messages
listlengths 3
3
| meta
dict |
|---|---|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\epsilon -> \\text{\\takween{ب}}\n- VAR: j -> \\text{\\takween{ث}}\n- VAR: \\psi -> \\text{\\takween{ثة}}\n- VAR: \\lambda -> \\text{\\takween{ليم}}\n- VAR: k -> \\text{\\takween{جو}}\n- VAR: \\mu -> \\text{\\takween{نا}}\n- VAR: o -> \\text{\\takween{مـظـ}}\n- VAR: \\phi -> \\text{\\takween{مـظـ}}\n- VAR: d -> \\text{\\takween{موش}}\n- VAR: \\lambda -> \\text{\\takween{ضيم}}\n- VAR: d -> \\text{\\takween{مـطـ}}\n- VAR: w -> \\text{\\takween{ديم}}\n- VAR: o -> \\text{\\takween{ضا}}\n- VAR: \\epsilon -> \\text{\\takween{ب}}\n- VAR: j -> \\text{\\takween{ث}}\n- VAR: \\psi -> \\text{\\takween{ثة}}\n- VAR: \\lambda -> \\text{\\takween{ليم}}\n- VAR: k -> \\text{\\takween{جو}}\n- VAR: \\mu -> \\text{\\takween{نا}}\n- VAR: o -> \\text{\\takween{مـظـ}}\n- VAR: \\phi -> \\text{\\takween{مـظـ}}\n- VAR: d -> \\text{\\takween{موش}}\n- VAR: \\lambda -> \\text{\\takween{ضيم}}\n- VAR: d -> \\text{\\takween{مـطـ}}\n- VAR: w -> \\text{\\takween{ديم}}\n- VAR: o -> \\text{\\takween{ضا}}\n- FUN: \\sigma -> \\text{\\diwani{طة}}\n- FUN: Z -> \\text{\\diwani{موغ}}\n- FUN: H -> \\text{\\diwani{مة}}\n- FUN: \\sigma -> \\text{\\diwani{ضو}}\n- FUN: \\sigma -> \\text{\\diwani{طة}}\n- FUN: Z -> \\text{\\diwani{موغ}}\n- FUN: H -> \\text{\\diwani{مة}}\n- FUN: \\sigma -> \\text{\\diwani{ضو}}\n\nConvert this:\n\\sum_{\\epsilon=j}^{\\psi} \\left\\{\\underset{\\lambda \\to +\\infty}{\\lim} \\left|\\sqrt[]{\\sigma\\left(k_{136,\\mu,335,787}\\right) Z\\left(\\widetilde{o}_{838,\\phi,64,d}\\right) \\cdot \\sec\\left(364.45_{\\lambda,d,679}\\right)}\\right\\rangle\\right\\} \\ne \\sigma\\left(\\log_{466}\\left(H\\left(\\acute{w}^{o}\\right)\\right)\\right)"
},
{
"role": "assistant",
"content": "\\left(\\arablog{{466}}{\\left(\\prescript{\\text{\\takween{ضا}}}{}{\\acute{\\text{\\takween{ديم}}}}\\right)\\text{\\diwani{مة}}}\\right)\\text{\\diwani{ضو}} \\ne \\left\\{\\left\\langle\\arabsqrt{}{\\arabsec{\\prescript{}{{679}،\\text{\\takween{مـطـ}}،\\text{\\takween{ضيم}}}{{364.45}}} \\cdot \\left(\\prescript{}{\\text{\\takween{موش}}،{64}،\\text{\\takween{مـظـ}}،{838}}{\\widetilde{\\text{\\takween{مـظـ}}}}\\right)\\text{\\diwani{موغ}} \\left(\\prescript{}{{787}،{335}،\\text{\\takween{نا}}،{136}}{\\text{\\takween{جو}}}\\right)\\text{\\diwani{طة}}}\\right|\\arablim{\\text{\\takween{ليم}}}{\\infty +}\\right\\}\\arabsum{\\text{\\takween{ث}}=\\text{\\takween{ب}}}{\\text{\\takween{ثة}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 11451
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\sigma -> \\text{\\takween{مـصـ}}\n- VAR: x -> \\text{\\takween{كي}}\n- VAR: \\gamma -> \\text{\\takween{ض}}\n- VAR: x -> \\text{\\takween{قة}}\n- VAR: \\beta -> \\text{\\takween{وي}}\n- VAR: h -> \\text{\\takween{ضي}}\n- VAR: g -> \\text{\\takween{ثه}}\n- VAR: \\theta -> \\text{\\takween{ا}}\n- VAR: \\sigma -> \\text{\\takween{مـصـ}}\n- VAR: x -> \\text{\\takween{كي}}\n- VAR: \\gamma -> \\text{\\takween{ض}}\n- VAR: x -> \\text{\\takween{قة}}\n- VAR: \\beta -> \\text{\\takween{وي}}\n- VAR: h -> \\text{\\takween{ضي}}\n- VAR: g -> \\text{\\takween{ثه}}\n- VAR: \\theta -> \\text{\\takween{ا}}\n\nConvert this:\n\\tan\\left(\\underset{684}{\\overset{x}{\\prod}} \\left\\{\\left|\\sin\\left(-\\sec\\left(650_{386,\\gamma,x}\\right)\\right)\\right\\rangle\\right]\\right) > \\int \\sum_{h=-\\infty}^{+\\infty} \\left[\\left(\\lim_{g \\to \\theta^-} \\left(\\arccos\\left(\\widetilde{514}_{84}\\%\\right)\\right|\\right]\\right] \\, \\partial \\beta"
},
{
"role": "assistant",
"content": "\\text{\\takween{وي}}{\\ad}\\left[\\left[\\left|\\arabacos{٪\\prescript{}{{84}}{\\widetilde{{514}}}}\\right)\\arablim{\\text{\\takween{ثه}}}{{}^{-}\\text{\\takween{ا}}}\\right)\\right]\\arabsum{\\infty -=\\text{\\takween{ضي}}}{\\infty +}\\int > \\arabtan{\\left[\\left\\langle\\arabsin{\\arabsec{\\prescript{}{\\text{\\takween{قة}}،\\text{\\takween{ض}}،{386}}{{650}}}-}\\right|\\right\\}\\arabprod{{684}}{\\text{\\takween{كي}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 13417
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: q -> \\text{\\takween{جم}}\n- VAR: \\epsilon -> \\text{\\takween{هـ}}\n- VAR: s -> \\text{\\takween{مـب}}\n- VAR: \\sigma -> \\text{\\takween{مـف}}\n- VAR: z -> \\text{\\takween{يـ}}\n- VAR: \\lambda -> \\text{\\takween{مـهـ}}\n- VAR: k -> \\text{\\takween{ض}}\n- VAR: a -> \\text{\\takween{بـ}}\n- VAR: \\omicron -> \\text{\\takween{غـ}}\n- VAR: \\nu -> \\text{\\takween{به}}\n- VAR: f -> \\text{\\takween{مـث}}\n- VAR: \\theta -> \\text{\\takween{طي}}\n- VAR: h -> \\text{\\takween{سا}}\n- VAR: \\beta -> \\text{\\takween{مـث}}\n- VAR: \\delta -> \\text{\\takween{موس}}\n- VAR: \\phi -> \\text{\\takween{مـفـ}}\n- VAR: y -> \\text{\\takween{تو}}\n- VAR: b -> \\text{\\takween{ظـ}}\n- VAR: \\eta -> \\text{\\takween{غه}}\n- VAR: \\omega -> \\text{\\takween{مـظـ}}\n- VAR: \\xi -> \\text{\\takween{موك}}\n\nConvert this:\n\\left\\langle\\sigma \\notin \\omega\\right\\| \\cap \\xi \\in \\omega \\triangle \\delta \\ni \\eta \\setminus b \\nsubseteq y = \\left|\\left\\langle\\left[\\phi \\supset i\\right\\rangle \\setminus \\left[\\delta \\in w\\right\\rangle \\setminus \\left\\langle\\beta \\supsetneq h \\cup \\theta \\notin p\\right\\rangle\\right\\rangle \\cap \\left(\\left\\|\\omicron \\supseteq f\\right) \\setminus \\left\\|\\nu \\supseteq \\epsilon\\right)\\right) \\setminus \\left(\\omicron \\supsetneq \\epsilon\\right\\| \\cup a \\notin k\\right\\} \\triangle \\left(\\lambda \\not\\ni z\\right\\| \\cup \\left(\\sigma \\in s \\setminus \\left(\\epsilon \\subseteq q\\right|\\right\\|"
},
{
"role": "assistant",
"content": "\\left\\|\\left|\\text{\\takween{جم}} \\subseteq \\text{\\takween{هـ}}\\right) \\setminus \\text{\\takween{مـب}} \\in \\text{\\takween{مـف}}\\right) \\cup \\left\\|\\text{\\takween{يـ}} \\not\\ni \\text{\\takween{مـهـ}}\\right) \\triangle \\left\\{\\text{\\takween{ض}} \\notin \\text{\\takween{بـ}} \\cup \\left\\|\\text{\\takween{هـ}} \\supsetneq \\text{\\takween{غـ}}\\right) \\setminus \\left(\\left(\\text{\\takween{هـ}} \\supseteq \\text{\\takween{به}}\\right\\| \\setminus \\left(\\text{\\takween{مـث}} \\supseteq \\text{\\takween{غـ}}\\right\\|\\right) \\cap \\left\\langle\\left\\langlep \\notin \\text{\\takween{طي}} \\cup \\text{\\takween{سا}} \\supsetneq \\text{\\takween{مـث}}\\right\\rangle \\setminus \\left\\langlew \\in \\text{\\takween{موس}}\\right] \\setminus \\left\\langlei \\supset \\text{\\takween{مـفـ}}\\right]\\right\\rangle\\right| = \\text{\\takween{تو}} \\nsubseteq \\text{\\takween{ظـ}} \\setminus \\text{\\takween{غه}} \\ni \\text{\\takween{موس}} \\triangle \\text{\\takween{مـظـ}} \\in \\text{\\takween{موك}} \\cap \\left\\|\\text{\\takween{مـظـ}} \\notin \\text{\\takween{مـف}}\\right\\rangle"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 11517
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\partial -> \\text{\\takween{ث}}\n- VAR: c -> \\text{\\takween{ريم}}\n- VAR: x -> \\text{\\takween{خه}}\n- VAR: e -> \\text{\\takween{ز}}\n- VAR: u -> \\text{\\takween{نا}}\n- VAR: \\alpha -> \\text{\\takween{كيم}}\n- VAR: \\chi -> \\text{\\takween{حه}}\n- VAR: n -> \\text{\\takween{شا}}\n- VAR: l -> \\text{\\takween{مـحـ}}\n- VAR: c -> \\text{\\takween{يا}}\n- VAR: \\nu -> \\text{\\takween{فة}}\n- VAR: w -> \\text{\\takween{ضا}}\n- VAR: \\beta -> \\text{\\takween{كه}}\n- VAR: e -> \\text{\\takween{حـ}}\n- VAR: \\lambda -> \\text{\\takween{مـئ}}\n- VAR: l -> \\text{\\takween{مـضـ}}\n- VAR: \\chi -> \\text{\\takween{مو}}\n- VAR: \\psi -> \\text{\\takween{نا}}\n- VAR: \\theta -> \\text{\\takween{ية}}\n- VAR: \\xi -> \\text{\\takween{ئـ}}\n- VAR: \\psi -> \\text{\\takween{مـق}}\n- VAR: \\epsilon -> \\text{\\takween{حه}}\n- VAR: n -> \\text{\\takween{مـفـ}}\n- VAR: \\chi -> \\text{\\takween{ص}}\n- VAR: i -> \\text{\\takween{مـسـ}}\n- VAR: z -> \\text{\\takween{ها}}\n- VAR: \\lambda -> \\text{\\takween{مـبـ}}\n- VAR: \\mu -> \\text{\\takween{ما}}\n- VAR: p -> \\text{\\takween{قه}}\n- VAR: q -> \\text{\\takween{ثة}}\n- VAR: \\partial -> \\text{\\takween{و}}\n- VAR: s -> \\text{\\takween{مـكـ}}\n- VAR: \\tau -> \\text{\\takween{قو}}\n- VAR: \\theta -> \\text{\\takween{ثيم}}\n- VAR: j -> \\text{\\takween{مـهـ}}\n- VAR: \\partial -> \\text{\\takween{ث}}\n- VAR: c -> \\text{\\takween{ريم}}\n- VAR: x -> \\text{\\takween{خه}}\n- VAR: e -> \\text{\\takween{ز}}\n- VAR: u -> \\text{\\takween{نا}}\n- VAR: \\alpha -> \\text{\\takween{كيم}}\n- VAR: \\chi -> \\text{\\takween{حه}}\n- VAR: n -> \\text{\\takween{شا}}\n- VAR: l -> \\text{\\takween{مـحـ}}\n- VAR: c -> \\text{\\takween{يا}}\n- VAR: \\nu -> \\text{\\takween{فة}}\n- VAR: w -> \\text{\\takween{ضا}}\n- VAR: \\beta -> \\text{\\takween{كه}}\n- VAR: e -> \\text{\\takween{حـ}}\n- VAR: \\lambda -> \\text{\\takween{مـئ}}\n- VAR: l -> \\text{\\takween{مـضـ}}\n- VAR: \\chi -> \\text{\\takween{مو}}\n- VAR: \\psi -> \\text{\\takween{نا}}\n- VAR: \\theta -> \\text{\\takween{ية}}\n- VAR: \\xi -> \\text{\\takween{ئـ}}\n- VAR: \\psi -> \\text{\\takween{مـق}}\n- VAR: \\epsilon -> \\text{\\takween{حه}}\n- VAR: n -> \\text{\\takween{مـفـ}}\n- VAR: \\chi -> \\text{\\takween{ص}}\n- VAR: i -> \\text{\\takween{مـسـ}}\n- VAR: z -> \\text{\\takween{ها}}\n- VAR: \\lambda -> \\text{\\takween{مـبـ}}\n- VAR: \\mu -> \\text{\\takween{ما}}\n- VAR: p -> \\text{\\takween{قه}}\n- VAR: q -> \\text{\\takween{ثة}}\n- VAR: \\partial -> \\text{\\takween{و}}\n- VAR: s -> \\text{\\takween{مـكـ}}\n- VAR: \\tau -> \\text{\\takween{قو}}\n- VAR: \\theta -> \\text{\\takween{ثيم}}\n- VAR: j -> \\text{\\takween{مـهـ}}\n- FUN: Z -> \\text{\\diwani{مي}}\n- FUN: \\omega -> \\text{\\diwani{قه}}\n- FUN: H -> \\text{\\diwani{نو}}\n- FUN: \\sigma -> \\text{\\diwani{عي}}\n- FUN: Z -> \\text{\\diwani{مـتـ}}\n- FUN: Z -> \\text{\\diwani{مي}}\n- FUN: \\omega -> \\text{\\diwani{قه}}\n- FUN: H -> \\text{\\diwani{نو}}\n- FUN: \\sigma -> \\text{\\diwani{عي}}\n- FUN: Z -> \\text{\\diwani{مـتـ}}\n\nConvert this:\n\\left(\\left(Z\\left(\\ddot{\\partial}_{89,568}\\right) / \\tan\\left(c_{146,x,e,108}^{686}\\right) \\bullet \\sinh\\left(u_{\\chi,580,n}^{\\alpha}\\right) + \\omega\\left(\\underline{94}_{2,c,340}^{l}\\right)\\right)^{H\\left(\\vec{\\dddot{802.00}}_{w,\\beta}^{\\nu}\\right) \\sinh\\left(\\vec{e}_{\\lambda,548,l,\\chi}^{502}\\right) \\psi}\\right)^{\\underset{\\theta \\to \\xi}{\\lim} \\left(-\\sigma\\left(203_{\\psi,\\epsilon}\\right) \\bullet \\coth\\left(\\overline{n}^{129.76}\\right)\\right\\rangle} \\triangleq \\underset{973}{\\overset{i}{\\prod}} \\left\\|\\prod_{161.72}^{376} \\left[Z\\left(\\vec{\\widehat{\\lambda}}_{\\mu,130,147,p}^{533}\\right) - \\tilde{248}_{487,749,q,129} - \\cot\\left(\\mathbf{536.95}_{s,\\tau,\\theta,j}^{\\partial}\\right)\\right]\\right|"
},
{
"role": "assistant",
"content": "\\left|\\left[\\arabcot{\\prescript{\\text{\\takween{و}}}{\\text{\\takween{مـهـ}}،\\text{\\takween{ثيم}}،\\text{\\takween{قو}}،\\text{\\takween{مـكـ}}}{\\boldarabic{{536.95}}}} - \\prescript{}{{129}،\\text{\\takween{ثة}}،{749}،{487}}{\\tilde{{248}}} - \\left(\\prescript{{533}}{\\text{\\takween{قه}}،{147}،{130}،\\text{\\takween{ما}}}{\\arabvec{\\widehat{\\text{\\takween{مـبـ}}}}}\\right)\\text{\\diwani{مـتـ}}\\right]\\arabprod{{161.72}}{{376}}\\right\\|\\arabprod{{973}}{\\text{\\takween{مـسـ}}} \\triangleq \\prescript{\\left\\langle\\arabcoth{\\prescript{{129.76}}{}{\\overline{\\text{\\takween{مـفـ}}}}} \\bullet \\left(\\prescript{}{\\text{\\takween{حه}}،\\text{\\takween{مـق}}}{{203}}\\right)\\text{\\diwani{عي}}-\\right)\\arablim{\\text{\\takween{ية}}}{\\text{\\takween{ئـ}}}}{}{\\left(\\prescript{\\text{\\takween{نا}} \\arabsinh{\\prescript{{502}}{\\text{\\takween{مو}}،\\text{\\takween{مـضـ}}،{548}،\\text{\\takween{مـئ}}}{\\arabvec{\\text{\\takween{حـ}}}}} \\left(\\prescript{\\text{\\takween{فة}}}{\\text{\\takween{كه}}،\\text{\\takween{ضا}}}{\\arabvec{\\dddot{{802.00}}}}\\right)\\text{\\diwani{نو}}}{}{\\left(\\left(\\prescript{\\text{\\takween{مـحـ}}}{{340}،\\text{\\takween{يا}}،{2}}{\\underline{{94}}}\\right)\\text{\\diwani{قه}} + \\arabsinh{\\prescript{\\text{\\takween{كيم}}}{\\text{\\takween{شا}}،{580}،\\text{\\takween{حه}}}{\\text{\\takween{نا}}}} \\bullet \\arabtan{\\prescript{{686}}{{108}،\\text{\\takween{ز}}،\\text{\\takween{خه}}،{146}}{\\text{\\takween{ريم}}}} \\backslash \\left(\\prescript{}{{568}،{89}}{\\ddot{\\text{\\takween{ث}}}}\\right)\\text{\\diwani{مي}}\\right)}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 11475
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: u -> \\text{\\takween{قه}}\n- VAR: l -> \\text{\\takween{نا}}\n- VAR: \\partial -> \\text{\\takween{مـشـ}}\n- FUN: h -> \\text{\\diwani{ريم}}\n- FUN: \\phi -> \\text{\\diwani{حو}}\n- FUN: \\chi -> \\text{\\diwani{مـحـ}}\n- FUN: F -> \\text{\\diwani{فا}}\n- FUN: Z -> \\text{\\diwani{ب}}\n- FUN: Y -> \\text{\\diwani{ضيم}}\n- FUN: h -> \\text{\\diwani{مـضـ}}\n- FUN: Y -> \\text{\\diwani{مـلـ}}\n\nConvert this:\n\\partial^{\\left(4\\right)} \\left( u, l, 196.25 \\right\\|=\\begin{bmatrix} -\\exp\\left(\\dot{129}_{445,u}\\right) / h\\left(\\breve{164}_{567,555,570}^{u}\\right) -\\phi\\left(44_{519,175}^{226}\\right) / \\chi\\left(\\vec{647}^{196.25}\\right)\\\\\\log_{106}\\left(\\underset{-\\infty}{\\overset{+\\infty}{\\sum}} \\left\\langle\\cos\\left(\\arctan\\left(F\\left(385_{416}^{897}\\right)\\right)\\right)\\right\\}\\right)\\\\\\left(\\lim_{196.25 \\to 40} \\left[-Z\\left(196.25\\right) Y\\left(46_{l}\\right)\\right\\rangle\\right)^{\\sinh\\left(h\\left(\\mathbf{196.25}\\right)\\right)}\\\\-Y\\left(506_{301,l,196.25}^{196.25}\\right) \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left(\\prescript{{196.25}}{}{\\arabvec{{647}}}\\right)\\text{\\diwani{مـحـ}} \\backslash \\left(\\prescript{{226}}{{175}،{519}}{{44}}\\right)\\text{\\diwani{حو}}- \\left(\\prescript{\\text{\\takween{قه}}}{{570}،{555}،{567}}{\\breve{{164}}}\\right)\\text{\\diwani{ريم}} \\backslash \\arabexp{\\prescript{}{\\text{\\takween{قه}}،{445}}{\\dot{{129}}}}-\\\\\\arablog{{106}}{\\left\\{\\arabcos{\\arabatan{\\left(\\prescript{{897}}{{416}}{{385}}\\right)\\text{\\diwani{فا}}}}\\right\\rangle\\arabsum{\\infty -}{\\infty +}}\\\\\\prescript{\\arabsinh{\\left(\\boldarabic{{196.25}}\\right)\\text{\\diwani{مـضـ}}}}{}{\\left(\\left\\langle\\left(\\prescript{}{\\text{\\takween{نا}}}{{46}}\\right)\\text{\\diwani{ضيم}} \\left({196.25}\\right)\\text{\\diwani{ب}}-\\right]\\arablim{{196.25}}{{40}}\\right)}\\\\\\left(\\prescript{{196.25}}{{196.25}،\\text{\\takween{نا}}،{301}}{{506}}\\right)\\text{\\diwani{مـلـ}}- \\end{bmatrix}=\\left\\| {196.25} ،\\text{\\takween{نا}} ،\\text{\\takween{قه}} \\right)\\prescript{\\left(4\\right)}{}{\\text{\\takween{مـشـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 8683
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\sigma -> \\text{\\takween{مـتـ}}\n- VAR: \\epsilon -> \\text{\\takween{غة}}\n- VAR: l -> \\text{\\takween{مـئ}}\n- VAR: r -> \\text{\\takween{مـسـ}}\n- VAR: i -> \\text{\\takween{نا}}\n\nConvert this:\ni \\ni r = \\left\\{l \\in g\\right\\rangle \\cap \\left\\{\\epsilon \\nsubseteq \\sigma\\right\\rangle"
},
{
"role": "assistant",
"content": "\\left\\langle\\text{\\takween{مـتـ}} \\nsubseteq \\text{\\takween{غة}}\\right\\} \\cap \\left\\langleg \\in \\text{\\takween{مـئ}}\\right\\} = \\text{\\takween{مـسـ}} \\ni \\text{\\takween{نا}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 3860
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\omicron -> \\text{\\takween{خـ}}\n- VAR: \\omega -> \\text{\\takween{ئة}}\n- VAR: r -> \\text{\\takween{ضي}}\n- FUN: \\omega -> \\text{\\diwani{عي}}\n\nConvert this:\nr \\left[ \\omicron, \\omega \\right]=\\left\\{ \\begin{array}{l} \\underset{-\\infty}{\\overset{\\omega}{\\prod}} \\left\\|\\sum_{-\\infty}^{667} \\left[\\underset{\\omega=415}{\\overset{+\\infty}{\\sum}} \\left\\{\\omega\\left(\\grave{628}_{730,\\omicron,\\omicron}^{812}\\right)\\right)\\right)\\right\\|\\\\-\\sinh\\left(\\omega_{\\omicron,\\omicron,\\omega}\\%\\right) \\tan\\left(\\mathbf{\\omicron}_{43,\\omega,\\omega}^{13}\\right)\\\\\\left(-\\sin\\left(\\overline{570}_{\\omicron,\\omicron,609,989}^{818}\\right) \\tan\\left(\\omicron^{519}\\right)\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left\\|\\left(\\left(\\left(\\prescript{{812}}{\\text{\\takween{خـ}}،\\text{\\takween{خـ}}،{730}}{\\grave{{628}}}\\right)\\text{\\diwani{عي}}\\right\\}\\arabsum{{415}=\\text{\\takween{ئة}}}{\\infty +}\\right]\\arabsum{\\infty -}{{667}}\\right\\|\\arabprod{\\infty -}{\\text{\\takween{ئة}}}\\\\\\arabtan{\\prescript{{13}}{\\text{\\takween{ئة}}،\\text{\\takween{ئة}}،{43}}{\\boldarabic{\\text{\\takween{خـ}}}}} \\arabsinh{٪\\prescript{}{\\text{\\takween{ئة}}،\\text{\\takween{خـ}}،\\text{\\takween{خـ}}}{\\text{\\takween{ئة}}}}-\\\\\\left(\\arabtan{\\prescript{{519}}{}{\\text{\\takween{خـ}}}} \\arabsin{\\prescript{{818}}{{989}،{609}،\\text{\\takween{خـ}}،\\text{\\takween{خـ}}}{\\overline{{570}}}}-\\right) \\end{array} \\right\\}=\\left[ \\text{\\takween{ئة}} ،\\text{\\takween{خـ}} \\right]\\text{\\takween{ضي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 6677
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: e -> \\text{\\takween{مـفـ}}\n- VAR: \\alpha -> \\text{\\takween{حا}}\n- VAR: l -> \\text{\\takween{مـصـ}}\n- VAR: \\mu -> \\text{\\takween{خه}}\n- VAR: \\phi -> \\text{\\takween{ز}}\n- VAR: \\kappa -> \\text{\\takween{تيم}}\n\nConvert this:\n\\kappa \\subseteq \\phi \\triangle \\mu \\in l = \\alpha \\notin e"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـفـ}} \\notin \\text{\\takween{حا}} = \\text{\\takween{مـصـ}} \\in \\text{\\takween{خه}} \\triangle \\text{\\takween{ز}} \\subseteq \\text{\\takween{تيم}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 8367
