messages
listlengths 3
3
| meta
dict |
|---|---|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "No symbol mappings provided\n\nConvert this:\n\\begin{bmatrix} 8438.211 -5554.705i & 1615.619 -2047.737i & 1554.645 +7059.723i & 5994.412 -8590.857i & 5524.241 -3725.687i & 3311.639 +315.991i \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ت}315.991+ 3311.639 & \\text{ت}3725.687- 5524.241 & \\text{ت}8590.857- 5994.412 & \\text{ت}7059.723+ 1554.645 & \\text{ت}2047.737- 1615.619 & \\text{ت}5554.705- 8438.211 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 7363
}
|
[
{
"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{يم}}\n- VAR: \\sigma -> \\text{\\takween{حيم}}\n- VAR: \\partial -> \\text{\\takween{فو}}\n- FUN: H -> \\text{\\diwani{نـ}}\n- FUN: X -> \\text{\\diwani{لة}}\n\nConvert this:\n\\partial^{\\left(4\\right)} \\left\\{ 32, o, \\sigma, 145 \\right]=\\begin{bmatrix} \\left.\\sqrt[679]{\\frac{\\left[H\\left(\\widetilde{o}_{32,145}^{121}\\right)\\right\\rangle}{\\lim_{o \\to 146.82} \\left[\\tan\\left(\\sigma\\right)\\right\\|}}\\right\\}\\\\\\log_{145}\\left(-X\\left(\\mathbf{157.43}_{950}^{673}\\right)\\right) \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left\\{\\arabsqrt{{679}}{\\frac{\\left\\langle\\left(\\prescript{{121}}{{145}،{32}}{\\widetilde{\\text{\\takween{يم}}}}\\right)\\text{\\diwani{نـ}}\\right]}{\\left\\|\\arabtan{\\text{\\takween{حيم}}}\\right]\\arablim{\\text{\\takween{يم}}}{{146.82}}}}\\right.\\\\\\arablog{{145}}{\\left(\\prescript{{673}}{{950}}{\\boldarabic{{157.43}}}\\right)\\text{\\diwani{لة}}-} \\end{bmatrix}=\\left[ {145} ،\\text{\\takween{حيم}} ،\\text{\\takween{يم}} ،{32} \\right\\}\\prescript{\\left(4\\right)}{}{\\text{\\takween{فو}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 10882
}
|
[
{
"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} -2327.517-7620.859i-8303.100j-7816.267k \\\\ -3715.155-3439.832i-3694.640j+4328.883k \\\\ -2841.411+2570.654i+357.213j-3496.766k \\\\ 3278.913-3158.614i-1203.291j+2607.573k \\\\ -5902.868-9114.974i+7767.701j+7473.465k \\\\ 5630.241-79.655i+2889.014j+3503.945k \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ك}7816.267- \\text{ج}8303.100- \\text{ت} 7620.859- 2327.517- \\\\ \\text{ك}4328.883+ \\text{ج}3694.640- \\text{ت} 3439.832- 3715.155- \\\\ \\text{ك}3496.766- \\text{ج}357.213+ \\text{ت} 2570.654+ 2841.411- \\\\ \\text{ك}2607.573+ \\text{ج}1203.291- \\text{ت} 3158.614- 3278.913 \\\\ \\text{ك}7473.465+ \\text{ج}7767.701+ \\text{ت} 9114.974- 5902.868- \\\\ \\text{ك}3503.945+ \\text{ج}2889.014+ \\text{ت} 79.655- 5630.241 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 12426
}
|
[
{
"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} 3731 \\\\ 9398 \\end{bmatrix} \\in \\mathbb{N}^2"
},
{
"role": "assistant",
"content": "\\prescript{2}{}{\\arabN} \\in \\begin{bmatrix} 3731 \\\\ 9398 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 12373
}
|
[
{
"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{و}}\n- VAR: \\beta -> \\text{\\takween{سه}}\n- VAR: \\epsilon -> \\text{\\takween{هي}}\n- VAR: k -> \\text{\\takween{مـخ}}\n- VAR: \\partial -> \\text{\\takween{بو}}\n- VAR: \\omega -> \\text{\\takween{دي}}\n\nConvert this:\n\\omega \\nsupseteq \\partial = \\left\\{k \\supseteq \\epsilon\\right] \\cap \\beta \\in \\phi"
},
{
"role": "assistant",
"content": "\\text{\\takween{و}} \\in \\text{\\takween{سه}} \\cap \\left[\\text{\\takween{هي}} \\supseteq \\text{\\takween{مـخ}}\\right\\} = \\text{\\takween{بو}} \\nsupseteq \\text{\\takween{دي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 6920
}
|
[
{
"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{مـهـ}}\n- VAR: \\gamma -> \\text{\\takween{خي}}\n- VAR: k -> \\text{\\takween{ضأ}}\n\nConvert this:\n\\begin{array}{l} y \\\\ -\\gamma \\\\ k \\\\ 366 \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{r} \\text{\\takween{مـهـ}} \\\\ \\text{\\takween{خي}}- \\\\ \\text{\\takween{ضأ}} \\\\ {366} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 3719
}
|
[
{
"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{كة}}\n- VAR: h -> \\text{\\takween{مـئـ}}\n- VAR: k -> \\text{\\takween{ليم}}\n- VAR: \\xi -> \\text{\\takween{كا}}\n- VAR: c -> \\text{\\takween{غـ}}\n- VAR: \\chi -> \\text{\\takween{ظو}}\n\nConvert this:\n\\begin{matrix} \\delta & h & -k & 778 & \\xi \\\\ 533 & 94 & -546 & -657 & -763 \\\\ 634 & 517 & 26 & c & \\chi \\end{matrix}"
},
{
"role": "assistant",
"content": "\\begin{matrix} \\text{\\takween{كا}} & {778} & \\text{\\takween{ليم}}- & \\text{\\takween{مـئـ}} & \\text{\\takween{كة}} \\\\ {763}- & {657}- & {546}- & {94} & {533} \\\\ \\text{\\takween{ظو}} & \\text{\\takween{غـ}} & {26} & {517} & {634} \\end{matrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 1585
}
|
[
{
"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{لي}}\n- VAR: t -> \\text{\\takween{مـيـ}}\n- VAR: w -> \\text{\\takween{د}}\n- VAR: e -> \\text{\\takween{ي}}\n- VAR: \\delta -> \\text{\\takween{كا}}\n- FUN: F -> \\text{\\diwani{مـج}}\n\nConvert this:\n\\log_{\\delta}\\left(\\prod_{-\\infty}^{t} \\left\\|-F\\left(963_{w,e,857}\\right)\\right\\rangle\\right)"
},
{
"role": "assistant",
"content": "\\arablog{\\text{\\takween{كا}}}{\\left\\langle\\left(\\prescript{}{{857}،\\text{\\takween{ي}}،\\text{\\takween{د}}}{{963}}\\right)\\text{\\diwani{مـج}}-\\right\\|\\arabprod{\\infty -}{\\text{\\takween{مـيـ}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 13140
}
|
[
{
"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} 414.887 & 5606.998 & -6981.025 & 7680.362 & -5715.106 \\\\ 1317.134 & 6131.325 & -649.108 & -1074.809 & 4939.702 \\\\ -5770.744 & -348.277 & -7743.809 & 827.464 & 2452.439 \\\\ -1855.706 & -9963.837 & 6674.421 & -48.601 & -6420.021 \\\\ -6843.411 & -5469.570 & 2382.646 & 5718.936 & -4185.900 \\end{bmatrix} \\in \\mathbb{R}^\\left(5 \\times 5\\right)"
},
{
"role": "assistant",
"content": "\\prescript{\\left(5 \\times 5\\right)}{}{\\arabR} \\in \\begin{bmatrix} 5715.106- & 7680.362 & 6981.025- & 5606.998 & 414.887 \\\\ 4939.702 & 1074.809- & 649.108- & 6131.325 & 1317.134 \\\\ 2452.439 & 827.464 & 7743.809- & 348.277- & 5770.744- \\\\ 6420.021- & 48.601- & 6674.421 & 9963.837- & 1855.706- \\\\ 4185.900- & 5718.936 & 2382.646 & 5469.570- & 6843.411- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 14212
}
|
[
{
"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{مـت}}\n- VAR: \\phi -> \\text{\\takween{ئا}}\n- VAR: e -> \\text{\\takween{ئـ}}\n- VAR: f -> \\text{\\takween{مـث}}\n- VAR: \\rho -> \\text{\\takween{كم}}\n- VAR: \\sigma -> \\text{\\takween{كم}}\n- VAR: n -> \\text{\\takween{نو}}\n- VAR: w -> \\text{\\takween{مـنـ}}\n- VAR: e -> \\text{\\takween{مـت}}\n- VAR: \\phi -> \\text{\\takween{ئا}}\n- VAR: e -> \\text{\\takween{ئـ}}\n- VAR: f -> \\text{\\takween{مـث}}\n- VAR: \\rho -> \\text{\\takween{كم}}\n- VAR: \\sigma -> \\text{\\takween{كم}}\n- VAR: n -> \\text{\\takween{نو}}\n- VAR: w -> \\text{\\takween{مـنـ}}\n- FUN: \\sigma -> \\text{\\diwani{موش}}\n- FUN: \\phi -> \\text{\\diwani{سم}}\n- FUN: \\sigma -> \\text{\\diwani{موش}}\n- FUN: \\phi -> \\text{\\diwani{سم}}\n\nConvert this:\n\\sigma\\left(\\mathbf{299}_{\\phi}^{e}\\right) \\sim \\sum_{e=-\\infty}^{273} \\left(\\underset{\\rho}{\\overset{+\\infty}{\\prod}} \\left\\{\\log_{156}\\left(\\phi\\left(\\dddot{\\sigma}_{n,942,104,433}^{311}\\right) \\bullet \\tan\\left(\\mathbf{w}_{680}^{978}\\right)\\right)\\right\\rangle\\right\\rangle"
},
{
"role": "assistant",
"content": "\\left\\langle\\left\\langle\\arablog{{156}}{ \\arabtan{\\prescript{{978}}{{680}}{\\boldarabic{\\text{\\takween{مـنـ}}}}} \\bullet \\left(\\prescript{{311}}{{433}،{104}،{942}،\\text{\\takween{نو}}}{\\dddot{\\text{\\takween{كم}}}}\\right)\\text{\\diwani{سم}}}\\right\\}\\arabprod{\\text{\\takween{كم}}}{\\infty +}\\right)\\arabsum{\\infty -=\\text{\\takween{ئـ}}}{{273}} \\sim \\left(\\prescript{\\text{\\takween{مـت}}}{\\text{\\takween{ئا}}}{\\boldarabic{{299}}}\\right)\\text{\\diwani{موش}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 5072
}
|
[
{
"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{مـنـ}}\n- VAR: l -> \\text{\\takween{كو}}\n- VAR: \\partial -> \\text{\\takween{موص}}\n- VAR: \\epsilon -> \\text{\\takween{هي}}\n- VAR: \\iota -> \\text{\\takween{هـ}}\n- VAR: \\xi -> \\text{\\takween{زي}}\n\nConvert this:\n\\begin{align} -z &+& l &+& \\partial &+& -170.95 \\\\ \\epsilon &+& 168 &+& \\iota &+& \\xi \\end{align}"
},
{
"role": "assistant",
"content": "\\begin{align} {170.95}- &+& \\text{\\takween{موص}} &+& \\text{\\takween{كو}} &+& \\text{\\takween{مـنـ}}- \\\\ \\text{\\takween{زي}} &+& \\text{\\takween{هـ}} &+& {168} &+& \\text{\\takween{هي}} \\end{align}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 13971
}
|
[
{
"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{موش}}\n- VAR: \\kappa -> \\text{\\takween{ثه}}\n- VAR: \\nu -> \\text{\\takween{ضة}}\n- VAR: q -> \\text{\\takween{تي}}\n- VAR: \\iota -> \\text{\\takween{فه}}\n- VAR: \\lambda -> \\text{\\takween{ئا}}\n- VAR: b -> \\text{\\takween{فو}}\n- VAR: \\psi -> \\text{\\takween{حا}}\n- VAR: \\omicron -> \\text{\\takween{مـض}}\n- VAR: \\alpha -> \\text{\\takween{مـكـ}}\n- VAR: f -> \\text{\\takween{مـغـ}}\n\nConvert this:\nf \\supset \\alpha \\cap \\omicron \\notin \\psi \\cap \\left(b \\subsetneq \\lambda\\right\\rangle \\triangle \\left(\\zeta \\in \\iota\\right\\rangle \\cap \\left(q \\notin \\nu\\right] = \\kappa \\subset \\zeta"
},
{
"role": "assistant",
"content": "\\text{\\takween{موش}} \\subset \\text{\\takween{ثه}} = \\left[\\text{\\takween{ضة}} \\notin \\text{\\takween{تي}}\\right) \\cap \\left\\langle\\text{\\takween{فه}} \\in \\text{\\takween{موش}}\\right) \\triangle \\left\\langle\\text{\\takween{ئا}} \\subsetneq \\text{\\takween{فو}}\\right) \\cap \\text{\\takween{حا}} \\notin \\text{\\takween{مـض}} \\cap \\text{\\takween{مـكـ}} \\supset \\text{\\takween{مـغـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 7272
}
|
[
{
"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{قا}}\n- VAR: f -> \\text{\\takween{طيم}}\n- VAR: r -> \\text{\\takween{قي}}\n- VAR: \\beta -> \\text{\\takween{حو}}\n\nConvert this:\n\\beta \\in r = f \\notin \\epsilon"
},
{
"role": "assistant",
"content": "\\text{\\takween{قا}} \\notin \\text{\\takween{طيم}} = \\text{\\takween{قي}} \\in \\text{\\takween{حو}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 3251
}
|
[
{
"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{ثي}}\n- VAR: \\gamma -> \\text{\\takween{ظة}}\n- VAR: \\psi -> \\text{\\takween{سو}}\n- VAR: \\delta -> \\text{\\takween{ما}}\n- VAR: \\tau -> \\text{\\takween{خو}}\n- VAR: \\partial -> \\text{\\takween{مـط}}\n- VAR: \\psi -> \\text{\\takween{مـت}}\n- VAR: \\omicron -> \\text{\\takween{هه}}\n- VAR: \\chi -> \\text{\\takween{طة}}\n- VAR: k -> \\text{\\takween{فم}}\n- VAR: k -> \\text{\\takween{مو}}\n- VAR: n -> \\text{\\takween{ق}}\n- VAR: i -> \\text{\\takween{ثي}}\n- VAR: \\gamma -> \\text{\\takween{ظة}}\n- VAR: \\psi -> \\text{\\takween{سو}}\n- VAR: \\delta -> \\text{\\takween{ما}}\n- VAR: \\tau -> \\text{\\takween{خو}}\n- VAR: \\partial -> \\text{\\takween{مـط}}\n- VAR: \\psi -> \\text{\\takween{مـت}}\n- VAR: \\omicron -> \\text{\\takween{هه}}\n- VAR: \\chi -> \\text{\\takween{طة}}\n- VAR: k -> \\text{\\takween{فم}}\n- VAR: k -> \\text{\\takween{مو}}\n- VAR: n -> \\text{\\takween{ق}}\n- FUN: \\omega -> \\text{\\diwani{ري}}\n- FUN: \\omega -> \\text{\\diwani{غـ}}\n- FUN: \\omega -> \\text{\\diwani{ري}}\n- FUN: \\omega -> \\text{\\diwani{غـ}}\n\nConvert this:\n\\left\\langle\\frac{\\ln\\left(\\check{i}^{\\gamma}\\right) \\bullet \\sec\\left(\\ddddot{\\psi}\\right)}{-\\ln\\left(\\delta_{770}^{942}\\right)}\\right\\rangle + \\omega\\left(\\underset{\\tau \\to 310}{\\lim} \\left\\{-\\sin\\left(\\mathbf{\\dddot{308.74}}_{894,\\partial,944,\\psi}^{629}\\right)\\right|\\right) < \\left(\\omega\\left(\\grave{899}_{137,\\chi,k,k}^{\\omicron}\\right)\\right)^{-\\csc\\left(\\vec{\\breve{936.08}}_{601,n}\\right)}"
},
{
"role": "assistant",
"content": "\\prescript{\\arabcsc{\\prescript{}{\\text{\\takween{ق}}،{601}}{\\arabvec{\\breve{{936.08}}}}}-}{}{\\left(\\left(\\prescript{\\text{\\takween{هه}}}{\\text{\\takween{مو}}،\\text{\\takween{فم}}،\\text{\\takween{طة}}،{137}}{\\grave{{899}}}\\right)\\text{\\diwani{غـ}}\\right)} < \\left(\\left|\\arabsin{\\prescript{{629}}{\\text{\\takween{مـت}}،{944}،\\text{\\takween{مـط}}،{894}}{\\boldarabic{\\dddot{{308.74}}}}}-\\right\\}\\arablim{\\text{\\takween{خو}}}{{310}}\\right)\\text{\\diwani{ري}} + \\left\\langle\\frac{\\arabsec{\\ddddot{\\text{\\takween{سو}}}} \\bullet \\arabnlog{\\prescript{\\text{\\takween{ظة}}}{}{\\check{\\text{\\takween{ثي}}}}}}{\\arabnlog{\\prescript{{942}}{{770}}{\\text{\\takween{ما}}}}-}\\right\\rangle"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 3420
}
|
[
{
"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:\n6360"
},
{
"role": "assistant",
"content": "6360"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 11080
}
|
[
{
"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{مـكـ}}\n- VAR: \\lambda -> \\text{\\takween{وي}}\n- VAR: \\tau -> \\text{\\takween{مـسـ}}\n- FUN: Z -> \\text{\\diwani{مـئـ}}\n- FUN: \\omega -> \\text{\\diwani{يم}}\n- FUN: H -> \\text{\\diwani{فو}}\n- FUN: \\omega -> \\text{\\diwani{كي}}\n- FUN: \\phi -> \\text{\\diwani{مـغ}}\n- FUN: Y -> \\text{\\diwani{مـهـ}}\n\nConvert this:\n\\tau^{\\left(4\\right)} \\left\\| 782, m, 803, \\lambda \\right\\} = \\frac{\\partial^{4}\\tau}{\\partial \\lambda^{4}}\\left\\| 782, m, 803, \\lambda \\right\\}=\\begin{bmatrix} \\iiint \\left\\{ -Z\\left(\\mathbf{\\tilde{269}}_{906,242,m,687}^{589}\\right) \\, \\partial 803\\right\\}\\\\\\sinh\\left(\\omega\\left(-\\tan\\left(\\mathbf{\\breve{418.47}}_{379}\\right)\\right)\\right) H\\left(\\underset{861.62}{\\overset{+\\infty}{\\prod}} \\left\\langle\\arctan\\left(\\ddddot{945}_{399}\\right)\\right)\\right)\\\\\\left(\\sqrt[m]{\\omega\\left(\\check{385}^{803}\\right) \\phi\\left(\\dot{m}_{470,803}^{m}\\right)}\\right)^{\\lim_{803 \\to m} \\left[-Y\\left(47_{13,782,\\lambda}^{879}\\right) \\arctan\\left(\\acute{803}_{601,\\lambda,782}\\right) - \\mathbf{33}_{m,147,782,\\lambda}\\right)}\\\\\\iiiint \\iint \\left\\{ -\\sinh\\left(\\mathbf{\\acute{468}}\\%\\right) \\times 782 \\, \\partial 803\\right\\} \\, \\partial \\lambda\\\\\\iiint \\sqrt[]{\\arcsin\\left(100_{249}\\right)} \\, \\partial m \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left\\{{803}{\\ad}\\left(\\prescript{{589}}{{687}،\\text{\\takween{مـكـ}}،{242}،{906}}{\\boldarabic{\\tilde{{269}}}}\\right)\\text{\\diwani{مـئـ}}-\\right\\}\\iiint\\\\ \\left(\\left(\\arabatan{\\prescript{}{{399}}{\\ddddot{{945}}}}\\right\\rangle\\arabprod{{861.62}}{\\infty +}\\right)\\text{\\diwani{فو}} \\arabsinh{\\left(\\arabtan{\\prescript{}{{379}}{\\boldarabic{\\breve{{418.47}}}}}-\\right)\\text{\\diwani{يم}}}\\\\\\prescript{\\left(\\prescript{}{\\text{\\takween{وي}}،{782}،{147}،\\text{\\takween{مـكـ}}}{\\boldarabic{{33}}} - \\arabatan{\\prescript{}{{782}،\\text{\\takween{وي}}،{601}}{\\acute{{803}}}} \\left(\\prescript{{879}}{\\text{\\takween{وي}}،{782}،{13}}{{47}}\\right)\\text{\\diwani{مـهـ}}-\\right]\\arablim{{803}}{\\text{\\takween{مـكـ}}}}{}{\\left(\\arabsqrt{\\text{\\takween{مـكـ}}}{\\left(\\prescript{\\text{\\takween{مـكـ}}}{{803}،{470}}{\\dot{\\text{\\takween{مـكـ}}}}\\right)\\text{\\diwani{مـغ}} \\left(\\prescript{{803}}{}{\\check{{385}}}\\right)\\text{\\diwani{كي}}}\\right)}\\\\\\text{\\takween{وي}}{\\ad}\\left\\{{803}{\\ad}{782} \\times \\arabsinh{٪\\boldarabic{\\acute{{468}}}}-\\right\\}\\iint\\iiiint\\\\\\text{\\takween{مـكـ}}{\\ad}\\arabsqrt{}{\\arabasin{\\prescript{}{{249}}{{100}}}}\\iiint \\end{bmatrix}=\\left\\{ \\text{\\takween{وي}} ،{803} ،\\text{\\takween{مـكـ}} ،{782} \\right\\|\\frac{\\prescript{4}{}{\\text{\\takween{مـسـ}}}\\ad}{\\prescript{4}{}{\\text{\\takween{وي}}}\\ad} = \\left\\{ \\text{\\takween{وي}} ،{803} ،\\text{\\takween{مـكـ}} ،{782} \\right\\|\\prescript{\\left(4\\right)}{}{\\text{\\takween{مـسـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 4301
}
|
[
{
