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[
{
"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{نـ}}\n- VAR: \\epsilon -> \\text{\\takween{قة}}\n- VAR: a -> \\text{\\takween{مـق}}\n- VAR: j -> \\text{\\takween{حيم}}\n- VAR: o -> \\text{\\takween{مـش}}\n- VAR: \\omicron -> \\text{\\takween{مة}}\n- VAR: \\beta -> \\text{\\takween{مـكـ}}\n- VAR: h -> \\text{\\takween{\\ad}}\n- VAR: h -> \\text{\\takween{مـضـ}}\n- VAR: p -> \\text{\\takween{مـشـ}}\n- VAR: g -> \\text{\\takween{نـ}}\n- VAR: \\epsilon -> \\text{\\takween{قة}}\n- VAR: a -> \\text{\\takween{مـق}}\n- VAR: j -> \\text{\\takween{حيم}}\n- VAR: o -> \\text{\\takween{مـش}}\n- VAR: \\omicron -> \\text{\\takween{مة}}\n- VAR: \\beta -> \\text{\\takween{مـكـ}}\n- VAR: h -> \\text{\\takween{\\ad}}\n- VAR: h -> \\text{\\takween{مـضـ}}\n- VAR: p -> \\text{\\takween{مـشـ}}\n- FUN: Z -> \\text{\\diwani{ثـ}}\n- FUN: \\tau -> \\text{\\diwani{ق}}\n- FUN: \\sigma -> \\text{\\diwani{قا}}\n- FUN: Z -> \\text{\\diwani{ثـ}}\n- FUN: \\tau -> \\text{\\diwani{ق}}\n- FUN: \\sigma -> \\text{\\diwani{قا}}\n\nConvert this:\n\\sqrt[]{\\left(-\\sec\\left(372_{g,\\epsilon}\\right)\\right)} = Z\\left(a_{j,208}\\right) \\tau\\left(856_{o,\\omicron,\\beta,654}\\right) / \\sigma\\left(h^{h}\\right) \\cdot \\arcsin\\left(\\mathbf{\\breve{p}}_{488,175,709,925}\\right)"
},
{
"role": "assistant",
"content": "\\arabasin{\\prescript{}{{925}،{709}،{175}،{488}}{\\boldarabic{\\breve{\\text{\\takween{مـشـ}}}}}} \\cdot \\left(\\prescript{\\text{\\takween{مـضـ}}}{}{\\text{\\takween{\\ad}}}\\right)\\text{\\diwani{قا}} \\backslash \\left(\\prescript{}{{654}،\\text{\\takween{مـكـ}}،\\text{\\takween{مة}}،\\text{\\takween{مـش}}}{{856}}\\right)\\text{\\diwani{ق}} \\left(\\prescript{}{{208}،\\text{\\takween{حيم}}}{\\text{\\takween{مـق}}}\\right)\\text{\\diwani{ثـ}} = \\arabsqrt{}{\\left(\\arabsec{\\prescript{}{\\text{\\takween{قة}}،\\text{\\takween{نـ}}}{{372}}}-\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 6773
}
|
[
{
"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{طي}}\n- VAR: z -> \\text{\\takween{قم}}\n- FUN: X -> \\text{\\diwani{بي}}\n- FUN: X -> \\text{\\diwani{ط}}\n\nConvert this:\nX\\left(\\mathbf{\\dot{\\alpha}}_{z}^{811}\\right) - X\\left(84.43\\right)"
},
{
"role": "assistant",
"content": "\\left({84.43}\\right)\\text{\\diwani{ط}} - \\left(\\prescript{{811}}{\\text{\\takween{قم}}}{\\boldarabic{\\dot{\\text{\\takween{طي}}}}}\\right)\\text{\\diwani{بي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 5581
}
|
[
{
"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} 5718 \\\\ 9690 \\\\ 5983 \\\\ 7548 \\\\ -4148 \\end{bmatrix} \\in \\mathbb{Z}^5"
},
{
"role": "assistant",
"content": "\\prescript{5}{}{\\arabZ} \\in \\begin{bmatrix} 5718 \\\\ 9690 \\\\ 5983 \\\\ 7548 \\\\ 4148- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 13890
}
|
[
{
"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{عو}}\n- VAR: d -> \\text{\\takween{ضة}}\n- VAR: \\rho -> \\text{\\takween{نا}}\n\nConvert this:\n\\begin{array}{rcc} -i & 81 & d \\\\ 215 & -297 & \\rho \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{lcc} \\text{\\takween{ضة}} & {81} & \\text{\\takween{عو}}- \\\\ \\text{\\takween{نا}} & {297}- & {215} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 6647
}
|
[
{
"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: s -> \\text{\\takween{م}}\n- VAR: w -> \\text{\\takween{ص}}\n- FUN: \\tau -> \\text{\\diwani{مـطـ}}\n- FUN: h -> \\text{\\diwani{ح}}\n- FUN: \\omega -> \\text{\\diwani{هـ}}\n- FUN: \\chi -> \\text{\\diwani{كو}}\n- FUN: H -> \\text{\\diwani{شـ}}\n- FUN: G -> \\text{\\diwani{موئ}}\n- FUN: \\sigma -> \\text{\\diwani{تيم}}\n- FUN: \\chi -> \\text{\\diwani{موك}}\n\nConvert this:\nw \\left( 389, s \\right]=\\begin{bmatrix} \\sqrt[938.43]{\\underset{-\\infty}{\\overset{341}{\\prod}} \\left[\\int_{-\\infty}^{389} \\left[ \\tau\\left(\\vec{593}_{23,389,s}\\right) h\\left(415^{230}\\right) \\, \\partial 389\\right]\\right]}\\\\\\left(\\prod_{389=-\\infty}^{+\\infty} \\left(-\\cos\\left(389_{980,518}^{s}\\right) * \\ln\\left(986^{148}\\right) \\times \\left\\{\\omega\\left(389_{493,s}\\right)\\right]\\right\\rangle\\right)^{\\sqrt[]{\\log_{389}\\left(\\sum_{389=-\\infty}^{389} \\left(-\\chi\\left(\\bar{389}_{341,s,389}^{767}\\right)\\right)\\right)}}\\\\-H\\left(s_{389,872,s}^{473}\\right) G\\left(s_{808,681,700}^{983}\\right)\\\\\\frac{\\left\\{\\frac{\\sigma\\left(\\dot{187}_{910,s,389}^{s}\\right) \\tanh\\left(\\ddddot{389}_{389,319}\\right)}{-\\tanh\\left(449\\right) \\bullet \\sinh\\left(\\widetilde{s}_{389,389}^{s}\\right)}\\right|}{\\lim_{389 \\to +\\infty} \\left\\{\\underset{-\\infty}{\\overset{s}{\\sum}} \\left\\|-\\csc\\left(389_{389,836}^{97}\\right) \\cdot \\vec{\\dddot{s}}_{389}^{389}\\right|\\right|}\\\\\\sqrt[]{\\sqrt[617]{-\\chi\\left(280_{389}^{399}\\right)}} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\arabsqrt{{938.43}}{\\left[\\left[{389}{\\ad}\\left(\\prescript{{230}}{}{{415}}\\right)\\text{\\diwani{ح}} \\left(\\prescript{}{\\text{\\takween{م}}،{389}،{23}}{\\arabvec{{593}}}\\right)\\text{\\diwani{مـطـ}}\\right]\\arabint{\\infty -}{{389}}\\right]\\arabprod{\\infty -}{{341}}}\\\\\\prescript{\\arabsqrt{}{\\arablog{{389}}{\\left(\\left(\\prescript{{767}}{{389}،\\text{\\takween{م}}،{341}}{\\bar{{389}}}\\right)\\text{\\diwani{كو}}-\\right)\\arabsum{\\infty -={389}}{{389}}}}}{}{\\left(\\left\\langle \\left[\\left(\\prescript{}{\\text{\\takween{م}}،{493}}{{389}}\\right)\\text{\\diwani{هـ}}\\right\\} \\times \\arabnlog{\\prescript{{148}}{}{{986}}} * \\arabcos{\\prescript{\\text{\\takween{م}}}{{518}،{980}}{{389}}}-\\right)\\arabprod{\\infty -={389}}{\\infty +}\\right)}\\\\\\left(\\prescript{{983}}{{700}،{681}،{808}}{\\text{\\takween{م}}}\\right)\\text{\\diwani{موئ}} \\left(\\prescript{{473}}{\\text{\\takween{م}}،{872}،{389}}{\\text{\\takween{م}}}\\right)\\text{\\diwani{شـ}}-\\\\\\frac{\\left|\\frac{\\arabtanh{\\prescript{}{{319}،{389}}{\\ddddot{{389}}}} \\left(\\prescript{\\text{\\takween{م}}}{{389}،\\text{\\takween{م}}،{910}}{\\dot{{187}}}\\right)\\text{\\diwani{تيم}}}{\\arabsinh{\\prescript{\\text{\\takween{م}}}{{389}،{389}}{\\widetilde{\\text{\\takween{م}}}}} \\bullet \\arabtanh{{449}}-}\\right\\}}{\\left|\\left|\\prescript{{389}}{{389}}{\\arabvec{\\dddot{\\text{\\takween{م}}}}} \\cdot \\arabcsc{\\prescript{{97}}{{836}،{389}}{{389}}}-\\right\\|\\arabsum{\\infty -}{\\text{\\takween{م}}}\\right\\}\\arablim{{389}}{\\infty +}}\\\\\\arabsqrt{}{\\arabsqrt{{617}}{\\left(\\prescript{{399}}{{389}}{{280}}\\right)\\text{\\diwani{موك}}-}} \\end{bmatrix}=\\left[ \\text{\\takween{م}} ،{389} \\right)\\text{\\takween{ص}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 13956
}
|
[
{
"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{مـط}}\n- VAR: \\lambda -> \\text{\\takween{جم}}\n- VAR: \\omega -> \\text{\\takween{شو}}\n- VAR: \\mu -> \\text{\\takween{مـحـ}}\n- FUN: f -> \\text{\\diwani{ط}}\n- FUN: \\sigma -> \\text{\\diwani{ز}}\n- FUN: h -> \\text{\\diwani{ع}}\n- FUN: G -> \\text{\\diwani{هـ}}\n- FUN: \\chi -> \\text{\\diwani{يم}}\n\nConvert this:\n\\mu^{\\left(3\\right)} \\left\\| w, 911, \\lambda, \\omega \\right\\rangle=\\begin{bmatrix} \\sum_{911=-\\infty}^{\\lambda} \\left\\|\\left(\\frac{-\\omega_{911,111,w}}{f\\left(748.74_{911,\\lambda,\\lambda}\\right)}\\right) / \\int_{-\\infty}^{\\omega} \\underset{\\omega=887.69}{\\overset{\\lambda}{\\prod}} \\left\\{-\\sigma\\left(\\grave{141.70}_{911,w,476}^{244}\\right)\\right\\| \\, \\partial \\lambda\\right\\|\\\\\\underset{911=w}{\\overset{511}{\\prod}} \\left\\langle\\prod_{w}^{+\\infty} \\left(\\sqrt[]{\\left(-w_{911,247}^{\\omega} \\cosh\\left(\\mathbf{\\lambda}^{876}\\right) \\vec{299}_{\\omega}^{475} h\\left(\\widehat{614}_{911,506,\\omega}\\right)\\right)^{-G\\left(\\lambda_{911,679,927,42}\\right)}}\\right]\\right\\}\\\\\\log_{911}\\left(-\\sec\\left(\\mathbf{227.41}_{\\omega,\\lambda}\\%\\right) \\cdot \\tan\\left(\\lambda_{361,695}\\right) / \\arctan\\left(\\mathbf{519}_{w,\\omega,638,911}\\right)\\right)\\\\\\sinh\\left(\\left\\|\\sum_{\\lambda=-\\infty}^{w} \\left(\\log_{570}\\left(\\chi\\left(\\vec{w}\\right)\\right)\\right]\\right\\|\\right) \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left\\| \\text{\\takween{جم}}{\\ad}\\left\\|\\left(\\prescript{{244}}{{476}،\\text{\\takween{مـط}}،{911}}{\\grave{{141.70}}}\\right)\\text{\\diwani{ز}}-\\right\\}\\arabprod{{887.69}=\\text{\\takween{شو}}}{\\text{\\takween{جم}}}\\arabint{\\infty -}{\\text{\\takween{شو}}} / \\left(\\frac{\\prescript{}{\\text{\\takween{مـط}}،{111}،{911}}{\\text{\\takween{شو}}}-}{\\left(\\prescript{}{\\text{\\takween{جم}}،\\text{\\takween{جم}}،{911}}{{748.74}}\\right)\\text{\\diwani{ط}}}\\right)\\right\\|\\arabsum{\\infty -={911}}{\\text{\\takween{جم}}}\\\\\\left\\{\\left[\\arabsqrt{}{\\prescript{\\left(\\prescript{}{{42}،{927}،{679}،{911}}{\\text{\\takween{جم}}}\\right)\\text{\\diwani{هـ}}-}{}{\\left(\\left(\\prescript{}{\\text{\\takween{شو}}،{506}،{911}}{\\widehat{{614}}}\\right)\\text{\\diwani{ع}} \\prescript{{475}}{\\text{\\takween{شو}}}{\\arabvec{{299}}} \\arabcosh{\\prescript{{876}}{}{\\boldarabic{\\text{\\takween{جم}}}}} \\prescript{\\text{\\takween{شو}}}{{247}،{911}}{\\text{\\takween{مـط}}}-\\right)}}\\right)\\arabprod{\\text{\\takween{مـط}}}{\\infty +}\\right\\rangle\\arabprod{\\text{\\takween{مـط}}={911}}{{511}}\\\\\\arablog{{911}}{\\arabatan{\\prescript{}{{911}،{638}،\\text{\\takween{شو}}،\\text{\\takween{مـط}}}{\\boldarabic{{519}}}} \\backslash \\arabtan{\\prescript{}{{695}،{361}}{\\text{\\takween{جم}}}} \\cdot \\arabsec{٪\\prescript{}{\\text{\\takween{جم}}،\\text{\\takween{شو}}}{\\boldarabic{{227.41}}}}-}\\\\\\arabsinh{\\left\\|\\left[\\arablog{{570}}{\\left(\\arabvec{\\text{\\takween{مـط}}}\\right)\\text{\\diwani{يم}}}\\right)\\arabsum{\\infty -=\\text{\\takween{جم}}}{\\text{\\takween{مـط}}}\\right\\|} \\end{bmatrix}=\\left\\langle \\text{\\takween{شو}} ،\\text{\\takween{جم}} ،{911} ،\\text{\\takween{مـط}} \\right\\|\\prescript{\\left(3\\right)}{}{\\text{\\takween{مـحـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 2178
}
|
[
{
"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} 6355.155-3975.866i-5114.048j+3027.566k & -6013.486+5168.243i+4655.067j+8574.845k & -2327.937-7888.401i+5166.661j+669.540k & 8848.911-9926.709i-586.811j+4467.559k & 42.877-3482.120i-2674.996j+5440.358k \\end{bmatrix} \\in \\mathbb{H}^5"
},
{
"role": "assistant",
"content": "\\prescript{5}{}{\\arabH} \\in \\begin{bmatrix} \\text{ك}5440.358+ \\text{ج}2674.996- \\text{ت} 3482.120- 42.877 & \\text{ك}4467.559+ \\text{ج}586.811- \\text{ت} 9926.709- 8848.911 & \\text{ك}669.540+ \\text{ج}5166.661+ \\text{ت} 7888.401- 2327.937- & \\text{ك}8574.845+ \\text{ج}4655.067+ \\text{ت} 5168.243+ 6013.486- & \\text{ك}3027.566+ \\text{ج}5114.048- \\text{ت} 3975.866- 6355.155 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 8510
}
|
[
{
"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} -5396.484 & -5671.191 & 6899.671 & 1246.586 \\\\ -1038.462 & 2374.385 & 2670.517 & -271.856 \\\\ -4475.234 & 6326.380 & 1330.785 & -7854.519 \\\\ -9105.245 & 434.524 & -8157.001 & -8949.086 \\end{bmatrix} \\in \\mathbb{R}^\\left(4 \\times 4\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(4 \\times 4\\right)}{}{\\arabR} \\in \\begin{bmatrix} 1246.586 & 6899.671 & 5671.191- & 5396.484- \\\\ 271.856- & 2670.517 & 2374.385 & 1038.462- \\\\ 7854.519- & 1330.785 & 6326.380 & 4475.234- \\\\ 8949.086- & 8157.001- & 434.524 & 9105.245- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 1146
}
|
[
{
"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{نة}}\n- VAR: n -> \\text{\\takween{ش}}\n- VAR: \\phi -> \\text{\\takween{خيم}}\n- VAR: \\omicron -> \\text{\\takween{موغ}}\n- VAR: \\zeta -> \\text{\\takween{موئ}}\n- VAR: e -> \\text{\\takween{غه}}\n- VAR: \\epsilon -> \\text{\\takween{ضة}}\n- VAR: \\omega -> \\text{\\takween{سم}}\n- VAR: d -> \\text{\\takween{جو}}\n- VAR: z -> \\text{\\takween{خ}}\n- VAR: \\lambda -> \\text{\\takween{مـئـ}}\n- VAR: \\xi -> \\text{\\takween{جو}}\n- VAR: \\chi -> \\text{\\takween{غه}}\n- VAR: \\delta -> \\text{\\takween{م}}\n- VAR: r -> \\text{\\takween{مـلـ}}\n\nConvert this:\nr \\in \\delta = \\left[\\left(\\chi \\in \\xi\\right\\| \\cap n \\supset \\phi \\setminus \\lambda \\supsetneq n \\triangle z \\supsetneq d\\right\\| \\triangle \\left[\\omega \\supset \\epsilon \\cup \\left\\{e \\supset \\zeta \\setminus \\omicron \\not\\ni \\phi\\right\\rangle\\right\\| \\triangle n \\ni h"
},
{
"role": "assistant",
"content": "\\text{\\takween{نة}} \\ni \\text{\\takween{ش}} \\triangle \\left\\|\\left\\langle\\text{\\takween{خيم}} \\not\\ni \\text{\\takween{موغ}} \\setminus \\text{\\takween{موئ}} \\supset \\text{\\takween{غه}}\\right\\} \\cup \\text{\\takween{ضة}} \\supset \\text{\\takween{سم}}\\right] \\triangle \\left\\|\\text{\\takween{جو}} \\supsetneq \\text{\\takween{خ}} \\triangle \\text{\\takween{ش}} \\supsetneq \\text{\\takween{مـئـ}} \\setminus \\text{\\takween{خيم}} \\supset \\text{\\takween{ش}} \\cap \\left\\|\\text{\\takween{جو}} \\in \\text{\\takween{غه}}\\right)\\right] = \\text{\\takween{م}} \\in \\text{\\takween{مـلـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 9655
}
|
[
{
"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} 3656.470+3201.749i-7241.892j+8934.454k \\\\ -38.626+6164.049i-75.854j+2403.747k \\\\ -2428.485+4321.920i-4232.536j+9950.534k \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ك}8934.454+ \\text{ج}7241.892- \\text{ت} 3201.749+ 3656.470 \\\\ \\text{ك}2403.747+ \\text{ج}75.854- \\text{ت} 6164.049+ 38.626- \\\\ \\text{ك}9950.534+ \\text{ج}4232.536- \\text{ت} 4321.920+ 2428.485- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 4734
}
|
[
{
"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{ذ}}\n- VAR: \\eta -> \\text{\\takween{تـ}}\n- VAR: o -> \\text{\\takween{ثـ}}\n- VAR: q -> \\text{\\takween{مـجـ}}\n- VAR: r -> \\text{\\takween{حي}}\n- FUN: h -> \\text{\\diwani{تو}}\n\nConvert this:\n\\underset{\\eta}{\\overset{o}{\\sum}} \\left|-h\\left(\\breve{243}_{33,q,r}^{213.27}\\right)\\right)"
},
{
"role": "assistant",
"content": "\\left(\\left(\\prescript{{213.27}}{\\text{\\takween{حي}}،\\text{\\takween{مـجـ}}،{33}}{\\breve{{243}}}\\right)\\text{\\diwani{تو}}-\\right|\\arabsum{\\text{\\takween{تـ}}}{\\text{\\takween{ثـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 12740
}
|
[
{
"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{ه}}\n- VAR: r -> \\text{\\takween{مـيـ}}\n- VAR: l -> \\text{\\takween{مـشـ}}\n- VAR: k -> \\text{\\takween{سي}}\n- VAR: w -> \\text{\\takween{مـثـ}}\n- VAR: \\gamma -> \\text{\\takween{تو}}\n- VAR: a -> \\text{\\takween{ظيم}}\n- VAR: k -> \\text{\\takween{بم}}\n- VAR: o -> \\text{\\takween{مـحـ}}\n- VAR: n -> \\text{\\takween{فا}}\n- VAR: j -> \\text{\\takween{يـ}}\n- VAR: u -> \\text{\\takween{موث}}\n- VAR: \\beta -> \\text{\\takween{ها}}\n- VAR: \\iota -> \\text{\\takween{طـ}}\n- VAR: \\chi -> \\text{\\takween{عو}}\n- VAR: q -> \\text{\\takween{مـي}}\n- VAR: f -> \\text{\\takween{ه}}\n- VAR: r -> \\text{\\takween{مـيـ}}\n- VAR: l -> \\text{\\takween{مـشـ}}\n- VAR: k -> \\text{\\takween{سي}}\n- VAR: w -> \\text{\\takween{مـثـ}}\n- VAR: \\gamma -> \\text{\\takween{تو}}\n- VAR: a -> \\text{\\takween{ظيم}}\n- VAR: k -> \\text{\\takween{بم}}\n- VAR: o -> \\text{\\takween{مـحـ}}\n- VAR: n -> \\text{\\takween{فا}}\n- VAR: j -> \\text{\\takween{يـ}}\n- VAR: u -> \\text{\\takween{موث}}\n- VAR: \\beta -> \\text{\\takween{ها}}\n- VAR: \\iota -> \\text{\\takween{طـ}}\n- VAR: \\chi -> \\text{\\takween{عو}}\n- VAR: q -> \\text{\\takween{مـي}}\n- FUN: Y -> \\text{\\diwani{ط}}\n- FUN: \\phi -> \\text{\\diwani{مـهـ}}\n- FUN: Y -> \\text{\\diwani{دي}}\n- FUN: Y -> \\text{\\diwani{ط}}\n- FUN: \\phi -> \\text{\\diwani{مـهـ}}\n- FUN: Y -> \\text{\\diwani{دي}}\n\nConvert this:\n\\underset{f=r}{\\overset{+\\infty}{\\prod}} \\left\\{\\int_{-\\infty}^{797.52} Y\\left(k_{w}^{804.93}\\right) \\cdot \\ln\\left(\\acute{878}_{a,709,k}^{\\gamma}\\right) \\phi\\left(\\ddot{o}_{j,822}^{n}\\right) \\, \\partial l\\right] < \\coth\\left(-\\sin\\left(u_{\\beta,\\iota,544}\\right) \\tan\\left(\\dot{\\chi}^{928}\\right) Y\\left(\\vec{\\dot{903.10}}_{991,q,552}\\right)\\right)"
},
{
"role": "assistant",
"content": "\\arabcoth{\\left(\\prescript{}{{552}،\\text{\\takween{مـي}}،{991}}{\\arabvec{\\dot{{903.10}}}}\\right)\\text{\\diwani{دي}} \\arabtan{\\prescript{{928}}{}{\\dot{\\text{\\takween{عو}}}}} \\arabsin{\\prescript{}{{544}،\\text{\\takween{طـ}}،\\text{\\takween{ها}}}{\\text{\\takween{موث}}}}-} < \\left[\\text{\\takween{مـشـ}}{\\ad}\\left(\\prescript{\\text{\\takween{فا}}}{{822}،\\text{\\takween{يـ}}}{\\ddot{\\text{\\takween{مـحـ}}}}\\right)\\text{\\diwani{مـهـ}} \\arabnlog{\\prescript{\\text{\\takween{تو}}}{\\text{\\takween{بم}}،{709}،\\text{\\takween{ظيم}}}{\\acute{{878}}}} \\cdot \\left(\\prescript{{804.93}}{\\text{\\takween{مـثـ}}}{\\text{\\takween{سي}}}\\right)\\text{\\diwani{ط}}\\arabint{\\infty -}{{797.52}}\\right\\}\\arabprod{\\text{\\takween{مـيـ}}=\\text{\\takween{ه}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 1536
}
|
[
{
