- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: FTLMMdhxrjxHoyZeaenZ_0, bodu=10, $$(\frac{8}{6} - (9 - 5))^2=\textcolor{white}{7\frac{1}{9}}$$return {
["body"] = 10,
["id"] = "PNTM6f_0715_1348",
["obtiznost"] = 0.0292,
["reseni"] = {
["float"] = 7.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 9 },
["render"] = "\\frac{64}{9}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{9}",
["x"] = 7,
["y"] = 1,
["z"] = 9 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 - 5",
["typ"] = "minus" },
["render"] = "(9 - 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{8}{6} - (9 - 5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{6} - (9 - 5))^2",
["typ"] = "mocnina" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.01, bodu=5, $$4 \cdot (8 + (-5 - 8))=\textcolor{white}{-20}$$return {
["body"] = 5,
["id"] = "k5rOBS_0715_1348",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "\\frac{-20}{1}",
["typ"] = "cislo" },
["tex"] = "-20",
["tex_float"] = "-20",
["x"] = -20 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 - 8",
["typ"] = "minus" },
["render"] = "8 + (-5 - 8)",
["typ"] = "plus" },
["render"] = "(8 + (-5 - 8))",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (8 + (-5 - 8))",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.02, bodu=5, $$((7 - 11 + 4) \cdot 6)^2=\textcolor{white}{0}$$return {
["body"] = 5,
["id"] = "5hNg8c_0715_1348",
["obtiznost"] = 0.0204,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.02",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 11 + 4",
["typ"] = "plus" },
["render"] = "(7 - 11 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(7 - 11 + 4) \\cdot 6",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((7 - 11 + 4) \\cdot 6)^2",
["typ"] = "mocnina" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.03, bodu=10, $$\frac{-3}{5} \cdot 6=\textcolor{white}{-3{,}6}$$return {
["body"] = 10,
["id"] = "9ellYz_0715_1348",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -3.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 5 },
["render"] = "\\frac{-18}{5}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{5}",
["tex_float"] = "-3{,}6",
["x"] = -3,
["y"] = 3,
["z"] = 5 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{5} \\cdot 6",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.04, bodu=10, $$\frac{7}{6 \cdot 6}=\textcolor{white}{\frac{7}{36}}$$return {
["body"] = 10,
["id"] = "LU1MTN_0715_1348",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 0.19444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 36 },
["render"] = "\\frac{7}{36}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{36}",
["y"] = 7,
["z"] = 36 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{7}{6 \\cdot 6}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.05, bodu=5, $$9 \cdot 5 \cdot (5 - 10)=\textcolor{white}{-225}$$return {
["body"] = 5,
["id"] = "xQeVqz_0715_1348",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -225,
["jmenovatel"] = 1 },
["render"] = "\\frac{-225}{1}",
["typ"] = "cislo" },
["tex"] = "-225",
["x"] = -225 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 - 10",
["typ"] = "minus" },
["render"] = "(5 - 10)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (5 - 10)",
["typ"] = "krat" },
["render"] = "9 \\cdot 5 \\cdot (5 - 10)",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.06, bodu=5, $$6 \cdot -5 \cdot 6=\textcolor{white}{-180}$$return {
["body"] = 5,
["id"] = "vdea31_0715_1348",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -180,
["jmenovatel"] = 1 },
["render"] = "\\frac{-180}{1}",
["typ"] = "cislo" },
["tex"] = "-180",
["tex_float"] = "-180",
["x"] = -180 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "6 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot -5 \\cdot 6",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.07, bodu=11, $$\frac{-3 - (7 - 8)}{7}=\textcolor{white}{-\frac{2}{7}}$$return {
["body"] = 11,
["id"] = "nEmlJI_0715_1348",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -0.28571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 7 },
["render"] = "\\frac{-2}{7}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{7}",
["y"] = -2,
["z"] = 7 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["render"] = "(7 - 8)",
["typ"] = "zavorka" },
["render"] = "-3 - (7 - 8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-3 - (7 - 8)}{7}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.08, bodu=25, $$(9 - (\frac{-6}{7})^3) \cdot 5=\textcolor{white}{48\frac{51}{343}}$$return {
["body"] = 25,
["id"] = "PN6td3_0715_1348",
["obtiznost"] = 0.3036,
["reseni"] = {
["float"] = 48.148688046647,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16515,
["jmenovatel"] = 343 },
["render"] = "\\frac{16515}{343}",
["typ"] = "cislo" },
["tex"] = "48\\frac{51}{343}",
["x"] = 48,
["y"] = 51,
["z"] = 343 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.08",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{7})^3",
["typ"] = "mocnina" },
["render"] = "9 - (\\frac{-6}{7})^3",
["typ"] = "minus" },
["render"] = "(9 - (\\frac{-6}{7})^3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(9 - (\\frac{-6}{7})^3) \\cdot 5",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.09, bodu=24, $$\frac{6}{6 + 6} - 1\frac{2}{5}=\textcolor{white}{-0{,}9}$$return {
["body"] = 24,
["id"] = "aazNsX_0715_1348",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -0.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 10 },
["render"] = "\\frac{-9}{10}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{10}",
["tex_float"] = "-0{,}9",
["y"] = -9,
["z"] = 10 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["render"] = "\\frac{6}{6 + 6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6 + 6} - 1\\frac{2}{5}",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.1, bodu=6, $$5 \cdot (11 - 3 \cdot 9)=\textcolor{white}{-80}$$return {
["body"] = 6,
["id"] = "N9982C_0715_1348",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 1 },
["render"] = "\\frac{-80}{1}",
["typ"] = "cislo" },
["tex"] = "-80",
["tex_float"] = "-80",
["x"] = -80 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 \\cdot 9",
["typ"] = "krat" },
["render"] = "11 - 3 \\cdot 9",
["typ"] = "minus" },
["render"] = "(11 - 3 \\cdot 9)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (11 - 3 \\cdot 9)",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.11, bodu=13, $$8 - \frac{-8}{-9} + 8=\textcolor{white}{15\frac{1}{9}}$$return {
["body"] = 13,
["id"] = "dHfguE_0715_1348",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 15.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 136,
["jmenovatel"] = 9 },
["render"] = "\\frac{136}{9}",
["typ"] = "cislo" },
["tex"] = "15\\frac{1}{9}",
["x"] = 15,
["y"] = 1,
["z"] = 9 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-9}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{-8}{-9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 - \\frac{-8}{-9} + 8",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.12, bodu=13, $$\frac{-7}{\frac{7}{5} + (-5)}=\textcolor{white}{1\frac{17}{18}}$$return {
["body"] = 13,
["id"] = "FZYN63_0715_1348",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 1.9444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 18 },
["render"] = "\\frac{-35}{-18}",
["typ"] = "cislo" },
["tex"] = "1\\frac{17}{18}",
["x"] = 1,
["y"] = 17,
["z"] = 18 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{5} + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{-7}{\\frac{7}{5} + (-5)}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.13, bodu=14, $$\frac{9 + (-8) + 7}{5}=\textcolor{white}{1{,}6}$$return {
["body"] = 14,
["id"] = "YEo3oU_0715_1348",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 1.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "\\frac{8}{5}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{5}",
["tex_float"] = "1{,}6",
["x"] = 1,
["y"] = 3,
["z"] = 5 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 + (-8) + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9 + (-8) + 7}{5}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.14, bodu=21, $$\frac{(4 + (-11) + 5)^4}{(-7 - 9)^2}=\textcolor{white}{\frac{1}{16}}$$return {
["body"] = 21,
["id"] = "iYTQCb_0715_1348",
["obtiznost"] = 0.2496,
["reseni"] = {
["float"] = 0.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 16 },
["render"] = "\\frac{16}{256}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{16}",
["y"] = 1,
["z"] = 16 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.14",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 + (-11) + 5",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(4 + (-11) + 5)^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(4 + (-11) + 5)^4}{(-7 - 9)^2}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.15, bodu=15, $$\frac{9 + 5 - 3}{7}=\textcolor{white}{1\frac{4}{7}}$$return {
["body"] = 15,
["id"] = "qfTx2H_0715_1348",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 1.5714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "\\frac{11}{7}",
["typ"] = "cislo" },
["tex"] = "1\\frac{4}{7}",
["x"] = 1,
["y"] = 4,
["z"] = 7 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "9 + 5 - 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 5 - 3}{7}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.16, bodu=7, $$3 - (12 \cdot -8 - 8)=\textcolor{white}{107}$$return {
["body"] = 7,
["id"] = "DquLSr_0715_1348",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 107,
["jmenovatel"] = 1 },
["render"] = "\\frac{107}{1}",
["typ"] = "cislo" },
["tex"] = "107",
["x"] = 107 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "12 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "12 \\cdot -8 - 8",
["typ"] = "minus" },
["render"] = "(12 \\cdot -8 - 8)",