"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{مـنـ}}\n- VAR: \\rho -> \\text{\\takween{يم}}\n- FUN: h -> \\text{\\diwani{مـث}}\n- FUN: \\omega -> \\text{\\diwani{خـ}}\n- FUN: f -> \\text{\\diwani{مـئ}}\n- FUN: \\tau -> \\text{\\diwani{مـي}}\n- FUN: \\tau -> \\text{\\diwani{مـخـ}}\n- FUN: \\tau -> \\text{\\diwani{ج}}\n- FUN: \\psi -> \\text{\\diwani{مـنـ}}\n\nConvert this:\n\\rho^{\\left(5\\right)} \\left\\| 762, q, 459.16, 482 \\right|=\\left\\{ \\begin{array}{l} \\sec\\left(\\prod_{-\\infty}^{+\\infty} \\left\\langle\\left(-\\cosh\\left(\\vec{\\widetilde{50.21}}_{482,459.16,881}^{q}\\right)\\right)^{\\sinh\\left(459.16_{459.16,459.16,q,288}^{799}\\right)}\\right\\|\\right)\\\\\\log_{q}\\left(-h\\left(762_{843,332}^{q}\\right) \\sin\\left(\\check{459.16}\\right) \\cdot \\omega\\left(\\grave{q}_{459.16,959,482,q}^{482}\\right) f\\left(\\tilde{916}\\right)\\right) + \\iiiint \\left[ \\int_{149}^{961} \\left| -\\dddot{459.16}_{432} \\bullet \\csc\\left(326_{459.16,482,459.16,822}^{294}\\right) \\, \\partial 482\\right] \\, \\partial 459.16\\right)\\\\-\\tau\\left(\\widetilde{762}_{68}^{482}\\right) \\arcsin\\left(\\bar{762}\\right)\\\\\\psi\\left(\\tau\\left(63_{846,608,q,993}\\right) / \\arctan\\left(\\vec{762}_{759,762}^{715.66}\\right) \\bullet \\acute{431}_{65}^{482} - \\ln\\left(\\mathbf{\\hat{459.16}}_{459.16,482,105,262}^{170}\\right) \\bullet \\tau\\left(471.97^{459.16}\\right) \\times \\cos\\left(\\grave{151}_{459.16,297,93}\\right)\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\arabsec{\\left\\|\\prescript{\\arabsinh{\\prescript{{799}}{{288}،\\text{\\takween{مـنـ}}،{459.16}،{459.16}}{{459.16}}}}{}{\\left(\\arabcosh{\\prescript{\\text{\\takween{مـنـ}}}{{881}،{459.16}،{482}}{\\arabvec{\\widetilde{{50.21}}}}}-\\right)}\\right\\rangle\\arabprod{\\infty -}{\\infty +}}\\\\ \\left({459.16}{\\ad}\\left[{482}{\\ad}\\arabcsc{\\prescript{{294}}{{822}،{459.16}،{482}،{459.16}}{{326}}} \\bullet \\prescript{}{{432}}{\\dddot{{459.16}}}-\\right|\\arabint{{149}}{{961}}\\right]\\iiiint + \\arablog{\\text{\\takween{مـنـ}}}{ \\left(\\tilde{{916}}\\right)\\text{\\diwani{مـئ}} \\left(\\prescript{{482}}{\\text{\\takween{مـنـ}}،{482}،{959}،{459.16}}{\\grave{\\text{\\takween{مـنـ}}}}\\right)\\text{\\diwani{خـ}} \\cdot \\arabsin{\\check{{459.16}}} \\left(\\prescript{\\text{\\takween{مـنـ}}}{{332}،{843}}{{762}}\\right)\\text{\\diwani{مـث}}-}\\\\\\arabasin{\\bar{{762}}} \\left(\\prescript{{482}}{{68}}{\\widetilde{{762}}}\\right)\\text{\\diwani{مـي}}-\\\\\\left( \\arabcos{\\prescript{}{{93}،{297}،{459.16}}{\\grave{{151}}}} \\times \\left(\\prescript{{459.16}}{}{{471.97}}\\right)\\text{\\diwani{ج}} \\bullet \\arabnlog{\\prescript{{170}}{{262}،{105}،{482}،{459.16}}{\\boldarabic{\\hat{{459.16}}}}} - \\prescript{{482}}{{65}}{\\acute{{431}}} \\bullet \\arabatan{\\prescript{{715.66}}{{762}،{759}}{\\arabvec{{762}}}} \\backslash \\left(\\prescript{}{{993}،\\text{\\takween{مـنـ}}،{608}،{846}}{{63}}\\right)\\text{\\diwani{مـخـ}}\\right)\\text{\\diwani{مـنـ}} \\end{array} \\right\\}=\\left| {482} ،{459.16} ،\\text{\\takween{مـنـ}} ،{762} \\right\\|\\prescript{\\left(5\\right)}{}{\\text{\\takween{يم}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 12584
}
|
[
{
"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{ر}}\n- VAR: l -> \\text{\\takween{ظة}}\n- VAR: v -> \\text{\\takween{خا}}\n- VAR: \\nu -> \\text{\\takween{ئة}}\n- VAR: \\chi -> \\text{\\takween{قم}}\n- VAR: i -> \\text{\\takween{ي}}\n- VAR: \\xi -> \\text{\\takween{ن}}\n- VAR: \\zeta -> \\text{\\takween{ثة}}\n- VAR: q -> \\text{\\takween{خا}}\n- VAR: f -> \\text{\\takween{ض}}\n- VAR: w -> \\text{\\takween{ديم}}\n- VAR: \\kappa -> \\text{\\takween{ما}}\n- VAR: \\eta -> \\text{\\takween{قة}}\n- VAR: \\eta -> \\text{\\takween{ري}}\n- VAR: z -> \\text{\\takween{ر}}\n- VAR: l -> \\text{\\takween{ظة}}\n- VAR: v -> \\text{\\takween{خا}}\n- VAR: \\nu -> \\text{\\takween{ئة}}\n- VAR: \\chi -> \\text{\\takween{قم}}\n- VAR: i -> \\text{\\takween{ي}}\n- VAR: \\xi -> \\text{\\takween{ن}}\n- VAR: \\zeta -> \\text{\\takween{ثة}}\n- VAR: q -> \\text{\\takween{خا}}\n- VAR: f -> \\text{\\takween{ض}}\n- VAR: w -> \\text{\\takween{ديم}}\n- VAR: \\kappa -> \\text{\\takween{ما}}\n- VAR: \\eta -> \\text{\\takween{قة}}\n- VAR: \\eta -> \\text{\\takween{ري}}\n- FUN: \\omega -> \\text{\\diwani{ن}}\n- FUN: Y -> \\text{\\diwani{شي}}\n- FUN: \\psi -> \\text{\\diwani{صو}}\n- FUN: h -> \\text{\\diwani{مـسـ}}\n- FUN: \\omega -> \\text{\\diwani{ن}}\n- FUN: Y -> \\text{\\diwani{شي}}\n- FUN: \\psi -> \\text{\\diwani{صو}}\n- FUN: h -> \\text{\\diwani{مـسـ}}\n\nConvert this:\n\\left|\\omega\\left(\\grave{z}_{l,138,v,591}\\right) \\dot{\\nu} + Y\\left(\\vec{\\chi}_{186}\\%\\right) 633^{571}\\right\\} \\geq \\sqrt[414.35]{\\underset{-\\infty}{\\overset{+\\infty}{\\sum}} \\left[\\psi\\left(\\csc\\left(183.20_{\\xi}\\right)\\right)\\right] \\log_{68.48}\\left(-h\\left(\\zeta_{505,680,890}^{638}\\right) \\times \\sin\\left(q_{754,965,609,800}\\right) \\coth\\left(f_{w}\\right) * \\cosh\\left(\\kappa_{893,81,\\eta,\\eta}^{398}\\right)\\right)}"
},
{
"role": "assistant",
"content": "\\arabsqrt{{414.35}}{ \\arablog{{68.48}}{ \\arabcosh{\\prescript{{398}}{\\text{\\takween{ري}}،\\text{\\takween{قة}}،{81}،{893}}{\\text{\\takween{ما}}}} * \\arabcoth{\\prescript{}{\\text{\\takween{ديم}}}{\\text{\\takween{ض}}}} \\arabsin{\\prescript{}{{800}،{609}،{965}،{754}}{\\text{\\takween{خا}}}} \\times \\left(\\prescript{{638}}{{890}،{680}،{505}}{\\text{\\takween{ثة}}}\\right)\\text{\\diwani{مـسـ}}-} \\left[\\left(\\arabcsc{\\prescript{}{\\text{\\takween{ن}}}{{183.20}}}\\right)\\text{\\diwani{صو}}\\right]\\arabsum{\\infty -}{\\infty +}} \\geq \\left\\{\\prescript{{571}}{}{{633}} \\left(٪\\prescript{}{{186}}{\\arabvec{\\text{\\takween{قم}}}}\\right)\\text{\\diwani{شي}} + \\dot{\\text{\\takween{ئة}}} \\left(\\prescript{}{{591}،\\text{\\takween{خا}}،{138}،\\text{\\takween{ظة}}}{\\grave{\\text{\\takween{ر}}}}\\right)\\text{\\diwani{ن}}\\right|"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 14918
}
|
[
{
"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{مـشـ}}\n- VAR: k -> \\text{\\takween{نـ}}\n- FUN: g -> \\text{\\diwani{كيم}}\n- FUN: \\sigma -> \\text{\\diwani{مـك}}\n- FUN: \\sigma -> \\text{\\diwani{طة}}\n- FUN: \\chi -> \\text{\\diwani{مـفـ}}\n- FUN: \\phi -> \\text{\\diwani{موش}}\n- FUN: \\tau -> \\text{\\diwani{مـل}}\n- FUN: h -> \\text{\\diwani{سه}}\n- FUN: \\phi -> \\text{\\diwani{موك}}\n- FUN: F -> \\text{\\diwani{ئه}}\n- FUN: H -> \\text{\\diwani{مـنـ}}\n- FUN: \\chi -> \\text{\\diwani{مـغ}}\n\nConvert this:\nk^{\\left(4\\right)} \\left[ o \\right] = \\frac{\\partial^{4}k}{\\partial o^{4}}\\left[ o \\right]=\\left\\{ \\begin{array}{l} -g\\left(863^{o}\\right) \\underline{801}_{o}^{o} + \\ln\\left(\\ddot{o}_{75,573,257}^{390}\\right)\\\\\\log_{o}\\left(\\sqrt[]{\\frac{\\sec\\left(531_{o,529}\\right) / \\sigma\\left(285_{o,o,o}^{333}\\right) \\cosh\\left(395_{680,345,o}^{o}\\right)}{\\sigma\\left(\\acute{578.43}_{532,296}\\right) \\cdot \\chi\\left(o_{o}^{182}\\right) / \\phi\\left(\\mathbf{464}_{442,459}^{128}\\right) \\tau\\left(\\vec{o}_{o}^{o}\\right)}} / \\underset{o}{\\overset{o}{\\sum}} \\left(-\\tan\\left(\\mathbf{883.31}^{527}\\right) + h\\left(o_{o,o,o}^{o}\\right) \\times \\ln\\left(o_{361}\\right) \\times -\\sec\\left(478_{915,o,o}\\right)\\right]\\right)\\\\\\log_{o}\\left(-\\phi\\left(\\check{638}_{292,536}^{o}\\right) \\bullet 791^{200}\\right)\\\\\\int_{-\\infty}^{+\\infty} \\coth\\left(457^{61}\\right) \\times \\tan\\left(\\hat{268}_{811,662,844}^{829}\\right) / F\\left(o_{861,o}\\right) * H\\left(o_{734,743}^{o}\\right) \\, \\partial o\\\\\\iint \\underset{o \\to o}{\\lim} \\left[\\chi\\left(\\ddot{550}\\right)\\right\\| \\, \\partial o \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\arabnlog{\\prescript{{390}}{{257}،{573}،{75}}{\\ddot{\\text{\\takween{مـشـ}}}}} + \\prescript{\\text{\\takween{مـشـ}}}{\\text{\\takween{مـشـ}}}{\\underline{{801}}} \\left(\\prescript{\\text{\\takween{مـشـ}}}{}{{863}}\\right)\\text{\\diwani{كيم}}-\\\\\\arablog{\\text{\\takween{مـشـ}}}{ \\left[ \\arabsec{\\prescript{}{\\text{\\takween{مـشـ}}،\\text{\\takween{مـشـ}}،{915}}{{478}}}- \\times \\arabnlog{\\prescript{}{{361}}{\\text{\\takween{مـشـ}}}} \\times \\left(\\prescript{\\text{\\takween{مـشـ}}}{\\text{\\takween{مـشـ}}،\\text{\\takween{مـشـ}}،\\text{\\takween{مـشـ}}}{\\text{\\takween{مـشـ}}}\\right)\\text{\\diwani{سه}} + \\arabtan{\\prescript{{527}}{}{\\boldarabic{{883.31}}}}-\\right)\\arabsum{\\text{\\takween{مـشـ}}}{\\text{\\takween{مـشـ}}} / \\arabsqrt{}{\\frac{\\arabcosh{\\prescript{\\text{\\takween{مـشـ}}}{\\text{\\takween{مـشـ}}،{345}،{680}}{{395}}} \\left(\\prescript{{333}}{\\text{\\takween{مـشـ}}،\\text{\\takween{مـشـ}}،\\text{\\takween{مـشـ}}}{{285}}\\right)\\text{\\diwani{مـك}} \\backslash \\arabsec{\\prescript{}{{529}،\\text{\\takween{مـشـ}}}{{531}}}}{\\left(\\prescript{\\text{\\takween{مـشـ}}}{\\text{\\takween{مـشـ}}}{\\arabvec{\\text{\\takween{مـشـ}}}}\\right)\\text{\\diwani{مـل}} \\left(\\prescript{{128}}{{459}،{442}}{\\boldarabic{{464}}}\\right)\\text{\\diwani{موش}} \\backslash \\left(\\prescript{{182}}{\\text{\\takween{مـشـ}}}{\\text{\\takween{مـشـ}}}\\right)\\text{\\diwani{مـفـ}} \\cdot \\left(\\prescript{}{{296}،{532}}{\\acute{{578.43}}}\\right)\\text{\\diwani{طة}}}}}\\\\\\arablog{\\text{\\takween{مـشـ}}}{\\prescript{{200}}{}{{791}} \\bullet \\left(\\prescript{\\text{\\takween{مـشـ}}}{{536}،{292}}{\\check{{638}}}\\right)\\text{\\diwani{موك}}-}\\\\\\text{\\takween{مـشـ}}{\\ad}\\left(\\prescript{\\text{\\takween{مـشـ}}}{{743}،{734}}{\\text{\\takween{مـشـ}}}\\right)\\text{\\diwani{مـنـ}} * \\left(\\prescript{}{\\text{\\takween{مـشـ}}،{861}}{\\text{\\takween{مـشـ}}}\\right)\\text{\\diwani{ئه}} \\backslash \\arabtan{\\prescript{{829}}{{844}،{662}،{811}}{\\hat{{268}}}} \\times \\arabcoth{\\prescript{{61}}{}{{457}}}\\arabint{\\infty -}{\\infty +}\\\\\\text{\\takween{مـشـ}}{\\ad}\\left\\|\\left(\\ddot{{550}}\\right)\\text{\\diwani{مـغ}}\\right]\\arablim{\\text{\\takween{مـشـ}}}{\\text{\\takween{مـشـ}}}\\iint \\end{array} \\right\\}=\\left[ \\text{\\takween{مـشـ}} \\right]\\frac{\\prescript{4}{}{\\text{\\takween{نـ}}}\\ad}{\\prescript{4}{}{\\text{\\takween{مـشـ}}}\\ad} = \\left[ \\text{\\takween{مـشـ}} \\right]\\prescript{\\left(4\\right)}{}{\\text{\\takween{نـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 3767
}
|
[
{
"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{قه}}\n- VAR: \\rho -> \\text{\\takween{حا}}\n\nConvert this:\n-\\cot\\left(\\vec{\\ddddot{a}}^{\\rho}\\right)"
},
{
"role": "assistant",
"content": "\\arabcot{\\prescript{\\text{\\takween{حا}}}{}{\\arabvec{\\ddddot{\\text{\\takween{قه}}}}}}-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 1500
}
|
[
{
"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: k -> \\text{\\takween{مـح}}\n- VAR: m -> \\text{\\takween{تي}}\n- VAR: f -> \\text{\\takween{موع}}\n- VAR: \\lambda -> \\text{\\takween{شـ}}\n- VAR: a -> \\text{\\takween{مـتـ}}\n- VAR: c -> \\text{\\takween{مـلـ}}\n- VAR: z -> \\text{\\takween{يو}}\n- VAR: \\phi -> \\text{\\takween{حو}}\n- VAR: \\mu -> \\text{\\takween{حو}}\n- VAR: \\delta -> \\text{\\takween{ها}}\n- VAR: x -> \\text{\\takween{ت}}\n- VAR: \\kappa -> \\text{\\takween{ي}}\n- VAR: \\theta -> \\text{\\takween{مـحـ}}\n- VAR: n -> \\text{\\takween{كه}}\n- VAR: s -> \\text{\\takween{مـجـ}}\n\nConvert this:\n\\left|s \\notin n\\right| \\cup \\left|\\theta \\subseteq c \\setminus \\kappa \\not\\ni x \\cup \\left[\\delta \\supsetneq c \\cup \\mu \\subset \\phi\\right|\\right| \\cap \\left|\\left\\langle\\lambda \\ni z\\right] \\setminus \\left\\langle\\left\\|\\lambda \\not\\ni c\\right\\} \\cap a \\subsetneq \\lambda\\right]\\right] = \\left(f \\supset m\\right) \\setminus \\left(k \\in \\gamma\\right)"
},
{
"role": "assistant",
"content": "\\left(\\text{\\takween{و}} \\in \\text{\\takween{مـح}}\\right) \\setminus \\left(\\text{\\takween{تي}} \\supset \\text{\\takween{موع}}\\right) = \\left[\\left[\\text{\\takween{شـ}} \\subsetneq \\text{\\takween{مـتـ}} \\cap \\left\\{\\text{\\takween{مـلـ}} \\not\\ni \\text{\\takween{شـ}}\\right\\|\\right\\rangle \\setminus \\left[\\text{\\takween{يو}} \\ni \\text{\\takween{شـ}}\\right\\rangle\\right| \\cap \\left|\\left|\\text{\\takween{حو}} \\subset \\text{\\takween{حو}} \\cup \\text{\\takween{مـلـ}} \\supsetneq \\text{\\takween{ها}}\\right] \\cup \\text{\\takween{ت}} \\not\\ni \\text{\\takween{ي}} \\setminus \\text{\\takween{مـلـ}} \\subseteq \\text{\\takween{مـحـ}}\\right| \\cup \\left|\\text{\\takween{كه}} \\notin \\text{\\takween{مـجـ}}\\right|"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 7045
}
|
[
{
"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: \\xi -> \\text{\\takween{مـي}}\n- VAR: h -> \\text{\\takween{مـش}}\n- VAR: \\epsilon -> \\text{\\takween{ثيم}}\n- VAR: o -> \\text{\\takween{كا}}\n- VAR: \\omega -> \\text{\\takween{مـئ}}\n- VAR: \\epsilon -> \\text{\\takween{عة}}\n\nConvert this:\n\\begin{align} \\xi &>& h \\\\ 939 &>& \\epsilon \\\\ 506 &>& 708 \\\\ 493 &>& -o \\\\ \\omega &>& \\epsilon \\end{align}"
},
{
"role": "assistant",
"content": "\\begin{align} \\text{\\takween{مـش}} &>& \\text{\\takween{مـي}} \\\\ \\text{\\takween{ثيم}} &>& {939} \\\\ {708} &>& {506} \\\\ \\text{\\takween{كا}}- &>& {493} \\\\ \\text{\\takween{عة}} &>& \\text{\\takween{مـئ}} \\end{align}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 12622
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\kappa -> \\text{\\takween{به}}\n- VAR: v -> \\text{\\takween{جم}}\n- FUN: G -> \\text{\\diwani{غة}}\n- FUN: g -> \\text{\\diwani{ق}}\n- FUN: \\psi -> \\text{\\diwani{ئه}}\n- FUN: \\phi -> \\text{\\diwani{مـن}}\n\nConvert this:\nv'' \\left\\{ \\kappa, 85.32 \\right] = \\frac{\\partial^{2}v}{\\partial \\kappa^{2}}\\left\\{ \\kappa, 85.32 \\right]=\\left\\{ \\begin{array}{l} \\left(G\\left(\\vec{\\grave{\\kappa}}_{\\kappa,85.32,672,85.32}^{832}\\right)\\right|\\\\\\sqrt[]{g\\left(\\overline{15}_{965,\\kappa,442,\\kappa}^{571.64}\\right) + \\psi\\left(\\mathbf{\\ddot{85.32}}_{\\kappa,565,204}^{\\kappa}\\right)}\\\\\\lim_{85.32 \\to +\\infty} \\left\\langle\\left(\\phi\\left(\\acute{883}_{85.32}\\right) + \\cos\\left(\\dot{85.32}_{\\kappa,709}^{646.79}\\right)\\right)^{-\\kappa}\\right] \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left|\\left(\\prescript{{832}}{{85.32}،{672}،{85.32}،\\text{\\takween{به}}}{\\arabvec{\\grave{\\text{\\takween{به}}}}}\\right)\\text{\\diwani{غة}}\\right)\\\\\\arabsqrt{}{\\left(\\prescript{\\text{\\takween{به}}}{{204}،{565}،\\text{\\takween{به}}}{\\boldarabic{\\ddot{{85.32}}}}\\right)\\text{\\diwani{ئه}} + \\left(\\prescript{{571.64}}{\\text{\\takween{به}}،{442}،\\text{\\takween{به}}،{965}}{\\overline{{15}}}\\right)\\text{\\diwani{ق}}}\\\\\\left[\\prescript{\\text{\\takween{به}}-}{}{\\left(\\arabcos{\\prescript{{646.79}}{{709}،\\text{\\takween{به}}}{\\dot{{85.32}}}} + \\left(\\prescript{}{{85.32}}{\\acute{{883}}}\\right)\\text{\\diwani{مـن}}\\right)}\\right\\rangle\\arablim{{85.32}}{\\infty +} \\end{array} \\right\\}=\\left[ {85.32} ،\\text{\\takween{به}} \\right\\}\\frac{\\prescript{2}{}{\\text{\\takween{جم}}}\\ad}{\\prescript{2}{}{\\text{\\takween{به}}}\\ad} = \\left[ {85.32} ،\\text{\\takween{به}} \\right\\}``\\!\\!\\text{\\takween{جم}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 10920
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\kappa -> \\text{\\takween{سي}}\n- VAR: \\lambda -> \\text{\\takween{م}}\n- VAR: \\chi -> \\text{\\takween{بي}}\n- VAR: f -> \\text{\\takween{نو}}\n- FUN: \\phi -> \\text{\\diwani{مـلـ}}\n\nConvert this:\nf^{\\left(1\\right)} \\left| \\kappa, \\lambda, \\chi, 664 \\right] = \\frac{\\partial f}{\\partial \\lambda}\\left| \\kappa, \\lambda, \\chi, 664 \\right]=\\phi\\left(\\prod_{-\\infty}^{+\\infty} \\left|\\csc\\left(\\kappa_{829}\\right)\\right]\\right)"
},
{
"role": "assistant",
"content": "\\left(\\left[\\arabcsc{\\prescript{}{{829}}{\\text{\\takween{سي}}}}\\right|\\arabprod{\\infty -}{\\infty +}\\right)\\text{\\diwani{مـلـ}}=\\left[ {664} ،\\text{\\takween{بي}} ،\\text{\\takween{م}} ،\\text{\\takween{سي}} \\right|\\frac{\\text{\\takween{نو}}\\ad}{\\text{\\takween{م}}\\ad} = \\left[ {664} ،\\text{\\takween{بي}} ،\\text{\\takween{م}} ،\\text{\\takween{سي}} \\right|\\prescript{\\left(1\\right)}{}{\\text{\\takween{نو}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 2356
}
|
[
{
"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} 9011 & 2187 \\\\ 6989 & 8077 \\\\ 5239 & 8737 \\\\ 1874 & 798 \\\\ 4261 & 7688 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 2187 & 9011 \\\\ 8077 & 6989 \\\\ 8737 & 5239 \\\\ 798 & 1874 \\\\ 7688 & 4261 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 2592
}
|
[
{
"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{نـ}}\n- VAR: \\mu -> \\text{\\takween{مـيـ}}\n- VAR: c -> \\text{\\takween{مـصـ}}\n- VAR: \\xi -> \\text{\\takween{سة}}\n- VAR: \\gamma -> \\text{\\takween{زيم}}\n- VAR: \\theta -> \\text{\\takween{به}}\n- VAR: v -> \\text{\\takween{مـغـ}}\n- VAR: \\theta -> \\text{\\takween{به}}\n- VAR: l -> \\text{\\takween{مـطـ}}\n- VAR: v -> \\text{\\takween{تو}}\n- VAR: \\epsilon -> \\text{\\takween{ظي}}\n- VAR: d -> \\text{\\takween{بي}}\n- VAR: r -> \\text{\\takween{جو}}\n- VAR: k -> \\text{\\takween{شة}}\n- VAR: b -> \\text{\\takween{ما}}\n- VAR: \\lambda -> \\text{\\takween{مـث}}\n- VAR: \\sigma -> \\text{\\takween{ب}}\n- VAR: \\nu -> \\text{\\takween{مـسـ}}\n- VAR: \\partial -> \\text{\\takween{جة}}\n- VAR: \\epsilon -> \\text{\\takween{مـل}}\n- VAR: s -> \\text{\\takween{كه}}\n- VAR: v -> \\text{\\takween{دي}}\n- VAR: \\theta -> \\text{\\takween{خا}}\n- VAR: \\gamma -> \\text{\\takween{ئا}}\n- VAR: \\nu -> \\text{\\takween{مـض}}\n- VAR: \\psi -> \\text{\\takween{يـ}}\n- VAR: t -> \\text{\\takween{جة}}\n- VAR: w -> \\text{\\takween{ما}}\n- VAR: k -> \\text{\\takween{مـسـ}}\n- VAR: \\phi -> \\text{\\takween{ما}}\n- VAR: \\xi -> \\text{\\takween{مـلـ}}\n- VAR: t -> \\text{\\takween{نـ}}\n- VAR: \\mu -> \\text{\\takween{مـيـ}}\n- VAR: c -> \\text{\\takween{مـصـ}}\n- VAR: \\xi -> \\text{\\takween{سة}}\n- VAR: \\gamma -> \\text{\\takween{زيم}}\n- VAR: \\theta -> \\text{\\takween{به}}\n- VAR: v -> \\text{\\takween{مـغـ}}\n- VAR: \\theta -> \\text{\\takween{به}}\n- VAR: l -> \\text{\\takween{مـطـ}}\n- VAR: v -> \\text{\\takween{تو}}\n- VAR: \\epsilon -> \\text{\\takween{ظي}}\n- VAR: d -> \\text{\\takween{بي}}\n- VAR: r -> \\text{\\takween{جو}}\n- VAR: k -> \\text{\\takween{شة}}\n- VAR: b -> \\text{\\takween{ما}}\n- VAR: \\lambda -> \\text{\\takween{مـث}}\n- VAR: \\sigma -> \\text{\\takween{ب}}\n- VAR: \\nu -> \\text{\\takween{مـسـ}}\n- VAR: \\partial -> \\text{\\takween{جة}}\n- VAR: \\epsilon -> \\text{\\takween{مـل}}\n- VAR: s -> \\text{\\takween{كه}}\n- VAR: v -> \\text{\\takween{دي}}\n- VAR: \\theta -> \\text{\\takween{خا}}\n- VAR: \\gamma -> \\text{\\takween{ئا}}\n- VAR: \\nu -> \\text{\\takween{مـض}}\n- VAR: \\psi -> \\text{\\takween{يـ}}\n- VAR: t -> \\text{\\takween{جة}}\n- VAR: w -> \\text{\\takween{ما}}\n- VAR: k -> \\text{\\takween{مـسـ}}\n- VAR: \\phi -> \\text{\\takween{ما}}\n- VAR: \\xi -> \\text{\\takween{مـلـ}}\n- FUN: \\sigma -> \\text{\\diwani{جه}}\n- FUN: F -> \\text{\\diwani{مـط}}\n- FUN: \\omega -> \\text{\\diwani{موش}}\n- FUN: h -> \\text{\\diwani{نـ}}\n- FUN: \\sigma -> \\text{\\diwani{ت}}\n- FUN: F -> \\text{\\diwani{مـل}}\n- FUN: \\chi -> \\text{\\diwani{مـخـ}}\n- FUN: \\sigma -> \\text{\\diwani{جه}}\n- FUN: F -> \\text{\\diwani{مـط}}\n- FUN: \\omega -> \\text{\\diwani{موش}}\n- FUN: h -> \\text{\\diwani{نـ}}\n- FUN: \\sigma -> \\text{\\diwani{ت}}\n- FUN: F -> \\text{\\diwani{مـل}}\n- FUN: \\chi -> \\text{\\diwani{مـخـ}}\n\nConvert this:\n\\underset{t \\to +\\infty}{\\lim} \\left[\\left(\\underset{\\mu \\to +\\infty}{\\lim} \\left\\langle\\sigma\\left(\\hat{c}_{\\gamma,955}^{\\xi}\\%\\right) * -F\\left(\\theta\\right) \\sinh\\left(\\mathbf{v}_{102}^{442}\\right)\\right\\}\\right)^{\\left(\\underset{\\theta \\to +\\infty}{\\lim} \\left\\|\\omega\\left(\\ddddot{135}_{l,489,217}\\right) - \\cot\\left(903.94_{967,v}\\right) \\cosh\\left(\\widetilde{537.15}_{d,785,644,r}^{\\epsilon}\\right) * h\\left(\\dot{985.26}_{139,k,b}\\%\\right)\\right]\\right)^{-\\sigma\\left(\\check{\\lambda}_{666,\\sigma}^{328.98}\\right) \\sin\\left(38.45_{\\nu,\\partial,\\epsilon}\\right) \\bullet \\cosh\\left(\\widetilde{155.06}_{197,655}^{s}\\right) \\cdot \\sinh\\left(\\breve{v}_{11,340,\\gamma,\\nu}^{\\theta}\\right) \\times -164_{312,\\psi} \\times \\arcsin\\left(\\grave{283}_{t,180}^{276}\\right)}}\\right\\} \\equiv \\sqrt[582]{F\\left(477_{w,k,912,510}\\right) \\bullet \\chi\\left(\\phi_{\\xi}\\right) \\arctan\\left(340.47\\right)}"