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\rho -> \\text{\\takween{نـ}}\n- VAR: \\iota -> \\text{\\takween{مـكـ}}\n- VAR: u -> \\text{\\takween{دي}}\n- VAR: j -> \\text{\\takween{مـقـ}}\n- VAR: g -> \\text{\\takween{قة}}\n- VAR: \\nu -> \\text{\\takween{جي}}\n- VAR: \\zeta -> \\text{\\takween{صم}}\n- VAR: \\kappa -> \\text{\\takween{ضيم}}\n- VAR: h -> \\text{\\takween{نه}}\n- VAR: x -> \\text{\\takween{مـه}}\n- VAR: \\omega -> \\text{\\takween{شا}}\n- VAR: \\partial -> \\text{\\takween{مـحـ}}\n- VAR: f -> \\text{\\takween{مـهـ}}\n- VAR: m -> \\text{\\takween{مـث}}\n- VAR: \\sigma -> \\text{\\takween{و}}\n- VAR: k -> \\text{\\takween{في}}\n- VAR: \\gamma -> \\text{\\takween{مـل}}\n- VAR: p -> \\text{\\takween{مـيـ}}\n- VAR: n -> \\text{\\takween{مـئـ}}\n- VAR: \\theta -> \\text{\\takween{طـ}}\n- VAR: \\epsilon -> \\text{\\takween{مـقـ}}\n- VAR: e -> \\text{\\takween{صي}}\n\nConvert this:\ne \\notin \\epsilon = \\theta \\supset n \\cap \\left\\langle\\left|\\nu \\not\\ni p\\right) \\cup \\left|\\gamma \\notin k\\right)\\right| \\setminus \\left\\langle\\sigma \\subsetneq m\\right| \\cap \\left|\\left(\\left[f \\subset \\partial\\right) \\cap \\omega \\in w\\right\\rangle \\triangle \\left(\\left\\{x \\in h\\right\\} \\cap \\kappa \\nsubseteq \\zeta\\right\\rangle\\right\\| \\setminus \\left|\\left[\\nu \\notin g\\right] \\triangle \\left(j \\ni u\\right) \\cup \\iota \\in \\rho\\right\\|"
},
{
"role": "assistant",
"content": "\\left\\|\\text{\\takween{نـ}} \\in \\text{\\takween{مـكـ}} \\cup \\left(\\text{\\takween{دي}} \\ni \\text{\\takween{مـقـ}}\\right) \\triangle \\left[\\text{\\takween{قة}} \\notin \\text{\\takween{جي}}\\right]\\right| \\setminus \\left\\|\\left\\langle\\text{\\takween{صم}} \\nsubseteq \\text{\\takween{ضيم}} \\cap \\left\\{\\text{\\takween{نه}} \\in \\text{\\takween{مـه}}\\right\\}\\right) \\triangle \\left\\langlew \\in \\text{\\takween{شا}} \\cap \\left(\\text{\\takween{مـحـ}} \\subset \\text{\\takween{مـهـ}}\\right]\\right)\\right| \\cap \\left|\\text{\\takween{مـث}} \\subsetneq \\text{\\takween{و}}\\right\\rangle \\setminus \\left|\\left(\\text{\\takween{في}} \\notin \\text{\\takween{مـل}}\\right| \\cup \\left(\\text{\\takween{مـيـ}} \\not\\ni \\text{\\takween{جي}}\\right|\\right\\rangle \\cap \\text{\\takween{مـئـ}} \\supset \\text{\\takween{طـ}} = \\text{\\takween{مـقـ}} \\notin \\text{\\takween{صي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 3331
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: i -> \\text{\\takween{حـ}}\n- VAR: \\tau -> \\text{\\takween{هـ}}\n- VAR: h -> \\text{\\takween{فه}}\n- VAR: w -> \\text{\\takween{مـكـ}}\n- VAR: j -> \\text{\\takween{قا}}\n- VAR: \\partial -> \\text{\\takween{ئ}}\n- VAR: \\omicron -> \\text{\\takween{سي}}\n- VAR: b -> \\text{\\takween{كه}}\n- VAR: e -> \\text{\\takween{صه}}\n- VAR: \\kappa -> \\text{\\takween{موس}}\n- VAR: u -> \\text{\\takween{شـ}}\n- VAR: s -> \\text{\\takween{موظ}}\n- VAR: \\gamma -> \\text{\\takween{ع}}\n- VAR: m -> \\text{\\takween{موت}}\n- VAR: \\mu -> \\text{\\takween{مـكـ}}\n- VAR: \\eta -> \\text{\\takween{نه}}\n- VAR: k -> \\text{\\takween{مـج}}\n- VAR: f -> \\text{\\takween{سة}}\n- VAR: q -> \\text{\\takween{يي}}\n- VAR: \\zeta -> \\text{\\takween{ضي}}\n\nConvert this:\n\\left|\\eta \\in u \\cap \\left\\langle\\zeta \\supsetneq \\kappa\\right\\rangle\\right) \\cap \\left|\\mu \\supsetneq f\\right) \\cap \\left(\\left[q \\nsubseteq \\eta\\right] \\triangle \\left[f \\supseteq k\\right]\\right) = \\left[\\eta \\nsupseteq \\mu\\right\\| \\cup m \\in \\kappa \\setminus \\gamma \\supsetneq s \\triangle \\left|\\left\\{u \\not\\ni \\kappa \\triangle \\partial \\in e\\right) \\cup \\left\\langleb \\in \\omicron\\right] \\cup \\partial \\in j \\setminus \\left[w \\nsubseteq h \\setminus \\left|\\tau \\not\\ni i\\right|\\right)\\right)"
},
{
"role": "assistant",
"content": "\\left(\\left(\\left|\\text{\\takween{حـ}} \\not\\ni \\text{\\takween{هـ}}\\right| \\setminus \\text{\\takween{فه}} \\nsubseteq \\text{\\takween{مـكـ}}\\right] \\setminus \\text{\\takween{قا}} \\in \\text{\\takween{ئ}} \\cup \\left[\\text{\\takween{سي}} \\in \\text{\\takween{كه}}\\right\\rangle \\cup \\left(\\text{\\takween{صه}} \\in \\text{\\takween{ئ}} \\triangle \\text{\\takween{موس}} \\not\\ni \\text{\\takween{شـ}}\\right\\}\\right| \\triangle \\text{\\takween{موظ}} \\supsetneq \\text{\\takween{ع}} \\setminus \\text{\\takween{موس}} \\in \\text{\\takween{موت}} \\cup \\left\\|\\text{\\takween{مـكـ}} \\nsupseteq \\text{\\takween{نه}}\\right] = \\left(\\left[\\text{\\takween{مـج}} \\supseteq \\text{\\takween{سة}}\\right] \\triangle \\left[\\text{\\takween{نه}} \\nsubseteq \\text{\\takween{يي}}\\right]\\right) \\cap \\left(\\text{\\takween{سة}} \\supsetneq \\text{\\takween{مـكـ}}\\right| \\cap \\left(\\left\\langle\\text{\\takween{موس}} \\supsetneq \\text{\\takween{ضي}}\\right\\rangle \\cap \\text{\\takween{شـ}} \\in \\text{\\takween{نه}}\\right|"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 6875
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\frac{422}{-2937}"
},
{
"role": "assistant",
"content": "\\frac{422}{2937-}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 7350
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{مـن}}\n- FUN: g -> \\text{\\diwani{مـشـ}}\n- FUN: Y -> \\text{\\diwani{ديم}}\n\nConvert this:\nk^{\\left(4\\right)} \\left\\{ 344 \\right] = \\frac{\\partial^{4}k}{}\\left\\{ 344 \\right]=\\underset{-\\infty}{\\overset{+\\infty}{\\prod}} \\left\\|Y\\left(g\\left(344_{344,265,549}^{344}\\right)\\right)\\right|"
},
{
"role": "assistant",
"content": "\\left|\\left(\\left(\\prescript{{344}}{{549}،{265}،{344}}{{344}}\\right)\\text{\\diwani{مـشـ}}\\right)\\text{\\diwani{ديم}}\\right\\|\\arabprod{\\infty -}{\\infty +}=\\left[ {344} \\right\\}\\frac{\\prescript{4}{}{\\text{\\takween{مـن}}}\\ad}{} = \\left[ {344} \\right\\}\\prescript{\\left(4\\right)}{}{\\text{\\takween{مـن}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 7407
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: d -> \\text{\\takween{به}}\n- FUN: X -> \\text{\\diwani{مـب}}\n- FUN: Y -> \\text{\\diwani{غيم}}\n- FUN: \\phi -> \\text{\\diwani{مـخـ}}\n- FUN: F -> \\text{\\diwani{ئو}}\n- FUN: \\omega -> \\text{\\diwani{شيم}}\n- FUN: Z -> \\text{\\diwani{ق}}\n- FUN: \\phi -> \\text{\\diwani{غيم}}\n- FUN: h -> \\text{\\diwani{مـل}}\n- FUN: X -> \\text{\\diwani{ع}}\n- FUN: X -> \\text{\\diwani{هه}}\n- FUN: \\omega -> \\text{\\diwani{ي}}\n\nConvert this:\nd''' \\left\\langle 62, 384, 334 \\right]=\\left\\{ \\begin{array}{l} \\underset{-\\infty}{\\overset{336}{\\prod}} \\left[\\underset{62=-\\infty}{\\overset{+\\infty}{\\prod}} \\left(\\arcsin\\left(780_{384,384}\\right)\\right]\\right]\\\\\\left(\\prod_{24}^{71} \\left\\{-X\\left(\\mathbf{\\breve{526}}_{334,776,510}\\%\\right)\\right|\\right)^{\\log_{334}\\left(-Y\\left(384\\right)\\right)}\\\\\\left(\\left(\\phi\\left(384_{334,929,629,831}\\right)\\right)^{-\\arctan\\left(382_{193,62,62,384}^{112.63}\\right) F\\left(\\mathbf{\\grave{906}}_{623,334}\\right)}\\right)^{\\lim_{334 \\to +\\infty} \\left[\\omega\\left(\\tilde{263}_{334,206,428,564}^{62}\\right) \\cos\\left(\\vec{354}_{384,810}^{513}\\right)\\right]}\\\\\\left(\\underset{62}{\\overset{+\\infty}{\\prod}} \\left[\\iiint Z\\left(\\vec{62}_{334,334,62}\\right) \\times \\phi\\left(\\mathbf{17}_{384,62,62,22}^{62}\\right) * h\\left(62_{334,243}\\right) \\, \\partial 384\\right)\\right)^{\\int_{-\\infty}^{334} \\left( \\sinh\\left(-\\sec\\left(188_{409,675,674,62}\\right) \\vec{\\widehat{541}} * X\\left(\\dot{384}_{460}\\right) \\bullet X\\left(\\vec{485.12}\\right)\\right) \\, \\partial 384\\right)}\\\\\\underset{-\\infty}{\\overset{+\\infty}{\\prod}} \\left[\\omega\\left(\\vec{62}^{384}\\right)\\right| \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left[\\left[\\arabasin{\\prescript{}{{384}،{384}}{{780}}}\\right)\\arabprod{\\infty -={62}}{\\infty +}\\right]\\arabprod{\\infty -}{{336}}\\\\\\prescript{\\arablog{{334}}{\\left({384}\\right)\\text{\\diwani{غيم}}-}}{}{\\left(\\left|\\left(٪\\prescript{}{{510}،{776}،{334}}{\\boldarabic{\\breve{{526}}}}\\right)\\text{\\diwani{مـب}}-\\right\\}\\arabprod{{24}}{{71}}\\right)}\\\\\\prescript{\\left[\\arabcos{\\prescript{{513}}{{810}،{384}}{\\arabvec{{354}}}} \\left(\\prescript{{62}}{{564}،{428}،{206}،{334}}{\\tilde{{263}}}\\right)\\text{\\diwani{شيم}}\\right]\\arablim{{334}}{\\infty +}}{}{\\left(\\prescript{\\left(\\prescript{}{{334}،{623}}{\\boldarabic{\\grave{{906}}}}\\right)\\text{\\diwani{ئو}} \\arabatan{\\prescript{{112.63}}{{384}،{62}،{62}،{193}}{{382}}}-}{}{\\left(\\left(\\prescript{}{{831}،{629}،{929}،{334}}{{384}}\\right)\\text{\\diwani{مـخـ}}\\right)}\\right)}\\\\\\prescript{\\left({384}{\\ad}\\arabsinh{\\left(\\arabvec{{485.12}}\\right)\\text{\\diwani{هه}} \\bullet \\left(\\prescript{}{{460}}{\\dot{{384}}}\\right)\\text{\\diwani{ع}} * \\arabvec{\\widehat{{541}}} \\arabsec{\\prescript{}{{62}،{674}،{675}،{409}}{{188}}}-}\\right)\\arabint{\\infty -}{{334}}}{}{\\left(\\left({384}{\\ad}\\left(\\prescript{}{{243}،{334}}{{62}}\\right)\\text{\\diwani{مـل}} * \\left(\\prescript{{62}}{{22}،{62}،{62}،{384}}{\\boldarabic{{17}}}\\right)\\text{\\diwani{غيم}} \\times \\left(\\prescript{}{{62}،{334}،{334}}{\\arabvec{{62}}}\\right)\\text{\\diwani{ق}}\\iiint\\right]\\arabprod{{62}}{\\infty +}\\right)}\\\\\\left|\\left(\\prescript{{384}}{}{\\arabvec{{62}}}\\right)\\text{\\diwani{ي}}\\right]\\arabprod{\\infty -}{\\infty +} \\end{array} \\right\\}=\\left[ {334} ،{384} ،{62} \\right\\rangle```\\!\\!\\text{\\takween{به}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 3633
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{Bmatrix} 449 \\\\ 654 \\end{Bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{Bmatrix} {449} \\\\ {654} \\end{Bmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 7127
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\sigma -> \\text{\\takween{\\ad}}\n- VAR: \\kappa -> \\text{\\takween{مـصـ}}\n- VAR: m -> \\text{\\takween{يم}}\n- VAR: i -> \\text{\\takween{ية}}\n- VAR: \\sigma -> \\text{\\takween{\\ad}}\n- VAR: \\kappa -> \\text{\\takween{مـصـ}}\n- VAR: m -> \\text{\\takween{يم}}\n- VAR: i -> \\text{\\takween{ية}}\n- FUN: \\chi -> \\text{\\diwani{مـب}}\n- FUN: f -> \\text{\\diwani{مـصـ}}\n- FUN: \\chi -> \\text{\\diwani{مـب}}\n- FUN: f -> \\text{\\diwani{مـصـ}}\n\nConvert this:\n-\\chi\\left(410\\right) - f\\left(\\sigma_{554,703,167,\\kappa}^{330}\\right) \\leq \\tan\\left(\\acute{m}_{89,i,448}\\right)"
},
{
"role": "assistant",
"content": "\\arabtan{\\prescript{}{{448}،\\text{\\takween{ية}}،{89}}{\\acute{\\text{\\takween{يم}}}}} \\leq \\left(\\prescript{{330}}{\\text{\\takween{مـصـ}}،{167}،{703}،{554}}{\\text{\\takween{\\ad}}}\\right)\\text{\\diwani{مـصـ}} - \\left({410}\\right)\\text{\\diwani{مـب}}-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 13152
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\alpha -> \\text{\\takween{مـنـ}}\n- VAR: \\partial -> \\text{\\takween{غ}}\n- VAR: t -> \\text{\\takween{جه}}\n- VAR: \\lambda -> \\text{\\takween{موث}}\n- VAR: c -> \\text{\\takween{عه}}\n- VAR: \\epsilon -> \\text{\\takween{يا}}\n- VAR: \\tau -> \\text{\\takween{شو}}\n- VAR: l -> \\text{\\takween{مـب}}\n- VAR: r -> \\text{\\takween{خا}}\n- VAR: \\alpha -> \\text{\\takween{مـنـ}}\n- VAR: \\partial -> \\text{\\takween{غ}}\n- VAR: t -> \\text{\\takween{جه}}\n- VAR: \\lambda -> \\text{\\takween{موث}}\n- VAR: c -> \\text{\\takween{عه}}\n- VAR: \\epsilon -> \\text{\\takween{يا}}\n- VAR: \\tau -> \\text{\\takween{شو}}\n- VAR: l -> \\text{\\takween{مـب}}\n- VAR: r -> \\text{\\takween{خا}}\n\nConvert this:\n\\dddot{\\alpha}_{\\partial,t}^{179} \\tanh\\left(\\vec{\\ddddot{226}}_{222}^{\\lambda}\\right) \\geq \\underset{137}{\\overset{110}{\\sum}} \\left(\\log_{r}\\left(\\coth\\left(\\ddot{\\epsilon}_{794,\\tau,l,728}\\%\\right)\\right)\\right]"
},
{
"role": "assistant",
"content": "\\left[\\arablog{\\text{\\takween{خا}}}{\\arabcoth{٪\\prescript{}{{728}،\\text{\\takween{مـب}}،\\text{\\takween{شو}}،{794}}{\\ddot{\\text{\\takween{يا}}}}}}\\right)\\arabsum{{137}}{{110}} \\geq \\arabtanh{\\prescript{\\text{\\takween{موث}}}{{222}}{\\arabvec{\\ddddot{{226}}}}} \\prescript{{179}}{\\text{\\takween{جه}}،\\text{\\takween{غ}}}{\\dddot{\\text{\\takween{مـنـ}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 14689
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\delta -> \\text{\\takween{تة}}\n- VAR: k -> \\text{\\takween{ريم}}\n- VAR: \\eta -> \\text{\\takween{مـل}}\n- VAR: \\kappa -> \\text{\\takween{ظ}}\n- VAR: \\kappa -> \\text{\\takween{كة}}\n- VAR: \\rho -> \\text{\\takween{قة}}\n- VAR: \\mu -> \\text{\\takween{غو}}\n- VAR: w -> \\text{\\takween{موط}}\n- FUN: \\psi -> \\text{\\diwani{ن}}\n- FUN: G -> \\text{\\diwani{صة}}\n- FUN: Z -> \\text{\\diwani{ب}}\n- FUN: \\chi -> \\text{\\diwani{ني}}\n\nConvert this:\n\\left(\\underset{\\delta \\to 491}{\\lim} \\left(G\\left(\\arcsin\\left(\\psi\\left(\\vec{\\ddot{143}}_{902,\\eta,87}^{k}\\right)\\right)\\right)\\right]\\right)^{\\underset{\\kappa \\to +\\infty}{\\lim} \\left\\{\\oint \\left\\{ \\left\\{-Z\\left(170\\right) - \\chi\\left(\\mathbf{\\rho}_{\\mu,793,w,485}^{833}\\right)\\right] \\, \\partial \\kappa\\right\\}\\right\\rangle}"
},
{
"role": "assistant",
"content": "\\prescript{\\left\\langle\\left\\{\\text{\\takween{كة}}{\\ad}\\left[\\left(\\prescript{{833}}{{485}،\\text{\\takween{موط}}،{793}،\\text{\\takween{غو}}}{\\boldarabic{\\text{\\takween{قة}}}}\\right)\\text{\\diwani{ني}} - \\left({170}\\right)\\text{\\diwani{ب}}-\\right\\}\\right\\}\\oint\\right\\}\\arablim{\\text{\\takween{ظ}}}{\\infty +}}{}{\\left(\\left[\\left(\\arabasin{\\left(\\prescript{\\text{\\takween{ريم}}}{{87}،\\text{\\takween{مـل}}،{902}}{\\arabvec{\\ddot{{143}}}}\\right)\\text{\\diwani{ن}}}\\right)\\text{\\diwani{صة}}\\right)\\arablim{\\text{\\takween{تة}}}{{491}}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 9687
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: j -> \\text{\\takween{مـسـ}}\n- FUN: Z -> \\text{\\diwani{فا}}\n- FUN: \\chi -> \\text{\\diwani{ضة}}\n- FUN: f -> \\text{\\diwani{صا}}\n- FUN: \\phi -> \\text{\\diwani{في}}\n\nConvert this:\nj^{\\left(6\\right)} \\left\\langle 359.58 \\right|=\\left\\{ \\begin{array}{l} \\phi\\left(\\frac{\\int_{-\\infty}^{759} \\left\\langle \\cos\\left(359.58_{359.58,359.58,678}^{359.58}\\right) - Z\\left(\\vec{\\underline{359.58}}_{359.58}^{207}\\right) \\, \\partial 359.58\\right\\|}{\\chi\\left(\\mathbf{515}_{359.58,330,814}\\right) / \\tanh\\left(933^{575.53}\\right) + \\mathbf{\\tilde{723}}^{450} \\times \\arctan\\left(335^{65}\\%\\right) / f\\left(\\mathbf{642}^{365}\\right)}\\right)\\\\-\\tanh\\left(790.38_{933,873,359.58,359.58}^{359.58}\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left(\\frac{\\left\\|{359.58}{\\ad}\\left(\\prescript{{207}}{{359.58}}{\\arabvec{\\underline{{359.58}}}}\\right)\\text{\\diwani{فا}} - \\arabcos{\\prescript{{359.58}}{{678}،{359.58}،{359.58}}{{359.58}}}\\right\\rangle\\arabint{\\infty -}{{759}}}{ \\left(\\prescript{{365}}{}{\\boldarabic{{642}}}\\right)\\text{\\diwani{صا}} \\backslash \\arabatan{٪\\prescript{{65}}{}{{335}}} \\times \\prescript{{450}}{}{\\boldarabic{\\tilde{{723}}}} + \\arabtanh{\\prescript{{575.53}}{}{{933}}} \\backslash \\left(\\prescript{}{{814}،{330}،{359.58}}{\\boldarabic{{515}}}\\right)\\text{\\diwani{ضة}}}\\right)\\text{\\diwani{في}}\\\\\\arabtanh{\\prescript{{359.58}}{{359.58}،{359.58}،{873}،{933}}{{790.38}}}- \\end{array} \\right\\}=\\left| {359.58} \\right\\rangle\\prescript{\\left(6\\right)}{}{\\text{\\takween{مـسـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 14908
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n1495 \\in \\mathbb{N}"
},
{
"role": "assistant",
"content": "\\arabN \\in 1495"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 9969
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} 4991 & -9386 & -2648 \\end{bmatrix} \\in \\mathbb{Z}^3"
},
{
"role": "assistant",
"content": "\\prescript{3}{}{\\arabZ} \\in \\begin{bmatrix} 2648- & 9386- & 4991 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 8913
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{array}{r} -603 \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{l} {603}- \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 3999
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: x -> \\text{\\takween{حة}}\n- VAR: s -> \\text{\\takween{فه}}\n- FUN: \\phi -> \\text{\\diwani{ل}}\n- FUN: Z -> \\text{\\diwani{با}}\n\nConvert this:\n\\left\\langle\\left\\langle\\underset{x=-\\infty}{\\overset{836.64}{\\prod}} \\left\\langle-\\phi\\left(735_{565}\\right) \\exp\\left(\\grave{s}^{551}\\right) / Z\\left(614^{527}\\right)\\right]\\right]\\right|"
},
{
"role": "assistant",
"content": "\\left|\\left[\\left[\\left(\\prescript{{527}}{}{{614}}\\right)\\text{\\diwani{با}} \\backslash \\arabexp{\\prescript{{551}}{}{\\grave{\\text{\\takween{فه}}}}} \\left(\\prescript{}{{565}}{{735}}\\right)\\text{\\diwani{ل}}-\\right\\rangle\\arabprod{\\infty -=\\text{\\takween{حة}}}{{836.64}}\\right\\rangle\\right\\rangle"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 8495
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: x -> \\text{\\takween{مـعـ}}\n- VAR: \\beta -> \\text{\\takween{خه}}\n- VAR: \\eta -> \\text{\\takween{صي}}\n- VAR: y -> \\text{\\takween{ما}}\n- VAR: \\omicron -> \\text{\\takween{مـش}}\n- VAR: y -> \\text{\\takween{سه}}\n- VAR: \\eta -> \\text{\\takween{صة}}\n- VAR: a -> \\text{\\takween{طة}}\n- VAR: u -> \\text{\\takween{مو}}\n- VAR: \\xi -> \\text{\\takween{مـظـ}}\n- VAR: \\xi -> \\text{\\takween{مـحـ}}\n- VAR: v -> \\text{\\takween{شه}}\n- VAR: p -> \\text{\\takween{تيم}}\n- VAR: \\delta -> \\text{\\takween{عي}}\n- VAR: p -> \\text{\\takween{سا}}\n- VAR: x -> \\text{\\takween{مـعـ}}\n- VAR: \\beta -> \\text{\\takween{خه}}\n- VAR: \\eta -> \\text{\\takween{صي}}\n- VAR: y -> \\text{\\takween{ما}}\n- VAR: \\omicron -> \\text{\\takween{مـش}}\n- VAR: y -> \\text{\\takween{سه}}\n- VAR: \\eta -> \\text{\\takween{صة}}\n- VAR: a -> \\text{\\takween{طة}}\n- VAR: u -> \\text{\\takween{مو}}\n- VAR: \\xi -> \\text{\\takween{مـظـ}}\n- VAR: \\xi -> \\text{\\takween{مـحـ}}\n- VAR: v -> \\text{\\takween{شه}}\n- VAR: p -> \\text{\\takween{تيم}}\n- VAR: \\delta -> \\text{\\takween{عي}}\n- VAR: p -> \\text{\\takween{سا}}\n- FUN: f -> \\text{\\diwani{حيم}}\n- FUN: \\sigma -> \\text{\\diwani{شي}}\n- FUN: f -> \\text{\\diwani{ر}}\n- FUN: h -> \\text{\\diwani{لم}}\n- FUN: f -> \\text{\\diwani{حيم}}\n- FUN: \\sigma -> \\text{\\diwani{شي}}\n- FUN: f -> \\text{\\diwani{ر}}\n- FUN: h -> \\text{\\diwani{لم}}\n\nConvert this:\nf\\left(x_{435}\\right) = \\int_{921}^{+\\infty} \\left\\langle \\sqrt[]{\\ln\\left(\\mathbf{\\eta}_{y,307,\\omicron,y}\\right) \\cdot \\sigma\\left(\\eta_{a,991,130}\\right)} \\, \\partial \\beta\\right] \\cdot \\left(\\frac{\\tanh\\left(142_{u}\\right)}{-\\cot\\left(919_{\\xi}^{329.58}\\right)}\\right)^{-f\\left(240_{180,206}\\right) \\times \\csc\\left(\\xi_{575,832}\\right) - h\\left(v_{\\delta,p}^{p}\\right)}"
