{
"NTCIR12-MathIR-1": ["math:U!plus", "math:V!x", "math:?", "text:mean", "text:arithmetic"],
"NTCIR12-MathIR-2": ["math:U!times", "math:N!1", "math:?", "text:factorial", "text:product"],
"NTCIR12-MathIR-3": ["math:U!plus", "math:N!1", "math:?", "text:progression", "text:arithmetic"],
"NTCIR12-MathIR-4": ["math:U!plus", "math:N!1", "math:?", "text:progression", "text:geometric"],
"NTCIR12-MathIR-5": ["math:O!divide", "math:V!x", "math:?", "text:ratio", "text:division"],
"NTCIR12-MathIR-6": ["text:prospect", "text:interference"],
"NTCIR12-MathIR-7": ["math:U!eq", "math:?", "math:U!times", "math:V!f", "math:M!V-3", "math:?", "math:?", "math:?", "text:boltzmann", "text:machine"],
"NTCIR12-MathIR-8": ["text:neural", "text:network"],
"NTCIR12-MathIR-9": ["text:thermodynamic", "text:hamiltonian"],
"NTCIR12-MathIR-10": ["text:drums", "text:rhythms"],
"NTCIR12-MathIR-11": ["math:U!times", "math:V!l", "math:V!i", "math:V!s", "math:V!t", "text:polymorphic"],
"NTCIR12-MathIR-12": ["math:U!eq", "math:U!plus", "math:U!times", "math:?", "math:?", "math:U!times", "math:?", "math:?", "math:U!times", "math:?", "math:U!plus", "math:?", "math:?"],
"NTCIR12-MathIR-13": ["math:U!eq", "math:U!plus", "math:?", "math:?", "math:U!times", "math:?", "math:U!plus", "math:?", "math:?"],
"NTCIR12-MathIR-14": ["math:U!eq", "math:V!P", "math:U!times", "math:V!N", "math:V!P", "text:complexity"],
"NTCIR12-MathIR-15": ["math:U!plus", "math:U!times", "math:N!3", "math:?", "math:N!1", "text:collatz", "text:conjecture"],
"NTCIR12-MathIR-16": [],
"NTCIR12-MathIR-17": ["math:N!2015", "text:sequence", "text:generating", "text:function"],
"NTCIR12-MathIR-18": ["text:maxwell"],
"NTCIR12-MathIR-19": ["math:U!times", "math:N!2", "math:V!normal-\u03a0", "math:V!normal-\u03a0", "text:pi", "text:tau"],
"NTCIR12-MathIR-20": ["math:U!eq", "math:U!times", "math:?", "math:M!V-3", "math:V!x", "math:V!y", "math:V!\u03bb", "math:?", "math:U!eq", "math:U!times", "math:V!L", "math:M!V-3", "math:V!x", "math:V!y", "math:V!\u03bb", "math:?", "text:lagrange", "text:multiplier"],
"NTCIR12-MathIR-21": ["math:U!eq", "math:U!times", "math:V!L", "math:O!interval(O-O)", "math:?", "math:?", "math:?", "text:loss", "text:function"],
"NTCIR12-MathIR-22": ["math:O!geq", "math:?", "math:O!divide", "math:?", "math:U!times", "math:N!2", "math:V!\u03c0", "text:uncertainty"],
"NTCIR12-MathIR-23": ["math:V!c", "text:warp", "text:drive", "text:alcubierre", "text:drive", "text:faster", "text:than", "text:light", "text:travel"],
"NTCIR12-MathIR-24": ["text:invariance", "text:point", "text:interaction"],
"NTCIR12-MathIR-25": ["text:entropy", "text:bound", "text:bekenstein", "text:hawking"],
"NTCIR12-MathIR-26": ["text:brane", "text:action", "text:cosmological"],
"NTCIR12-MathIR-27": ["math:U!times", "math:V!C", "math:V!o", "math:V!n", "math:U!plus", "math:U!times", "math:V!Z", "math:V!F", "math:V!C", "math:?"],
"NTCIR12-MathIR-28": ["text:categorical", "text:simple", "text:theory"],
"NTCIR12-MathIR-29": [],
}