["typ"] = "zavorka" },
["render"] = "3 - (12 \\cdot -8 - 8)",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.17, bodu=30, $$\frac{4\frac{2}{6}}{5} \cdot 10=\textcolor{white}{8\frac{2}{3}}$$return {
["body"] = 30,
["id"] = "T680sK_0715_1348",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 8.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 3 },
["render"] = "\\frac{130}{15}",
["typ"] = "cislo" },
["tex"] = "8\\frac{2}{3}",
["x"] = 8,
["y"] = 2,
["z"] = 3 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{5} \\cdot 10",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.18, bodu=16, $$10 - (\frac{5}{11} + 6)=\textcolor{white}{3\frac{6}{11}}$$return {
["body"] = 16,
["id"] = "vAZUJR_0715_1348",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 3.5454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 11 },
["render"] = "\\frac{39}{11}",
["typ"] = "cislo" },
["tex"] = "3\\frac{6}{11}",
["x"] = 3,
["y"] = 6,
["z"] = 11 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{5}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{11} + 6",
["typ"] = "plus" },
["render"] = "(\\frac{5}{11} + 6)",
["typ"] = "zavorka" },
["render"] = "10 - (\\frac{5}{11} + 6)",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.19, bodu=17, $$\frac{\frac{9}{6}}{-6}=\textcolor{white}{-0{,}25}$$return {
["body"] = 17,
["id"] = "EbJ5vZ_0715_1348",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -0.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 4 },
["render"] = "\\frac{3}{-12}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{4}",
["tex_float"] = "-0{,}25",
["y"] = -1,
["z"] = 4 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{6}}{-6}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.2, bodu=9, $$-10 + (-6) - (-11 - 12) \cdot 6=\textcolor{white}{122}$$return {
["body"] = 9,
["id"] = "8j89Jt_0715_1348",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 122,
["jmenovatel"] = 1 },
["render"] = "\\frac{122}{1}",
["typ"] = "cislo" },
["tex"] = "122",
["tex_float"] = "122",
["x"] = 122 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-10 + (-6)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-11 - 12",
["typ"] = "minus" },
["render"] = "(-11 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-11 - 12) \\cdot 6",
["typ"] = "krat" },
["render"] = "-10 + (-6) - (-11 - 12) \\cdot 6",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.21, bodu=33, $$6 \cdot 5 \cdot 11 \cdot 3\frac{1}{3}=\textcolor{white}{1100}$$return {
["body"] = 33,
["id"] = "1lhUp9_0715_1348",
["obtiznost"] = 0.41,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1100,
["jmenovatel"] = 1 },
["render"] = "\\frac{3300}{3}",
["typ"] = "cislo" },
["tex"] = "1100",
["x"] = 1100 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 \\cdot 11",
["typ"] = "krat" },
["render"] = "6 \\cdot 5 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5 \\cdot 11 \\cdot 3\\frac{1}{3}",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.22, bodu=34, $$6 - (9 + 8) + (-8 - 2\frac{1}{5})=\textcolor{white}{-21{,}2}$$return {
["body"] = 34,
["id"] = "LxcUrN_0715_1348",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -21.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -106,
["jmenovatel"] = 5 },
["render"] = "\\frac{-106}{5}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{1}{5}",
["tex_float"] = "-21{,}2",
["x"] = -21,
["y"] = 1,
["z"] = 5 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["render"] = "(9 + 8)",
["typ"] = "zavorka" },
["render"] = "6 - (9 + 8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-8 - 2\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "6 - (9 + 8) + (-8 - 2\\frac{1}{5})",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.23, bodu=35, $$\frac{10}{-11 \cdot 2\frac{5}{9}} - 10=\textcolor{white}{-10\frac{90}{253}}$$return {
["body"] = 35,
["id"] = "kBI6AN_0715_1348",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -10.355731225296,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2620,
["jmenovatel"] = 253 },
["render"] = "\\frac{-2620}{253}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{90}{253}",
["x"] = -10,
["y"] = 90,
["z"] = 253 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "\\frac{10}{-11 \\cdot 2\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-11 \\cdot 2\\frac{5}{9}} - 10",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.24, bodu=44, $$(6 \cdot 2\frac{1}{2})^2 \cdot (\frac{9}{9})^2=\textcolor{white}{225}$$return {
["body"] = 44,
["id"] = "YpvSTB_0715_1348",
["obtiznost"] = 0.5312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 1 },
["render"] = "\\frac{225}{1}",
["typ"] = "cislo" },
["tex"] = "225",
["tex_float"] = "225",
["x"] = 225 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.24",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 2\\frac{1}{2}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot 2\\frac{1}{2})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{9})^2",
["typ"] = "mocnina" },
["render"] = "(6 \\cdot 2\\frac{1}{2})^2 \\cdot (\\frac{9}{9})^2",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.25, bodu=37, $$3\frac{2}{3} \cdot 8 \cdot (10 + (-8))=\textcolor{white}{58\frac{2}{3}}$$return {
["body"] = 37,
["id"] = "gE1iMc_0715_1348",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 58.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 176,
["jmenovatel"] = 3 },
["render"] = "\\frac{176}{3}",
["typ"] = "cislo" },
["tex"] = "58\\frac{2}{3}",
["x"] = 58,
["y"] = 2,
["z"] = 3 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{3} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 + (-8)",
["typ"] = "plus" },
["render"] = "(10 + (-8))",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{3} \\cdot 8 \\cdot (10 + (-8))",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.26, bodu=43, $$-9 - (\frac{7}{\frac{3\frac{3}{6}}{6}})^2=\textcolor{white}{-153}$$return {
["body"] = 43,
["id"] = "AIbVa6_0715_1348",
["obtiznost"] = 0.518,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -153,
["jmenovatel"] = 1 },
["render"] = "\\frac{-153}{1}",
["typ"] = "cislo" },
["tex"] = "-153",
["tex_float"] = "-153",
["x"] = -153 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{7}{\\frac{3\\frac{3}{6}}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{\\frac{3\\frac{3}{6}}{6}})^2",
["typ"] = "mocnina" },
["render"] = "-9 - (\\frac{7}{\\frac{3\\frac{3}{6}}{6}})^2",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.27, bodu=59, $$3\frac{2}{6} - (2\frac{2}{9} \cdot 13 - 12)=\textcolor{white}{-13\frac{5}{9}}$$return {
["body"] = 59,
["id"] = "I9WFpG_0715_1348",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -13.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -122,
["jmenovatel"] = 9 },
["render"] = "\\frac{-366}{27}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{5}{9}",
["x"] = -13,
["y"] = 5,
["z"] = 9 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot 13 - 12",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{9} \\cdot 13 - 12)",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{6} - (2\\frac{2}{9} \\cdot 13 - 12)",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.28, bodu=39, $$\frac{\frac{3\frac{5}{10}}{12 \cdot 4}}{-8}=\textcolor{white}{-\frac{7}{768}}$$return {
["body"] = 39,
["id"] = "04BBot_0715_1348",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -0.0091145833333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 768 },
["render"] = "\\frac{7}{-768}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{768}",
["y"] = -7,
["z"] = 768 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{10}}{12 \\cdot 4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{5}{10}}{12 \\cdot 4}}{-8}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.29, bodu=24, $$\frac{-7}{6} \cdot \frac{12}{-4}=\textcolor{white}{3{,}5}$$return {
["body"] = 24,
["id"] = "GFmG8N_0715_1348",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "\\frac{21}{6}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{2}",
["tex_float"] = "3{,}5",
["x"] = 3,
["y"] = 1,
["z"] = 2 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-4}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{6} \\cdot \\frac{12}{-4}",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.3, bodu=62, $$-10 \cdot (4 - (4\frac{2}{6} - (2\frac{4}{8} + (-4))))=\textcolor{white}{18\frac{1}{3}}$$return {
["body"] = 62,
["id"] = "e1JH8g_0715_1348",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 18.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 3 },
["render"] = "\\frac{110}{6}",
["typ"] = "cislo" },
["tex"] = "18\\frac{1}{3}",
["x"] = 18,
["y"] = 1,
["z"] = 3 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} + (-4)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{8} + (-4))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{6} - (2\\frac{4}{8} + (-4))",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{6} - (2\\frac{4}{8} + (-4)))",
["typ"] = "zavorka" },
["render"] = "4 - (4\\frac{2}{6} - (2\\frac{4}{8} + (-4)))",
["typ"] = "minus" },
["render"] = "(4 - (4\\frac{2}{6} - (2\\frac{4}{8} + (-4))))",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (4 - (4\\frac{2}{6} - (2\\frac{4}{8} + (-4))))",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.31, bodu=25, $$\frac{\frac{10 \cdot -11}{-7}}{-2}=\textcolor{white}{-7\frac{6}{7}}$$return {
["body"] = 25,
["id"] = "uIqaKf_0715_1348",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = -7.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 7 },
["render"] = "\\frac{110}{-14}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{6}{7}",
["x"] = -7,
["y"] = 6,
["z"] = 7 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "10 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot -11}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10 \\cdot -11}{-7}}{-2}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.32, bodu=52, $$(\frac{\frac{12}{3\frac{3}{5} + (-4)}}{6 - 4})^2=\textcolor{white}{225}$$return {