},
{
"role": "assistant",
"content": " \\prescript{ \\left(\\prescript{\\text{\\takween{تيم}}}{\\text{\\takween{سا}}،\\text{\\takween{عي}}}{\\text{\\takween{شه}}}\\right)\\text{\\diwani{لم}} - \\arabcsc{\\prescript{}{{832}،{575}}{\\text{\\takween{مـحـ}}}} \\times \\left(\\prescript{}{{206}،{180}}{{240}}\\right)\\text{\\diwani{ر}}-}{}{\\left(\\frac{\\arabtanh{\\prescript{}{\\text{\\takween{مو}}}{{142}}}}{\\arabcot{\\prescript{{329.58}}{\\text{\\takween{مـظـ}}}{{919}}}-}\\right)} \\cdot \\left[\\text{\\takween{خه}}{\\ad}\\arabsqrt{}{\\left(\\prescript{}{{130}،{991}،\\text{\\takween{طة}}}{\\text{\\takween{صة}}}\\right)\\text{\\diwani{شي}} \\cdot \\arabnlog{\\prescript{}{\\text{\\takween{سه}}،\\text{\\takween{مـش}}،{307}،\\text{\\takween{ما}}}{\\boldarabic{\\text{\\takween{صي}}}}}}\\right\\rangle\\arabint{{921}}{\\infty +} = \\left(\\prescript{}{{435}}{\\text{\\takween{مـعـ}}}\\right)\\text{\\diwani{حيم}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 12504
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\zeta -> \\text{\\takween{مـغـ}}\n- VAR: p -> \\text{\\takween{مـث}}\n- FUN: h -> \\text{\\diwani{يا}}\n- FUN: g -> \\text{\\diwani{ثة}}\n- FUN: Y -> \\text{\\diwani{مـتـ}}\n- FUN: \\phi -> \\text{\\diwani{خه}}\n- FUN: G -> \\text{\\diwani{ث}}\n\nConvert this:\np' \\left\\langle 67, \\zeta \\right\\rangle = \\frac{\\partial p}{\\partial \\zeta}\\left\\langle 67, \\zeta \\right\\rangle=\\begin{bmatrix} \\left(\\sum_{\\zeta=-\\infty}^{+\\infty} \\left\\|\\underset{\\zeta=-\\infty}{\\overset{+\\infty}{\\prod}} \\left[\\mathbf{\\zeta}_{721} - h\\left(\\vec{138.46}_{659,67}\\right)\\right\\}\\right]\\right)^{\\frac{\\lim_{\\zeta \\to 152^+} \\left\\{-\\sinh\\left(\\mathbf{\\hat{\\zeta}}\\right)\\right\\}}{\\sqrt[909]{-\\tan\\left(\\vec{\\tilde{408}}_{67}^{111}\\right) / \\coth\\left(\\mathbf{67}_{663,361,668}^{757}\\right)}}}\\\\\\cos\\left(\\left\\langle\\left(\\arcsin\\left(\\mathbf{678}^{8}\\right) + g\\left(\\mathbf{67}_{788,67,664,573}\\right)\\right)^{\\sin\\left(\\dot{742}_{137}\\right)}\\right)\\right)\\\\\\log_{719}\\left(\\left(-\\ln\\left(\\grave{521.52}_{\\zeta,352,67,817}\\right) \\vec{\\zeta}_{344,67,67}\\%\\right)^{-\\breve{480}_{300,458,\\zeta}^{\\zeta}}\\right)\\\\\\underset{67}{\\overset{+\\infty}{\\prod}} \\left\\|\\sqrt[]{-Y\\left(647.24^{26}\\right)}\\right] \\underset{\\zeta}{\\overset{67}{\\prod}} \\left\\{G\\left(-\\phi\\left(\\dot{67}_{864,\\zeta,557,67}^{9}\\right)\\right)\\right\\} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\prescript{\\frac{\\left\\{\\arabsinh{\\boldarabic{\\hat{\\text{\\takween{مـغـ}}}}}-\\right\\}\\arablim{\\text{\\takween{مـغـ}}}{{}^{+}{152}}}{\\arabsqrt{{909}}{\\arabcoth{\\prescript{{757}}{{668}،{361}،{663}}{\\boldarabic{{67}}}} \\backslash \\arabtan{\\prescript{{111}}{{67}}{\\arabvec{\\tilde{{408}}}}}-}}}{}{\\left(\\left[\\left\\{\\left(\\prescript{}{{67}،{659}}{\\arabvec{{138.46}}}\\right)\\text{\\diwani{يا}} - \\prescript{}{{721}}{\\boldarabic{\\text{\\takween{مـغـ}}}}\\right]\\arabprod{\\infty -=\\text{\\takween{مـغـ}}}{\\infty +}\\right\\|\\arabsum{\\infty -=\\text{\\takween{مـغـ}}}{\\infty +}\\right)}\\\\\\arabcos{\\left(\\prescript{\\arabsin{\\prescript{}{{137}}{\\dot{{742}}}}}{}{\\left(\\left(\\prescript{}{{573}،{664}،{67}،{788}}{\\boldarabic{{67}}}\\right)\\text{\\diwani{ثة}} + \\arabasin{\\prescript{{8}}{}{\\boldarabic{{678}}}}\\right)}\\right\\rangle}\\\\\\arablog{{719}}{\\prescript{\\prescript{\\text{\\takween{مـغـ}}}{\\text{\\takween{مـغـ}}،{458}،{300}}{\\breve{{480}}}-}{}{\\left(٪\\prescript{}{{67}،{67}،{344}}{\\arabvec{\\text{\\takween{مـغـ}}}} \\arabnlog{\\prescript{}{{817}،{67}،{352}،\\text{\\takween{مـغـ}}}{\\grave{{521.52}}}}-\\right)}}\\\\ \\left\\{\\left(\\left(\\prescript{{9}}{{67}،{557}،\\text{\\takween{مـغـ}}،{864}}{\\dot{{67}}}\\right)\\text{\\diwani{خه}}-\\right)\\text{\\diwani{ث}}\\right\\}\\arabprod{\\text{\\takween{مـغـ}}}{{67}} \\left[\\arabsqrt{}{\\left(\\prescript{{26}}{}{{647.24}}\\right)\\text{\\diwani{مـتـ}}-}\\right\\|\\arabprod{{67}}{\\infty +} \\end{bmatrix}=\\left\\langle \\text{\\takween{مـغـ}} ،{67} \\right\\rangle\\frac{\\text{\\takween{مـث}}\\ad}{\\text{\\takween{مـغـ}}\\ad} = \\left\\langle \\text{\\takween{مـغـ}} ،{67} \\right\\rangle`\\!\\!\\text{\\takween{مـث}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 11910
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\beta -> \\text{\\takween{هو}}\n- VAR: r -> \\text{\\takween{هـ}}\n- VAR: h -> \\text{\\takween{مـش}}\n- VAR: \\zeta -> \\text{\\takween{مـض}}\n- VAR: \\xi -> \\text{\\takween{حيم}}\n- VAR: s -> \\text{\\takween{م}}\n\nConvert this:\ns \\subseteq \\xi = \\zeta \\not\\ni h \\setminus \\left[r \\not\\ni \\beta\\right)"
},
{
"role": "assistant",
"content": "\\left(\\text{\\takween{هو}} \\not\\ni \\text{\\takween{هـ}}\\right] \\setminus \\text{\\takween{مـش}} \\not\\ni \\text{\\takween{مـض}} = \\text{\\takween{حيم}} \\subseteq \\text{\\takween{م}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 2718
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} 9608.768 +4233.542i & 8188.169 +3134.877i & -9324.802 +9652.500i & -4416.978 +319.345i & 5569.444 +6447.971i \\\\ 4529.054 +5300.388i & -2909.927 -813.767i & 5190.480 +3916.568i & -7676.451 -2852.657i & -6415.530 -9656.673i \\\\ -2731.632 -3344.102i & -9689.278 +7892.573i & -573.485 +7889.291i & 4158.853 +3338.814i & -284.633 -8079.198i \\\\ 3360.735 -8052.490i & -9192.062 +533.186i & 3995.253 +8671.982i & -1732.377 +908.564i & -7667.553 -7874.454i \\\\ 2275.641 -2229.746i & 6794.135 -1481.131i & 6483.094 -794.098i & 3574.768 -9215.121i & -1995.539 -4787.549i \\\\ -1911.177 +7549.264i & -5408.043 +6324.525i & -8865.612 +8862.569i & -6931.747 +7158.943i & 3433.931 +6137.598i \\end{bmatrix} \\in \\mathbb{C}^\\left(6 \\times 5\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(5 \\times 6\\right)}{}{\\arabC} \\in \\begin{bmatrix} \\text{ت}6447.971+ 5569.444 & \\text{ت}319.345+ 4416.978- & \\text{ت}9652.500+ 9324.802- & \\text{ت}3134.877+ 8188.169 & \\text{ت}4233.542+ 9608.768 \\\\ \\text{ت}9656.673- 6415.530- & \\text{ت}2852.657- 7676.451- & \\text{ت}3916.568+ 5190.480 & \\text{ت}813.767- 2909.927- & \\text{ت}5300.388+ 4529.054 \\\\ \\text{ت}8079.198- 284.633- & \\text{ت}3338.814+ 4158.853 & \\text{ت}7889.291+ 573.485- & \\text{ت}7892.573+ 9689.278- & \\text{ت}3344.102- 2731.632- \\\\ \\text{ت}7874.454- 7667.553- & \\text{ت}908.564+ 1732.377- & \\text{ت}8671.982+ 3995.253 & \\text{ت}533.186+ 9192.062- & \\text{ت}8052.490- 3360.735 \\\\ \\text{ت}4787.549- 1995.539- & \\text{ت}9215.121- 3574.768 & \\text{ت}794.098- 6483.094 & \\text{ت}1481.131- 6794.135 & \\text{ت}2229.746- 2275.641 \\\\ \\text{ت}6137.598+ 3433.931 & \\text{ت}7158.943+ 6931.747- & \\text{ت}8862.569+ 8865.612- & \\text{ت}6324.525+ 5408.043- & \\text{ت}7549.264+ 1911.177- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 14302
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{غة}}\n- VAR: e -> \\text{\\takween{ضا}}\n\nConvert this:\n\\begin{array}{rrrr} -k & -874 & e & 461 \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{llll} {461} & \\text{\\takween{ضا}} & {874}- & \\text{\\takween{غة}}- \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 1319
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{مـجـ}}\n- VAR: \\delta -> \\text{\\takween{تة}}\n- VAR: \\epsilon -> \\text{\\takween{فه}}\n- VAR: e -> \\text{\\takween{فم}}\n- VAR: u -> \\text{\\takween{مـنـ}}\n- VAR: \\delta -> \\text{\\takween{جو}}\n- VAR: p -> \\text{\\takween{مـطـ}}\n- VAR: y -> \\text{\\takween{و}}\n- VAR: a -> \\text{\\takween{ليم}}\n- VAR: \\rho -> \\text{\\takween{عه}}\n- VAR: k -> \\text{\\takween{شا}}\n- VAR: b -> \\text{\\takween{نـ}}\n- VAR: \\theta -> \\text{\\takween{مـتـ}}\n- VAR: h -> \\text{\\takween{خي}}\n- VAR: \\iota -> \\text{\\takween{زيم}}\n- VAR: t -> \\text{\\takween{ث}}\n- VAR: k -> \\text{\\takween{مـجـ}}\n- VAR: \\delta -> \\text{\\takween{تة}}\n- VAR: \\epsilon -> \\text{\\takween{فه}}\n- VAR: e -> \\text{\\takween{فم}}\n- VAR: u -> \\text{\\takween{مـنـ}}\n- VAR: \\delta -> \\text{\\takween{جو}}\n- VAR: p -> \\text{\\takween{مـطـ}}\n- VAR: y -> \\text{\\takween{و}}\n- VAR: a -> \\text{\\takween{ليم}}\n- VAR: \\rho -> \\text{\\takween{عه}}\n- VAR: k -> \\text{\\takween{شا}}\n- VAR: b -> \\text{\\takween{نـ}}\n- VAR: \\theta -> \\text{\\takween{مـتـ}}\n- VAR: h -> \\text{\\takween{خي}}\n- VAR: \\iota -> \\text{\\takween{زيم}}\n- VAR: t -> \\text{\\takween{ث}}\n- FUN: \\phi -> \\text{\\diwani{مو}}\n- FUN: h -> \\text{\\diwani{لي}}\n- FUN: \\omega -> \\text{\\diwani{ي}}\n- FUN: \\phi -> \\text{\\diwani{مو}}\n- FUN: h -> \\text{\\diwani{لي}}\n- FUN: \\omega -> \\text{\\diwani{ي}}\n\nConvert this:\n\\log_{h}\\left(\\underset{k \\to \\delta^-}{\\lim} \\left\\|\\underset{\\epsilon \\to 748}{\\lim} \\left(-e + \\arccos\\left(u^{\\delta}\\%\\right)\\right|\\right\\rangle / \\ln\\left(\\log_{220}\\left(\\arcsin\\left(\\vec{\\acute{p}}_{356,a,697}^{y}\\right) - \\phi\\left(\\rho_{892,k,b}\\right) - \\arccos\\left(\\theta_{452,397}^{770}\\right)\\right)\\right)\\right) \\approx \\omega\\left(\\left|\\underset{\\iota \\to +\\infty}{\\lim} \\left[\\left(-h\\left(615_{64,378,t}\\right)\\right)^{-\\sinh\\left(\\widetilde{220}\\right)}\\right\\}\\right\\|\\right)"
},
{
"role": "assistant",
"content": "\\left(\\left\\|\\left\\{\\prescript{\\arabsinh{\\widetilde{{220}}}-}{}{\\left(\\left(\\prescript{}{\\text{\\takween{ث}}،{378}،{64}}{{615}}\\right)\\text{\\diwani{لي}}-\\right)}\\right]\\arablim{\\text{\\takween{زيم}}}{\\infty +}\\right|\\right)\\text{\\diwani{ي}} \\approx \\arablog{\\text{\\takween{خي}}}{ \\arabnlog{\\arablog{{220}}{\\arabacos{\\prescript{{770}}{{397}،{452}}{\\text{\\takween{مـتـ}}}} - \\left(\\prescript{}{\\text{\\takween{نـ}}،\\text{\\takween{شا}}،{892}}{\\text{\\takween{عه}}}\\right)\\text{\\diwani{مو}} - \\arabasin{\\prescript{\\text{\\takween{و}}}{{697}،\\text{\\takween{ليم}}،{356}}{\\arabvec{\\acute{\\text{\\takween{مـطـ}}}}}}}} / \\left\\langle\\left|\\arabacos{٪\\prescript{\\text{\\takween{جو}}}{}{\\text{\\takween{مـنـ}}}} + \\text{\\takween{فم}}-\\right)\\arablim{\\text{\\takween{فه}}}{{748}}\\right\\|\\arablim{\\text{\\takween{مـجـ}}}{{}^{-}\\text{\\takween{تة}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 7452
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n4302.793 \\in \\mathbb{R}"
},
{
"role": "assistant",
"content": "\\arabR \\in 4302.793"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 5941
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: o -> \\text{\\takween{ث}}\n- VAR: q -> \\text{\\takween{دي}}\n- VAR: \\omega -> \\text{\\takween{غو}}\n- VAR: \\nu -> \\text{\\takween{هي}}\n- VAR: \\gamma -> \\text{\\takween{ئة}}\n- VAR: \\mu -> \\text{\\takween{مـقـ}}\n- VAR: \\theta -> \\text{\\takween{يـ}}\n- VAR: o -> \\text{\\takween{ث}}\n- VAR: q -> \\text{\\takween{دي}}\n- VAR: \\omega -> \\text{\\takween{غو}}\n- VAR: \\nu -> \\text{\\takween{هي}}\n- VAR: \\gamma -> \\text{\\takween{ئة}}\n- VAR: \\mu -> \\text{\\takween{مـقـ}}\n- VAR: \\theta -> \\text{\\takween{يـ}}\n- FUN: \\phi -> \\text{\\diwani{قه}}\n- FUN: f -> \\text{\\diwani{يي}}\n- FUN: \\phi -> \\text{\\diwani{قه}}\n- FUN: f -> \\text{\\diwani{يي}}\n\nConvert this:\n\\lim_{o \\to q} \\left\\{\\phi\\left(\\cos\\left(332_{871,\\omega,140,\\nu}\\right)\\right)\\right) \\ne \\sqrt[\\theta]{f\\left(677_{510,\\mu}^{\\gamma}\\right)}"
},
{
"role": "assistant",
"content": "\\arabsqrt{\\text{\\takween{يـ}}}{\\left(\\prescript{\\text{\\takween{ئة}}}{\\text{\\takween{مـقـ}}،{510}}{{677}}\\right)\\text{\\diwani{يي}}} \\ne \\left(\\left(\\arabcos{\\prescript{}{\\text{\\takween{هي}}،{140}،\\text{\\takween{غو}}،{871}}{{332}}}\\right)\\text{\\diwani{قه}}\\right\\}\\arablim{\\text{\\takween{ث}}}{\\text{\\takween{دي}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 1172
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\omega -> \\text{\\takween{مـب}}\n- VAR: \\gamma -> \\text{\\takween{مـك}}\n- VAR: v -> \\text{\\takween{مـغـ}}\n- VAR: \\psi -> \\text{\\takween{مـص}}\n- VAR: v -> \\text{\\takween{ظو}}\n- VAR: \\tau -> \\text{\\takween{به}}\n- VAR: \\rho -> \\text{\\takween{ف}}\n- VAR: \\rho -> \\text{\\takween{هة}}\n- VAR: \\rho -> \\text{\\takween{مـسـ}}\n- VAR: \\sigma -> \\text{\\takween{مـهـ}}\n- VAR: d -> \\text{\\takween{مـظـ}}\n- VAR: e -> \\text{\\takween{موك}}\n- VAR: m -> \\text{\\takween{ع}}\n- VAR: p -> \\text{\\takween{موس}}\n- VAR: \\zeta -> \\text{\\takween{مـس}}\n- VAR: \\delta -> \\text{\\takween{وي}}\n- VAR: u -> \\text{\\takween{عو}}\n- VAR: \\chi -> \\text{\\takween{مـئ}}\n- VAR: w -> \\text{\\takween{تيم}}\n- VAR: \\omega -> \\text{\\takween{مـب}}\n- VAR: \\gamma -> \\text{\\takween{مـك}}\n- VAR: v -> \\text{\\takween{مـغـ}}\n- VAR: \\psi -> \\text{\\takween{مـص}}\n- VAR: v -> \\text{\\takween{ظو}}\n- VAR: \\tau -> \\text{\\takween{به}}\n- VAR: \\rho -> \\text{\\takween{ف}}\n- VAR: \\rho -> \\text{\\takween{هة}}\n- VAR: \\rho -> \\text{\\takween{مـسـ}}\n- VAR: \\sigma -> \\text{\\takween{مـهـ}}\n- VAR: d -> \\text{\\takween{مـظـ}}\n- VAR: e -> \\text{\\takween{موك}}\n- VAR: m -> \\text{\\takween{ع}}\n- VAR: p -> \\text{\\takween{موس}}\n- VAR: \\zeta -> \\text{\\takween{مـس}}\n- VAR: \\delta -> \\text{\\takween{وي}}\n- VAR: u -> \\text{\\takween{عو}}\n- VAR: \\chi -> \\text{\\takween{مـئ}}\n- VAR: w -> \\text{\\takween{تيم}}\n- FUN: \\sigma -> \\text{\\diwani{سه}}\n- FUN: G -> \\text{\\diwani{كي}}\n- FUN: F -> \\text{\\diwani{موص}}\n- FUN: \\sigma -> \\text{\\diwani{سه}}\n- FUN: G -> \\text{\\diwani{كي}}\n- FUN: F -> \\text{\\diwani{موص}}\n\nConvert this:\n\\int_{\\rho}^{\\rho} \\prod_{v}^{+\\infty} \\left|\\sqrt[]{\\left\\{\\sigma\\left(782_{882}^{698}\\right) \\bullet 352 / \\cos\\left(\\psi_{534,v,\\tau}\\right)\\right)}\\right| \\, \\partial \\omega \\leq \\int \\left| \\prod_{44.77}^{+\\infty} \\left|G\\left(\\dddot{d}_{m,p,\\zeta}^{e}\\right)\\right] \\bullet \\int_{-\\infty}^{572} -F\\left(521_{u,\\chi,w,446}\\right) \\, \\partial \\delta \\, \\partial \\rho\\right|"
},
{
"role": "assistant",
"content": "\\left|\\text{\\takween{مـسـ}}{\\ad} \\text{\\takween{وي}}{\\ad}\\left(\\prescript{}{{446}،\\text{\\takween{تيم}}،\\text{\\takween{مـئ}}،\\text{\\takween{عو}}}{{521}}\\right)\\text{\\diwani{موص}}-\\arabint{\\infty -}{{572}} \\bullet \\left[\\left(\\prescript{\\text{\\takween{موك}}}{\\text{\\takween{مـس}}،\\text{\\takween{موس}}،\\text{\\takween{ع}}}{\\dddot{\\text{\\takween{مـظـ}}}}\\right)\\text{\\diwani{كي}}\\right|\\arabprod{{44.77}}{\\infty +}\\right|\\int \\leq \\text{\\takween{مـب}}{\\ad}\\left|\\arabsqrt{}{\\left(\\arabcos{\\prescript{}{\\text{\\takween{به}}،\\text{\\takween{ظو}}،{534}}{\\text{\\takween{مـص}}}} \\backslash {352} \\bullet \\left(\\prescript{{698}}{{882}}{{782}}\\right)\\text{\\diwani{سه}}\\right\\}}\\right|\\arabprod{\\text{\\takween{مـغـ}}}{\\infty +}\\arabint{\\text{\\takween{ف}}}{\\text{\\takween{هة}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 11370
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\chi -> \\text{\\takween{عو}}\n- VAR: \\omega -> \\text{\\takween{طو}}\n- VAR: \\nu -> \\text{\\takween{مـط}}\n- VAR: e -> \\text{\\takween{مـت}}\n- VAR: k -> \\text{\\takween{شه}}\n- VAR: a -> \\text{\\takween{موث}}\n- VAR: \\delta -> \\text{\\takween{فه}}\n- VAR: k -> \\text{\\takween{ثي}}\n- VAR: \\beta -> \\text{\\takween{مـح}}\n- VAR: m -> \\text{\\takween{ظي}}\n- VAR: \\gamma -> \\text{\\takween{شا}}\n- VAR: \\lambda -> \\text{\\takween{لم}}\n- VAR: j -> \\text{\\takween{هة}}\n- VAR: e -> \\text{\\takween{مـقـ}}\n- VAR: \\xi -> \\text{\\takween{فو}}\n- FUN: G -> \\text{\\diwani{طو}}\n- FUN: \\sigma -> \\text{\\diwani{مـسـ}}\n- FUN: Z -> \\text{\\diwani{ض}}\n- FUN: G -> \\text{\\diwani{حو}}\n\nConvert this:\n\\iint \\log_{k}\\left(G\\left(\\breve{\\omega}_{e,k,a}^{\\nu}\\right) \\tan\\left(\\check{\\delta}\\right)\\right) \\, \\partial \\chi + \\sqrt[]{\\left(\\sigma\\left(\\mathbf{29}_{835,31,915,\\beta}\\right)\\right)^{-Z\\left(m_{\\gamma}\\right) * G\\left(\\lambda_{j,e,\\xi}\\right)}}"
},
{
"role": "assistant",
"content": " \\arabsqrt{}{\\prescript{\\left(\\prescript{}{\\text{\\takween{فو}}،\\text{\\takween{مـقـ}}،\\text{\\takween{هة}}}{\\text{\\takween{لم}}}\\right)\\text{\\diwani{حو}} * \\left(\\prescript{}{\\text{\\takween{شا}}}{\\text{\\takween{ظي}}}\\right)\\text{\\diwani{ض}}-}{}{\\left(\\left(\\prescript{}{\\text{\\takween{مـح}}،{915}،{31}،{835}}{\\boldarabic{{29}}}\\right)\\text{\\diwani{مـسـ}}\\right)}} + \\text{\\takween{عو}}{\\ad}\\arablog{\\text{\\takween{ثي}}}{\\arabtan{\\check{\\text{\\takween{فه}}}} \\left(\\prescript{\\text{\\takween{مـط}}}{\\text{\\takween{موث}}،\\text{\\takween{شه}}،\\text{\\takween{مـت}}}{\\breve{\\text{\\takween{طو}}}}\\right)\\text{\\diwani{طو}}}\\iint"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 5668
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\frac{-4518}{6382} \\in \\mathbb{Q}"
},
{
"role": "assistant",
"content": "\\arabQ \\in \\frac{4518-}{6382}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 2400
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\epsilon -> \\text{\\takween{غ}}\n- VAR: k -> \\text{\\takween{سه}}\n- VAR: f -> \\text{\\takween{ك}}\n- VAR: x -> \\text{\\takween{دي}}\n- VAR: \\sigma -> \\text{\\takween{فا}}\n- VAR: f -> \\text{\\takween{بـ}}\n- VAR: \\lambda -> \\text{\\takween{ئا}}\n- VAR: h -> \\text{\\takween{م}}\n- VAR: w -> \\text{\\takween{زيم}}\n\nConvert this:\n\\begin{bmatrix} 293 & \\ddots & -\\epsilon & k \\\\ 599 & 652 & -f & -x \\\\ 453 & -\\sigma & 798.19 & -408.03 \\\\ -925 & -f & -642 & \\lambda \\\\ 694.51 & 397 & h & -w \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{\\takween{سه}} & \\text{\\takween{غ}}- & \\ddots & {293} \\\\ \\text{\\takween{دي}}- & \\text{\\takween{ك}}- & {652} & {599} \\\\ {408.03}- & {798.19} & \\text{\\takween{فا}}- & {453} \\\\ \\text{\\takween{ئا}} & {642}- & \\text{\\takween{بـ}}- & {925}- \\\\ \\text{\\takween{زيم}}- & \\text{\\takween{م}} & {397} & {694.51} \\end{bmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 2953