},
{
"role": "assistant",
"content": "\\arabsqrt{{582}}{\\arabatan{{340.47}} \\left(\\prescript{}{\\text{\\takween{مـلـ}}}{\\text{\\takween{ما}}}\\right)\\text{\\diwani{مـخـ}} \\bullet \\left(\\prescript{}{{510}،{912}،\\text{\\takween{مـسـ}}،\\text{\\takween{ما}}}{{477}}\\right)\\text{\\diwani{مـل}}} \\equiv \\left\\{\\prescript{\\prescript{ \\arabasin{\\prescript{{276}}{{180}،\\text{\\takween{جة}}}{\\grave{{283}}}} \\times \\prescript{}{\\text{\\takween{يـ}}،{312}}{{164}}- \\times \\arabsinh{\\prescript{\\text{\\takween{خا}}}{\\text{\\takween{مـض}}،\\text{\\takween{ئا}}،{340}،{11}}{\\breve{\\text{\\takween{دي}}}}} \\cdot \\arabcosh{\\prescript{\\text{\\takween{كه}}}{{655}،{197}}{\\widetilde{{155.06}}}} \\bullet \\arabsin{\\prescript{}{\\text{\\takween{مـل}}،\\text{\\takween{جة}}،\\text{\\takween{مـسـ}}}{{38.45}}} \\left(\\prescript{{328.98}}{\\text{\\takween{ب}}،{666}}{\\check{\\text{\\takween{مـث}}}}\\right)\\text{\\diwani{ت}}-}{}{\\left(\\left[\\left(٪\\prescript{}{\\text{\\takween{ما}}،\\text{\\takween{شة}}،{139}}{\\dot{{985.26}}}\\right)\\text{\\diwani{نـ}} * \\arabcosh{\\prescript{\\text{\\takween{ظي}}}{\\text{\\takween{جو}}،{644}،{785}،\\text{\\takween{بي}}}{\\widetilde{{537.15}}}} \\arabcot{\\prescript{}{\\text{\\takween{تو}}،{967}}{{903.94}}} - \\left(\\prescript{}{{217}،{489}،\\text{\\takween{مـطـ}}}{\\ddddot{{135}}}\\right)\\text{\\diwani{موش}}\\right\\|\\arablim{\\text{\\takween{به}}}{\\infty +}\\right)}}{}{\\left(\\left\\{ \\arabsinh{\\prescript{{442}}{{102}}{\\boldarabic{\\text{\\takween{مـغـ}}}}} \\left(\\text{\\takween{به}}\\right)\\text{\\diwani{مـط}}- * \\left(٪\\prescript{\\text{\\takween{سة}}}{{955}،\\text{\\takween{زيم}}}{\\hat{\\text{\\takween{مـصـ}}}}\\right)\\text{\\diwani{جه}}\\right\\rangle\\arablim{\\text{\\takween{مـيـ}}}{\\infty +}\\right)}\\right]\\arablim{\\text{\\takween{نـ}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 430
}
|
[
{
"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{سا}}\n- VAR: \\gamma -> \\text{\\takween{ثي}}\n- VAR: l -> \\text{\\takween{صا}}\n- VAR: \\eta -> \\text{\\takween{يا}}\n- VAR: v -> \\text{\\takween{مـث}}\n- VAR: b -> \\text{\\takween{هيم}}\n- VAR: \\epsilon -> \\text{\\takween{كه}}\n- VAR: b -> \\text{\\takween{شه}}\n- VAR: \\lambda -> \\text{\\takween{ثـ}}\n- VAR: x -> \\text{\\takween{مـط}}\n- VAR: \\lambda -> \\text{\\takween{مو}}\n- VAR: \\epsilon -> \\text{\\takween{ز}}\n- VAR: f -> \\text{\\takween{ظـ}}\n- VAR: \\nu -> \\text{\\takween{صه}}\n- VAR: \\kappa -> \\text{\\takween{كي}}\n- VAR: \\kappa -> \\text{\\takween{ئه}}\n- VAR: p -> \\text{\\takween{ه}}\n- VAR: \\epsilon -> \\text{\\takween{موع}}\n- VAR: \\iota -> \\text{\\takween{صم}}\n- FUN: \\chi -> \\text{\\diwani{مـطـ}}\n\nConvert this:\n\\begin{pmatrix} -934 & n & \\gamma & l \\\\ 361 & 873 & -\\eta & -v \\\\ \\frac{\\sin\\left(\\vec{432.36}_{b,953,261}^{391}\\right)}{-\\chi\\left(\\hat{\\epsilon}_{357,b,665,\\lambda}\\right)} & x & \\lambda & -458.22 \\\\ \\epsilon & \\vdots & f & -\\nu \\\\ -839 & \\kappa & \\kappa & p \\\\ & \\epsilon & -\\iota & 680.80 \\end{pmatrix}"
},
{
"role": "assistant",
"content": "\\begin{pmatrix} \\text{\\takween{صا}} & \\text{\\takween{ثي}} & \\text{\\takween{سا}} & {934}- \\\\ \\text{\\takween{مـث}}- & \\text{\\takween{يا}}- & {873} & {361} \\\\ {458.22}- & \\text{\\takween{مو}} & \\text{\\takween{مـط}} & \\frac{\\arabsin{\\prescript{{391}}{{261}،{953}،\\text{\\takween{هيم}}}{\\arabvec{{432.36}}}}}{\\left(\\prescript{}{\\text{\\takween{ثـ}}،{665}،\\text{\\takween{شه}}،{357}}{\\hat{\\text{\\takween{كه}}}}\\right)\\text{\\diwani{مـطـ}}-} \\\\ \\text{\\takween{صه}}- & \\text{\\takween{ظـ}} & \\vdots & \\text{\\takween{ز}} \\\\ \\text{\\takween{ه}} & \\text{\\takween{ئه}} & \\text{\\takween{كي}} & {839}- \\\\ {680.80} & \\text{\\takween{صم}}- & \\text{\\takween{موع}} & \\end{pmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 8659
}
|
[
{
"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{مـظـ}}\n- VAR: \\kappa -> \\text{\\takween{يي}}\n- VAR: \\eta -> \\text{\\takween{ثه}}\n- VAR: j -> \\text{\\takween{ظو}}\n- VAR: \\omicron -> \\text{\\takween{شـ}}\n- VAR: o -> \\text{\\takween{مـثـ}}\n- VAR: \\beta -> \\text{\\takween{مـظـ}}\n- VAR: v -> \\text{\\takween{ج}}\n- VAR: \\zeta -> \\text{\\takween{ضه}}\n- VAR: p -> \\text{\\takween{هه}}\n- VAR: \\beta -> \\text{\\takween{لم}}\n- VAR: i -> \\text{\\takween{مـفـ}}\n- FUN: f -> \\text{\\diwani{خـ}}\n\nConvert this:\n\\begin{pmatrix} -\\partial & \\kappa & 366 & 330 & -166 & \\eta \\\\ 424 & 840 & j & 84 & 639 & 143 \\\\ 311.77 & \\omicron & -f\\left(\\vec{\\mathbf{o}}_{\\beta,864,104}\\right) & 864 & -v & -687 \\\\ 706 & -\\zeta & p & 590 & \\beta & i \\end{pmatrix}"
},
{
"role": "assistant",
"content": "\\begin{pmatrix} \\text{\\takween{ثه}} & {166}- & {330} & {366} & \\text{\\takween{يي}} & \\text{\\takween{مـظـ}}- \\\\ {143} & {639} & {84} & \\text{\\takween{ظو}} & {840} & {424} \\\\ {687}- & \\text{\\takween{ج}}- & {864} & \\left(\\prescript{}{{104}،{864}،\\text{\\takween{مـظـ}}}{\\arabvec{\\boldarabic{\\text{\\takween{مـثـ}}}}}\\right)\\text{\\diwani{خـ}}- & \\text{\\takween{شـ}} & {311.77} \\\\ \\text{\\takween{مـفـ}} & \\text{\\takween{لم}} & {590} & \\text{\\takween{هه}} & \\text{\\takween{ضه}}- & {706} \\end{pmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 8938
}
|
[
{
"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{يا}}\n- VAR: \\iota -> \\text{\\takween{مـسـ}}\n- VAR: \\partial -> \\text{\\takween{جة}}\n- VAR: \\zeta -> \\text{\\takween{نو}}\n- VAR: f -> \\text{\\takween{موت}}\n- VAR: \\rho -> \\text{\\takween{ه}}\n- VAR: v -> \\text{\\takween{مـج}}\n- VAR: s -> \\text{\\takween{مـغـ}}\n- VAR: o -> \\text{\\takween{ئ}}\n- VAR: \\epsilon -> \\text{\\takween{دي}}\n- VAR: e -> \\text{\\takween{طي}}\n- VAR: \\kappa -> \\text{\\takween{يو}}\n- VAR: \\tau -> \\text{\\takween{طه}}\n- VAR: \\chi -> \\text{\\takween{با}}\n- VAR: \\delta -> \\text{\\takween{س}}\n- VAR: \\omicron -> \\text{\\takween{صم}}\n- FUN: Z -> \\text{\\diwani{موئ}}\n- FUN: Z -> \\text{\\diwani{قه}}\n- FUN: \\omega -> \\text{\\diwani{مـتـ}}\n- FUN: \\omega -> \\text{\\diwani{خ}}\n- FUN: X -> \\text{\\diwani{س}}\n\nConvert this:\n\\oiint \\frac{Z\\left(\\iota_{248,956}^{\\partial}\\%\\right) \\cos\\left(\\zeta\\right) \\arccos\\left(f_{\\rho}^{557}\\right) * -Z\\left(v^{s}\\right) \\times \\omega\\left(\\vec{o}_{e,\\kappa}^{\\epsilon}\\right) \\bullet \\arctan\\left(\\ddot{554}_{549}\\right)}{\\iiint \\left\\{ \\omega\\left(\\mathbf{871}_{\\delta,235,50,\\omicron}^{\\chi}\\right) / X\\left(\\mathbf{51.57}_{528}\\right) \\, \\partial \\tau\\right\\}} \\, \\partial s"
},
{
"role": "assistant",
"content": "\\text{\\takween{يا}}{\\ad}\\frac{ \\arabatan{\\prescript{}{{549}}{\\ddot{{554}}}} \\bullet \\left(\\prescript{\\text{\\takween{دي}}}{\\text{\\takween{يو}}،\\text{\\takween{طي}}}{\\arabvec{\\text{\\takween{ئ}}}}\\right)\\text{\\diwani{مـتـ}} \\times \\left(\\prescript{\\text{\\takween{مـغـ}}}{}{\\text{\\takween{مـج}}}\\right)\\text{\\diwani{قه}}- * \\arabacos{\\prescript{{557}}{\\text{\\takween{ه}}}{\\text{\\takween{موت}}}} \\arabcos{\\text{\\takween{نو}}} \\left(٪\\prescript{\\text{\\takween{جة}}}{{956}،{248}}{\\text{\\takween{مـسـ}}}\\right)\\text{\\diwani{موئ}}}{\\left\\{\\text{\\takween{طه}}{\\ad}\\left(\\prescript{}{{528}}{\\boldarabic{{51.57}}}\\right)\\text{\\diwani{س}} \\backslash \\left(\\prescript{\\text{\\takween{با}}}{\\text{\\takween{صم}}،{50}،{235}،\\text{\\takween{س}}}{\\boldarabic{{871}}}\\right)\\text{\\diwani{خ}}\\right\\}\\iiint}\\oiint"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 1662
}
|
[
{
"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{ت}}\n- VAR: r -> \\text{\\takween{عه}}\n- VAR: o -> \\text{\\takween{موت}}\n- VAR: a -> \\text{\\takween{مـحـ}}\n- VAR: b -> \\text{\\takween{نـ}}\n- VAR: \\omega -> \\text{\\takween{ثا}}\n\nConvert this:\n\\omega \\supsetneq b = a \\not\\ni o \\triangle \\left(r \\subset q\\right)"
},
{
"role": "assistant",
"content": "\\left(\\text{\\takween{ت}} \\subset \\text{\\takween{عه}}\\right) \\triangle \\text{\\takween{موت}} \\not\\ni \\text{\\takween{مـحـ}} = \\text{\\takween{نـ}} \\supsetneq \\text{\\takween{ثا}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 10167
}
|
[
{
"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{فه}}\n- VAR: \\xi -> \\text{\\takween{بـ}}\n- VAR: \\iota -> \\text{\\takween{ح}}\n- VAR: n -> \\text{\\takween{مـض}}\n- VAR: \\omicron -> \\text{\\takween{قا}}\n- VAR: v -> \\text{\\takween{حي}}\n- VAR: b -> \\text{\\takween{ظ}}\n- VAR: c -> \\text{\\takween{شيم}}\n\nConvert this:\nb \\not\\ni c = \\left\\|b \\notin b\\right\\rangle \\setminus \\left\\|v \\supsetneq \\omicron\\right\\rangle \\cap \\left(n \\notin \\iota\\right) \\setminus \\left(\\xi \\not\\ni a\\right)"
},
{
"role": "assistant",
"content": "\\left(\\text{\\takween{فه}} \\not\\ni \\text{\\takween{بـ}}\\right) \\setminus \\left(\\text{\\takween{ح}} \\notin \\text{\\takween{مـض}}\\right) \\cap \\left\\langle\\text{\\takween{قا}} \\supsetneq \\text{\\takween{حي}}\\right\\| \\setminus \\left\\langleb \\notin \\text{\\takween{ظ}}\\right\\| = \\text{\\takween{شيم}} \\not\\ni \\text{\\takween{ظ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 13291
}
|
[
{
"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{مـش}}\n- VAR: \\alpha -> \\text{\\takween{هي}}\n- VAR: \\tau -> \\text{\\takween{ط}}\n- VAR: n -> \\text{\\takween{خة}}\n- VAR: e -> \\text{\\takween{ئو}}\n- VAR: x -> \\text{\\takween{مـنـ}}\n\nConvert this:\nx \\not\\ni e = \\left\\{n \\nsubseteq \\tau\\right] \\triangle \\alpha \\not\\ni u"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـش}} \\not\\ni \\text{\\takween{هي}} \\triangle \\left[\\text{\\takween{ط}} \\nsubseteq \\text{\\takween{خة}}\\right\\} = \\text{\\takween{ئو}} \\not\\ni \\text{\\takween{مـنـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 7957
}
|
[
{
"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{نا}}\n- VAR: \\omicron -> \\text{\\takween{مـقـ}}\n- VAR: \\lambda -> \\text{\\takween{مه}}\n- VAR: p -> \\text{\\takween{ري}}\n- VAR: c -> \\text{\\takween{مـشـ}}\n- VAR: \\xi -> \\text{\\takween{بي}}\n- VAR: w -> \\text{\\takween{هة}}\n- VAR: \\alpha -> \\text{\\takween{\\ad}}\n- VAR: \\tau -> \\text{\\takween{ليم}}\n- VAR: \\alpha -> \\text{\\takween{نا}}\n- VAR: \\omicron -> \\text{\\takween{مـقـ}}\n- VAR: \\lambda -> \\text{\\takween{مه}}\n- VAR: p -> \\text{\\takween{ري}}\n- VAR: c -> \\text{\\takween{مـشـ}}\n- VAR: \\xi -> \\text{\\takween{بي}}\n- VAR: w -> \\text{\\takween{هة}}\n- VAR: \\alpha -> \\text{\\takween{\\ad}}\n- VAR: \\tau -> \\text{\\takween{ليم}}\n- FUN: H -> \\text{\\diwani{صة}}\n- FUN: \\sigma -> \\text{\\diwani{ضا}}\n- FUN: H -> \\text{\\diwani{صة}}\n- FUN: \\sigma -> \\text{\\diwani{ضا}}\n\nConvert this:\n\\sqrt[\\omicron]{-H\\left(\\mathbf{\\alpha}\\right)} \\geq \\prod_{p}^{306} \\left(-c_{582,955,157,\\xi}\\right) + \\underset{w \\to +\\infty}{\\lim} \\left[\\sigma\\left(\\underline{329}\\right) / \\arccos\\left(\\alpha_{274,\\tau}\\right)\\right|"
},
{
"role": "assistant",
"content": " \\left|\\arabacos{\\prescript{}{\\text{\\takween{ليم}}،{274}}{\\text{\\takween{\\ad}}}} \\backslash \\left(\\underline{{329}}\\right)\\text{\\diwani{ضا}}\\right]\\arablim{\\text{\\takween{هة}}}{\\infty +} + \\left(\\prescript{}{\\text{\\takween{بي}}،{157}،{955}،{582}}{\\text{\\takween{مـشـ}}}-\\right)\\arabprod{\\text{\\takween{ري}}}{{306}} \\geq \\arabsqrt{\\text{\\takween{مـقـ}}}{\\left(\\boldarabic{\\text{\\takween{نا}}}\\right)\\text{\\diwani{صة}}-}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 8563
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\omega -> \\text{\\takween{مـت}}\n- VAR: z -> \\text{\\takween{مـتـ}}\n- VAR: \\xi -> \\text{\\takween{ت}}\n- VAR: k -> \\text{\\takween{ظو}}\n- VAR: \\epsilon -> \\text{\\takween{مـحـ}}\n- VAR: w -> \\text{\\takween{حو}}\n- VAR: q -> \\text{\\takween{مـطـ}}\n- VAR: \\tau -> \\text{\\takween{فا}}\n- VAR: \\chi -> \\text{\\takween{نـ}}\n- VAR: v -> \\text{\\takween{طي}}\n- VAR: \\phi -> \\text{\\takween{د}}\n- VAR: \\partial -> \\text{\\takween{مـتـ}}\n- VAR: \\iota -> \\text{\\takween{ق}}\n- VAR: \\lambda -> \\text{\\takween{شـ}}\n\nConvert this:\n\\lambda \\supset \\iota \\cup \\left(\\left\\langle\\partial \\nsupseteq k\\right\\| \\setminus q \\subseteq \\phi \\setminus \\left\\{\\left\\|v \\subseteq \\chi\\right] \\triangle \\tau \\not\\ni q\\right)\\right\\} \\triangle \\left\\|\\xi \\not\\ni w\\right] \\cap \\left|\\epsilon \\in o\\right\\rangle \\cup \\left|k \\subseteq \\xi\\right\\rangle = z \\in \\omega"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـت}} \\in \\text{\\takween{مـتـ}} = \\left\\langle\\text{\\takween{ت}} \\subseteq \\text{\\takween{ظو}}\\right| \\cup \\left\\langleo \\in \\text{\\takween{مـحـ}}\\right| \\cap \\left[\\text{\\takween{حو}} \\not\\ni \\text{\\takween{ت}}\\right\\| \\triangle \\left\\{\\left(\\text{\\takween{مـطـ}} \\not\\ni \\text{\\takween{فا}} \\triangle \\left[\\text{\\takween{نـ}} \\subseteq \\text{\\takween{طي}}\\right\\|\\right\\} \\setminus \\text{\\takween{د}} \\subseteq \\text{\\takween{مـطـ}} \\setminus \\left\\|\\text{\\takween{ظو}} \\nsupseteq \\text{\\takween{مـتـ}}\\right\\rangle\\right) \\cup \\text{\\takween{ق}} \\supset \\text{\\takween{شـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 4117
}
|
[
{
"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{6477}{-6300} & \\frac{6051}{-782} \\\\ \\frac{8244}{2668} & \\frac{7590}{1461} \\\\ \\frac{6776}{-2490} & \\frac{4111}{8968} \\\\ \\frac{8208}{-2171} & \\frac{2329}{-5453} \\\\ \\frac{-5705}{-2286} & \\frac{4279}{9767} \\\\ \\frac{4887}{9872} & \\frac{8832}{2343} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\frac{6051}{782-} & \\frac{6477}{6300-} \\\\ \\frac{7590}{1461} & \\frac{8244}{2668} \\\\ \\frac{4111}{8968} & \\frac{6776}{2490-} \\\\ \\frac{2329}{5453-} & \\frac{8208}{2171-} \\\\ \\frac{4279}{9767} & \\frac{5705-}{2286-} \\\\ \\frac{8832}{2343} & \\frac{4887}{9872} \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 7590
}
|
[
{
"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{كم}}\n- VAR: h -> \\text{\\takween{ظي}}\n\nConvert this:\nh \\left\\{ y, 336.25, 229 \\right\\rangle=\\frac{\\int -\\cosh\\left(y_{121}^{260}\\right) - \\ln\\left(704_{336.25,y}\\right) \\, \\partial y}{\\sqrt[588]{-229_{336.25,193}^{614}}}"
},
{
"role": "assistant",
"content": "\\frac{\\text{\\takween{كم}}{\\ad}\\arabnlog{\\prescript{}{\\text{\\takween{كم}}،{336.25}}{{704}}} - \\arabcosh{\\prescript{{260}}{{121}}{\\text{\\takween{كم}}}}-\\int}{\\arabsqrt{{588}}{\\prescript{{614}}{{193}،{336.25}}{{229}}-}}=\\left\\langle {229} ،{336.25} ،\\text{\\takween{كم}} \\right\\}\\text{\\takween{ظي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 7600
}
|
[
{
"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{شو}}\n- VAR: c -> \\text{\\takween{ر}}\n- VAR: \\psi -> \\text{\\takween{لم}}\n- VAR: \\kappa -> \\text{\\takween{مـئـ}}\n- VAR: \\theta -> \\text{\\takween{سي}}\n- VAR: \\omicron -> \\text{\\takween{موص}}\n- VAR: \\delta -> \\text{\\takween{غه}}\n- VAR: x -> \\text{\\takween{سة}}\n- VAR: h -> \\text{\\takween{شو}}\n- VAR: c -> \\text{\\takween{ر}}\n- VAR: \\psi -> \\text{\\takween{لم}}\n- VAR: \\kappa -> \\text{\\takween{مـئـ}}\n- VAR: \\theta -> \\text{\\takween{سي}}\n- VAR: \\omicron -> \\text{\\takween{موص}}\n- VAR: \\delta -> \\text{\\takween{غه}}\n- VAR: x -> \\text{\\takween{سة}}\n- FUN: X -> \\text{\\diwani{ئا}}\n- FUN: X -> \\text{\\diwani{ئا}}\n\nConvert this:\n\\log_{968.39}\\left(X\\left(\\acute{h}\\right) / -612_{c}^{180}\\right) = \\frac{\\log_{\\theta}\\left(-\\tanh\\left(\\psi_{\\kappa,17}^{280}\\right)\\right)}{\\log_{x}\\left(\\sin\\left(\\omicron_{940,\\delta}^{296}\\right)\\right)}"
},
{
"role": "assistant",