["body"] = 52,
["id"] = "eBDDtH_0715_1348",
["obtiznost"] = 0.6104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 1 },
["render"] = "\\frac{225}{1}",
["typ"] = "cislo" },
["tex"] = "225",
["tex_float"] = "225",
["x"] = 225 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.32",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} + (-4)",
["typ"] = "plus" },
["render"] = "\\frac{12}{3\\frac{3}{5} + (-4)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 - 4",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{12}{3\\frac{3}{5} + (-4)}}{6 - 4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{12}{3\\frac{3}{5} + (-4)}}{6 - 4})^2",
["typ"] = "mocnina" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.33, bodu=66, $$\frac{12 \cdot 3\frac{4}{10} + 9}{-6 - 4\frac{3}{7}}=\textcolor{white}{-4\frac{283}{365}}$$return {
["body"] = 66,
["id"] = "6p0b8N_0715_1348",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -4.7753424657534,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1743,
["jmenovatel"] = 365 },
["render"] = "\\frac{1743}{-365}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{283}{365}",
["x"] = -4,
["y"] = 283,
["z"] = 365 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 \\cdot 3\\frac{4}{10} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-6 - 4\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "\\frac{12 \\cdot 3\\frac{4}{10} + 9}{-6 - 4\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.34, bodu=67, $$\frac{2\frac{1}{5}}{3} - 4 - (-9 + 1\frac{3}{7})=\textcolor{white}{4\frac{32}{105}}$$return {
["body"] = 67,
["id"] = "EhNQcZ_0715_1348",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 4.3047619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 452,
["jmenovatel"] = 105 },
["render"] = "\\frac{452}{105}",
["typ"] = "cislo" },
["tex"] = "4\\frac{32}{105}",
["x"] = 4,
["y"] = 32,
["z"] = 105 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{3} - 4",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(-9 + 1\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{1}{5}}{3} - 4 - (-9 + 1\\frac{3}{7})",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.35, bodu=46, $$\frac{2\frac{2}{7} \cdot -7 \cdot -9}{5}=\textcolor{white}{28{,}8}$$return {
["body"] = 46,
["id"] = "e7F0OM_0715_1348",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 28.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 5 },
["render"] = "\\frac{144}{5}",
["typ"] = "cislo" },
["tex"] = "28\\frac{4}{5}",
["tex_float"] = "28{,}8",
["x"] = 28,
["y"] = 4,
["z"] = 5 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} \\cdot -7 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{7} \\cdot -7 \\cdot -9}{5}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.36, bodu=100, $$\frac{11 - 4\frac{3}{7}}{(\frac{6}{1\frac{2}{8}})^2}=\textcolor{white}{\frac{575}{2016}}$$return {
["body"] = 100,
["id"] = "jY9PlC_0715_1348",
["obtiznost"] = 1.0004,
["reseni"] = {
["float"] = 0.28521825396825,
["objekt"] = {
["hodnota"] = {
["citatel"] = 575,
["jmenovatel"] = 2016 },
["render"] = "\\frac{1150}{4032}",
["typ"] = "cislo" },
["tex"] = "\\frac{575}{2016}",
["y"] = 575,
["z"] = 2016 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{1\\frac{2}{8}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{11 - 4\\frac{3}{7}}{(\\frac{6}{1\\frac{2}{8}})^2}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.37, bodu=48, $$9 \cdot 8 + \frac{3\frac{1}{2}}{8}=\textcolor{white}{72\frac{7}{16}}$$return {
["body"] = 48,
["id"] = "TA41nf_0715_1348",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 72.4375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1159,
["jmenovatel"] = 16 },
["render"] = "\\frac{1159}{16}",
["typ"] = "cislo" },
["tex"] = "72\\frac{7}{16}",
["x"] = 72,
["y"] = 7,
["z"] = 16 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{2}}{8}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot 8 + \\frac{3\\frac{1}{2}}{8}",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.38, bodu=49, $$4 + 8 - 3\frac{5}{9} + 14 \cdot 15=\textcolor{white}{218\frac{4}{9}}$$return {
["body"] = 49,
["id"] = "YtVcdr_0715_1348",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 218.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1966,
["jmenovatel"] = 9 },
["render"] = "\\frac{1966}{9}",
["typ"] = "cislo" },
["tex"] = "218\\frac{4}{9}",
["x"] = 218,
["y"] = 4,
["z"] = 9 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "4 + 8 - 3\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "14 \\cdot 15",
["typ"] = "krat" },
["render"] = "4 + 8 - 3\\frac{5}{9} + 14 \\cdot 15",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.39, bodu=50, $$(11 - (-4)) \cdot 4\frac{4}{8} \cdot 5=\textcolor{white}{337{,}5}$$return {
["body"] = 50,
["id"] = "MMPSwD_0715_1348",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 337.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 675,
["jmenovatel"] = 2 },
["render"] = "\\frac{675}{2}",
["typ"] = "cislo" },
["tex"] = "337\\frac{1}{2}",
["tex_float"] = "337{,}5",
["x"] = 337,
["y"] = 1,
["z"] = 2 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.39",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "11 - (-4)",
["typ"] = "minus" },
["render"] = "(11 - (-4))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 5",
["typ"] = "krat" },
["render"] = "(11 - (-4)) \\cdot 4\\frac{4}{8} \\cdot 5",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.4, bodu=74, $$2\frac{4}{11} \cdot 2\frac{4}{10} \cdot 4 \cdot (13 - (-4))=\textcolor{white}{385\frac{41}{55}}$$return {
["body"] = 74,
["id"] = "5UXZ6w_0715_1348",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 385.74545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21216,
["jmenovatel"] = 55 },
["render"] = "\\frac{21216}{55}",
["typ"] = "cislo" },
["tex"] = "385\\frac{41}{55}",
["x"] = 385,
["y"] = 41,
["z"] = 55 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "13 - (-4)",
["typ"] = "minus" },
["render"] = "(13 - (-4))",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (13 - (-4))",
["typ"] = "krat" },
["render"] = "2\\frac{4}{10} \\cdot 4 \\cdot (13 - (-4))",
["typ"] = "krat" },
["render"] = "2\\frac{4}{11} \\cdot 2\\frac{4}{10} \\cdot 4 \\cdot (13 - (-4))",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.41, bodu=52, $$\frac{3\frac{2}{5}}{-6 + 6 + 1} - 8 \cdot 12=\textcolor{white}{-92{,}6}$$return {
["body"] = 52,
["id"] = "hVvIHR_0715_1348",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -92.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -463,
["jmenovatel"] = 5 },
["render"] = "\\frac{-463}{5}",
["typ"] = "cislo" },
["tex"] = "-92\\frac{3}{5}",
["tex_float"] = "-92{,}6",
["x"] = -92,
["y"] = 3,
["z"] = 5 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "1",
["typ"] = "cislo" },
["render"] = "-6 + 6 + 1",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{2}{5}}{-6 + 6 + 1}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{5}}{-6 + 6 + 1} - 8 \\cdot 12",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.42, bodu=130, $$(\frac{10 \cdot 7 - 2\frac{5}{10}}{2\frac{4}{6} \cdot 15})^2=\textcolor{white}{2\frac{217}{256}}$$return {
["body"] = 130,
["id"] = "l45syo_0715_1348",
["obtiznost"] = 1.214,
["reseni"] = {
["float"] = 2.84765625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 256 },
["render"] = "\\frac{729}{256}",
["typ"] = "cislo" },
["tex"] = "2\\frac{217}{256}",
["x"] = 2,
["y"] = 217,
["z"] = 256 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.42",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7 - 2\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{10 \\cdot 7 - 2\\frac{5}{10}}{2\\frac{4}{6} \\cdot 15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10 \\cdot 7 - 2\\frac{5}{10}}{2\\frac{4}{6} \\cdot 15})^2",
["typ"] = "mocnina" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.43, bodu=78, $$\frac{4\frac{3}{8}}{\frac{9}{-5 + (-15)} \cdot 3\frac{2}{7}}=\textcolor{white}{-2\frac{397}{414}}$$return {
["body"] = 78,
["id"] = "p7zZbk_0715_1348",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -2.9589371980676,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1225,
["jmenovatel"] = 414 },
["render"] = "\\frac{4900}{-1656}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{397}{414}",
["x"] = -2,
["y"] = 397,
["z"] = 414 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-5 + (-15)",
["typ"] = "plus" },
["render"] = "\\frac{9}{-5 + (-15)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-5 + (-15)} \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{8}}{\\frac{9}{-5 + (-15)} \\cdot 3\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.44, bodu=133, $$(2\frac{1}{5} \cdot 10)^2 - (6 + \frac{1\frac{2}{3}}{2\frac{5}{8}})=\textcolor{white}{477\frac{23}{63}}$$return {
["body"] = 133,
["id"] = "dIJGmj_0715_1348",
["obtiznost"] = 1.234,
["reseni"] = {
["float"] = 477.36507936508,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30074,
["jmenovatel"] = 63 },
["render"] = "\\frac{30074}{63}",
["typ"] = "cislo" },
["tex"] = "477\\frac{23}{63}",
["x"] = 477,
["y"] = 23,
["z"] = 63 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.44",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot 10",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2\\frac{1}{5} \\cdot 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{3}}{2\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{1\\frac{2}{3}}{2\\frac{5}{8}}",
["typ"] = "plus" },
["render"] = "(6 + \\frac{1\\frac{2}{3}}{2\\frac{5}{8}})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{1}{5} \\cdot 10)^2 - (6 + \\frac{1\\frac{2}{3}}{2\\frac{5}{8}})",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.45, bodu=18, $$(-14 + 15)^4 \cdot (15 + 11 - 5) \cdot 6=\textcolor{white}{126}$$return {