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: w -> \\text{\\takween{قة}}\n- VAR: \\beta -> \\text{\\takween{بم}}\n- VAR: u -> \\text{\\takween{مـخـ}}\n- FUN: \\tau -> \\text{\\diwani{لة}}\n\nConvert this:\nu^{\\left(3\\right)} \\left| 510, 792, w, \\beta \\right) = \\frac{\\partial^{3}u}{\\partial \\beta^{3}}\\left| 510, 792, w, \\beta \\right)=\\left(\\prod_{481}^{510} \\left\\|-\\csc\\left(\\mathbf{\\breve{890.19}}_{792,w}^{888}\\right) / \\breve{469}_{564}^{207}\\right\\}\\right)^{\\left[-\\sinh\\left(\\widehat{510}_{795,\\beta}^{510}\\right) \\tau\\left(479_{510,938}^{w}\\right)\\right)}"
},
{
"role": "assistant",
"content": "\\prescript{\\left(\\left(\\prescript{\\text{\\takween{قة}}}{{938}،{510}}{{479}}\\right)\\text{\\diwani{لة}} \\arabsinh{\\prescript{{510}}{\\text{\\takween{بم}}،{795}}{\\widehat{{510}}}}-\\right]}{}{\\left(\\left\\{\\prescript{{207}}{{564}}{\\breve{{469}}} \\backslash \\arabcsc{\\prescript{{888}}{\\text{\\takween{قة}}،{792}}{\\boldarabic{\\breve{{890.19}}}}}-\\right\\|\\arabprod{{481}}{{510}}\\right)}=\\left( \\text{\\takween{بم}} ،\\text{\\takween{قة}} ،{792} ،{510} \\right|\\frac{\\prescript{3}{}{\\text{\\takween{مـخـ}}}\\ad}{\\prescript{3}{}{\\text{\\takween{بم}}}\\ad} = \\left( \\text{\\takween{بم}} ،\\text{\\takween{قة}} ،{792} ،{510} \\right|\\prescript{\\left(3\\right)}{}{\\text{\\takween{مـخـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 5553
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: a -> \\text{\\takween{مـث}}\n- VAR: s -> \\text{\\takween{غـ}}\n- VAR: \\zeta -> \\text{\\takween{مه}}\n- VAR: \\mu -> \\text{\\takween{هه}}\n\nConvert this:\n\\mu \\in \\zeta = s \\ni a"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـث}} \\ni \\text{\\takween{غـ}} = \\text{\\takween{مه}} \\in \\text{\\takween{هه}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 8963
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} \\frac{825}{-2742} & \\frac{8541}{5190} & \\frac{8884}{-6675} \\end{bmatrix} \\in \\mathbb{Q}^3"
},
{
"role": "assistant",
"content": "\\prescript{3}{}{\\arabQ} \\in \\begin{bmatrix} \\frac{8884}{6675-} & \\frac{8541}{5190} & \\frac{825}{2742-} \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 5095
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: f -> \\text{\\takween{مـحـ}}\n- VAR: q -> \\text{\\takween{تو}}\n- VAR: o -> \\text{\\takween{ظ}}\n- FUN: \\phi -> \\text{\\diwani{يي}}\n- FUN: \\psi -> \\text{\\diwani{سه}}\n- FUN: \\chi -> \\text{\\diwani{س}}\n- FUN: \\tau -> \\text{\\diwani{مة}}\n\nConvert this:\no^{\\left(6\\right)} \\left\\| 121.99, f, q \\right\\rangle=\\left(\\psi\\left(\\sum_{121.99}^{f} \\left|\\log_{f}\\left(-\\phi\\left(\\widehat{q}_{q}\\right)\\right)\\right)\\right)\\right)^{\\lim_{q \\to +\\infty} \\left\\{\\log_{796}\\left(\\frac{-\\cosh\\left(f_{858,843,121.99,f}^{146}\\right) * \\chi\\left(282.98_{84,q,252}\\right)}{-\\tau\\left(432_{f,q,550,963}^{q}\\right)}\\right)\\right]}"
},
{
"role": "assistant",
"content": "\\prescript{\\left[\\arablog{{796}}{\\frac{\\left(\\prescript{}{{252}،\\text{\\takween{تو}}،{84}}{{282.98}}\\right)\\text{\\diwani{س}} * \\arabcosh{\\prescript{{146}}{\\text{\\takween{مـحـ}}،{121.99}،{843}،{858}}{\\text{\\takween{مـحـ}}}}-}{\\left(\\prescript{\\text{\\takween{تو}}}{{963}،{550}،\\text{\\takween{تو}}،\\text{\\takween{مـحـ}}}{{432}}\\right)\\text{\\diwani{مة}}-}}\\right\\}\\arablim{\\text{\\takween{تو}}}{\\infty +}}{}{\\left(\\left(\\left(\\arablog{\\text{\\takween{مـحـ}}}{\\left(\\prescript{}{\\text{\\takween{تو}}}{\\widehat{\\text{\\takween{تو}}}}\\right)\\text{\\diwani{يي}}-}\\right|\\arabsum{{121.99}}{\\text{\\takween{مـحـ}}}\\right)\\text{\\diwani{سه}}\\right)}=\\left\\langle \\text{\\takween{تو}} ،\\text{\\takween{مـحـ}} ،{121.99} \\right\\|\\prescript{\\left(6\\right)}{}{\\text{\\takween{ظ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 12893
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\zeta -> \\text{\\takween{ضو}}\n- VAR: l -> \\text{\\takween{ع}}\n- VAR: \\tau -> \\text{\\takween{سي}}\n\nConvert this:\n\\tau^{\\left(4\\right)} \\left\\{ \\zeta, l, 544.11 \\right\\rangle=\\underset{-\\infty}{\\overset{582.69}{\\prod}} \\left[\\left|-\\exp\\left(l_{578,827,544.11,790}\\right)\\right]\\right\\|"
},
{
"role": "assistant",
"content": "\\left\\|\\left[\\arabexp{\\prescript{}{{790}،{544.11}،{827}،{578}}{\\text{\\takween{ع}}}}-\\right|\\right]\\arabprod{\\infty -}{{582.69}}=\\left\\langle {544.11} ،\\text{\\takween{ع}} ،\\text{\\takween{ضو}} \\right\\}\\prescript{\\left(4\\right)}{}{\\text{\\takween{سي}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 12873
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\partial -> \\text{\\takween{فه}}\n- VAR: i -> \\text{\\takween{تيم}}\n- VAR: c -> \\text{\\takween{ثـ}}\n- VAR: m -> \\text{\\takween{ظـ}}\n- VAR: d -> \\text{\\takween{كي}}\n- VAR: \\zeta -> \\text{\\takween{تة}}\n- VAR: t -> \\text{\\takween{له}}\n- VAR: r -> \\text{\\takween{ضو}}\n- VAR: s -> \\text{\\takween{مـض}}\n- VAR: f -> \\text{\\takween{غـ}}\n- VAR: d -> \\text{\\takween{ليم}}\n- VAR: \\partial -> \\text{\\takween{فه}}\n- VAR: i -> \\text{\\takween{تيم}}\n- VAR: c -> \\text{\\takween{ثـ}}\n- VAR: m -> \\text{\\takween{ظـ}}\n- VAR: d -> \\text{\\takween{كي}}\n- VAR: \\zeta -> \\text{\\takween{تة}}\n- VAR: t -> \\text{\\takween{له}}\n- VAR: r -> \\text{\\takween{ضو}}\n- VAR: s -> \\text{\\takween{مـض}}\n- VAR: f -> \\text{\\takween{غـ}}\n- VAR: d -> \\text{\\takween{ليم}}\n- FUN: G -> \\text{\\diwani{مـهـ}}\n- FUN: \\chi -> \\text{\\diwani{مـل}}\n- FUN: H -> \\text{\\diwani{مـثـ}}\n- FUN: \\omega -> \\text{\\diwani{نو}}\n- FUN: G -> \\text{\\diwani{مـهـ}}\n- FUN: \\chi -> \\text{\\diwani{مـل}}\n- FUN: H -> \\text{\\diwani{مـثـ}}\n- FUN: \\omega -> \\text{\\diwani{نو}}\n\nConvert this:\n\\sqrt[m]{-G\\left(\\vec{645}_{i,c,925}^{\\partial}\\right)} > \\cot\\left(\\log_{378}\\left(\\chi\\left(196_{\\zeta}^{d}\\right)\\right) \\underset{172}{\\overset{r}{\\sum}} \\left[H\\left(\\dot{s}_{f,436}\\right) \\omega\\left(d_{763,972,984}\\right)\\right]\\right)"
},
{
"role": "assistant",
"content": "\\arabcot{ \\left[\\left(\\prescript{}{{984}،{972}،{763}}{\\text{\\takween{ليم}}}\\right)\\text{\\diwani{نو}} \\left(\\prescript{}{{436}،\\text{\\takween{غـ}}}{\\dot{\\text{\\takween{مـض}}}}\\right)\\text{\\diwani{مـثـ}}\\right]\\arabsum{{172}}{\\text{\\takween{ضو}}} \\arablog{{378}}{\\left(\\prescript{\\text{\\takween{كي}}}{\\text{\\takween{تة}}}{{196}}\\right)\\text{\\diwani{مـل}}}} > \\arabsqrt{\\text{\\takween{ظـ}}}{\\left(\\prescript{\\text{\\takween{فه}}}{{925}،\\text{\\takween{ثـ}}،\\text{\\takween{تيم}}}{\\arabvec{{645}}}\\right)\\text{\\diwani{مـهـ}}-}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 4621
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\lambda -> \\text{\\takween{طة}}\n- FUN: F -> \\text{\\diwani{مـبـ}}\n- FUN: \\psi -> \\text{\\diwani{طـ}}\n- FUN: \\tau -> \\text{\\diwani{هيم}}\n- FUN: \\omega -> \\text{\\diwani{ذ}}\n- FUN: \\phi -> \\text{\\diwani{ج}}\n\nConvert this:\n\\lambda^{\\left(2\\right)} \\left| 192 \\right\\rangle=\\begin{bmatrix} \\left[\\int \\left( \\cosh\\left(-F\\left(666_{192,192}\\right) - \\exp\\left(\\vec{\\mathbf{286.12}}_{270,998,709}\\right)\\right) - \\underset{78}{\\overset{+\\infty}{\\sum}} \\left\\{-\\underline{866.70}_{192,192,192} \\times \\arctan\\left(\\bar{155}_{192,423,192}^{285}\\right) \\psi\\left(\\breve{192}_{192}^{758}\\right)\\right) \\, \\partial 192\\right\\|\\right\\rangle\\\\\\left|\\left\\langle\\log_{192}\\left(\\exp\\left(192_{65}^{578}\\right) \\tau\\left(\\vec{\\mathbf{\\dddot{915}}}_{638,192}^{192}\\right)\\right)\\right]\\right]\\\\\\left(\\sqrt[727]{\\omega\\left(192_{192,192,868,439}\\right)}\\right)^{\\frac{\\arccos\\left(474.79_{763}^{790}\\right) \\exp\\left(\\vec{192}_{104}^{192}\\right) - \\tanh\\left(501_{953,753}\\right)}{\\phi\\left(192_{192,192,192,192}^{412}\\right)}} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left\\langle\\left\\|{192}{\\ad} \\left(\\left(\\prescript{{758}}{{192}}{\\breve{{192}}}\\right)\\text{\\diwani{طـ}} \\arabatan{\\prescript{{285}}{{192}،{423}،{192}}{\\bar{{155}}}} \\times \\prescript{}{{192}،{192}،{192}}{\\underline{{866.70}}}-\\right\\}\\arabsum{{78}}{\\infty +} - \\arabcosh{\\arabexp{\\prescript{}{{709}،{998}،{270}}{\\arabvec{\\boldarabic{{286.12}}}}} - \\left(\\prescript{}{{192}،{192}}{{666}}\\right)\\text{\\diwani{مـبـ}}-}\\right)\\int\\right]\\\\\\left[\\left[\\arablog{{192}}{\\left(\\prescript{{192}}{{192}،{638}}{\\arabvec{\\boldarabic{\\dddot{{915}}}}}\\right)\\text{\\diwani{هيم}} \\arabexp{\\prescript{{578}}{{65}}{{192}}}}\\right\\rangle\\right|\\\\\\prescript{\\frac{\\arabtanh{\\prescript{}{{753}،{953}}{{501}}} - \\arabexp{\\prescript{{192}}{{104}}{\\arabvec{{192}}}} \\arabacos{\\prescript{{790}}{{763}}{{474.79}}}}{\\left(\\prescript{{412}}{{192}،{192}،{192}،{192}}{{192}}\\right)\\text{\\diwani{ج}}}}{}{\\left(\\arabsqrt{{727}}{\\left(\\prescript{}{{439}،{868}،{192}،{192}}{{192}}\\right)\\text{\\diwani{ذ}}}\\right)} \\end{bmatrix}=\\left\\langle {192} \\right|\\prescript{\\left(2\\right)}{}{\\text{\\takween{طة}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 7867
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: a -> \\text{\\takween{له}}\n- VAR: \\partial -> \\text{\\takween{س}}\n- VAR: t -> \\text{\\takween{قا}}\n- VAR: f -> \\text{\\takween{ته}}\n- VAR: x -> \\text{\\takween{مـغ}}\n- VAR: \\epsilon -> \\text{\\takween{حو}}\n- VAR: m -> \\text{\\takween{ته}}\n- VAR: \\omega -> \\text{\\takween{مـظ}}\n- VAR: a -> \\text{\\takween{له}}\n- VAR: \\partial -> \\text{\\takween{س}}\n- VAR: t -> \\text{\\takween{قا}}\n- VAR: f -> \\text{\\takween{ته}}\n- VAR: x -> \\text{\\takween{مـغ}}\n- VAR: \\epsilon -> \\text{\\takween{حو}}\n- VAR: m -> \\text{\\takween{ته}}\n- VAR: \\omega -> \\text{\\takween{مـظ}}\n- FUN: Z -> \\text{\\diwani{جه}}\n- FUN: Z -> \\text{\\diwani{جه}}\n\nConvert this:\n\\left(\\sqrt[]{-Z\\left(679_{609}\\right)}\\right)^{\\left(-\\arccos\\left(\\check{a}_{437,59,\\partial}\\right)\\right)^{-\\coth\\left(t_{528,286,x}^{f}\\right)}} \\sim \\tanh\\left(\\epsilon_{\\omega,663}^{m}\\right)"
},
{
"role": "assistant",
"content": "\\arabtanh{\\prescript{\\text{\\takween{ته}}}{{663}،\\text{\\takween{مـظ}}}{\\text{\\takween{حو}}}} \\sim \\prescript{\\prescript{\\arabcoth{\\prescript{\\text{\\takween{ته}}}{\\text{\\takween{مـغ}}،{286}،{528}}{\\text{\\takween{قا}}}}-}{}{\\left(\\arabacos{\\prescript{}{\\text{\\takween{س}}،{59}،{437}}{\\check{\\text{\\takween{له}}}}}-\\right)}}{}{\\left(\\arabsqrt{}{\\left(\\prescript{}{{609}}{{679}}\\right)\\text{\\diwani{جه}}-}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 5289
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: z -> \\text{\\takween{عي}}\n- VAR: i -> \\text{\\takween{مـصـ}}\n- VAR: k -> \\text{\\takween{سي}}\n- VAR: \\nu -> \\text{\\takween{يا}}\n- VAR: z -> \\text{\\takween{غـ}}\n- VAR: \\eta -> \\text{\\takween{ضع}}\n- VAR: z -> \\text{\\takween{قه}}\n- VAR: s -> \\text{\\takween{مـلـ}}\n- VAR: \\epsilon -> \\text{\\takween{مـغ}}\n- VAR: f -> \\text{\\takween{س}}\n\nConvert this:\n\\begin{array}{crcclr} -z & -i & k & 714 & -\\nu & -977 \\\\ 23.74 & -z & 270 & \\eta & -573.92 & -z \\\\ 319.22 & s & 669.69 & \\epsilon & -106.67 & f \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{clccrl} {977}- & \\text{\\takween{يا}}- & {714} & \\text{\\takween{سي}} & \\text{\\takween{مـصـ}}- & \\text{\\takween{عي}}- \\\\ \\text{\\takween{قه}}- & {573.92}- & \\text{\\takween{ضع}} & {270} & \\text{\\takween{غـ}}- & {23.74} \\\\ \\text{\\takween{س}} & {106.67}- & \\text{\\takween{مـغ}} & {669.69} & \\text{\\takween{مـلـ}} & {319.22} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 5445
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: f -> \\text{\\takween{س}}\n- VAR: j -> \\text{\\takween{مـن}}\n- VAR: \\partial -> \\text{\\takween{مـقـ}}\n- VAR: \\tau -> \\text{\\takween{ه}}\n- VAR: \\epsilon -> \\text{\\takween{مـبـ}}\n- VAR: z -> \\text{\\takween{مـشـ}}\n- VAR: \\rho -> \\text{\\takween{شي}}\n- VAR: \\eta -> \\text{\\takween{ط}}\n- VAR: \\rho -> \\text{\\takween{غـ}}\n- VAR: h -> \\text{\\takween{ثة}}\n- VAR: n -> \\text{\\takween{مـل}}\n- VAR: u -> \\text{\\takween{موض}}\n- VAR: \\epsilon -> \\text{\\takween{ئو}}\n- VAR: \\lambda -> \\text{\\takween{مـخـ}}\n- VAR: \\kappa -> \\text{\\takween{ا}}\n- VAR: r -> \\text{\\takween{مـنـ}}\n- VAR: x -> \\text{\\takween{ية}}\n- VAR: \\alpha -> \\text{\\takween{غيم}}\n- VAR: \\rho -> \\text{\\takween{موع}}\n- FUN: \\tau -> \\text{\\diwani{مـخ}}\n- FUN: \\sigma -> \\text{\\diwani{لة}}\n- FUN: \\phi -> \\text{\\diwani{مـصـ}}\n\nConvert this:\n\\left(\\lim_{f \\to 174^+} \\left\\langle\\sqrt[]{\\vec{608}_{86,j}^{861} \\bullet \\tau\\left(211_{592}\\right) * \\tanh\\left(\\partial_{\\tau}\\right) + \\tan\\left(\\underline{\\epsilon}_{z,\\rho,549}\\right)}\\right)\\right)^{\\left(\\int_{-\\infty}^{+\\infty} \\left[ \\left\\|-\\sigma\\left(\\rho_{n,607}^{h}\\right) \\mathbf{\\dddot{u}}_{\\epsilon,18} \\vec{\\lambda}_{82,557,658}\\right\\rangle \\, \\partial \\eta\\right\\}\\right)^{\\underset{-\\infty}{\\overset{r}{\\prod}} \\left\\|\\arctan\\left(\\arctan\\left(\\vec{588}_{x,141}\\right) \\hat{\\alpha} \\bullet \\phi\\left(\\vec{\\acute{847}}^{\\rho}\\right)\\right)\\right]}}"
},
{
"role": "assistant",
"content": "\\prescript{\\prescript{\\left[\\arabatan{\\left(\\prescript{\\text{\\takween{موع}}}{}{\\arabvec{\\acute{{847}}}}\\right)\\text{\\diwani{مـصـ}} \\bullet \\hat{\\text{\\takween{غيم}}} \\arabatan{\\prescript{}{{141}،\\text{\\takween{ية}}}{\\arabvec{{588}}}}}\\right\\|\\arabprod{\\infty -}{\\text{\\takween{مـنـ}}}}{}{\\left(\\left\\{\\text{\\takween{ط}}{\\ad}\\left\\langle\\prescript{}{{658}،{557}،{82}}{\\arabvec{\\text{\\takween{مـخـ}}}} \\prescript{}{{18}،\\text{\\takween{ئو}}}{\\boldarabic{\\dddot{\\text{\\takween{موض}}}}} \\left(\\prescript{\\text{\\takween{ثة}}}{{607}،\\text{\\takween{مـل}}}{\\text{\\takween{غـ}}}\\right)\\text{\\diwani{لة}}-\\right\\|\\right]\\arabint{\\infty -}{\\infty +}\\right)}}{}{\\left(\\left(\\arabsqrt{}{ \\arabtan{\\prescript{}{{549}،\\text{\\takween{شي}}،\\text{\\takween{مـشـ}}}{\\underline{\\text{\\takween{مـبـ}}}}} + \\arabtanh{\\prescript{}{\\text{\\takween{ه}}}{\\text{\\takween{مـقـ}}}} * \\left(\\prescript{}{{592}}{{211}}\\right)\\text{\\diwani{مـخ}} \\bullet \\prescript{{861}}{\\text{\\takween{مـن}}،{86}}{\\arabvec{{608}}}}\\right\\rangle\\arablim{\\text{\\takween{س}}}{{}^{+}{174}}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 14155
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\phi -> \\text{\\takween{قه}}\n- VAR: t -> \\text{\\takween{بو}}\n- VAR: o -> \\text{\\takween{ق}}\n- VAR: \\partial -> \\text{\\takween{\\ad}}\n- VAR: b -> \\text{\\takween{هي}}\n- VAR: \\kappa -> \\text{\\takween{مـخ}}\n- VAR: \\iota -> \\text{\\takween{مـصـ}}\n- FUN: g -> \\text{\\diwani{ذ}}\n\nConvert this:\n\\underset{\\phi \\to +\\infty}{\\lim} \\left(\\int \\underset{o=-\\infty}{\\overset{+\\infty}{\\prod}} \\left(\\sec\\left(\\partial_{b,\\kappa,984,670}\\right) / g\\left(625_{\\iota}\\%\\right)\\right| \\, \\partial t\\right)"
},
{
"role": "assistant",
"content": "\\left(\\text{\\takween{بو}}{\\ad}\\left|\\left(٪\\prescript{}{\\text{\\takween{مـصـ}}}{{625}}\\right)\\text{\\diwani{ذ}} \\backslash \\arabsec{\\prescript{}{{670}،{984}،\\text{\\takween{مـخ}}،\\text{\\takween{هي}}}{\\text{\\takween{\\ad}}}}\\right)\\arabprod{\\infty -=\\text{\\takween{ق}}}{\\infty +}\\int\\right)\\arablim{\\text{\\takween{قه}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 13384
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\partial -> \\text{\\takween{موئ}}\n- VAR: w -> \\text{\\takween{خ}}\n- VAR: \\iota -> \\text{\\takween{\\ad}}\n- VAR: \\psi -> \\text{\\takween{غـ}}\n- VAR: e -> \\text{\\takween{ق}}\n\nConvert this:\n\\begin{array}{rrcc} -\\partial & w & 780 & -\\iota \\\\ 896 & & -\\psi & e \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{llcc} \\text{\\takween{\\ad}}- & {780} & \\text{\\takween{خ}} & \\text{\\takween{موئ}}- \\\\ \\text{\\takween{ق}} & \\text{\\takween{غـ}}- & & {896} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 11414
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: f -> \\text{\\takween{دي}}\n- VAR: u -> \\text{\\takween{موظ}}\n- VAR: \\beta -> \\text{\\takween{خـ}}\n- VAR: c -> \\text{\\takween{طه}}\n- VAR: \\nu -> \\text{\\takween{مـقـ}}\n- VAR: l -> \\text{\\takween{جة}}\n- VAR: \\beta -> \\text{\\takween{ظ}}\n- VAR: \\lambda -> \\text{\\takween{يو}}\n- VAR: r -> \\text{\\takween{خ}}\n- VAR: \\eta -> \\text{\\takween{شو}}\n- VAR: d -> \\text{\\takween{مـجـ}}\n- VAR: c -> \\text{\\takween{ئو}}\n- VAR: a -> \\text{\\takween{مـغـ}}\n- VAR: \\epsilon -> \\text{\\takween{مـع}}\n- VAR: e -> \\text{\\takween{جي}}\n- VAR: \\gamma -> \\text{\\takween{مـظـ}}\n- VAR: b -> \\text{\\takween{ذ}}\n- VAR: \\tau -> \\text{\\takween{مـخـ}}\n- VAR: n -> \\text{\\takween{حي}}\n- VAR: k -> \\text{\\takween{فو}}\n- VAR: o -> \\text{\\takween{ك}}\n- FUN: \\chi -> \\text{\\diwani{مـش}}\n- FUN: \\tau -> \\text{\\diwani{هـ}}\n- FUN: Z -> \\text{\\diwani{حة}}\n- FUN: f -> \\text{\\diwani{مـطـ}}\n\nConvert this:\n\\frac{\\underset{f \\to u^+}{\\lim} \\left\\|\\int \\left\\langle \\chi\\left(\\acute{776}_{31,707}\\right) / \\tau\\left(c_{753,\\nu,l,\\beta}\\right) + \\sec\\left(\\mathbf{173.88}_{829}\\right) \\cdot \\arccos\\left(927.73_{\\lambda,r}\\right) \\, \\partial \\beta\\right\\|\\right\\rangle}{\\int_{-\\infty}^{+\\infty} \\left\\| \\left(Z\\left(\\breve{153}_{c,664,474,a}^{d}\\right) \\cdot \\cos\\left(28.38_{181,e,\\gamma}^{\\epsilon}\\right)\\right)^{-\\coth\\left(\\dddot{164}_{b,\\tau,n}^{346}\\right) / f\\left(\\mathbf{912}_{782,o}^{k}\\right)} \\, \\partial \\eta\\right\\}}"