"content": "\\frac{\\arablog{\\text{\\takween{سي}}}{\\arabtanh{\\prescript{{280}}{{17}،\\text{\\takween{مـئـ}}}{\\text{\\takween{لم}}}}-}}{\\arablog{\\text{\\takween{سة}}}{\\arabsin{\\prescript{{296}}{\\text{\\takween{غه}}،{940}}{\\text{\\takween{موص}}}}}} = \\arablog{{968.39}}{ \\prescript{{180}}{\\text{\\takween{ر}}}{{612}}- / \\left(\\acute{\\text{\\takween{شو}}}\\right)\\text{\\diwani{ئا}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 288
}
|
[
{
"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{عا}}\n- VAR: o -> \\text{\\takween{صو}}\n- VAR: \\chi -> \\text{\\takween{تو}}\n- VAR: f -> \\text{\\takween{ثا}}\n- VAR: \\kappa -> \\text{\\takween{ثه}}\n- VAR: p -> \\text{\\takween{ع}}\n- VAR: z -> \\text{\\takween{خ}}\n- VAR: \\epsilon -> \\text{\\takween{فو}}\n- VAR: d -> \\text{\\takween{شا}}\n- VAR: \\nu -> \\text{\\takween{مـحـ}}\n- VAR: k -> \\text{\\takween{مـحـ}}\n- VAR: \\epsilon -> \\text{\\takween{مـتـ}}\n- VAR: \\lambda -> \\text{\\takween{ظة}}\n- VAR: s -> \\text{\\takween{يو}}\n- VAR: \\nu -> \\text{\\takween{بة}}\n- VAR: \\alpha -> \\text{\\takween{مـف}}\n- VAR: g -> \\text{\\takween{عا}}\n- VAR: o -> \\text{\\takween{صو}}\n- VAR: \\chi -> \\text{\\takween{تو}}\n- VAR: f -> \\text{\\takween{ثا}}\n- VAR: \\kappa -> \\text{\\takween{ثه}}\n- VAR: p -> \\text{\\takween{ع}}\n- VAR: z -> \\text{\\takween{خ}}\n- VAR: \\epsilon -> \\text{\\takween{فو}}\n- VAR: d -> \\text{\\takween{شا}}\n- VAR: \\nu -> \\text{\\takween{مـحـ}}\n- VAR: k -> \\text{\\takween{مـحـ}}\n- VAR: \\epsilon -> \\text{\\takween{مـتـ}}\n- VAR: \\lambda -> \\text{\\takween{ظة}}\n- VAR: s -> \\text{\\takween{يو}}\n- VAR: \\nu -> \\text{\\takween{بة}}\n- VAR: \\alpha -> \\text{\\takween{مـف}}\n- FUN: H -> \\text{\\diwani{مـث}}\n- FUN: \\phi -> \\text{\\diwani{تيم}}\n- FUN: H -> \\text{\\diwani{مـث}}\n- FUN: \\phi -> \\text{\\diwani{تيم}}\n\nConvert this:\n\\sum_{g=-\\infty}^{+\\infty} \\left|-\\cosh\\left(275_{o,\\chi}^{833.28}\\right) \\sin\\left(\\dot{f}_{p,z,226}^{\\kappa}\\right) / H\\left(\\vec{\\dot{484.24}}^{\\epsilon}\\right) \\times \\phi\\left(d_{41}\\right)\\right\\} \\ne \\lim_{\\nu \\to 220.85^+} \\left\\{\\underset{-\\infty}{\\overset{+\\infty}{\\sum}} \\left(\\sum_{\\epsilon=\\lambda}^{+\\infty} \\left(\\log_{\\alpha}\\left(-s_{666,461,\\nu}\\right)\\right\\|\\right\\rangle\\right]"
},
{
"role": "assistant",
"content": "\\left[\\left\\langle\\left\\|\\arablog{\\text{\\takween{مـف}}}{\\prescript{}{\\text{\\takween{بة}}،{461}،{666}}{\\text{\\takween{يو}}}-}\\right)\\arabsum{\\text{\\takween{ظة}}=\\text{\\takween{مـتـ}}}{\\infty +}\\right)\\arabsum{\\infty -}{\\infty +}\\right\\}\\arablim{\\text{\\takween{مـحـ}}}{{}^{+}{220.85}} \\ne \\left\\{\\left(\\prescript{}{{41}}{\\text{\\takween{شا}}}\\right)\\text{\\diwani{تيم}} \\times \\left(\\prescript{\\text{\\takween{فو}}}{}{\\arabvec{\\dot{{484.24}}}}\\right)\\text{\\diwani{مـث}} \\backslash \\arabsin{\\prescript{\\text{\\takween{ثه}}}{{226}،\\text{\\takween{خ}}،\\text{\\takween{ع}}}{\\dot{\\text{\\takween{ثا}}}}} \\arabcosh{\\prescript{{833.28}}{\\text{\\takween{تو}}،\\text{\\takween{صو}}}{{275}}}-\\right|\\arabsum{\\infty -=\\text{\\takween{عا}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 11101
}
|
[
{
"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{حي}}\n- VAR: g -> \\text{\\takween{ضأ}}\n- VAR: \\tau -> \\text{\\takween{موت}}\n- VAR: \\omicron -> \\text{\\takween{ضا}}\n- VAR: b -> \\text{\\takween{هي}}\n- VAR: \\xi -> \\text{\\takween{مـك}}\n- VAR: j -> \\text{\\takween{ش}}\n\nConvert this:\n\\begin{align*} \\epsilon &\\bullet& 894.68 &\\bullet& \\ddots &\\bullet& g &\\bullet& 695 \\\\ 415.93 &\\bullet& 553 &\\bullet& 426 &\\bullet& -494 &\\bullet& -\\tau \\\\ \\omicron &\\bullet& b &\\bullet& \\xi &\\bullet& 984 &\\bullet& -j \\end{align*}"
},
{
"role": "assistant",
"content": "\\begin{align*} {695} & \\text{\\takween{ضأ}} & \\ddots & {894.68} & \\text{\\takween{حي}} \\\\ \\text{\\takween{موت}}- & {494}- & {426} & {553} & {415.93} \\\\ \\text{\\takween{ش}}- & {984} & \\text{\\takween{مـك}} & \\text{\\takween{هي}} & \\text{\\takween{ضا}} \\end{align*}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 11322
}
|
[
{
"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} -5979.841 -2942.036i & -5628.489 -9319.121i & -6188.205 +6138.240i \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ت}6138.240+ 6188.205- & \\text{ت}9319.121- 5628.489- & \\text{ت}2942.036- 5979.841- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 2867
}
|
[
{
"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: \\xi -> \\text{\\takween{ثا}}\n- VAR: s -> \\text{\\takween{مـت}}\n- VAR: a -> \\text{\\takween{فو}}\n- VAR: \\rho -> \\text{\\takween{مـلـ}}\n- VAR: \\eta -> \\text{\\takween{مـقـ}}\n- VAR: g -> \\text{\\takween{موص}}\n- VAR: p -> \\text{\\takween{تو}}\n- VAR: \\lambda -> \\text{\\takween{مـئـ}}\n\nConvert this:\n\\lambda \\ni p \\cup \\left(g \\nsupseteq \\eta\\right\\} = \\rho \\ni a \\cup s \\notin \\xi"
},
{
"role": "assistant",
"content": "\\text{\\takween{ثا}} \\notin \\text{\\takween{مـت}} \\cup \\text{\\takween{فو}} \\ni \\text{\\takween{مـلـ}} = \\left\\{\\text{\\takween{مـقـ}} \\nsupseteq \\text{\\takween{موص}}\\right) \\cup \\text{\\takween{تو}} \\ni \\text{\\takween{مـئـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 946
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: v -> \\text{\\takween{وي}}\n- VAR: o -> \\text{\\takween{مة}}\n- VAR: \\omega -> \\text{\\takween{صا}}\n- VAR: \\gamma -> \\text{\\takween{لي}}\n\nConvert this:\n\\gamma \\subset \\omega = o \\supset v"
},
{
"role": "assistant",
"content": "\\text{\\takween{وي}} \\supset \\text{\\takween{مة}} = \\text{\\takween{صا}} \\subset \\text{\\takween{لي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 9800
}
|
[
{
"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{ظيم}}\n- VAR: \\kappa -> \\text{\\takween{مـيـ}}\n\nConvert this:\n\\begin{array}{c} 127.77 \\\\ \\gamma \\\\ \\kappa \\\\ \\ddots \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{c} {127.77} \\\\ \\text{\\takween{ظيم}} \\\\ \\text{\\takween{مـيـ}} \\\\ \\ddots \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 2914
}
|
[
{
"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{مـغـ}}\n- VAR: o -> \\text{\\takween{ئـ}}\n- VAR: \\omicron -> \\text{\\takween{ئه}}\n- VAR: z -> \\text{\\takween{سة}}\n- VAR: \\epsilon -> \\text{\\takween{مـعـ}}\n- VAR: \\iota -> \\text{\\takween{بم}}\n- VAR: k -> \\text{\\takween{مـكـ}}\n- VAR: \\delta -> \\text{\\takween{قا}}\n- VAR: s -> \\text{\\takween{هـ}}\n- VAR: p -> \\text{\\takween{قا}}\n- VAR: \\lambda -> \\text{\\takween{ديم}}\n- VAR: \\omega -> \\text{\\takween{ل}}\n- VAR: i -> \\text{\\takween{ضي}}\n\nConvert this:\ni \\in \\omega \\cup \\left(\\lambda \\supseteq p\\right\\} = \\left\\{z \\supset s\\right) \\setminus \\left\\{\\delta \\supsetneq k \\cup \\left(\\iota \\notin \\epsilon\\right\\| \\setminus z \\nsubseteq \\omicron\\right) \\setminus o \\subset f"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـغـ}} \\subset \\text{\\takween{ئـ}} \\setminus \\left(\\text{\\takween{ئه}} \\nsubseteq \\text{\\takween{سة}} \\setminus \\left\\|\\text{\\takween{مـعـ}} \\notin \\text{\\takween{بم}}\\right) \\cup \\text{\\takween{مـكـ}} \\supsetneq \\text{\\takween{قا}}\\right\\} \\setminus \\left(\\text{\\takween{هـ}} \\supset \\text{\\takween{سة}}\\right\\} = \\left\\{\\text{\\takween{قا}} \\supseteq \\text{\\takween{ديم}}\\right) \\cup \\text{\\takween{ل}} \\in \\text{\\takween{ضي}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 7898
}
|
[
{
"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{تة}}\n- VAR: \\zeta -> \\text{\\takween{مـه}}\n- VAR: \\delta -> \\text{\\takween{مـقـ}}\n- FUN: \\chi -> \\text{\\diwani{ض}}\n- FUN: \\psi -> \\text{\\diwani{ب}}\n- FUN: G -> \\text{\\diwani{بة}}\n\nConvert this:\n\\delta^{\\left(5\\right)} \\left\\{ a, 238, 875.84, \\zeta \\right] = \\frac{\\partial^{5}\\delta}{\\partial \\zeta^{3} \\partial a^{2}}\\left\\{ a, 238, 875.84, \\zeta \\right]=\\left\\{ \\begin{array}{l} \\prod_{875.84=-\\infty}^{+\\infty} \\left\\langle\\left(\\chi\\left(39.14_{9,734,394,571}\\right) - \\psi\\left(113.03_{238,238,a}\\right)\\right)^{G\\left(238_{238,\\zeta,875.84}\\right)}\\right]\\\\\\cosh\\left(-\\sin\\left(722.79_{600,a,355}^{875.84}\\%\\right)\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left[\\prescript{\\left(\\prescript{}{{875.84}،\\text{\\takween{مـه}}،{238}}{{238}}\\right)\\text{\\diwani{بة}}}{}{\\left(\\left(\\prescript{}{\\text{\\takween{تة}}،{238}،{238}}{{113.03}}\\right)\\text{\\diwani{ب}} - \\left(\\prescript{}{{571}،{394}،{734}،{9}}{{39.14}}\\right)\\text{\\diwani{ض}}\\right)}\\right\\rangle\\arabprod{\\infty -={875.84}}{\\infty +}\\\\\\arabcosh{\\arabsin{٪\\prescript{{875.84}}{{355}،\\text{\\takween{تة}}،{600}}{{722.79}}}-} \\end{array} \\right\\}=\\left[ \\text{\\takween{مـه}} ،{875.84} ،{238} ،\\text{\\takween{تة}} \\right\\}\\frac{\\prescript{5}{}{\\text{\\takween{مـقـ}}}\\ad}{\\prescript{2}{}{\\text{\\takween{تة}}}\\ad \\prescript{3}{}{\\text{\\takween{مـه}}}\\ad} = \\left[ \\text{\\takween{مـه}} ،{875.84} ،{238} ،\\text{\\takween{تة}} \\right\\}\\prescript{\\left(5\\right)}{}{\\text{\\takween{مـقـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 5113
}
|
[
{
"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:\n1138 \\in \\mathbb{N}"
},
{
"role": "assistant",
"content": "\\arabN \\in 1138"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 8447
}
|
[
{
"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} 4746 & 6871 & 3316 \\\\ 5429 & 2194 & 304 \\\\ 1131 & 3282 & 8475 \\\\ 5267 & 1557 & 8396 \\\\ 7307 & 2404 & 5850 \\\\ 8557 & 6808 & 6588 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 3316 & 6871 & 4746 \\\\ 304 & 2194 & 5429 \\\\ 8475 & 3282 & 1131 \\\\ 8396 & 1557 & 5267 \\\\ 5850 & 2404 & 7307 \\\\ 6588 & 6808 & 8557 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 3315
}
|
[
{
"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{موئ}}\n- VAR: \\lambda -> \\text{\\takween{مـص}}\n- VAR: t -> \\text{\\takween{قا}}\n- VAR: \\chi -> \\text{\\takween{نه}}\n- VAR: b -> \\text{\\takween{ظة}}\n- VAR: \\epsilon -> \\text{\\takween{مـطـ}}\n- VAR: z -> \\text{\\takween{كا}}\n- VAR: \\sigma -> \\text{\\takween{مـئـ}}\n\nConvert this:\n\\begin{Vmatrix} -\\mu & -322 & 379 & 535 & \\lambda \\\\ -562 & -t & 143.03 & 212 & \\chi \\\\ & b & -\\epsilon & 13 & 480 \\\\ 495 & 98 & \\cdots & 976 & 582 \\\\ z & 802 & 372 & 364 & \\sigma \\end{Vmatrix}"
},
{
"role": "assistant",
"content": "\\begin{Vmatrix} \\text{\\takween{مـص}} & {535} & {379} & {322}- & \\text{\\takween{موئ}}- \\\\ \\text{\\takween{نه}} & {212} & {143.03} & \\text{\\takween{قا}}- & {562}- \\\\ {480} & {13} & \\text{\\takween{مـطـ}}- & \\text{\\takween{ظة}} & \\\\ {582} & {976} & \\cdots & {98} & {495} \\\\ \\text{\\takween{مـئـ}} & {364} & {372} & {802} & \\text{\\takween{كا}} \\end{Vmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 8062
}
|
[
{
"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} 8249 & -3973 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 3973- & 8249 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 5416
}
|
[
{
"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{جم}}\n- VAR: m -> \\text{\\takween{عه}}\n- VAR: \\gamma -> \\text{\\takween{موع}}\n- VAR: k -> \\text{\\takween{مـلـ}}\n- VAR: u -> \\text{\\takween{تة}}\n- VAR: q -> \\text{\\takween{ضأ}}\n- VAR: \\epsilon -> \\text{\\takween{مـطـ}}\n- VAR: q -> \\text{\\takween{صو}}\n- VAR: e -> \\text{\\takween{ظ}}\n- VAR: d -> \\text{\\takween{ريم}}\n- VAR: \\psi -> \\text{\\takween{كي}}\n- VAR: v -> \\text{\\takween{غيم}}\n- VAR: \\gamma -> \\text{\\takween{مـث}}\n- VAR: y -> \\text{\\takween{مي}}\n- VAR: \\iota -> \\text{\\takween{مـقـ}}\n- VAR: s -> \\text{\\takween{شيم}}\n- VAR: t -> \\text{\\takween{مـص}}\n- VAR: c -> \\text{\\takween{ش}}\n- VAR: k -> \\text{\\takween{يه}}\n- VAR: d -> \\text{\\takween{حيم}}\n- VAR: a -> \\text{\\takween{مو}}\n- VAR: k -> \\text{\\takween{ظة}}\n- VAR: e -> \\text{\\takween{موث}}\n- VAR: d -> \\text{\\takween{مـقـ}}\n- VAR: \\iota -> \\text{\\takween{ظي}}\n- VAR: \\nu -> \\text{\\takween{خا}}\n- VAR: a -> \\text{\\takween{موط}}\n- VAR: w -> \\text{\\takween{ئو}}\n- VAR: c -> \\text{\\takween{ه}}\n- VAR: h -> \\text{\\takween{مـضـ}}\n- VAR: \\delta -> \\text{\\takween{جم}}\n- VAR: m -> \\text{\\takween{عه}}\n- VAR: \\gamma -> \\text{\\takween{موع}}\n- VAR: k -> \\text{\\takween{مـلـ}}\n- VAR: u -> \\text{\\takween{تة}}\n- VAR: q -> \\text{\\takween{ضأ}}\n- VAR: \\epsilon -> \\text{\\takween{مـطـ}}\n- VAR: q -> \\text{\\takween{صو}}\n- VAR: e -> \\text{\\takween{ظ}}\n- VAR: d -> \\text{\\takween{ريم}}\n- VAR: \\psi -> \\text{\\takween{كي}}\n- VAR: v -> \\text{\\takween{غيم}}\n- VAR: \\gamma -> \\text{\\takween{مـث}}\n- VAR: y -> \\text{\\takween{مي}}\n- VAR: \\iota -> \\text{\\takween{مـقـ}}\n- VAR: s -> \\text{\\takween{شيم}}\n- VAR: t -> \\text{\\takween{مـص}}\n- VAR: c -> \\text{\\takween{ش}}\n- VAR: k -> \\text{\\takween{يه}}\n- VAR: d -> \\text{\\takween{حيم}}\n- VAR: a -> \\text{\\takween{مو}}\n- VAR: k -> \\text{\\takween{ظة}}\n- VAR: e -> \\text{\\takween{موث}}\n- VAR: d -> \\text{\\takween{مـقـ}}\n- VAR: \\iota -> \\text{\\takween{ظي}}\n- VAR: \\nu -> \\text{\\takween{خا}}\n- VAR: a -> \\text{\\takween{موط}}\n- VAR: w -> \\text{\\takween{ئو}}\n- VAR: c -> \\text{\\takween{ه}}\n- VAR: h -> \\text{\\takween{مـضـ}}\n- FUN: g -> \\text{\\diwani{ك}}\n- FUN: \\phi -> \\text{\\diwani{نا}}\n- FUN: g -> \\text{\\diwani{ظيم}}\n- FUN: X -> \\text{\\diwani{موش}}\n- FUN: H -> \\text{\\diwani{هو}}\n- FUN: X -> \\text{\\diwani{قا}}\n- FUN: f -> \\text{\\diwani{وي}}\n- FUN: g -> \\text{\\diwani{ك}}\n- FUN: \\phi -> \\text{\\diwani{نا}}\n- FUN: g -> \\text{\\diwani{ظيم}}\n- FUN: X -> \\text{\\diwani{موش}}\n- FUN: H -> \\text{\\diwani{هو}}\n- FUN: X -> \\text{\\diwani{قا}}\n- FUN: f -> \\text{\\diwani{وي}}\n\nConvert this:\n\\exp\\left(\\vec{\\tilde{270}}_{\\delta}^{779.51}\\right) -g\\left(\\vec{m}_{\\gamma,k}\\right) \\equiv \\frac{\\underset{-\\infty}{\\overset{942.12}{\\sum}} \\left\\{\\int_{103.31}^{\\gamma} \\left( \\left(-\\phi\\left(\\vec{\\mathbf{\\epsilon}}_{857,223,286,369}^{407}\\right) / g\\left(\\vec{q}_{e,d}^{712}\\right)\\right)^{X\\left(\\ddddot{769}^{\\psi}\\right) \\exp\\left(v_{858,267,3}\\right)} \\, \\partial q\\right\\|\\right\\rangle}{\\left(\\left(-\\ln\\left(44\\right)\\right)^{\\cosh\\left(707.67_{y,\\iota}^{819.00}\\right) + H\\left(\\dot{s}_{843}^{t}\\right) \\cdot \\coth\\left(\\underline{c}_{d}^{k}\\right) / \\sin\\left(\\vec{991}^{581}\\%\\right)} \\sqrt[621]{-\\overline{341}_{a,k} * X\\left(\\overline{842}_{e,d,\\iota}\\right)}\\right)^{\\prod_{\\nu=789}^{799.61} \\left[\\frac{\\sin\\left(\\mathbf{\\dddot{988}}^{a}\\right) \\arccos\\left(509_{c,889,676}^{w}\\right)}{\\arcsin\\left(\\ddddot{689}^{274}\\right) f\\left(681_{6,641,594}^{649.02}\\right) \\bullet \\cot\\left(\\check{429}_{h,432}^{395.93}\\right)}\\right\\|}}"
},
{
"role": "assistant",
"content": "\\frac{\\left\\langle\\left\\|\\text{\\takween{ضأ}}{\\ad}\\prescript{\\arabexp{\\prescript{}{{3}،{267}،{858}}{\\text{\\takween{غيم}}}} \\left(\\prescript{\\text{\\takween{كي}}}{}{\\ddddot{{769}}}\\right)\\text{\\diwani{موش}}}{}{\\left(\\left(\\prescript{{712}}{\\text{\\takween{ريم}}،\\text{\\takween{ظ}}}{\\arabvec{\\text{\\takween{صو}}}}\\right)\\text{\\diwani{ظيم}} \\backslash \\left(\\prescript{{407}}{{369}،{286}،{223}،{857}}{\\arabvec{\\boldarabic{\\text{\\takween{مـطـ}}}}}\\right)\\text{\\diwani{نا}}-\\right)}\\right)\\arabint{{103.31}}{\\text{\\takween{مـث}}}\\right\\}\\arabsum{\\infty -}{{942.12}}}{\\prescript{\\left\\|\\frac{\\arabacos{\\prescript{\\text{\\takween{ئو}}}{{676}،{889}،\\text{\\takween{ه}}}{{509}}} \\arabsin{\\prescript{\\text{\\takween{موط}}}{}{\\boldarabic{\\dddot{{988}}}}}}{\\arabcot{\\prescript{{395.93}}{{432}،\\text{\\takween{مـضـ}}}{\\check{{429}}}} \\bullet \\left(\\prescript{{649.02}}{{594}،{641}،{6}}{{681}}\\right)\\text{\\diwani{وي}} \\arabasin{\\prescript{{274}}{}{\\ddddot{{689}}}}}\\right]\\arabprod{{789}=\\text{\\takween{خا}}}{{799.61}}}{}{\\left( \\arabsqrt{{621}}{\\left(\\prescript{}{\\text{\\takween{ظي}}،\\text{\\takween{مـقـ}}،\\text{\\takween{موث}}}{\\overline{{842}}}\\right)\\text{\\diwani{قا}} * \\prescript{}{\\text{\\takween{ظة}}،\\text{\\takween{مو}}}{\\overline{{341}}}-} \\prescript{\\arabsin{٪\\prescript{{581}}{}{\\arabvec{{991}}}} \\backslash \\arabcoth{\\prescript{\\text{\\takween{يه}}}{\\text{\\takween{حيم}}}{\\underline{\\text{\\takween{ش}}}}} \\cdot \\left(\\prescript{\\text{\\takween{مـص}}}{{843}}{\\dot{\\text{\\takween{شيم}}}}\\right)\\text{\\diwani{هو}} + \\arabcosh{\\prescript{{819.00}}{\\text{\\takween{مـقـ}}،\\text{\\takween{مي}}}{{707.67}}}}{}{\\left(\\arabnlog{{44}}-\\right)}\\right)}} \\equiv \\left(\\prescript{}{\\text{\\takween{مـلـ}}،\\text{\\takween{موع}}}{\\arabvec{\\text{\\takween{عه}}}}\\right)\\text{\\diwani{ك}}- \\arabexp{\\prescript{{779.51}}{\\text{\\takween{جم}}}{\\arabvec{\\tilde{{270}}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 14314
}
|
[
{