["body"] = 18,
["id"] = "kfMfbL_0715_1348",
["obtiznost"] = 0.4508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 126,
["jmenovatel"] = 1 },
["render"] = "\\frac{126}{1}",
["typ"] = "cislo" },
["tex"] = "126",
["x"] = 126 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-14 + 15",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-14 + 15)^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 - 5",
["typ"] = "minus" },
["render"] = "15 + 11 - 5",
["typ"] = "plus" },
["render"] = "(15 + 11 - 5)",
["typ"] = "zavorka" },
["render"] = "(-14 + 15)^4 \\cdot (15 + 11 - 5)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-14 + 15)^4 \\cdot (15 + 11 - 5) \\cdot 6",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.46, bodu=68, $$1\frac{5}{9} \cdot 6 - \frac{(14 + (-8))^3}{-15}=\textcolor{white}{23\frac{11}{15}}$$return {
["body"] = 68,
["id"] = "sPwQDe_0715_1348",
["obtiznost"] = 0.7468,
["reseni"] = {
["float"] = 23.733333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 356,
["jmenovatel"] = 15 },
["render"] = "\\frac{356}{15}",
["typ"] = "cislo" },
["tex"] = "23\\frac{11}{15}",
["x"] = 23,
["y"] = 11,
["z"] = 15 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(14 + (-8))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{(14 + (-8))^3}{-15}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{9} \\cdot 6 - \\frac{(14 + (-8))^3}{-15}",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.47, bodu=104, $$\frac{-8 + \frac{1\frac{2}{9}}{6}}{(4\frac{2}{8} - 6)^3}=\textcolor{white}{1\frac{4211}{9261}}$$return {
["body"] = 104,
["id"] = "YrLfvC_0715_1348",
["obtiznost"] = 1.0328,
["reseni"] = {
["float"] = 1.454702515927,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13472,
["jmenovatel"] = 9261 },
["render"] = "\\frac{-26944}{-18522}",
["typ"] = "cislo" },
["tex"] = "1\\frac{4211}{9261}",
["x"] = 1,
["y"] = 4211,
["z"] = 9261 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{9}}{6}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{1\\frac{2}{9}}{6}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{2}{8} - 6)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-8 + \\frac{1\\frac{2}{9}}{6}}{(4\\frac{2}{8} - 6)^3}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.48, bodu=60, $$-15 \cdot (3\frac{2}{9} + (-9) - 7 \cdot -9)=\textcolor{white}{-858\frac{1}{3}}$$return {
["body"] = 60,
["id"] = "iW2Dyz_0715_1348",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -858.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2575,
["jmenovatel"] = 3 },
["render"] = "\\frac{-7725}{9}",
["typ"] = "cislo" },
["tex"] = "-858\\frac{1}{3}",
["x"] = -858,
["y"] = 1,
["z"] = 3 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 \\cdot -9",
["typ"] = "krat" },
["render"] = "3\\frac{2}{9} + (-9) - 7 \\cdot -9",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{9} + (-9) - 7 \\cdot -9)",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (3\\frac{2}{9} + (-9) - 7 \\cdot -9)",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.49, bodu=40, $$\frac{11 - 17}{\frac{-9}{-7} + 4}=\textcolor{white}{-1\frac{5}{37}}$$return {
["body"] = 40,
["id"] = "IBBEhS_0715_1348",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -1.1351351351351,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42,
["jmenovatel"] = 37 },
["render"] = "\\frac{-42}{37}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5}{37}",
["x"] = -1,
["y"] = 5,
["z"] = 37 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "11 - 17",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-7} + 4",
["typ"] = "plus" },
["render"] = "\\frac{11 - 17}{\\frac{-9}{-7} + 4}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.5, bodu=62, $$1\frac{2}{6} \cdot \frac{\frac{15}{11}}{6}=\textcolor{white}{\frac{10}{33}}$$return {
["body"] = 62,
["id"] = "8eE7uF_0715_1348",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 0.3030303030303,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 33 },
["render"] = "\\frac{20}{66}",
["typ"] = "cislo" },
["tex"] = "\\frac{10}{33}",
["y"] = 10,
["z"] = 33 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{15}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{11}}{6}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{6} \\cdot \\frac{\\frac{15}{11}}{6}",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.51, bodu=63, $$\frac{\frac{3\frac{2}{5}}{9}}{(11 + (-11))^3 + 5} \cdot 10=\textcolor{white}{\frac{34}{45}}$$return {
["body"] = 63,
["id"] = "7TPX28_0715_1348",
["obtiznost"] = 0.7104,
["reseni"] = {
["float"] = 0.75555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 45 },
["render"] = "\\frac{170}{225}",
["typ"] = "cislo" },
["tex"] = "\\frac{34}{45}",
["y"] = 34,
["z"] = 45 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "11 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(11 + (-11))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(11 + (-11))^3 + 5",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{3\\frac{2}{5}}{9}}{(11 + (-11))^3 + 5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{2}{5}}{9}}{(11 + (-11))^3 + 5} \\cdot 10",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.52, bodu=65, $$5 \cdot (6 - 8)^2 - \frac{1\frac{2}{6}}{-5}=\textcolor{white}{20\frac{4}{15}}$$return {
["body"] = 65,
["id"] = "Ppmzgz_0715_1348",
["obtiznost"] = 0.722,
["reseni"] = {
["float"] = 20.266666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 304,
["jmenovatel"] = 15 },
["render"] = "\\frac{304}{15}",
["typ"] = "cislo" },
["tex"] = "20\\frac{4}{15}",
["x"] = 20,
["y"] = 4,
["z"] = 15 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 8)^2",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (6 - 8)^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{6}}{-5}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot (6 - 8)^2 - \\frac{1\\frac{2}{6}}{-5}",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.53, bodu=66, $$(12 + (-3) + (-11 \cdot 11)) \cdot (14 - 3\frac{5}{7})=\textcolor{white}{-1152}$$return {
["body"] = 66,
["id"] = "BSnvM2_0715_1348",
["obtiznost"] = 0.73,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1152,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8064}{7}",
["typ"] = "cislo" },
["tex"] = "-1152",
["tex_float"] = "-1152",
["x"] = -1152 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.53",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "12 + (-3)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 11",
["typ"] = "krat" },
["render"] = "12 + (-3) + (-11 \\cdot 11)",
["typ"] = "plus" },
["render"] = "(12 + (-3) + (-11 \\cdot 11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "14 - 3\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "(14 - 3\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "(12 + (-3) + (-11 \\cdot 11)) \\cdot (14 - 3\\frac{5}{7})",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.54, bodu=127, $$(3\frac{4}{7} \cdot 2\frac{4}{5})^2 \cdot ((-15 + (-8))^2 - 13)=\textcolor{white}{51600}$$return {
["body"] = 127,
["id"] = "Eho3Sh_0715_1348",
["obtiznost"] = 1.1924,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 51600,
["jmenovatel"] = 1 },
["render"] = "\\frac{51600}{1}",
["typ"] = "cislo" },
["tex"] = "51600",
["x"] = 51600 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.54",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} \\cdot 2\\frac{4}{5}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3\\frac{4}{7} \\cdot 2\\frac{4}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-15 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-15 + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-15 + (-8))^2 - 13",
["typ"] = "minus" },
["render"] = "((-15 + (-8))^2 - 13)",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{7} \\cdot 2\\frac{4}{5})^2 \\cdot ((-15 + (-8))^2 - 13)",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.55, bodu=93, $$-15 \cdot 4\frac{1}{6} + \frac{13 - 5}{4\frac{3}{7}}=\textcolor{white}{-60\frac{43}{62}}$$return {
["body"] = 93,
["id"] = "RMJ7dU_0715_1348",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -60.693548387097,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3763,
["jmenovatel"] = 62 },
["render"] = "\\frac{-3763}{62}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{43}{62}",
["x"] = -60,
["y"] = 43,
["z"] = 62 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "13 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13 - 5}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot 4\\frac{1}{6} + \\frac{13 - 5}{4\\frac{3}{7}}",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.56, bodu=69, $$15 \cdot (9 - \frac{19 + 4\frac{2}{6}}{12})=\textcolor{white}{105\frac{5}{6}}$$return {
["body"] = 69,
["id"] = "f6t31G_0715_1348",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 105.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 635,
["jmenovatel"] = 6 },
["render"] = "\\frac{1905}{18}",
["typ"] = "cislo" },
["tex"] = "105\\frac{5}{6}",
["x"] = 105,
["y"] = 5,
["z"] = 6 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "19 + 4\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{19 + 4\\frac{2}{6}}{12}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{19 + 4\\frac{2}{6}}{12}",
["typ"] = "minus" },
["render"] = "(9 - \\frac{19 + 4\\frac{2}{6}}{12})",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (9 - \\frac{19 + 4\\frac{2}{6}}{12})",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.57, bodu=70, $$3\frac{4}{5} - (-15 - (-16)) - (-13) - 15=\textcolor{white}{0{,}8}$$return {
["body"] = 70,
["id"] = "wllDfL_0715_1348",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 0.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 5 },