"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: \\nu -> \\text{\\takween{ئ}}\n- VAR: \\tau -> \\text{\\takween{بـ}}\n- VAR: j -> \\text{\\takween{ن}}\n- VAR: d -> \\text{\\takween{مـش}}\n- FUN: f -> \\text{\\diwani{مـك}}\n- FUN: f -> \\text{\\diwani{د}}\n\nConvert this:\nd \\left\\| \\nu, 379, \\tau, j \\right)=\\left\\{ \\begin{array}{l} \\underset{j}{\\overset{+\\infty}{\\sum}} \\left\\langle\\underset{379=-\\infty}{\\overset{+\\infty}{\\prod}} \\left|\\left(\\vec{\\nu}_{\\tau,\\tau}^{\\tau} f\\left(983_{j,683,379,573}^{787}\\right)\\right)^{-\\exp\\left(\\tau_{379,\\tau,\\tau,j}\\right) \\csc\\left(\\dot{\\nu}_{966}\\right)}\\right\\|\\right\\|\\\\\\left\\langle\\int_{288}^{+\\infty} -f\\left(812_{929,314}^{j}\\right) + \\cot\\left(\\vec{j}_{\\nu,395,46,\\nu}^{j}\\right) \\, \\partial \\tau\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left\\|\\left\\|\\prescript{\\arabcsc{\\prescript{}{{966}}{\\dot{\\text{\\takween{ئ}}}}} \\arabexp{\\prescript{}{\\text{\\takween{ن}}،\\text{\\takween{بـ}}،\\text{\\takween{بـ}}،{379}}{\\text{\\takween{بـ}}}}-}{}{\\left(\\left(\\prescript{{787}}{{573}،{379}،{683}،\\text{\\takween{ن}}}{{983}}\\right)\\text{\\diwani{مـك}} \\prescript{\\text{\\takween{بـ}}}{\\text{\\takween{بـ}}،\\text{\\takween{بـ}}}{\\arabvec{\\text{\\takween{ئ}}}}\\right)}\\right|\\arabprod{\\infty -={379}}{\\infty +}\\right\\rangle\\arabsum{\\text{\\takween{ن}}}{\\infty +}\\\\\\left(\\text{\\takween{بـ}}{\\ad}\\arabcot{\\prescript{\\text{\\takween{ن}}}{\\text{\\takween{ئ}}،{46}،{395}،\\text{\\takween{ئ}}}{\\arabvec{\\text{\\takween{ن}}}}} + \\left(\\prescript{\\text{\\takween{ن}}}{{314}،{929}}{{812}}\\right)\\text{\\diwani{د}}-\\arabint{{288}}{\\infty +}\\right\\rangle \\end{array} \\right\\}=\\left( \\text{\\takween{ن}} ،\\text{\\takween{بـ}} ،{379} ،\\text{\\takween{ئ}} \\right\\|\\text{\\takween{مـش}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 13111
}
|
[
{
"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{يـ}}\n- VAR: \\beta -> \\text{\\takween{كه}}\n- VAR: \\iota -> \\text{\\takween{موع}}\n- VAR: \\epsilon -> \\text{\\takween{ل}}\n- VAR: o -> \\text{\\takween{صي}}\n- VAR: \\mu -> \\text{\\takween{مـئـ}}\n- VAR: \\kappa -> \\text{\\takween{مـقـ}}\n- VAR: p -> \\text{\\takween{هـ}}\n- VAR: j -> \\text{\\takween{فة}}\n- VAR: \\lambda -> \\text{\\takween{تـ}}\n- VAR: a -> \\text{\\takween{يه}}\n- VAR: w -> \\text{\\takween{قم}}\n\nConvert this:\n\\left(\\mu \\not\\ni \\kappa\\right| \\cup w \\subsetneq a \\cap \\lambda \\in j = \\left(\\left(\\left(p \\subseteq \\kappa\\right| \\cap \\mu \\subsetneq o\\right) \\setminus \\epsilon \\supsetneq \\iota\\right) \\setminus \\beta \\in \\sigma"
},
{
"role": "assistant",
"content": "\\text{\\takween{يـ}} \\in \\text{\\takween{كه}} \\setminus \\left(\\text{\\takween{موع}} \\supsetneq \\text{\\takween{ل}} \\setminus \\left(\\text{\\takween{صي}} \\subsetneq \\text{\\takween{مـئـ}} \\cap \\left|\\text{\\takween{مـقـ}} \\subseteq \\text{\\takween{هـ}}\\right)\\right)\\right) = \\text{\\takween{فة}} \\in \\text{\\takween{تـ}} \\cap \\text{\\takween{يه}} \\subsetneq \\text{\\takween{قم}} \\cup \\left|\\text{\\takween{مـقـ}} \\not\\ni \\text{\\takween{مـئـ}}\\right)"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 4500
}
|
[
{
"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} 3530.251 & 9687.197 & -8839.439 & -9725.927 & 7002.734 \\\\ -9862.116 & 6371.880 & -9158.854 & 2923.735 & -1886.210 \\\\ 6850.098 & -9487.916 & 6815.659 & 9168.700 & 7155.575 \\\\ 4037.651 & -5374.296 & 2142.943 & -3077.935 & 8131.513 \\\\ 4985.801 & 6328.889 & 1892.628 & -1232.083 & 1754.783 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 7002.734 & 9725.927- & 8839.439- & 9687.197 & 3530.251 \\\\ 1886.210- & 2923.735 & 9158.854- & 6371.880 & 9862.116- \\\\ 7155.575 & 9168.700 & 6815.659 & 9487.916- & 6850.098 \\\\ 8131.513 & 3077.935- & 2142.943 & 5374.296- & 4037.651 \\\\ 1754.783 & 1232.083- & 1892.628 & 6328.889 & 4985.801 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 9015
}
|
[
{
"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{مـقـ}}\n- VAR: e -> \\text{\\takween{خو}}\n- VAR: \\lambda -> \\text{\\takween{مـئـ}}\n- VAR: p -> \\text{\\takween{تو}}\n- VAR: \\lambda -> \\text{\\takween{هة}}\n- VAR: \\lambda -> \\text{\\takween{صو}}\n- VAR: \\kappa -> \\text{\\takween{شو}}\n- VAR: f -> \\text{\\takween{مـقـ}}\n- VAR: e -> \\text{\\takween{خو}}\n- VAR: \\lambda -> \\text{\\takween{مـئـ}}\n- VAR: p -> \\text{\\takween{تو}}\n- VAR: \\lambda -> \\text{\\takween{هة}}\n- VAR: \\lambda -> \\text{\\takween{صو}}\n- VAR: \\kappa -> \\text{\\takween{شو}}\n- FUN: \\sigma -> \\text{\\diwani{مـيـ}}\n- FUN: \\omega -> \\text{\\diwani{مـه}}\n- FUN: \\sigma -> \\text{\\diwani{مـيـ}}\n- FUN: \\omega -> \\text{\\diwani{مـه}}\n\nConvert this:\n-\\arctan\\left(\\vec{f}\\right) \\times \\cot\\left(\\vec{569}_{e}^{41}\\right) \\equiv \\omega\\left(\\underset{-\\infty}{\\overset{+\\infty}{\\sum}} \\left|\\underset{p=\\lambda}{\\overset{+\\infty}{\\prod}} \\left(-\\sigma\\left(\\vec{\\lambda}^{\\kappa}\\right)\\right)\\right)\\right)"
},
{
"role": "assistant",
"content": "\\left(\\left(\\left(\\left(\\prescript{\\text{\\takween{شو}}}{}{\\arabvec{\\text{\\takween{صو}}}}\\right)\\text{\\diwani{مـيـ}}-\\right)\\arabprod{\\text{\\takween{هة}}=\\text{\\takween{تو}}}{\\infty +}\\right|\\arabsum{\\infty -}{\\infty +}\\right)\\text{\\diwani{مـه}} \\equiv \\arabcot{\\prescript{{41}}{\\text{\\takween{خو}}}{\\arabvec{{569}}}} \\times \\arabatan{\\arabvec{\\text{\\takween{مـقـ}}}}-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 8325
}
|
[
{
"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{جو}}\n- VAR: v -> \\text{\\takween{تو}}\n- FUN: G -> \\text{\\diwani{حا}}\n- FUN: g -> \\text{\\diwani{قي}}\n- FUN: \\psi -> \\text{\\diwani{يه}}\n- FUN: Z -> \\text{\\diwani{ليم}}\n\nConvert this:\nv^{\\left(3\\right)} \\left( 552.05, z \\right\\| = \\frac{\\partial^{3}v}{\\partial z^{3}}\\left( 552.05, z \\right\\|=\\begin{bmatrix} \\underset{z \\to +\\infty}{\\lim} \\left|\\underset{552.05=z}{\\overset{z}{\\sum}} \\left[\\left(-\\exp\\left(396_{z,z}\\right)\\right)^{-G\\left(z_{552.05,552.05}\\%\\right)}\\right)\\right)\\\\\\tan\\left(552.05\\right)\\\\-g\\left(z_{552.05}\\right) \\cdot \\psi\\left(\\acute{911}_{251,994}\\%\\right)\\\\\\frac{\\cosh\\left(269_{552.05,911,552.05,z}^{345.87}\\right)}{-Z\\left(\\vec{\\ddot{821}}_{383,552.05}\\right)} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left(\\left(\\prescript{\\left(٪\\prescript{}{{552.05}،{552.05}}{\\text{\\takween{جو}}}\\right)\\text{\\diwani{حا}}-}{}{\\left(\\arabexp{\\prescript{}{\\text{\\takween{جو}}،\\text{\\takween{جو}}}{{396}}}-\\right)}\\right]\\arabsum{\\text{\\takween{جو}}={552.05}}{\\text{\\takween{جو}}}\\right|\\arablim{\\text{\\takween{جو}}}{\\infty +}\\\\\\arabtan{{552.05}}\\\\\\left(٪\\prescript{}{{994}،{251}}{\\acute{{911}}}\\right)\\text{\\diwani{يه}} \\cdot \\left(\\prescript{}{{552.05}}{\\text{\\takween{جو}}}\\right)\\text{\\diwani{قي}}-\\\\\\frac{\\arabcosh{\\prescript{{345.87}}{\\text{\\takween{جو}}،{552.05}،{911}،{552.05}}{{269}}}}{\\left(\\prescript{}{{552.05}،{383}}{\\arabvec{\\ddot{{821}}}}\\right)\\text{\\diwani{ليم}}-} \\end{bmatrix}=\\left\\| \\text{\\takween{جو}} ،{552.05} \\right)\\frac{\\prescript{3}{}{\\text{\\takween{تو}}}\\ad}{\\prescript{3}{}{\\text{\\takween{جو}}}\\ad} = \\left\\| \\text{\\takween{جو}} ،{552.05} \\right)\\prescript{\\left(3\\right)}{}{\\text{\\takween{تو}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 133
}
|
[
{
"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: \\gamma -> \\text{\\takween{تي}}\n- VAR: z -> \\text{\\takween{بم}}\n- VAR: \\theta -> \\text{\\takween{خه}}\n- VAR: t -> \\text{\\takween{ته}}\n- VAR: \\epsilon -> \\text{\\takween{مـح}}\n- FUN: G -> \\text{\\diwani{جو}}\n\nConvert this:\n\\int \\sum_{-\\infty}^{+\\infty} \\left[-G\\left(910_{245,t,\\epsilon}^{\\theta}\\right)\\right\\rangle \\, \\partial \\gamma"
},
{
"role": "assistant",
"content": "\\text{\\takween{تي}}{\\ad}\\left\\langle\\left(\\prescript{\\text{\\takween{خه}}}{\\text{\\takween{مـح}}،\\text{\\takween{ته}}،{245}}{{910}}\\right)\\text{\\diwani{جو}}-\\right]\\arabsum{\\infty -}{\\infty +}\\int"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 9761
}
|
[
{
"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: y -> \\text{\\takween{ضي}}\n- FUN: F -> \\text{\\diwani{ظيم}}\n- FUN: \\omega -> \\text{\\diwani{ظ}}\n\nConvert this:\n\\omega\\left(-F\\left(\\ddot{505}_{y}\\right)\\right)"
},
{
"role": "assistant",
"content": "\\left(\\left(\\prescript{}{\\text{\\takween{ضي}}}{\\ddot{{505}}}\\right)\\text{\\diwani{ظيم}}-\\right)\\text{\\diwani{ظ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 13359
}
|
[
{
"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{طي}}\n- VAR: g -> \\text{\\takween{ح}}\n- VAR: \\kappa -> \\text{\\takween{حيم}}\n- VAR: w -> \\text{\\takween{ثيم}}\n- VAR: k -> \\text{\\takween{سة}}\n- FUN: X -> \\text{\\diwani{مـكـ}}\n- FUN: \\psi -> \\text{\\diwani{ضه}}\n- FUN: g -> \\text{\\diwani{سه}}\n- FUN: \\phi -> \\text{\\diwani{خه}}\n- FUN: \\sigma -> \\text{\\diwani{مـن}}\n- FUN: g -> \\text{\\diwani{صم}}\n- FUN: F -> \\text{\\diwani{ضيم}}\n- FUN: \\sigma -> \\text{\\diwani{ذ}}\n- FUN: \\psi -> \\text{\\diwani{نـ}}\n- FUN: \\sigma -> \\text{\\diwani{جي}}\n- FUN: H -> \\text{\\diwani{ئ}}\n- FUN: f -> \\text{\\diwani{ئو}}\n\nConvert this:\nk'' \\left\\{ e, g, \\kappa, w \\right]=\\left\\{ \\begin{array}{l} \\underset{w \\to +\\infty}{\\lim} \\left\\{\\left(\\underset{905}{\\overset{+\\infty}{\\prod}} \\left(X\\left(e_{e,151}\\right) \\psi\\left(158.57_{g}\\right)\\right\\}\\right)^{\\prod_{g=222}^{+\\infty} \\left(\\arccos\\left(e_{w,e}^{208}\\right) \\kappa_{w,135,925}\\right) - g\\left(\\vec{e}_{122,192,e,e}^{g}\\right) \\times -\\phi\\left(\\mathbf{\\breve{855.69}}_{w}^{g}\\right) + \\sigma\\left(\\vec{\\hat{w}}_{203,g,701}\\right)}\\right|\\\\\\int \\left(-g\\left(\\ddddot{504.92}\\right) F\\left(626_{402,w,20,86}\\right) \\sigma\\left(\\ddot{759}_{169,e}\\right)\\right)^{\\sin\\left(\\grave{580}^{961}\\right) \\arcsin\\left(437_{g,w,w}\\right) \\cdot \\psi\\left(301_{741,177,\\kappa}^{659}\\right)} \\, \\partial g\\\\\\left(\\sum_{e=-\\infty}^{614.31} \\left\\langle\\prod_{-\\infty}^{958.36} \\left\\{\\cot\\left(w_{987,\\kappa,g}\\right)\\right\\}\\right\\}\\right)^{\\left\\langle\\left(\\ddddot{301} \\sigma\\left(\\vec{\\mathbf{\\overline{w}}}_{352,g}\\right) \\bullet H\\left(\\underline{572}_{\\kappa}^{w}\\right) \\tan\\left(\\grave{63.39}_{g}^{251}\\right)\\right)^{f\\left(\\hat{e}_{\\kappa,w,711}\\right)}\\right\\|} \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left|\\prescript{ \\left(\\prescript{}{{701}،\\text{\\takween{ح}}،{203}}{\\arabvec{\\hat{\\text{\\takween{ثيم}}}}}\\right)\\text{\\diwani{مـن}} + \\left(\\prescript{\\text{\\takween{ح}}}{\\text{\\takween{ثيم}}}{\\boldarabic{\\breve{{855.69}}}}\\right)\\text{\\diwani{خه}}- \\times \\left(\\prescript{\\text{\\takween{ح}}}{\\text{\\takween{طي}}،\\text{\\takween{طي}}،{192}،{122}}{\\arabvec{\\text{\\takween{طي}}}}\\right)\\text{\\diwani{سه}} - \\left(\\prescript{}{{925}،{135}،\\text{\\takween{ثيم}}}{\\text{\\takween{حيم}}} \\arabacos{\\prescript{{208}}{\\text{\\takween{طي}}،\\text{\\takween{ثيم}}}{\\text{\\takween{طي}}}}\\right)\\arabprod{{222}=\\text{\\takween{ح}}}{\\infty +}}{}{\\left(\\left\\{ \\left(\\prescript{}{\\text{\\takween{ح}}}{{158.57}}\\right)\\text{\\diwani{ضه}} \\left(\\prescript{}{{151}،\\text{\\takween{طي}}}{\\text{\\takween{طي}}}\\right)\\text{\\diwani{مـكـ}}\\right)\\arabprod{{905}}{\\infty +}\\right)}\\right\\}\\arablim{\\text{\\takween{ثيم}}}{\\infty +}\\\\\\text{\\takween{ح}}{\\ad}\\prescript{\\left(\\prescript{{659}}{\\text{\\takween{حيم}}،{177}،{741}}{{301}}\\right)\\text{\\diwani{نـ}} \\cdot \\arabasin{\\prescript{}{\\text{\\takween{ثيم}}،\\text{\\takween{ثيم}}،\\text{\\takween{ح}}}{{437}}} \\arabsin{\\prescript{{961}}{}{\\grave{{580}}}}}{}{\\left(\\left(\\prescript{}{\\text{\\takween{طي}}،{169}}{\\ddot{{759}}}\\right)\\text{\\diwani{ذ}} \\left(\\prescript{}{{86}،{20}،\\text{\\takween{ثيم}}،{402}}{{626}}\\right)\\text{\\diwani{ضيم}} \\left(\\ddddot{{504.92}}\\right)\\text{\\diwani{صم}}-\\right)}\\int\\\\\\prescript{\\left\\|\\prescript{\\left(\\prescript{}{{711}،\\text{\\takween{ثيم}}،\\text{\\takween{حيم}}}{\\hat{\\text{\\takween{طي}}}}\\right)\\text{\\diwani{ئو}}}{}{\\left(\\arabtan{\\prescript{{251}}{\\text{\\takween{ح}}}{\\grave{{63.39}}}} \\left(\\prescript{\\text{\\takween{ثيم}}}{\\text{\\takween{حيم}}}{\\underline{{572}}}\\right)\\text{\\diwani{ئ}} \\bullet \\left(\\prescript{}{\\text{\\takween{ح}}،{352}}{\\arabvec{\\boldarabic{\\overline{\\text{\\takween{ثيم}}}}}}\\right)\\text{\\diwani{جي}} \\ddddot{{301}}\\right)}\\right\\rangle}{}{\\left(\\left\\{\\left\\{\\arabcot{\\prescript{}{\\text{\\takween{ح}}،\\text{\\takween{حيم}}،{987}}{\\text{\\takween{ثيم}}}}\\right\\}\\arabprod{\\infty -}{{958.36}}\\right\\rangle\\arabsum{\\infty -=\\text{\\takween{طي}}}{{614.31}}\\right)} \\end{array} \\right\\}=\\left[ \\text{\\takween{ثيم}} ،\\text{\\takween{حيم}} ،\\text{\\takween{ح}} ،\\text{\\takween{طي}} \\right\\}``\\!\\!\\text{\\takween{سة}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 14820
}
|
[
{
"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} -4158.141-8191.640i-7537.101j-6204.967k & 5632.871+9959.678i-3364.790j-8858.090k & 3404.416-1636.588i+9989.395j-8443.540k & 7063.711-5678.463i-3491.764j+8730.278k & -8900.225+408.568i+3074.841j-5531.258k & -8560.182-7751.542i-3414.627j-6410.086k \\\\ -2459.852-5722.230i+6385.655j+9163.971k & 5456.764+2889.599i-830.205j+8603.210k & 9705.593-132.703i+7884.643j+4090.328k & 32.191-6386.536i-2774.984j+4834.062k & -4817.881-2851.527i-9817.314j-2159.812k & 4572.621-1185.432i-6963.375j+1539.379k \\end{bmatrix} \\in \\mathbb{H}^\\left(2 \\times 6\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(6 \\times 2\\right)}{}{\\arabH} \\in \\begin{bmatrix} \\text{ك}6410.086- \\text{ج}3414.627- \\text{ت} 7751.542- 8560.182- & \\text{ك}5531.258- \\text{ج}3074.841+ \\text{ت} 408.568+ 8900.225- & \\text{ك}8730.278+ \\text{ج}3491.764- \\text{ت} 5678.463- 7063.711 & \\text{ك}8443.540- \\text{ج}9989.395+ \\text{ت} 1636.588- 3404.416 & \\text{ك}8858.090- \\text{ج}3364.790- \\text{ت} 9959.678+ 5632.871 & \\text{ك}6204.967- \\text{ج}7537.101- \\text{ت} 8191.640- 4158.141- \\\\ \\text{ك}1539.379+ \\text{ج}6963.375- \\text{ت} 1185.432- 4572.621 & \\text{ك}2159.812- \\text{ج}9817.314- \\text{ت} 2851.527- 4817.881- & \\text{ك}4834.062+ \\text{ج}2774.984- \\text{ت} 6386.536- 32.191 & \\text{ك}4090.328+ \\text{ج}7884.643+ \\text{ت} 132.703- 9705.593 & \\text{ك}8603.210+ \\text{ج}830.205- \\text{ت} 2889.599+ 5456.764 & \\text{ك}9163.971+ \\text{ج}6385.655+ \\text{ت} 5722.230- 2459.852- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 14422
}
|
[
{
"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} -2570 & -4256 \\\\ -3837 & 9780 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 4256- & 2570- \\\\ 9780 & 3837- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 1420
}
|
[
{
"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{مـفـ}}\n- VAR: \\gamma -> \\text{\\takween{يو}}\n- VAR: \\chi -> \\text{\\takween{به}}\n- VAR: \\theta -> \\text{\\takween{مـبـ}}\n- VAR: \\delta -> \\text{\\takween{ثا}}\n\nConvert this:\n\\frac{-\\arcsin\\left(\\vec{\\mathbf{\\dddot{340}}}_{788,\\beta,\\gamma}\\right)}{-\\exp\\left(\\chi_{513,\\theta,745,\\delta}\\right)}"
},
{
"role": "assistant",
"content": "\\frac{\\arabasin{\\prescript{}{\\text{\\takween{يو}}،\\text{\\takween{مـفـ}}،{788}}{\\arabvec{\\boldarabic{\\dddot{{340}}}}}}-}{\\arabexp{\\prescript{}{\\text{\\takween{ثا}}،{745}،\\text{\\takween{مـبـ}}،{513}}{\\text{\\takween{به}}}}-}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 7725
}
|
[
{
"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{\\ad}}\n- VAR: \\nu -> \\text{\\takween{مـلـ}}\n- VAR: a -> \\text{\\takween{سا}}\n- VAR: \\mu -> \\text{\\takween{يـ}}\n- VAR: \\epsilon -> \\text{\\takween{سي}}\n- VAR: f -> \\text{\\takween{مـيـ}}\n- VAR: \\beta -> \\text{\\takween{ني}}\n- FUN: \\chi -> \\text{\\diwani{موظ}}\n\nConvert this:\n\\frac{-\\exp\\left(47_{272}^{q}\\right)}{-\\chi\\left(\\nu_{\\mu,\\epsilon,f,\\beta}^{a}\\right)}"
},
{
"role": "assistant",
"content": "\\frac{\\arabexp{\\prescript{\\text{\\takween{\\ad}}}{{272}}{{47}}}-}{\\left(\\prescript{\\text{\\takween{سا}}}{\\text{\\takween{ني}}،\\text{\\takween{مـيـ}}،\\text{\\takween{سي}}،\\text{\\takween{يـ}}}{\\text{\\takween{مـلـ}}}\\right)\\text{\\diwani{موظ}}-}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 8706
}
|
[
{
"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{ئي}}\n- FUN: F -> \\text{\\diwani{ظو}}\n\nConvert this:\nd''' \\left[ 635 \\right| = \\frac{\\partial^{3}d}{}\\left[ 635 \\right|=\\log_{635}\\left(\\left|-F\\left(635\\%\\right) \\cdot \\csc\\left(\\acute{552}_{635,635}\\right)\\right\\}\\right)"
},
{
"role": "assistant",
"content": "\\arablog{{635}}{\\left\\{\\arabcsc{\\prescript{}{{635}،{635}}{\\acute{{552}}}} \\cdot \\left(٪{635}\\right)\\text{\\diwani{ظو}}-\\right|}=\\left| {635} \\right]\\frac{\\prescript{3}{}{\\text{\\takween{ئي}}}\\ad}{} = \\left| {635} \\right]```\\!\\!\\text{\\takween{ئي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 41
}
|
[
{
"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} 7013 \\\\ 6498 \\\\ 5962 \\\\ 6848 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 7013 \\\\ 6498 \\\\ 5962 \\\\ 6848 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 13375
}
|
[
{