"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{-653}{-8954} & \\frac{-9660}{7619} & \\frac{-6879}{784} & \\frac{9784}{5482} & \\frac{-8967}{3850} \\\\ \\frac{-4097}{2812} & \\frac{-6609}{-9964} & \\frac{-7118}{6466} & \\frac{-2188}{7174} & \\frac{-7644}{6971} \\\\ \\frac{5986}{1096} & \\frac{3878}{-5516} & \\frac{-6984}{-713} & \\frac{-9195}{-3205} & \\frac{-8029}{-6053} \\\\ \\frac{-8392}{-3229} & \\frac{-4667}{-1885} & \\frac{5099}{8901} & \\frac{-7745}{505} & \\frac{8864}{7430} \\\\ \\frac{-4086}{-1203} & \\frac{4999}{5178} & \\frac{5031}{2541} & \\frac{-9116}{-7428} & \\frac{-6777}{-8861} \\\\ \\frac{-3286}{8141} & \\frac{4546}{7903} & \\frac{-6444}{-1314} & \\frac{-6113}{4979} & \\frac{4309}{-7264} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\frac{8967-}{3850} & \\frac{9784}{5482} & \\frac{6879-}{784} & \\frac{9660-}{7619} & \\frac{653-}{8954-} \\\\ \\frac{7644-}{6971} & \\frac{2188-}{7174} & \\frac{7118-}{6466} & \\frac{6609-}{9964-} & \\frac{4097-}{2812} \\\\ \\frac{8029-}{6053-} & \\frac{9195-}{3205-} & \\frac{6984-}{713-} & \\frac{3878}{5516-} & \\frac{5986}{1096} \\\\ \\frac{8864}{7430} & \\frac{7745-}{505} & \\frac{5099}{8901} & \\frac{4667-}{1885-} & \\frac{8392-}{3229-} \\\\ \\frac{6777-}{8861-} & \\frac{9116-}{7428-} & \\frac{5031}{2541} & \\frac{4999}{5178} & \\frac{4086-}{1203-} \\\\ \\frac{4309}{7264-} & \\frac{6113-}{4979} & \\frac{6444-}{1314-} & \\frac{4546}{7903} & \\frac{3286-}{8141} \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 3115
}
|
[
{
"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} 5903 & 3686 & 406 & 5985 & 7459 & 9182 \\\\ 5211 & 9881 & 9539 & 4744 & 5169 & 6861 \\\\ 3729 & 7248 & 7987 & 3610 & 5817 & 3407 \\\\ 3372 & 6860 & 1336 & 9533 & 8141 & 4229 \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} 9182 & 7459 & 5985 & 406 & 3686 & 5903 \\\\ 6861 & 5169 & 4744 & 9539 & 9881 & 5211 \\\\ 3407 & 5817 & 3610 & 7987 & 7248 & 3729 \\\\ 4229 & 8141 & 9533 & 1336 & 6860 & 3372 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 9586
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\kappa -> \\text{\\takween{شو}}\n- VAR: \\omicron -> \\text{\\takween{مـهـ}}\n- VAR: w -> \\text{\\takween{سي}}\n- VAR: \\epsilon -> \\text{\\takween{و}}\n- VAR: y -> \\text{\\takween{ضع}}\n- VAR: t -> \\text{\\takween{ئ}}\n\nConvert this:\n\\begin{align} 486 &\\bullet& \\kappa &\\bullet& 375 \\\\ -685 &\\bullet& -791 &\\bullet& \\left|-\\cos\\left(\\omicron_{w,403,83}^{446}\\right)\\right| \\\\ 686 &\\bullet& -955 &\\bullet& 249 \\\\ -\\epsilon &\\bullet& 11 &\\bullet& 256 \\\\ 995 &\\bullet& y &\\bullet& t \\\\ 664.29 &\\bullet& -414 &\\bullet& 879 \\end{align}"
},
{
"role": "assistant",
"content": "\\begin{align} {375} &\\bullet& \\text{\\takween{شو}} &\\bullet& {486} \\\\ \\left|\\arabcos{\\prescript{{446}}{{83}،{403}،\\text{\\takween{سي}}}{\\text{\\takween{مـهـ}}}}-\\right| &\\bullet& {791}- &\\bullet& {685}- \\\\ {249} &\\bullet& {955}- &\\bullet& {686} \\\\ {256} &\\bullet& {11} &\\bullet& \\text{\\takween{و}}- \\\\ \\text{\\takween{ئ}} &\\bullet& \\text{\\takween{ضع}} &\\bullet& {995} \\\\ {879} &\\bullet& {414}- &\\bullet& {664.29} \\end{align}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 2044
}
|
[
{
"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{يا}}\n- VAR: \\eta -> \\text{\\takween{يه}}\n- VAR: w -> \\text{\\takween{مـضـ}}\n- VAR: e -> \\text{\\takween{يا}}\n- VAR: \\eta -> \\text{\\takween{يه}}\n- VAR: w -> \\text{\\takween{مـضـ}}\n- FUN: X -> \\text{\\diwani{ضيم}}\n- FUN: \\tau -> \\text{\\diwani{ن}}\n- FUN: X -> \\text{\\diwani{ضيم}}\n- FUN: \\tau -> \\text{\\diwani{ن}}\n\nConvert this:\nX\\left(\\dddot{e}_{\\eta,582}\\right) = \\sqrt[w]{-\\tau\\left(940.56\\right)}"
},
{
"role": "assistant",
"content": "\\arabsqrt{\\text{\\takween{مـضـ}}}{\\left({940.56}\\right)\\text{\\diwani{ن}}-} = \\left(\\prescript{}{{582}،\\text{\\takween{يه}}}{\\dddot{\\text{\\takween{يا}}}}\\right)\\text{\\diwani{ضيم}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 4212
}
|
[
{
"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{ص}}\n- VAR: \\psi -> \\text{\\takween{مـغـ}}\n\nConvert this:\n\\begin{matrix} -266.33 & g \\\\ 868 & \\psi \\end{matrix}"
},
{
"role": "assistant",
"content": "\\begin{matrix} \\text{\\takween{ص}} & {266.33}- \\\\ \\text{\\takween{مـغـ}} & {868} \\end{matrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 3015
}
|
[
{
"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{ديم}}\n\nConvert this:\n\\begin{array}{rr} -215 & \\psi \\\\ 413 & -151 \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{ll} \\text{\\takween{ديم}} & {215}- \\\\ {151}- & {413} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 6413
}
|
[
{
"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{تو}}\n- VAR: \\rho -> \\text{\\takween{ثه}}\n- VAR: \\phi -> \\text{\\takween{عه}}\n- VAR: i -> \\text{\\takween{يو}}\n- VAR: s -> \\text{\\takween{خيم}}\n- VAR: a -> \\text{\\takween{تو}}\n- VAR: \\rho -> \\text{\\takween{ثه}}\n- VAR: \\phi -> \\text{\\takween{عه}}\n- VAR: i -> \\text{\\takween{يو}}\n- VAR: s -> \\text{\\takween{خيم}}\n- FUN: Y -> \\text{\\diwani{مـه}}\n- FUN: h -> \\text{\\diwani{قو}}\n- FUN: Y -> \\text{\\diwani{حي}}\n- FUN: Y -> \\text{\\diwani{مـه}}\n- FUN: h -> \\text{\\diwani{قو}}\n- FUN: Y -> \\text{\\diwani{حي}}\n\nConvert this:\n\\left(\\frac{Y\\left(169_{822,549,a,999}\\right)}{\\arctan\\left(\\mathbf{\\rho}_{270,\\phi,899}^{688}\\right)}\\right)^{\\left(-\\underline{529}_{i,291,464}\\right)^{h\\left(\\dot{3}_{696}\\right)}} > \\int -Y\\left(660_{927}^{605}\\right) \\, \\partial s"
},
{
"role": "assistant",
"content": "\\text{\\takween{خيم}}{\\ad}\\left(\\prescript{{605}}{{927}}{{660}}\\right)\\text{\\diwani{حي}}-\\int > \\prescript{\\prescript{\\left(\\prescript{}{{696}}{\\dot{{3}}}\\right)\\text{\\diwani{قو}}}{}{\\left(\\prescript{}{{464}،{291}،\\text{\\takween{يو}}}{\\underline{{529}}}-\\right)}}{}{\\left(\\frac{\\left(\\prescript{}{{999}،\\text{\\takween{تو}}،{549}،{822}}{{169}}\\right)\\text{\\diwani{مـه}}}{\\arabatan{\\prescript{{688}}{{899}،\\text{\\takween{عه}}،{270}}{\\boldarabic{\\text{\\takween{ثه}}}}}}\\right)}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 4412
}
|
[
{
"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{ريم}}\n- VAR: \\psi -> \\text{\\takween{مـخ}}\n- VAR: \\zeta -> \\text{\\takween{وي}}\n\nConvert this:\n\\begin{array}{ccrlr} -z & 454 & \\vdots & -415.33 & 805 \\\\ \\psi & 865 & 356 & \\zeta & 51 \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{cclrl} {805} & {415.33}- & \\vdots & {454} & \\text{\\takween{ريم}}- \\\\ {51} & \\text{\\takween{وي}} & {356} & {865} & \\text{\\takween{مـخ}} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 2422
}
|
[
{
"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-3303.906 \\in \\mathbb{R}"
},
{
"role": "assistant",
"content": "\\arabR \\in 3303.906-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 8002
}
|
[
{
"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{مـسـ}}\n- VAR: \\omicron -> \\text{\\takween{و}}\n- VAR: \\epsilon -> \\text{\\takween{جه}}\n- VAR: y -> \\text{\\takween{ثه}}\n- VAR: \\zeta -> \\text{\\takween{ئـ}}\n- VAR: \\nu -> \\text{\\takween{مـيـ}}\n- VAR: \\xi -> \\text{\\takween{ط}}\n- VAR: \\omega -> \\text{\\takween{عا}}\n- VAR: \\lambda -> \\text{\\takween{م}}\n- VAR: \\iota -> \\text{\\takween{مه}}\n- VAR: i -> \\text{\\takween{ض}}\n- VAR: d -> \\text{\\takween{سي}}\n- VAR: j -> \\text{\\takween{م}}\n- VAR: o -> \\text{\\takween{مـثـ}}\n- VAR: t -> \\text{\\takween{شي}}\n- VAR: \\mu -> \\text{\\takween{مـحـ}}\n- VAR: b -> \\text{\\takween{موك}}\n- VAR: p -> \\text{\\takween{قي}}\n- VAR: s -> \\text{\\takween{مـجـ}}\n- VAR: e -> \\text{\\takween{موظ}}\n- VAR: \\kappa -> \\text{\\takween{صم}}\n- VAR: m -> \\text{\\takween{حا}}\n- VAR: k -> \\text{\\takween{ثـ}}\n- VAR: \\beta -> \\text{\\takween{و}}\n- VAR: q -> \\text{\\takween{ضو}}\n- VAR: \\chi -> \\text{\\takween{غيم}}\n- VAR: \\psi -> \\text{\\takween{مـح}}\n\nConvert this:\n\\psi \\subset q \\cap \\left\\|\\left(\\chi \\not\\ni q \\triangle m \\notin \\beta\\right\\} \\cup \\left(y \\ni k\\right\\}\\right] \\setminus \\left\\|\\left[m \\nsubseteq \\kappa\\right\\rangle \\cup s \\ni e \\cap \\left|s \\notin p\\right]\\right] = \\left(b \\not\\ni \\mu \\triangle j \\ni t \\cap o \\in \\zeta \\triangle j \\not\\ni d \\triangle \\left\\langlei \\nsubseteq \\iota \\setminus \\left|\\lambda \\supset \\omicron\\right]\\right\\|\\right) \\setminus \\left[\\omega \\in \\xi \\cup \\nu \\notin \\zeta \\triangle \\left\\{y \\subsetneq \\epsilon\\right)\\right\\} \\triangle \\left[\\omicron \\supseteq \\delta\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\text{\\takween{مـسـ}} \\supseteq \\text{\\takween{و}}\\right] \\triangle \\left\\{\\left(\\text{\\takween{جه}} \\subsetneq \\text{\\takween{ثه}}\\right\\} \\triangle \\text{\\takween{ئـ}} \\notin \\text{\\takween{مـيـ}} \\cup \\text{\\takween{ط}} \\in \\text{\\takween{عا}}\\right] \\setminus \\left(\\left\\|\\left[\\text{\\takween{و}} \\supset \\text{\\takween{م}}\\right| \\setminus \\text{\\takween{مه}} \\nsubseteq \\text{\\takween{ض}}\\right\\rangle \\triangle \\text{\\takween{سي}} \\not\\ni \\text{\\takween{م}} \\triangle \\text{\\takween{ئـ}} \\in \\text{\\takween{مـثـ}} \\cap \\text{\\takween{شي}} \\ni \\text{\\takween{م}} \\triangle \\text{\\takween{مـحـ}} \\not\\ni \\text{\\takween{موك}}\\right) = \\left[\\left[\\text{\\takween{قي}} \\notin \\text{\\takween{مـجـ}}\\right| \\cap \\text{\\takween{موظ}} \\ni \\text{\\takween{مـجـ}} \\cup \\left\\langle\\text{\\takween{صم}} \\nsubseteq \\text{\\takween{حا}}\\right]\\right\\| \\setminus \\left[\\left\\{\\text{\\takween{ثـ}} \\ni \\text{\\takween{ثه}}\\right) \\cup \\left\\{\\text{\\takween{و}} \\notin \\text{\\takween{حا}} \\triangle \\text{\\takween{ضو}} \\not\\ni \\text{\\takween{غيم}}\\right)\\right\\| \\cap \\text{\\takween{ضو}} \\subset \\text{\\takween{مـح}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 7352
}
|
[
{
"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{ضيم}}\n- VAR: e -> \\text{\\takween{عو}}\n- VAR: \\lambda -> \\text{\\takween{تو}}\n- VAR: c -> \\text{\\takween{شي}}\n- VAR: g -> \\text{\\takween{جو}}\n- VAR: \\sigma -> \\text{\\takween{بم}}\n\nConvert this:\n\\sigma \\nsubseteq g = c \\ni \\lambda \\cup e \\ni k"
},
{
"role": "assistant",
"content": "\\text{\\takween{ضيم}} \\ni \\text{\\takween{عو}} \\cup \\text{\\takween{تو}} \\ni \\text{\\takween{شي}} = \\text{\\takween{جو}} \\nsubseteq \\text{\\takween{بم}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 1976
}
|
[
{
"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{مـثـ}}\n- VAR: \\kappa -> \\text{\\takween{مـض}}\n- VAR: o -> \\text{\\takween{حو}}\n\nConvert this:\n\\begin{pmatrix} \\tau & \\kappa & 851 \\\\ 567 & o & \\ddots \\end{pmatrix}"
},
{
"role": "assistant",
"content": "\\begin{pmatrix} {851} & \\text{\\takween{مـض}} & \\text{\\takween{مـثـ}} \\\\ \\ddots & \\text{\\takween{حو}} & {567} \\end{pmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 5449
}
|
[
{
"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{مـس}}\n- VAR: g -> \\text{\\takween{به}}\n- VAR: o -> \\text{\\takween{مـغـ}}\n- FUN: h -> \\text{\\diwani{ر}}\n- FUN: F -> \\text{\\diwani{موط}}\n\nConvert this:\n\\sum_{z=589}^{g} \\left\\{F\\left(h\\left(\\ddddot{o}\\right)\\right)\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\left(\\left(\\ddddot{\\text{\\takween{مـغـ}}}\\right)\\text{\\diwani{ر}}\\right)\\text{\\diwani{موط}}\\right\\}\\arabsum{{589}=\\text{\\takween{مـس}}}{\\text{\\takween{به}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 9232
}
|
[
{
"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{مـش}}\n- VAR: \\kappa -> \\text{\\takween{مـظـ}}\n- VAR: \\nu -> \\text{\\takween{مـه}}\n- VAR: j -> \\text{\\takween{خه}}\n- VAR: \\chi -> \\text{\\takween{في}}\n- VAR: w -> \\text{\\takween{مـصـ}}\n- VAR: n -> \\text{\\takween{مـظـ}}\n- VAR: \\delta -> \\text{\\takween{شو}}\n- VAR: \\phi -> \\text{\\takween{ظيم}}\n- VAR: s -> \\text{\\takween{شا}}\n- VAR: \\phi -> \\text{\\takween{نا}}\n- FUN: f -> \\text{\\diwani{صة}}\n- FUN: \\chi -> \\text{\\diwani{موض}}\n- FUN: X -> \\text{\\diwani{ظه}}\n\nConvert this:\n\\int_{542}^{60} \\underset{-\\infty}{\\overset{762}{\\sum}} \\left|-\\arcsin\\left(\\check{775}^{516}\\right) / f\\left(\\vec{\\check{937}}_{\\nu,j,\\chi}\\right) - \\chi\\left(w_{572}^{n}\\right) - X\\left(931_{\\delta,\\phi,s,\\phi}\\right)\\right\\rangle \\, \\partial \\theta"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـش}}{\\ad}\\left\\langle\\left(\\prescript{}{\\text{\\takween{نا}}،\\text{\\takween{شا}}،\\text{\\takween{ظيم}}،\\text{\\takween{شو}}}{{931}}\\right)\\text{\\diwani{ظه}} - \\left(\\prescript{\\text{\\takween{مـظـ}}}{{572}}{\\text{\\takween{مـصـ}}}\\right)\\text{\\diwani{موض}} - \\left(\\prescript{}{\\text{\\takween{في}}،\\text{\\takween{خه}}،\\text{\\takween{مـه}}}{\\arabvec{\\check{{937}}}}\\right)\\text{\\diwani{صة}} \\backslash \\arabasin{\\prescript{{516}}{}{\\check{{775}}}}-\\right|\\arabsum{\\infty -}{{762}}\\arabint{{542}}{{60}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 6577
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\chi -> \\text{\\takween{مـحـ}}\n- VAR: q -> \\text{\\takween{موس}}\n- VAR: r -> \\text{\\takween{با}}\n- FUN: \\omega -> \\text{\\diwani{خا}}\n- FUN: \\sigma -> \\text{\\diwani{ظيم}}\n\nConvert this:\nr^{\\left(3\\right)} \\left\\{ \\chi, q \\right\\rangle = \\frac{\\partial^{3}r}{\\partial q^{3}}\\left\\{ \\chi, q \\right\\rangle=\\begin{bmatrix} \\exp\\left(\\vec{q}^{964.86}\\right)\\\\-\\arcsin\\left(\\dddot{q}_{955}\\right) + \\arccos\\left(\\overline{q}_{q,217,577,487}^{298}\\right) / \\arccos\\left(\\ddddot{\\chi}\\right) \\omega\\left(\\mathbf{q}\\%\\right)\\\\\\log_{920.33}\\left(\\int_{-\\infty}^{q} \\left\\langle -\\sigma\\left(\\mathbf{418}_{\\chi,15,\\chi}^{905.77}\\right) \\, \\partial \\chi\\right\\}\\right) \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\arabexp{\\prescript{{964.86}}{}{\\arabvec{\\text{\\takween{موس}}}}}\\\\ \\left(٪\\boldarabic{\\text{\\takween{موس}}}\\right)\\text{\\diwani{خا}} \\arabacos{\\ddddot{\\text{\\takween{مـحـ}}}} \\backslash \\arabacos{\\prescript{{298}}{{487}،{577}،{217}،\\text{\\takween{موس}}}{\\overline{\\text{\\takween{موس}}}}} + \\arabasin{\\prescript{}{{955}}{\\dddot{\\text{\\takween{موس}}}}}-\\\\\\arablog{{920.33}}{\\left\\{\\text{\\takween{مـحـ}}{\\ad}\\left(\\prescript{{905.77}}{\\text{\\takween{مـحـ}}،{15}،\\text{\\takween{مـحـ}}}{\\boldarabic{{418}}}\\right)\\text{\\diwani{ظيم}}-\\right\\rangle\\arabint{\\infty -}{\\text{\\takween{موس}}}} \\end{bmatrix}=\\left\\langle \\text{\\takween{موس}} ،\\text{\\takween{مـحـ}} \\right\\}\\frac{\\prescript{3}{}{\\text{\\takween{با}}}\\ad}{\\prescript{3}{}{\\text{\\takween{موس}}}\\ad} = \\left\\langle \\text{\\takween{موس}} ،\\text{\\takween{مـحـ}} \\right\\}\\prescript{\\left(3\\right)}{}{\\text{\\takween{با}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 7693
}
|
[
{
"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} -3863.231 +1589.712i & 5356.610 -9201.316i & 6489.114 -203.050i & -5329.217 +9208.892i \\\\ -8865.480 -4911.491i & -5365.973 -3381.092i & 6412.252 -5089.393i & 8817.087 -5236.141i \\\\ 9764.592 -496.244i & 4957.355 +3381.691i & -2038.618 +9412.011i & 3239.239 +5092.064i \\\\ 3022.608 +9813.894i & 9892.960 +1125.207i & 8013.224 +326.483i & -4842.467 +9528.459i \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ت}9208.892+ 5329.217- & \\text{ت}203.050- 6489.114 & \\text{ت}9201.316- 5356.610 & \\text{ت}1589.712+ 3863.231- \\\\ \\text{ت}5236.141- 8817.087 & \\text{ت}5089.393- 6412.252 & \\text{ت}3381.092- 5365.973- & \\text{ت}4911.491- 8865.480- \\\\ \\text{ت}5092.064+ 3239.239 & \\text{ت}9412.011+ 2038.618- & \\text{ت}3381.691+ 4957.355 & \\text{ت}496.244- 9764.592 \\\\ \\text{ت}9528.459+ 4842.467- & \\text{ت}326.483+ 8013.224 & \\text{ت}1125.207+ 9892.960 & \\text{ت}9813.894+ 3022.608 \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 3986
}
|
[
{
"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{موط}}\n- VAR: \\alpha -> \\text{\\takween{ظة}}\n- VAR: x -> \\text{\\takween{سا}}\n- VAR: \\lambda -> \\text{\\takween{له}}\n- VAR: f -> \\text{\\takween{جه}}\n- VAR: x -> \\text{\\takween{ظو}}\n- VAR: o -> \\text{\\takween{مـئ}}\n- VAR: u -> \\text{\\takween{ئه}}\n- VAR: \\lambda -> \\text{\\takween{يه}}\n- VAR: f -> \\text{\\takween{مـه}}\n- VAR: \\gamma -> \\text{\\takween{تة}}\n- VAR: \\nu -> \\text{\\takween{مـص}}\n- VAR: r -> \\text{\\takween{مـه}}\n- VAR: \\alpha -> \\text{\\takween{مـف}}\n- VAR: x -> \\text{\\takween{تيم}}\n- VAR: h -> \\text{\\takween{مـن}}\n- VAR: x -> \\text{\\takween{و}}\n- VAR: j -> \\text{\\takween{طـ}}\n- VAR: x -> \\text{\\takween{ص}}\n- VAR: r -> \\text{\\takween{مـئ}}\n- VAR: r -> \\text{\\takween{مـبـ}}\n- VAR: \\kappa -> \\text{\\takween{ع}}\n- VAR: \\partial -> \\text{\\takween{مـل}}\n- FUN: \\tau -> \\text{\\diwani{صي}}\n- FUN: G -> \\text{\\diwani{قة}}\n- FUN: G -> \\text{\\diwani{شة}}\n- FUN: \\omega -> \\text{\\diwani{مـضـ}}\n- FUN: g -> \\text{\\diwani{مـك}}\n- FUN: f -> \\text{\\diwani{مـخ}}\n- FUN: \\phi -> \\text{\\diwani{كا}}\n- FUN: \\sigma -> \\text{\\diwani{حـ}}\n\nConvert this:\n\\csc\\left(\\frac{-\\tau\\left(364.09_{\\alpha,x,591,\\lambda}^{\\nu}\\right)}{-G\\left(f_{x,683,5,o}\\right) \\cdot \\sin\\left(834_{387,u,686}^{913.29}\\right)} \\times \\underset{-\\infty}{\\overset{f}{\\prod}} \\left\\|-G\\left(\\tilde{184.99}_{\\gamma}\\right) - \\omega\\left(\\nu_{700}\\right)\\right\\rangle\\right) - \\sqrt[]{\\sum_{-\\infty}^{+\\infty} \\left[-\\sinh\\left(\\vec{\\widetilde{\\alpha}}\\right) \\cdot g\\left(x_{h,901,188}\\right)\\right\\}} \\phi\\left(-f\\left(\\underline{249.36}_{x}\\right)\\right) + \\int_{443}^{+\\infty} \\left\\langle \\sigma\\left(166_{r,r}^{x}\\right) \\coth\\left(124.57_{839,\\kappa,\\partial}^{510}\\right) \\, \\partial j\\right."
