sin{\\left(7k\\right)}\\frac{d}{dk}\\cos{\\left(9k\\right)}+\\sin{\\left(k\\right)}\\frac{d}{dk}\\tan{\\left(k\\right)}\\right)}{\\lim_{k\\to2}8}'}] |
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00071f9f-0ce7-4cd9-b4d2-806e11878a91 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: =\\lim_{p\\to\\infty}8/2'}] |
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00078466-297d-4b47-83e4-3c986499d64e | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{g\\to1}\\frac{\\sin^{5}{g}}{6+-9\\sin{g}}'}] |
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00095b3c-cd87-4326-addc-9225a6042407 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{c\\to\\frac{\\pi}{3}}\\frac{\\cos^{9}{c}+\\tan^{3}{c}}{3}'}] |
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000a68d7-b17b-4d01-891f-1fd24ea33acd | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{x\\to2}\\frac{2\\left(x+0\\right)\\sqrt{x+4}}{1+-9\\sqrt{x+2}}'}] |
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000bad52-50cc-4649-a284-8e5329d45e8c | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to\\frac{\\pi}{2}^{-}}\\frac{2}{4}\\frac{2t+\\left(-4\\pi\\right)^{6}}{\\tan^{5}{t}}'}] |
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000cbabd-624f-4c73-bb6c-53af34b1af7b | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{w\\to\\pi/6}\\frac{2+-3\\csc{w}}{8w+-2\\pi}'}] |
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000e284c-208e-4795-bb08-11811cc30b30 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{b\\to\\infty}\\frac{2}{b^{9}}'}] |
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000efc80-5bc5-4c88-bcb4-e0743e762364 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to1}\\ln{\\left(\\frac{1\\left(\\sqrt{t^{1}-10}-5\\right)}{0-34}\\frac{\\sqrt{t^{7}-89}+2}{\\sqrt{t^{6}-43}+4}\\right)}'}] |
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000f3f60-c994-4df4-81ca-0c10e3feb67c | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{a\\to\\infty}\\frac{9}{a^{-2}}\\left(\\frac{9}{a}+-9\\sin{\\frac{5}{a}}\\right)'}] |
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000fb5a0-66c2-4ebf-b8ab-107aa7c64a03 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to2^{+}}\\frac{-5\\tan{t}\\sin^{1}{t}}{\\left(0+t\\sec{t}\\right)\\cos^{7}{t}}'}] |
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00102415-4c4d-4bf4-97f3-45a22900ff61 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{n\\to5}n^{5}+0+8'}] |
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0010b17e-008c-4d63-a2b3-8cf410621d60 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{a\\to\\frac{\\pi}{4}}\\frac{6\\sec^{7}{a}+-3\\csc^{4}{a}}{7}'}] |
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0010b860-c7cb-4b16-a96a-ed0c6be0c8ab | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{a\\to1^{+}}\\tan^{\\sec{\\left(a\\right)}}\\left(a\\right)'}] |
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00110449-640f-4e28-a238-f05e36278690 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{c\\to1^{+}}c^{\\sin{c}}'}] |
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0012483e-84fc-4178-bb30-55712e1c8d4d | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{v\\to\\pi}\\frac{-3\\cos{v}}{4v+-2\\pi}'}] |
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001296a5-b556-4f3c-9816-dbda788a80d9 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{c\\to-\\infty}\\frac{32c^{4}+c^{3}}{81c^{3}+-c}'}] |
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00139bd7-2393-4e8e-a15b-a6bf43666be3 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{c\\to\\pi/4}\\sin^{5}{c}+\\lim_{c\\to\\pi/2}\\sin^{3}{c}'}] |
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00152584-6bbb-4a11-92dc-2513e56a3fb1 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{v\\to\\frac{\\pi}{7}}\\frac{\\cos^{4}{v}+\\sin^{4}{v}}{9}'}] |
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0015a5b0-bb51-4542-95d7-741611eefa02 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{v\\to8^{+}}\\sqrt{v-4}'}] |