["render"] = "\\frac{4}{5}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{5}",
["tex_float"] = "0{,}8",
["y"] = 4,
["z"] = 5 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-15 - (-16)",
["typ"] = "minus" },
["render"] = "(-15 - (-16))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{5} - (-15 - (-16))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} - (-15 - (-16)) - (-13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} - (-15 - (-16)) - (-13) - 15",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.58, bodu=97, $$(-13 - (-15)) \cdot (1\frac{3}{5} + 3\frac{5}{7} - 14)=\textcolor{white}{-17\frac{13}{35}}$$return {
["body"] = 97,
["id"] = "1CGgF2_0715_1348",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -17.371428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -608,
["jmenovatel"] = 35 },
["render"] = "\\frac{-608}{35}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{13}{35}",
["x"] = -17,
["y"] = 13,
["z"] = 35 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.58",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-13 - (-15)",
["typ"] = "minus" },
["render"] = "(-13 - (-15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} + 3\\frac{5}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} + 3\\frac{5}{7} - 14",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{5} + 3\\frac{5}{7} - 14)",
["typ"] = "zavorka" },
["render"] = "(-13 - (-15)) \\cdot (1\\frac{3}{5} + 3\\frac{5}{7} - 14)",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.59, bodu=73, $$(-10 + 9) \cdot -7 \cdot 7 \cdot 1\frac{2}{9}=\textcolor{white}{59\frac{8}{9}}$$return {
["body"] = 73,
["id"] = "PnTWV0_0715_1348",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 59.888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 539,
["jmenovatel"] = 9 },
["render"] = "\\frac{539}{9}",
["typ"] = "cislo" },
["tex"] = "59\\frac{8}{9}",
["x"] = 59,
["y"] = 8,
["z"] = 9 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 + 9",
["typ"] = "plus" },
["render"] = "(-10 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "-7 \\cdot 7 \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "(-10 + 9) \\cdot -7 \\cdot 7 \\cdot 1\\frac{2}{9}",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.6, bodu=74, $$\frac{1\frac{2}{8}}{8 - 15 + 11 + \frac{-9}{-11}}=\textcolor{white}{\frac{55}{212}}$$return {
["body"] = 74,
["id"] = "GzxwFg_0715_1348",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 0.25943396226415,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 212 },
["render"] = "\\frac{55}{212}",
["typ"] = "cislo" },
["tex"] = "\\frac{55}{212}",
["y"] = 55,
["z"] = 212 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "8 - 15",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-11}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{-9}{-11}",
["typ"] = "plus" },
["render"] = "8 - 15 + 11 + \\frac{-9}{-11}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{2}{8}}{8 - 15 + 11 + \\frac{-9}{-11}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.61, bodu=129, $$\frac{-8 + 1\frac{3}{8} - 2\frac{4}{9} + (-8 + (-11)) \cdot 10}{2\frac{3}{8}}=\textcolor{white}{-83\frac{140}{171}}$$return {
["body"] = 129,
["id"] = "lZTxjg_0715_1348",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -83.818713450292,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14333,
["jmenovatel"] = 171 },
["render"] = "\\frac{-114664}{1368}",
["typ"] = "cislo" },
["tex"] = "-83\\frac{140}{171}",
["x"] = -83,
["y"] = 140,
["z"] = 171 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - 2\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-8 + (-11)",
["typ"] = "plus" },
["render"] = "(-8 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-8 + (-11)) \\cdot 10",
["typ"] = "krat" },
["render"] = "1\\frac{3}{8} - 2\\frac{4}{9} + (-8 + (-11)) \\cdot 10",
["typ"] = "plus" },
["render"] = "-8 + 1\\frac{3}{8} - 2\\frac{4}{9} + (-8 + (-11)) \\cdot 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-8 + 1\\frac{3}{8} - 2\\frac{4}{9} + (-8 + (-11)) \\cdot 10}{2\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.62, bodu=60, $$\frac{(-10 - (-9))^2}{14 - (\frac{3}{-5})^3}=\textcolor{white}{\frac{125}{1777}}$$return {
["body"] = 60,
["id"] = "Xu7dFn_0715_1348",
["obtiznost"] = 0.6816,
["reseni"] = {
["float"] = 0.070343275182893,
["objekt"] = {
["hodnota"] = {
["citatel"] = 125,
["jmenovatel"] = 1777 },
["render"] = "\\frac{125}{1777}",
["typ"] = "cislo" },
["tex"] = "\\frac{125}{1777}",
["y"] = 125,
["z"] = 1777 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.62",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-10 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 - (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{3}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{3}{-5})^3",
["typ"] = "mocnina" },
["render"] = "14 - (\\frac{3}{-5})^3",
["typ"] = "minus" },
["render"] = "\\frac{(-10 - (-9))^2}{14 - (\\frac{3}{-5})^3}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.63, bodu=132, $$8 \cdot 2\frac{1}{5} + (-12 - 1\frac{1}{6}) \cdot (-12 + 1\frac{3}{7})=\textcolor{white}{156\frac{83}{105}}$$return {
["body"] = 132,
["id"] = "d9T0DJ_0715_1348",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 156.79047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16463,
["jmenovatel"] = 105 },
["render"] = "\\frac{16463}{105}",
["typ"] = "cislo" },
["tex"] = "156\\frac{83}{105}",
["x"] = 156,
["y"] = 83,
["z"] = 105 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-12 - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(-12 - 1\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-12 + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(-12 + 1\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "(-12 - 1\\frac{1}{6}) \\cdot (-12 + 1\\frac{3}{7})",
["typ"] = "krat" },
["render"] = "8 \\cdot 2\\frac{1}{5} + (-12 - 1\\frac{1}{6}) \\cdot (-12 + 1\\frac{3}{7})",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.64, bodu=79, $$(\frac{3\frac{3}{6}}{5} + (-13)) \cdot (-9 - (-18) + 14)=\textcolor{white}{-282{,}9}$$return {
["body"] = 79,
["id"] = "oS0xM7_0715_1348",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -282.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2829,
["jmenovatel"] = 10 },
["render"] = "\\frac{-2829}{10}",
["typ"] = "cislo" },
["tex"] = "-282\\frac{9}{10}",
["tex_float"] = "-282{,}9",
["x"] = -282,
["y"] = 9,
["z"] = 10 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.64",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{5} + (-13)",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{3}{6}}{5} + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-9 - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-9 - (-18) + 14",
["typ"] = "plus" },
["render"] = "(-9 - (-18) + 14)",
["typ"] = "zavorka" },
["render"] = "(\\frac{3\\frac{3}{6}}{5} + (-13)) \\cdot (-9 - (-18) + 14)",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.65, bodu=142, $$(\frac{7}{-8})^2 - (\frac{1\frac{1}{4}}{1\frac{4}{7}} - 1\frac{1}{5})=\textcolor{white}{1\frac{599}{3520}}$$return {
["body"] = 142,
["id"] = "wneBu4_0715_1348",
["obtiznost"] = 1.2952,
["reseni"] = {
["float"] = 1.1701704545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4119,
["jmenovatel"] = 3520 },
["render"] = "\\frac{16476}{14080}",
["typ"] = "cislo" },
["tex"] = "1\\frac{599}{3520}",
["x"] = 1,
["y"] = 599,
["z"] = 3520 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.65",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{-8})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{1\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{1\\frac{4}{7}} - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{1}{4}}{1\\frac{4}{7}} - 1\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "(\\frac{7}{-8})^2 - (\\frac{1\\frac{1}{4}}{1\\frac{4}{7}} - 1\\frac{1}{5})",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.66, bodu=108, $$\frac{-19}{16} + 2\frac{2}{6} \cdot 1\frac{2}{4} \cdot 14=\textcolor{white}{47\frac{13}{16}}$$return {
["body"] = 108,
["id"] = "qLWMKB_0715_1348",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 47.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 765,
["jmenovatel"] = 16 },
["render"] = "\\frac{765}{16}",
["typ"] = "cislo" },
["tex"] = "47\\frac{13}{16}",
["x"] = 47,
["y"] = 13,
["z"] = 16 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{16}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} \\cdot 14",
["typ"] = "krat" },
["render"] = "2\\frac{2}{6} \\cdot 1\\frac{2}{4} \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{-19}{16} + 2\\frac{2}{6} \\cdot 1\\frac{2}{4} \\cdot 14",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.67, bodu=138, $$\frac{2\frac{1}{5}}{\frac{-7 \cdot 2\frac{5}{11} - (-10)}{2\frac{1}{7}}}=\textcolor{white}{-\frac{363}{553}}$$return {
["body"] = 138,
["id"] = "eXsc5T_0715_1348",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -0.65641952983725,
["objekt"] = {
["hodnota"] = {
["citatel"] = -363,
["jmenovatel"] = 553 },
["render"] = "\\frac{1815}{-2765}",
["typ"] = "cislo" },
["tex"] = "-\\frac{363}{553}",
["y"] = -363,
["z"] = 553 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 2\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 2\\frac{5}{11} - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 2\\frac{5}{11} - (-10)}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{5}}{\\frac{-7 \\cdot 2\\frac{5}{11} - (-10)}{2\\frac{1}{7}}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.68, bodu=111, $$10 \cdot 12 \cdot (3\frac{5}{14} - 4\frac{5}{12}) \cdot (-15 + (-14))=\textcolor{white}{3687\frac{1}{7}}$$return {
["body"] = 111,
["id"] = "hsJ7Gh_0715_1348",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 3687.1428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25810,
["jmenovatel"] = 7 },