},
{
"role": "assistant",
"content": " \\left.\\text{\\takween{طـ}}{\\ad}\\arabcoth{\\prescript{{510}}{\\text{\\takween{مـل}}،\\text{\\takween{ع}}،{839}}{{124.57}}} \\left(\\prescript{\\text{\\takween{ص}}}{\\text{\\takween{مـبـ}}،\\text{\\takween{مـئ}}}{{166}}\\right)\\text{\\diwani{حـ}}\\right\\rangle\\arabint{{443}}{\\infty +} + \\left(\\left(\\prescript{}{\\text{\\takween{و}}}{\\underline{{249.36}}}\\right)\\text{\\diwani{مـخ}}-\\right)\\text{\\diwani{كا}} \\arabsqrt{}{\\left\\{\\left(\\prescript{}{{188}،{901}،\\text{\\takween{مـن}}}{\\text{\\takween{تيم}}}\\right)\\text{\\diwani{مـك}} \\cdot \\arabsinh{\\arabvec{\\widetilde{\\text{\\takween{مـف}}}}}-\\right]\\arabsum{\\infty -}{\\infty +}} - \\arabcsc{ \\left\\langle\\left(\\prescript{}{{700}}{\\text{\\takween{مـص}}}\\right)\\text{\\diwani{مـضـ}} - \\left(\\prescript{}{\\text{\\takween{تة}}}{\\tilde{{184.99}}}\\right)\\text{\\diwani{شة}}-\\right\\|\\arabprod{\\infty -}{\\text{\\takween{مـه}}} \\times \\frac{\\left(\\prescript{\\text{\\takween{موط}}}{\\text{\\takween{له}}،{591}،\\text{\\takween{سا}}،\\text{\\takween{ظة}}}{{364.09}}\\right)\\text{\\diwani{صي}}-}{\\arabsin{\\prescript{{913.29}}{{686}،\\text{\\takween{ئه}}،{387}}{{834}}} \\cdot \\left(\\prescript{}{\\text{\\takween{مـئ}}،{5}،{683}،\\text{\\takween{ظو}}}{\\text{\\takween{جه}}}\\right)\\text{\\diwani{قة}}-}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 14015
}
|
[
{
"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{ليم}}\n- VAR: \\rho -> \\text{\\takween{ضة}}\n- VAR: \\gamma -> \\text{\\takween{يي}}\n- VAR: f -> \\text{\\takween{يا}}\n- FUN: f -> \\text{\\diwani{مـخـ}}\n\nConvert this:\n\\log_{f}\\left(\\log_{977}\\left(-f\\left(225_{\\rho,\\gamma}^{g}\\right)\\right)\\right)"
},
{
"role": "assistant",
"content": "\\arablog{\\text{\\takween{يا}}}{\\arablog{{977}}{\\left(\\prescript{\\text{\\takween{ليم}}}{\\text{\\takween{يي}}،\\text{\\takween{ضة}}}{{225}}\\right)\\text{\\diwani{مـخـ}}-}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 2500
}
|
[
{
"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{قو}}\n- VAR: i -> \\text{\\takween{سا}}\n- VAR: v -> \\text{\\takween{مـن}}\n- VAR: h -> \\text{\\takween{ثي}}\n- VAR: n -> \\text{\\takween{صو}}\n- VAR: g -> \\text{\\takween{غا}}\n- VAR: k -> \\text{\\takween{يا}}\n- VAR: m -> \\text{\\takween{ض}}\n- VAR: z -> \\text{\\takween{فه}}\n- VAR: \\kappa -> \\text{\\takween{موئ}}\n- VAR: i -> \\text{\\takween{عا}}\n- VAR: v -> \\text{\\takween{شـ}}\n- VAR: j -> \\text{\\takween{مـفـ}}\n- VAR: o -> \\text{\\takween{قو}}\n- VAR: d -> \\text{\\takween{مـصـ}}\n- VAR: \\nu -> \\text{\\takween{مـسـ}}\n- VAR: \\omicron -> \\text{\\takween{كه}}\n- VAR: \\kappa -> \\text{\\takween{ب}}\n- VAR: a -> \\text{\\takween{قو}}\n- VAR: i -> \\text{\\takween{سا}}\n- VAR: v -> \\text{\\takween{مـن}}\n- VAR: h -> \\text{\\takween{ثي}}\n- VAR: n -> \\text{\\takween{صو}}\n- VAR: g -> \\text{\\takween{غا}}\n- VAR: k -> \\text{\\takween{يا}}\n- VAR: m -> \\text{\\takween{ض}}\n- VAR: z -> \\text{\\takween{فه}}\n- VAR: \\kappa -> \\text{\\takween{موئ}}\n- VAR: i -> \\text{\\takween{عا}}\n- VAR: v -> \\text{\\takween{شـ}}\n- VAR: j -> \\text{\\takween{مـفـ}}\n- VAR: o -> \\text{\\takween{قو}}\n- VAR: d -> \\text{\\takween{مـصـ}}\n- VAR: \\nu -> \\text{\\takween{مـسـ}}\n- VAR: \\omicron -> \\text{\\takween{كه}}\n- VAR: \\kappa -> \\text{\\takween{ب}}\n- FUN: \\chi -> \\text{\\diwani{مـسـ}}\n- FUN: G -> \\text{\\diwani{غة}}\n- FUN: F -> \\text{\\diwani{غه}}\n- FUN: \\chi -> \\text{\\diwani{مـسـ}}\n- FUN: G -> \\text{\\diwani{غة}}\n- FUN: F -> \\text{\\diwani{غه}}\n\nConvert this:\n\\sqrt[]{\\frac{\\lim_{a \\to i} \\left\\langle\\left(\\chi\\left(\\mathbf{\\grave{137}}_{691,608,156,v}\\right) \\sin\\left(\\vec{\\mathbf{\\hat{h}}}\\right) \\tan\\left(\\vec{90}_{n,g,k,132}\\right)\\right)^{-\\tanh\\left(993_{z,\\kappa}^{m}\\right)}\\right]}{\\left\\langle\\sqrt[]{\\tanh\\left(\\vec{210}_{i,v,j}^{305}\\right) G\\left(501.01^{o}\\right) F\\left(\\vec{451}_{392}^{958}\\right)}\\right\\|}} \\equiv \\log_{\\kappa}\\left(\\sum_{-\\infty}^{+\\infty} \\left\\{\\frac{\\exp\\left(\\ddot{530}_{702,\\nu}\\right)}{\\csc\\left(970_{246,665}^{485}\\right) \\arcsin\\left(\\mathbf{\\omicron}_{81}\\right)}\\right|\\right)"
},
{
"role": "assistant",
"content": "\\arablog{\\text{\\takween{ب}}}{\\left|\\frac{\\arabexp{\\prescript{}{\\text{\\takween{مـسـ}}،{702}}{\\ddot{{530}}}}}{\\arabasin{\\prescript{}{{81}}{\\boldarabic{\\text{\\takween{كه}}}}} \\arabcsc{\\prescript{{485}}{{665}،{246}}{{970}}}}\\right\\}\\arabsum{\\infty -}{\\infty +}} \\equiv \\arabsqrt{}{\\frac{\\left[\\prescript{\\arabtanh{\\prescript{\\text{\\takween{ض}}}{\\text{\\takween{موئ}}،\\text{\\takween{فه}}}{{993}}}-}{}{\\left(\\arabtan{\\prescript{}{{132}،\\text{\\takween{يا}}،\\text{\\takween{غا}}،\\text{\\takween{صو}}}{\\arabvec{{90}}}} \\arabsin{\\arabvec{\\boldarabic{\\hat{\\text{\\takween{ثي}}}}}} \\left(\\prescript{}{\\text{\\takween{مـن}}،{156}،{608}،{691}}{\\boldarabic{\\grave{{137}}}}\\right)\\text{\\diwani{مـسـ}}\\right)}\\right\\rangle\\arablim{\\text{\\takween{قو}}}{\\text{\\takween{سا}}}}{\\left\\|\\arabsqrt{}{\\left(\\prescript{{958}}{{392}}{\\arabvec{{451}}}\\right)\\text{\\diwani{غه}} \\left(\\prescript{\\text{\\takween{قو}}}{}{{501.01}}\\right)\\text{\\diwani{غة}} \\arabtanh{\\prescript{{305}}{\\text{\\takween{مـفـ}}،\\text{\\takween{شـ}}،\\text{\\takween{عا}}}{\\arabvec{{210}}}}}\\right\\rangle}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 14686
}
|
[
{
"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{شا}}\n- VAR: \\kappa -> \\text{\\takween{مـخـ}}\n- VAR: \\eta -> \\text{\\takween{موئ}}\n- VAR: \\eta -> \\text{\\takween{مـجـ}}\n- VAR: \\rho -> \\text{\\takween{غيم}}\n\nConvert this:\n\\begin{array}{clccrl} \\phi & -545.26 & & \\cdots & \\cdots & -\\kappa \\\\ \\eta & \\eta & 777 & 485.92 & 688 & \\rho \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{crcclr} \\text{\\takween{مـخـ}}- & \\cdots & \\cdots & & {545.26}- & \\text{\\takween{شا}} \\\\ \\text{\\takween{غيم}} & {688} & {485.92} & {777} & \\text{\\takween{مـجـ}} & \\text{\\takween{موئ}} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 4681
}
|
[
{
"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{مـنـ}}\n- VAR: v -> \\text{\\takween{ية}}\n- VAR: \\iota -> \\text{\\takween{قا}}\n- VAR: x -> \\text{\\takween{مـس}}\n- VAR: \\tau -> \\text{\\takween{مـيـ}}\n- VAR: \\nu -> \\text{\\takween{موض}}\n\nConvert this:\n\\nu \\not\\ni \\tau = \\left[x \\ni \\iota\\right] \\triangle v \\supseteq \\phi"
},
{
"role": "assistant",
"content": "\\text{\\takween{مـنـ}} \\supseteq \\text{\\takween{ية}} \\triangle \\left[\\text{\\takween{قا}} \\ni \\text{\\takween{مـس}}\\right] = \\text{\\takween{مـيـ}} \\not\\ni \\text{\\takween{موض}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 4111
}
|
[
{
"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{قي}}\n- VAR: \\lambda -> \\text{\\takween{كيم}}\n- VAR: t -> \\text{\\takween{مـثـ}}\n- VAR: z -> \\text{\\takween{نو}}\n- VAR: x -> \\text{\\takween{شه}}\n- VAR: s -> \\text{\\takween{هـ}}\n- VAR: \\alpha -> \\text{\\takween{جة}}\n- VAR: \\rho -> \\text{\\takween{مـثـ}}\n- VAR: \\kappa -> \\text{\\takween{نة}}\n- VAR: k -> \\text{\\takween{مـخـ}}\n- VAR: \\epsilon -> \\text{\\takween{مـي}}\n- VAR: \\omega -> \\text{\\takween{مـ}}\n- VAR: \\beta -> \\text{\\takween{ثه}}\n- VAR: \\xi -> \\text{\\takween{يي}}\n- VAR: p -> \\text{\\takween{هو}}\n- VAR: q -> \\text{\\takween{ش}}\n- VAR: q -> \\text{\\takween{خيم}}\n- VAR: \\beta -> \\text{\\takween{مـسـ}}\n- VAR: \\nu -> \\text{\\takween{عو}}\n- VAR: q -> \\text{\\takween{مـص}}\n- VAR: \\phi -> \\text{\\takween{قي}}\n- VAR: \\lambda -> \\text{\\takween{كيم}}\n- VAR: t -> \\text{\\takween{مـثـ}}\n- VAR: z -> \\text{\\takween{نو}}\n- VAR: x -> \\text{\\takween{شه}}\n- VAR: s -> \\text{\\takween{هـ}}\n- VAR: \\alpha -> \\text{\\takween{جة}}\n- VAR: \\rho -> \\text{\\takween{مـثـ}}\n- VAR: \\kappa -> \\text{\\takween{نة}}\n- VAR: k -> \\text{\\takween{مـخـ}}\n- VAR: \\epsilon -> \\text{\\takween{مـي}}\n- VAR: \\omega -> \\text{\\takween{مـ}}\n- VAR: \\beta -> \\text{\\takween{ثه}}\n- VAR: \\xi -> \\text{\\takween{يي}}\n- VAR: p -> \\text{\\takween{هو}}\n- VAR: q -> \\text{\\takween{ش}}\n- VAR: q -> \\text{\\takween{خيم}}\n- VAR: \\beta -> \\text{\\takween{مـسـ}}\n- VAR: \\nu -> \\text{\\takween{عو}}\n- VAR: q -> \\text{\\takween{مـص}}\n- FUN: \\sigma -> \\text{\\diwani{ظيم}}\n- FUN: H -> \\text{\\diwani{ه}}\n- FUN: f -> \\text{\\diwani{كيم}}\n- FUN: F -> \\text{\\diwani{قو}}\n- FUN: \\sigma -> \\text{\\diwani{شـ}}\n- FUN: \\sigma -> \\text{\\diwani{ظيم}}\n- FUN: H -> \\text{\\diwani{ه}}\n- FUN: f -> \\text{\\diwani{كيم}}\n- FUN: F -> \\text{\\diwani{قو}}\n- FUN: \\sigma -> \\text{\\diwani{شـ}}\n\nConvert this:\nH\\left(\\sqrt[\\rho]{\\sqrt[]{\\cosh\\left(\\cosh\\left(\\vec{\\phi}_{422,122}^{834}\\right) * \\cot\\left(550_{116}\\right) \\sigma\\left(\\bar{\\lambda}_{z,x,s,\\alpha}^{t}\\right)\\right)}}\\right) \\equiv \\left(\\sqrt[]{-\\cot\\left(\\kappa_{k,\\epsilon,779}^{322}\\right) \\cdot -\\dddot{335}_{\\beta,\\xi,264}^{\\omega} f\\left(\\overline{495.59}\\right)}\\right)^{\\prod_{931}^{178} \\left\\|\\sum_{-\\infty}^{+\\infty} \\left(F\\left(574.37_{237}\\right) \\bullet \\sigma\\left(\\widehat{q}_{470,\\nu,q}^{\\beta}\\%\\right)\\right|\\right\\}}"
},
{
"role": "assistant",
"content": "\\prescript{\\left\\{\\left|\\left(٪\\prescript{\\text{\\takween{مـسـ}}}{\\text{\\takween{مـص}}،\\text{\\takween{عو}}،{470}}{\\widehat{\\text{\\takween{خيم}}}}\\right)\\text{\\diwani{شـ}} \\bullet \\left(\\prescript{}{{237}}{{574.37}}\\right)\\text{\\diwani{قو}}\\right)\\arabsum{\\infty -}{\\infty +}\\right\\|\\arabprod{{931}}{{178}}}{}{\\left(\\arabsqrt{}{ \\left(\\overline{{495.59}}\\right)\\text{\\diwani{كيم}} \\prescript{\\text{\\takween{مـ}}}{{264}،\\text{\\takween{يي}}،\\text{\\takween{ثه}}}{\\dddot{{335}}}- \\cdot \\arabcot{\\prescript{{322}}{{779}،\\text{\\takween{مـي}}،\\text{\\takween{مـخـ}}}{\\text{\\takween{نة}}}}-}\\right)} \\equiv \\left(\\arabsqrt{\\text{\\takween{مـثـ}}}{\\arabsqrt{}{\\arabcosh{\\left(\\prescript{\\text{\\takween{مـثـ}}}{\\text{\\takween{جة}}،\\text{\\takween{هـ}}،\\text{\\takween{شه}}،\\text{\\takween{نو}}}{\\bar{\\text{\\takween{كيم}}}}\\right)\\text{\\diwani{ظيم}} \\arabcot{\\prescript{}{{116}}{{550}}} * \\arabcosh{\\prescript{{834}}{{122}،{422}}{\\arabvec{\\text{\\takween{قي}}}}}}}}\\right)\\text{\\diwani{ه}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 6476
}
|
[
{
"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{مـسـ}}\n\nConvert this:\n\\begin{Vmatrix} 232 \\\\ 71.59 \\\\ 38 \\\\ \\delta \\end{Vmatrix}"
},
{
"role": "assistant",
"content": "\\begin{Vmatrix} {232} \\\\ {71.59} \\\\ {38} \\\\ \\text{\\takween{مـسـ}} \\end{Vmatrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 4072
}
|
[
{
"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-3868.413+2210.067i+7238.335j-9865.115k"
},
{
"role": "assistant",
"content": "\\text{ك}9865.115- \\text{ج}7238.335+ \\text{ت} 2210.067+ 3868.413-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 8140
}
|
[
{
"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{مـقـ}}\n- VAR: k -> \\text{\\takween{ا}}\n- VAR: e -> \\text{\\takween{هـ}}\n- VAR: \\eta -> \\text{\\takween{صي}}\n- VAR: \\zeta -> \\text{\\takween{قو}}\n- VAR: \\zeta -> \\text{\\takween{مـظـ}}\n- VAR: m -> \\text{\\takween{موغ}}\n- VAR: g -> \\text{\\takween{موغ}}\n- VAR: \\zeta -> \\text{\\takween{ق}}\n- VAR: \\lambda -> \\text{\\takween{سي}}\n- VAR: s -> \\text{\\takween{جو}}\n- VAR: u -> \\text{\\takween{مـفـ}}\n- VAR: k -> \\text{\\takween{نة}}\n- VAR: \\xi -> \\text{\\takween{ها}}\n- VAR: i -> \\text{\\takween{ر}}\n- VAR: \\epsilon -> \\text{\\takween{يم}}\n- VAR: \\psi -> \\text{\\takween{شا}}\n- VAR: t -> \\text{\\takween{غـ}}\n- VAR: j -> \\text{\\takween{خي}}\n- VAR: c -> \\text{\\takween{مـبـ}}\n- FUN: \\omega -> \\text{\\diwani{موئ}}\n\nConvert this:\n\\underset{\\psi=k}{\\overset{e}{\\sum}} \\left[\\left(-\\cot\\left(\\vec{\\eta}^{\\zeta}\\right) \\bullet \\sin\\left(\\underline{\\zeta}_{707,m,g,\\zeta}\\right) / \\omega\\left(\\mathbf{\\tilde{311.72}}_{404,\\lambda,425,s}\\right) + \\csc\\left(u_{952,\\xi,167,i}^{k}\\right)\\right)^{-\\cos\\left(\\widetilde{366}_{\\epsilon,\\psi,t}^{348}\\right) \\bullet \\csc\\left(269_{c,415,189,720}^{j}\\right)}\\right\\}"
},
{
"role": "assistant",
"content": "\\left\\{\\prescript{\\arabcsc{\\prescript{\\text{\\takween{خي}}}{{720}،{189}،{415}،\\text{\\takween{مـبـ}}}{{269}}} \\bullet \\arabcos{\\prescript{{348}}{\\text{\\takween{غـ}}،\\text{\\takween{شا}}،\\text{\\takween{يم}}}{\\widetilde{{366}}}}-}{}{\\left(\\arabcsc{\\prescript{\\text{\\takween{نة}}}{\\text{\\takween{ر}}،{167}،\\text{\\takween{ها}}،{952}}{\\text{\\takween{مـفـ}}}} + \\left(\\prescript{}{\\text{\\takween{جو}}،{425}،\\text{\\takween{سي}}،{404}}{\\boldarabic{\\tilde{{311.72}}}}\\right)\\text{\\diwani{موئ}} \\backslash \\arabsin{\\prescript{}{\\text{\\takween{ق}}،\\text{\\takween{موغ}}،\\text{\\takween{موغ}}،{707}}{\\underline{\\text{\\takween{مـظـ}}}}} \\bullet \\arabcot{\\prescript{\\text{\\takween{قو}}}{}{\\arabvec{\\text{\\takween{صي}}}}}-\\right)}\\right]\\arabsum{\\text{\\takween{ا}}=\\text{\\takween{مـقـ}}}{\\text{\\takween{هـ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 14371
}
|
[
{
"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: \\iota -> \\text{\\takween{خه}}\n- VAR: \\epsilon -> \\text{\\takween{تـ}}\n- VAR: \\epsilon -> \\text{\\takween{تا}}\n- VAR: \\eta -> \\text{\\takween{يا}}\n- VAR: \\iota -> \\text{\\takween{ظيم}}\n- VAR: \\epsilon -> \\text{\\takween{خو}}\n- VAR: \\epsilon -> \\text{\\takween{هـ}}\n- VAR: b -> \\text{\\takween{مـي}}\n- VAR: v -> \\text{\\takween{ضة}}\n- VAR: \\delta -> \\text{\\takween{ظ}}\n- VAR: \\gamma -> \\text{\\takween{ته}}\n- VAR: w -> \\text{\\takween{غة}}\n- VAR: \\iota -> \\text{\\takween{ضه}}\n- VAR: c -> \\text{\\takween{مـلـ}}\n- VAR: \\iota -> \\text{\\takween{خه}}\n- VAR: \\epsilon -> \\text{\\takween{تـ}}\n- VAR: \\epsilon -> \\text{\\takween{تا}}\n- VAR: \\eta -> \\text{\\takween{يا}}\n- VAR: \\iota -> \\text{\\takween{ظيم}}\n- VAR: \\epsilon -> \\text{\\takween{خو}}\n- VAR: \\epsilon -> \\text{\\takween{هـ}}\n- VAR: b -> \\text{\\takween{مـي}}\n- VAR: v -> \\text{\\takween{ضة}}\n- VAR: \\delta -> \\text{\\takween{ظ}}\n- VAR: \\gamma -> \\text{\\takween{ته}}\n- VAR: w -> \\text{\\takween{غة}}\n- VAR: \\iota -> \\text{\\takween{ضه}}\n- VAR: c -> \\text{\\takween{مـلـ}}\n- FUN: \\chi -> \\text{\\diwani{شي}}\n- FUN: \\chi -> \\text{\\diwani{هي}}\n- FUN: F -> \\text{\\diwani{جة}}\n- FUN: \\chi -> \\text{\\diwani{شي}}\n- FUN: \\chi -> \\text{\\diwani{هي}}\n- FUN: F -> \\text{\\diwani{جة}}\n\nConvert this:\n\\int_{w}^{+\\infty} \\frac{-291^{\\epsilon} \\chi\\left(\\epsilon_{\\eta,625,859,\\iota}\\right) \\times \\tanh\\left(155_{\\epsilon,\\epsilon,181}\\right) \\bullet \\chi\\left(\\check{b}_{505,298,v}^{609}\\right)}{-\\coth\\left(\\vec{393}_{\\delta,327,\\gamma}\\right)} \\, \\partial \\iota \\ne \\sqrt[c]{\\underset{\\iota=-\\infty}{\\overset{+\\infty}{\\sum}} \\left[\\left|F\\left(\\bar{589}^{902}\\%\\right)\\right]\\right\\|}"
},
{
"role": "assistant",
"content": "\\arabsqrt{\\text{\\takween{مـلـ}}}{\\left\\|\\left[\\left(٪\\prescript{{902}}{}{\\bar{{589}}}\\right)\\text{\\diwani{جة}}\\right|\\right]\\arabsum{\\infty -=\\text{\\takween{ضه}}}{\\infty +}} \\ne \\text{\\takween{خه}}{\\ad}\\frac{\\left(\\prescript{{609}}{\\text{\\takween{ضة}}،{298}،{505}}{\\check{\\text{\\takween{مـي}}}}\\right)\\text{\\diwani{هي}} \\bullet \\arabtanh{\\prescript{}{{181}،\\text{\\takween{هـ}}،\\text{\\takween{خو}}}{{155}}} \\times \\left(\\prescript{}{\\text{\\takween{ظيم}}،{859}،{625}،\\text{\\takween{يا}}}{\\text{\\takween{تا}}}\\right)\\text{\\diwani{شي}} \\prescript{\\text{\\takween{تـ}}}{}{{291}}-}{\\arabcoth{\\prescript{}{\\text{\\takween{ته}}،{327}،\\text{\\takween{ظ}}}{\\arabvec{{393}}}}-}\\arabint{\\text{\\takween{غة}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 5767
}
|
[
{
"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:\n6203 \\in \\mathbb{N}"
},
{
"role": "assistant",
"content": "\\arabN \\in 6203"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 11331
}
|
[
{