},
{
"role": "assistant",
"content": "\\frac{\\left\\langle\\left\\|\\text{\\takween{خـ}}{\\ad}\\arabacos{\\prescript{}{\\text{\\takween{خ}}،\\text{\\takween{يو}}}{{927.73}}} \\cdot \\arabsec{\\prescript{}{{829}}{\\boldarabic{{173.88}}}} + \\left(\\prescript{}{\\text{\\takween{ظ}}،\\text{\\takween{جة}}،\\text{\\takween{مـقـ}}،{753}}{\\text{\\takween{طه}}}\\right)\\text{\\diwani{هـ}} \\backslash \\left(\\prescript{}{{707}،{31}}{\\acute{{776}}}\\right)\\text{\\diwani{مـش}}\\right\\rangle\\int\\right\\|\\arablim{\\text{\\takween{دي}}}{{}^{+}\\text{\\takween{موظ}}}}{\\left\\{\\text{\\takween{شو}}{\\ad}\\prescript{\\left(\\prescript{\\text{\\takween{فو}}}{\\text{\\takween{ك}}،{782}}{\\boldarabic{{912}}}\\right)\\text{\\diwani{مـطـ}} \\backslash \\arabcoth{\\prescript{{346}}{\\text{\\takween{حي}}،\\text{\\takween{مـخـ}}،\\text{\\takween{ذ}}}{\\dddot{{164}}}}-}{}{\\left(\\arabcos{\\prescript{\\text{\\takween{مـع}}}{\\text{\\takween{مـظـ}}،\\text{\\takween{جي}}،{181}}{{28.38}}} \\cdot \\left(\\prescript{\\text{\\takween{مـجـ}}}{\\text{\\takween{مـغـ}}،{474}،{664}،\\text{\\takween{ئو}}}{\\breve{{153}}}\\right)\\text{\\diwani{حة}}\\right)}\\right\\|\\arabint{\\infty -}{\\infty +}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 5811
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\theta -> \\text{\\takween{ضو}}\n\nConvert this:\n\\log_{318}\\left(\\exp\\left(\\log_{61}\\left(-131^{41}\\% * \\ln\\left(\\ddot{5.44}_{478}^{74}\\right) \\tan\\left(\\ddot{\\theta}\\right)\\right)\\right)\\right)"
},
{
"role": "assistant",
"content": "\\arablog{{318}}{\\arabexp{\\arablog{{61}}{\\arabtan{\\ddot{\\text{\\takween{ضو}}}} \\arabnlog{\\prescript{{74}}{{478}}{\\ddot{{5.44}}}} * ٪\\prescript{{41}}{}{{131}}-}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 7469
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: e -> \\text{\\takween{لم}}\n- VAR: \\mu -> \\text{\\takween{سة}}\n- FUN: \\omega -> \\text{\\diwani{مـس}}\n\nConvert this:\n\\mu^{\\left(6\\right)} \\left( e, 708 \\right\\rangle = \\frac{\\partial^{6}\\mu}{\\partial e^{6}}\\left( e, 708 \\right\\rangle=\\sum_{458}^{e} \\left[\\frac{\\log_{708}\\left(-\\arcsin\\left(\\dot{708}_{e,e,708}\\right)\\right)}{344.96_{735,506}^{e} - \\omega\\left(\\vec{708}_{271}^{708}\\right) \\times \\coth\\left(\\ddddot{957}_{708,902,708}\\right) \\bullet \\arcsin\\left(\\mathbf{1.41}_{830,345}^{348.22}\\right) \\bullet \\tanh\\left(\\breve{708}_{392,708,28,e}\\right)} \\left\\{\\sum_{708=708}^{708} \\left(\\arccos\\left(e_{708,485,708}^{991}\\right) e_{708} \\csc\\left(\\mathbf{\\check{454}}_{e}^{238}\\right)\\right|\\right\\|\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{ \\left\\|\\left|\\arabcsc{\\prescript{{238}}{\\text{\\takween{لم}}}{\\boldarabic{\\check{{454}}}}} \\prescript{}{{708}}{\\text{\\takween{لم}}} \\arabacos{\\prescript{{991}}{{708}،{485}،{708}}{\\text{\\takween{لم}}}}\\right)\\arabsum{{708}={708}}{{708}}\\right\\} \\frac{\\arablog{{708}}{\\arabasin{\\prescript{}{{708}،\\text{\\takween{لم}}،\\text{\\takween{لم}}}{\\dot{{708}}}}-}}{ \\arabtanh{\\prescript{}{\\text{\\takween{لم}}،{28}،{708}،{392}}{\\breve{{708}}}} \\bullet \\arabasin{\\prescript{{348.22}}{{345}،{830}}{\\boldarabic{{1.41}}}} \\bullet \\arabcoth{\\prescript{}{{708}،{902}،{708}}{\\ddddot{{957}}}} \\times \\left(\\prescript{{708}}{{271}}{\\arabvec{{708}}}\\right)\\text{\\diwani{مـس}} - \\prescript{\\text{\\takween{لم}}}{{506}،{735}}{{344.96}}}\\right]\\arabsum{{458}}{\\text{\\takween{لم}}}=\\left\\langle {708} ،\\text{\\takween{لم}} \\right)\\frac{\\prescript{6}{}{\\text{\\takween{سة}}}\\ad}{\\prescript{6}{}{\\text{\\takween{لم}}}\\ad} = \\left\\langle {708} ،\\text{\\takween{لم}} \\right)\\prescript{\\left(6\\right)}{}{\\text{\\takween{سة}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 700
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\rho -> \\text{\\takween{شيم}}\n- VAR: y -> \\text{\\takween{ئه}}\n- VAR: l -> \\text{\\takween{خ}}\n- VAR: z -> \\text{\\takween{ضي}}\n- VAR: i -> \\text{\\takween{حا}}\n- VAR: t -> \\text{\\takween{سو}}\n- VAR: s -> \\text{\\takween{دي}}\n- VAR: \\phi -> \\text{\\takween{ي}}\n- VAR: i -> \\text{\\takween{موش}}\n- VAR: x -> \\text{\\takween{مـش}}\n- VAR: y -> \\text{\\takween{مـكـ}}\n- VAR: q -> \\text{\\takween{مـغـ}}\n- VAR: \\rho -> \\text{\\takween{شيم}}\n- VAR: y -> \\text{\\takween{ئه}}\n- VAR: l -> \\text{\\takween{خ}}\n- VAR: z -> \\text{\\takween{ضي}}\n- VAR: i -> \\text{\\takween{حا}}\n- VAR: t -> \\text{\\takween{سو}}\n- VAR: s -> \\text{\\takween{دي}}\n- VAR: \\phi -> \\text{\\takween{ي}}\n- VAR: i -> \\text{\\takween{موش}}\n- VAR: x -> \\text{\\takween{مـش}}\n- VAR: y -> \\text{\\takween{مـكـ}}\n- VAR: q -> \\text{\\takween{مـغـ}}\n\nConvert this:\n\\frac{\\int_{-\\infty}^{888.93} \\left( -\\tanh\\left(\\hat{76}_{y,457,841}\\right) \\, \\partial \\rho\\right|}{\\int_{i}^{152.69} -\\mathbf{903}_{z}^{147} \\, \\partial l} \\geq \\oiiint \\left\\{ \\underset{s \\to 749.60}{\\lim} \\left\\|\\sum_{\\phi=150}^{+\\infty} \\left[\\iint \\tanh\\left(665_{x,y,203,q}\\right) \\, \\partial i\\right\\}\\right) \\, \\partial t\\right)"
},
{
"role": "assistant",
"content": "\\left(\\text{\\takween{سو}}{\\ad}\\left(\\left\\{\\text{\\takween{موش}}{\\ad}\\arabtanh{\\prescript{}{\\text{\\takween{مـغـ}}،{203}،\\text{\\takween{مـكـ}}،\\text{\\takween{مـش}}}{{665}}}\\iint\\right]\\arabsum{{150}=\\text{\\takween{ي}}}{\\infty +}\\right\\|\\arablim{\\text{\\takween{دي}}}{{749.60}}\\right\\}\\oiiint \\geq \\frac{\\left|\\text{\\takween{شيم}}{\\ad}\\arabtanh{\\prescript{}{{841}،{457}،\\text{\\takween{ئه}}}{\\hat{{76}}}}-\\right)\\arabint{\\infty -}{{888.93}}}{\\text{\\takween{خ}}{\\ad}\\prescript{{147}}{\\text{\\takween{ضي}}}{\\boldarabic{{903}}}-\\arabint{\\text{\\takween{حا}}}{{152.69}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 13534
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\zeta -> \\text{\\takween{مـئ}}\n\nConvert this:\n\\overline{\\zeta}"
},
{
"role": "assistant",
"content": "\\overline{\\text{\\takween{مـئ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 12205
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\eta -> \\text{\\takween{مـضـ}}\n- VAR: u -> \\text{\\takween{با}}\n- VAR: f -> \\text{\\takween{غة}}\n- VAR: \\mu -> \\text{\\takween{ض}}\n- VAR: q -> \\text{\\takween{جة}}\n- VAR: f -> \\text{\\takween{مـئ}}\n- VAR: \\lambda -> \\text{\\takween{ريم}}\n- VAR: \\kappa -> \\text{\\takween{جم}}\n- VAR: \\eta -> \\text{\\takween{مـضـ}}\n- VAR: u -> \\text{\\takween{با}}\n- VAR: f -> \\text{\\takween{غة}}\n- VAR: \\mu -> \\text{\\takween{ض}}\n- VAR: q -> \\text{\\takween{جة}}\n- VAR: f -> \\text{\\takween{مـئ}}\n- VAR: \\lambda -> \\text{\\takween{ريم}}\n- VAR: \\kappa -> \\text{\\takween{جم}}\n- FUN: \\omega -> \\text{\\diwani{ئو}}\n- FUN: \\omega -> \\text{\\diwani{ئو}}\n\nConvert this:\n\\sqrt[u]{\\omega\\left(\\dddot{952}_{174,\\eta,205}\\right)} < \\lim_{f \\to \\mu} \\left\\langle-\\tan\\left(\\vec{q}_{\\lambda}^{f}\\%\\right) \\arcsin\\left(300.90^{\\kappa}\\right)\\right|"
},
{
"role": "assistant",
"content": "\\left|\\arabasin{\\prescript{\\text{\\takween{جم}}}{}{{300.90}}} \\arabtan{٪\\prescript{\\text{\\takween{مـئ}}}{\\text{\\takween{ريم}}}{\\arabvec{\\text{\\takween{جة}}}}}-\\right\\rangle\\arablim{\\text{\\takween{غة}}}{\\text{\\takween{ض}}} < \\arabsqrt{\\text{\\takween{با}}}{\\left(\\prescript{}{{205}،\\text{\\takween{مـضـ}}،{174}}{\\dddot{{952}}}\\right)\\text{\\diwani{ئو}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 1023
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\zeta -> \\text{\\takween{كو}}\n- VAR: \\kappa -> \\text{\\takween{ئي}}\n- VAR: \\mu -> \\text{\\takween{كم}}\n- VAR: v -> \\text{\\takween{غة}}\n- VAR: \\lambda -> \\text{\\takween{بو}}\n- VAR: \\omicron -> \\text{\\takween{ص}}\n- VAR: i -> \\text{\\takween{مـع}}\n- VAR: y -> \\text{\\takween{حي}}\n- VAR: s -> \\text{\\takween{ضأ}}\n- VAR: \\omicron -> \\text{\\takween{طه}}\n- VAR: g -> \\text{\\takween{ليم}}\n- VAR: \\xi -> \\text{\\takween{موع}}\n- VAR: t -> \\text{\\takween{غي}}\n- VAR: \\delta -> \\text{\\takween{مـت}}\n- VAR: k -> \\text{\\takween{مـجـ}}\n- VAR: \\partial -> \\text{\\takween{مـن}}\n\nConvert this:\n\\begin{vmatrix} 265 & \\ddots & -\\zeta & \\kappa & -\\mu & -427 \\\\ 276 & -120 & v & \\vdots & \\lambda & \\omicron \\\\ i & y & s & \\omicron & -981 & 494.08 \\\\ -985 & -262 & 884.88 & 782 & & 260 \\\\ g & \\xi & 836 & -t & 591 & \\delta \\\\ \\ddots & 531.38 & k & 938 & -\\partial & 584 \\end{vmatrix}"
},
{
"role": "assistant",
"content": "\\begin{vmatrix} {427}- & \\text{\\takween{كم}}- & \\text{\\takween{ئي}} & \\text{\\takween{كو}}- & \\ddots & {265} \\\\ \\text{\\takween{ص}} & \\text{\\takween{بو}} & \\vdots & \\text{\\takween{غة}} & {120}- & {276} \\\\ {494.08} & {981}- & \\text{\\takween{طه}} & \\text{\\takween{ضأ}} & \\text{\\takween{حي}} & \\text{\\takween{مـع}} \\\\ {260} & & {782} & {884.88} & {262}- & {985}- \\\\ \\text{\\takween{مـت}} & {591} & \\text{\\takween{غي}}- & {836} & \\text{\\takween{موع}} & \\text{\\takween{ليم}} \\\\ {584} & \\text{\\takween{مـن}}- & {938} & \\text{\\takween{مـجـ}} & {531.38} & \\ddots \\end{vmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 14444
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} \\frac{4471}{-8214} \\\\ \\frac{9529}{-7261} \\end{bmatrix} \\in \\mathbb{Q}^2"
},
{
"role": "assistant",
"content": "\\prescript{2}{}{\\arabQ} \\in \\begin{bmatrix} \\frac{4471}{8214-} \\\\ \\frac{9529}{7261-} \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 3027
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: h -> \\text{\\takween{مـب}}\n\nConvert this:\n\\begin{array}{ll} -849 & h \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{rr} \\text{\\takween{مـب}} & {849}- \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 8424
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n3220.380 -2869.852i \\in \\mathbb{C}"
},
{
"role": "assistant",
"content": "\\arabC \\in \\text{ت}2869.852- 3220.380"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 10726
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\partial -> \\text{\\takween{ما}}\n- VAR: d -> \\text{\\takween{ضيم}}\n- VAR: \\phi -> \\text{\\takween{مـخـ}}\n- VAR: \\alpha -> \\text{\\takween{تة}}\n- VAR: q -> \\text{\\takween{مـظـ}}\n- VAR: p -> \\text{\\takween{ني}}\n- VAR: h -> \\text{\\takween{لة}}\n- VAR: f -> \\text{\\takween{نو}}\n- VAR: \\gamma -> \\text{\\takween{قم}}\n- FUN: H -> \\text{\\diwani{له}}\n- FUN: G -> \\text{\\diwani{مي}}\n\nConvert this:\n\\frac{-H\\left(86_{\\partial,109,d}\\right)}{-\\tan\\left(\\ddot{\\phi}_{q}^{\\alpha}\\right) \\cdot G\\left(p_{306,202,f,\\gamma}^{h}\\right)}"
},
{
"role": "assistant",
"content": "\\frac{\\left(\\prescript{}{\\text{\\takween{ضيم}}،{109}،\\text{\\takween{ما}}}{{86}}\\right)\\text{\\diwani{له}}-}{\\left(\\prescript{\\text{\\takween{لة}}}{\\text{\\takween{قم}}،\\text{\\takween{نو}}،{202}،{306}}{\\text{\\takween{ني}}}\\right)\\text{\\diwani{مي}} \\cdot \\arabtan{\\prescript{\\text{\\takween{تة}}}{\\text{\\takween{مـظـ}}}{\\ddot{\\text{\\takween{مـخـ}}}}}-}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 11397
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\lambda -> \\text{\\takween{مـطـ}}\n- VAR: \\zeta -> \\text{\\takween{خة}}\n- VAR: \\kappa -> \\text{\\takween{كي}}\n- VAR: p -> \\text{\\takween{مـلـ}}\n- VAR: n -> \\text{\\takween{ظيم}}\n\nConvert this:\n\\kappa \\subseteq n = p \\notin \\kappa \\cup \\left(\\zeta \\ni \\lambda\\right)"
},
{
"role": "assistant",
"content": "\\left(\\text{\\takween{مـطـ}} \\ni \\text{\\takween{خة}}\\right) \\cup \\text{\\takween{كي}} \\notin \\text{\\takween{مـلـ}} = \\text{\\takween{ظيم}} \\subseteq \\text{\\takween{كي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 9185
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n2656 \\in \\mathbb{N}"
},
{
"role": "assistant",
"content": "\\arabN \\in 2656"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 13528
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} -818 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} {818}- \\end{bmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 4519
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: j -> \\text{\\takween{جي}}\n- VAR: \\psi -> \\text{\\takween{غ}}\n- VAR: a -> \\text{\\takween{ثـ}}\n- VAR: \\kappa -> \\text{\\takween{مـغ}}\n- VAR: s -> \\text{\\takween{مـج}}\n- VAR: t -> \\text{\\takween{مـظ}}\n- VAR: t -> \\text{\\takween{مـثـ}}\n- VAR: j -> \\text{\\takween{يم}}\n- VAR: j -> \\text{\\takween{جي}}\n- VAR: \\psi -> \\text{\\takween{غ}}\n- VAR: a -> \\text{\\takween{ثـ}}\n- VAR: \\kappa -> \\text{\\takween{مـغ}}\n- VAR: s -> \\text{\\takween{مـج}}\n- VAR: t -> \\text{\\takween{مـظ}}\n- VAR: t -> \\text{\\takween{مـثـ}}\n- VAR: j -> \\text{\\takween{يم}}\n- FUN: \\psi -> \\text{\\diwani{ظه}}\n- FUN: \\psi -> \\text{\\diwani{ظه}}\n\nConvert this:\n\\lim_{j \\to +\\infty} \\left[\\underset{\\psi \\to a^-}{\\lim} \\left\\{\\sum_{\\kappa=-\\infty}^{+\\infty} \\left|\\left(-\\tilde{915}_{s}^{256}\\right)\\right)\\right)\\right) \\ne -\\psi\\left(t_{11,339,t,j}\\right)"
},
{
"role": "assistant",
"content": "\\left(\\prescript{}{\\text{\\takween{يم}}،\\text{\\takween{مـثـ}}،{339}،{11}}{\\text{\\takween{مـظ}}}\\right)\\text{\\diwani{ظه}}- \\ne \\left(\\left(\\left(\\left(\\prescript{{256}}{\\text{\\takween{مـج}}}{\\tilde{{915}}}-\\right)\\right|\\arabsum{\\infty -=\\text{\\takween{مـغ}}}{\\infty +}\\right\\}\\arablim{\\text{\\takween{غ}}}{{}^{-}\\text{\\takween{ثـ}}}\\right]\\arablim{\\text{\\takween{جي}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 2263
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n6695"
},
{
"role": "assistant",
"content": "6695"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 668
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{هـ}}\n- VAR: \\gamma -> \\text{\\takween{صا}}\n- VAR: t -> \\text{\\takween{ش}}\n- VAR: h -> \\text{\\takween{مـثـ}}\n- VAR: \\delta -> \\text{\\takween{غا}}\n\nConvert this:\n\\begin{array}{cclllc} 815 & -935 & -k & 650 & \\vdots & -\\gamma \\\\ -922 & -913 & t & h & \\delta & \\ddots \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{ccrrrc} \\text{\\takween{صا}}- & \\vdots & {650} & \\text{\\takween{هـ}}- & {935}- & {815} \\\\ \\ddots & \\text{\\takween{غا}} & \\text{\\takween{مـثـ}} & \\text{\\takween{ش}} & {913}- & {922}- \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 4556
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: x -> \\text{\\takween{شه}}\n- VAR: q -> \\text{\\takween{يـ}}\n- VAR: x -> \\text{\\takween{شه}}\n- VAR: q -> \\text{\\takween{يـ}}\n- FUN: \\omega -> \\text{\\diwani{خيم}}\n- FUN: \\omega -> \\text{\\diwani{خيم}}\n\nConvert this:\n\\sqrt[228]{\\left(\\underset{x \\to 189}{\\lim} \\left[-\\omega\\left(13.82^{255}\\right)\\right|\\right)} \\leq \\cot\\left(q_{586}\\right)"
},
{
"role": "assistant",
"content": "\\arabcot{\\prescript{}{{586}}{\\text{\\takween{يـ}}}} \\leq \\arabsqrt{{228}}{\\left(\\left|\\left(\\prescript{{255}}{}{{13.82}}\\right)\\text{\\diwani{خيم}}-\\right]\\arablim{\\text{\\takween{شه}}}{{189}}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 1941
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\zeta -> \\text{\\takween{مـع}}\n- VAR: j -> \\text{\\takween{مو}}\n- VAR: h -> \\text{\\takween{ضيم}}\n- VAR: \\eta -> \\text{\\takween{مـئـ}}\n- VAR: \\lambda -> \\text{\\takween{موظ}}\n- VAR: i -> \\text{\\takween{ريم}}\n- VAR: i -> \\text{\\takween{ش}}\n\nConvert this:\n\\begin{vmatrix} & \\zeta & j & h & -263.21 \\\\ 934 & \\eta & \\ddots & 580 & \\lambda \\\\ i & 745 & -i & 624 & -918 \\end{vmatrix}"
},
{
"role": "assistant",
"content": "\\begin{vmatrix} {263.21}- & \\text{\\takween{ضيم}} & \\text{\\takween{مو}} & \\text{\\takween{مـع}} & \\\\ \\text{\\takween{موظ}} & {580} & \\ddots & \\text{\\takween{مـئـ}} & {934} \\\\ {918}- & {624} & \\text{\\takween{ش}}- & {745} & \\text{\\takween{ريم}} \\end{vmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 13603
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{مـكـ}}\n- VAR: f -> \\text{\\takween{ثي}}\n- VAR: \\gamma -> \\text{\\takween{تو}}\n- FUN: H -> \\text{\\diwani{نو}}\n\nConvert this:\n\\gamma^{\\left(5\\right)} \\left| k, f, 475 \\right|=\\begin{bmatrix} \\sinh\\left(\\mathbf{k}^{138.05}\\%\\right)\\\\-\\vec{\\dddot{k}}_{475} \\bullet H\\left(f_{909,911}^{982}\\right) \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\arabsinh{٪\\prescript{{138.05}}{}{\\boldarabic{\\text{\\takween{مـكـ}}}}}\\\\\\left(\\prescript{{982}}{{911}،{909}}{\\text{\\takween{ثي}}}\\right)\\text{\\diwani{نو}} \\bullet \\prescript{}{{475}}{\\arabvec{\\dddot{\\text{\\takween{مـكـ}}}}}- \\end{bmatrix}=\\left| {475} ،\\text{\\takween{ثي}} ،\\text{\\takween{مـكـ}} \\right|\\prescript{\\left(5\\right)}{}{\\text{\\takween{تو}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 9231
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\zeta -> \\text{\\takween{مـنـ}}\n- FUN: G -> \\text{\\diwani{فه}}\n- FUN: G -> \\text{\\diwani{قي}}\n\nConvert this:\n\\zeta^{\\left(4\\right)} \\left[ 374 \\right) = \\frac{\\partial^{4}\\zeta}{}\\left[ 374 \\right)=\\left\\langle\\sqrt[]{\\left(-\\sin\\left(199_{763,207}^{942}\\right) - G\\left(374_{374}^{476}\\right)\\right)^{-G\\left(457_{893,374,374,387}^{374}\\right) \\cdot \\arctan\\left(\\ddddot{374}_{20,374}\\right) \\cdot 177.18^{374}}}\\right)"
},
{
"role": "assistant",
"content": "\\left(\\arabsqrt{}{\\prescript{\\prescript{{374}}{}{{177.18}} \\cdot \\arabatan{\\prescript{}{{374}،{20}}{\\ddddot{{374}}}} \\cdot \\left(\\prescript{{374}}{{387}،{374}،{374}،{893}}{{457}}\\right)\\text{\\diwani{قي}}-}{}{\\left(\\left(\\prescript{{476}}{{374}}{{374}}\\right)\\text{\\diwani{فه}} - \\arabsin{\\prescript{{942}}{{207}،{763}}{{199}}}-\\right)}}\\right\\rangle=\\left( {374} \\right]\\frac{\\prescript{4}{}{\\text{\\takween{مـنـ}}}\\ad}{} = \\left( {374} \\right]\\prescript{\\left(4\\right)}{}{\\text{\\takween{مـنـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 8073