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00169b38-232a-4bc8-b5e5-e22f373fb56e | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{w\\to\\infty}\\frac{4}{9+-3k}'}] |
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0016db89-5535-40d1-8d86-78fff328d632 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: =\\lim_{y\\to4^{+}}\\frac{\\tan{y}}{4}\\lim_{y\\to9^{+}}\\sqrt{y\\left(8+6y\\right)}'}] |
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00179cb3-aee0-400e-a426-64690de3611b | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{h\\to7}\\frac{3+-2\\tan{h}}{h\\sin{h}}'}] |
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00180044-4597-495c-b939-0e98c43b5f8b | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{k\\to\\pi/4}\\frac{\\left(\\sqrt{\\sin{k}}-3\\right)\\left(\\sqrt{\\tan{k}}+7\\right)}{\\sqrt{\\sin{k}}-8}'}] |
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001a55d3-f1f3-4874-802e-a61edf3f9d62 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{\\theta\\to\\frac{\\pi}{8}^{-}}\\sin^{\\tan{\\left(\\theta\\right)}}\\left(\\theta\\right)'}] |
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001b0b6b-42c1-4516-86e6-367c4de17d6e | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to\\infty}\\frac{\\log_{43}{t}}{\\log_{48}{8}}\\frac{\\log_{10}{7}}{\\log_{84}{t}}'}] |
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001c404c-21e3-4ff9-90d8-0f947ce5e90d | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: =\\frac{3}{2}\\lim_{r\\to\\frac{\\pi}{4}^{-}}\\frac{\\frac{d}{dr}\\left(8r+-6\\pi\\right)}{\\frac{d}{dr}\\sin{r}\\tan{r}}'}] |
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001d123d-1574-4816-9899-7173e8d52ec7 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{b\\to8^{-}}\\frac{b}{\\left|b+6\\right|}'}] |
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001d21ff-cb96-4c6b-8ce1-3f5b9286ba80 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{n\\to2}\\frac{n-5}{n+6}'}] |
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001d2402-0530-4fb4-803c-f213c9d88137 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\ln{w}=\\frac{\\lim_{k\\to\\pi/2^{-}}\\frac{d}{dk}\\cos{k}}{\\lim_{k\\to\\pi/4^{-}}\\frac{d}{dk}-6\\tan^{3}{k}}'}] |
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001d5721-2a89-42f4-a433-b08108a2b1b4 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: 8/8\\lim_{y\\to\\pi/4^{-}}\\frac{\\frac{d}{dy}\\left(5y+-2\\pi\\right)}{\\frac{d}{dy}\\sin{y}\\tan{y}}'}] |
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001df94b-222b-41e8-8e75-fab61f0484e2 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{p\\to1}\\frac{\\frac{d}{dp}p}{\\frac{d}{dp}\\sec{p}}'}] |
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001e2ed8-7cdf-4db3-ade3-aa1f3abe68ff | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{k\\to3^{-}}\\frac{k}{\\left|k+1\\right|}'}] |
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001e4ff6-8410-48af-b74c-1b250d51ed3b | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{y\\to\\pi/3^{-}}\\frac{\\cos^{9}{y}}{\\frac{2}{3y+\\left(2\\pi\\right)^{7}}}'}] |
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00204001-953b-4da8-b9be-48c4565e5db5 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{v\\to\\infty}\\frac{\\log_{63}{v}\\log_{10}{3}}{\\log_{25}{8}\\log_{10}{v}}'}] |
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00228ead-f624-450f-a35d-68cdcaca96c1 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{s\\to\\pi/6}\\frac{9\\tan^{9}{s}+-3\\sin^{4}{s}}{2}'}] |
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00229f9b-c719-42ff-b5cc-f714de1ca4ec | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{\\theta\\to\\pi/3}\\frac{9\\cos^{8}{\\theta}+8\\cos^{4}{\\theta}}{9}'}] |
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00235552-f48f-471f-a0fd-cb417b55d63b | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to\\frac{\\pi}{3}}\\sin^{8}{t}+\\sec^{4}{t}'}] |