"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} 2101.723+6171.136i+1221.113j+4387.941k & -5654.724-7697.835i+9063.763j+8532.129k & -7118.457+9134.761i-1634.727j+441.268k & 8017.160-2873.012i+3664.086j-2609.473k \\\\ 5738.856-235.651i-6223.625j+1894.717k & 8615.095-648.010i-2564.950j-3746.694k & -6955.344-8185.282i-7497.999j+1102.466k & 1853.882+3504.358i-397.979j-7273.983k \\\\ -6226.792-6818.144i-7455.952j+5429.011k & -7846.806+3237.955i+7659.494j-778.739k & -6944.819-1582.389i+880.865j+7599.319k & -783.207+9630.583i+5700.025j-9598.598k \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\text{ك}2609.473- \\text{ج}3664.086+ \\text{ت} 2873.012- 8017.160 & \\text{ك}441.268+ \\text{ج}1634.727- \\text{ت} 9134.761+ 7118.457- & \\text{ك}8532.129+ \\text{ج}9063.763+ \\text{ت} 7697.835- 5654.724- & \\text{ك}4387.941+ \\text{ج}1221.113+ \\text{ت} 6171.136+ 2101.723 \\\\ \\text{ك}7273.983- \\text{ج}397.979- \\text{ت} 3504.358+ 1853.882 & \\text{ك}1102.466+ \\text{ج}7497.999- \\text{ت} 8185.282- 6955.344- & \\text{ك}3746.694- \\text{ج}2564.950- \\text{ت} 648.010- 8615.095 & \\text{ك}1894.717+ \\text{ج}6223.625- \\text{ت} 235.651- 5738.856 \\\\ \\text{ك}9598.598- \\text{ج}5700.025+ \\text{ت} 9630.583+ 783.207- & \\text{ك}7599.319+ \\text{ج}880.865+ \\text{ت} 1582.389- 6944.819- & \\text{ك}778.739- \\text{ج}7659.494+ \\text{ت} 3237.955+ 7846.806- & \\text{ك}5429.011+ \\text{ج}7455.952- \\text{ت} 6818.144- 6226.792- \\end{bmatrix}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 6444
}
|
[
{
"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{كيم}}\n- VAR: l -> \\text{\\takween{كه}}\n- FUN: f -> \\text{\\diwani{مـخـ}}\n- FUN: X -> \\text{\\diwani{كيم}}\n- FUN: G -> \\text{\\diwani{مـغ}}\n- FUN: f -> \\text{\\diwani{خو}}\n- FUN: h -> \\text{\\diwani{مـئ}}\n- FUN: F -> \\text{\\diwani{مـقـ}}\n- FUN: X -> \\text{\\diwani{مـشـ}}\n- FUN: \\psi -> \\text{\\diwani{زيم}}\n- FUN: \\omega -> \\text{\\diwani{صا}}\n- FUN: H -> \\text{\\diwani{كيم}}\n\nConvert this:\nl'' \\left\\langle h \\right\\} = \\frac{\\partial^{2}l}{\\partial h^{2}}\\left\\langle h \\right\\}=\\begin{bmatrix} \\sqrt[]{-f\\left(375_{187,312,h}^{756}\\right) / X\\left(830_{h,148,h,251}\\right)} -h_{h} * \\cos\\left(\\dot{h}_{h,h}^{h}\\right) \\times G\\left(\\widetilde{792}_{458,h,h,632}^{h}\\right) \\arctan\\left(h^{274.51}\\right) f\\left(\\breve{847}\\right) \\bullet h\\left(785.06_{570,753}^{h}\\right) \\bullet \\coth\\left(\\check{297}_{55,h,h}\\right)\\\\\\frac{\\underset{h \\to 680^-}{\\lim} \\left(\\frac{-F\\left(\\breve{h}_{490,485,h,h}^{933}\\right) + \\ddot{834}_{738,764,853,122}^{h} \\times X\\left(899^{h}\\right)}{-\\psi\\left(\\mathbf{h}_{3}^{h}\\right) \\cdot 855_{h,599,278}}\\right\\|}{\\underset{h}{\\overset{+\\infty}{\\sum}} \\left\\{\\acute{277}_{h}\\right] / \\underset{h=-\\infty}{\\overset{h}{\\prod}} \\left\\{\\cos\\left(\\mathbf{184}_{h,686}\\right) / \\sec\\left(\\underline{618}_{h,630}\\%\\right)\\right\\|}\\\\\\cosh\\left(h_{h,576,h}^{735.69}\\right) \\cdot \\cos\\left(\\dot{h}^{718}\\right) + \\omega\\left(h_{h}\\right)\\\\882_{156,h} \\cdot H\\left(h_{h,h}^{916}\\right) / \\arcsin\\left(288^{h}\\right) / -\\ln\\left(389.04_{h}\\right) \\cdot \\cot\\left(h_{h,622,585}^{h}\\right) \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\arabcoth{\\prescript{}{\\text{\\takween{كيم}}،\\text{\\takween{كيم}}،{55}}{\\check{{297}}}} \\bullet \\left(\\prescript{\\text{\\takween{كيم}}}{{753}،{570}}{{785.06}}\\right)\\text{\\diwani{مـئ}} \\bullet \\left(\\breve{{847}}\\right)\\text{\\diwani{خو}} \\arabatan{\\prescript{{274.51}}{}{\\text{\\takween{كيم}}}} \\left(\\prescript{\\text{\\takween{كيم}}}{{632}،\\text{\\takween{كيم}}،\\text{\\takween{كيم}}،{458}}{\\widetilde{{792}}}\\right)\\text{\\diwani{مـغ}} \\times \\arabcos{\\prescript{\\text{\\takween{كيم}}}{\\text{\\takween{كيم}}،\\text{\\takween{كيم}}}{\\dot{\\text{\\takween{كيم}}}}} * \\prescript{}{\\text{\\takween{كيم}}}{\\text{\\takween{كيم}}}- \\arabsqrt{}{\\left(\\prescript{}{{251}،\\text{\\takween{كيم}}،{148}،\\text{\\takween{كيم}}}{{830}}\\right)\\text{\\diwani{كيم}} \\backslash \\left(\\prescript{{756}}{\\text{\\takween{كيم}}،{312}،{187}}{{375}}\\right)\\text{\\diwani{مـخـ}}-}\\\\\\frac{\\left\\|\\frac{\\left(\\prescript{\\text{\\takween{كيم}}}{}{{899}}\\right)\\text{\\diwani{مـشـ}} \\times \\prescript{\\text{\\takween{كيم}}}{{122}،{853}،{764}،{738}}{\\ddot{{834}}} + \\left(\\prescript{{933}}{\\text{\\takween{كيم}}،\\text{\\takween{كيم}}،{485}،{490}}{\\breve{\\text{\\takween{كيم}}}}\\right)\\text{\\diwani{مـقـ}}-}{\\prescript{}{{278}،{599}،\\text{\\takween{كيم}}}{{855}} \\cdot \\left(\\prescript{\\text{\\takween{كيم}}}{{3}}{\\boldarabic{\\text{\\takween{كيم}}}}\\right)\\text{\\diwani{زيم}}-}\\right)\\arablim{\\text{\\takween{كيم}}}{{}^{-}{680}}}{ \\left\\|\\arabsec{٪\\prescript{}{{630}،\\text{\\takween{كيم}}}{\\underline{{618}}}} \\backslash \\arabcos{\\prescript{}{{686}،\\text{\\takween{كيم}}}{\\boldarabic{{184}}}}\\right\\}\\arabprod{\\infty -=\\text{\\takween{كيم}}}{\\text{\\takween{كيم}}} / \\left[\\prescript{}{\\text{\\takween{كيم}}}{\\acute{{277}}}\\right\\}\\arabsum{\\text{\\takween{كيم}}}{\\infty +}}\\\\\\left(\\prescript{}{\\text{\\takween{كيم}}}{\\text{\\takween{كيم}}}\\right)\\text{\\diwani{صا}} + \\arabcos{\\prescript{{718}}{}{\\dot{\\text{\\takween{كيم}}}}} \\cdot \\arabcosh{\\prescript{{735.69}}{\\text{\\takween{كيم}}،{576}،\\text{\\takween{كيم}}}{\\text{\\takween{كيم}}}}\\\\ \\arabcot{\\prescript{\\text{\\takween{كيم}}}{{585}،{622}،\\text{\\takween{كيم}}}{\\text{\\takween{كيم}}}} \\cdot \\arabnlog{\\prescript{}{\\text{\\takween{كيم}}}{{389.04}}}- / \\arabasin{\\prescript{\\text{\\takween{كيم}}}{}{{288}}} \\backslash \\left(\\prescript{{916}}{\\text{\\takween{كيم}}،\\text{\\takween{كيم}}}{\\text{\\takween{كيم}}}\\right)\\text{\\diwani{كيم}} \\cdot \\prescript{}{\\text{\\takween{كيم}}،{156}}{{882}} \\end{bmatrix}=\\left\\{ \\text{\\takween{كيم}} \\right\\rangle\\frac{\\prescript{2}{}{\\text{\\takween{كه}}}\\ad}{\\prescript{2}{}{\\text{\\takween{كيم}}}\\ad} = \\left\\{ \\text{\\takween{كيم}} \\right\\rangle``\\!\\!\\text{\\takween{كه}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 3102
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\kappa -> \\text{\\takween{تي}}\n- FUN: H -> \\text{\\diwani{مـفـ}}\n\nConvert this:\n\\kappa^{\\left(4\\right)} \\left\\| 530, 947, 840, 564 \\right\\| = \\frac{\\partial^{4}\\kappa}{}\\left\\| 530, 947, 840, 564 \\right\\|=\\left\\{ \\begin{array}{l} -\\arcsin\\left(\\ddot{530}_{647,333,295,564}^{770}\\right) \\widehat{530}_{487,832,840,564}^{840}\\\\\\log_{172}\\left(\\underset{-\\infty}{\\overset{+\\infty}{\\prod}} \\left|-\\coth\\left(\\ddddot{840}_{706,20}\\right)\\right|\\right)\\\\-\\cos\\left(\\mathbf{840}_{841,840}^{564}\\right) \\cdot \\sec\\left(\\hat{840}_{86,451}\\right) * \\sec\\left(\\bar{383}_{741}^{945}\\right)\\\\\\sum_{564=-\\infty}^{+\\infty} \\left\\langle\\sum_{947=-\\infty}^{+\\infty} \\left(\\prod_{564=947}^{+\\infty} \\left(\\sqrt[710.64]{-\\sin\\left(\\underline{530}_{564,947}^{840}\\right) + H\\left(947_{414}^{804}\\right) + \\hat{564}_{564,918,288}^{579}}\\right]\\right\\}\\right\\| \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\prescript{{840}}{{564}،{840}،{832}،{487}}{\\widehat{{530}}} \\arabasin{\\prescript{{770}}{{564}،{295}،{333}،{647}}{\\ddot{{530}}}}-\\\\\\arablog{{172}}{\\left|\\arabcoth{\\prescript{}{{20}،{706}}{\\ddddot{{840}}}}-\\right|\\arabprod{\\infty -}{\\infty +}}\\\\\\arabsec{\\prescript{{945}}{{741}}{\\bar{{383}}}} * \\arabsec{\\prescript{}{{451}،{86}}{\\hat{{840}}}} \\cdot \\arabcos{\\prescript{{564}}{{840}،{841}}{\\boldarabic{{840}}}}-\\\\\\left\\|\\left\\{\\left[\\arabsqrt{{710.64}}{\\prescript{{579}}{{288}،{918}،{564}}{\\hat{{564}}} + \\left(\\prescript{{804}}{{414}}{{947}}\\right)\\text{\\diwani{مـفـ}} + \\arabsin{\\prescript{{840}}{{947}،{564}}{\\underline{{530}}}}-}\\right)\\arabprod{{947}={564}}{\\infty +}\\right)\\arabsum{\\infty -={947}}{\\infty +}\\right\\rangle\\arabsum{\\infty -={564}}{\\infty +} \\end{array} \\right\\}=\\left\\| {564} ،{840} ،{947} ،{530} \\right\\|\\frac{\\prescript{4}{}{\\text{\\takween{تي}}}\\ad}{} = \\left\\| {564} ،{840} ،{947} ،{530} \\right\\|\\prescript{\\left(4\\right)}{}{\\text{\\takween{تي}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 11143
}
|
[
{
"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{نـ}}\n- VAR: \\omicron -> \\text{\\takween{ريم}}\n- VAR: k -> \\text{\\takween{به}}\n- VAR: v -> \\text{\\takween{عة}}\n- VAR: \\xi -> \\text{\\takween{مـط}}\n- VAR: \\lambda -> \\text{\\takween{مـصـ}}\n- VAR: \\psi -> \\text{\\takween{تـ}}\n- VAR: s -> \\text{\\takween{دي}}\n- VAR: \\omicron -> \\text{\\takween{ض}}\n- VAR: \\phi -> \\text{\\takween{ثة}}\n- VAR: h -> \\text{\\takween{ضو}}\n- VAR: s -> \\text{\\takween{ثـ}}\n- VAR: m -> \\text{\\takween{هيم}}\n- VAR: \\theta -> \\text{\\takween{حيم}}\n- VAR: \\sigma -> \\text{\\takween{مـكـ}}\n- VAR: t -> \\text{\\takween{تا}}\n- VAR: \\epsilon -> \\text{\\takween{حة}}\n- VAR: k -> \\text{\\takween{سه}}\n- VAR: f -> \\text{\\takween{نـ}}\n- VAR: \\omicron -> \\text{\\takween{ريم}}\n- VAR: k -> \\text{\\takween{به}}\n- VAR: v -> \\text{\\takween{عة}}\n- VAR: \\xi -> \\text{\\takween{مـط}}\n- VAR: \\lambda -> \\text{\\takween{مـصـ}}\n- VAR: \\psi -> \\text{\\takween{تـ}}\n- VAR: s -> \\text{\\takween{دي}}\n- VAR: \\omicron -> \\text{\\takween{ض}}\n- VAR: \\phi -> \\text{\\takween{ثة}}\n- VAR: h -> \\text{\\takween{ضو}}\n- VAR: s -> \\text{\\takween{ثـ}}\n- VAR: m -> \\text{\\takween{هيم}}\n- VAR: \\theta -> \\text{\\takween{حيم}}\n- VAR: \\sigma -> \\text{\\takween{مـكـ}}\n- VAR: t -> \\text{\\takween{تا}}\n- VAR: \\epsilon -> \\text{\\takween{حة}}\n- VAR: k -> \\text{\\takween{سه}}\n- FUN: f -> \\text{\\diwani{ني}}\n- FUN: \\sigma -> \\text{\\diwani{عي}}\n- FUN: X -> \\text{\\diwani{مـخـ}}\n- FUN: f -> \\text{\\diwani{ني}}\n- FUN: \\sigma -> \\text{\\diwani{عي}}\n- FUN: X -> \\text{\\diwani{مـخـ}}\n\nConvert this:\n\\left(\\left(\\left(\\lim_{f \\to \\omicron^-} \\left\\{f\\left(k_{v,\\xi,615,\\lambda}\\right) / \\sigma\\left(399_{29,\\psi,759}\\right)\\right)\\right)\\right)^{\\prod_{s=-\\infty}^{+\\infty} \\left\\langle\\left[-876^{848} \\bullet \\coth\\left(\\mathbf{616.61}_{\\omicron,795,177}\\right)\\right\\}\\right\\}}\\right) < \\underset{\\phi \\to h}{\\lim} \\left[X\\left(754_{m,\\theta}^{s}\\right) \\sin\\left(\\sigma_{t,498,\\epsilon,k}^{531}\\right)\\right\\|"
},
{
"role": "assistant",
"content": "\\left\\|\\arabsin{\\prescript{{531}}{\\text{\\takween{سه}}،\\text{\\takween{حة}}،{498}،\\text{\\takween{تا}}}{\\text{\\takween{مـكـ}}}} \\left(\\prescript{\\text{\\takween{ثـ}}}{\\text{\\takween{حيم}}،\\text{\\takween{هيم}}}{{754}}\\right)\\text{\\diwani{مـخـ}}\\right]\\arablim{\\text{\\takween{ثة}}}{\\text{\\takween{ضو}}} < \\left(\\prescript{\\left\\{\\left\\{\\arabcoth{\\prescript{}{{177}،{795}،\\text{\\takween{ض}}}{\\boldarabic{{616.61}}}} \\bullet \\prescript{{848}}{}{{876}}-\\right]\\right\\rangle\\arabprod{\\infty -=\\text{\\takween{دي}}}{\\infty +}}{}{\\left(\\left(\\left(\\left(\\prescript{}{{759}،\\text{\\takween{تـ}}،{29}}{{399}}\\right)\\text{\\diwani{عي}} \\backslash \\left(\\prescript{}{\\text{\\takween{مـصـ}}،{615}،\\text{\\takween{مـط}}،\\text{\\takween{عة}}}{\\text{\\takween{به}}}\\right)\\text{\\diwani{ني}}\\right\\}\\arablim{\\text{\\takween{نـ}}}{{}^{-}\\text{\\takween{ريم}}}\\right)\\right)}\\right)"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 7578
}
|
[
{
"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{ظه}}\n- VAR: \\theta -> \\text{\\takween{ثا}}\n- VAR: t -> \\text{\\takween{مـتـ}}\n- VAR: e -> \\text{\\takween{مـح}}\n- VAR: \\beta -> \\text{\\takween{مـثـ}}\n- VAR: r -> \\text{\\takween{ديم}}\n- VAR: \\alpha -> \\text{\\takween{موظ}}\n\nConvert this:\n\\begin{array}{rrrcrr} 112 & 645 & -544 & 428 & 676 & \\phi \\\\ 286 & \\theta & t & 140 & \\check{e}_{764,r,124,239}^{\\beta} & \\alpha \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{lllcll} \\text{\\takween{ظه}} & {676} & {428} & {544}- & {645} & {112} \\\\ \\text{\\takween{موظ}} & \\prescript{\\text{\\takween{مـثـ}}}{{239}،{124}،\\text{\\takween{ديم}}،{764}}{\\check{\\text{\\takween{مـح}}}} & {140} & \\text{\\takween{مـتـ}} & \\text{\\takween{ثا}} & {286} \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 7743
}
|
[
{
"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{ذ}}\n- VAR: t -> \\text{\\takween{مـثـ}}\n- FUN: g -> \\text{\\diwani{ظي}}\n- FUN: Y -> \\text{\\diwani{هـ}}\n- FUN: \\omega -> \\text{\\diwani{ع}}\n- FUN: f -> \\text{\\diwani{غه}}\n\nConvert this:\nt' \\left\\{ 654, \\sigma \\right\\rangle=\\begin{bmatrix} \\lim_{\\sigma \\to +\\infty} \\left[\\cot\\left(\\vec{665}\\%\\right)\\right\\}\\\\g\\left(\\vec{465}_{959,654,654}\\right) Y\\left(\\tilde{893.28}_{654,\\sigma,\\sigma}^{654}\\right)\\\\\\underset{-\\infty}{\\overset{+\\infty}{\\sum}} \\left\\|\\frac{\\omega\\left(-\\coth\\left(\\sigma_{\\sigma}^{\\sigma}\\right)\\right)}{\\log_{211}\\left(-f\\left(\\widetilde{\\sigma}_{\\sigma,\\sigma,993}\\right)\\right)} - \\sqrt[964]{\\frac{-\\sin\\left(\\dot{728}\\right)}{-\\arctan\\left(654_{654,654,719,986}^{583}\\right)}}\\right\\} \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left\\{\\arabcot{٪\\arabvec{{665}}}\\right]\\arablim{\\text{\\takween{ذ}}}{\\infty +}\\\\\\left(\\prescript{{654}}{\\text{\\takween{ذ}}،\\text{\\takween{ذ}}،{654}}{\\tilde{{893.28}}}\\right)\\text{\\diwani{هـ}} \\left(\\prescript{}{{654}،{654}،{959}}{\\arabvec{{465}}}\\right)\\text{\\diwani{ظي}}\\\\\\left\\{ \\arabsqrt{{964}}{\\frac{\\arabsin{\\dot{{728}}}-}{\\arabatan{\\prescript{{583}}{{986}،{719}،{654}،{654}}{{654}}}-}} - \\frac{\\left(\\arabcoth{\\prescript{\\text{\\takween{ذ}}}{\\text{\\takween{ذ}}}{\\text{\\takween{ذ}}}}-\\right)\\text{\\diwani{ع}}}{\\arablog{{211}}{\\left(\\prescript{}{{993}،\\text{\\takween{ذ}}،\\text{\\takween{ذ}}}{\\widetilde{\\text{\\takween{ذ}}}}\\right)\\text{\\diwani{غه}}-}}\\right\\|\\arabsum{\\infty -}{\\infty +} \\end{bmatrix}=\\left\\langle \\text{\\takween{ذ}} ،{654} \\right\\}`\\!\\!\\text{\\takween{مـثـ}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 823
}
|
[
{
"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{ظ}}\n- VAR: \\psi -> \\text{\\takween{موع}}\n- FUN: \\omega -> \\text{\\diwani{مـي}}\n- FUN: \\tau -> \\text{\\diwani{مـظ}}\n- FUN: H -> \\text{\\diwani{مـل}}\n- FUN: G -> \\text{\\diwani{مـكـ}}\n- FUN: G -> \\text{\\diwani{ظي}}\n- FUN: \\psi -> \\text{\\diwani{ثه}}\n- FUN: f -> \\text{\\diwani{صه}}\n\nConvert this:\n\\psi \\left[ \\alpha, 516 \\right]=\\begin{bmatrix} \\left\\langle\\oint \\left\\langle \\omega\\left(341_{121}\\%\\right) \\, \\partial \\alpha\\right)\\right)\\\\\\underset{\\alpha \\to \\alpha^+}{\\lim} \\left\\|\\sum_{\\alpha=-\\infty}^{352} \\left\\{-\\tan\\left(\\vec{\\ddot{516}}_{\\alpha,\\alpha}^{\\alpha}\\right)\\right\\rangle\\right]\\\\\\underset{516 \\to \\alpha}{\\lim} \\left\\langle\\tau\\left(\\int_{-\\infty}^{516} -\\arcsin\\left(\\mathbf{\\alpha}_{712,516,813}\\right) \\, \\partial 516\\right)\\right]\\\\\\sqrt[516]{\\left(\\left(\\oint \\arcsin\\left(146_{690,4,\\alpha,516}\\right) \\, \\partial \\alpha\\right)\\right)^{\\left(H\\left(\\vec{573}_{116,516,\\alpha}^{516}\\%\\right)\\right]}}\\\\\\underset{516}{\\overset{+\\infty}{\\sum}} \\left\\{\\log_{768}\\left(G\\left(\\widehat{516}_{\\alpha}\\%\\right) / \\sec\\left(246\\right) \\cdot G\\left(371^{516}\\right)\\right) \\times f\\left(\\coth\\left(\\mathbf{870}_{406,757}\\%\\right) / \\psi\\left(\\ddddot{\\alpha}_{\\alpha,516}\\right)\\right)\\right\\| \\end{bmatrix}"
},
{
"role": "assistant",
"content": "\\begin{bmatrix} \\left(\\left(\\text{\\takween{ظ}}{\\ad}\\left(٪\\prescript{}{{121}}{{341}}\\right)\\text{\\diwani{مـي}}\\right\\rangle\\oint\\right\\rangle\\\\\\left[\\left\\langle\\arabtan{\\prescript{\\text{\\takween{ظ}}}{\\text{\\takween{ظ}}،\\text{\\takween{ظ}}}{\\arabvec{\\ddot{{516}}}}}-\\right\\}\\arabsum{\\infty -=\\text{\\takween{ظ}}}{{352}}\\right\\|\\arablim{\\text{\\takween{ظ}}}{{}^{+}\\text{\\takween{ظ}}}\\\\\\left[\\left({516}{\\ad}\\arabasin{\\prescript{}{{813}،{516}،{712}}{\\boldarabic{\\text{\\takween{ظ}}}}}-\\arabint{\\infty -}{{516}}\\right)\\text{\\diwani{مـظ}}\\right\\rangle\\arablim{{516}}{\\text{\\takween{ظ}}}\\\\\\arabsqrt{{516}}{\\prescript{\\left[\\left(٪\\prescript{{516}}{\\text{\\takween{ظ}}،{516}،{116}}{\\arabvec{{573}}}\\right)\\text{\\diwani{مـل}}\\right)}{}{\\left(\\left(\\text{\\takween{ظ}}{\\ad}\\arabasin{\\prescript{}{{516}،\\text{\\takween{ظ}}،{4}،{690}}{{146}}}\\oint\\right)\\right)}}\\\\\\left\\| \\left(\\left(\\prescript{}{{516}،\\text{\\takween{ظ}}}{\\ddddot{\\text{\\takween{ظ}}}}\\right)\\text{\\diwani{ثه}} \\backslash \\arabcoth{٪\\prescript{}{{757}،{406}}{\\boldarabic{{870}}}}\\right)\\text{\\diwani{صه}} \\times \\arablog{{768}}{\\left(\\prescript{{516}}{}{{371}}\\right)\\text{\\diwani{ظي}} \\cdot \\arabsec{{246}} \\backslash \\left(٪\\prescript{}{\\text{\\takween{ظ}}}{\\widehat{{516}}}\\right)\\text{\\diwani{مـكـ}}}\\right\\}\\arabsum{{516}}{\\infty +} \\end{bmatrix}=\\left[ {516} ،\\text{\\takween{ظ}} \\right]\\text{\\takween{موع}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 10588