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: h -> \\text{\\takween{مـصـ}}\n- VAR: n -> \\text{\\takween{كم}}\n- VAR: \\rho -> \\text{\\takween{جم}}\n- VAR: b -> \\text{\\takween{له}}\n- VAR: q -> \\text{\\takween{س}}\n- VAR: k -> \\text{\\takween{خيم}}\n- VAR: \\psi -> \\text{\\takween{صة}}\n- VAR: a -> \\text{\\takween{مـغ}}\n- VAR: \\sigma -> \\text{\\takween{مـح}}\n- VAR: q -> \\text{\\takween{مـبـ}}\n- VAR: \\sigma -> \\text{\\takween{مـئـ}}\n- VAR: \\partial -> \\text{\\takween{كم}}\n- VAR: \\omega -> \\text{\\takween{ه}}\n- FUN: \\sigma -> \\text{\\diwani{هو}}\n- FUN: h -> \\text{\\diwani{نـ}}\n- FUN: H -> \\text{\\diwani{موغ}}\n\nConvert this:\n\\log_{a}\\left(\\left(\\underset{h=-\\infty}{\\overset{n}{\\prod}} \\left.\\ln\\left(\\mathbf{754}_{476,\\rho,b,q}\\right) \\bullet \\sigma\\left(937_{k,\\psi,770}\\right)\\right\\|\\right\\|\\right) \\times \\frac{h\\left(\\lim_{\\sigma \\to +\\infty} \\left\\{\\sin\\left(\\vec{\\mathbf{\\breve{q}}}_{310,548,\\sigma}\\right)\\right|\\right)}{H\\left(\\underset{\\partial \\to \\omega^-}{\\lim} \\left\\langle-\\tan\\left(\\underline{654.89}_{235}\\right)\\right]\\right)}"
},
{
"role": "assistant",
"content": " \\frac{\\left(\\left|\\arabsin{\\prescript{}{\\text{\\takween{مـئـ}}،{548}،{310}}{\\arabvec{\\boldarabic{\\breve{\\text{\\takween{مـبـ}}}}}}}\\right\\}\\arablim{\\text{\\takween{مـح}}}{\\infty +}\\right)\\text{\\diwani{نـ}}}{\\left(\\left[\\arabtan{\\prescript{}{{235}}{\\underline{{654.89}}}}-\\right\\rangle\\arablim{\\text{\\takween{كم}}}{{}^{-}\\text{\\takween{ه}}}\\right)\\text{\\diwani{موغ}}} \\times \\arablog{\\text{\\takween{مـغ}}}{\\left\\|\\left\\|\\left(\\prescript{}{{770}،\\text{\\takween{صة}}،\\text{\\takween{خيم}}}{{937}}\\right)\\text{\\diwani{هو}} \\bullet \\arabnlog{\\prescript{}{\\text{\\takween{س}}،\\text{\\takween{له}}،\\text{\\takween{جم}}،{476}}{\\boldarabic{{754}}}}\\right.\\arabprod{\\infty -=\\text{\\takween{مـصـ}}}{\\text{\\takween{كم}}}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 8330
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\kappa -> \\text{\\takween{مـصـ}}\n- VAR: r -> \\text{\\takween{عو}}\n- VAR: a -> \\text{\\takween{جا}}\n- VAR: \\kappa -> \\text{\\takween{ع}}\n- VAR: \\iota -> \\text{\\takween{موع}}\n- VAR: \\chi -> \\text{\\takween{مـفـ}}\n- VAR: p -> \\text{\\takween{مـتـ}}\n- VAR: o -> \\text{\\takween{نو}}\n- VAR: s -> \\text{\\takween{ث}}\n- VAR: \\epsilon -> \\text{\\takween{ث}}\n- VAR: b -> \\text{\\takween{مـص}}\n- VAR: \\sigma -> \\text{\\takween{ح}}\n- VAR: p -> \\text{\\takween{مـصـ}}\n- VAR: v -> \\text{\\takween{غو}}\n- VAR: \\rho -> \\text{\\takween{صي}}\n- VAR: k -> \\text{\\takween{مـت}}\n- VAR: \\delta -> \\text{\\takween{سا}}\n- VAR: \\lambda -> \\text{\\takween{ثو}}\n- VAR: i -> \\text{\\takween{زي}}\n- VAR: d -> \\text{\\takween{غ}}\n- VAR: z -> \\text{\\takween{نو}}\n- VAR: a -> \\text{\\takween{دي}}\n- VAR: h -> \\text{\\takween{ف}}\n- VAR: s -> \\text{\\takween{مـضـ}}\n- VAR: n -> \\text{\\takween{غ}}\n- VAR: t -> \\text{\\takween{ب}}\n- VAR: q -> \\text{\\takween{غ}}\n- VAR: y -> \\text{\\takween{دي}}\n- VAR: c -> \\text{\\takween{غة}}\n- VAR: \\psi -> \\text{\\takween{يم}}\n- VAR: w -> \\text{\\takween{مـهـ}}\n- VAR: \\chi -> \\text{\\takween{موس}}\n- VAR: \\phi -> \\text{\\takween{موض}}\n- VAR: a -> \\text{\\takween{ئه}}\n- VAR: \\rho -> \\text{\\takween{ئو}}\n- VAR: e -> \\text{\\takween{ثيم}}\n- VAR: a -> \\text{\\takween{صه}}\n- VAR: \\kappa -> \\text{\\takween{خو}}\n- VAR: n -> \\text{\\takween{ت}}\n- VAR: k -> \\text{\\takween{ح}}\n- VAR: i -> \\text{\\takween{مـصـ}}\n- VAR: t -> \\text{\\takween{ك}}\n- VAR: \\delta -> \\text{\\takween{ثـ}}\n- VAR: c -> \\text{\\takween{لم}}\n- VAR: n -> \\text{\\takween{حا}}\n- VAR: \\beta -> \\text{\\takween{غة}}\n- VAR: t -> \\text{\\takween{خ}}\n- VAR: g -> \\text{\\takween{ط}}\n- VAR: \\partial -> \\text{\\takween{صم}}\n- VAR: d -> \\text{\\takween{موص}}\n- VAR: \\chi -> \\text{\\takween{\\ad}}\n- VAR: \\kappa -> \\text{\\takween{مـصـ}}\n- VAR: r -> \\text{\\takween{عو}}\n- VAR: a -> \\text{\\takween{جا}}\n- VAR: \\kappa -> \\text{\\takween{ع}}\n- VAR: \\iota -> \\text{\\takween{موع}}\n- VAR: \\chi -> \\text{\\takween{مـفـ}}\n- VAR: p -> \\text{\\takween{مـتـ}}\n- VAR: o -> \\text{\\takween{نو}}\n- VAR: s -> \\text{\\takween{ث}}\n- VAR: \\epsilon -> \\text{\\takween{ث}}\n- VAR: b -> \\text{\\takween{مـص}}\n- VAR: \\sigma -> \\text{\\takween{ح}}\n- VAR: p -> \\text{\\takween{مـصـ}}\n- VAR: v -> \\text{\\takween{غو}}\n- VAR: \\rho -> \\text{\\takween{صي}}\n- VAR: k -> \\text{\\takween{مـت}}\n- VAR: \\delta -> \\text{\\takween{سا}}\n- VAR: \\lambda -> \\text{\\takween{ثو}}\n- VAR: i -> \\text{\\takween{زي}}\n- VAR: d -> \\text{\\takween{غ}}\n- VAR: z -> \\text{\\takween{نو}}\n- VAR: a -> \\text{\\takween{دي}}\n- VAR: h -> \\text{\\takween{ف}}\n- VAR: s -> \\text{\\takween{مـضـ}}\n- VAR: n -> \\text{\\takween{غ}}\n- VAR: t -> \\text{\\takween{ب}}\n- VAR: q -> \\text{\\takween{غ}}\n- VAR: y -> \\text{\\takween{دي}}\n- VAR: c -> \\text{\\takween{غة}}\n- VAR: \\psi -> \\text{\\takween{يم}}\n- VAR: w -> \\text{\\takween{مـهـ}}\n- VAR: \\chi -> \\text{\\takween{موس}}\n- VAR: \\phi -> \\text{\\takween{موض}}\n- VAR: a -> \\text{\\takween{ئه}}\n- VAR: \\rho -> \\text{\\takween{ئو}}\n- VAR: e -> \\text{\\takween{ثيم}}\n- VAR: a -> \\text{\\takween{صه}}\n- VAR: \\kappa -> \\text{\\takween{خو}}\n- VAR: n -> \\text{\\takween{ت}}\n- VAR: k -> \\text{\\takween{ح}}\n- VAR: i -> \\text{\\takween{مـصـ}}\n- VAR: t -> \\text{\\takween{ك}}\n- VAR: \\delta -> \\text{\\takween{ثـ}}\n- VAR: c -> \\text{\\takween{لم}}\n- VAR: n -> \\text{\\takween{حا}}\n- VAR: \\beta -> \\text{\\takween{غة}}\n- VAR: t -> \\text{\\takween{خ}}\n- VAR: g -> \\text{\\takween{ط}}\n- VAR: \\partial -> \\text{\\takween{صم}}\n- VAR: d -> \\text{\\takween{موص}}\n- VAR: \\chi -> \\text{\\takween{\\ad}}\n- FUN: f -> \\text{\\diwani{لي}}\n- FUN: Y -> \\text{\\diwani{مـكـ}}\n- FUN: Y -> \\text{\\diwani{تـ}}\n- FUN: \\psi -> \\text{\\diwani{خ}}\n- FUN: F -> \\text{\\diwani{با}}\n- FUN: G -> \\text{\\diwani{عا}}\n- FUN: \\phi -> \\text{\\diwani{كي}}\n- FUN: f -> \\text{\\diwani{لي}}\n- FUN: Y -> \\text{\\diwani{مـكـ}}\n- FUN: Y -> \\text{\\diwani{تـ}}\n- FUN: \\psi -> \\text{\\diwani{خ}}\n- FUN: F -> \\text{\\diwani{با}}\n- FUN: G -> \\text{\\diwani{عا}}\n- FUN: \\phi -> \\text{\\diwani{كي}}\n\nConvert this:\n\\underset{\\kappa=r}{\\overset{a}{\\prod}} \\left\\{\\left\\{\\underset{\\kappa \\to +\\infty}{\\lim} \\left[-f\\left(772_{\\iota}\\%\\right) / Y\\left(778_{107,\\chi,p,o}^{609}\\right) \\cdot \\vec{\\check{s}}_{815,b}^{\\epsilon}\\right)\\right] + \\left(-\\arctan\\left(\\bar{967}_{p,v,286,\\rho}^{\\sigma}\\right) + \\coth\\left(\\vec{10}_{269,363,510}^{k}\\right) Y\\left(\\widehat{\\delta}_{\\lambda,i,d,603}^{62}\\right)\\right)^{-\\arcsin\\left(z_{457,349}^{808}\\right) / \\cot\\left(\\mathbf{a}^{h}\\right) + \\coth\\left(s_{n,t}^{425}\\right) + \\tanh\\left(q_{944}^{y}\\right)} \\times \\prod_{c=336}^{+\\infty} \\left(-\\psi\\left(\\psi_{\\chi,\\phi,a}^{w}\\right) * \\sin\\left(\\vec{507.48}_{269,\\rho,592}\\right) - F\\left(e_{998,837,140}\\right) \\times \\arcsin\\left(\\acute{a}_{\\kappa}\\right)\\right)\\right\\} = \\frac{\\log_{i}\\left(G\\left(428_{67,n,k}\\right) \\arcsin\\left(214^{122}\\right) \\bullet \\sinh\\left(\\vec{\\dot{239.56}}^{258}\\right)\\right) 652.25_{t,357}^{111} * \\phi\\left(\\vec{\\delta}_{n,\\beta,432}^{c}\\right)}{\\underset{t=g}{\\overset{+\\infty}{\\prod}} \\left[\\int_{-\\infty}^{+\\infty} \\exp\\left(\\bar{616}_{474}\\right) / d_{739,133,\\chi,279} \\, \\partial \\partial\\right\\rangle}"
},
{
"role": "assistant",
"content": "\\frac{ \\left(\\prescript{\\text{\\takween{لم}}}{{432}،\\text{\\takween{غة}}،\\text{\\takween{حا}}}{\\arabvec{\\text{\\takween{ثـ}}}}\\right)\\text{\\diwani{كي}} * \\prescript{{111}}{{357}،\\text{\\takween{ك}}}{{652.25}} \\arablog{\\text{\\takween{مـصـ}}}{\\arabsinh{\\prescript{{258}}{}{\\arabvec{\\dot{{239.56}}}}} \\bullet \\arabasin{\\prescript{{122}}{}{{214}}} \\left(\\prescript{}{\\text{\\takween{ح}}،\\text{\\takween{ت}}،{67}}{{428}}\\right)\\text{\\diwani{عا}}}}{\\left\\langle\\text{\\takween{صم}}{\\ad}\\prescript{}{{279}،\\text{\\takween{\\ad}}،{133}،{739}}{\\text{\\takween{موص}}} \\backslash \\arabexp{\\prescript{}{{474}}{\\bar{{616}}}}\\arabint{\\infty -}{\\infty +}\\right]\\arabprod{\\text{\\takween{ط}}=\\text{\\takween{خ}}}{\\infty +}} = \\left\\{ \\left(\\arabasin{\\prescript{}{\\text{\\takween{خو}}}{\\acute{\\text{\\takween{صه}}}}} \\times \\left(\\prescript{}{{140}،{837}،{998}}{\\text{\\takween{ثيم}}}\\right)\\text{\\diwani{با}} - \\arabsin{\\prescript{}{{592}،\\text{\\takween{ئو}}،{269}}{\\arabvec{{507.48}}}} * \\left(\\prescript{\\text{\\takween{مـهـ}}}{\\text{\\takween{ئه}}،\\text{\\takween{موض}}،\\text{\\takween{موس}}}{\\text{\\takween{يم}}}\\right)\\text{\\diwani{خ}}-\\right)\\arabprod{{336}=\\text{\\takween{غة}}}{\\infty +} \\times \\prescript{\\arabtanh{\\prescript{\\text{\\takween{دي}}}{{944}}{\\text{\\takween{غ}}}} + \\arabcoth{\\prescript{{425}}{\\text{\\takween{ب}}،\\text{\\takween{غ}}}{\\text{\\takween{مـضـ}}}} + \\arabcot{\\prescript{\\text{\\takween{ف}}}{}{\\boldarabic{\\text{\\takween{دي}}}}} \\backslash \\arabasin{\\prescript{{808}}{{349}،{457}}{\\text{\\takween{نو}}}}-}{}{\\left(\\left(\\prescript{{62}}{{603}،\\text{\\takween{غ}}،\\text{\\takween{زي}}،\\text{\\takween{ثو}}}{\\widehat{\\text{\\takween{سا}}}}\\right)\\text{\\diwani{تـ}} \\arabcoth{\\prescript{\\text{\\takween{مـت}}}{{510}،{363}،{269}}{\\arabvec{{10}}}} + \\arabatan{\\prescript{\\text{\\takween{ح}}}{\\text{\\takween{صي}}،{286}،\\text{\\takween{غو}}،\\text{\\takween{مـصـ}}}{\\bar{{967}}}}-\\right)} + \\left[\\left(\\prescript{\\text{\\takween{ث}}}{\\text{\\takween{مـص}}،{815}}{\\arabvec{\\check{\\text{\\takween{ث}}}}} \\cdot \\left(\\prescript{{609}}{\\text{\\takween{نو}}،\\text{\\takween{مـتـ}}،\\text{\\takween{مـفـ}}،{107}}{{778}}\\right)\\text{\\diwani{مـكـ}} \\backslash \\left(٪\\prescript{}{\\text{\\takween{موع}}}{{772}}\\right)\\text{\\diwani{لي}}-\\right]\\arablim{\\text{\\takween{ع}}}{\\infty +}\\right\\}\\right\\}\\arabprod{\\text{\\takween{عو}}=\\text{\\takween{مـصـ}}}{\\text{\\takween{جا}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 12922
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} -6315 & -893 \\end{bmatrix} \\in \\mathbb{Z}^2"
},
{
"role": "assistant",
"content": "\\prescript{2}{}{\\arabZ} \\in \\begin{bmatrix} 893- & 6315- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 529
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: i -> \\text{\\takween{موغ}}\n- VAR: \\lambda -> \\text{\\takween{عة}}\n- VAR: \\kappa -> \\text{\\takween{جه}}\n- VAR: \\epsilon -> \\text{\\takween{قم}}\n- VAR: \\iota -> \\text{\\takween{خيم}}\n- VAR: \\nu -> \\text{\\takween{يه}}\n- VAR: \\psi -> \\text{\\takween{قو}}\n- VAR: e -> \\text{\\takween{\\ad}}\n- VAR: p -> \\text{\\takween{ط}}\n- VAR: y -> \\text{\\takween{مـنـ}}\n- VAR: \\chi -> \\text{\\takween{مـثـ}}\n- VAR: x -> \\text{\\takween{ر}}\n- VAR: \\epsilon -> \\text{\\takween{قو}}\n- VAR: w -> \\text{\\takween{ثه}}\n- VAR: \\lambda -> \\text{\\takween{عة}}\n- VAR: r -> \\text{\\takween{موط}}\n- VAR: \\lambda -> \\text{\\takween{حه}}\n- VAR: i -> \\text{\\takween{موغ}}\n- VAR: \\lambda -> \\text{\\takween{عة}}\n- VAR: \\kappa -> \\text{\\takween{جه}}\n- VAR: \\epsilon -> \\text{\\takween{قم}}\n- VAR: \\iota -> \\text{\\takween{خيم}}\n- VAR: \\nu -> \\text{\\takween{يه}}\n- VAR: \\psi -> \\text{\\takween{قو}}\n- VAR: e -> \\text{\\takween{\\ad}}\n- VAR: p -> \\text{\\takween{ط}}\n- VAR: y -> \\text{\\takween{مـنـ}}\n- VAR: \\chi -> \\text{\\takween{مـثـ}}\n- VAR: x -> \\text{\\takween{ر}}\n- VAR: \\epsilon -> \\text{\\takween{قو}}\n- VAR: w -> \\text{\\takween{ثه}}\n- VAR: \\lambda -> \\text{\\takween{عة}}\n- VAR: r -> \\text{\\takween{موط}}\n- VAR: \\lambda -> \\text{\\takween{حه}}\n- FUN: f -> \\text{\\diwani{يي}}\n- FUN: F -> \\text{\\diwani{سا}}\n- FUN: f -> \\text{\\diwani{يي}}\n- FUN: F -> \\text{\\diwani{سا}}\n\nConvert this:\n\\underset{i \\to \\lambda}{\\lim} \\left(\\lim_{\\kappa \\to 889^+} \\left(\\mathbf{\\epsilon}_{670,\\iota,394,195} \\cot\\left(\\ddddot{414}^{\\nu}\\right) f\\left(\\check{863}_{472,e}^{\\psi}\\right)\\right\\rangle\\right\\} \\approx \\prod_{p=-\\infty}^{+\\infty} \\left\\{\\prod_{413.23}^{+\\infty} \\left\\langle-\\arccos\\left(\\chi_{576,241,x,698}^{379}\\right) + F\\left(\\mathbf{\\ddddot{\\epsilon}}_{883,w,\\lambda}\\right) \\cosh\\left(288.33_{r,\\lambda}\\right)\\right\\rangle\\right\\rangle"
},
{
"role": "assistant",
"content": "\\left\\langle\\left\\langle\\arabcosh{\\prescript{}{\\text{\\takween{حه}}،\\text{\\takween{موط}}}{{288.33}}} \\left(\\prescript{}{\\text{\\takween{عة}}،\\text{\\takween{ثه}}،{883}}{\\boldarabic{\\ddddot{\\text{\\takween{قو}}}}}\\right)\\text{\\diwani{سا}} + \\arabacos{\\prescript{{379}}{{698}،\\text{\\takween{ر}}،{241}،{576}}{\\text{\\takween{مـثـ}}}}-\\right\\rangle\\arabprod{{413.23}}{\\infty +}\\right\\}\\arabprod{\\infty -=\\text{\\takween{ط}}}{\\infty +} \\approx \\left\\{\\left\\langle\\left(\\prescript{\\text{\\takween{قو}}}{\\text{\\takween{\\ad}}،{472}}{\\check{{863}}}\\right)\\text{\\diwani{يي}} \\arabcot{\\prescript{\\text{\\takween{يه}}}{}{\\ddddot{{414}}}} \\prescript{}{{195}،{394}،\\text{\\takween{خيم}}،{670}}{\\boldarabic{\\text{\\takween{قم}}}}\\right)\\arablim{\\text{\\takween{جه}}}{{}^{+}{889}}\\right)\\arablim{\\text{\\takween{موغ}}}{\\text{\\takween{عة}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 13026
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{Vmatrix} & 216 \\\\ 882 & \\cdots \\end{Vmatrix}"
},
{
"role": "assistant",
"content": "\\begin{Vmatrix} {216} & \\\\ \\cdots & {882} \\end{Vmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 10526
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: d -> \\text{\\takween{بة}}\n- VAR: \\mu -> \\text{\\takween{صو}}\n- VAR: k -> \\text{\\takween{ئي}}\n- FUN: \\psi -> \\text{\\diwani{سة}}\n- FUN: X -> \\text{\\diwani{خي}}\n- FUN: \\phi -> \\text{\\diwani{مـتـ}}\n- FUN: G -> \\text{\\diwani{ثا}}\n- FUN: G -> \\text{\\diwani{ظـ}}\n- FUN: \\omega -> \\text{\\diwani{حه}}\n\nConvert this:\nk''' \\left[ d, 402, \\mu, 550.17 \\right\\|=\\begin{bmatrix} \\int_{-\\infty}^{+\\infty} \\left(\\sqrt[]{\\frac{\\tanh\\left(\\ddddot{961}_{884,155,766}\\right)}{\\psi\\left(402_{d,365}\\right)}}\\right)^{\\left(\\sqrt[\\mu]{\\coth\\left(d_{402,888}\\right)}\\right)^{\\int_{-\\infty}^{d} X\\left(\\check{586}_{51,\\mu,884}\\right) \\, \\partial \\mu}} \\, \\partial 550.17\\\\\\left(\\underset{402=550.17}{\\overset{+\\infty}{\\sum}} \\left|\\frac{\\frac{\\phi\\left(402_{499,218,550.17}^{d}\\right) + G\\left(\\acute{324}_{303}^{402}\\right) \\widehat{230.93}_{754,821}}{-\\arctan\\left(d\\right) G\\left(\\vec{\\acute{848.56}}_{302,736}^{\\mu}\\right) \\times \\sin\\left(\\widehat{\\mu}_{\\mu}^{d}\\right)}}{\\underset{\\mu}{\\overset{+\\infty}{\\sum}} \\left\\|-\\vec{197}_{739,876,\\mu,635}^{489} \\tan\\left(\\vec{\\grave{550.17}}_{402}\\right)\\right\\}}\\right\\}\\right|\\\\\\left(\\omega\\left(\\arcsin\\left(\\mathbf{\\widetilde{550.17}}_{550.17,348,402,402}^{\\mu}\\right)\\right)\\right) \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} {550.17}{\\ad}\\prescript{\\prescript{\\text{\\takween{صو}}{\\ad}\\left(\\prescript{}{{884}،\\text{\\takween{صو}}،{51}}{\\check{{586}}}\\right)\\text{\\diwani{خي}}\\arabint{\\infty -}{\\text{\\takween{بة}}}}{}{\\left(\\arabsqrt{\\text{\\takween{صو}}}{\\arabcoth{\\prescript{}{{888}،{402}}{\\text{\\takween{بة}}}}}\\right)}}{}{\\left(\\arabsqrt{}{\\frac{\\arabtanh{\\prescript{}{{766}،{155}،{884}}{\\ddddot{{961}}}}}{\\left(\\prescript{}{{365}،\\text{\\takween{بة}}}{{402}}\\right)\\text{\\diwani{سة}}}}\\right)}\\arabint{\\infty -}{\\infty +}\\\\\\left|\\left\\{\\frac{\\frac{\\prescript{}{{821}،{754}}{\\widehat{{230.93}}} \\left(\\prescript{{402}}{{303}}{\\acute{{324}}}\\right)\\text{\\diwani{ثا}} + \\left(\\prescript{\\text{\\takween{بة}}}{{550.17}،{218}،{499}}{{402}}\\right)\\text{\\diwani{مـتـ}}}{\\arabsin{\\prescript{\\text{\\takween{بة}}}{\\text{\\takween{صو}}}{\\widehat{\\text{\\takween{صو}}}}} \\times \\left(\\prescript{\\text{\\takween{صو}}}{{736}،{302}}{\\arabvec{\\acute{{848.56}}}}\\right)\\text{\\diwani{ظـ}} \\arabatan{\\text{\\takween{بة}}}-}}{\\left\\{\\arabtan{\\prescript{}{{402}}{\\arabvec{\\grave{{550.17}}}}} \\prescript{{489}}{{635}،\\text{\\takween{صو}}،{876}،{739}}{\\arabvec{{197}}}-\\right\\|\\arabsum{\\text{\\takween{صو}}}{\\infty +}}\\right|\\arabsum{{550.17}={402}}{\\infty +}\\right)\\\\\\left(\\left(\\arabasin{\\prescript{\\text{\\takween{صو}}}{{402}،{402}،{348}،{550.17}}{\\boldarabic{\\widetilde{{550.17}}}}}\\right)\\text{\\diwani{حه}}\\right) \\end{bmatrix}=\\left\\| {550.17} ،\\text{\\takween{صو}} ،{402} ،\\text{\\takween{بة}} \\right]```\\!\\!\\text{\\takween{ئي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 9993
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: t -> \\text{\\takween{في}}\n- VAR: d -> \\text{\\takween{ذ}}\n- VAR: g -> \\text{\\takween{حا}}\n- VAR: n -> \\text{\\takween{مـصـ}}\n- VAR: \\mu -> \\text{\\takween{ثا}}\n- VAR: g -> \\text{\\takween{\\ad}}\n- VAR: \\theta -> \\text{\\takween{مـخ}}\n- VAR: o -> \\text{\\takween{ئه}}\n- VAR: t -> \\text{\\takween{في}}\n- VAR: d -> \\text{\\takween{ذ}}\n- VAR: g -> \\text{\\takween{حا}}\n- VAR: n -> \\text{\\takween{مـصـ}}\n- VAR: \\mu -> \\text{\\takween{ثا}}\n- VAR: g -> \\text{\\takween{\\ad}}\n- VAR: \\theta -> \\text{\\takween{مـخ}}\n- VAR: o -> \\text{\\takween{ئه}}\n- FUN: G -> \\text{\\diwani{ظة}}\n- FUN: h -> \\text{\\diwani{ظة}}\n- FUN: Y -> \\text{\\diwani{ظـ}}\n- FUN: Z -> \\text{\\diwani{غي}}\n- FUN: G -> \\text{\\diwani{كا}}\n- FUN: G -> \\text{\\diwani{ظة}}\n- FUN: h -> \\text{\\diwani{ظة}}\n- FUN: Y -> \\text{\\diwani{ظـ}}\n- FUN: Z -> \\text{\\diwani{غي}}\n- FUN: G -> \\text{\\diwani{كا}}\n\nConvert this:\n\\sqrt[]{\\frac{-G\\left(675.92_{725,t,174,449}\\right)}{-\\vec{806}_{g,n,243}^{d}}} \\ne \\left(\\left\\langle-h\\left(742.67_{\\mu,g}\\right)\\right]\\right)^{G\\left(Y\\left(\\dot{371}^{\\theta}\\right) Z\\left(\\grave{586}_{686,584,89,o}\\right)\\right)}"