"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} -6196.724+9608.499i-3887.733j+7091.789k & -4254.304-9385.351i-596.000j+7462.070k \\\\ 3001.899+8761.132i-9572.752j+6947.919k & 4104.780-4343.235i+898.053j+774.458k \\\\ 7551.932+8851.784i-6606.051j+8357.845k & -7588.237+488.948i-9776.971j+7604.035k \\\\ 6328.364-4439.608i+3226.254j-2117.184k & 864.480+6614.622i+1951.633j-9582.663k \\\\ -4918.320-5437.123i+219.578j+1264.242k & -1621.676+188.472i-7002.154j+4771.403k \\end{bmatrix} \\in \\mathbb{H}^\\left(5 \\times 2\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(2 \\times 5\\right)}{}{\\arabH} \\in \\begin{bmatrix} \\text{ك}7462.070+ \\text{ج}596.000- \\text{ت} 9385.351- 4254.304- & \\text{ك}7091.789+ \\text{ج}3887.733- \\text{ت} 9608.499+ 6196.724- \\\\ \\text{ك}774.458+ \\text{ج}898.053+ \\text{ت} 4343.235- 4104.780 & \\text{ك}6947.919+ \\text{ج}9572.752- \\text{ت} 8761.132+ 3001.899 \\\\ \\text{ك}7604.035+ \\text{ج}9776.971- \\text{ت} 488.948+ 7588.237- & \\text{ك}8357.845+ \\text{ج}6606.051- \\text{ت} 8851.784+ 7551.932 \\\\ \\text{ك}9582.663- \\text{ج}1951.633+ \\text{ت} 6614.622+ 864.480 & \\text{ك}2117.184- \\text{ج}3226.254+ \\text{ت} 4439.608- 6328.364 \\\\ \\text{ك}4771.403+ \\text{ج}7002.154- \\text{ت} 188.472+ 1621.676- & \\text{ك}1264.242+ \\text{ج}219.578+ \\text{ت} 5437.123- 4918.320- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 3067
}
|
[
{
"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{فة}}\n- VAR: e -> \\text{\\takween{ف}}\n- VAR: w -> \\text{\\takween{طـ}}\n- VAR: \\nu -> \\text{\\takween{ضيم}}\n- VAR: \\omega -> \\text{\\takween{مـشـ}}\n- VAR: \\eta -> \\text{\\takween{فة}}\n- VAR: h -> \\text{\\takween{ما}}\n- VAR: h -> \\text{\\takween{موس}}\n- VAR: \\mu -> \\text{\\takween{ظه}}\n- VAR: m -> \\text{\\takween{مـع}}\n- VAR: \\delta -> \\text{\\takween{ث}}\n- VAR: \\kappa -> \\text{\\takween{مـئـ}}\n- VAR: \\delta -> \\text{\\takween{ط}}\n- VAR: x -> \\text{\\takween{تي}}\n- VAR: x -> \\text{\\takween{مـنـ}}\n- VAR: j -> \\text{\\takween{فة}}\n- VAR: e -> \\text{\\takween{ف}}\n- VAR: w -> \\text{\\takween{طـ}}\n- VAR: \\nu -> \\text{\\takween{ضيم}}\n- VAR: \\omega -> \\text{\\takween{مـشـ}}\n- VAR: \\eta -> \\text{\\takween{فة}}\n- VAR: h -> \\text{\\takween{ما}}\n- VAR: h -> \\text{\\takween{موس}}\n- VAR: \\mu -> \\text{\\takween{ظه}}\n- VAR: m -> \\text{\\takween{مـع}}\n- VAR: \\delta -> \\text{\\takween{ث}}\n- VAR: \\kappa -> \\text{\\takween{مـئـ}}\n- VAR: \\delta -> \\text{\\takween{ط}}\n- VAR: x -> \\text{\\takween{تي}}\n- VAR: x -> \\text{\\takween{مـنـ}}\n- FUN: \\omega -> \\text{\\diwani{شـ}}\n- FUN: h -> \\text{\\diwani{عا}}\n- FUN: X -> \\text{\\diwani{ثـ}}\n- FUN: \\omega -> \\text{\\diwani{مـحـ}}\n- FUN: \\phi -> \\text{\\diwani{كم}}\n- FUN: Y -> \\text{\\diwani{عة}}\n- FUN: \\omega -> \\text{\\diwani{شـ}}\n- FUN: h -> \\text{\\diwani{عا}}\n- FUN: X -> \\text{\\diwani{ثـ}}\n- FUN: \\omega -> \\text{\\diwani{مـحـ}}\n- FUN: \\phi -> \\text{\\diwani{كم}}\n- FUN: Y -> \\text{\\diwani{عة}}\n\nConvert this:\n\\omega\\left(\\left.\\underset{j=-\\infty}{\\overset{431.61}{\\prod}} \\left\\langle\\cot\\left(e\\right) * -\\omega\\left(479_{104,w,170}\\right) / h\\left(252_{\\omega,461,925}^{\\nu}\\right) - X\\left(713\\right)\\right\\rangle\\right\\}\\right) \\sim \\left(\\int_{m}^{441} \\left| \\left[\\phi\\left(h_{h,\\mu,855}\\%\\right)\\right\\} \\, \\partial \\eta\\right\\}\\right)^{\\sqrt[972.34]{\\left(\\csc\\left(\\delta_{\\kappa}^{437}\\right)\\right)^{-\\cot\\left(\\mathbf{\\tilde{509.34}}_{949}^{59.41}\\right) / \\cot\\left(278.40_{248,828,\\delta}\\right) + Y\\left(\\vec{x}_{x,794}\\right)}}}"
},
{
"role": "assistant",
"content": "\\prescript{\\arabsqrt{{972.34}}{\\prescript{\\left(\\prescript{}{{794}،\\text{\\takween{مـنـ}}}{\\arabvec{\\text{\\takween{تي}}}}\\right)\\text{\\diwani{عة}} + \\arabcot{\\prescript{}{\\text{\\takween{ط}}،{828}،{248}}{{278.40}}} \\backslash \\arabcot{\\prescript{{59.41}}{{949}}{\\boldarabic{\\tilde{{509.34}}}}}-}{}{\\left(\\arabcsc{\\prescript{{437}}{\\text{\\takween{مـئـ}}}{\\text{\\takween{ث}}}}\\right)}}}{}{\\left(\\left\\{\\text{\\takween{فة}}{\\ad}\\left\\{\\left(٪\\prescript{}{{855}،\\text{\\takween{ظه}}،\\text{\\takween{موس}}}{\\text{\\takween{ما}}}\\right)\\text{\\diwani{كم}}\\right]\\right|\\arabint{\\text{\\takween{مـع}}}{{441}}\\right)} \\sim \\left(\\left\\{\\left\\langle \\left({713}\\right)\\text{\\diwani{ثـ}} - \\left(\\prescript{\\text{\\takween{ضيم}}}{{925}،{461}،\\text{\\takween{مـشـ}}}{{252}}\\right)\\text{\\diwani{عا}} \\backslash \\left(\\prescript{}{{170}،\\text{\\takween{طـ}}،{104}}{{479}}\\right)\\text{\\diwani{شـ}}- * \\arabcot{\\text{\\takween{ف}}}\\right\\rangle\\arabprod{\\infty -=\\text{\\takween{فة}}}{{431.61}}\\right.\\right)\\text{\\diwani{مـحـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 445
}
|
[
{
"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{ني}}\n- VAR: k -> \\text{\\takween{حو}}\n- VAR: o -> \\text{\\takween{يو}}\n- VAR: \\gamma -> \\text{\\takween{ثو}}\n- VAR: \\gamma -> \\text{\\takween{يي}}\n- FUN: X -> \\text{\\diwani{مة}}\n- FUN: \\tau -> \\text{\\diwani{مـق}}\n- FUN: G -> \\text{\\diwani{ه}}\n\nConvert this:\n\\log_{540}\\left(-X\\left(\\tau_{k,o}\\right) \\bullet \\tau\\left(935_{389,\\gamma}^{842.26}\\right) G\\left(13_{307,226,443}^{\\gamma}\\right)\\right)"
},
{
"role": "assistant",
"content": "\\arablog{{540}}{\\left(\\prescript{\\text{\\takween{يي}}}{{443}،{226}،{307}}{{13}}\\right)\\text{\\diwani{ه}} \\left(\\prescript{{842.26}}{\\text{\\takween{ثو}}،{389}}{{935}}\\right)\\text{\\diwani{مـق}} \\bullet \\left(\\prescript{}{\\text{\\takween{يو}}،\\text{\\takween{حو}}}{\\text{\\takween{ني}}}\\right)\\text{\\diwani{مة}}-}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 977
}
|
[
{
"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{موث}}\n- VAR: \\sigma -> \\text{\\takween{ديم}}\n- VAR: e -> \\text{\\takween{مـب}}\n- VAR: \\epsilon -> \\text{\\takween{سه}}\n\nConvert this:\n\\epsilon \\subseteq e = \\sigma \\supset \\zeta"
},
{
"role": "assistant",
"content": "\\text{\\takween{موث}} \\supset \\text{\\takween{ديم}} = \\text{\\takween{مـب}} \\subseteq \\text{\\takween{سه}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 12613
}
|
[
{
"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{طيم}}\n- VAR: f -> \\text{\\takween{مـب}}\n- VAR: \\epsilon -> \\text{\\takween{تا}}\n\nConvert this:\n\\sqrt[943]{\\csc\\left(e\\right)} / \\int_{218}^{+\\infty} \\arcsin\\left(\\breve{129}_{36,\\epsilon}\\right) \\, \\partial f"
},
{
"role": "assistant",
"content": " \\text{\\takween{مـب}}{\\ad}\\arabasin{\\prescript{}{\\text{\\takween{تا}}،{36}}{\\breve{{129}}}}\\arabint{{218}}{\\infty +} / \\arabsqrt{{943}}{\\arabcsc{\\text{\\takween{طيم}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 1642
}
|
[
{
"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{موس}}\n- VAR: \\phi -> \\text{\\takween{مـظ}}\n- VAR: \\omicron -> \\text{\\takween{مـث}}\n- VAR: \\xi -> \\text{\\takween{ليم}}\n- VAR: q -> \\text{\\takween{ث}}\n- VAR: n -> \\text{\\takween{موع}}\n- VAR: o -> \\text{\\takween{مـب}}\n- VAR: k -> \\text{\\takween{غي}}\n- VAR: r -> \\text{\\takween{غي}}\n- VAR: \\eta -> \\text{\\takween{نا}}\n- VAR: p -> \\text{\\takween{طو}}\n- VAR: x -> \\text{\\takween{مـتـ}}\n\nConvert this:\nq \\ni x = \\left\\{\\xi \\subsetneq p\\right\\} \\cap \\eta \\in r \\triangle \\left[n \\nsubseteq k\\right\\| \\triangle \\left\\|\\left\\{\\left|o \\supseteq n\\right] \\triangle \\left|q \\subset \\xi\\right]\\right\\} \\triangle \\left\\{\\left|\\xi \\notin \\omicron\\right) \\cup \\phi \\ni h\\right\\}\\right]"
},
{
"role": "assistant",
"content": "\\left[\\left\\{\\text{\\takween{موس}} \\ni \\text{\\takween{مـظ}} \\cup \\left(\\text{\\takween{مـث}} \\notin \\text{\\takween{ليم}}\\right|\\right\\} \\triangle \\left\\{\\left[\\text{\\takween{ليم}} \\subset \\text{\\takween{ث}}\\right| \\triangle \\left[\\text{\\takween{موع}} \\supseteq \\text{\\takween{مـب}}\\right|\\right\\}\\right\\| \\triangle \\left\\|\\text{\\takween{غي}} \\nsubseteq \\text{\\takween{موع}}\\right] \\triangle \\text{\\takween{غي}} \\in \\text{\\takween{نا}} \\cap \\left\\{\\text{\\takween{طو}} \\subsetneq \\text{\\takween{ليم}}\\right\\} = \\text{\\takween{مـتـ}} \\ni \\text{\\takween{ث}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 7186
}
|
[
{
"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-7372 \\in \\mathbb{Z}"
},
{
"role": "assistant",
"content": "\\arabZ \\in 7372-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 10937
}
|
[
{
"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} 7581.717+6585.398i-4742.335j-9928.945k & -365.254+9251.812i-3773.924j+3669.471k & -5061.986+8196.643i+3965.629j+5793.650k & 6291.759-6686.714i+9326.933j-3077.204k & 8198.290+4501.733i-7040.929j+9812.792k & -1517.795-7912.563i-3956.886j+529.178k \\\\ -728.818-7501.810i+2875.827j+6961.080k & -2219.789+521.495i-1224.527j+1669.801k & -9447.745+1375.023i-8751.380j+6480.825k & -7754.426-4279.277i+2152.428j-4111.324k & -4396.189-4135.450i-4005.013j-9289.148k & 779.326-8388.900i-3001.189j+8228.399k \\end{bmatrix} \\in \\mathbb{H}^\\left(2 \\times 6\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(6 \\times 2\\right)}{}{\\arabH} \\in \\begin{bmatrix} \\text{ك}529.178+ \\text{ج}3956.886- \\text{ت} 7912.563- 1517.795- & \\text{ك}9812.792+ \\text{ج}7040.929- \\text{ت} 4501.733+ 8198.290 & \\text{ك}3077.204- \\text{ج}9326.933+ \\text{ت} 6686.714- 6291.759 & \\text{ك}5793.650+ \\text{ج}3965.629+ \\text{ت} 8196.643+ 5061.986- & \\text{ك}3669.471+ \\text{ج}3773.924- \\text{ت} 9251.812+ 365.254- & \\text{ك}9928.945- \\text{ج}4742.335- \\text{ت} 6585.398+ 7581.717 \\\\ \\text{ك}8228.399+ \\text{ج}3001.189- \\text{ت} 8388.900- 779.326 & \\text{ك}9289.148- \\text{ج}4005.013- \\text{ت} 4135.450- 4396.189- & \\text{ك}4111.324- \\text{ج}2152.428+ \\text{ت} 4279.277- 7754.426- & \\text{ك}6480.825+ \\text{ج}8751.380- \\text{ت} 1375.023+ 9447.745- & \\text{ك}1669.801+ \\text{ج}1224.527- \\text{ت} 521.495+ 2219.789- & \\text{ك}6961.080+ \\text{ج}2875.827+ \\text{ت} 7501.810- 728.818- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 11487
}
|
[
{
"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{له}}\n- VAR: \\mu -> \\text{\\takween{مـح}}\n- VAR: a -> \\text{\\takween{ني}}\n- VAR: b -> \\text{\\takween{غو}}\n- VAR: \\partial -> \\text{\\takween{فة}}\n- VAR: \\rho -> \\text{\\takween{مـلـ}}\n- VAR: k -> \\text{\\takween{مـخـ}}\n- VAR: \\lambda -> \\text{\\takween{تـ}}\n- VAR: \\eta -> \\text{\\takween{تة}}\n- VAR: l -> \\text{\\takween{مـخـ}}\n- VAR: s -> \\text{\\takween{مـس}}\n- VAR: g -> \\text{\\takween{هة}}\n- VAR: h -> \\text{\\takween{ش}}\n- VAR: n -> \\text{\\takween{مـي}}\n- VAR: m -> \\text{\\takween{كه}}\n- VAR: k -> \\text{\\takween{سو}}\n- VAR: z -> \\text{\\takween{له}}\n- VAR: \\mu -> \\text{\\takween{مـح}}\n- VAR: a -> \\text{\\takween{ني}}\n- VAR: b -> \\text{\\takween{غو}}\n- VAR: \\partial -> \\text{\\takween{فة}}\n- VAR: \\rho -> \\text{\\takween{مـلـ}}\n- VAR: k -> \\text{\\takween{مـخـ}}\n- VAR: \\lambda -> \\text{\\takween{تـ}}\n- VAR: \\eta -> \\text{\\takween{تة}}\n- VAR: l -> \\text{\\takween{مـخـ}}\n- VAR: s -> \\text{\\takween{مـس}}\n- VAR: g -> \\text{\\takween{هة}}\n- VAR: h -> \\text{\\takween{ش}}\n- VAR: n -> \\text{\\takween{مـي}}\n- VAR: m -> \\text{\\takween{كه}}\n- VAR: k -> \\text{\\takween{سو}}\n- FUN: \\chi -> \\text{\\diwani{ضع}}\n- FUN: X -> \\text{\\diwani{ثو}}\n- FUN: \\chi -> \\text{\\diwani{ضع}}\n- FUN: X -> \\text{\\diwani{ثو}}\n\nConvert this:\n\\left\\langle\\int_{-\\infty}^{277.33} \\left\\langle \\left\\{\\frac{\\arccos\\left(\\mathbf{\\ddot{\\mu}}_{a}^{156.42}\\right) \\bullet \\chi\\left(\\vec{\\mathbf{910}}^{b}\\right)}{-\\cos\\left(\\vec{\\mathbf{370.87}}_{\\partial,\\rho}^{142}\\right) \\bullet X\\left(\\vec{\\tilde{757}}_{k}\\right)}\\right| \\, \\partial z\\right)\\right| \\geq \\left(\\frac{\\sqrt[]{-\\coth\\left(\\vec{\\mathbf{\\widehat{453.46}}}\\right) \\csc\\left(\\vec{\\lambda}_{161}^{896}\\right) \\cot\\left(\\mathbf{\\eta}_{s}^{l}\\%\\right)}}{\\log_{k}\\left(-\\ln\\left(\\tilde{g}_{n,m,510}^{h}\\right)\\right)}\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\frac{\\arabsqrt{}{\\arabcot{٪\\prescript{\\text{\\takween{مـخـ}}}{\\text{\\takween{مـس}}}{\\boldarabic{\\text{\\takween{تة}}}}} \\arabcsc{\\prescript{{896}}{{161}}{\\arabvec{\\text{\\takween{تـ}}}}} \\arabcoth{\\arabvec{\\boldarabic{\\widehat{{453.46}}}}}-}}{\\arablog{\\text{\\takween{سو}}}{\\arabnlog{\\prescript{\\text{\\takween{ش}}}{{510}،\\text{\\takween{كه}}،\\text{\\takween{مـي}}}{\\tilde{\\text{\\takween{هة}}}}}-}}\\right) \\geq \\left|\\left(\\text{\\takween{له}}{\\ad}\\left|\\frac{\\left(\\prescript{\\text{\\takween{غو}}}{}{\\arabvec{\\boldarabic{{910}}}}\\right)\\text{\\diwani{ضع}} \\bullet \\arabacos{\\prescript{{156.42}}{\\text{\\takween{ني}}}{\\boldarabic{\\ddot{\\text{\\takween{مـح}}}}}}}{\\left(\\prescript{}{\\text{\\takween{مـخـ}}}{\\arabvec{\\tilde{{757}}}}\\right)\\text{\\diwani{ثو}} \\bullet \\arabcos{\\prescript{{142}}{\\text{\\takween{مـلـ}}،\\text{\\takween{فة}}}{\\arabvec{\\boldarabic{{370.87}}}}}-}\\right\\}\\right\\rangle\\arabint{\\infty -}{{277.33}}\\right\\rangle"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 8709
}
|
[
{
"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{موش}}\n- VAR: v -> \\text{\\takween{مـس}}\n- VAR: \\lambda -> \\text{\\takween{ذ}}\n- FUN: F -> \\text{\\diwani{مـع}}\n\nConvert this:\n\\lambda''' \\left[ x, v \\right\\|=\\begin{bmatrix} \\underset{x \\to +\\infty}{\\lim} \\left\\{\\coth\\left(\\ddot{329}_{453}\\right)\\right\\rangle\\\\\\prod_{x=x}^{515} \\left\\langle\\left|F\\left(\\vec{\\mathbf{x}}_{v,372,685,x}\\right)\\right|\\right\\| \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left\\langle\\arabcoth{\\prescript{}{{453}}{\\ddot{{329}}}}\\right\\}\\arablim{\\text{\\takween{موش}}}{\\infty +}\\\\\\left\\|\\left|\\left(\\prescript{}{\\text{\\takween{موش}}،{685}،{372}،\\text{\\takween{مـس}}}{\\arabvec{\\boldarabic{\\text{\\takween{موش}}}}}\\right)\\text{\\diwani{مـع}}\\right|\\right\\rangle\\arabprod{\\text{\\takween{موش}}=\\text{\\takween{موش}}}{{515}} \\end{bmatrix}=\\left\\| \\text{\\takween{مـس}} ،\\text{\\takween{موش}} \\right]```\\!\\!\\text{\\takween{ذ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 13617
}
|
[
{
"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{موغ}}\n- VAR: p -> \\text{\\takween{فا}}\n- VAR: v -> \\text{\\takween{حيم}}\n- VAR: u -> \\text{\\takween{نـ}}\n- VAR: x -> \\text{\\takween{مـتـ}}\n- VAR: z -> \\text{\\takween{سو}}\n- VAR: \\partial -> \\text{\\takween{وي}}\n- VAR: \\sigma -> \\text{\\takween{موس}}\n- VAR: k -> \\text{\\takween{ح}}\n- VAR: \\partial -> \\text{\\takween{مـئـ}}\n- VAR: t -> \\text{\\takween{مـق}}\n- VAR: \\partial -> \\text{\\takween{زي}}\n- VAR: z -> \\text{\\takween{ضأ}}\n- VAR: b -> \\text{\\takween{موغ}}\n- VAR: p -> \\text{\\takween{فا}}\n- VAR: v -> \\text{\\takween{حيم}}\n- VAR: u -> \\text{\\takween{نـ}}\n- VAR: x -> \\text{\\takween{مـتـ}}\n- VAR: z -> \\text{\\takween{سو}}\n- VAR: \\partial -> \\text{\\takween{وي}}\n- VAR: \\sigma -> \\text{\\takween{موس}}\n- VAR: k -> \\text{\\takween{ح}}\n- VAR: \\partial -> \\text{\\takween{مـئـ}}\n- VAR: t -> \\text{\\takween{مـق}}\n- VAR: \\partial -> \\text{\\takween{زي}}\n- VAR: z -> \\text{\\takween{ضأ}}\n\nConvert this:\n\\oint \\left\\{ -\\arctan\\left(84\\right) + \\sinh\\left(p_{177,249,966,v}\\right) \\, \\partial b\\right] \\approx \\frac{\\arcsin\\left(-\\sec\\left(u_{843,457}^{463}\\right)\\right) \\underset{x=-\\infty}{\\overset{956.52}{\\prod}} \\left(-\\coth\\left(\\overline{z}_{\\sigma,k,147,\\partial}^{\\partial}\\right) \\times \\cot\\left(\\hat{18.03}_{669,848,t,687}\\right)\\right\\}}{\\left\\{\\ln\\left(\\exp\\left(\\mathbf{\\underline{\\partial}}_{z}\\right)\\right)\\right\\rangle}"
},
{
"role": "assistant",
"content": "\\frac{ \\left\\{\\arabcot{\\prescript{}{{687}،\\text{\\takween{مـق}}،{848}،{669}}{\\hat{{18.03}}}} \\times \\arabcoth{\\prescript{\\text{\\takween{وي}}}{\\text{\\takween{مـئـ}}،{147}،\\text{\\takween{ح}}،\\text{\\takween{موس}}}{\\overline{\\text{\\takween{سو}}}}}-\\right)\\arabprod{\\infty -=\\text{\\takween{مـتـ}}}{{956.52}} \\arabasin{\\arabsec{\\prescript{{463}}{{457}،{843}}{\\text{\\takween{نـ}}}}-}}{\\left\\langle\\arabnlog{\\arabexp{\\prescript{}{\\text{\\takween{ضأ}}}{\\boldarabic{\\underline{\\text{\\takween{زي}}}}}}}\\right\\}} \\approx \\left[\\text{\\takween{موغ}}{\\ad}\\arabsinh{\\prescript{}{\\text{\\takween{حيم}}،{966}،{249}،{177}}{\\text{\\takween{فا}}}} + \\arabatan{{84}}-\\right\\}\\oint"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 13314
}
|
[
{
"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: c -> \\text{\\takween{غ}}\n- VAR: r -> \\text{\\takween{له}}\n- VAR: c -> \\text{\\takween{مـعـ}}\n- VAR: \\iota -> \\text{\\takween{مـض}}\n- VAR: \\nu -> \\text{\\takween{مـهـ}}\n- VAR: m -> \\text{\\takween{ها}}\n- VAR: x -> \\text{\\takween{عو}}\n- VAR: k -> \\text{\\takween{في}}\n- FUN: \\phi -> \\text{\\diwani{قو}}\n- FUN: X -> \\text{\\diwani{نو}}\n\nConvert this:\n\\frac{\\left(\\left|\\cos\\left(\\mathbf{\\acute{22}}_{c,722}^{181}\\right) \\phi\\left(\\acute{r}_{309,862}\\right)\\right)\\right)^{\\left[-\\mathbf{\\underline{217}}_{\\iota,\\nu,m,492}^{c}\\right|}}{\\sqrt[]{\\underset{x=568}{\\overset{k}{\\prod}} \\left\\|X\\left(\\vec{\\ddot{262}}_{234,302}^{525}\\right)\\right\\|}}"
},
{
"role": "assistant",
"content": "\\frac{\\prescript{\\left|\\prescript{\\text{\\takween{مـعـ}}}{{492}،\\text{\\takween{ها}}،\\text{\\takween{مـهـ}}،\\text{\\takween{مـض}}}{\\boldarabic{\\underline{{217}}}}-\\right]}{}{\\left(\\left(\\left(\\prescript{}{{862}،{309}}{\\acute{\\text{\\takween{له}}}}\\right)\\text{\\diwani{قو}} \\arabcos{\\prescript{{181}}{{722}،\\text{\\takween{غ}}}{\\boldarabic{\\acute{{22}}}}}\\right|\\right)}}{\\arabsqrt{}{\\left\\|\\left(\\prescript{{525}}{{302}،{234}}{\\arabvec{\\ddot{{262}}}}\\right)\\text{\\diwani{نو}}\\right\\|\\arabprod{{568}=\\text{\\takween{عو}}}{\\text{\\takween{في}}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 11975
}
|
[