["render"] = "\\frac{25810}{7}",
["typ"] = "cislo" },
["tex"] = "3687\\frac{1}{7}",
["x"] = 3687,
["y"] = 1,
["z"] = 7 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} - 4\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{14} - 4\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (3\\frac{5}{14} - 4\\frac{5}{12})",
["typ"] = "krat" },
["render"] = "10 \\cdot 12 \\cdot (3\\frac{5}{14} - 4\\frac{5}{12})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-15 + (-14)",
["typ"] = "plus" },
["render"] = "(-15 + (-14))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 12 \\cdot (3\\frac{5}{14} - 4\\frac{5}{12}) \\cdot (-15 + (-14))",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.69, bodu=112, $$\frac{2\frac{1}{5} \cdot 15 + 3\frac{1}{6} + (-7)}{20 - 11 + (-10)}=\textcolor{white}{-29\frac{1}{6}}$$return {
["body"] = 112,
["id"] = "DCCsvr_0715_1348",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -29.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -175,
["jmenovatel"] = 6 },
["render"] = "\\frac{175}{-6}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{1}{6}",
["x"] = -29,
["y"] = 1,
["z"] = 6 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + (-7)",
["typ"] = "plus" },
["render"] = "2\\frac{1}{5} \\cdot 15 + 3\\frac{1}{6} + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "20 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "20 - 11 + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{5} \\cdot 15 + 3\\frac{1}{6} + (-7)}{20 - 11 + (-10)}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.7, bodu=86, $$\frac{\frac{17 \cdot \frac{-17}{4\frac{1}{5}}}{6}}{12}=\textcolor{white}{-\frac{1445}{1512}}$$return {
["body"] = 86,
["id"] = "HQkZbJ_0715_1348",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = -0.95568783068783,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1445,
["jmenovatel"] = 1512 },
["render"] = "\\frac{-1445}{1512}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1445}{1512}",
["y"] = -1445,
["z"] = 1512 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "17 \\cdot \\frac{-17}{4\\frac{1}{5}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{17 \\cdot \\frac{-17}{4\\frac{1}{5}}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{17 \\cdot \\frac{-17}{4\\frac{1}{5}}}{6}}{12}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.71, bodu=115, $$-19 \cdot 3\frac{3}{8} \cdot \frac{2\frac{4}{12}}{-11} \cdot -14=\textcolor{white}{-190\frac{19}{44}}$$return {
["body"] = 115,
["id"] = "ZRLvue_0715_1348",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -190.43181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8379,
["jmenovatel"] = 44 },
["render"] = "\\frac{-16758}{88}",
["typ"] = "cislo" },
["tex"] = "-190\\frac{19}{44}",
["x"] = -190,
["y"] = 19,
["z"] = 44 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{12}}{-11}",
["typ"] = "lomeno" },
["render"] = "-19 \\cdot 3\\frac{3}{8} \\cdot \\frac{2\\frac{4}{12}}{-11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 3\\frac{3}{8} \\cdot \\frac{2\\frac{4}{12}}{-11} \\cdot -14",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.72, bodu=64, $$\frac{7 \cdot -10}{(18 + 15) \cdot -10}=\textcolor{white}{\frac{7}{33}}$$return {
["body"] = 64,
["id"] = "JFkO7W_0715_1348",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 0.21212121212121,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 33 },
["render"] = "\\frac{-70}{-330}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{33}",
["y"] = 7,
["z"] = 33 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "7 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "18 + 15",
["typ"] = "plus" },
["render"] = "(18 + 15)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(18 + 15) \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{7 \\cdot -10}{(18 + 15) \\cdot -10}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.73, bodu=118, $$\frac{-12}{-10 + \frac{5}{\frac{2\frac{2}{8}}{-8}} + 2\frac{4}{8}}=\textcolor{white}{\frac{216}{455}}$$return {
["body"] = 118,
["id"] = "Kb7J30_0715_1348",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 0.47472527472527,
["objekt"] = {
["hodnota"] = {
["citatel"] = 216,
["jmenovatel"] = 455 },
["render"] = "\\frac{-216}{-455}",
["typ"] = "cislo" },
["tex"] = "\\frac{216}{455}",
["y"] = 216,
["z"] = 455 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{-8}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{2\\frac{2}{8}}{-8}}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{5}{\\frac{2\\frac{2}{8}}{-8}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-10 + \\frac{5}{\\frac{2\\frac{2}{8}}{-8}} + 2\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-12}{-10 + \\frac{5}{\\frac{2\\frac{2}{8}}{-8}} + 2\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.74, bodu=149, $$3\frac{3}{10} \cdot -8 \cdot (2\frac{3}{6} + 19 + 3\frac{1}{5} - (-12))=\textcolor{white}{-968{,}88}$$return {
["body"] = 149,
["id"] = "8pTXE2_0715_1348",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -968.88,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24222,
["jmenovatel"] = 25 },
["render"] = "\\frac{-48444}{50}",
["typ"] = "cislo" },
["tex"] = "-968\\frac{22}{25}",
["tex_float"] = "-968{,}88",
["x"] = -968,
["y"] = 22,
["z"] = 25 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "19 + 3\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "2\\frac{3}{6} + 19 + 3\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} + 19 + 3\\frac{1}{5} - (-12)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{6} + 19 + 3\\frac{1}{5} - (-12))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{10} \\cdot -8 \\cdot (2\\frac{3}{6} + 19 + 3\\frac{1}{5} - (-12))",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.75, bodu=196, $$(\frac{6}{-13 \cdot 4})^2 + 2\frac{2}{11} - 3\frac{3}{9} - 3\frac{2}{10}=\textcolor{white}{-4\frac{37723}{111540}}$$return {
["body"] = 196,
["id"] = "rn2afX_0715_1348",
["obtiznost"] = 1.624,
["reseni"] = {
["float"] = -4.3382015420477,
["objekt"] = {
["hodnota"] = {
["citatel"] = -483883,
["jmenovatel"] = 111540 },
["render"] = "\\frac{-483883}{111540}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{37723}{111540}",
["x"] = -4,
["y"] = 37723,
["z"] = 111540 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{6}{-13 \\cdot 4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{-13 \\cdot 4})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{11} - 3\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "(\\frac{6}{-13 \\cdot 4})^2 + 2\\frac{2}{11} - 3\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{-13 \\cdot 4})^2 + 2\\frac{2}{11} - 3\\frac{3}{9} - 3\\frac{2}{10}",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.76, bodu=122, $$\frac{16 + \frac{11}{10} + 2\frac{2}{7} + (-7)}{3\frac{2}{9}}=\textcolor{white}{3\frac{1713}{2030}}$$return {
["body"] = 122,
["id"] = "uVz2LJ_0715_1348",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 3.843842364532,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7803,
["jmenovatel"] = 2030 },
["render"] = "\\frac{7803}{2030}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1713}{2030}",
["x"] = 3,
["y"] = 1713,
["z"] = 2030 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{11}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{11}{10} + 2\\frac{2}{7} + (-7)",
["typ"] = "plus" },
["render"] = "16 + \\frac{11}{10} + 2\\frac{2}{7} + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{16 + \\frac{11}{10} + 2\\frac{2}{7} + (-7)}{3\\frac{2}{9}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.77, bodu=70, $$\frac{18 \cdot -4}{-11 \cdot -9 + 8}=\textcolor{white}{-\frac{72}{107}}$$return {
["body"] = 70,
["id"] = "tXgK0S_0715_1348",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -0.67289719626168,
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 107 },
["render"] = "\\frac{-72}{107}",
["typ"] = "cislo" },
["tex"] = "-\\frac{72}{107}",
["y"] = -72,
["z"] = 107 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "18 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -9 + 8",
["typ"] = "plus" },
["render"] = "\\frac{18 \\cdot -4}{-11 \\cdot -9 + 8}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.78, bodu=97, $$7 \cdot -11 - \frac{9}{12 \cdot 1\frac{2}{9}}=\textcolor{white}{-77\frac{27}{44}}$$return {
["body"] = 97,
["id"] = "XPQ9Tz_0715_1348",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -77.613636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3415,
["jmenovatel"] = 44 },
["render"] = "\\frac{-3415}{44}",
["typ"] = "cislo" },
["tex"] = "-77\\frac{27}{44}",
["x"] = -77,
["y"] = 27,
["z"] = 44 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "7 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "\\frac{9}{12 \\cdot 1\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot -11 - \\frac{9}{12 \\cdot 1\\frac{2}{9}}",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.79, bodu=159, $$\frac{(16 - 14 \cdot 1\frac{1}{3})^3}{9 \cdot 3\frac{3}{12}}=\textcolor{white}{-\frac{2048}{3159}}$$return {
["body"] = 159,
["id"] = "T98j4x_0715_1348",
["obtiznost"] = 1.4056,
["reseni"] = {
["float"] = -0.6483064260842,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2048,
["jmenovatel"] = 3159 },
["render"] = "\\frac{-2048}{3159}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2048}{3159}",
["y"] = -2048,
["z"] = 3159 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.79",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 1\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "16 - 14 \\cdot 1\\frac{1}{3}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(16 - 14 \\cdot 1\\frac{1}{3})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{3}{12}",
["typ"] = "krat" },