},
{
"role": "assistant",
"content": "\\prescript{\\left(\\left(\\prescript{}{\\text{\\takween{ئه}}،{89}،{584}،{686}}{\\grave{{586}}}\\right)\\text{\\diwani{غي}} \\left(\\prescript{\\text{\\takween{مـخ}}}{}{\\dot{{371}}}\\right)\\text{\\diwani{ظـ}}\\right)\\text{\\diwani{كا}}}{}{\\left(\\left[\\left(\\prescript{}{\\text{\\takween{\\ad}}،\\text{\\takween{ثا}}}{{742.67}}\\right)\\text{\\diwani{ظة}}-\\right\\rangle\\right)} \\ne \\arabsqrt{}{\\frac{\\left(\\prescript{}{{449}،{174}،\\text{\\takween{في}}،{725}}{{675.92}}\\right)\\text{\\diwani{ظة}}-}{\\prescript{\\text{\\takween{ذ}}}{{243}،\\text{\\takween{مـصـ}}،\\text{\\takween{حا}}}{\\arabvec{{806}}}-}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 265
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: e -> \\text{\\takween{ض}}\n- VAR: k -> \\text{\\takween{ئه}}\n- VAR: m -> \\text{\\takween{ديم}}\n- VAR: \\kappa -> \\text{\\takween{موئ}}\n- VAR: c -> \\text{\\takween{قو}}\n- VAR: \\partial -> \\text{\\takween{غه}}\n- VAR: \\iota -> \\text{\\takween{مـصـ}}\n- VAR: \\gamma -> \\text{\\takween{ض}}\n- VAR: b -> \\text{\\takween{مـعـ}}\n- VAR: \\rho -> \\text{\\takween{ا}}\n\nConvert this:\n\\left[\\rho \\subset b\\right\\} \\setminus \\left[\\gamma \\ni \\iota \\setminus \\partial \\supseteq c\\right\\} = \\kappa \\not\\ni m \\setminus k \\ni e"
},
{
"role": "assistant",
"content": "\\text{\\takween{ض}} \\ni \\text{\\takween{ئه}} \\setminus \\text{\\takween{ديم}} \\not\\ni \\text{\\takween{موئ}} = \\left\\{\\text{\\takween{قو}} \\supseteq \\text{\\takween{غه}} \\setminus \\text{\\takween{مـصـ}} \\ni \\text{\\takween{ض}}\\right] \\setminus \\left\\{\\text{\\takween{مـعـ}} \\subset \\text{\\takween{ا}}\\right]"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 9235
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: j -> \\text{\\takween{هيم}}\n- VAR: b -> \\text{\\takween{شيم}}\n- VAR: v -> \\text{\\takween{ئـ}}\n- VAR: \\eta -> \\text{\\takween{شة}}\n\nConvert this:\n\\eta \\supset v = b \\nsubseteq j"
},
{
"role": "assistant",
"content": "\\text{\\takween{هيم}} \\nsubseteq \\text{\\takween{شيم}} = \\text{\\takween{ئـ}} \\supset \\text{\\takween{شة}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 13179
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{ن}}\n- VAR: n -> \\text{\\takween{ق}}\n- VAR: \\mu -> \\text{\\takween{فم}}\n- VAR: m -> \\text{\\takween{مـسـ}}\n- FUN: H -> \\text{\\diwani{زيم}}\n- FUN: H -> \\text{\\diwani{موك}}\n- FUN: H -> \\text{\\diwani{كه}}\n- FUN: f -> \\text{\\diwani{صو}}\n- FUN: G -> \\text{\\diwani{كا}}\n- FUN: \\psi -> \\text{\\diwani{يه}}\n- FUN: F -> \\text{\\diwani{عة}}\n\nConvert this:\nm' \\left\\{ k, n, \\mu \\right\\rangle = \\frac{\\partial m}{\\partial \\mu}\\left\\{ k, n, \\mu \\right\\rangle=\\left\\{ \\begin{array}{l} \\oiiint \\arcsin\\left(\\ddddot{k}^{\\mu}\\right) \\, \\partial \\mu\\\\\\frac{\\int_{532}^{+\\infty} \\left\\| -H\\left(\\vec{\\mathbf{\\grave{994}}}_{n,526}^{\\mu}\\right) \\, \\partial n\\right\\} / H\\left(\\vec{951}_{985,k}\\right) * -\\csc\\left(931.41_{k,n,911}^{\\mu}\\right)}{\\underset{k}{\\overset{+\\infty}{\\prod}} \\left\\{\\left(H\\left(n_{581,k,\\mu,\\mu}\\right)\\right)^{f\\left(311_{682,968,n}\\right)}\\right\\}}\\\\\\sum_{n}^{+\\infty} \\left|-G\\left(\\mathbf{n}\\right)\\right]\\\\\\arctan\\left(\\tilde{253}_{782,850}\\right)\\\\\\psi\\left(\\vec{\\grave{605.75}}_{931,876}^{474}\\right) / F\\left(\\acute{k}_{k}^{626}\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\text{\\takween{فم}}{\\ad}\\arabasin{\\prescript{\\text{\\takween{فم}}}{}{\\ddddot{\\text{\\takween{ن}}}}}\\oiiint\\\\\\frac{ \\arabcsc{\\prescript{\\text{\\takween{فم}}}{{911}،\\text{\\takween{ق}}،\\text{\\takween{ن}}}{{931.41}}}- * \\left(\\prescript{}{\\text{\\takween{ن}}،{985}}{\\arabvec{{951}}}\\right)\\text{\\diwani{موك}} / \\left\\{\\text{\\takween{ق}}{\\ad}\\left(\\prescript{\\text{\\takween{فم}}}{{526}،\\text{\\takween{ق}}}{\\arabvec{\\boldarabic{\\grave{{994}}}}}\\right)\\text{\\diwani{زيم}}-\\right\\|\\arabint{{532}}{\\infty +}}{\\left\\{\\prescript{\\left(\\prescript{}{\\text{\\takween{ق}}،{968}،{682}}{{311}}\\right)\\text{\\diwani{صو}}}{}{\\left(\\left(\\prescript{}{\\text{\\takween{فم}}،\\text{\\takween{فم}}،\\text{\\takween{ن}}،{581}}{\\text{\\takween{ق}}}\\right)\\text{\\diwani{كه}}\\right)}\\right\\}\\arabprod{\\text{\\takween{ن}}}{\\infty +}}\\\\\\left[\\left(\\boldarabic{\\text{\\takween{ق}}}\\right)\\text{\\diwani{كا}}-\\right|\\arabsum{\\text{\\takween{ق}}}{\\infty +}\\\\\\arabatan{\\prescript{}{{850}،{782}}{\\tilde{{253}}}}\\\\\\left(\\prescript{{626}}{\\text{\\takween{ن}}}{\\acute{\\text{\\takween{ن}}}}\\right)\\text{\\diwani{عة}} \\backslash \\left(\\prescript{{474}}{{876}،{931}}{\\arabvec{\\grave{{605.75}}}}\\right)\\text{\\diwani{يه}} \\end{array} \\right\\}=\\left\\langle \\text{\\takween{فم}} ،\\text{\\takween{ق}} ،\\text{\\takween{ن}} \\right\\}\\frac{\\text{\\takween{مـسـ}}\\ad}{\\text{\\takween{فم}}\\ad} = \\left\\langle \\text{\\takween{فم}} ،\\text{\\takween{ق}} ،\\text{\\takween{ن}} \\right\\}`\\!\\!\\text{\\takween{مـسـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 11111
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{نـ}}\n\nConvert this:\n\\begin{align*} 505 &<& 910 \\\\ -k &<& \\cdots \\\\ 789 &<& 91 \\end{align*}"
},
{
"role": "assistant",
"content": "\\begin{align*} {910} & {505} \\\\ \\cdots & \\text{\\takween{نـ}}- \\\\ {91} & {789} \\end{align*}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 12428
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\rho -> \\text{\\takween{يه}}\n- VAR: \\kappa -> \\text{\\takween{نة}}\n- VAR: \\iota -> \\text{\\takween{ص}}\n- VAR: \\rho -> \\text{\\takween{ظـ}}\n- VAR: g -> \\text{\\takween{ليم}}\n- VAR: l -> \\text{\\takween{هو}}\n- VAR: \\delta -> \\text{\\takween{تـ}}\n- VAR: w -> \\text{\\takween{شي}}\n- VAR: \\rho -> \\text{\\takween{يه}}\n- VAR: \\kappa -> \\text{\\takween{نة}}\n- VAR: \\iota -> \\text{\\takween{ص}}\n- VAR: \\rho -> \\text{\\takween{ظـ}}\n- VAR: g -> \\text{\\takween{ليم}}\n- VAR: l -> \\text{\\takween{هو}}\n- VAR: \\delta -> \\text{\\takween{تـ}}\n- VAR: w -> \\text{\\takween{شي}}\n- FUN: \\chi -> \\text{\\diwani{له}}\n- FUN: G -> \\text{\\diwani{لة}}\n- FUN: Y -> \\text{\\diwani{صم}}\n- FUN: \\chi -> \\text{\\diwani{له}}\n- FUN: G -> \\text{\\diwani{لة}}\n- FUN: Y -> \\text{\\diwani{صم}}\n\nConvert this:\n\\log_{\\rho}\\left(\\sqrt[576.65]{\\sqrt[\\iota]{\\chi\\left(\\vec{\\rho}^{220.83}\\right) \\times \\vec{350}_{972,316,\\kappa,12}}}\\right) \\geq G\\left(744_{676,713,g}^{355.36}\\right) \\arcsin\\left(\\vec{\\hat{l}}_{167,\\delta,197,858}^{833}\\right) * \\vec{\\bar{459}} \\bullet Y\\left(21_{w,767}^{107}\\right)"
},
{
"role": "assistant",
"content": "\\left(\\prescript{{107}}{{767}،\\text{\\takween{شي}}}{{21}}\\right)\\text{\\diwani{صم}} \\bullet \\arabvec{\\bar{{459}}} * \\arabasin{\\prescript{{833}}{{858}،{197}،\\text{\\takween{تـ}}،{167}}{\\arabvec{\\hat{\\text{\\takween{هو}}}}}} \\left(\\prescript{{355.36}}{\\text{\\takween{ليم}}،{713}،{676}}{{744}}\\right)\\text{\\diwani{لة}} \\geq \\arablog{\\text{\\takween{ظـ}}}{\\arabsqrt{{576.65}}{\\arabsqrt{\\text{\\takween{ص}}}{\\prescript{}{{12}،\\text{\\takween{نة}}،{316}،{972}}{\\arabvec{{350}}} \\times \\left(\\prescript{{220.83}}{}{\\arabvec{\\text{\\takween{يه}}}}\\right)\\text{\\diwani{له}}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 3798
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: g -> \\text{\\takween{سي}}\n- VAR: \\kappa -> \\text{\\takween{ية}}\n- VAR: q -> \\text{\\takween{مـضـ}}\n- VAR: \\tau -> \\text{\\takween{س}}\n- VAR: \\omicron -> \\text{\\takween{هو}}\n- VAR: \\epsilon -> \\text{\\takween{مـسـ}}\n- VAR: \\beta -> \\text{\\takween{شا}}\n- VAR: \\iota -> \\text{\\takween{سو}}\n- VAR: \\eta -> \\text{\\takween{زي}}\n- VAR: \\psi -> \\text{\\takween{مـصـ}}\n- VAR: k -> \\text{\\takween{مـض}}\n\nConvert this:\n\\left\\{k \\ni \\tau\\right] \\setminus \\omicron \\ni \\epsilon \\setminus \\psi \\not\\ni \\tau \\triangle \\left\\langle\\kappa \\supsetneq \\eta \\triangle \\left[\\iota \\supset \\beta\\right\\| \\setminus \\left\\|\\epsilon \\not\\ni \\omicron\\right\\rangle \\setminus \\tau \\in q\\right] = \\kappa \\subseteq g"
},
{
"role": "assistant",
"content": "\\text{\\takween{سي}} \\subseteq \\text{\\takween{ية}} = \\left[\\text{\\takween{مـضـ}} \\in \\text{\\takween{س}} \\setminus \\left\\langle\\text{\\takween{هو}} \\not\\ni \\text{\\takween{مـسـ}}\\right\\| \\setminus \\left\\|\\text{\\takween{شا}} \\supset \\text{\\takween{سو}}\\right] \\triangle \\text{\\takween{زي}} \\supsetneq \\text{\\takween{ية}}\\right\\rangle \\triangle \\text{\\takween{س}} \\not\\ni \\text{\\takween{مـصـ}} \\setminus \\text{\\takween{مـسـ}} \\ni \\text{\\takween{هو}} \\setminus \\left[\\text{\\takween{س}} \\ni \\text{\\takween{مـض}}\\right\\}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 9675
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} \\frac{-7286}{-7559} & \\frac{-5181}{2896} & \\frac{5883}{1813} & \\frac{3771}{2013} & \\frac{-8902}{6807} \\\\ \\frac{9158}{-9899} & \\frac{-746}{9802} & \\frac{8123}{389} & \\frac{4508}{4030} & \\frac{1543}{-8686} \\\\ \\frac{-3383}{7530} & \\frac{-609}{-229} & \\frac{-8157}{2741} & \\frac{2144}{-2967} & \\frac{5027}{-4011} \\\\ \\frac{4190}{5504} & \\frac{2937}{7141} & \\frac{-1968}{-6197} & \\frac{-9237}{-4965} & \\frac{4107}{-7831} \\\\ \\frac{-395}{9466} & \\frac{3605}{8860} & \\frac{-7817}{2559} & \\frac{-5826}{1503} & \\frac{8892}{-2814} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\frac{8902-}{6807} & \\frac{3771}{2013} & \\frac{5883}{1813} & \\frac{5181-}{2896} & \\frac{7286-}{7559-} \\\\ \\frac{1543}{8686-} & \\frac{4508}{4030} & \\frac{8123}{389} & \\frac{746-}{9802} & \\frac{9158}{9899-} \\\\ \\frac{5027}{4011-} & \\frac{2144}{2967-} & \\frac{8157-}{2741} & \\frac{609-}{229-} & \\frac{3383-}{7530} \\\\ \\frac{4107}{7831-} & \\frac{9237-}{4965-} & \\frac{1968-}{6197-} & \\frac{2937}{7141} & \\frac{4190}{5504} \\\\ \\frac{8892}{2814-} & \\frac{5826-}{1503} & \\frac{7817-}{2559} & \\frac{3605}{8860} & \\frac{395-}{9466} \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 14715
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: t -> \\text{\\takween{ظي}}\n- VAR: \\psi -> \\text{\\takween{تـ}}\n- VAR: j -> \\text{\\takween{مـهـ}}\n- VAR: x -> \\text{\\takween{مـغـ}}\n- VAR: \\rho -> \\text{\\takween{زيم}}\n- VAR: l -> \\text{\\takween{خي}}\n\nConvert this:\nl \\in \\rho \\cap \\rho \\ni x \\cup t \\notin j = \\psi \\notin t"
},
{
"role": "assistant",
"content": "\\text{\\takween{ظي}} \\notin \\text{\\takween{تـ}} = \\text{\\takween{مـهـ}} \\notin \\text{\\takween{ظي}} \\cup \\text{\\takween{مـغـ}} \\ni \\text{\\takween{زيم}} \\cap \\text{\\takween{زيم}} \\in \\text{\\takween{خي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 14068
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\sigma -> \\text{\\takween{لة}}\n- VAR: \\sigma -> \\text{\\takween{هو}}\n- VAR: k -> \\text{\\takween{عو}}\n- VAR: t -> \\text{\\takween{ثو}}\n- VAR: \\delta -> \\text{\\takween{موك}}\n\nConvert this:\n\\begin{pmatrix} 177 & \\sigma & \\sigma \\\\ k & t & -\\delta \\end{pmatrix}"
},
{
"role": "assistant",
"content": "\\begin{pmatrix} \\text{\\takween{هو}} & \\text{\\takween{لة}} & {177} \\\\ \\text{\\takween{موك}}- & \\text{\\takween{ثو}} & \\text{\\takween{عو}} \\end{pmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 9564
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: v -> \\text{\\takween{جم}}\n- FUN: Z -> \\text{\\diwani{مـض}}\n- FUN: X -> \\text{\\diwani{مـ}}\n- FUN: \\tau -> \\text{\\diwani{مـب}}\n- FUN: F -> \\text{\\diwani{موش}}\n\nConvert this:\nv' \\left\\| 691 \\right]=\\left\\{ \\begin{array}{l} \\prod_{-\\infty}^{806} \\left(-Z\\left(\\underline{691}^{691}\\right)\\right)\\\\X\\left(\\widetilde{878}^{842}\\right) \\bullet \\sin\\left(691^{691}\\right) \\times \\tau\\left(\\vec{\\hat{992.25}}_{691,938,691,691}\\right)\\\\-F\\left(691_{89}\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left(\\left(\\prescript{{691}}{}{\\underline{{691}}}\\right)\\text{\\diwani{مـض}}-\\right)\\arabprod{\\infty -}{{806}}\\\\\\left(\\prescript{}{{691}،{691}،{938}،{691}}{\\arabvec{\\hat{{992.25}}}}\\right)\\text{\\diwani{مـب}} \\times \\arabsin{\\prescript{{691}}{}{{691}}} \\bullet \\left(\\prescript{{842}}{}{\\widetilde{{878}}}\\right)\\text{\\diwani{مـ}}\\\\\\left(\\prescript{}{{89}}{{691}}\\right)\\text{\\diwani{موش}}- \\end{array} \\right\\}=\\left[ {691} \\right\\|`\\!\\!\\text{\\takween{جم}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 11800
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\delta -> \\text{\\takween{بـ}}\n- VAR: \\kappa -> \\text{\\takween{مـكـ}}\n- VAR: m -> \\text{\\takween{شـ}}\n- VAR: d -> \\text{\\takween{با}}\n- VAR: x -> \\text{\\takween{ف}}\n- VAR: s -> \\text{\\takween{مـث}}\n- VAR: i -> \\text{\\takween{كم}}\n- FUN: h -> \\text{\\diwani{مـشـ}}\n\nConvert this:\n\\begin{array}{rccll} 897 & -993 & -\\delta & -\\kappa & -h\\left(\\underline{m}_{x,433}^{d}\\right) \\\\ 619 & -612 & & -s & i \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{lccrr} \\left(\\prescript{\\text{\\takween{با}}}{{433}،\\text{\\takween{ف}}}{\\underline{\\text{\\takween{شـ}}}}\\right)\\text{\\diwani{مـشـ}}- & \\text{\\takween{مـكـ}}- & \\text{\\takween{بـ}}- & {993}- & {897} \\\\ \\text{\\takween{كم}} & \\text{\\takween{مـث}}- & & {612}- & {619} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 10511
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{ش}}\n- VAR: \\omega -> \\text{\\takween{و}}\n- VAR: \\zeta -> \\text{\\takween{ئـ}}\n- VAR: k -> \\text{\\takween{ضي}}\n- VAR: \\psi -> \\text{\\takween{ليم}}\n- VAR: w -> \\text{\\takween{جا}}\n- VAR: x -> \\text{\\takween{فه}}\n- VAR: u -> \\text{\\takween{مـشـ}}\n- VAR: \\lambda -> \\text{\\takween{حه}}\n- VAR: a -> \\text{\\takween{مـهـ}}\n- VAR: z -> \\text{\\takween{عا}}\n- VAR: \\omicron -> \\text{\\takween{هة}}\n- VAR: k -> \\text{\\takween{ش}}\n- VAR: \\omega -> \\text{\\takween{و}}\n- VAR: \\zeta -> \\text{\\takween{ئـ}}\n- VAR: k -> \\text{\\takween{ضي}}\n- VAR: \\psi -> \\text{\\takween{ليم}}\n- VAR: w -> \\text{\\takween{جا}}\n- VAR: x -> \\text{\\takween{فه}}\n- VAR: u -> \\text{\\takween{مـشـ}}\n- VAR: \\lambda -> \\text{\\takween{حه}}\n- VAR: a -> \\text{\\takween{مـهـ}}\n- VAR: z -> \\text{\\takween{عا}}\n- VAR: \\omicron -> \\text{\\takween{هة}}\n- FUN: \\omega -> \\text{\\diwani{ئـ}}\n- FUN: g -> \\text{\\diwani{ضه}}\n- FUN: \\omega -> \\text{\\diwani{ئـ}}\n- FUN: g -> \\text{\\diwani{ضه}}\n\nConvert this:\n\\sum_{-\\infty}^{16} \\left\\|\\underset{\\omega=\\zeta}{\\overset{+\\infty}{\\prod}} \\left(\\left[\\vec{\\mathbf{k}}^{444}\\right\\|\\right\\}\\right] \\sqrt[]{\\left(-\\omega\\left(\\psi_{692}\\right)\\right)^{\\cos\\left(\\mathbf{745}_{970,449}^{w}\\right)}} / \\iint \\left( \\oiiint g\\left(986_{244,a,z}^{\\lambda}\\right) \\, \\partial u \\, \\partial x\\right) \\equiv \\csc\\left(\\vec{\\ddot{59.87}}_{\\omicron,584}^{85}\\right)"
},
{
"role": "assistant",
"content": "\\arabcsc{\\prescript{{85}}{{584}،\\text{\\takween{هة}}}{\\arabvec{\\ddot{{59.87}}}}} \\equiv \\left(\\text{\\takween{فه}}{\\ad}\\text{\\takween{مـشـ}}{\\ad}\\left(\\prescript{\\text{\\takween{حه}}}{\\text{\\takween{عا}}،\\text{\\takween{مـهـ}}،{244}}{{986}}\\right)\\text{\\diwani{ضه}}\\oiiint\\right)\\iint / \\arabsqrt{}{\\prescript{\\arabcos{\\prescript{\\text{\\takween{جا}}}{{449}،{970}}{\\boldarabic{{745}}}}}{}{\\left(\\left(\\prescript{}{{692}}{\\text{\\takween{ليم}}}\\right)\\text{\\diwani{ئـ}}-\\right)}} \\left[\\left\\{\\left\\|\\prescript{{444}}{}{\\arabvec{\\boldarabic{\\text{\\takween{ضي}}}}}\\right]\\right)\\arabprod{\\text{\\takween{ئـ}}=\\text{\\takween{و}}}{\\infty +}\\right\\|\\arabsum{\\infty -}{{16}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 6706
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: k -> \\text{\\takween{مـف}}\n- FUN: G -> \\text{\\diwani{كي}}\n- FUN: G -> \\text{\\diwani{كو}}\n- FUN: H -> \\text{\\diwani{فا}}\n- FUN: h -> \\text{\\diwani{ضا}}\n\nConvert this:\nk^{\\left(4\\right)} \\left| 597 \\right\\} = \\frac{\\partial^{4}k}{}\\left| 597 \\right\\}=\\begin{bmatrix} \\lim_{597 \\to +\\infty} \\left[G\\left(\\hat{507}_{507,336,245}\\right)\\right)\\\\\\log_{87}\\left(\\left(-G\\left(597_{597,597,597}\\right) \\times \\sec\\left(\\mathbf{\\ddot{732.05}}_{956,208,348,597}\\right)\\right)^{\\mathbf{605}_{987,851,440} \\cdot \\exp\\left(880.89_{597,949}\\right)}\\right) \\bullet \\frac{\\lim_{597 \\to +\\infty} \\left\\{-\\coth\\left(685_{866,602,482}\\right) \\cosh\\left(607.79_{899}^{597}\\right) / H\\left(597_{597,597}\\right)\\right\\|}{\\lim_{597 \\to +\\infty} \\left(h\\left(\\check{197.10}_{453,438,690,399}^{797}\\right)\\right\\}} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left(\\left(\\prescript{}{{245}،{336}،{507}}{\\hat{{507}}}\\right)\\text{\\diwani{كي}}\\right]\\arablim{{597}}{\\infty +}\\\\ \\frac{\\left\\|\\left(\\prescript{}{{597}،{597}}{{597}}\\right)\\text{\\diwani{فا}} \\backslash \\arabcosh{\\prescript{{597}}{{899}}{{607.79}}} \\arabcoth{\\prescript{}{{482}،{602}،{866}}{{685}}}-\\right\\}\\arablim{{597}}{\\infty +}}{\\left\\{\\left(\\prescript{{797}}{{399}،{690}،{438}،{453}}{\\check{{197.10}}}\\right)\\text{\\diwani{ضا}}\\right)\\arablim{{597}}{\\infty +}} \\bullet \\arablog{{87}}{\\prescript{\\arabexp{\\prescript{}{{949}،{597}}{{880.89}}} \\cdot \\prescript{}{{440}،{851}،{987}}{\\boldarabic{{605}}}}{}{\\left(\\arabsec{\\prescript{}{{597}،{348}،{208}،{956}}{\\boldarabic{\\ddot{{732.05}}}}} \\times \\left(\\prescript{}{{597}،{597}،{597}}{{597}}\\right)\\text{\\diwani{كو}}-\\right)}} \\end{bmatrix}=\\left\\{ {597} \\right|\\frac{\\prescript{4}{}{\\text{\\takween{مـف}}}\\ad}{} = \\left\\{ {597} \\right|\\prescript{\\left(4\\right)}{}{\\text{\\takween{مـف}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 3296