{
"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{حي}}\n- VAR: s -> \\text{\\takween{مـل}}\n\nConvert this:\n\\begin{array}{l} -\\arctan\\left(\\mathbf{293}_{s,293,1}^{\\partial}\\right) \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{r} \\arabatan{\\prescript{\\text{\\takween{حي}}}{{1}،{293}،\\text{\\takween{مـل}}}{\\boldarabic{{293}}}}- \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 6378
}
|
[
{
"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: \\gamma -> \\text{\\takween{موض}}\n- VAR: t -> \\text{\\takween{مـنـ}}\n- VAR: d -> \\text{\\takween{مـس}}\n- VAR: \\phi -> \\text{\\takween{مـصـ}}\n\nConvert this:\n\\phi \\supsetneq d = t \\subsetneq \\gamma"
},
{
"role": "assistant",
"content": "\\text{\\takween{موض}} \\subsetneq \\text{\\takween{مـنـ}} = \\text{\\takween{مـس}} \\supsetneq \\text{\\takween{مـصـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 2224
}
|
[
{
"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} 8437.270 -325.081i \\\\ -9303.341 -2577.756i \\\\ -9130.574 -1899.533i \\\\ 360.269 +1300.246i \\\\ 9196.956 +9409.350i \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ت}325.081- 8437.270 \\\\ \\text{ت}2577.756- 9303.341- \\\\ \\text{ت}1899.533- 9130.574- \\\\ \\text{ت}1300.246+ 360.269 \\\\ \\text{ت}9409.350+ 9196.956 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 11292
}
|
[
{
"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{شو}}\n- VAR: \\eta -> \\text{\\takween{ج}}\n- VAR: \\zeta -> \\text{\\takween{دي}}\n- VAR: k -> \\text{\\takween{ثة}}\n- VAR: w -> \\text{\\takween{ظـ}}\n- VAR: b -> \\text{\\takween{شا}}\n- VAR: \\sigma -> \\text{\\takween{فة}}\n- VAR: i -> \\text{\\takween{مـب}}\n- VAR: \\omega -> \\text{\\takween{يو}}\n- VAR: \\zeta -> \\text{\\takween{موظ}}\n- VAR: \\kappa -> \\text{\\takween{ضة}}\n- VAR: w -> \\text{\\takween{نه}}\n- VAR: \\partial -> \\text{\\takween{ض}}\n- VAR: i -> \\text{\\takween{مـفـ}}\n- VAR: n -> \\text{\\takween{بو}}\n- VAR: k -> \\text{\\takween{ضع}}\n- VAR: \\tau -> \\text{\\takween{ته}}\n- VAR: g -> \\text{\\takween{كيم}}\n- VAR: n -> \\text{\\takween{ضي}}\n- VAR: \\kappa -> \\text{\\takween{مـهـ}}\n- VAR: t -> \\text{\\takween{مـهـ}}\n- VAR: f -> \\text{\\takween{خيم}}\n- VAR: \\zeta -> \\text{\\takween{جو}}\n- VAR: h -> \\text{\\takween{غو}}\n- VAR: l -> \\text{\\takween{تة}}\n- VAR: g -> \\text{\\takween{شو}}\n- VAR: \\eta -> \\text{\\takween{ج}}\n- VAR: \\zeta -> \\text{\\takween{دي}}\n- VAR: k -> \\text{\\takween{ثة}}\n- VAR: w -> \\text{\\takween{ظـ}}\n- VAR: b -> \\text{\\takween{شا}}\n- VAR: \\sigma -> \\text{\\takween{فة}}\n- VAR: i -> \\text{\\takween{مـب}}\n- VAR: \\omega -> \\text{\\takween{يو}}\n- VAR: \\zeta -> \\text{\\takween{موظ}}\n- VAR: \\kappa -> \\text{\\takween{ضة}}\n- VAR: w -> \\text{\\takween{نه}}\n- VAR: \\partial -> \\text{\\takween{ض}}\n- VAR: i -> \\text{\\takween{مـفـ}}\n- VAR: n -> \\text{\\takween{بو}}\n- VAR: k -> \\text{\\takween{ضع}}\n- VAR: \\tau -> \\text{\\takween{ته}}\n- VAR: g -> \\text{\\takween{كيم}}\n- VAR: n -> \\text{\\takween{ضي}}\n- VAR: \\kappa -> \\text{\\takween{مـهـ}}\n- VAR: t -> \\text{\\takween{مـهـ}}\n- VAR: f -> \\text{\\takween{خيم}}\n- VAR: \\zeta -> \\text{\\takween{جو}}\n- VAR: h -> \\text{\\takween{غو}}\n- VAR: l -> \\text{\\takween{تة}}\n- FUN: g -> \\text{\\diwani{بة}}\n- FUN: Y -> \\text{\\diwani{مـغ}}\n- FUN: H -> \\text{\\diwani{قه}}\n- FUN: H -> \\text{\\diwani{يو}}\n- FUN: \\tau -> \\text{\\diwani{قم}}\n- FUN: g -> \\text{\\diwani{بة}}\n- FUN: Y -> \\text{\\diwani{مـغ}}\n- FUN: H -> \\text{\\diwani{قه}}\n- FUN: H -> \\text{\\diwani{يو}}\n- FUN: \\tau -> \\text{\\diwani{قم}}\n\nConvert this:\n\\left(\\left(H\\left(\\log_{\\zeta}\\left(-g\\left(g_{257,\\eta,\\zeta}\\right) + 604_{541,w,b,\\sigma}^{k}\\% \\cdot Y\\left(i^{\\omega}\\right)\\right)\\right)\\right)^{\\underset{w}{\\overset{+\\infty}{\\prod}} \\left(\\oiint \\left| -\\tanh\\left(930_{366}\\right) / \\tanh\\left(220_{i}\\right) \\cosh\\left(n_{81}\\right) \\, \\partial \\partial\\right\\}\\right\\}}\\right\\| \\ne \\left[\\prod_{k=-\\infty}^{+\\infty} \\left\\langle\\underset{\\tau=-\\infty}{\\overset{+\\infty}{\\prod}} \\left(-\\csc\\left(\\vec{g}_{513,\\kappa,t}^{n}\\right) - -H\\left(\\mathbf{f}_{447}^{\\zeta}\\right) * \\tau\\left(\\hat{h}\\right) \\times \\cos\\left(925^{l}\\right)\\right|\\right\\|\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\left\\|\\left| \\arabcos{\\prescript{\\text{\\takween{تة}}}{}{{925}}} \\times \\left(\\hat{\\text{\\takween{غو}}}\\right)\\text{\\diwani{قم}} * \\left(\\prescript{\\text{\\takween{جو}}}{{447}}{\\boldarabic{\\text{\\takween{خيم}}}}\\right)\\text{\\diwani{يو}}- - \\arabcsc{\\prescript{\\text{\\takween{ضي}}}{\\text{\\takween{مـهـ}}،\\text{\\takween{مـهـ}}،{513}}{\\arabvec{\\text{\\takween{كيم}}}}}-\\right)\\arabprod{\\infty -=\\text{\\takween{ته}}}{\\infty +}\\right\\rangle\\arabprod{\\infty -=\\text{\\takween{ضع}}}{\\infty +}\\right] \\ne \\left\\|\\prescript{\\left\\{\\left\\{\\text{\\takween{ض}}{\\ad}\\arabcosh{\\prescript{}{{81}}{\\text{\\takween{بو}}}} \\arabtanh{\\prescript{}{\\text{\\takween{مـفـ}}}{{220}}} \\backslash \\arabtanh{\\prescript{}{{366}}{{930}}}-\\right|\\oiint\\right)\\arabprod{\\text{\\takween{نه}}}{\\infty +}}{}{\\left(\\left(\\arablog{\\text{\\takween{موظ}}}{\\left(\\prescript{\\text{\\takween{يو}}}{}{\\text{\\takween{مـب}}}\\right)\\text{\\diwani{مـغ}} \\cdot ٪\\prescript{\\text{\\takween{ثة}}}{\\text{\\takween{فة}}،\\text{\\takween{شا}}،\\text{\\takween{ظـ}}،{541}}{{604}} + \\left(\\prescript{}{\\text{\\takween{دي}}،\\text{\\takween{ج}}،{257}}{\\text{\\takween{شو}}}\\right)\\text{\\diwani{بة}}-}\\right)\\text{\\diwani{قه}}\\right)}\\right)"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 546
}
|
[
{
"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} -9116 & 5933 & 419 & -6693 & -4881 & 4303 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 4303 & 4881- & 6693- & 419 & 5933 & 9116- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 5358
}
|
[
{
"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{ثـ}}\n- VAR: g -> \\text{\\takween{ها}}\n- VAR: \\chi -> \\text{\\takween{ظ}}\n\nConvert this:\n\\chi \\left[ \\partial, g, 386 \\right)=\\left[\\arcsin\\left(194_{386,698}^{386}\\right) \\sec\\left(386_{966,454,541}\\right)\\right\\|"
},
{
"role": "assistant",
"content": "\\left\\|\\arabsec{\\prescript{}{{541}،{454}،{966}}{{386}}} \\arabasin{\\prescript{{386}}{{698}،{386}}{{194}}}\\right]=\\left( {386} ،\\text{\\takween{ها}} ،\\text{\\takween{ثـ}} \\right]\\text{\\takween{ظ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 675
}
|
[
{
"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{مـ}}\n- VAR: a -> \\text{\\takween{\\ad}}\n\nConvert this:\na^{\\left(4\\right)} \\left| \\delta \\right\\}=\\left\\{ \\begin{array}{l} \\log_{\\delta}\\left(\\underset{\\delta \\to 114^-}{\\lim} \\left\\|\\tanh\\left(-\\coth\\left(\\delta_{388,\\delta}\\right) / \\cosh\\left(\\delta_{\\delta,147}\\right)\\right) * \\left(-\\tanh\\left(\\acute{5.82}^{\\delta}\\right)\\right)^{\\cot\\left(\\vec{\\dddot{\\delta}}_{\\delta,\\delta,549}^{165}\\right) / \\sec\\left(\\underline{\\delta}^{115}\\right)}\\right\\}\\right)\\\\\\csc\\left(\\tilde{826.65}_{971,\\delta,362,536}\\right)\\\\\\left(\\left\\{-\\cot\\left(\\vec{960}_{\\delta,82}^{802}\\right) * \\ln\\left(\\delta_{\\delta,858,343}^{842}\\right) \\cdot \\arcsin\\left(\\underline{662}_{\\delta}\\%\\right)\\right.\\right)^{\\underset{-\\infty}{\\overset{315}{\\prod}} \\left\\{-\\ln\\left(\\bar{\\delta}_{\\delta,761,920,\\delta}\\right)\\right\\}} \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\arablog{\\text{\\takween{مـ}}}{\\left\\{ \\prescript{\\arabsec{\\prescript{{115}}{}{\\underline{\\text{\\takween{مـ}}}}} \\backslash \\arabcot{\\prescript{{165}}{{549}،\\text{\\takween{مـ}}،\\text{\\takween{مـ}}}{\\arabvec{\\dddot{\\text{\\takween{مـ}}}}}}}{}{\\left(\\arabtanh{\\prescript{\\text{\\takween{مـ}}}{}{\\acute{{5.82}}}}-\\right)} * \\arabtanh{\\arabcosh{\\prescript{}{{147}،\\text{\\takween{مـ}}}{\\text{\\takween{مـ}}}} \\backslash \\arabcoth{\\prescript{}{\\text{\\takween{مـ}}،{388}}{\\text{\\takween{مـ}}}}-}\\right\\|\\arablim{\\text{\\takween{مـ}}}{{}^{-}{114}}}\\\\\\arabcsc{\\prescript{}{{536}،{362}،\\text{\\takween{مـ}}،{971}}{\\tilde{{826.65}}}}\\\\\\prescript{\\left\\{\\arabnlog{\\prescript{}{\\text{\\takween{مـ}}،{920}،{761}،\\text{\\takween{مـ}}}{\\bar{\\text{\\takween{مـ}}}}}-\\right\\}\\arabprod{\\infty -}{{315}}}{}{\\left(\\left.\\arabasin{٪\\prescript{}{\\text{\\takween{مـ}}}{\\underline{{662}}}} \\cdot \\arabnlog{\\prescript{{842}}{{343}،{858}،\\text{\\takween{مـ}}}{\\text{\\takween{مـ}}}} * \\arabcot{\\prescript{{802}}{{82}،\\text{\\takween{مـ}}}{\\arabvec{{960}}}}-\\right\\}\\right)} \\end{array} \\right\\}=\\left\\{ \\text{\\takween{مـ}} \\right|\\prescript{\\left(4\\right)}{}{\\text{\\takween{\\ad}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 11066
}
|
[
{
"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{مـئ}}\n- VAR: k -> \\text{\\takween{غ}}\n- VAR: \\iota -> \\text{\\takween{ذ}}\n- VAR: s -> \\text{\\takween{د}}\n- VAR: \\epsilon -> \\text{\\takween{مـج}}\n- VAR: a -> \\text{\\takween{نه}}\n- VAR: \\epsilon -> \\text{\\takween{غا}}\n- VAR: \\alpha -> \\text{\\takween{كي}}\n- VAR: \\nu -> \\text{\\takween{سو}}\n\nConvert this:\n\\begin{align*} \\phi && && k \\\\ \\iota && s && \\epsilon \\\\ 675 && a && -698 \\\\ \\epsilon && \\alpha && -\\nu \\\\ \\cdots && \\vdots && 693.21 \\\\ 996 && -22 && 355 \\end{align*}"
},
{
"role": "assistant",
"content": "\\begin{align*} \\text{\\takween{غ}} & & \\text{\\takween{مـئ}} \\\\ \\text{\\takween{مـج}} & \\text{\\takween{د}} & \\text{\\takween{ذ}} \\\\ {698}- & \\text{\\takween{نه}} & {675} \\\\ \\text{\\takween{سو}}- & \\text{\\takween{كي}} & \\text{\\takween{غا}} \\\\ {693.21} & \\vdots & \\cdots \\\\ {355} & {22}- & {996} \\end{align*}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 2907
}
|
[
{
"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{ضأ}}\n- VAR: \\partial -> \\text{\\takween{مي}}\n- VAR: \\theta -> \\text{\\takween{مـف}}\n- VAR: x -> \\text{\\takween{ئا}}\n- FUN: Y -> \\text{\\diwani{له}}\n- FUN: \\psi -> \\text{\\diwani{ضة}}\n\nConvert this:\n\\underset{u=-\\infty}{\\overset{+\\infty}{\\prod}} \\left(\\underset{\\partial \\to \\theta^+}{\\lim} \\left|Y\\left(x\\right) \\psi\\left(564\\right)\\right|\\right\\rangle"
},
{
"role": "assistant",
"content": "\\left\\langle\\left|\\left({564}\\right)\\text{\\diwani{ضة}} \\left(\\text{\\takween{ئا}}\\right)\\text{\\diwani{له}}\\right|\\arablim{\\text{\\takween{مي}}}{{}^{+}\\text{\\takween{مـف}}}\\right)\\arabprod{\\infty -=\\text{\\takween{ضأ}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 3006
}
|
[
{
"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} -2562.304 \\\\ -4462.098 \\\\ 7785.229 \\\\ 2622.686 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 2562.304- \\\\ 4462.098- \\\\ 7785.229 \\\\ 2622.686 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 11684
}
|
[
{
"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{ا}}\n- FUN: \\psi -> \\text{\\diwani{حيم}}\n- FUN: g -> \\text{\\diwani{جة}}\n- FUN: X -> \\text{\\diwani{مـقـ}}\n- FUN: \\omega -> \\text{\\diwani{مـش}}\n- FUN: X -> \\text{\\diwani{فه}}\n- FUN: g -> \\text{\\diwani{وي}}\n- FUN: \\psi -> \\text{\\diwani{مـث}}\n- FUN: f -> \\text{\\diwani{غو}}\n- FUN: H -> \\text{\\diwani{قو}}\n- FUN: Z -> \\text{\\diwani{صم}}\n- FUN: g -> \\text{\\diwani{ئي}}\n- FUN: Y -> \\text{\\diwani{عه}}\n- FUN: X -> \\text{\\diwani{خـ}}\n\nConvert this:\nw^{\\left(1\\right)} \\left[ 550, 3 \\right)=\\left\\{ \\begin{array}{l} X\\left(\\psi\\left(\\vec{\\mathbf{\\overline{3}}}^{34}\\right) * \\arccos\\left(\\vec{\\hat{715}}_{324,261,533}^{613.73}\\right) \\times g\\left(\\widehat{3}_{669,3}^{3}\\right)\\right)\\\\\\log_{708}\\left(\\underset{-\\infty}{\\overset{3}{\\prod}} \\left\\{\\left(X\\left(\\omega\\left(\\widetilde{3}_{3,3,550,0}\\right)\\right)\\right)^{\\underset{-\\infty}{\\overset{+\\infty}{\\sum}} \\left(\\csc\\left(550_{3}\\right) * g\\left(3_{959}^{3}\\right) \\psi\\left(312_{3,3}^{3}\\right)\\right]}\\right|\\right)\\\\\\sqrt[550]{f\\left(\\breve{550}_{550,550,3}^{550}\\right) \\ddot{818}_{282,805,3} \\sqrt[]{H\\left(\\overline{91}_{550,550}^{610}\\right)}}\\\\\\sqrt[]{\\left\\|\\left(\\ln\\left(-Z\\left(\\vec{\\mathbf{550}}_{550}^{93}\\right) \\cdot g\\left(\\underline{468}_{550,221,3}^{995}\\right) + Y\\left(425_{550}^{994.70}\\right)\\right)\\right)^{\\cosh\\left(\\mathbf{\\underline{550}}_{3,942,255}\\right)}\\right]}\\\\-3_{508,482,66,285}^{3} X\\left(522.76\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left(\\left(\\prescript{{3}}{{3}،{669}}{\\widehat{{3}}}\\right)\\text{\\diwani{جة}} \\times \\arabacos{\\prescript{{613.73}}{{533}،{261}،{324}}{\\arabvec{\\hat{{715}}}}} * \\left(\\prescript{{34}}{}{\\arabvec{\\boldarabic{\\overline{{3}}}}}\\right)\\text{\\diwani{حيم}}\\right)\\text{\\diwani{مـقـ}}\\\\\\arablog{{708}}{\\left|\\prescript{\\left[\\left(\\prescript{{3}}{{3}،{3}}{{312}}\\right)\\text{\\diwani{مـث}} \\left(\\prescript{{3}}{{959}}{{3}}\\right)\\text{\\diwani{وي}} * \\arabcsc{\\prescript{}{{3}}{{550}}}\\right)\\arabsum{\\infty -}{\\infty +}}{}{\\left(\\left(\\left(\\prescript{}{{0}،{550}،{3}،{3}}{\\widetilde{{3}}}\\right)\\text{\\diwani{مـش}}\\right)\\text{\\diwani{فه}}\\right)}\\right\\}\\arabprod{\\infty -}{{3}}}\\\\\\arabsqrt{{550}}{ \\arabsqrt{}{\\left(\\prescript{{610}}{{550}،{550}}{\\overline{{91}}}\\right)\\text{\\diwani{قو}}} \\prescript{}{{3}،{805}،{282}}{\\ddot{{818}}} \\left(\\prescript{{550}}{{3}،{550}،{550}}{\\breve{{550}}}\\right)\\text{\\diwani{غو}}}\\\\\\arabsqrt{}{\\left[\\prescript{\\arabcosh{\\prescript{}{{255}،{942}،{3}}{\\boldarabic{\\underline{{550}}}}}}{}{\\left(\\arabnlog{\\left(\\prescript{{994.70}}{{550}}{{425}}\\right)\\text{\\diwani{عه}} + \\left(\\prescript{{995}}{{3}،{221}،{550}}{\\underline{{468}}}\\right)\\text{\\diwani{ئي}} \\cdot \\left(\\prescript{{93}}{{550}}{\\arabvec{\\boldarabic{{550}}}}\\right)\\text{\\diwani{صم}}-}\\right)}\\right\\|}\\\\\\left({522.76}\\right)\\text{\\diwani{خـ}} \\prescript{{3}}{{285}،{66}،{482}،{508}}{{3}}- \\end{array} \\right\\}=\\left( {3} ،{550} \\right]\\prescript{\\left(1\\right)}{}{\\text{\\takween{ا}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 3567
}
|
[
{
"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{با}}\n- VAR: \\chi -> \\text{\\takween{مـك}}\n- VAR: \\nu -> \\text{\\takween{مـظـ}}\n- VAR: \\omicron -> \\text{\\takween{ز}}\n- VAR: \\psi -> \\text{\\takween{مـل}}\n- VAR: \\phi -> \\text{\\takween{ق}}\n- VAR: m -> \\text{\\takween{خ}}\n- VAR: \\sigma -> \\text{\\takween{تيم}}\n\nConvert this:\n\\left|\\left|\\sigma \\in \\phi\\right\\| \\cup m \\notin \\phi \\setminus \\psi \\ni k\\right\\rangle \\triangle \\omicron \\in \\nu = \\chi \\supset a"
},
{
"role": "assistant",
"content": "\\text{\\takween{با}} \\supset \\text{\\takween{مـك}} = \\text{\\takween{مـظـ}} \\in \\text{\\takween{ز}} \\triangle \\left\\langlek \\ni \\text{\\takween{مـل}} \\setminus \\text{\\takween{ق}} \\notin \\text{\\takween{خ}} \\cup \\left\\|\\text{\\takween{ق}} \\in \\text{\\takween{تيم}}\\right|\\right|"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 5500
}
|
[
{