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002397d0-d232-402c-ac59-f6a4e1c4cd37 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{g\\to4}\\frac{\\frac{d}{dg}\\ln{g}}{\\frac{d}{dg}\\left(3g+-2g^{1}-3\\right)}'}] |
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0023aa26-1bf5-4a37-9eb9-a45b29822a9b | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{x\\to\\frac{\\pi}{2}}\\frac{2\\tan^{2}{x}+-2\\tan^{5}{x}}{6}'}] |
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0023c3ec-06cd-4519-bcf5-32bae79f041c | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{\\theta\\to\\pi/2^{-}}\\frac{\\frac{d}{d\\theta}\\left(\\cos{\\theta}-9\\right)}{\\frac{d}{d\\theta}\\cos{\\theta}}'}] |
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0024550b-9c33-4b9c-837b-388f805a19cc | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{c\\to4}\\frac{\\cos{\\left(c\\right)}}{c\\cos{\\left(3c\\right)}}'}] |
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00245a28-4ff4-4f6c-a46b-cd339061559f | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\ln{w}=\\lim_{v\\to2^{+}}v\\left|\\ln{v}\\right|'}] |
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0024672f-d422-40a5-9325-cfb694e399f8 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: 5/9\\lim_{a\\to8}\\frac{\\sin{\\left(8a\\right)}}{6a}'}] |
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002474a8-aa57-401c-88f6-f9d2df37e0ea | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{u\\to3^{+}}e^{\\csc{u}\\ln{\\left(7+u\\right)}}'}] |
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00247fc8-25ff-4aba-8b18-77f9dbaed6b3 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{y\\to3^{+}}-10\\tan{y}'}] |
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0024a50d-3f10-4242-8ba5-730ba4af4339 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{k\\to\\infty}\\frac{-82}{k^{2}}'}] |
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0024bdff-298e-4466-9da9-e817d5906a12 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{p\\to\\frac{\\pi}{9}}\\csc^{5}{p}+\\lim_{p\\to\\frac{\\pi}{9}}\\tan^{5}{p}'}] |
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0024e97d-82d8-4b61-a51c-c9c9638461ff | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{w\\to9}\\frac{2+\\sin{w}}{0+-4\\cos^{5}{w}}'}] |
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002523f2-bdb7-4606-b860-6698999bcb43 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{u\\to-\\infty}\\frac{2u^{1}+-2u+6}{8u^{5}+5}'}] |
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002588d9-5f86-4b33-9038-4422e57a1c2a | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{b\\to5^{-}}\\frac{b\\left(b-5\\right)}{\\left|b\\right|}'}] |
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0025ab32-f431-4068-abec-7d25292dde78 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: 2/8\\lim_{y\\to\\infty}\\frac{\\sin{3/y}+-72/y\\cos{8/y}}{y^{-4}}'}] |
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0026a0f9-780d-4d5e-ab1e-f4f31139722e | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{b\\to\\frac{\\pi}{6}}\\sin^{2}{b}+\\csc^{8}{b}'}] |
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0026a937-f057-4d8d-a17b-086074206f9c | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{n\\to9}\\frac{n\\left(n-1\\right)\\left(n-6\\right)}{0+-n}'}] |
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0026e03b-82cf-418e-9091-46ca3c8b2bc2 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{\\theta\\to2^{+}}\\frac{-\\sin{\\theta}\\tan^{3}{\\theta}}{\\left(3+6\\theta\\sin{\\theta}\\right)\\tan^{6}{\\theta}}'}] |
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00271789-70db-4af4-8967-0cbd6bd851c9 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{u\\tot}\\frac{\\left(\\sqrt{x}+\\sqrt{a}\\right)\\left(\\sqrt{x}+-2\\sqrt{a}\\right)\\left(u+t\\right)}{\\sqrt{x}+-8\\sqrt{a}}'}] |