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: w -> \\text{\\takween{ته}}\n- FUN: \\tau -> \\text{\\diwani{قة}}\n- FUN: H -> \\text{\\diwani{كا}}\n\nConvert this:\nw^{\\left(6\\right)} \\left( 777 \\right) = \\frac{\\partial^{6}w}{}\\left( 777 \\right)=\\begin{bmatrix} \\underset{81}{\\overset{50}{\\sum}} \\left\\langle\\sqrt[]{\\cos\\left(\\exp\\left(443_{567,292,777}\\right) + \\cot\\left(838_{777,777}\\right)\\right)}\\right\\}\\\\\\sqrt[777]{-\\arccos\\left(777\\right)}\\\\\\sum_{777=777}^{777} \\left\\{\\int_{-\\infty}^{872} \\tau\\left(\\mathbf{777}_{344,777,498}\\right) \\, \\partial 777\\right]\\\\\\log_{777}\\left(\\left\\|\\left\\|\\sqrt[777]{-\\tanh\\left(777_{777,777}\\right)}\\right\\rangle\\right\\}\\right)\\\\\\underset{777=777}{\\overset{+\\infty}{\\prod}} \\left[-H\\left(\\mathbf{777}_{777}^{216.31}\\right) \\bullet \\cosh\\left(830_{784,891,777,777}^{777}\\%\\right)\\right| \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left\\{\\arabsqrt{}{\\arabcos{ \\arabcot{\\prescript{}{{777}،{777}}{{838}}} + \\arabexp{\\prescript{}{{777}،{292}،{567}}{{443}}}}}\\right\\rangle\\arabsum{{81}}{{50}}\\\\\\arabsqrt{{777}}{\\arabacos{{777}}-}\\\\\\left[{777}{\\ad}\\left(\\prescript{}{{498}،{777}،{344}}{\\boldarabic{{777}}}\\right)\\text{\\diwani{قة}}\\arabint{\\infty -}{{872}}\\right\\}\\arabsum{{777}={777}}{{777}}\\\\\\arablog{{777}}{\\left\\{\\left\\langle\\arabsqrt{{777}}{\\arabtanh{\\prescript{}{{777}،{777}}{{777}}}-}\\right\\|\\right\\|}\\\\\\left|\\arabcosh{٪\\prescript{{777}}{{777}،{777}،{891}،{784}}{{830}}} \\bullet \\left(\\prescript{{216.31}}{{777}}{\\boldarabic{{777}}}\\right)\\text{\\diwani{كا}}-\\right]\\arabprod{{777}={777}}{\\infty +} \\end{bmatrix}=\\left( {777} \\right)\\frac{\\prescript{6}{}{\\text{\\takween{ته}}}\\ad}{} = \\left( {777} \\right)\\prescript{\\left(6\\right)}{}{\\text{\\takween{ته}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 1929
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\theta -> \\text{\\takween{لم}}\n- VAR: x -> \\text{\\takween{ن}}\n- VAR: g -> \\text{\\takween{حا}}\n\nConvert this:\n\\iiint -741.88_{x,g,633,354} \\arctan\\left(414_{993,178}\\right) \\, \\partial \\theta"
},
{
"role": "assistant",
"content": "\\text{\\takween{لم}}{\\ad}\\arabatan{\\prescript{}{{178}،{993}}{{414}}} \\prescript{}{{354}،{633}،\\text{\\takween{حا}}،\\text{\\takween{ن}}}{{741.88}}-\\iiint"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 8445
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} \\frac{-7041}{2117} & \\frac{-7565}{3885} & \\frac{-8586}{4273} & \\frac{8297}{-3242} & \\frac{-5760}{2173} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\frac{5760-}{2173} & \\frac{8297}{3242-} & \\frac{8586-}{4273} & \\frac{7565-}{3885} & \\frac{7041-}{2117} \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 8964
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: a -> \\text{\\takween{مة}}\n- VAR: f -> \\text{\\takween{موع}}\n- VAR: \\omicron -> \\text{\\takween{تيم}}\n- VAR: \\gamma -> \\text{\\takween{ضه}}\n- VAR: \\kappa -> \\text{\\takween{تـ}}\n- VAR: a -> \\text{\\takween{مة}}\n- VAR: f -> \\text{\\takween{موع}}\n- VAR: \\omicron -> \\text{\\takween{تيم}}\n- VAR: \\gamma -> \\text{\\takween{ضه}}\n- VAR: \\kappa -> \\text{\\takween{تـ}}\n- FUN: G -> \\text{\\diwani{شـ}}\n- FUN: h -> \\text{\\diwani{كه}}\n- FUN: G -> \\text{\\diwani{شـ}}\n- FUN: h -> \\text{\\diwani{كه}}\n\nConvert this:\n\\exp\\left(\\dddot{a}_{463,713}\\right) G\\left(\\vec{857}\\right) \\ne \\sum_{f=\\omicron}^{+\\infty} \\left\\|h\\left(\\gamma_{309,\\kappa}^{578}\\right)\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\left(\\prescript{{578}}{\\text{\\takween{تـ}}،{309}}{\\text{\\takween{ضه}}}\\right)\\text{\\diwani{كه}}\\right\\|\\arabsum{\\text{\\takween{تيم}}=\\text{\\takween{موع}}}{\\infty +} \\ne \\left(\\arabvec{{857}}\\right)\\text{\\diwani{شـ}} \\arabexp{\\prescript{}{{713}،{463}}{\\dddot{\\text{\\takween{مة}}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 12053
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\epsilon -> \\text{\\takween{ظيم}}\n- VAR: x -> \\text{\\takween{مـعـ}}\n- VAR: \\eta -> \\text{\\takween{فم}}\n- VAR: q -> \\text{\\takween{م}}\n\nConvert this:\n\\epsilon \\subset q = \\left\\{\\eta \\in \\eta\\right) \\triangle x \\nsupseteq \\epsilon"
},
{
"role": "assistant",
"content": "\\text{\\takween{ظيم}} \\nsupseteq \\text{\\takween{مـعـ}} \\triangle \\left(\\text{\\takween{فم}} \\in \\text{\\takween{فم}}\\right\\} = \\text{\\takween{م}} \\subset \\text{\\takween{ظيم}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 10440
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\epsilon -> \\text{\\takween{مـفـ}}\n- VAR: y -> \\text{\\takween{قة}}\n- VAR: \\lambda -> \\text{\\takween{مـل}}\n- VAR: z -> \\text{\\takween{عه}}\n- VAR: \\delta -> \\text{\\takween{ية}}\n\nConvert this:\n\\begin{vmatrix} -301 & 467 & -\\epsilon & y & \\lambda & \\\\ 710 & 507.27 & 793 & z & -\\delta & 968.70 \\end{vmatrix}"
},
{
"role": "assistant",
"content": "\\begin{vmatrix} & \\text{\\takween{مـل}} & \\text{\\takween{قة}} & \\text{\\takween{مـفـ}}- & {467} & {301}- \\\\ {968.70} & \\text{\\takween{ية}}- & \\text{\\takween{عه}} & {793} & {507.27} & {710} \\end{vmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 7568
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n7786"
},
{
"role": "assistant",
"content": "7786"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 14001
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: i -> \\text{\\takween{مـقـ}}\n- VAR: s -> \\text{\\takween{جو}}\n- VAR: g -> \\text{\\takween{مـحـ}}\n- VAR: f -> \\text{\\takween{يو}}\n- VAR: \\beta -> \\text{\\takween{مـعـ}}\n- VAR: e -> \\text{\\takween{ا}}\n- VAR: \\theta -> \\text{\\takween{مـظـ}}\n- VAR: \\alpha -> \\text{\\takween{مـق}}\n- VAR: \\sigma -> \\text{\\takween{ديم}}\n- VAR: \\rho -> \\text{\\takween{تة}}\n- VAR: e -> \\text{\\takween{فم}}\n- VAR: l -> \\text{\\takween{طة}}\n- VAR: q -> \\text{\\takween{مـتـ}}\n- VAR: \\sigma -> \\text{\\takween{غو}}\n- VAR: o -> \\text{\\takween{جم}}\n- VAR: \\psi -> \\text{\\takween{ديم}}\n- VAR: x -> \\text{\\takween{في}}\n- VAR: \\alpha -> \\text{\\takween{مـجـ}}\n- VAR: \\lambda -> \\text{\\takween{مـب}}\n- VAR: k -> \\text{\\takween{با}}\n- VAR: \\psi -> \\text{\\takween{ثة}}\n- VAR: t -> \\text{\\takween{يي}}\n- VAR: j -> \\text{\\takween{غة}}\n- VAR: \\lambda -> \\text{\\takween{ث}}\n- VAR: \\sigma -> \\text{\\takween{\\ad}}\n- VAR: i -> \\text{\\takween{مـقـ}}\n- VAR: s -> \\text{\\takween{جو}}\n- VAR: g -> \\text{\\takween{مـحـ}}\n- VAR: f -> \\text{\\takween{يو}}\n- VAR: \\beta -> \\text{\\takween{مـعـ}}\n- VAR: e -> \\text{\\takween{ا}}\n- VAR: \\theta -> \\text{\\takween{مـظـ}}\n- VAR: \\alpha -> \\text{\\takween{مـق}}\n- VAR: \\sigma -> \\text{\\takween{ديم}}\n- VAR: \\rho -> \\text{\\takween{تة}}\n- VAR: e -> \\text{\\takween{فم}}\n- VAR: l -> \\text{\\takween{طة}}\n- VAR: q -> \\text{\\takween{مـتـ}}\n- VAR: \\sigma -> \\text{\\takween{غو}}\n- VAR: o -> \\text{\\takween{جم}}\n- VAR: \\psi -> \\text{\\takween{ديم}}\n- VAR: x -> \\text{\\takween{في}}\n- VAR: \\alpha -> \\text{\\takween{مـجـ}}\n- VAR: \\lambda -> \\text{\\takween{مـب}}\n- VAR: k -> \\text{\\takween{با}}\n- VAR: \\psi -> \\text{\\takween{ثة}}\n- VAR: t -> \\text{\\takween{يي}}\n- VAR: j -> \\text{\\takween{غة}}\n- VAR: \\lambda -> \\text{\\takween{ث}}\n- VAR: \\sigma -> \\text{\\takween{\\ad}}\n- FUN: \\sigma -> \\text{\\diwani{يـ}}\n- FUN: \\chi -> \\text{\\diwani{نة}}\n- FUN: h -> \\text{\\diwani{مـهـ}}\n- FUN: \\chi -> \\text{\\diwani{م}}\n- FUN: \\omega -> \\text{\\diwani{كة}}\n- FUN: \\sigma -> \\text{\\diwani{يـ}}\n- FUN: \\chi -> \\text{\\diwani{نة}}\n- FUN: h -> \\text{\\diwani{مـهـ}}\n- FUN: \\chi -> \\text{\\diwani{م}}\n- FUN: \\omega -> \\text{\\diwani{كة}}\n\nConvert this:\n\\frac{\\underset{i=707.99}{\\overset{+\\infty}{\\sum}} \\left(\\underset{s=-\\infty}{\\overset{+\\infty}{\\prod}} \\left\\{\\cot\\left(\\overline{g}_{919,\\beta}^{f}\\right) \\cdot \\csc\\left(\\vec{881.30}_{e,307,\\theta,961}^{315}\\right)\\right]\\right)}{\\log_{q}\\left(\\lim_{\\alpha \\to 593} \\left|\\sigma\\left(\\vec{\\sigma}^{154}\\right) - \\tanh\\left(\\mathbf{\\tilde{\\rho}}_{587,464,e}\\right) \\tan\\left(l_{158}\\right)\\right|\\right)} \\equiv \\log_{\\sigma}\\left(\\left(\\frac{h\\left(\\chi\\left(226_{475,\\sigma,272}\\right)\\right)}{\\underset{o=-\\infty}{\\overset{+\\infty}{\\prod}} \\left[\\sinh\\left(241_{\\psi}^{933}\\right)\\right\\}}\\right)^{\\frac{-\\chi\\left(\\ddddot{832}^{737}\\right) \\times \\cot\\left(\\vec{\\hat{x}}_{\\lambda,k,900,\\psi}^{\\alpha}\\%\\right)}{\\lim_{t \\to 843.86} \\left[-\\omega\\left(\\ddot{j}_{821,693,\\lambda}\\right)\\right]}}\\right)"
},
{
"role": "assistant",
"content": "\\arablog{\\text{\\takween{\\ad}}}{\\prescript{\\frac{ \\arabcot{٪\\prescript{\\text{\\takween{مـجـ}}}{\\text{\\takween{ثة}}،{900}،\\text{\\takween{با}}،\\text{\\takween{مـب}}}{\\arabvec{\\hat{\\text{\\takween{في}}}}}} \\times \\left(\\prescript{{737}}{}{\\ddddot{{832}}}\\right)\\text{\\diwani{م}}-}{\\left[\\left(\\prescript{}{\\text{\\takween{ث}}،{693}،{821}}{\\ddot{\\text{\\takween{غة}}}}\\right)\\text{\\diwani{كة}}-\\right]\\arablim{\\text{\\takween{يي}}}{{843.86}}}}{}{\\left(\\frac{\\left(\\left(\\prescript{}{{272}،\\text{\\takween{غو}}،{475}}{{226}}\\right)\\text{\\diwani{نة}}\\right)\\text{\\diwani{مـهـ}}}{\\left\\{\\arabsinh{\\prescript{{933}}{\\text{\\takween{ديم}}}{{241}}}\\right]\\arabprod{\\infty -=\\text{\\takween{جم}}}{\\infty +}}\\right)}} \\equiv \\frac{\\left(\\left[\\arabcsc{\\prescript{{315}}{{961}،\\text{\\takween{مـظـ}}،{307}،\\text{\\takween{ا}}}{\\arabvec{{881.30}}}} \\cdot \\arabcot{\\prescript{\\text{\\takween{يو}}}{\\text{\\takween{مـعـ}}،{919}}{\\overline{\\text{\\takween{مـحـ}}}}}\\right\\}\\arabprod{\\infty -=\\text{\\takween{جو}}}{\\infty +}\\right)\\arabsum{{707.99}=\\text{\\takween{مـقـ}}}{\\infty +}}{\\arablog{\\text{\\takween{مـتـ}}}{\\left|\\arabtan{\\prescript{}{{158}}{\\text{\\takween{طة}}}} \\arabtanh{\\prescript{}{\\text{\\takween{فم}}،{464}،{587}}{\\boldarabic{\\tilde{\\text{\\takween{تة}}}}}} - \\left(\\prescript{{154}}{}{\\arabvec{\\text{\\takween{ديم}}}}\\right)\\text{\\diwani{يـ}}\\right|\\arablim{\\text{\\takween{مـق}}}{{593}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 14807
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\omega -> \\text{\\takween{مـنـ}}\n- VAR: \\beta -> \\text{\\takween{نه}}\n- VAR: p -> \\text{\\takween{مـهـ}}\n- VAR: e -> \\text{\\takween{مـل}}\n- VAR: \\kappa -> \\text{\\takween{لة}}\n- VAR: \\epsilon -> \\text{\\takween{كه}}\n- VAR: y -> \\text{\\takween{سم}}\n- VAR: w -> \\text{\\takween{ف}}\n- VAR: \\omega -> \\text{\\takween{شه}}\n- VAR: \\epsilon -> \\text{\\takween{خيم}}\n- VAR: \\omega -> \\text{\\takween{مـنـ}}\n- VAR: \\beta -> \\text{\\takween{نه}}\n- VAR: p -> \\text{\\takween{مـهـ}}\n- VAR: e -> \\text{\\takween{مـل}}\n- VAR: \\kappa -> \\text{\\takween{لة}}\n- VAR: \\epsilon -> \\text{\\takween{كه}}\n- VAR: y -> \\text{\\takween{سم}}\n- VAR: w -> \\text{\\takween{ف}}\n- VAR: \\omega -> \\text{\\takween{شه}}\n- VAR: \\epsilon -> \\text{\\takween{خيم}}\n- FUN: F -> \\text{\\diwani{هـ}}\n- FUN: F -> \\text{\\diwani{مـثـ}}\n- FUN: \\tau -> \\text{\\diwani{عه}}\n- FUN: \\chi -> \\text{\\diwani{موس}}\n- FUN: \\phi -> \\text{\\diwani{ص}}\n- FUN: F -> \\text{\\diwani{هـ}}\n- FUN: F -> \\text{\\diwani{مـثـ}}\n- FUN: \\tau -> \\text{\\diwani{عه}}\n- FUN: \\chi -> \\text{\\diwani{موس}}\n- FUN: \\phi -> \\text{\\diwani{ص}}\n\nConvert this:\n\\iiiint F\\left(\\beta^{p}\\right) / F\\left(\\acute{e}_{\\kappa}^{842}\\right) \\, \\partial \\omega \\ne \\left(\\sqrt[w]{\\int \\left( \\chi\\left(-\\tau\\left(\\mathbf{\\bar{y}}^{402.71}\\%\\right)\\right) \\, \\partial \\epsilon\\right|}\\right)^{\\cot\\left(\\sqrt[341.05]{\\prod_{\\omega=\\epsilon}^{358} \\left\\langle\\phi\\left(518_{72}\\%\\right)\\right)}\\right)}"
},
{
"role": "assistant",
"content": "\\prescript{\\arabcot{\\arabsqrt{{341.05}}{\\left(\\left(٪\\prescript{}{{72}}{{518}}\\right)\\text{\\diwani{ص}}\\right\\rangle\\arabprod{\\text{\\takween{خيم}}=\\text{\\takween{شه}}}{{358}}}}}{}{\\left(\\arabsqrt{\\text{\\takween{ف}}}{\\left|\\text{\\takween{كه}}{\\ad}\\left(\\left(٪\\prescript{{402.71}}{}{\\boldarabic{\\bar{\\text{\\takween{سم}}}}}\\right)\\text{\\diwani{عه}}-\\right)\\text{\\diwani{موس}}\\right)\\int}\\right)} \\ne \\text{\\takween{مـنـ}}{\\ad}\\left(\\prescript{{842}}{\\text{\\takween{لة}}}{\\acute{\\text{\\takween{مـل}}}}\\right)\\text{\\diwani{مـثـ}} \\backslash \\left(\\prescript{\\text{\\takween{مـهـ}}}{}{\\text{\\takween{نه}}}\\right)\\text{\\diwani{هـ}}\\iiiint"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 14976
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: b -> \\text{\\takween{مـخ}}\n- VAR: z -> \\text{\\takween{ظيم}}\n- VAR: \\xi -> \\text{\\takween{جة}}\n- VAR: \\omega -> \\text{\\takween{ئو}}\n- VAR: \\phi -> \\text{\\takween{ب}}\n- VAR: \\chi -> \\text{\\takween{مـشـ}}\n\nConvert this:\n\\begin{array}{cl} -227 & b \\\\ z & \\ddots \\\\ \\underset{-\\infty}{\\overset{+\\infty}{\\prod}} \\left\\|-\\bar{879}\\right\\} & -\\omega \\\\ \\phi & \\chi \\\\ -213 & 188 \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{cr} \\text{\\takween{مـخ}} & {227}- \\\\ \\ddots & \\text{\\takween{ظيم}} \\\\ \\text{\\takween{ئو}}- & \\left\\{\\bar{{879}}-\\right\\|\\arabprod{\\infty -}{\\infty +} \\\\ \\text{\\takween{مـشـ}} & \\text{\\takween{ب}} \\\\ {188} & {213}- \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 10615
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\tau -> \\text{\\takween{موع}}\n- VAR: \\omicron -> \\text{\\takween{نا}}\n- VAR: x -> \\text{\\takween{فا}}\n\nConvert this:\n\\begin{pmatrix} \\tau \\\\ -976 \\\\ \\omicron \\\\ -663 \\\\ x \\end{pmatrix}"
},
{
"role": "assistant",
"content": "\\begin{pmatrix} \\text{\\takween{موع}} \\\\ {976}- \\\\ \\text{\\takween{نا}} \\\\ {663}- \\\\ \\text{\\takween{فا}} \\end{pmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 3590
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: r -> \\text{\\takween{صو}}\n- VAR: k -> \\text{\\takween{سة}}\n- VAR: \\eta -> \\text{\\takween{شه}}\n- VAR: d -> \\text{\\takween{مـفـ}}\n- VAR: c -> \\text{\\takween{صو}}\n- VAR: \\kappa -> \\text{\\takween{مـب}}\n- VAR: h -> \\text{\\takween{مـبـ}}\n- VAR: \\nu -> \\text{\\takween{ضو}}\n- VAR: g -> \\text{\\takween{طـ}}\n- VAR: k -> \\text{\\takween{مـخ}}\n- FUN: \\tau -> \\text{\\diwani{سي}}\n\nConvert this:\n\\lim_{r \\to k^+} \\left\\{\\sqrt[k]{\\oiiint \\left\\langle \\arcsin\\left(\\mathbf{\\bar{d}}_{968,c}\\right) \\, \\partial \\eta\\right] / \\left\\langle\\tau\\left(\\kappa_{h,\\nu,512,g}\\right)\\right]}\\right|"
},
{
"role": "assistant",
"content": "\\left|\\arabsqrt{\\text{\\takween{مـخ}}}{ \\left[\\left(\\prescript{}{\\text{\\takween{طـ}}،{512}،\\text{\\takween{ضو}}،\\text{\\takween{مـبـ}}}{\\text{\\takween{مـب}}}\\right)\\text{\\diwani{سي}}\\right\\rangle / \\left[\\text{\\takween{شه}}{\\ad}\\arabasin{\\prescript{}{\\text{\\takween{صو}}،{968}}{\\boldarabic{\\bar{\\text{\\takween{مـفـ}}}}}}\\right\\rangle\\oiiint}\\right\\}\\arablim{\\text{\\takween{صو}}}{{}^{+}\\text{\\takween{سة}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 2547
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\omega -> \\text{\\takween{كي}}\n- VAR: f -> \\text{\\takween{مـجـ}}\n- VAR: \\rho -> \\text{\\takween{جه}}\n- VAR: s -> \\text{\\takween{كا}}\n- VAR: g -> \\text{\\takween{ضأ}}\n- VAR: \\eta -> \\text{\\takween{حة}}\n- VAR: b -> \\text{\\takween{فة}}\n- VAR: \\iota -> \\text{\\takween{ضه}}\n- VAR: a -> \\text{\\takween{يـ}}\n- VAR: \\nu -> \\text{\\takween{جي}}\n- VAR: e -> \\text{\\takween{طي}}\n- VAR: \\omega -> \\text{\\takween{شه}}\n- VAR: r -> \\text{\\takween{مـعـ}}\n- VAR: \\omega -> \\text{\\takween{كي}}\n- VAR: f -> \\text{\\takween{مـجـ}}\n- VAR: \\rho -> \\text{\\takween{جه}}\n- VAR: s -> \\text{\\takween{كا}}\n- VAR: g -> \\text{\\takween{ضأ}}\n- VAR: \\eta -> \\text{\\takween{حة}}\n- VAR: b -> \\text{\\takween{فة}}\n- VAR: \\iota -> \\text{\\takween{ضه}}\n- VAR: a -> \\text{\\takween{يـ}}\n- VAR: \\nu -> \\text{\\takween{جي}}\n- VAR: e -> \\text{\\takween{طي}}\n- VAR: \\omega -> \\text{\\takween{شه}}\n- VAR: r -> \\text{\\takween{مـعـ}}\n- FUN: g -> \\text{\\diwani{خ}}\n- FUN: Y -> \\text{\\diwani{ضة}}\n- FUN: \\omega -> \\text{\\diwani{مـف}}\n- FUN: g -> \\text{\\diwani{موث}}\n- FUN: g -> \\text{\\diwani{خ}}\n- FUN: Y -> \\text{\\diwani{ضة}}\n- FUN: \\omega -> \\text{\\diwani{مـف}}\n- FUN: g -> \\text{\\diwani{موث}}\n\nConvert this:\n\\left(g\\left(\\sinh\\left(\\bar{553}_{\\omega}\\right) \\bullet \\cot\\left(\\widetilde{241}_{301,28}\\%\\right)\\right) / \\int \\left( Y\\left(\\vec{\\ddddot{\\rho}}_{371,s,g}^{122.38}\\%\\right) \\, \\partial f\\right|\\right)^{\\left|\\sqrt[\\iota]{-\\arccos\\left(\\tilde{\\eta}_{518,b}\\right) \\omega\\left(\\mathbf{126}_{795}\\right)}\\right)} < \\frac{-g\\left(97_{509,\\nu}^{a}\\%\\right) \\csc\\left(767_{99,37}^{36}\\right)}{-\\sinh\\left(\\vec{\\check{e}}_{r}^{\\omega}\\right)}"
},
{
"role": "assistant",
"content": "\\frac{\\arabcsc{\\prescript{{36}}{{37}،{99}}{{767}}} \\left(٪\\prescript{\\text{\\takween{يـ}}}{\\text{\\takween{جي}}،{509}}{{97}}\\right)\\text{\\diwani{موث}}-}{\\arabsinh{\\prescript{\\text{\\takween{شه}}}{\\text{\\takween{مـعـ}}}{\\arabvec{\\check{\\text{\\takween{طي}}}}}}-} < \\prescript{\\left(\\arabsqrt{\\text{\\takween{ضه}}}{\\left(\\prescript{}{{795}}{\\boldarabic{{126}}}\\right)\\text{\\diwani{مـف}} \\arabacos{\\prescript{}{\\text{\\takween{فة}}،{518}}{\\tilde{\\text{\\takween{حة}}}}}-}\\right|}{}{\\left( \\left|\\text{\\takween{مـجـ}}{\\ad}\\left(٪\\prescript{{122.38}}{\\text{\\takween{ضأ}}،\\text{\\takween{كا}}،{371}}{\\arabvec{\\ddddot{\\text{\\takween{جه}}}}}\\right)\\text{\\diwani{ضة}}\\right)\\int / \\left(\\arabcot{٪\\prescript{}{{28}،{301}}{\\widetilde{{241}}}} \\bullet \\arabsinh{\\prescript{}{\\text{\\takween{كي}}}{\\bar{{553}}}}\\right)\\text{\\diwani{خ}}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 13868
}
|
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