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\kappa -> \\text{\\takween{موع}}\n- VAR: \\zeta -> \\text{\\takween{موط}}\n- VAR: \\gamma -> \\text{\\takween{جا}}\n- VAR: \\nu -> \\text{\\takween{با}}\n\nConvert this:\n\\nu \\supseteq \\kappa \\triangle \\left(\\gamma \\subset \\zeta\\right\\rangle = \\kappa \\notin \\kappa"
},
{
"role": "assistant",
"content": "\\text{\\takween{موع}} \\notin \\text{\\takween{موع}} = \\left\\langle\\text{\\takween{موط}} \\subset \\text{\\takween{جا}}\\right) \\triangle \\text{\\takween{موع}} \\supseteq \\text{\\takween{با}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 9674
}
|
[
{
"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{مـش}}\n- VAR: \\beta -> \\text{\\takween{مـئ}}\n\nConvert this:\n\\beta^{\\left(2\\right)} \\left[ 664, b \\right\\}=\\int \\left(\\left\\{\\lim_{664 \\to +\\infty} \\left\\{\\csc\\left(\\vec{595}_{b,756,b}\\right)\\right\\}\\right]\\right] \\, \\partial 664"
},
{
"role": "assistant",
"content": "{664}{\\ad}\\left[\\left[\\left\\{\\arabcsc{\\prescript{}{\\text{\\takween{مـش}}،{756}،\\text{\\takween{مـش}}}{\\arabvec{{595}}}}\\right\\}\\arablim{{664}}{\\infty +}\\right\\}\\right)\\int=\\left\\{ \\text{\\takween{مـش}} ،{664} \\right]\\prescript{\\left(2\\right)}{}{\\text{\\takween{مـئ}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 2298
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: \\omega -> \\text{\\takween{خو}}\n- VAR: o -> \\text{\\takween{كي}}\n- VAR: \\gamma -> \\text{\\takween{ت}}\n- VAR: r -> \\text{\\takween{ظيم}}\n- VAR: \\lambda -> \\text{\\takween{غيم}}\n- VAR: l -> \\text{\\takween{حا}}\n- VAR: r -> \\text{\\takween{حا}}\n- VAR: \\eta -> \\text{\\takween{مه}}\n- VAR: k -> \\text{\\takween{ل}}\n- VAR: s -> \\text{\\takween{سي}}\n- VAR: \\eta -> \\text{\\takween{مـيـ}}\n- VAR: u -> \\text{\\takween{صا}}\n- VAR: h -> \\text{\\takween{عا}}\n- VAR: a -> \\text{\\takween{شـ}}\n- VAR: \\rho -> \\text{\\takween{مـثـ}}\n- VAR: \\epsilon -> \\text{\\takween{مـتـ}}\n- FUN: f -> \\text{\\diwani{يـ}}\n- FUN: \\chi -> \\text{\\diwani{خة}}\n\nConvert this:\n\\log_{\\epsilon}\\left(\\underset{o}{\\overset{+\\infty}{\\sum}} \\left[\\left(\\csc\\left(\\gamma_{704,421}\\right) \\times \\sin\\left(866_{331,r,245,\\lambda}\\right) - f\\left(l_{\\eta,k}^{r}\\right)\\right)^{\\ln\\left(\\grave{661.31}_{s}\\right) \\times \\chi\\left(\\vec{\\eta}_{603,u,h,255}^{943.40}\\right) \\bullet \\sec\\left(\\vec{\\widehat{a}}^{\\rho}\\right)}\\right|\\right)"
},
{
"role": "assistant",
"content": "\\arablog{\\text{\\takween{مـتـ}}}{\\left|\\prescript{\\arabsec{\\prescript{\\text{\\takween{مـثـ}}}{}{\\arabvec{\\widehat{\\text{\\takween{شـ}}}}}} \\bullet \\left(\\prescript{{943.40}}{{255}،\\text{\\takween{عا}}،\\text{\\takween{صا}}،{603}}{\\arabvec{\\text{\\takween{مـيـ}}}}\\right)\\text{\\diwani{خة}} \\times \\arabnlog{\\prescript{}{\\text{\\takween{سي}}}{\\grave{{661.31}}}}}{}{\\left(\\left(\\prescript{\\text{\\takween{حا}}}{\\text{\\takween{ل}}،\\text{\\takween{مه}}}{\\text{\\takween{حا}}}\\right)\\text{\\diwani{يـ}} - \\arabsin{\\prescript{}{\\text{\\takween{غيم}}،{245}،\\text{\\takween{ظيم}}،{331}}{{866}}} \\times \\arabcsc{\\prescript{}{{421}،{704}}{\\text{\\takween{ت}}}}\\right)}\\right]\\arabsum{\\text{\\takween{كي}}}{\\infty +}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 3607
}
|
[
{
"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{جة}}\n- VAR: \\epsilon -> \\text{\\takween{ر}}\n- VAR: u -> \\text{\\takween{موس}}\n- VAR: b -> \\text{\\takween{شو}}\n\nConvert this:\n\\begin{array}{cl} 878 & \\gamma \\\\ \\cdots & -\\epsilon \\\\ -564.10 & 517 \\\\ 7.60 & u \\\\ -\\sec\\left(\\vec{296}^{802}\\right) & -b \\\\ -612 & -860 \\end{array}"
},
{
"role": "assistant",
"content": "\\begin{array}{cr} \\text{\\takween{جة}} & {878} \\\\ \\text{\\takween{ر}}- & \\cdots \\\\ {517} & {564.10}- \\\\ \\text{\\takween{موس}} & {7.60} \\\\ \\text{\\takween{شو}}- & \\arabsec{\\prescript{{802}}{}{\\arabvec{{296}}}}- \\\\ {860}- & {612}- \\end{array}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 8524
}
|
[
{
"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{هه}}\n- FUN: \\omega -> \\text{\\diwani{ثـ}}\n- FUN: F -> \\text{\\diwani{ظي}}\n- FUN: Y -> \\text{\\diwani{هي}}\n- FUN: X -> \\text{\\diwani{ضا}}\n- FUN: h -> \\text{\\diwani{مـي}}\n\nConvert this:\nk^{\\left(5\\right)} \\left\\| 628 \\right|=\\left\\{ \\begin{array}{l} \\sum_{628=-\\infty}^{+\\infty} \\left\\{-\\omega\\left(324_{628,203}^{779}\\right) - F\\left(60_{628,628}^{628}\\right) + \\exp\\left(\\dot{628}_{628,144,628,708}\\right)\\right) \\sum_{628=-\\infty}^{+\\infty} \\left|-Y\\left(628_{898,545,628}^{628}\\right) \\coth\\left(\\vec{628}_{155,436,628}^{530.06}\\right) \\arccos\\left(628_{628,628,63}^{628}\\right)\\right\\}\\\\\\sqrt[628]{\\left\\|-X\\left(628_{628,628,991,628}\\right) \\times \\mathbf{628}_{628,628,675}\\right\\}}\\\\-h\\left(\\mathbf{\\dot{854}}_{43}\\right) \\end{array} \\right."
},
{
"role": "assistant",
"content": "\\left. \\begin{array}{r} \\left\\{\\arabacos{\\prescript{{628}}{{63}،{628}،{628}}{{628}}} \\arabcoth{\\prescript{{530.06}}{{628}،{436}،{155}}{\\arabvec{{628}}}} \\left(\\prescript{{628}}{{628}،{545}،{898}}{{628}}\\right)\\text{\\diwani{هي}}-\\right|\\arabsum{\\infty -={628}}{\\infty +} \\left(\\arabexp{\\prescript{}{{708}،{628}،{144}،{628}}{\\dot{{628}}}} + \\left(\\prescript{{628}}{{628}،{628}}{{60}}\\right)\\text{\\diwani{ظي}} - \\left(\\prescript{{779}}{{203}،{628}}{{324}}\\right)\\text{\\diwani{ثـ}}-\\right\\}\\arabsum{\\infty -={628}}{\\infty +}\\\\\\arabsqrt{{628}}{\\left\\{\\prescript{}{{675}،{628}،{628}}{\\boldarabic{{628}}} \\times \\left(\\prescript{}{{628}،{991}،{628}،{628}}{{628}}\\right)\\text{\\diwani{ضا}}-\\right\\|}\\\\\\left(\\prescript{}{{43}}{\\boldarabic{\\dot{{854}}}}\\right)\\text{\\diwani{مـي}}- \\end{array} \\right\\}=\\left| {628} \\right\\|\\prescript{\\left(5\\right)}{}{\\text{\\takween{هه}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 8721
}
|
[
{
"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{مـصـ}}\n- VAR: y -> \\text{\\takween{جو}}\n- VAR: \\partial -> \\text{\\takween{مـجـ}}\n\nConvert this:\n-\\exp\\left(622_{g,y,\\partial}\\right)"
},
{
"role": "assistant",
"content": "\\arabexp{\\prescript{}{\\text{\\takween{مـجـ}}،\\text{\\takween{جو}}،\\text{\\takween{مـصـ}}}{{622}}}-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 3376
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: v -> \\text{\\takween{هـ}}\n- VAR: j -> \\text{\\takween{مـضـ}}\n- VAR: \\eta -> \\text{\\takween{غي}}\n- VAR: \\zeta -> \\text{\\takween{بي}}\n- VAR: \\chi -> \\text{\\takween{صه}}\n- VAR: \\kappa -> \\text{\\takween{مـشـ}}\n- VAR: l -> \\text{\\takween{حيم}}\n- VAR: \\omicron -> \\text{\\takween{ضة}}\n- VAR: t -> \\text{\\takween{عا}}\n- VAR: v -> \\text{\\takween{هـ}}\n- VAR: j -> \\text{\\takween{مـضـ}}\n- VAR: \\eta -> \\text{\\takween{غي}}\n- VAR: \\zeta -> \\text{\\takween{بي}}\n- VAR: \\chi -> \\text{\\takween{صه}}\n- VAR: \\kappa -> \\text{\\takween{مـشـ}}\n- VAR: l -> \\text{\\takween{حيم}}\n- VAR: \\omicron -> \\text{\\takween{ضة}}\n- VAR: t -> \\text{\\takween{عا}}\n\nConvert this:\n\\left(\\left(\\frac{\\cot\\left(\\ddddot{921}_{737,297,v,205}^{737}\\right) - \\tan\\left(j_{\\eta}\\right)}{\\zeta \\coth\\left(\\mathbf{842}^{679}\\right)}\\right)^{\\underset{337}{\\overset{\\kappa}{\\prod}} \\left|-l \\arcsin\\left(\\omicron_{519,42}^{177.56}\\right)\\right\\rangle}\\right) \\geq \\log_{t}\\left(\\arcsin\\left(321_{601}^{827}\\right)\\right)"
},
{
"role": "assistant",
"content": "\\arablog{\\text{\\takween{عا}}}{\\arabasin{\\prescript{{827}}{{601}}{{321}}}} \\geq \\left(\\prescript{\\left\\langle\\arabasin{\\prescript{{177.56}}{{42}،{519}}{\\text{\\takween{ضة}}}} \\text{\\takween{حيم}}-\\right|\\arabprod{{337}}{\\text{\\takween{مـشـ}}}}{}{\\left(\\frac{\\arabtan{\\prescript{}{\\text{\\takween{غي}}}{\\text{\\takween{مـضـ}}}} - \\arabcot{\\prescript{{737}}{{205}،\\text{\\takween{هـ}}،{297}،{737}}{\\ddddot{{921}}}}}{\\arabcoth{\\prescript{{679}}{}{\\boldarabic{{842}}}} \\text{\\takween{بي}}}\\right)}\\right)"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 2522
}
|
[
{
"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{تيم}}\n- VAR: \\mu -> \\text{\\takween{مـع}}\n- VAR: \\gamma -> \\text{\\takween{مـنـ}}\n- VAR: k -> \\text{\\takween{ا}}\n- VAR: o -> \\text{\\takween{لم}}\n- VAR: \\theta -> \\text{\\takween{تيم}}\n- VAR: \\mu -> \\text{\\takween{مـع}}\n- VAR: \\gamma -> \\text{\\takween{مـنـ}}\n- VAR: k -> \\text{\\takween{ا}}\n- VAR: o -> \\text{\\takween{لم}}\n\nConvert this:\n\\underset{\\theta=-\\infty}{\\overset{+\\infty}{\\sum}} \\left\\langle\\tanh\\left(850_{\\mu,126}^{696}\\right) \\cos\\left(499\\right)\\right\\} \\ne \\log_{155.35}\\left(\\arctan\\left(\\gamma_{407,k,o}^{87}\\right) 734.90\\right)"
},
{
"role": "assistant",
"content": "\\arablog{{155.35}}{{734.90} \\arabatan{\\prescript{{87}}{\\text{\\takween{لم}}،\\text{\\takween{ا}}،{407}}{\\text{\\takween{مـنـ}}}}} \\ne \\left\\{\\arabcos{{499}} \\arabtanh{\\prescript{{696}}{{126}،\\text{\\takween{مـع}}}{{850}}}\\right\\rangle\\arabsum{\\infty -=\\text{\\takween{تيم}}}{\\infty +}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 10326
}
|
[
{
"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-7822.797-7552.393i-6301.179j+9935.437k \\in \\mathbb{H}"
},
{
"role": "assistant",
"content": "\\arabH \\in \\text{ك}9935.437+ \\text{ج}6301.179- \\text{ت} 7552.393- 7822.797-"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 11925
}
|
[
{
"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{فا}}\n- VAR: \\theta -> \\text{\\takween{تو}}\n- VAR: c -> \\text{\\takween{مـيـ}}\n- VAR: \\beta -> \\text{\\takween{ح}}\n\nConvert this:\n\\left[\\log_{\\beta}\\left(\\log_{815}\\left(-331_{n,\\theta}^{179} \\arccos\\left(\\grave{c}^{474.72}\\right)\\right)\\right)\\right)"
},
{
"role": "assistant",
"content": "\\left(\\arablog{\\text{\\takween{ح}}}{\\arablog{{815}}{\\arabacos{\\prescript{{474.72}}{}{\\grave{\\text{\\takween{مـيـ}}}}} \\prescript{{179}}{\\text{\\takween{تو}}،\\text{\\takween{فا}}}{{331}}-}}\\right]"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 438
}
|
[
{
"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{مـنـ}}\n- VAR: x -> \\text{\\takween{ئو}}\n- VAR: g -> \\text{\\takween{ئـ}}\n- VAR: z -> \\text{\\takween{نه}}\n\nConvert this:\n\\begin{matrix} g & x & 972.99 & 67.80 \\\\ -23 & g & 203 & z \\end{matrix}"
},
{
"role": "assistant",
"content": "\\begin{matrix} {67.80} & {972.99} & \\text{\\takween{ئو}} & \\text{\\takween{مـنـ}} \\\\ \\text{\\takween{نه}} & {203} & \\text{\\takween{ئـ}} & {23}- \\end{matrix}"
}
] |
{
"complexity": "depth_1_terms_1",
"expression_type": "matrices and arrays",
"sample_id": 1607
}
|
[
{
"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{ع}}\n- VAR: \\gamma -> \\text{\\takween{سم}}\n- VAR: o -> \\text{\\takween{مـلـ}}\n- VAR: p -> \\text{\\takween{مـظ}}\n- VAR: o -> \\text{\\takween{مي}}\n\nConvert this:\no^{\\left(6\\right)} \\left| \\lambda, \\gamma, o, p \\right\\} = \\frac{\\partial^{6}o}{\\partial o^{5} \\partial \\lambda}\\left| \\lambda, \\gamma, o, p \\right\\}=\\sqrt[]{\\left(\\underset{\\gamma=-\\infty}{\\overset{+\\infty}{\\sum}} \\left\\{\\cosh\\left(\\vec{p}_{707,p}^{p}\\right)\\right\\}\\right]}"
},
{
"role": "assistant",
"content": "\\arabsqrt{}{\\left[\\left\\{\\arabcosh{\\prescript{\\text{\\takween{مـظ}}}{\\text{\\takween{مـظ}}،{707}}{\\arabvec{\\text{\\takween{مـظ}}}}}\\right\\}\\arabsum{\\infty -=\\text{\\takween{سم}}}{\\infty +}\\right)}=\\left\\{ \\text{\\takween{مـظ}} ،\\text{\\takween{مـلـ}} ،\\text{\\takween{سم}} ،\\text{\\takween{ع}} \\right|\\frac{\\prescript{6}{}{\\text{\\takween{مي}}}\\ad}{\\text{\\takween{ع}}\\ad \\prescript{5}{}{\\text{\\takween{مـلـ}}}\\ad} = \\left\\{ \\text{\\takween{مـظ}} ،\\text{\\takween{مـلـ}} ،\\text{\\takween{سم}} ،\\text{\\takween{ع}} \\right|\\prescript{\\left(6\\right)}{}{\\text{\\takween{مي}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "general functions",
"sample_id": 4958
}
|
[
{
"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: \\iota -> \\text{\\takween{خه}}\n- VAR: \\tau -> \\text{\\takween{فا}}\n- VAR: \\lambda -> \\text{\\takween{مـئـ}}\n- VAR: k -> \\text{\\takween{مـث}}\n\nConvert this:\nk \\in \\lambda = \\tau \\notin \\iota"
},
{
"role": "assistant",
"content": "\\text{\\takween{خه}} \\notin \\text{\\takween{فا}} = \\text{\\takween{مـئـ}} \\in \\text{\\takween{مـث}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "sets equations",
"sample_id": 10339
}
|
[
{
"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{حو}}\n- VAR: m -> \\text{\\takween{طـ}}\n- VAR: \\xi -> \\text{\\takween{خيم}}\n- VAR: \\phi -> \\text{\\takween{ئو}}\n- VAR: g -> \\text{\\takween{خـ}}\n- FUN: Y -> \\text{\\diwani{ئـ}}\n- FUN: Z -> \\text{\\diwani{خيم}}\n\nConvert this:\n\\log_{264}\\left(\\log_{g}\\left(\\frac{\\int Y\\left(\\mathbf{m}_{\\xi}\\right) \\, \\partial f}{\\left[Z\\left(\\vec{\\phi}\\right)\\right|}\\right)\\right)"
},
{
"role": "assistant",
"content": "\\arablog{{264}}{\\arablog{\\text{\\takween{خـ}}}{\\frac{\\text{\\takween{حو}}{\\ad}\\left(\\prescript{}{\\text{\\takween{خيم}}}{\\boldarabic{\\text{\\takween{طـ}}}}\\right)\\text{\\diwani{ئـ}}\\int}{\\left|\\left(\\arabvec{\\text{\\takween{ئو}}}\\right)\\text{\\diwani{خيم}}\\right]}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "simple expressions",
"sample_id": 5669
}
|
[
{
"role": "system",
"content": "Convert English LaTeX expressions to Arabic RTL following the provided symbol mapping exactly."
},
{
"role": "user",
"content": "Follow these symbol mappings when converting:\n- VAR: v -> \\text{\\takween{بي}}\n- VAR: j -> \\text{\\takween{ضا}}\n- VAR: g -> \\text{\\takween{ف}}\n- VAR: \\iota -> \\text{\\takween{نه}}\n- VAR: p -> \\text{\\takween{مـخـ}}\n- VAR: x -> \\text{\\takween{كا}}\n- VAR: y -> \\text{\\takween{س}}\n- VAR: \\theta -> \\text{\\takween{خه}}\n- VAR: \\partial -> \\text{\\takween{تي}}\n- VAR: v -> \\text{\\takween{بي}}\n- VAR: j -> \\text{\\takween{ضا}}\n- VAR: g -> \\text{\\takween{ف}}\n- VAR: \\iota -> \\text{\\takween{نه}}\n- VAR: p -> \\text{\\takween{مـخـ}}\n- VAR: x -> \\text{\\takween{كا}}\n- VAR: y -> \\text{\\takween{س}}\n- VAR: \\theta -> \\text{\\takween{خه}}\n- VAR: \\partial -> \\text{\\takween{تي}}\n- FUN: Y -> \\text{\\diwani{مـبـ}}\n- FUN: \\omega -> \\text{\\diwani{كي}}\n- FUN: Y -> \\text{\\diwani{مـبـ}}\n- FUN: \\omega -> \\text{\\diwani{كي}}\n\nConvert this:\n\\vec{v}_{452,463,g}^{j} \\approx \\underset{-\\infty}{\\overset{p}{\\sum}} \\left|Y\\left(411\\right) \\omega\\left(\\vec{\\mathbf{\\overline{x}}}_{\\theta,\\partial}^{y}\\right) \\arcsin\\left(375\\right) \\bullet \\cosh\\left(\\vec{\\underline{974}}\\right)\\right\\|"
},
{
"role": "assistant",
"content": "\\left\\|\\arabcosh{\\arabvec{\\underline{{974}}}} \\bullet \\arabasin{{375}} \\left(\\prescript{\\text{\\takween{س}}}{\\text{\\takween{تي}}،\\text{\\takween{خه}}}{\\arabvec{\\boldarabic{\\overline{\\text{\\takween{كا}}}}}}\\right)\\text{\\diwani{كي}} \\left({411}\\right)\\text{\\diwani{مـبـ}}\\right|\\arabsum{\\infty -}{\\text{\\takween{مـخـ}}} \\approx \\prescript{\\text{\\takween{ضا}}}{\\text{\\takween{ف}}،{463}،{452}}{\\arabvec{\\text{\\takween{بي}}}}"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "binary equations",
"sample_id": 7114
}
|
[
{
"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:\n8926.515-3642.617i-1689.787j+5849.280k \\in \\mathbb{H}"
},
{
"role": "assistant",
"content": "\\arabH \\in \\text{ك}5849.280+ \\text{ج}1689.787- \\text{ت} 3642.617- 8926.515"
}
] |
{
"complexity": "depth_4_terms_4",
"expression_type": "numbers and groups",
"sample_id": 401
}
|
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