"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{مـش}}\n- VAR: \\psi -> \\text{\\takween{ثي}}\n- VAR: \\epsilon -> \\text{\\takween{ثو}}\n- FUN: \\sigma -> \\text{\\diwani{سه}}\n- FUN: \\sigma -> \\text{\\diwani{مـنـ}}\n- FUN: X -> \\text{\\diwani{مـنـ}}\n- FUN: \\psi -> \\text{\\diwani{كة}}\n- FUN: \\psi -> \\text{\\diwani{مـي}}\n\nConvert this:\n\\epsilon'' \\left[ 942, \\omicron, \\psi \\right] = \\frac{\\partial^{2}\\epsilon}{\\partial \\omicron \\partial \\psi}\\left[ 942, \\omicron, \\psi \\right]=\\left\\{ \\begin{array}{l} \\left(-\\sigma\\left(942_{\\psi}^{438}\\right)\\right)^{-\\csc\\left(\\omicron_{942,\\psi}\\right)}\\\\\\left(\\sqrt[]{\\left(\\sum_{\\omicron}^{138} \\left\\|-\\sin\\left(\\psi_{868,609,942}^{341}\\right)\\right\\}\\right)^{\\lim_{942 \\to \\psi^-} \\left(-\\sigma\\left(\\mathbf{\\omicron}_{451,942,\\psi}^{\\psi}\\right) / \\sinh\\left(\\breve{272}_{521,853}\\right)\\right\\}}}\\right)^{\\iiiint \\sin\\left(\\frac{-\\widehat{412}_{246,288} X\\left(\\hat{\\psi}_{942,\\psi,700,992}^{\\psi}\\right)}{\\ddddot{722}}\\right) \\, \\partial 942}\\\\\\left(\\underset{\\psi \\to +\\infty}{\\lim} \\left(\\underset{942}{\\overset{+\\infty}{\\sum}} \\left(\\frac{-\\coth\\left(\\mathbf{\\dot{826}}_{184}^{805.02}\\right)}{-\\arccos\\left(\\psi_{\\omicron,\\omicron}^{\\psi}\\right)}\\right.\\right\\}\\right)^{\\frac{\\left(\\left\\|\\arctan\\left(989^{942}\\right) + \\arcsin\\left(\\omicron^{\\omicron}\\right)\\right\\|\\right)^{\\underset{942=-\\infty}{\\overset{+\\infty}{\\prod}} \\left\\{-\\csc\\left(\\omicron^{861}\\right)\\right\\rangle}}{\\underset{942=883}{\\overset{+\\infty}{\\sum}} \\left[\\log_{942}\\left(\\psi\\left(\\breve{\\omicron}_{\\omicron,974,\\psi}^{519.27}\\right) \\bullet \\sin\\left(434_{697,\\omicron,457,984}^{\\psi}\\right)\\right)\\right\\|}}\\\\\\underset{\\omicron \\to 140}{\\lim} \\left|\\left\\langle\\left\\langle\\int_{191.05}^{+\\infty} \\sin\\left(\\overline{\\omicron}_{942,942,149}\\right) \\, \\partial \\omicron\\right\\rangle\\right|\\right]\\\\\\underset{-\\infty}{\\overset{+\\infty}{\\prod}} \\left\\|\\underset{942 \\to \\psi^+}{\\lim} \\left(\\psi\\left(\\sqrt[]{\\sin\\left(942_{\\psi,\\psi,343}\\right)}\\right)\\right]\\right\\} \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\prescript{\\arabcsc{\\prescript{}{\\text{\\takween{ثي}}،{942}}{\\text{\\takween{مـش}}}}-}{}{\\left(\\left(\\prescript{{438}}{\\text{\\takween{ثي}}}{{942}}\\right)\\text{\\diwani{سه}}-\\right)}\\\\\\prescript{{942}{\\ad}\\arabsin{\\frac{\\left(\\prescript{\\text{\\takween{ثي}}}{{992}،{700}،\\text{\\takween{ثي}}،{942}}{\\hat{\\text{\\takween{ثي}}}}\\right)\\text{\\diwani{مـنـ}} \\prescript{}{{288}،{246}}{\\widehat{{412}}}-}{\\ddddot{{722}}}}\\iiiint}{}{\\left(\\arabsqrt{}{\\prescript{\\left\\{\\arabsinh{\\prescript{}{{853}،{521}}{\\breve{{272}}}} \\backslash \\left(\\prescript{\\text{\\takween{ثي}}}{\\text{\\takween{ثي}}،{942}،{451}}{\\boldarabic{\\text{\\takween{مـش}}}}\\right)\\text{\\diwani{مـنـ}}-\\right)\\arablim{{942}}{{}^{-}\\text{\\takween{ثي}}}}{}{\\left(\\left\\{\\arabsin{\\prescript{{341}}{{942}،{609}،{868}}{\\text{\\takween{ثي}}}}-\\right\\|\\arabsum{\\text{\\takween{مـش}}}{{138}}\\right)}}\\right)}\\\\\\prescript{\\frac{\\prescript{\\left\\langle\\arabcsc{\\prescript{{861}}{}{\\text{\\takween{مـش}}}}-\\right\\}\\arabprod{\\infty -={942}}{\\infty +}}{}{\\left(\\left\\|\\arabasin{\\prescript{\\text{\\takween{مـش}}}{}{\\text{\\takween{مـش}}}} + \\arabatan{\\prescript{{942}}{}{{989}}}\\right\\|\\right)}}{\\left\\|\\arablog{{942}}{\\arabsin{\\prescript{\\text{\\takween{ثي}}}{{984}،{457}،\\text{\\takween{مـش}}،{697}}{{434}}} \\bullet \\left(\\prescript{{519.27}}{\\text{\\takween{ثي}}،{974}،\\text{\\takween{مـش}}}{\\breve{\\text{\\takween{مـش}}}}\\right)\\text{\\diwani{كة}}}\\right]\\arabsum{{883}={942}}{\\infty +}}}{}{\\left(\\left\\{\\left.\\frac{\\arabcoth{\\prescript{{805.02}}{{184}}{\\boldarabic{\\dot{{826}}}}}-}{\\arabacos{\\prescript{\\text{\\takween{ثي}}}{\\text{\\takween{مـش}}،\\text{\\takween{مـش}}}{\\text{\\takween{ثي}}}}-}\\right)\\arabsum{{942}}{\\infty +}\\right)\\arablim{\\text{\\takween{ثي}}}{\\infty +}\\right)}\\\\\\left[\\left|\\left\\langle\\text{\\takween{مـش}}{\\ad}\\arabsin{\\prescript{}{{149}،{942}،{942}}{\\overline{\\text{\\takween{مـش}}}}}\\arabint{{191.05}}{\\infty +}\\right\\rangle\\right\\rangle\\right|\\arablim{\\text{\\takween{مـش}}}{{140}}\\\\\\left\\{\\left[\\left(\\arabsqrt{}{\\arabsin{\\prescript{}{{343}،\\text{\\takween{ثي}}،\\text{\\takween{ثي}}}{{942}}}}\\right)\\text{\\diwani{مـي}}\\right)\\arablim{{942}}{{}^{+}\\text{\\takween{ثي}}}\\right\\|\\arabprod{\\infty -}{\\infty +} \\end{array} \\right\\}=\\left[ \\text{\\takween{ثي}} ،\\text{\\takween{مـش}} ،{942} \\right]\\frac{\\prescript{2}{}{\\text{\\takween{ثو}}}\\ad}{\\text{\\takween{ثي}}\\ad \\text{\\takween{مـش}}\\ad} = \\left[ \\text{\\takween{ثي}} ،\\text{\\takween{مـش}} ،{942} \\right]``\\!\\!\\text{\\takween{ثو}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 10084
}
|
[
{
"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{ثيم}}\n- VAR: i -> \\text{\\takween{طة}}\n- VAR: n -> \\text{\\takween{ته}}\n- VAR: m -> \\text{\\takween{ئـ}}\n- VAR: w -> \\text{\\takween{ثيم}}\n- VAR: \\epsilon -> \\text{\\takween{خ}}\n- VAR: \\phi -> \\text{\\takween{شو}}\n- VAR: d -> \\text{\\takween{سة}}\n\nConvert this:\n\\left\\|\\left[d \\notin \\phi\\right) \\triangle \\left[\\epsilon \\notin w\\right)\\right\\| \\cup \\left\\|m \\supset n\\right\\| = i \\not\\ni \\tau"
},
{
"role": "assistant",
"content": "\\text{\\takween{ثيم}} \\not\\ni \\text{\\takween{طة}} = \\left\\|\\text{\\takween{ته}} \\supset \\text{\\takween{ئـ}}\\right\\| \\cup \\left\\|\\left(\\text{\\takween{ثيم}} \\notin \\text{\\takween{خ}}\\right] \\triangle \\left(\\text{\\takween{شو}} \\notin \\text{\\takween{سة}}\\right]\\right\\|"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 8037
}
|
[
{
"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: m -> \\text{\\takween{ية}}\n- VAR: l -> \\text{\\takween{موش}}\n- VAR: \\zeta -> \\text{\\takween{ا}}\n- VAR: u -> \\text{\\takween{مـص}}\n- VAR: k -> \\text{\\takween{فه}}\n- VAR: v -> \\text{\\takween{مـضـ}}\n- VAR: e -> \\text{\\takween{صا}}\n- VAR: k -> \\text{\\takween{صو}}\n- VAR: \\theta -> \\text{\\takween{قي}}\n- VAR: \\delta -> \\text{\\takween{موض}}\n- VAR: \\psi -> \\text{\\takween{مـعـ}}\n- VAR: v -> \\text{\\takween{كي}}\n- VAR: \\eta -> \\text{\\takween{ئـ}}\n- VAR: c -> \\text{\\takween{موش}}\n- VAR: t -> \\text{\\takween{صة}}\n- FUN: \\omega -> \\text{\\diwani{ه}}\n\nConvert this:\n\\log_{t}\\left(\\frac{\\left(\\coth\\left(\\bar{m}_{\\zeta,235,u}^{l}\\right) - \\omega\\left(k_{144}^{203}\\right)\\right)}{\\lim_{v \\to +\\infty} \\left|456.06_{k,235}^{e} \\cosh\\left(\\bar{\\theta}_{138,\\delta,\\psi}\\right) + \\cot\\left(\\mathbf{275}_{v,686,\\eta,674}^{189.94}\\%\\right) \\arccos\\left(c\\right)\\right\\}}\\right)"
},
{
"role": "assistant",
"content": "\\arablog{\\text{\\takween{صة}}}{\\frac{\\left(\\left(\\prescript{{203}}{{144}}{\\text{\\takween{فه}}}\\right)\\text{\\diwani{ه}} - \\arabcoth{\\prescript{\\text{\\takween{موش}}}{\\text{\\takween{مـص}}،{235}،\\text{\\takween{ا}}}{\\bar{\\text{\\takween{ية}}}}}\\right)}{\\left\\{\\arabacos{\\text{\\takween{موش}}} \\arabcot{٪\\prescript{{189.94}}{{674}،\\text{\\takween{ئـ}}،{686}،\\text{\\takween{كي}}}{\\boldarabic{{275}}}} + \\arabcosh{\\prescript{}{\\text{\\takween{مـعـ}}،\\text{\\takween{موض}}،{138}}{\\bar{\\text{\\takween{قي}}}}} \\prescript{\\text{\\takween{صا}}}{{235}،\\text{\\takween{صو}}}{{456.06}}\\right|\\arablim{\\text{\\takween{مـضـ}}}{\\infty +}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 7865
}
|
[
{
"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} 2225 & 8230 & 4843 & 3367 & 8460 & 7726 \\end{bmatrix} \\in \\mathbb{N}^6"
},
{
"role": "assistant",
"content": "\\prescript{6}{}{\\arabN} \\in \\begin{bmatrix} 7726 & 8460 & 3367 & 4843 & 8230 & 2225 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 1113
}
|
[
{
"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: n -> \\text{\\takween{شيم}}\n- VAR: \\beta -> \\text{\\takween{ه}}\n- VAR: r -> \\text{\\takween{مـفـ}}\n- VAR: z -> \\text{\\takween{غو}}\n- VAR: r -> \\text{\\takween{فم}}\n- VAR: o -> \\text{\\takween{ديم}}\n- VAR: \\sigma -> \\text{\\takween{ضة}}\n- VAR: \\omega -> \\text{\\takween{طه}}\n- VAR: n -> \\text{\\takween{شيم}}\n- VAR: \\beta -> \\text{\\takween{ه}}\n- VAR: r -> \\text{\\takween{مـفـ}}\n- VAR: z -> \\text{\\takween{غو}}\n- VAR: r -> \\text{\\takween{فم}}\n- VAR: o -> \\text{\\takween{ديم}}\n- VAR: \\sigma -> \\text{\\takween{ضة}}\n- VAR: \\omega -> \\text{\\takween{طه}}\n- FUN: h -> \\text{\\diwani{صي}}\n- FUN: \\omega -> \\text{\\diwani{تة}}\n- FUN: g -> \\text{\\diwani{مـغـ}}\n- FUN: H -> \\text{\\diwani{مـخ}}\n- FUN: h -> \\text{\\diwani{صي}}\n- FUN: \\omega -> \\text{\\diwani{تة}}\n- FUN: g -> \\text{\\diwani{مـغـ}}\n- FUN: H -> \\text{\\diwani{مـخ}}\n\nConvert this:\n\\omega\\left(\\sqrt[]{\\sin\\left(-h\\left(\\grave{114}_{479,691,n,593}\\%\\right)\\right)}\\right) \\ne \\frac{\\underset{\\beta \\to +\\infty}{\\lim} \\left\\|\\int_{z}^{+\\infty} \\left[ g\\left(\\vec{\\check{427}}_{735,404}^{599.15}\\right) \\, \\partial r\\right\\}\\right\\|}{\\prod_{-\\infty}^{36} \\left\\{\\log_{\\omega}\\left(-H\\left(o_{238,\\sigma}\\right)\\right)\\right|}"
},
{
"role": "assistant",
"content": "\\frac{\\left\\|\\left\\{\\text{\\takween{مـفـ}}{\\ad}\\left(\\prescript{{599.15}}{{404}،{735}}{\\arabvec{\\check{{427}}}}\\right)\\text{\\diwani{مـغـ}}\\right]\\arabint{\\text{\\takween{غو}}}{\\infty +}\\right\\|\\arablim{\\text{\\takween{ه}}}{\\infty +}}{\\left|\\arablog{\\text{\\takween{طه}}}{\\left(\\prescript{}{\\text{\\takween{ضة}}،{238}}{\\text{\\takween{ديم}}}\\right)\\text{\\diwani{مـخ}}-}\\right\\}\\arabprod{\\infty -}{{36}}} \\ne \\left(\\arabsqrt{}{\\arabsin{\\left(٪\\prescript{}{{593}،\\text{\\takween{شيم}}،{691}،{479}}{\\grave{{114}}}\\right)\\text{\\diwani{صي}}-}}\\right)\\text{\\diwani{تة}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 556
}
|
[
{
"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{مه}}\n- VAR: u -> \\text{\\takween{مـكـ}}\n- VAR: \\phi -> \\text{\\takween{مـفـ}}\n\nConvert this:\n\\begin{array}{c} d \\\\ u \\\\ \\exp\\left(\\vec{\\mathbf{\\phi}}\\right) \\\\ -478.98 \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{c} \\text{\\takween{مه}} \\\\ \\text{\\takween{مـكـ}} \\\\ \\arabexp{\\arabvec{\\boldarabic{\\text{\\takween{مـفـ}}}}} \\\\ {478.98}- \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 243
}
|
[
{
"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{مـه}}\n- VAR: d -> \\text{\\takween{سه}}\n\nConvert this:\nd'' \\left\\{ d, 882, 141 \\right] = \\frac{\\partial^{2}d}{\\partial d^{2}}\\left\\{ d, 882, 141 \\right]=\\underset{141 \\to 917}{\\lim} \\left\\{\\underset{d}{\\overset{+\\infty}{\\sum}} \\left(\\lim_{141 \\to +\\infty} \\left[\\cos\\left(\\tilde{882}^{d}\\right) \\arccos\\left(d_{882,d,496}^{d}\\right)\\right)\\right\\}\\right|"
},
{
"role": "assistant",
"content": "\\left|\\left\\{\\left(\\arabacos{\\prescript{\\text{\\takween{مـه}}}{{496}،\\text{\\takween{مـه}}،{882}}{\\text{\\takween{مـه}}}} \\arabcos{\\prescript{\\text{\\takween{مـه}}}{}{\\tilde{{882}}}}\\right]\\arablim{{141}}{\\infty +}\\right)\\arabsum{\\text{\\takween{مـه}}}{\\infty +}\\right\\}\\arablim{{141}}{{917}}=\\left[ {141} ،{882} ،\\text{\\takween{مـه}} \\right\\}\\frac{\\prescript{2}{}{\\text{\\takween{سه}}}\\ad}{\\prescript{2}{}{\\text{\\takween{مـه}}}\\ad} = \\left[ {141} ،{882} ،\\text{\\takween{مـه}} \\right\\}``\\!\\!\\text{\\takween{سه}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 367
}
|
[
{
"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{مـي}}\n- VAR: p -> \\text{\\takween{قم}}\n- VAR: \\iota -> \\text{\\takween{مـتـ}}\n- FUN: H -> \\text{\\diwani{مـغـ}}\n- FUN: h -> \\text{\\diwani{مـسـ}}\n- FUN: \\omega -> \\text{\\diwani{ما}}\n- FUN: Z -> \\text{\\diwani{مـضـ}}\n- FUN: \\chi -> \\text{\\diwani{مـلـ}}\n- FUN: H -> \\text{\\diwani{ضع}}\n- FUN: g -> \\text{\\diwani{ص}}\n- FUN: \\psi -> \\text{\\diwani{مـغـ}}\n- FUN: Z -> \\text{\\diwani{جي}}\n\nConvert this:\n\\iota^{\\left(6\\right)} \\left[ \\eta, p, 14.61 \\right\\} = \\frac{\\partial^{6}\\iota}{\\partial \\eta^{5} \\partial p}\\left[ \\eta, p, 14.61 \\right\\}=\\left\\{ \\begin{array}{l} \\oiiint \\left\\{ \\underset{p=-\\infty}{\\overset{14.61}{\\prod}} \\left\\{H\\left(\\mathbf{219}_{336,899,616}\\right) + \\sec\\left(993_{398,332,899,844}^{775.86}\\right) h\\left(997.58_{14.61,p,150,684}\\right) \\cdot -\\tanh\\left(\\vec{\\check{522}}_{14.61,\\eta,\\eta}\\right) / \\omega\\left(302^{930}\\right) \\times \\coth\\left(p_{p,231,p}\\right) - \\vec{\\ddddot{651}}_{10}^{\\eta}\\right) \\, \\partial p\\right)\\\\\\sum_{\\eta=-\\infty}^{14.61} \\left\\{\\left\\langle\\tan\\left(\\eta_{14.61,472}^{7}\\right) \\times Z\\left(\\widetilde{145}_{p,362,\\eta,p}^{670}\\right) / \\chi\\left(14.61_{14.61}\\right)\\right\\|\\right)\\\\\\log_{p}\\left(-H\\left(\\tilde{14.61}_{\\eta,\\eta,584,346}\\%\\right)\\right)\\\\\\frac{\\psi\\left(\\log_{273}\\left(g\\left(\\vec{\\eta}_{14.61,14.61,p}\\right) \\bullet \\ddddot{749.10}_{p}^{334.43}\\right)\\right)}{\\sqrt[631]{\\lim_{\\eta \\to +\\infty} \\left|14.61_{14.61,\\eta,14.61} - \\breve{14.61}_{\\eta,0}\\right\\|}}\\\\Z\\left(\\tilde{706}_{14.61,940,14.61,14.61}\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left(\\text{\\takween{قم}}{\\ad}\\left( \\prescript{\\text{\\takween{مـي}}}{{10}}{\\arabvec{\\ddddot{{651}}}} - \\arabcoth{\\prescript{}{\\text{\\takween{قم}}،{231}،\\text{\\takween{قم}}}{\\text{\\takween{قم}}}} \\times \\left(\\prescript{{930}}{}{{302}}\\right)\\text{\\diwani{ما}} \\backslash \\arabtanh{\\prescript{}{\\text{\\takween{مـي}}،\\text{\\takween{مـي}}،{14.61}}{\\arabvec{\\check{{522}}}}}- \\cdot \\left(\\prescript{}{{684}،{150}،\\text{\\takween{قم}}،{14.61}}{{997.58}}\\right)\\text{\\diwani{مـسـ}} \\arabsec{\\prescript{{775.86}}{{844}،{899}،{332}،{398}}{{993}}} + \\left(\\prescript{}{{616}،{899}،{336}}{\\boldarabic{{219}}}\\right)\\text{\\diwani{مـغـ}}\\right\\}\\arabprod{\\infty -=\\text{\\takween{قم}}}{{14.61}}\\right\\}\\oiiint\\\\\\left(\\left\\|\\left(\\prescript{}{{14.61}}{{14.61}}\\right)\\text{\\diwani{مـلـ}} \\backslash \\left(\\prescript{{670}}{\\text{\\takween{قم}}،\\text{\\takween{مـي}}،{362}،\\text{\\takween{قم}}}{\\widetilde{{145}}}\\right)\\text{\\diwani{مـضـ}} \\times \\arabtan{\\prescript{{7}}{{472}،{14.61}}{\\text{\\takween{مـي}}}}\\right\\rangle\\right\\}\\arabsum{\\infty -=\\text{\\takween{مـي}}}{{14.61}}\\\\\\arablog{\\text{\\takween{قم}}}{\\left(٪\\prescript{}{{346}،{584}،\\text{\\takween{مـي}}،\\text{\\takween{مـي}}}{\\tilde{{14.61}}}\\right)\\text{\\diwani{ضع}}-}\\\\\\frac{\\left(\\arablog{{273}}{\\prescript{{334.43}}{\\text{\\takween{قم}}}{\\ddddot{{749.10}}} \\bullet \\left(\\prescript{}{\\text{\\takween{قم}}،{14.61}،{14.61}}{\\arabvec{\\text{\\takween{مـي}}}}\\right)\\text{\\diwani{ص}}}\\right)\\text{\\diwani{مـغـ}}}{\\arabsqrt{{631}}{\\left\\|\\prescript{}{{0}،\\text{\\takween{مـي}}}{\\breve{{14.61}}} - \\prescript{}{{14.61}،\\text{\\takween{مـي}}،{14.61}}{{14.61}}\\right|\\arablim{\\text{\\takween{مـي}}}{\\infty +}}}\\\\\\left(\\prescript{}{{14.61}،{14.61}،{940}،{14.61}}{\\tilde{{706}}}\\right)\\text{\\diwani{جي}} \\end{array} \\right\\}=\\left\\{ {14.61} ،\\text{\\takween{قم}} ،\\text{\\takween{مـي}} \\right]\\frac{\\prescript{6}{}{\\text{\\takween{مـتـ}}}\\ad}{\\text{\\takween{قم}}\\ad \\prescript{5}{}{\\text{\\takween{مـي}}}\\ad} = \\left\\{ {14.61} ،\\text{\\takween{قم}} ،\\text{\\takween{مـي}} \\right]\\prescript{\\left(6\\right)}{}{\\text{\\takween{مـتـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 14472
}
|
[
{
"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{فو}}\n\nConvert this:\n\\begin{array}{lcr} -455 & \\vdots & 106 \\\\ 125 & 100 & k \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{rcl} {106} & \\vdots & {455}- \\\\ \\text{\\takween{فو}} & {100} & {125} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 14408
}
|
[
{
"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{فم}}\n- VAR: \\theta -> \\text{\\takween{ذ}}\n- VAR: j -> \\text{\\takween{مـن}}\n- VAR: \\tau -> \\text{\\takween{ي}}\n- FUN: X -> \\text{\\diwani{مـسـ}}\n- FUN: H -> \\text{\\diwani{يا}}\n- FUN: Y -> \\text{\\diwani{تا}}\n- FUN: \\tau -> \\text{\\diwani{صة}}\n- FUN: G -> \\text{\\diwani{شه}}\n\nConvert this:\n\\tau^{\\left(6\\right)} \\left\\langle t, \\theta, j \\right\\rangle=\\begin{bmatrix} \\tanh\\left(\\theta_{770,t}\\right)\\\\\\sqrt[t]{\\left(-\\tanh\\left(\\hat{j}_{t,319,\\theta,3}^{\\theta}\\right) X\\left(501_{j,j}^{659}\\right)\\right)^{-H\\left(\\bar{\\theta}_{499,267}^{t}\\right) Y\\left(262_{t,681,762,\\theta}\\right)}}\\\\\\left[\\lim_{j \\to +\\infty} \\left\\|\\prod_{\\theta=-\\infty}^{\\theta} \\left\\{\\oiint -\\tau\\left(\\mathbf{434}_{\\theta}\\right) \\, \\partial t\\right\\rangle\\right]\\right\\}\\\\\\lim_{\\theta \\to 179^+} \\left[\\left(\\sum_{\\theta=-\\infty}^{\\theta} \\left\\|\\sec\\left(\\mathbf{347}^{j}\\right)\\right)\\right)^{\\left(\\sec\\left(\\ddot{t}_{\\theta,128,j,\\theta}^{\\theta}\\right)\\right)^{-G\\left(\\grave{0.23}_{767,\\theta,t}\\right)}}\\right\\} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\arabtanh{\\prescript{}{\\text{\\takween{فم}}،{770}}{\\text{\\takween{ذ}}}}\\\\\\arabsqrt{\\text{\\takween{فم}}}{\\prescript{\\left(\\prescript{}{\\text{\\takween{ذ}}،{762}،{681}،\\text{\\takween{فم}}}{{262}}\\right)\\text{\\diwani{تا}} \\left(\\prescript{\\text{\\takween{فم}}}{{267}،{499}}{\\bar{\\text{\\takween{ذ}}}}\\right)\\text{\\diwani{يا}}-}{}{\\left(\\left(\\prescript{{659}}{\\text{\\takween{مـن}}،\\text{\\takween{مـن}}}{{501}}\\right)\\text{\\diwani{مـسـ}} \\arabtanh{\\prescript{\\text{\\takween{ذ}}}{{3}،\\text{\\takween{ذ}}،{319}،\\text{\\takween{فم}}}{\\hat{\\text{\\takween{مـن}}}}}-\\right)}}\\\\\\left\\{\\left[\\left\\langle\\text{\\takween{فم}}{\\ad}\\left(\\prescript{}{\\text{\\takween{ذ}}}{\\boldarabic{{434}}}\\right)\\text{\\diwani{صة}}-\\oiint\\right\\}\\arabprod{\\infty -=\\text{\\takween{ذ}}}{\\text{\\takween{ذ}}}\\right\\|\\arablim{\\text{\\takween{مـن}}}{\\infty +}\\right]\\\\\\left\\{\\prescript{\\prescript{\\left(\\prescript{}{\\text{\\takween{فم}}،\\text{\\takween{ذ}}،{767}}{\\grave{{0.23}}}\\right)\\text{\\diwani{شه}}-}{}{\\left(\\arabsec{\\prescript{\\text{\\takween{ذ}}}{\\text{\\takween{ذ}}،\\text{\\takween{مـن}}،{128}،\\text{\\takween{ذ}}}{\\ddot{\\text{\\takween{فم}}}}}\\right)}}{}{\\left(\\left(\\arabsec{\\prescript{\\text{\\takween{مـن}}}{}{\\boldarabic{{347}}}}\\right\\|\\arabsum{\\infty -=\\text{\\takween{ذ}}}{\\text{\\takween{ذ}}}\\right)}\\right]\\arablim{\\text{\\takween{ذ}}}{{}^{+}{179}} \\end{bmatrix}=\\left\\langle \\text{\\takween{مـن}} ،\\text{\\takween{ذ}} ،\\text{\\takween{فم}} \\right\\rangle\\prescript{\\left(6\\right)}{}{\\text{\\takween{ي}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 11755
}
|
[
{
"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{مـظـ}}\n- VAR: \\tau -> \\text{\\takween{ثا}}\n- VAR: k -> \\text{\\takween{مـط}}\n- VAR: p -> \\text{\\takween{مـهـ}}\n- VAR: l -> \\text{\\takween{مـئـ}}\n- VAR: \\gamma -> \\text{\\takween{مـئـ}}\n- VAR: y -> \\text{\\takween{مـضـ}}\n- VAR: \\theta -> \\text{\\takween{بـ}}\n\nConvert this:\n\\theta \\supseteq y = \\left\\|\\gamma \\ni l\\right\\} \\triangle \\left\\|p \\notin k \\cap \\tau \\subseteq \\epsilon\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\text{\\takween{مـظـ}} \\subseteq \\text{\\takween{ثا}} \\cap \\text{\\takween{مـط}} \\notin \\text{\\takween{مـهـ}}\\right\\| \\triangle \\left\\{\\text{\\takween{مـئـ}} \\ni \\text{\\takween{مـئـ}}\\right\\| = \\text{\\takween{مـضـ}} \\supseteq \\text{\\takween{بـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 2519
}
|
[
{