["render"] = "\\frac{(16 - 14 \\cdot 1\\frac{1}{3})^3}{9 \\cdot 3\\frac{3}{12}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.8, bodu=128, $$\frac{13 + 1\frac{4}{11}}{18} \cdot 15 - \frac{1\frac{3}{9}}{19}=\textcolor{white}{11\frac{188}{209}}$$return {
["body"] = 128,
["id"] = "Mcrtiu_0715_1348",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 11.8995215311,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2487,
["jmenovatel"] = 209 },
["render"] = "\\frac{22383}{1881}",
["typ"] = "cislo" },
["tex"] = "11\\frac{188}{209}",
["x"] = 11,
["y"] = 188,
["z"] = 209 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "13 + 1\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{13 + 1\\frac{4}{11}}{18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{13 + 1\\frac{4}{11}}{18} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9}}{19}",
["typ"] = "lomeno" },
["render"] = "\\frac{13 + 1\\frac{4}{11}}{18} \\cdot 15 - \\frac{1\\frac{3}{9}}{19}",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.81, bodu=193, $$2\frac{5}{12} - 2\frac{2}{7} + (-21 \cdot 1\frac{5}{9} \cdot -13 - 2\frac{3}{8})=\textcolor{white}{422\frac{71}{168}}$$return {
["body"] = 193,
["id"] = "wqUJ0z_0715_1348",
["obtiznost"] = 1.61,
["reseni"] = {
["float"] = 422.42261904762,
["objekt"] = {
["hodnota"] = {
["citatel"] = 70967,
["jmenovatel"] = 168 },
["render"] = "\\frac{851604}{2016}",
["typ"] = "cislo" },
["tex"] = "422\\frac{71}{168}",
["x"] = 422,
["y"] = 71,
["z"] = 168 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} - 2\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 1\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 1\\frac{5}{9} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 1\\frac{5}{9} \\cdot -13 - 2\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "2\\frac{5}{12} - 2\\frac{2}{7} + (-21 \\cdot 1\\frac{5}{9} \\cdot -13 - 2\\frac{3}{8})",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.82, bodu=162, $$\frac{2\frac{4}{8} + 2\frac{1}{4}}{(-20 - \frac{3\frac{4}{10}}{12}) \cdot -19}=\textcolor{white}{\frac{15}{1217}}$$return {
["body"] = 162,
["id"] = "p4Ofdp_0715_1348",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 0.012325390304026,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1217 },
["render"] = "\\frac{1140}{92492}",
["typ"] = "cislo" },
["tex"] = "\\frac{15}{1217}",
["y"] = 15,
["z"] = 1217 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} + 2\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{10}}{12}",
["typ"] = "lomeno" },
["render"] = "-20 - \\frac{3\\frac{4}{10}}{12}",
["typ"] = "minus" },
["render"] = "(-20 - \\frac{3\\frac{4}{10}}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(-20 - \\frac{3\\frac{4}{10}}{12}) \\cdot -19",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{4}{8} + 2\\frac{1}{4}}{(-20 - \\frac{3\\frac{4}{10}}{12}) \\cdot -19}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.83, bodu=104, $$-7 \cdot \frac{10 - (-10)}{8 - 2\frac{1}{7} \cdot -9}=\textcolor{white}{-5\frac{25}{191}}$$return {
["body"] = 104,
["id"] = "Iw610P_0715_1348",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -5.130890052356,
["objekt"] = {
["hodnota"] = {
["citatel"] = -980,
["jmenovatel"] = 191 },
["render"] = "\\frac{-980}{191}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{25}{191}",
["x"] = -5,
["y"] = 25,
["z"] = 191 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 - (-10)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} \\cdot -9",
["typ"] = "krat" },
["render"] = "8 - 2\\frac{1}{7} \\cdot -9",
["typ"] = "minus" },
["render"] = "\\frac{10 - (-10)}{8 - 2\\frac{1}{7} \\cdot -9}",
["typ"] = "lomeno" },
["render"] = "-7 \\cdot \\frac{10 - (-10)}{8 - 2\\frac{1}{7} \\cdot -9}",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.84, bodu=105, $$4\frac{3}{9} \cdot 14 \cdot 23 - (\frac{-21}{-12} - 12)=\textcolor{white}{1405\frac{7}{12}}$$return {
["body"] = 105,
["id"] = "AUmFh7_0715_1348",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 1405.5833333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16867,
["jmenovatel"] = 12 },
["render"] = "\\frac{16867}{12}",
["typ"] = "cislo" },
["tex"] = "1405\\frac{7}{12}",
["x"] = 1405,
["y"] = 7,
["z"] = 12 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot 14 \\cdot 23",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{-12} - 12",
["typ"] = "minus" },
["render"] = "(\\frac{-21}{-12} - 12)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} \\cdot 14 \\cdot 23 - (\\frac{-21}{-12} - 12)",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.85, bodu=200, $$(4\frac{4}{5} + 2\frac{4}{7} + 3\frac{5}{10} \cdot -14 \cdot 8) \cdot (13 - 2\frac{1}{5})=\textcolor{white}{-4153\frac{173}{175}}$$return {
["body"] = 200,
["id"] = "qRwTey_0715_1348",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -4153.9885714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -726948,
["jmenovatel"] = 175 },
["render"] = "\\frac{-726948}{175}",
["typ"] = "cislo" },
["tex"] = "-4153\\frac{173}{175}",
["x"] = -4153,
["y"] = 173,
["z"] = 175 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.85",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{5} + 2\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot -14 \\cdot 8",
["typ"] = "krat" },
["render"] = "4\\frac{4}{5} + 2\\frac{4}{7} + 3\\frac{5}{10} \\cdot -14 \\cdot 8",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{5} + 2\\frac{4}{7} + 3\\frac{5}{10} \\cdot -14 \\cdot 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "13 - 2\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(13 - 2\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{4}{5} + 2\\frac{4}{7} + 3\\frac{5}{10} \\cdot -14 \\cdot 8) \\cdot (13 - 2\\frac{1}{5})",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.86, bodu=168, $$\frac{4\frac{3}{9}}{14 - 1\frac{2}{7} \cdot (-6 - \frac{1\frac{2}{7}}{-13})}=\textcolor{white}{\frac{8281}{41253}}$$return {
["body"] = 168,
["id"] = "d0DaCP_0715_1348",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 0.20073691610307,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8281,
["jmenovatel"] = 41253 },
["render"] = "\\frac{8281}{41253}",
["typ"] = "cislo" },
["tex"] = "\\frac{8281}{41253}",
["y"] = 8281,
["z"] = 41253 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.86",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7}}{-13}",
["typ"] = "lomeno" },
["render"] = "-6 - \\frac{1\\frac{2}{7}}{-13}",
["typ"] = "minus" },
["render"] = "(-6 - \\frac{1\\frac{2}{7}}{-13})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{7} \\cdot (-6 - \\frac{1\\frac{2}{7}}{-13})",
["typ"] = "krat" },
["render"] = "14 - 1\\frac{2}{7} \\cdot (-6 - \\frac{1\\frac{2}{7}}{-13})",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{9}}{14 - 1\\frac{2}{7} \\cdot (-6 - \\frac{1\\frac{2}{7}}{-13})}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.87, bodu=109, $$\frac{-19}{1\frac{1}{11} - \frac{13}{-9} - 5 - (-4)}=\textcolor{white}{-12{,}375}$$return {
["body"] = 109,
["id"] = "6v5mOU_0715_1348",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -12.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 8 },
["render"] = "\\frac{-1881}{152}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{3}{8}",
["tex_float"] = "-12{,}375",
["x"] = -12,
["y"] = 3,
["z"] = 8 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-9}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{11} - \\frac{13}{-9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{11} - \\frac{13}{-9} - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{11} - \\frac{13}{-9} - 5 - (-4)",
["typ"] = "minus" },
["render"] = "\\frac{-19}{1\\frac{1}{11} - \\frac{13}{-9} - 5 - (-4)}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.88, bodu=172, $$-18 - (9 - 4\frac{3}{9} + \frac{4\frac{3}{9}}{2\frac{4}{12} - 15} - (-19))=\textcolor{white}{-41\frac{37}{114}}$$return {
["body"] = 172,
["id"] = "JhGKZ9_0715_1348",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = -41.324561403509,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4711,
["jmenovatel"] = 114 },
["render"] = "\\frac{-4711}{114}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{37}{114}",
["x"] = -41,
["y"] = 37,
["z"] = 114 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} - 15",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{3}{9}}{2\\frac{4}{12} - 15}",
["typ"] = "lomeno" },
["render"] = "9 - 4\\frac{3}{9} + \\frac{4\\frac{3}{9}}{2\\frac{4}{12} - 15}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{3}{9} + \\frac{4\\frac{3}{9}}{2\\frac{4}{12} - 15} - (-19)",
["typ"] = "minus" },
["render"] = "(9 - 4\\frac{3}{9} + \\frac{4\\frac{3}{9}}{2\\frac{4}{12} - 15} - (-19))",
["typ"] = "zavorka" },
["render"] = "-18 - (9 - 4\\frac{3}{9} + \\frac{4\\frac{3}{9}}{2\\frac{4}{12} - 15} - (-19))",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.89, bodu=173, $$12 + 13 - (2\frac{2}{11} - 2\frac{2}{5} \cdot 4\frac{2}{4} \cdot 14)=\textcolor{white}{174\frac{1}{55}}$$return {
["body"] = 173,
["id"] = "qKFB5w_0715_1348",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = 174.01818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9571,
["jmenovatel"] = 55 },
["render"] = "\\frac{9571}{55}",
["typ"] = "cislo" },
["tex"] = "174\\frac{1}{55}",
["x"] = 174,
["y"] = 1,
["z"] = 55 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 + 13",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{4} \\cdot 14",
["typ"] = "krat" },
["render"] = "2\\frac{2}{5} \\cdot 4\\frac{2}{4} \\cdot 14",
["typ"] = "krat" },
["render"] = "2\\frac{2}{11} - 2\\frac{2}{5} \\cdot 4\\frac{2}{4} \\cdot 14",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{11} - 2\\frac{2}{5} \\cdot 4\\frac{2}{4} \\cdot 14)",
["typ"] = "zavorka" },
["render"] = "12 + 13 - (2\\frac{2}{11} - 2\\frac{2}{5} \\cdot 4\\frac{2}{4} \\cdot 14)",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.9, bodu=175, $$2\frac{4}{10} \cdot 3\frac{5}{15} \cdot 11 \cdot 1\frac{3}{7} \cdot -12=\textcolor{white}{-1508\frac{4}{7}}$$return {