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0027921c-0ee3-45b0-b208-61fce9b37bfe | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: e^{\\lim_{h\\to5^{+}}7h\\ln{h}}'}] |
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00289404-6d4e-43d3-a70f-cb5549daaa06 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: =\\lim_{x\\to\\infty}\\frac{51x^{2}+-5x}{60x^{2}}'}] |
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00299197-a479-4d59-a7fb-e6b517b3670a | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to\\frac{\\pi}{8}}\\frac{2\\sec^{4}{t}+8\\sec^{2}{t}}{8}'}] |
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0029e742-72b8-4af7-b2f7-7467ebaaaf7d | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{v\\to9}\\sqrt[3]{2v^{2}+5v-2}'}] |
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002c41a4-28d6-4513-a171-cb3b98032cfa | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to\\frac{\\pi}{9}}\\frac{\\csc{t}}{3t+-2\\pi}'}] |
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002c74d7-9e32-41be-b1a4-2ad7170126f5 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: =\\frac{\\lim_{x\\to2}\\frac{d}{dx}27\\sin{\\left(2x\\right)}\\tan{\\left(x\\right)}}{\\lim_{x\\to8}\\frac{d}{dx}9x}'}] |
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002c93d1-2ca3-418c-a3f6-dbedf32cd629 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{r\\to8^{+}}\\frac{\\frac{d}{dr}\\left(4+-8\\cos^{1}{r}\\right)}{\\frac{d}{dr}\\left(\\tan{r}+r\\sin^{6}{r}\\right)}'}] |
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002d2c0d-da7e-4f62-a53a-93ff51f229dd | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{g\\to\\infty}\\frac{2g^{1}}{e^{g}}'}] |
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002e31e7-8953-46d9-8978-737d87288598 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{c\\to\\frac{\\pi}{3}^{-}}\\frac{5}{8}\\sec^{2}{c}\\left(3c+\\left(-8\\pi\\right)^{8}\\right)'}] |
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002e7fa3-a174-49a4-875b-4b3aa6f33726 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{h\\to\\frac{\\pi}{2}^{-}}\\frac{\\sin^{4}{h}}{\\frac{-4}{8h+\\left(-4\\pi\\right)^{3}}}'}] |
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002f5545-a558-4160-8577-c4849fc817e3 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{w\\to4^{+}}\\frac{8/w}{-2\\cos{w}\\sec{w}}'}] |
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003073ab-8a0d-4b65-ac93-4ef3e38eafb1 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{p\\to7}\\frac{p\\tan{p}}{7+-9\\tan{p}}'}] |
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00313db6-cc29-4cb0-8f67-3bb6a9d4fb7f | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{x\\to3}\\frac{x}{x^{3}-2^{6}}'}] |
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0031e12b-2a56-4a47-ab8c-043ecad751ea | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: u\\lim_{h\\to1}\\frac{h^{1}+-5h}{h^{2}+-h+9}'}] |
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00321846-13a7-4082-a7d5-cbdbe5542b44 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{b\\to\\frac{\\pi}{2}^{-}}\\frac{2}{3}\\tan^{5}{b}\\left(8b+\\left(-9\\pi\\right)^{8}\\right)'}] |
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00323277-1d83-41ff-b353-09bf8e8c6d46 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{w\\to3}\\frac{\\cos{w}-2}{w}'}] |
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0032894f-7642-4506-82aa-0e78c3761673 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{a\\to\\infty}\\frac{21\\ln{a}}{\\sqrt{x}}'}] |
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0032a13f-bf3f-4c99-a26a-48592580e442 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\frac{\\lim_{g\\to5}4\\left(\\frac{9}{2}\\left(4g+\\left(-3g^{6}\\right)^{\\frac{2}{3}}\\right)\\left(4+-3g^{4}\\right)+-5\\frac{6}{7}g^{\\frac{2}{7}}\\right)}{\\lim_{g\\to2}5+-9\\frac{6}{2}g^{\\frac{4}{5}}}'}] |