"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{مـت}}\n- VAR: p -> \\text{\\takween{ح}}\n- VAR: b -> \\text{\\takween{مـخـ}}\n- VAR: j -> \\text{\\takween{كو}}\n- VAR: \\lambda -> \\text{\\takween{سه}}\n- VAR: t -> \\text{\\takween{ظيم}}\n\nConvert this:\nt \\notin \\lambda = \\left\\langlej \\supset b\\right\\} \\triangle \\left\\langlep \\ni \\partial\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\text{\\takween{مـت}} \\ni \\text{\\takween{ح}}\\right\\rangle \\triangle \\left\\{\\text{\\takween{مـخـ}} \\supset \\text{\\takween{كو}}\\right\\rangle = \\text{\\takween{سه}} \\notin \\text{\\takween{ظيم}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 14269
}
|
[
{
"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: m -> \\text{\\takween{خا}}\n- VAR: \\chi -> \\text{\\takween{عي}}\n- VAR: h -> \\text{\\takween{بم}}\n- VAR: \\kappa -> \\text{\\takween{مـكـ}}\n\nConvert this:\n\\kappa \\notin h = \\chi \\ni m"
},
{
"role": "assistant",
"content": "\\text{\\takween{خا}} \\ni \\text{\\takween{عي}} = \\text{\\takween{بم}} \\notin \\text{\\takween{مـكـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 7584
}
|
[
{
"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{موئ}}\n- VAR: i -> \\text{\\takween{مـفـ}}\n- VAR: \\chi -> \\text{\\takween{ها}}\n- VAR: s -> \\text{\\takween{ب}}\n- VAR: f -> \\text{\\takween{عة}}\n- VAR: \\chi -> \\text{\\takween{سم}}\n- VAR: l -> \\text{\\takween{مـفـ}}\n- FUN: F -> \\text{\\diwani{شة}}\n\nConvert this:\n\\left(\\underset{-\\infty}{\\overset{+\\infty}{\\prod}} \\left(-\\bar{i}_{435}^{\\chi}\\right\\}\\right] + \\int_{l}^{134} F\\left(\\tanh\\left(\\overline{141.20}_{324,468,f,\\chi}^{510.37}\\right)\\right) \\, \\partial s"
},
{
"role": "assistant",
"content": " \\text{\\takween{ب}}{\\ad}\\left(\\arabtanh{\\prescript{{510.37}}{\\text{\\takween{سم}}،\\text{\\takween{عة}}،{468}،{324}}{\\overline{{141.20}}}}\\right)\\text{\\diwani{شة}}\\arabint{\\text{\\takween{مـفـ}}}{{134}} + \\left[\\left\\{\\prescript{\\text{\\takween{ها}}}{{435}}{\\bar{\\text{\\takween{مـفـ}}}}-\\right)\\arabprod{\\infty -}{\\infty +}\\right)"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 534
}
|
[
{
"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: y -> \\text{\\takween{بة}}\n- VAR: g -> \\text{\\takween{مـعـ}}\n- VAR: k -> \\text{\\takween{خيم}}\n- VAR: j -> \\text{\\takween{زيم}}\n- VAR: o -> \\text{\\takween{مـظـ}}\n- VAR: \\eta -> \\text{\\takween{جو}}\n- VAR: q -> \\text{\\takween{ثا}}\n- VAR: \\nu -> \\text{\\takween{كه}}\n- VAR: k -> \\text{\\takween{نه}}\n- VAR: \\omega -> \\text{\\takween{نو}}\n- VAR: \\phi -> \\text{\\takween{مـغ}}\n- VAR: \\tau -> \\text{\\takween{مـيـ}}\n- VAR: \\phi -> \\text{\\takween{شا}}\n- VAR: \\lambda -> \\text{\\takween{شة}}\n- VAR: \\partial -> \\text{\\takween{مـئـ}}\n- VAR: x -> \\text{\\takween{س}}\n- VAR: \\mu -> \\text{\\takween{ثا}}\n- VAR: b -> \\text{\\takween{مـجـ}}\n- VAR: \\gamma -> \\text{\\takween{مـئـ}}\n- FUN: F -> \\text{\\diwani{ها}}\n- FUN: Y -> \\text{\\diwani{مـهـ}}\n- FUN: \\phi -> \\text{\\diwani{موط}}\n\nConvert this:\n\\frac{\\sqrt[]{\\left(\\log_{537}\\left(F\\left(\\vec{\\tilde{y}}_{778,g,120,889}^{80.50}\\right)\\right)\\right)}}{\\log_{\\gamma}\\left(\\left(\\log_{\\nu}\\left(-Y\\left(\\mathbf{k}_{69,985,671}^{216}\\right) \\times \\coth\\left(\\vec{j}_{281}\\right) \\bullet \\cot\\left(o_{372,433,\\eta,q}^{556}\\right)\\right)\\right)^{\\phi\\left(-393_{k}^{836} * \\cot\\left(981_{\\phi}^{\\omega}\\right) \\ln\\left(\\tau_{\\phi,\\lambda,\\partial,x}\\right) \\tanh\\left(\\mu_{904,299,b}\\right)\\right)}\\right)}"
},
{
"role": "assistant",
"content": "\\frac{\\arabsqrt{}{\\left(\\arablog{{537}}{\\left(\\prescript{{80.50}}{{889}،{120}،\\text{\\takween{مـعـ}}،{778}}{\\arabvec{\\tilde{\\text{\\takween{بة}}}}}\\right)\\text{\\diwani{ها}}}\\right)}}{\\arablog{\\text{\\takween{مـئـ}}}{\\prescript{\\left(\\arabtanh{\\prescript{}{\\text{\\takween{مـجـ}}،{299}،{904}}{\\text{\\takween{ثا}}}} \\arabnlog{\\prescript{}{\\text{\\takween{س}}،\\text{\\takween{مـئـ}}،\\text{\\takween{شة}}،\\text{\\takween{شا}}}{\\text{\\takween{مـيـ}}}} \\arabcot{\\prescript{\\text{\\takween{نو}}}{\\text{\\takween{مـغ}}}{{981}}} * \\prescript{{836}}{\\text{\\takween{نه}}}{{393}}-\\right)\\text{\\diwani{موط}}}{}{\\left(\\arablog{\\text{\\takween{كه}}}{\\arabcot{\\prescript{{556}}{\\text{\\takween{ثا}}،\\text{\\takween{جو}}،{433}،{372}}{\\text{\\takween{مـظـ}}}} \\bullet \\arabcoth{\\prescript{}{{281}}{\\arabvec{\\text{\\takween{زيم}}}}} \\times \\left(\\prescript{{216}}{{671}،{985}،{69}}{\\boldarabic{\\text{\\takween{خيم}}}}\\right)\\text{\\diwani{مـهـ}}-}\\right)}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 4423
}
|
[
{
"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{سا}}\n- VAR: \\tau -> \\text{\\takween{ق}}\n- VAR: \\nu -> \\text{\\takween{جة}}\n- VAR: y -> \\text{\\takween{ئا}}\n- VAR: \\zeta -> \\text{\\takween{مـلـ}}\n- VAR: \\psi -> \\text{\\takween{هي}}\n- VAR: \\alpha -> \\text{\\takween{زي}}\n- VAR: \\xi -> \\text{\\takween{يو}}\n- VAR: i -> \\text{\\takween{ظه}}\n- VAR: \\partial -> \\text{\\takween{سة}}\n- VAR: h -> \\text{\\takween{حي}}\n- VAR: v -> \\text{\\takween{غة}}\n- VAR: f -> \\text{\\takween{قا}}\n- VAR: \\rho -> \\text{\\takween{ب}}\n- VAR: \\omega -> \\text{\\takween{مـغـ}}\n- VAR: m -> \\text{\\takween{حـ}}\n\nConvert this:\n\\left\\|\\left\\{m \\in \\epsilon \\cap \\rho \\ni g\\right\\rangle \\cap \\left\\{h \\nsubseteq \\omega\\right\\| \\triangle \\left\\{\\rho \\subseteq i\\right\\|\\right\\rangle \\triangle \\left\\|\\psi \\nsubseteq h\\right\\rangle \\setminus \\left\\|\\zeta \\nsubseteq i\\right\\rangle = f \\subset v \\setminus \\left(v \\supsetneq \\partial\\right) \\setminus \\left(h \\nsubseteq \\partial\\right| \\cup \\left(i \\not\\ni \\psi\\right| \\cap \\left(\\xi \\ni \\alpha \\cap \\left[\\psi \\notin \\zeta\\right\\| \\cup \\left\\langley \\supsetneq t\\right\\rangle \\triangle \\left\\langle\\nu \\in \\tau\\right\\rangle\\right] \\cup \\left(\\epsilon \\notin \\epsilon\\right]"
},
{
"role": "assistant",
"content": "\\left[\\text{\\takween{سا}} \\notin \\text{\\takween{سا}}\\right) \\cup \\left[\\left\\langle\\text{\\takween{ق}} \\in \\text{\\takween{جة}}\\right\\rangle \\triangle \\left\\langlet \\supsetneq \\text{\\takween{ئا}}\\right\\rangle \\cup \\left\\|\\text{\\takween{مـلـ}} \\notin \\text{\\takween{هي}}\\right] \\cap \\text{\\takween{زي}} \\ni \\text{\\takween{يو}}\\right) \\cap \\left|\\text{\\takween{هي}} \\not\\ni \\text{\\takween{ظه}}\\right) \\cup \\left|\\text{\\takween{سة}} \\nsubseteq \\text{\\takween{حي}}\\right) \\setminus \\left(\\text{\\takween{سة}} \\supsetneq \\text{\\takween{غة}}\\right) \\setminus \\text{\\takween{غة}} \\subset \\text{\\takween{قا}} = \\left\\langlei \\nsubseteq \\text{\\takween{مـلـ}}\\right\\| \\setminus \\left\\langleh \\nsubseteq \\text{\\takween{هي}}\\right\\| \\triangle \\left\\langle\\left\\|\\text{\\takween{ظه}} \\subseteq \\text{\\takween{ب}}\\right\\} \\triangle \\left\\|\\text{\\takween{مـغـ}} \\nsubseteq \\text{\\takween{حي}}\\right\\} \\cap \\left\\langleg \\ni \\text{\\takween{ب}} \\cap \\text{\\takween{سا}} \\in \\text{\\takween{حـ}}\\right\\}\\right\\|"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 1653
}
|
[
{
"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} -2487 & -9259 & -7635 & 1478 & -296 & 913 \\\\ 6272 & 3680 & 1526 & -471 & 8647 & 7515 \\\\ 790 & 7151 & 3705 & 1137 & 9029 & -159 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 913 & 296- & 1478 & 7635- & 9259- & 2487- \\\\ 7515 & 8647 & 471- & 1526 & 3680 & 6272 \\\\ 159- & 9029 & 1137 & 3705 & 7151 & 790 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 2862
}
|
[
{
"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{مـظـ}}\n- VAR: k -> \\text{\\takween{موع}}\n- VAR: \\psi -> \\text{\\takween{صو}}\n- VAR: \\phi -> \\text{\\takween{كو}}\n- VAR: a -> \\text{\\takween{ثه}}\n- VAR: \\phi -> \\text{\\takween{مـي}}\n- VAR: b -> \\text{\\takween{شو}}\n- VAR: \\delta -> \\text{\\takween{شا}}\n- VAR: \\phi -> \\text{\\takween{هيم}}\n- VAR: \\omega -> \\text{\\takween{غا}}\n- VAR: \\epsilon -> \\text{\\takween{غه}}\n- VAR: \\zeta -> \\text{\\takween{مـطـ}}\n- VAR: \\omicron -> \\text{\\takween{موظ}}\n- VAR: \\phi -> \\text{\\takween{مـلـ}}\n- VAR: a -> \\text{\\takween{صه}}\n- VAR: \\kappa -> \\text{\\takween{عو}}\n- VAR: \\lambda -> \\text{\\takween{مـث}}\n- VAR: \\xi -> \\text{\\takween{ئ}}\n- FUN: \\tau -> \\text{\\diwani{مـنـ}}\n- FUN: h -> \\text{\\diwani{نو}}\n\nConvert this:\n\\left(\\sqrt[]{\\tau\\left(\\underline{o}_{\\psi,\\phi,a}^{k}\\right) \\cos\\left(\\mathbf{\\grave{\\phi}}_{506}^{793}\\right) \\tan\\left(858_{\\delta,506,\\phi,\\omega}^{b}\\right) \\times \\sin\\left(\\epsilon_{\\zeta,377}\\right)}\\right)^{\\sqrt[\\xi]{-h\\left(\\widetilde{\\omicron}\\right) \\times \\cot\\left(\\mathbf{\\phi}_{a,\\kappa,\\lambda,384}\\right)}}"
},
{
"role": "assistant",
"content": "\\prescript{\\arabsqrt{\\text{\\takween{ئ}}}{\\arabcot{\\prescript{}{{384}،\\text{\\takween{مـث}}،\\text{\\takween{عو}}،\\text{\\takween{صه}}}{\\boldarabic{\\text{\\takween{مـلـ}}}}} \\times \\left(\\widetilde{\\text{\\takween{موظ}}}\\right)\\text{\\diwani{نو}}-}}{}{\\left(\\arabsqrt{}{\\arabsin{\\prescript{}{{377}،\\text{\\takween{مـطـ}}}{\\text{\\takween{غه}}}} \\times \\arabtan{\\prescript{\\text{\\takween{شو}}}{\\text{\\takween{غا}}،\\text{\\takween{هيم}}،{506}،\\text{\\takween{شا}}}{{858}}} \\arabcos{\\prescript{{793}}{{506}}{\\boldarabic{\\grave{\\text{\\takween{مـي}}}}}} \\left(\\prescript{\\text{\\takween{موع}}}{\\text{\\takween{ثه}}،\\text{\\takween{كو}}،\\text{\\takween{صو}}}{\\underline{\\text{\\takween{مـظـ}}}}\\right)\\text{\\diwani{مـنـ}}}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 10658
}
|
[
{
"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} -9864 & -3030 & -5121 & -8693 & -9034 & 4357 \\\\ -2068 & 7399 & 6702 & -251 & -6274 & -5435 \\\\ 3537 & -9578 & -1127 & 2938 & 645 & 422 \\\\ -9885 & -7949 & -4737 & -5644 & 6278 & 6435 \\\\ 5532 & -4761 & 1311 & 8966 & 2980 & 2274 \\\\ 4897 & -3425 & 599 & -2399 & 6444 & -3480 \\end{bmatrix} \\in \\mathbb{Z}^\\left(6 \\times 6\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(6 \\times 6\\right)}{}{\\arabZ} \\in \\begin{bmatrix} 4357 & 9034- & 8693- & 5121- & 3030- & 9864- \\\\ 5435- & 6274- & 251- & 6702 & 7399 & 2068- \\\\ 422 & 645 & 2938 & 1127- & 9578- & 3537 \\\\ 6435 & 6278 & 5644- & 4737- & 7949- & 9885- \\\\ 2274 & 2980 & 8966 & 1311 & 4761- & 5532 \\\\ 3480- & 6444 & 2399- & 599 & 3425- & 4897 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 3272
}
|
[
{
"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{7665}{5775} & \\frac{3714}{9549} \\\\ \\frac{2093}{-980} & \\frac{8499}{3062} \\\\ \\frac{-2764}{8666} & \\frac{-9082}{-8771} \\\\ \\frac{-4302}{-8178} & \\frac{1184}{4815} \\\\ \\frac{2629}{7920} & \\frac{7531}{5740} \\\\ \\frac{-1358}{9691} & \\frac{-6046}{9773} \\end{bmatrix} \\in \\mathbb{Q}^\\left(6 \\times 2\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(2 \\times 6\\right)}{}{\\arabQ} \\in \\begin{bmatrix} \\frac{3714}{9549} & \\frac{7665}{5775} \\\\ \\frac{8499}{3062} & \\frac{2093}{980-} \\\\ \\frac{9082-}{8771-} & \\frac{2764-}{8666} \\\\ \\frac{1184}{4815} & \\frac{4302-}{8178-} \\\\ \\frac{7531}{5740} & \\frac{2629}{7920} \\\\ \\frac{6046-}{9773} & \\frac{1358-}{9691} \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 8718
}
|
[
{
"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: \\psi -> \\text{\\takween{خه}}\n- VAR: u -> \\text{\\takween{مـحـ}}\n- VAR: \\psi -> \\text{\\takween{تي}}\n- VAR: q -> \\text{\\takween{بو}}\n\nConvert this:\n\\begin{align*} 359 &\\geq& -\\psi &\\geq& -\\mathbf{u}_{\\psi,531} &\\geq& \\ddots &\\geq& -q \\\\ -264.37 &\\geq& \\cdots &\\geq& &\\geq& 62 &\\geq& 749 \\end{align*}"
},
{
"role": "assistant",
"content": "\\begin{align*} \\text{\\takween{بو}}- & \\ddots & \\prescript{}{{531}،\\text{\\takween{تي}}}{\\boldarabic{\\text{\\takween{مـحـ}}}}- & \\text{\\takween{خه}}- & {359} \\\\ {749} & {62} & & \\cdots & {264.37}- \\end{align*}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 9223
}
|
[
{
"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: \\gamma -> \\text{\\takween{مـكـ}}\n- FUN: f -> \\text{\\diwani{صو}}\n\nConvert this:\n-f\\left(827_{330,\\gamma}\\right)"
},
{
"role": "assistant",
"content": "\\left(\\prescript{}{\\text{\\takween{مـكـ}}،{330}}{{827}}\\right)\\text{\\diwani{صو}}-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 5082
}
|
[
{
"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{ظـ}}\n- VAR: l -> \\text{\\takween{ه}}\n- VAR: \\theta -> \\text{\\takween{مـشـ}}\n- VAR: u -> \\text{\\takween{كه}}\n- VAR: \\psi -> \\text{\\takween{مـه}}\n- VAR: z -> \\text{\\takween{مة}}\n- VAR: \\epsilon -> \\text{\\takween{مـكـ}}\n- VAR: \\lambda -> \\text{\\takween{عو}}\n- VAR: a -> \\text{\\takween{سم}}\n- VAR: x -> \\text{\\takween{خة}}\n- VAR: h -> \\text{\\takween{مـثـ}}\n- VAR: h -> \\text{\\takween{بو}}\n- VAR: a -> \\text{\\takween{يم}}\n- VAR: \\delta -> \\text{\\takween{ظـ}}\n- VAR: l -> \\text{\\takween{ه}}\n- VAR: \\theta -> \\text{\\takween{مـشـ}}\n- VAR: u -> \\text{\\takween{كه}}\n- VAR: \\psi -> \\text{\\takween{مـه}}\n- VAR: z -> \\text{\\takween{مة}}\n- VAR: \\epsilon -> \\text{\\takween{مـكـ}}\n- VAR: \\lambda -> \\text{\\takween{عو}}\n- VAR: a -> \\text{\\takween{سم}}\n- VAR: x -> \\text{\\takween{خة}}\n- VAR: h -> \\text{\\takween{مـثـ}}\n- VAR: h -> \\text{\\takween{بو}}\n- VAR: a -> \\text{\\takween{يم}}\n- FUN: \\tau -> \\text{\\diwani{نة}}\n- FUN: \\psi -> \\text{\\diwani{في}}\n- FUN: Z -> \\text{\\diwani{مـظـ}}\n- FUN: \\psi -> \\text{\\diwani{مـن}}\n- FUN: H -> \\text{\\diwani{مـيـ}}\n- FUN: f -> \\text{\\diwani{مـنـ}}\n- FUN: \\tau -> \\text{\\diwani{نة}}\n- FUN: \\psi -> \\text{\\diwani{في}}\n- FUN: Z -> \\text{\\diwani{مـظـ}}\n- FUN: \\psi -> \\text{\\diwani{مـن}}\n- FUN: H -> \\text{\\diwani{مـيـ}}\n- FUN: f -> \\text{\\diwani{مـنـ}}\n\nConvert this:\n\\tau\\left(\\vec{\\delta}_{l,\\theta,u}\\right) \\psi\\left(192_{587}^{\\psi}\\right) \\cdot \\mathbf{\\widehat{788.84}}_{485,z}^{873} \\cdot Z\\left(\\vec{\\overline{\\epsilon}}_{181}\\right) \\geq \\lim_{\\lambda \\to +\\infty} \\left[\\arcsin\\left(\\vec{417.81}^{420}\\right) * \\psi\\left(\\vec{a}_{756}^{x}\\right) / H\\left(h^{h}\\right) \\times f\\left(521_{a,662,51}^{764}\\%\\right)\\right\\|"
},
{
"role": "assistant",
"content": "\\left\\| \\left(٪\\prescript{{764}}{{51}،{662}،\\text{\\takween{يم}}}{{521}}\\right)\\text{\\diwani{مـنـ}} \\times \\left(\\prescript{\\text{\\takween{بو}}}{}{\\text{\\takween{مـثـ}}}\\right)\\text{\\diwani{مـيـ}} / \\left(\\prescript{\\text{\\takween{خة}}}{{756}}{\\arabvec{\\text{\\takween{سم}}}}\\right)\\text{\\diwani{مـن}} * \\arabasin{\\prescript{{420}}{}{\\arabvec{{417.81}}}}\\right]\\arablim{\\text{\\takween{عو}}}{\\infty +} \\geq \\left(\\prescript{}{{181}}{\\arabvec{\\overline{\\text{\\takween{مـكـ}}}}}\\right)\\text{\\diwani{مـظـ}} \\cdot \\prescript{{873}}{\\text{\\takween{مة}}،{485}}{\\boldarabic{\\widehat{{788.84}}}} \\cdot \\left(\\prescript{\\text{\\takween{مـه}}}{{587}}{{192}}\\right)\\text{\\diwani{في}} \\left(\\prescript{}{\\text{\\takween{كه}}،\\text{\\takween{مـشـ}}،\\text{\\takween{ه}}}{\\arabvec{\\text{\\takween{ظـ}}}}\\right)\\text{\\diwani{نة}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 10836
}
|
[
{
"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{-4226}{3250} & \\frac{8348}{-9196} & \\frac{-2532}{9998} & \\frac{2531}{-5400} & \\frac{-254}{136} \\\\ \\frac{-9554}{6175} & \\frac{817}{-1601} & \\frac{-429}{2123} & \\frac{1305}{1988} & \\frac{4020}{-4004} \\\\ \\frac{837}{-2143} & \\frac{-2641}{-4971} & \\frac{-8398}{-27} & \\frac{-5011}{-5217} & \\frac{666}{2106} \\\\ \\frac{1843}{8556} & \\frac{-5863}{-643} & \\frac{3719}{-3108} & \\frac{-6728}{-1826} & \\frac{-3867}{7917} \\\\ \\frac{6768}{-9622} & \\frac{5839}{9734} & \\frac{1641}{-3633} & \\frac{-3645}{-7667} & \\frac{8795}{5420} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\frac{254-}{136} & \\frac{2531}{5400-} & \\frac{2532-}{9998} & \\frac{8348}{9196-} & \\frac{4226-}{3250} \\\\ \\frac{4020}{4004-} & \\frac{1305}{1988} & \\frac{429-}{2123} & \\frac{817}{1601-} & \\frac{9554-}{6175} \\\\ \\frac{666}{2106} & \\frac{5011-}{5217-} & \\frac{8398-}{27-} & \\frac{2641-}{4971-} & \\frac{837}{2143-} \\\\ \\frac{3867-}{7917} & \\frac{6728-}{1826-} & \\frac{3719}{3108-} & \\frac{5863-}{643-} & \\frac{1843}{8556} \\\\ \\frac{8795}{5420} & \\frac{3645-}{7667-} & \\frac{1641}{3633-} & \\frac{5839}{9734} & \\frac{6768}{9622-} \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 9902
}
|
[
{
"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{ط}}\n- VAR: q -> \\text{\\takween{هـ}}\n- VAR: t -> \\text{\\takween{ه}}\n- VAR: \\lambda -> \\text{\\takween{موث}}\n- VAR: c -> \\text{\\takween{ضه}}\n- VAR: \\kappa -> \\text{\\takween{جم}}\n- VAR: s -> \\text{\\takween{مـفـ}}\n- VAR: \\phi -> \\text{\\takween{موط}}\n- VAR: e -> \\text{\\takween{كة}}\n- VAR: y -> \\text{\\takween{هي}}\n- VAR: x -> \\text{\\takween{مـفـ}}\n- VAR: a -> \\text{\\takween{كم}}\n- VAR: \\tau -> \\text{\\takween{بـ}}\n- VAR: l -> \\text{\\takween{قي}}\n\nConvert this:\n\\lambda \\subsetneq l = \\tau \\in a \\cap \\left\\{\\left[x \\ni y\\right| \\cup \\left[\\left(e \\in e\\right\\| \\setminus \\phi \\nsubseteq s\\right| \\setminus \\left\\langle\\kappa \\not\\ni c\\right] \\triangle \\lambda \\not\\ni t \\cup q \\in i\\right)"
},
{
"role": "assistant",