["body"] = 175,
["id"] = "8ZCoWd_0715_1348",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -1508.5714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10560,
["jmenovatel"] = 7 },
["render"] = "\\frac{-10560}{7}",
["typ"] = "cislo" },
["tex"] = "-1508\\frac{4}{7}",
["x"] = -1508,
["y"] = 4,
["z"] = 7 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot 3\\frac{5}{15}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{10} \\cdot 3\\frac{5}{15} \\cdot 11 \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot 3\\frac{5}{15} \\cdot 11 \\cdot 1\\frac{3}{7} \\cdot -12",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.91, bodu=115, $$\frac{(-13 + 2\frac{5}{10}) \cdot -21}{11} - (-4 - (-5 + 8)^2)=\textcolor{white}{33\frac{1}{22}}$$return {
["body"] = 115,
["id"] = "5jRJCG_0715_1348",
["obtiznost"] = 1.114,
["reseni"] = {
["float"] = 33.045454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 727,
["jmenovatel"] = 22 },
["render"] = "\\frac{727}{22}",
["typ"] = "cislo" },
["tex"] = "33\\frac{1}{22}",
["x"] = 33,
["y"] = 1,
["z"] = 22 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(-13 + 2\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "(-13 + 2\\frac{5}{10}) \\cdot -21",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(-13 + 2\\frac{5}{10}) \\cdot -21}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-5 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 8)^2",
["typ"] = "mocnina" },
["render"] = "-4 - (-5 + 8)^2",
["typ"] = "minus" },
["render"] = "(-4 - (-5 + 8)^2)",
["typ"] = "zavorka" },
["render"] = "\\frac{(-13 + 2\\frac{5}{10}) \\cdot -21}{11} - (-4 - (-5 + 8)^2)",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.92, bodu=240, $$\frac{4\frac{5}{6}}{5} + ((\frac{12}{15})^4 + 4\frac{5}{15}) \cdot 3\frac{2}{7}=\textcolor{white}{16\frac{14453}{26250}}$$return {
["body"] = 240,
["id"] = "lntLUc_0715_1348",
["obtiznost"] = 1.8724,
["reseni"] = {
["float"] = 16.55059047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 434453,
["jmenovatel"] = 26250 },
["render"] = "\\frac{6516795}{393750}",
["typ"] = "cislo" },
["tex"] = "16\\frac{14453}{26250}",
["x"] = 16,
["y"] = 14453,
["z"] = 26250 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{6}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{12}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{12}{15})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{15})^4 + 4\\frac{5}{15}",
["typ"] = "plus" },
["render"] = "((\\frac{12}{15})^4 + 4\\frac{5}{15})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "((\\frac{12}{15})^4 + 4\\frac{5}{15}) \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{6}}{5} + ((\\frac{12}{15})^4 + 4\\frac{5}{15}) \\cdot 3\\frac{2}{7}",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.93, bodu=169, $$10 \cdot 2\frac{1}{7} \cdot (\frac{-10}{12})^3 - 4\frac{4}{13} + 4=\textcolor{white}{-12\frac{2321}{3276}}$$return {
["body"] = 169,
["id"] = "CjC8XN_0715_1348",
["obtiznost"] = 1.4664,
["reseni"] = {
["float"] = -12.708485958486,
["objekt"] = {
["hodnota"] = {
["citatel"] = -41633,
["jmenovatel"] = 3276 },
["render"] = "\\frac{-41633}{3276}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{2321}{3276}",
["x"] = -12,
["y"] = 2321,
["z"] = 3276 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 2\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-10}{12})^3",
["typ"] = "mocnina" },
["render"] = "10 \\cdot 2\\frac{1}{7} \\cdot (\\frac{-10}{12})^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 2\\frac{1}{7} \\cdot (\\frac{-10}{12})^3 - 4\\frac{4}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 \\cdot 2\\frac{1}{7} \\cdot (\\frac{-10}{12})^3 - 4\\frac{4}{13} + 4",
["typ"] = "plus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.94, bodu=181, $$\frac{2\frac{2}{4} - 9 - \frac{-11 - 3\frac{5}{7}}{1\frac{4}{10}}}{-5}=\textcolor{white}{-\frac{393}{490}}$$return {
["body"] = 181,
["id"] = "uY1LIO_0715_1348",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -0.80204081632653,
["objekt"] = {
["hodnota"] = {
["citatel"] = -393,
["jmenovatel"] = 490 },
["render"] = "\\frac{393}{-490}",
["typ"] = "cislo" },
["tex"] = "-\\frac{393}{490}",
["y"] = -393,
["z"] = 490 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-11 - 3\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-11 - 3\\frac{5}{7}}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{4} - 9 - \\frac{-11 - 3\\frac{5}{7}}{1\\frac{4}{10}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{4} - 9 - \\frac{-11 - 3\\frac{5}{7}}{1\\frac{4}{10}}}{-5}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.95, bodu=151, $$\frac{(-19 + 4\frac{5}{12} + 13) \cdot 14}{3\frac{3}{7} + (-14 + (-7))}=\textcolor{white}{1\frac{193}{738}}$$return {
["body"] = 151,
["id"] = "G1Y0NV_0715_1348",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 1.2615176151762,
["objekt"] = {
["hodnota"] = {
["citatel"] = 931,
["jmenovatel"] = 738 },
["render"] = "\\frac{-931}{-738}",
["typ"] = "cislo" },
["tex"] = "1\\frac{193}{738}",
["x"] = 1,
["y"] = 193,
["z"] = 738 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} + 13",
["typ"] = "plus" },
["render"] = "-19 + 4\\frac{5}{12} + 13",
["typ"] = "plus" },
["render"] = "(-19 + 4\\frac{5}{12} + 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(-19 + 4\\frac{5}{12} + 13) \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-14 + (-7)",
["typ"] = "plus" },
["render"] = "3\\frac{3}{7} + (-14 + (-7))",
["typ"] = "plus" },
["render"] = "\\frac{(-19 + 4\\frac{5}{12} + 13) \\cdot 14}{3\\frac{3}{7} + (-14 + (-7))}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.96, bodu=185, $$\frac{\frac{3\frac{4}{7}}{3\frac{1}{2} \cdot -6}}{\frac{-9 + 4\frac{5}{8}}{17}}=\textcolor{white}{\frac{680}{1029}}$$return {
["body"] = 185,
["id"] = "MIFbZ7_0715_1348",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 0.66083576287658,
["objekt"] = {
["hodnota"] = {
["citatel"] = 680,
["jmenovatel"] = 1029 },
["render"] = "\\frac{-3400}{-5145}",
["typ"] = "cislo" },
["tex"] = "\\frac{680}{1029}",
["y"] = 680,
["z"] = 1029 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{7}}{3\\frac{1}{2} \\cdot -6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-9 + 4\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + 4\\frac{5}{8}}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{3\\frac{4}{7}}{3\\frac{1}{2} \\cdot -6}}{\\frac{-9 + 4\\frac{5}{8}}{17}}",
["typ"] = "lomeno" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.97, bodu=154, $$-17 - (3\frac{2}{13} \cdot -14 \cdot -17 \cdot 3\frac{3}{7} - (-11))=\textcolor{white}{-2601\frac{7}{13}}$$return {
["body"] = 154,
["id"] = "LKfYST_0715_1348",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -2601.5384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33820,
["jmenovatel"] = 13 },
["render"] = "\\frac{-33820}{13}",
["typ"] = "cislo" },
["tex"] = "-2601\\frac{7}{13}",
["x"] = -2601,
["y"] = 7,
["z"] = 13 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 13 },
["render"] = "3\\frac{2}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{13} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{13} \\cdot -14 \\cdot -17 \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{13} \\cdot -14 \\cdot -17 \\cdot 3\\frac{3}{7} - (-11)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{13} \\cdot -14 \\cdot -17 \\cdot 3\\frac{3}{7} - (-11))",
["typ"] = "zavorka" },
["render"] = "-17 - (3\\frac{2}{13} \\cdot -14 \\cdot -17 \\cdot 3\\frac{3}{7} - (-11))",
["typ"] = "minus" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.98, bodu=260, $$2\frac{2}{8} \cdot \frac{2\frac{1}{4}}{12 \cdot 4\frac{4}{9} + \frac{1\frac{2}{4}}{1\frac{2}{8}}}=\textcolor{white}{\frac{1215}{13088}}$$return {
["body"] = 260,
["id"] = "ortpZ7_0715_1348",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 0.092833129584352,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1215,
["jmenovatel"] = 13088 },
["render"] = "\\frac{1215}{13088}",
["typ"] = "cislo" },
["tex"] = "\\frac{1215}{13088}",
["y"] = 1215,
["z"] = 13088 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.98",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{4}}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot 4\\frac{4}{9} + \\frac{1\\frac{2}{4}}{1\\frac{2}{8}}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{4}}{12 \\cdot 4\\frac{4}{9} + \\frac{1\\frac{2}{4}}{1\\frac{2}{8}}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{8} \\cdot \\frac{2\\frac{1}{4}}{12 \\cdot 4\\frac{4}{9} + \\frac{1\\frac{2}{4}}{1\\frac{2}{8}}}",
["typ"] = "krat" } }
seed: FTLMMdhxrjxHoyZeaenZ_0.99, bodu=157, $$\frac{12}{9 - (6 \cdot \frac{1\frac{4}{11}}{19} + 3\frac{1}{4})}=\textcolor{white}{2\frac{1138}{4447}}$$return {
["body"] = 157,
["id"] = "lS4JZV_0715_1348",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 2.2559028558579,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10032,
["jmenovatel"] = 4447 },
["render"] = "\\frac{10032}{4447}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1138}{4447}",
["x"] = 2,
["y"] = 1138,
["z"] = 4447 },
["seed"] = "FTLMMdhxrjxHoyZeaenZ_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{11}}{19}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{1\\frac{4}{11}}{19}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "6 \\cdot \\frac{1\\frac{4}{11}}{19} + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(6 \\cdot \\frac{1\\frac{4}{11}}{19} + 3\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "9 - (6 \\cdot \\frac{1\\frac{4}{11}}{19} + 3\\frac{1}{4})",
["typ"] = "minus" },
["render"] = "\\frac{12}{9 - (6 \\cdot \\frac{1\\frac{4}{11}}{19} + 3\\frac{1}{4})}",
["typ"] = "lomeno" } }
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