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0033a9d7-7682-4f0f-ac78-c6557f3cf351 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\ln{v}=\\frac{\\lim_{c\\to\\frac{\\pi}{2}^{-}}\\frac{d}{dc}\\tan{c}}{\\lim_{c\\to\\frac{\\pi}{3}^{-}}\\frac{d}{dc}-8\\tan^{8}{c}}'}] |
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003419d0-6969-4166-a4c9-38952dd65410 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{w\\to\\pi/2^{-}}\\frac{\\sin^{8}{w}\\left(2w+\\left(-7\\pi\\right)^{6}\\right)}{-2}'}] |
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00349de7-e023-4787-802a-9a5bc3ddf2c5 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{a\\to4}\\frac{\\sqrt{3a-6}+0}{a-3}\\frac{\\sqrt{30-3}+3}{\\sqrt{24a-9}+3}'}] |
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0034e662-86b4-43b3-8d21-7b4270935eb5 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{p\\to\\pi/2}\\frac{7\\csc^{9}{p}+-2\\csc^{5}{p}}{2}'}] |
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00358e27-1faf-4827-8540-d3bf4c84eb0c | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: =\\lim_{w\\to2^{-}}\\frac{6}{\\sin{w}}'}] |
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0035ea8a-4a24-478e-9e2d-1707adeab2be | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{w\\to8}\\frac{w\\tan{w}}{2+-9\\tan{w}}'}] |
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0036bb41-0f01-46d8-994e-04da48838dfc | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{u\\to\\infty}\\frac{9}{5u^{7}+7\\sqrt{8u^{6}+1u^{8}}}\\frac{7u^{8}+\\sqrt{4u^{5}+3u^{3}}}{2u^{8}+\\sqrt{2u^{2}+2u^{8}}}'}] |
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0036f722-3e1e-4fe1-ab1d-578fec67da2d | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{n\\to\\infty}\\frac{7n-2}{5n-7}'}] |
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0037a672-cf81-4fc2-9487-088472b7f0f2 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: =\\frac{\\lim_{k\\to\\pi/5^{-}}\\sin{k}}{\\lim_{k\\to\\pi/8^{-}}-9\\sin^{3}{k}}'}] |
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0037d348-6eb6-4ebc-b679-974baef46112 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{w\\to7}\\frac{\\cos{w}+4}{w}'}] |
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00389d15-cbde-4d09-b3b7-a51a6b701eb6 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{h\\to2}\\frac{2\\sin^{0}{\\left(7h\\right)}}{h^{9}}'}] |
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003a76a6-d0e0-4305-82d1-69433b0d501f | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{t\\to6}\\frac{e^{t}+\\cos{t}}{27t^{5}+49t+52}'}] |
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003b64f8-e02a-460d-8ed7-26146e3494b1 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{h\\to\\infty}\\frac{11h^{3}-3}{1h^{4}+0h^{1}}'}] |
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003c3131-004d-441e-bd18-676e3424f5fc | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{x\\to4}\\frac{\\csc{\\left(6x\\right)}}{\\cos{\\left(7x\\right)}}'}] |
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003c66c1-f892-4292-8c00-d8d1e115d2e5 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\lim_{a\\to2}\\frac{3+\\tan{a}}{2+-\\tan^{0}{a}}'}] |
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003cab82-b4ab-4174-999f-b8b8dfefc809 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: \\frac{\\lim_{x\\to9}51\\left(\\cos{\\left(2x\\right)}\\frac{d}{dx}\\sin{\\left(8x\\right)}+\\cos{\\left(9x\\right)}\\frac{d}{dx}\\tan{\\left(2x\\right)}\\right)}{\\lim_{x\\to1}2}'}] |
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003cbc86-449f-4d75-8865-dc24b884b12a | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: 2\\lim_{v\\to1}\\frac{\\sec{\\left(2v\\right)}}{6v}'}] |
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003db51e-d0ca-4e73-b748-4674042c2333 | [{'from': 'human', 'value': '<image>\nWrite the LaTeX code for the expression above. '}, {'from': 'gpt', 'value': 'The LaTeX code for the expression is: -3\\lim_{x\\to-\\infty}\\ln{\\left|x^{0}+3\\right|}'}] |
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