"content": "\\left(\\text{\\takween{ط}} \\in \\text{\\takween{هـ}} \\cup \\text{\\takween{ه}} \\not\\ni \\text{\\takween{موث}} \\triangle \\left[\\text{\\takween{ضه}} \\not\\ni \\text{\\takween{جم}}\\right\\rangle \\setminus \\left|\\text{\\takween{مـفـ}} \\nsubseteq \\text{\\takween{موط}} \\setminus \\left\\|\\text{\\takween{كة}} \\in \\text{\\takween{كة}}\\right)\\right] \\cup \\left|\\text{\\takween{هي}} \\ni \\text{\\takween{مـفـ}}\\right]\\right\\} \\cap \\text{\\takween{كم}} \\in \\text{\\takween{بـ}} = \\text{\\takween{قي}} \\subsetneq \\text{\\takween{موث}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 14526
}
|
[
{
"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{ديم}}\n- VAR: \\gamma -> \\text{\\takween{مـئـ}}\n- FUN: \\psi -> \\text{\\diwani{طة}}\n\nConvert this:\n\\sum_{i=-\\infty}^{+\\infty} \\left\\{\\psi\\left(600_{\\gamma,274}\\right)\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\left(\\prescript{}{{274}،\\text{\\takween{مـئـ}}}{{600}}\\right)\\text{\\diwani{طة}}\\right\\}\\arabsum{\\infty -=\\text{\\takween{ديم}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 1532
}
|
[
{
"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: \\gamma -> \\text{\\takween{و}}\n- VAR: y -> \\text{\\takween{مـج}}\n- VAR: \\chi -> \\text{\\takween{ظ}}\n- VAR: f -> \\text{\\takween{ش}}\n- VAR: \\gamma -> \\text{\\takween{ظه}}\n- VAR: v -> \\text{\\takween{طه}}\n- VAR: \\alpha -> \\text{\\takween{مـبـ}}\n- VAR: \\delta -> \\text{\\takween{صي}}\n- VAR: \\nu -> \\text{\\takween{غه}}\n\nConvert this:\n\\begin{matrix} & 94 & -542 & 532 \\\\ 984 & -\\gamma & y & 456 \\\\ 855 & -\\chi & f & \\gamma \\\\ 687 & v & 273 & -539 \\\\ -\\alpha & -722 & \\delta & \\nu \\end{matrix}"
},
{
"role": "assistant",
"content": "\\begin{matrix} {532} & {542}- & {94} & \\\\ {456} & \\text{\\takween{مـج}} & \\text{\\takween{و}}- & {984} \\\\ \\text{\\takween{ظه}} & \\text{\\takween{ش}} & \\text{\\takween{ظ}}- & {855} \\\\ {539}- & {273} & \\text{\\takween{طه}} & {687} \\\\ \\text{\\takween{غه}} & \\text{\\takween{صي}} & {722}- & \\text{\\takween{مـبـ}}- \\end{matrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 9835
}
|
[
{
"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{ئه}}\n- VAR: n -> \\text{\\takween{يم}}\n- VAR: \\epsilon -> \\text{\\takween{ثـ}}\n- FUN: \\sigma -> \\text{\\diwani{ط}}\n- FUN: \\omega -> \\text{\\diwani{ثة}}\n\nConvert this:\n\\epsilon^{\\left(4\\right)} \\left\\| 919, k, n, 382 \\right]=\\left\\{ \\begin{array}{l} \\cot\\left(441_{382,k,189,325}\\right) + \\exp\\left(\\ddddot{919}_{702,382,919,492}\\right)\\\\\\sqrt[60.56]{\\left\\|\\left(\\sigma\\left(\\dot{4}_{112,661}^{256}\\right)\\right)^{-\\omega\\left(k_{908,k}^{940}\\right)}\\right\\}} * \\underset{382=382}{\\overset{+\\infty}{\\sum}} \\left(\\prod_{382=-\\infty}^{+\\infty} \\left\\langle\\tan\\left(\\mathbf{382}_{564,382,436,919}^{534} \\times \\ln\\left(\\vec{k}_{576,k}\\right) * \\arcsin\\left(981_{470}\\%\\right)\\right)\\right|\\right\\|\\\\\\underset{382 \\to +\\infty}{\\lim} \\left[-\\exp\\left(218_{33,n}^{382}\\right)\\right] \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\arabexp{\\prescript{}{{492}،{919}،{382}،{702}}{\\ddddot{{919}}}} + \\arabcot{\\prescript{}{{325}،{189}،\\text{\\takween{ئه}}،{382}}{{441}}}\\\\ \\left\\|\\left|\\arabtan{\\arabasin{٪\\prescript{}{{470}}{{981}}} * \\arabnlog{\\prescript{}{\\text{\\takween{ئه}}،{576}}{\\arabvec{\\text{\\takween{ئه}}}}} \\times \\prescript{{534}}{{919}،{436}،{382}،{564}}{\\boldarabic{{382}}}}\\right\\rangle\\arabprod{\\infty -={382}}{\\infty +}\\right)\\arabsum{{382}={382}}{\\infty +} * \\arabsqrt{{60.56}}{\\left\\{\\prescript{\\left(\\prescript{{940}}{\\text{\\takween{ئه}}،{908}}{\\text{\\takween{ئه}}}\\right)\\text{\\diwani{ثة}}-}{}{\\left(\\left(\\prescript{{256}}{{661}،{112}}{\\dot{{4}}}\\right)\\text{\\diwani{ط}}\\right)}\\right\\|}\\\\\\left[\\arabexp{\\prescript{{382}}{\\text{\\takween{يم}}،{33}}{{218}}}-\\right]\\arablim{{382}}{\\infty +} \\end{array} \\right\\}=\\left[ {382} ،\\text{\\takween{يم}} ،\\text{\\takween{ئه}} ،{919} \\right\\|\\prescript{\\left(4\\right)}{}{\\text{\\takween{ثـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 2301
}
|
[
{
"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{مـك}}\n- VAR: \\lambda -> \\text{\\takween{ه}}\n- VAR: \\epsilon -> \\text{\\takween{جو}}\n- VAR: d -> \\text{\\takween{ز}}\n- VAR: \\partial -> \\text{\\takween{قي}}\n- VAR: k -> \\text{\\takween{غي}}\n- VAR: \\xi -> \\text{\\takween{مـتـ}}\n- VAR: a -> \\text{\\takween{موس}}\n- VAR: i -> \\text{\\takween{مـسـ}}\n- VAR: \\lambda -> \\text{\\takween{مـقـ}}\n- VAR: p -> \\text{\\takween{يا}}\n- VAR: d -> \\text{\\takween{مـك}}\n- VAR: \\lambda -> \\text{\\takween{ه}}\n- VAR: \\epsilon -> \\text{\\takween{جو}}\n- VAR: d -> \\text{\\takween{ز}}\n- VAR: \\partial -> \\text{\\takween{قي}}\n- VAR: k -> \\text{\\takween{غي}}\n- VAR: \\xi -> \\text{\\takween{مـتـ}}\n- VAR: a -> \\text{\\takween{موس}}\n- VAR: i -> \\text{\\takween{مـسـ}}\n- VAR: \\lambda -> \\text{\\takween{مـقـ}}\n- VAR: p -> \\text{\\takween{يا}}\n- FUN: Y -> \\text{\\diwani{طي}}\n- FUN: Z -> \\text{\\diwani{هة}}\n- FUN: Z -> \\text{\\diwani{شو}}\n- FUN: Y -> \\text{\\diwani{طي}}\n- FUN: Z -> \\text{\\diwani{هة}}\n- FUN: Z -> \\text{\\diwani{شو}}\n\nConvert this:\n-\\sinh\\left(\\vec{168.91}_{398,155,d}^{509}\\right) \\times \\lambda_{687}^{627} \\approx \\int \\underset{d=-\\infty}{\\overset{612.92}{\\sum}} \\left[\\left(\\partial * Y\\left(\\ddot{524}\\right)\\right)^{-\\arccos\\left(\\mathbf{k}_{\\xi,573,a}^{501}\\right) Z\\left(\\bar{577}_{975,i,507,\\lambda}\\right) \\bullet Z\\left(\\vec{31}_{p,381,581}^{889}\\right)}\\right\\} \\, \\partial \\epsilon"
},
{
"role": "assistant",
"content": "\\text{\\takween{جو}}{\\ad}\\left\\{\\prescript{\\left(\\prescript{{889}}{{581}،{381}،\\text{\\takween{يا}}}{\\arabvec{{31}}}\\right)\\text{\\diwani{شو}} \\bullet \\left(\\prescript{}{\\text{\\takween{مـقـ}}،{507}،\\text{\\takween{مـسـ}}،{975}}{\\bar{{577}}}\\right)\\text{\\diwani{هة}} \\arabacos{\\prescript{{501}}{\\text{\\takween{موس}}،{573}،\\text{\\takween{مـتـ}}}{\\boldarabic{\\text{\\takween{غي}}}}}-}{}{\\left(\\left(\\ddot{{524}}\\right)\\text{\\diwani{طي}} * \\text{\\takween{قي}}\\right)}\\right]\\arabsum{\\infty -=\\text{\\takween{ز}}}{{612.92}}\\int \\approx \\prescript{{627}}{{687}}{\\text{\\takween{ه}}} \\times \\arabsinh{\\prescript{{509}}{\\text{\\takween{مـك}}،{155}،{398}}{\\arabvec{{168.91}}}}-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 14873
}
|
[
{
"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{ك}}\n- VAR: \\lambda -> \\text{\\takween{ليم}}\n- VAR: d -> \\text{\\takween{ما}}\n- VAR: \\chi -> \\text{\\takween{وي}}\n- VAR: g -> \\text{\\takween{عا}}\n- VAR: a -> \\text{\\takween{ريم}}\n- VAR: \\gamma -> \\text{\\takween{ئ}}\n\nConvert this:\nd \\not\\ni \\gamma = \\left\\langlea \\subset g\\right) \\triangle \\chi \\in d \\cap \\lambda \\ni x"
},
{
"role": "assistant",
"content": "\\text{\\takween{ك}} \\ni \\text{\\takween{ليم}} \\cap \\text{\\takween{ما}} \\in \\text{\\takween{وي}} \\triangle \\left(\\text{\\takween{عا}} \\subset \\text{\\takween{ريم}}\\right\\rangle = \\text{\\takween{ئ}} \\not\\ni \\text{\\takween{ما}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 10382
}
|
[
{
"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{ليم}}\n- VAR: n -> \\text{\\takween{جة}}\n- VAR: \\epsilon -> \\text{\\takween{ز}}\n- VAR: \\delta -> \\text{\\takween{كيم}}\n- VAR: u -> \\text{\\takween{مـحـ}}\n- VAR: i -> \\text{\\takween{ضو}}\n- VAR: k -> \\text{\\takween{يو}}\n- VAR: l -> \\text{\\takween{تو}}\n- VAR: \\psi -> \\text{\\takween{لم}}\n- VAR: q -> \\text{\\takween{نه}}\n- VAR: q -> \\text{\\takween{مـئ}}\n- VAR: r -> \\text{\\takween{ليم}}\n- VAR: n -> \\text{\\takween{جة}}\n- VAR: \\epsilon -> \\text{\\takween{ز}}\n- VAR: \\delta -> \\text{\\takween{كيم}}\n- VAR: u -> \\text{\\takween{مـحـ}}\n- VAR: i -> \\text{\\takween{ضو}}\n- VAR: k -> \\text{\\takween{يو}}\n- VAR: l -> \\text{\\takween{تو}}\n- VAR: \\psi -> \\text{\\takween{لم}}\n- VAR: q -> \\text{\\takween{نه}}\n- VAR: q -> \\text{\\takween{مـئ}}\n- FUN: F -> \\text{\\diwani{طه}}\n- FUN: F -> \\text{\\diwani{حي}}\n- FUN: Z -> \\text{\\diwani{مـثـ}}\n- FUN: F -> \\text{\\diwani{طه}}\n- FUN: F -> \\text{\\diwani{حي}}\n- FUN: Z -> \\text{\\diwani{مـثـ}}\n\nConvert this:\n\\sec\\left(r_{n,\\epsilon,556,663}^{239}\\right) - F\\left(\\delta_{u,874,202,285}\\right) \\equiv \\left(\\log_{51}\\left(F\\left(\\mathbf{i}\\right)\\right)\\right)^{\\frac{\\cosh\\left(k_{270,l,\\psi,q}^{501}\\right)}{-Z\\left(\\breve{q}_{621}\\right)}}"
},
{
"role": "assistant",
"content": "\\prescript{\\frac{\\arabcosh{\\prescript{{501}}{\\text{\\takween{نه}}،\\text{\\takween{لم}}،\\text{\\takween{تو}}،{270}}{\\text{\\takween{يو}}}}}{\\left(\\prescript{}{{621}}{\\breve{\\text{\\takween{مـئ}}}}\\right)\\text{\\diwani{مـثـ}}-}}{}{\\left(\\arablog{{51}}{\\left(\\boldarabic{\\text{\\takween{ضو}}}\\right)\\text{\\diwani{حي}}}\\right)} \\equiv \\left(\\prescript{}{{285}،{202}،{874}،\\text{\\takween{مـحـ}}}{\\text{\\takween{كيم}}}\\right)\\text{\\diwani{طه}} - \\arabsec{\\prescript{{239}}{{663}،{556}،\\text{\\takween{ز}}،\\text{\\takween{جة}}}{\\text{\\takween{ليم}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 6127
}
|
[
{
"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{سا}}\n- VAR: \\phi -> \\text{\\takween{ق}}\n- VAR: c -> \\text{\\takween{مـث}}\n- VAR: w -> \\text{\\takween{ه}}\n- VAR: n -> \\text{\\takween{تا}}\n- VAR: d -> \\text{\\takween{قي}}\n- VAR: \\iota -> \\text{\\takween{مـطـ}}\n- VAR: \\zeta -> \\text{\\takween{نـ}}\n- VAR: \\theta -> \\text{\\takween{سو}}\n- VAR: \\theta -> \\text{\\takween{زي}}\n- VAR: \\chi -> \\text{\\takween{خه}}\n- VAR: x -> \\text{\\takween{سا}}\n- VAR: \\phi -> \\text{\\takween{ق}}\n- VAR: c -> \\text{\\takween{مـث}}\n- VAR: w -> \\text{\\takween{ه}}\n- VAR: n -> \\text{\\takween{تا}}\n- VAR: d -> \\text{\\takween{قي}}\n- VAR: \\iota -> \\text{\\takween{مـطـ}}\n- VAR: \\zeta -> \\text{\\takween{نـ}}\n- VAR: \\theta -> \\text{\\takween{سو}}\n- VAR: \\theta -> \\text{\\takween{زي}}\n- VAR: \\chi -> \\text{\\takween{خه}}\n- FUN: \\chi -> \\text{\\diwani{خـ}}\n- FUN: \\tau -> \\text{\\diwani{عه}}\n- FUN: \\chi -> \\text{\\diwani{خـ}}\n- FUN: \\tau -> \\text{\\diwani{عه}}\n\nConvert this:\n\\prod_{\\phi}^{457} \\left\\langle\\log_{25}\\left(\\left|\\left[-\\chi\\left(\\mathbf{c}_{w,0}^{105.71}\\right)\\right]\\right)\\right)\\right\\rangle \\geq \\left|-\\coth\\left(n^{388}\\right) - \\tau\\left(d_{\\iota,\\zeta,394}\\right) * \\theta_{\\chi}^{\\theta}\\right]"
},
{
"role": "assistant",
"content": "\\left[\\prescript{\\text{\\takween{زي}}}{\\text{\\takween{خه}}}{\\text{\\takween{سو}}} * \\left(\\prescript{}{{394}،\\text{\\takween{نـ}}،\\text{\\takween{مـطـ}}}{\\text{\\takween{قي}}}\\right)\\text{\\diwani{عه}} - \\arabcoth{\\prescript{{388}}{}{\\text{\\takween{تا}}}}-\\right| \\geq \\left\\langle\\arablog{{25}}{\\left(\\left[\\left(\\prescript{{105.71}}{{0}،\\text{\\takween{ه}}}{\\boldarabic{\\text{\\takween{مـث}}}}\\right)\\text{\\diwani{خـ}}-\\right]\\right|}\\right\\rangle\\arabprod{\\text{\\takween{ق}}}{{457}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 9368
}
|
[
{
"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{خيم}}\n- VAR: \\theta -> \\text{\\takween{مـج}}\n- VAR: \\kappa -> \\text{\\takween{في}}\n- VAR: y -> \\text{\\takween{خو}}\n- VAR: f -> \\text{\\takween{مـقـ}}\n- VAR: \\rho -> \\text{\\takween{مـي}}\n- VAR: t -> \\text{\\takween{هه}}\n- VAR: \\lambda -> \\text{\\takween{تو}}\n- VAR: \\delta -> \\text{\\takween{شه}}\n- VAR: i -> \\text{\\takween{مـغـ}}\n- VAR: \\sigma -> \\text{\\takween{حه}}\n- VAR: w -> \\text{\\takween{ها}}\n- VAR: h -> \\text{\\takween{غ}}\n- VAR: a -> \\text{\\takween{ته}}\n- VAR: \\tau -> \\text{\\takween{ق}}\n\nConvert this:\n\\left\\|\\kappa \\supsetneq q\\right\\rangle \\cup \\tau \\ni a \\cap \\left\\{h \\ni w\\right. \\cap \\left|\\sigma \\in \\theta\\right\\rangle \\setminus \\left[\\left\\{\\left\\{\\lambda \\supsetneq i\\right) \\cup \\left\\{\\delta \\in \\lambda\\right)\\right\\rangle \\setminus \\left\\{t \\subset k \\triangle \\left\\langlek \\nsupseteq \\rho\\right] \\setminus \\left\\{f \\subset \\kappa \\triangle y \\supseteq \\kappa\\right)\\right\\rangle\\right) = \\theta \\supseteq k"
},
{
"role": "assistant",
"content": "\\text{\\takween{خيم}} \\supseteq \\text{\\takween{مـج}} = \\left(\\left\\langle\\left(\\text{\\takween{في}} \\supseteq \\text{\\takween{خو}} \\triangle \\text{\\takween{في}} \\subset \\text{\\takween{مـقـ}}\\right\\} \\setminus \\left[\\text{\\takween{مـي}} \\nsupseteq \\text{\\takween{خيم}}\\right\\rangle \\triangle \\text{\\takween{خيم}} \\subset \\text{\\takween{هه}}\\right\\} \\setminus \\left\\langle\\left(\\text{\\takween{تو}} \\in \\text{\\takween{شه}}\\right\\} \\cup \\left(\\text{\\takween{مـغـ}} \\supsetneq \\text{\\takween{تو}}\\right\\}\\right\\}\\right] \\setminus \\left\\langle\\text{\\takween{مـج}} \\in \\text{\\takween{حه}}\\right| \\cap \\left.\\text{\\takween{ها}} \\ni \\text{\\takween{غ}}\\right\\} \\cap \\text{\\takween{ته}} \\ni \\text{\\takween{ق}} \\cup \\left\\langleq \\supsetneq \\text{\\takween{في}}\\right\\|"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 6883
}
|
[
{
"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{ليم}}\n- VAR: x -> \\text{\\takween{عة}}\n- VAR: p -> \\text{\\takween{مـئ}}\n- FUN: h -> \\text{\\diwani{ضع}}\n- FUN: X -> \\text{\\diwani{مـكـ}}\n- FUN: \\omega -> \\text{\\diwani{يي}}\n- FUN: \\tau -> \\text{\\diwani{جم}}\n\nConvert this:\np^{\\left(6\\right)} \\left\\langle t, x \\right)=\\begin{bmatrix} \\sqrt[]{\\sqrt[t]{-h\\left(\\vec{493}_{t,536,157}\\right)}}\\\\\\frac{\\underset{x \\to +\\infty}{\\lim} \\left[X\\left(\\sqrt[]{-\\tan\\left(\\underline{145.67}_{t,x,268}\\right)}\\right)\\right\\|}{\\lim_{t \\to x^-} \\left[\\underset{x \\to +\\infty}{\\lim} \\left\\|\\prod_{t=x}^{+\\infty} \\left\\{\\omega\\left(975\\right)\\right\\rangle\\right\\|\\right\\rangle}\\\\\\log_{t}\\left(\\left\\{\\underset{x=-\\infty}{\\overset{601.11}{\\prod}} \\left\\langle\\underset{t=-\\infty}{\\overset{+\\infty}{\\prod}} \\left\\{-\\tau\\left(567_{254,t,x,359}\\right) / t \\sin\\left(x\\right) \\cdot \\cot\\left(x^{t}\\right)\\right)\\right]\\right]\\right)\\\\\\log_{t}\\left(-\\vec{\\mathbf{838}}_{445,x,t}^{238}\\right) \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\arabsqrt{}{\\arabsqrt{\\text{\\takween{ليم}}}{\\left(\\prescript{}{{157}،{536}،\\text{\\takween{ليم}}}{\\arabvec{{493}}}\\right)\\text{\\diwani{ضع}}-}}\\\\\\frac{\\left\\|\\left(\\arabsqrt{}{\\arabtan{\\prescript{}{{268}،\\text{\\takween{عة}}،\\text{\\takween{ليم}}}{\\underline{{145.67}}}}-}\\right)\\text{\\diwani{مـكـ}}\\right]\\arablim{\\text{\\takween{عة}}}{\\infty +}}{\\left\\langle\\left\\|\\left\\langle\\left({975}\\right)\\text{\\diwani{يي}}\\right\\}\\arabprod{\\text{\\takween{عة}}=\\text{\\takween{ليم}}}{\\infty +}\\right\\|\\arablim{\\text{\\takween{عة}}}{\\infty +}\\right]\\arablim{\\text{\\takween{ليم}}}{{}^{-}\\text{\\takween{عة}}}}\\\\\\arablog{\\text{\\takween{ليم}}}{\\left[\\left[\\left(\\arabcot{\\prescript{\\text{\\takween{ليم}}}{}{\\text{\\takween{عة}}}} \\cdot \\arabsin{\\text{\\takween{عة}}} \\text{\\takween{ليم}} \\backslash \\left(\\prescript{}{{359}،\\text{\\takween{عة}}،\\text{\\takween{ليم}}،{254}}{{567}}\\right)\\text{\\diwani{جم}}-\\right\\}\\arabprod{\\infty -=\\text{\\takween{ليم}}}{\\infty +}\\right\\rangle\\arabprod{\\infty -=\\text{\\takween{عة}}}{{601.11}}\\right\\}}\\\\\\arablog{\\text{\\takween{ليم}}}{\\prescript{{238}}{\\text{\\takween{ليم}}،\\text{\\takween{عة}}،{445}}{\\arabvec{\\boldarabic{{838}}}}-} \\end{bmatrix}=\\left( \\text{\\takween{عة}} ،\\text{\\takween{ليم}} \\right\\rangle\\prescript{\\left(6\\right)}{}{\\text{\\takween{مـئ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 11776
}
|
[
{
"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: m -> \\text{\\takween{تيم}}\n- VAR: \\gamma -> \\text{\\takween{غيم}}\n- VAR: \\omicron -> \\text{\\takween{خا}}\n- VAR: c -> \\text{\\takween{ثـ}}\n\nConvert this:\nc \\nsupseteq \\omicron = \\gamma \\supset m"
},
{
"role": "assistant",
"content": "\\text{\\takween{تيم}} \\supset \\text{\\takween{غيم}} = \\text{\\takween{خا}} \\nsupseteq \\text{\\takween{ثـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 10580
}
|
[
{
"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} -7725.882 & 9345.756 & -4839.494 & -8520.087 & 1653.772 & -8727.588 \\\\ -8010.057 & -1091.167 & -4733.450 & 2713.524 & 3512.460 & -0.384 \\\\ -358.022 & -9881.502 & -8984.956 & -3620.589 & 1712.991 & -8959.128 \\end{bmatrix} \\in \\mathbb{R}^\\left(3 \\times 6\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(6 \\times 3\\right)}{}{\\arabR} \\in \\begin{bmatrix} 8727.588- & 1653.772 & 8520.087- & 4839.494- & 9345.756 & 7725.882- \\\\ 0.384- & 3512.460 & 2713.524 & 4733.450- & 1091.167- & 8010.057- \\\\ 8959.128- & 1712.991 & 3620.589- & 8984.956- & 9881.502- & 358.022- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 13693
}
|
[
{
"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{مـحـ}}\n- VAR: u -> \\text{\\takween{ثـ}}\n- VAR: x -> \\text{\\takween{مـخـ}}\n- VAR: u -> \\text{\\takween{هـ}}\n- VAR: \\psi -> \\text{\\takween{مـظـ}}\n- VAR: r -> \\text{\\takween{جم}}\n- VAR: \\zeta -> \\text{\\takween{صة}}\n- VAR: \\lambda -> \\text{\\takween{وي}}\n- VAR: x -> \\text{\\takween{غ}}\n- VAR: w -> \\text{\\takween{ئي}}\n- VAR: c -> \\text{\\takween{كه}}\n- VAR: \\theta -> \\text{\\takween{صو}}\n- VAR: d -> \\text{\\takween{مـي}}\n- VAR: \\delta -> \\text{\\takween{بم}}\n- VAR: a -> \\text{\\takween{ئ}}\n\nConvert this:\n\\begin{array}{rcrlc} 677 & 340.85 & 37.98 & \\ddots & -119 \\\\ \\rho & 715.83 & u & -337 & x \\\\ u & 959.42 & \\psi & r & -\\zeta \\\\ \\lambda & x & w & c & \\theta \\\\ 163 & 399.64 & d & -\\delta & -a \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{lclrc} {119}- & \\ddots & {37.98} & {340.85} & {677} \\\\ \\text{\\takween{مـخـ}} & {337}- & \\text{\\takween{ثـ}} & {715.83} & \\text{\\takween{مـحـ}} \\\\ \\text{\\takween{صة}}- & \\text{\\takween{جم}} & \\text{\\takween{مـظـ}} & {959.42} & \\text{\\takween{هـ}} \\\\ \\text{\\takween{صو}} & \\text{\\takween{كه}} & \\text{\\takween{ئي}} & \\text{\\takween{غ}} & \\text{\\takween{وي}} \\\\ \\text{\\takween{ئ}}- & \\text{\\takween{بم}}- & \\text{\\takween{مـي}} & {399.64} & {163} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 8993
}
|
[
{
"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{مـفـ}}\n- VAR: t -> \\text{\\takween{مة}}\n- VAR: \\lambda -> \\text{\\takween{بي}}\n- VAR: \\phi -> \\text{\\takween{موث}}\n- VAR: q -> \\text{\\takween{مـقـ}}\n- VAR: \\phi -> \\text{\\takween{مـق}}\n- VAR: \\nu -> \\text{\\takween{مـيـ}}\n- VAR: i -> \\text{\\takween{مـئـ}}\n- VAR: p -> \\text{\\takween{مـحـ}}\n- VAR: j -> \\text{\\takween{يو}}\n- VAR: m -> \\text{\\takween{ط}}\n- VAR: \\gamma -> \\text{\\takween{د}}\n- VAR: \\delta -> \\text{\\takween{موك}}\n- VAR: o -> \\text{\\takween{\\ad}}\n- VAR: m -> \\text{\\takween{ذ}}\n- VAR: \\zeta -> \\text{\\takween{صه}}\n- VAR: \\omega -> \\text{\\takween{د}}\n\nConvert this:\n\\begin{array}{llrlll} \\vdots & & & q & -t & -728 \\\\ \\lambda & 82 & \\phi & q & \\phi & \\nu \\\\ i & -p & 111 & 184 & 870 & \\vdots \\\\ -j & 191 & m & -\\gamma & -856 & -410 \\\\ \\delta & 442 & o & -m & \\zeta & -\\omega \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{rrlrrr} {728}- & \\text{\\takween{مة}}- & \\text{\\takween{مـفـ}} & & & \\vdots \\\\ \\text{\\takween{مـيـ}} & \\text{\\takween{مـق}} & \\text{\\takween{مـقـ}} & \\text{\\takween{موث}} & {82} & \\text{\\takween{بي}} \\\\ \\vdots & {870} & {184} & {111} & \\text{\\takween{مـحـ}}- & \\text{\\takween{مـئـ}} \\\\ {410}- & {856}- & \\text{\\takween{د}}- & \\text{\\takween{ط}} & {191} & \\text{\\takween{يو}}- \\\\ \\text{\\takween{د}}- & \\text{\\takween{صه}} & \\text{\\takween{ذ}}- & \\text{\\takween{\\ad}} & {442} & \\text{\\takween{موك}} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 3568
}
|
[
{
"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{مـ}}\n- VAR: k -> \\text{\\takween{موظ}}\n- VAR: g -> \\text{\\takween{مـغ}}\n- VAR: n -> \\text{\\takween{لم}}\n- VAR: o -> \\text{\\takween{تي}}\n- VAR: j -> \\text{\\takween{ما}}\n- VAR: b -> \\text{\\takween{خيم}}\n- FUN: \\psi -> \\text{\\diwani{مـي}}\n\nConvert this:\n\\begin{bmatrix} -102.92 & 830 & \\theta & k & g \\\\ -866 & 630 & \\log_{j}\\left(\\psi\\left(n_{o,452,971,525}\\right)\\right) & 553 & b \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{\\takween{مـغ}} & \\text{\\takween{موظ}} & \\text{\\takween{مـ}} & {830} & {102.92}- \\\\ \\text{\\takween{خيم}} & {553} & \\arablog{\\text{\\takween{ما}}}{\\left(\\prescript{}{{525}،{971}،{452}،\\text{\\takween{تي}}}{\\text{\\takween{لم}}}\\right)\\text{\\diwani{مـي}}} & {630} & {866}- \\end{bmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 8670
}
|
[
{
"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: y -> \\text{\\takween{نـ}}\n- VAR: v -> \\text{\\takween{صو}}\n- VAR: u -> \\text{\\takween{صم}}\n- VAR: e -> \\text{\\takween{مـظـ}}\n- VAR: \\gamma -> \\text{\\takween{ظيم}}\n- VAR: \\zeta -> \\text{\\takween{ق}}\n\nConvert this:\n\\begin{bmatrix} y & v & -171 \\\\ u & 2 & 936 \\\\ -502 & -542 & 795.75 \\\\ -e & -635 & \\gamma \\\\ 880 & 939 & \\zeta \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} {171}- & \\text{\\takween{صو}} & \\text{\\takween{نـ}} \\\\ {936} & {2} & \\text{\\takween{صم}} \\\\ {795.75} & {542}- & {502}- \\\\ \\text{\\takween{ظيم}} & {635}- & \\text{\\takween{مـظـ}}- \\\\ \\text{\\takween{ق}} & {939} & {880} \\end{bmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 12850
}
|
[
{
"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: \\phi -> \\text{\\takween{ئا}}\n- VAR: \\epsilon -> \\text{\\takween{غا}}\n- VAR: \\xi -> \\text{\\takween{مـجـ}}\n\nConvert this:\n\\xi \\subsetneq \\epsilon = \\phi \\subsetneq \\lambda"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـطـ}} \\subsetneq \\text{\\takween{ئا}} = \\text{\\takween{غا}} \\subsetneq \\text{\\takween{مـجـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 7934
}
|
[
{
"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{يم}}\n- VAR: y -> \\text{\\takween{مـخـ}}\n- VAR: \\partial -> \\text{\\takween{موط}}\n- VAR: t -> \\text{\\takween{خو}}\n- VAR: s -> \\text{\\takween{زي}}\n- VAR: w -> \\text{\\takween{طي}}\n- VAR: \\lambda -> \\text{\\takween{صه}}\n- VAR: \\mu -> \\text{\\takween{مـثـ}}\n- VAR: \\phi -> \\text{\\takween{ثيم}}\n- VAR: \\theta -> \\text{\\takween{جه}}\n- VAR: \\omega -> \\text{\\takween{حو}}\n- VAR: \\epsilon -> \\text{\\takween{ليم}}\n- VAR: \\tau -> \\text{\\takween{غـ}}\n- VAR: \\kappa -> \\text{\\takween{خا}}\n- VAR: l -> \\text{\\takween{يـ}}\n- VAR: m -> \\text{\\takween{مـنـ}}\n- VAR: u -> \\text{\\takween{مـص}}\n- VAR: \\chi -> \\text{\\takween{ز}}\n- VAR: i -> \\text{\\takween{مـيـ}}\n- VAR: j -> \\text{\\takween{غا}}\n\nConvert this:\n\\left(\\left\\{\\lambda \\supseteq \\kappa \\cup \\lambda \\in w\\right\\| \\cap j \\in i\\right) \\cap \\left\\{t \\notin \\chi \\cup \\left[u \\supsetneq m\\right)\\right] \\cup \\left|l \\supseteq \\kappa\\right| \\setminus \\left|\\tau \\notin \\epsilon\\right| \\cap \\left[\\omega \\subsetneq \\theta \\cap \\left[\\left\\langle\\left[t \\not\\ni \\phi\\right\\} \\cup \\mu \\notin \\lambda\\right\\| \\triangle w \\notin s \\cup \\left[t \\in \\partial\\right)\\right\\}\\right\\rangle = y \\notin b"
},
{
"role": "assistant",
"content": "\\text{\\takween{يم}} \\notin \\text{\\takween{مـخـ}} = \\left\\langle\\left\\{\\left(\\text{\\takween{موط}} \\in \\text{\\takween{خو}}\\right] \\cup \\text{\\takween{زي}} \\notin \\text{\\takween{طي}} \\triangle \\left\\|\\text{\\takween{صه}} \\notin \\text{\\takween{مـثـ}} \\cup \\left\\{\\text{\\takween{ثيم}} \\not\\ni \\text{\\takween{خو}}\\right]\\right\\rangle\\right] \\cap \\text{\\takween{جه}} \\subsetneq \\text{\\takween{حو}}\\right] \\cap \\left|\\text{\\takween{ليم}} \\notin \\text{\\takween{غـ}}\\right| \\setminus \\left|\\text{\\takween{خا}} \\supseteq \\text{\\takween{يـ}}\\right| \\cup \\left[\\left(\\text{\\takween{مـنـ}} \\supsetneq \\text{\\takween{مـص}}\\right] \\cup \\text{\\takween{ز}} \\notin \\text{\\takween{خو}}\\right\\} \\cap \\left(\\text{\\takween{مـيـ}} \\in \\text{\\takween{غا}} \\cap \\left\\|\\text{\\takween{طي}} \\in \\text{\\takween{صه}} \\cup \\text{\\takween{خا}} \\supseteq \\text{\\takween{صه}}\\right\\}\\right)"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 11154
}
|
[
{
"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: \\mu -> \\text{\\takween{ري}}\n- VAR: l -> \\text{\\takween{ه}}\n- FUN: g -> \\text{\\diwani{عه}}\n- FUN: \\sigma -> \\text{\\diwani{ظيم}}\n- FUN: f -> \\text{\\diwani{و}}\n- FUN: \\omega -> \\text{\\diwani{مه}}\n- FUN: \\phi -> \\text{\\diwani{مـنـ}}\n- FUN: g -> \\text{\\diwani{تـ}}\n- FUN: g -> \\text{\\diwani{قة}}\n- FUN: G -> \\text{\\diwani{فو}}\n\nConvert this:\nl^{\\left(3\\right)} \\left\\| \\mu \\right\\}=\\begin{bmatrix} \\left(-g\\left(\\overline{685}^{\\mu}\\right) \\sigma\\left(417^{\\mu}\\right) / \\sec\\left(\\widetilde{\\mu}_{\\mu,\\mu,\\mu}^{\\mu}\\right)\\right)^{-\\cosh\\left(\\vec{\\mu}_{492,460,790,286}^{\\mu}\\right)}\\\\\\prod_{\\mu=69.97}^{+\\infty} \\left(\\left(-\\mathbf{\\mu}_{\\mu,690,\\mu,702}\\right)^{-\\exp\\left(\\vec{174.76}^{2}\\right)}\\right)\\\\\\lim_{\\mu \\to \\mu} \\left(f\\left(392.58_{\\mu,147,547,\\mu}\\right) \\omega\\left(\\vec{161.45}\\%\\right) + \\phi\\left(\\mathbf{324}_{\\mu,\\mu,\\mu,135}\\right)\\right]\\\\\\sum_{\\mu}^{\\mu} \\left[-\\tan\\left(\\bar{25.23}\\right)\\right) \\bullet \\underset{-\\infty}{\\overset{967}{\\prod}} \\left(-g\\left(\\mathbf{\\dot{\\mu}}_{\\mu,661,\\mu}\\right) \\times \\cosh\\left(\\overline{618.72}^{\\mu}\\right)\\right|\\\\\\left(\\sqrt[140]{-g\\left(\\vec{869}_{\\mu,\\mu}\\right) / G\\left(472.17_{646,445,\\mu}^{11}\\right)}\\right\\} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\prescript{\\arabcosh{\\prescript{\\text{\\takween{ري}}}{{286}،{790}،{460}،{492}}{\\arabvec{\\text{\\takween{ري}}}}}-}{}{\\left(\\arabsec{\\prescript{\\text{\\takween{ري}}}{\\text{\\takween{ري}}،\\text{\\takween{ري}}،\\text{\\takween{ري}}}{\\widetilde{\\text{\\takween{ري}}}}} \\backslash \\left(\\prescript{\\text{\\takween{ري}}}{}{{417}}\\right)\\text{\\diwani{ظيم}} \\left(\\prescript{\\text{\\takween{ري}}}{}{\\overline{{685}}}\\right)\\text{\\diwani{عه}}-\\right)}\\\\\\left(\\prescript{\\arabexp{\\prescript{{2}}{}{\\arabvec{{174.76}}}}-}{}{\\left(\\prescript{}{{702}،\\text{\\takween{ري}}،{690}،\\text{\\takween{ري}}}{\\boldarabic{\\text{\\takween{ري}}}}-\\right)}\\right)\\arabprod{{69.97}=\\text{\\takween{ري}}}{\\infty +}\\\\\\left[\\left(\\prescript{}{{135}،\\text{\\takween{ري}}،\\text{\\takween{ري}}،\\text{\\takween{ري}}}{\\boldarabic{{324}}}\\right)\\text{\\diwani{مـنـ}} + \\left(٪\\arabvec{{161.45}}\\right)\\text{\\diwani{مه}} \\left(\\prescript{}{\\text{\\takween{ري}}،{547}،{147}،\\text{\\takween{ري}}}{{392.58}}\\right)\\text{\\diwani{و}}\\right)\\arablim{\\text{\\takween{ري}}}{\\text{\\takween{ري}}}\\\\ \\left|\\arabcosh{\\prescript{\\text{\\takween{ري}}}{}{\\overline{{618.72}}}} \\times \\left(\\prescript{}{\\text{\\takween{ري}}،{661}،\\text{\\takween{ري}}}{\\boldarabic{\\dot{\\text{\\takween{ري}}}}}\\right)\\text{\\diwani{تـ}}-\\right)\\arabprod{\\infty -}{{967}} \\bullet \\left(\\arabtan{\\bar{{25.23}}}-\\right]\\arabsum{\\text{\\takween{ري}}}{\\text{\\takween{ري}}}\\\\\\left\\{\\arabsqrt{{140}}{\\left(\\prescript{{11}}{\\text{\\takween{ري}}،{445}،{646}}{{472.17}}\\right)\\text{\\diwani{فو}} \\backslash \\left(\\prescript{}{\\text{\\takween{ري}}،\\text{\\takween{ري}}}{\\arabvec{{869}}}\\right)\\text{\\diwani{قة}}-}\\right) \\end{bmatrix}=\\left\\{ \\text{\\takween{ري}} \\right\\|\\prescript{\\left(3\\right)}{}{\\text{\\takween{ه}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 8581
}
|
[
{
"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: \\psi -> \\text{\\takween{مـشـ}}\n- VAR: k -> \\text{\\takween{عه}}\n- FUN: \\tau -> \\text{\\diwani{لة}}\n- FUN: \\chi -> \\text{\\diwani{ئه}}\n\nConvert this:\nk^{\\left(3\\right)} \\left\\{ \\psi \\right| = \\frac{\\partial^{3}k}{\\partial \\psi^{3}}\\left\\{ \\psi \\right|=\\chi\\left(\\tan\\left(844_{431}\\right) - \\arctan\\left(284^{315}\\right) / \\tau\\left(116\\right)\\right)"
},
{
"role": "assistant",
"content": "\\left( \\left({116}\\right)\\text{\\diwani{لة}} \\backslash \\arabatan{\\prescript{{315}}{}{{284}}} - \\arabtan{\\prescript{}{{431}}{{844}}}\\right)\\text{\\diwani{ئه}}=\\left| \\text{\\takween{مـشـ}} \\right\\}\\frac{\\prescript{3}{}{\\text{\\takween{عه}}}\\ad}{\\prescript{3}{}{\\text{\\takween{مـشـ}}}\\ad} = \\left| \\text{\\takween{مـشـ}} \\right\\}\\prescript{\\left(3\\right)}{}{\\text{\\takween{عه}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 13337
}
|
[
{
"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{خو}}\n- VAR: \\zeta -> \\text{\\takween{مـعـ}}\n- VAR: l -> \\text{\\takween{ثو}}\n- VAR: \\sigma -> \\text{\\takween{خو}}\n- VAR: o -> \\text{\\takween{مـك}}\n- VAR: l -> \\text{\\takween{هة}}\n- VAR: \\alpha -> \\text{\\takween{ني}}\n- VAR: h -> \\text{\\takween{مـثـ}}\n- VAR: x -> \\text{\\takween{مـخ}}\n- VAR: \\lambda -> \\text{\\takween{قي}}\n- VAR: g -> \\text{\\takween{حة}}\n- VAR: l -> \\text{\\takween{ديم}}\n- VAR: j -> \\text{\\takween{ضو}}\n- VAR: e -> \\text{\\takween{شي}}\n- VAR: g -> \\text{\\takween{ت}}\n- VAR: \\tau -> \\text{\\takween{تا}}\n- VAR: \\beta -> \\text{\\takween{مـعـ}}\n- VAR: \\phi -> \\text{\\takween{مـبـ}}\n- VAR: \\mu -> \\text{\\takween{قي}}\n- VAR: \\epsilon -> \\text{\\takween{ئة}}\n\nConvert this:\n\\begin{array}{rlcrlr} -g & \\zeta & -899.25 & -l & \\sigma & o \\\\ l & \\alpha & 15 & 483 & -h & x \\\\ 376 & \\lambda & g & -207 & 218.81 & -227 \\\\ -l & -j & e & g & -\\tau & \\beta \\\\ \\phi & 638 & -\\mu & 799 & & -\\epsilon \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{lrclrl} \\text{\\takween{مـك}} & \\text{\\takween{خو}} & \\text{\\takween{ثو}}- & {899.25}- & \\text{\\takween{مـعـ}} & \\text{\\takween{خو}}- \\\\ \\text{\\takween{مـخ}} & \\text{\\takween{مـثـ}}- & {483} & {15} & \\text{\\takween{ني}} & \\text{\\takween{هة}} \\\\ {227}- & {218.81} & {207}- & \\text{\\takween{حة}} & \\text{\\takween{قي}} & {376} \\\\ \\text{\\takween{مـعـ}} & \\text{\\takween{تا}}- & \\text{\\takween{ت}} & \\text{\\takween{شي}} & \\text{\\takween{ضو}}- & \\text{\\takween{ديم}}- \\\\ \\text{\\takween{ئة}}- & & {799} & \\text{\\takween{قي}}- & {638} & \\text{\\takween{مـبـ}} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 8962
}
|
[
{
"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} 8992.086 -8975.765i \\\\ 2213.093 -6875.293i \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ت}8975.765- 8992.086 \\\\ \\text{ت}6875.293- 2213.093 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 13401
}
|
[
{
"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} -7815.623 -8807.070i & -3018.496 -1529.081i & 8483.261 -4180.790i & 4837.886 -3865.627i & -3903.632 +1731.091i & -1624.563 -2938.631i \\\\ -3345.326 +6018.684i & 8009.866 -9506.624i & 3791.884 -5884.430i & -3085.670 +540.138i & -7061.501 -4978.188i & 5583.389 -8788.456i \\\\ 7782.127 -9001.853i & 4352.961 +9470.343i & 3470.926 -190.831i & 5763.631 +5711.689i & -2212.093 -4519.376i & -7901.691 -9180.132i \\\\ -8303.794 +5927.574i & 4982.178 -4005.195i & 4917.125 +5150.648i & -3254.862 +382.743i & -5531.153 -5876.137i & -3206.147 +8250.745i \\\\ 8762.720 -2803.996i & 9240.152 -9795.878i & 7362.389 +6448.442i & -9948.437 +3346.172i & 381.889 +902.393i & 6097.673 -6099.021i \\\\ -256.071 -6848.758i & 6414.825 +4320.128i & 8042.966 -8059.634i & -7424.269 -5343.848i & 8428.312 -8322.886i & 5697.702 +5087.749i \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ت}2938.631- 1624.563- & \\text{ت}1731.091+ 3903.632- & \\text{ت}3865.627- 4837.886 & \\text{ت}4180.790- 8483.261 & \\text{ت}1529.081- 3018.496- & \\text{ت}8807.070- 7815.623- \\\\ \\text{ت}8788.456- 5583.389 & \\text{ت}4978.188- 7061.501- & \\text{ت}540.138+ 3085.670- & \\text{ت}5884.430- 3791.884 & \\text{ت}9506.624- 8009.866 & \\text{ت}6018.684+ 3345.326- \\\\ \\text{ت}9180.132- 7901.691- & \\text{ت}4519.376- 2212.093- & \\text{ت}5711.689+ 5763.631 & \\text{ت}190.831- 3470.926 & \\text{ت}9470.343+ 4352.961 & \\text{ت}9001.853- 7782.127 \\\\ \\text{ت}8250.745+ 3206.147- & \\text{ت}5876.137- 5531.153- & \\text{ت}382.743+ 3254.862- & \\text{ت}5150.648+ 4917.125 & \\text{ت}4005.195- 4982.178 & \\text{ت}5927.574+ 8303.794- \\\\ \\text{ت}6099.021- 6097.673 & \\text{ت}902.393+ 381.889 & \\text{ت}3346.172+ 9948.437- & \\text{ت}6448.442+ 7362.389 & \\text{ت}9795.878- 9240.152 & \\text{ت}2803.996- 8762.720 \\\\ \\text{ت}5087.749+ 5697.702 & \\text{ت}8322.886- 8428.312 & \\text{ت}5343.848- 7424.269- & \\text{ت}8059.634- 8042.966 & \\text{ت}4320.128+ 6414.825 & \\text{ت}6848.758- 256.071- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 9134
}
|
[
{
"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{مـل}}\n- VAR: y -> \\text{\\takween{هي}}\n- VAR: l -> \\text{\\takween{ظي}}\n- VAR: b -> \\text{\\takween{مي}}\n\nConvert this:\nb \\nsubseteq l = y \\notin q"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـل}} \\notin \\text{\\takween{هي}} = \\text{\\takween{ظي}} \\nsubseteq \\text{\\takween{مي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 13592
}
|
[
{
"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} 3874.694 -3042.088i & 6394.262 +3035.948i & 8442.467 +2315.642i \\\\ -2343.809 -9943.637i & -2229.851 -7382.255i & -2211.331 -3891.331i \\\\ -2497.162 -7819.133i & -1444.370 +8755.175i & -2515.521 +9063.768i \\\\ -1723.787 -6773.986i & -2386.554 +7973.659i & 9416.880 -2303.244i \\\\ -3396.715 +9541.694i & 5634.601 -7890.051i & 2384.452 -4037.957i \\end{bmatrix} \\in \\mathbb{C}^\\left(5 \\times 3\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(3 \\times 5\\right)}{}{\\arabC} \\in \\begin{bmatrix} \\text{ت}2315.642+ 8442.467 & \\text{ت}3035.948+ 6394.262 & \\text{ت}3042.088- 3874.694 \\\\ \\text{ت}3891.331- 2211.331- & \\text{ت}7382.255- 2229.851- & \\text{ت}9943.637- 2343.809- \\\\ \\text{ت}9063.768+ 2515.521- & \\text{ت}8755.175+ 1444.370- & \\text{ت}7819.133- 2497.162- \\\\ \\text{ت}2303.244- 9416.880 & \\text{ت}7973.659+ 2386.554- & \\text{ت}6773.986- 1723.787- \\\\ \\text{ت}4037.957- 2384.452 & \\text{ت}7890.051- 5634.601 & \\text{ت}9541.694+ 3396.715- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 2208
}
|
[
{
"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{مـجـ}}\n- VAR: \\psi -> \\text{\\takween{مـق}}\n- VAR: k -> \\text{\\takween{موع}}\n- VAR: \\phi -> \\text{\\takween{خـ}}\n\nConvert this:\n\\prod_{753}^{+\\infty} \\left\\langle-\\arccos\\left(\\psi_{k,\\phi,409,15}\\right)\\right)"
},
{
"role": "assistant",
"content": "\\left(\\arabacos{\\prescript{}{{15}،{409}،\\text{\\takween{خـ}}،\\text{\\takween{موع}}}{\\text{\\takween{مـق}}}}-\\right\\rangle\\arabprod{{753}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 7828
}
|
End of preview. Expand
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