- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: uRoejFJRYYQaDHIAR5Vi_0, bodu=5, $$-4 \cdot (6 - 3) \cdot 5=\textcolor{white}{-60}$$return {
["body"] = 5,
["id"] = "4HpwqQ_0511_1848",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -60,
["jmenovatel"] = 1 },
["render"] = "\\frac{-60}{1}",
["typ"] = "cislo" },
["tex"] = "-60",
["tex_float"] = "-60",
["x"] = -60 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 - 3",
["typ"] = "minus" },
["render"] = "(6 - 3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(6 - 3) \\cdot 5",
["typ"] = "krat" },
["render"] = "-4 \\cdot (6 - 3) \\cdot 5",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.01, bodu=6, $$2 \cdot ((8 - 4)^4 - 9)=\textcolor{white}{494}$$return {
["body"] = 6,
["id"] = "EFb6b6_0511_1848",
["obtiznost"] = 0.1128,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 494,
["jmenovatel"] = 1 },
["render"] = "\\frac{494}{1}",
["typ"] = "cislo" },
["tex"] = "494",
["tex_float"] = "494",
["x"] = 494 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 - 4",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 4)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(8 - 4)^4 - 9",
["typ"] = "minus" },
["render"] = "((8 - 4)^4 - 9)",
["typ"] = "zavorka" },
["render"] = "2 \\cdot ((8 - 4)^4 - 9)",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.02, bodu=10, $$(\frac{4 \cdot 3}{9})^2=\textcolor{white}{1\frac{7}{9}}$$return {
["body"] = 10,
["id"] = "IrmCuT_0511_1848",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 1.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 9 },
["render"] = "\\frac{16}{9}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{9}",
["x"] = 1,
["y"] = 7,
["z"] = 9 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.02",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "4 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 3}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4 \\cdot 3}{9})^2",
["typ"] = "mocnina" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.03, bodu=5, $$9 \cdot 5 + 5 + 3=\textcolor{white}{53}$$return {
["body"] = 5,
["id"] = "0pdyi7_0511_1848",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 1 },
["render"] = "\\frac{53}{1}",
["typ"] = "cislo" },
["tex"] = "53",
["x"] = 53 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.03",
["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 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5 + 5 + 3",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.04, bodu=11, $$(\frac{5}{6})^2 \cdot 6=\textcolor{white}{4\frac{1}{6}}$$return {
["body"] = 11,
["id"] = "q0koFm_0511_1848",
["obtiznost"] = 0.0644,
["reseni"] = {
["float"] = 4.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "\\frac{150}{36}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{6}",
["x"] = 4,
["y"] = 1,
["z"] = 6 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{5}{6})^2 \\cdot 6",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.05, bodu=5, $$-7 \cdot (-11 - (7 - 8))=\textcolor{white}{70}$$return {
["body"] = 5,
["id"] = "Cs9pWG_0511_1848",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 1 },
["render"] = "\\frac{70}{1}",
["typ"] = "cislo" },
["tex"] = "70",
["x"] = 70 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["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"] = "-11 - (7 - 8)",
["typ"] = "minus" },
["render"] = "(-11 - (7 - 8))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (-11 - (7 - 8))",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.06, bodu=11, $$((\frac{5}{-4})^2 + 5) \cdot -6=\textcolor{white}{-39{,}375}$$return {
["body"] = 11,
["id"] = "laN8Ok_0511_1848",
["obtiznost"] = 0.0764,
["reseni"] = {
["float"] = -39.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -315,
["jmenovatel"] = 8 },
["render"] = "\\frac{-630}{16}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{3}{8}",
["tex_float"] = "-39{,}375",
["x"] = -39,
["y"] = 3,
["z"] = 8 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.06",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{-4})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(\\frac{5}{-4})^2 + 5",
["typ"] = "plus" },
["render"] = "((\\frac{5}{-4})^2 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "((\\frac{5}{-4})^2 + 5) \\cdot -6",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.07, bodu=11, $$\frac{8}{(4 + 10) \cdot 7}=\textcolor{white}{\frac{4}{49}}$$return {
["body"] = 11,
["id"] = "doVjI0_0511_1848",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 0.081632653061224,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 49 },
["render"] = "\\frac{8}{98}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{49}",
["y"] = 4,
["z"] = 49 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 + 10",
["typ"] = "plus" },
["render"] = "(4 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(4 + 10) \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{8}{(4 + 10) \\cdot 7}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.08, bodu=23, $$\frac{10}{8 + 4\frac{2}{5}} + 9=\textcolor{white}{9\frac{25}{31}}$$return {
["body"] = 23,
["id"] = "sDECwe_0511_1848",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 9.8064516129032,
["objekt"] = {
["hodnota"] = {
["citatel"] = 304,
["jmenovatel"] = 31 },
["render"] = "\\frac{304}{31}",
["typ"] = "cislo" },
["tex"] = "9\\frac{25}{31}",
["x"] = 9,
["y"] = 25,
["z"] = 31 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "\\frac{10}{8 + 4\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{8 + 4\\frac{2}{5}} + 9",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.09, bodu=12, $$9 + \frac{-7 - 7}{8}=\textcolor{white}{7{,}25}$$return {
["body"] = 12,
["id"] = "ekrkNG_0511_1848",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 7.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 4 },
["render"] = "\\frac{29}{4}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{4}",
["tex_float"] = "7{,}25",
["x"] = 7,
["y"] = 1,
["z"] = 4 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-7 - 7}{8}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{-7 - 7}{8}",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.1, bodu=13, $$\frac{11}{4 - (\frac{9}{6})^3}=\textcolor{white}{17{,}6}$$return {
["body"] = 13,
["id"] = "oPtoU6_0511_1848",
["obtiznost"] = 0.114,
["reseni"] = {
["float"] = 17.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 5 },
["render"] = "\\frac{88}{5}",
["typ"] = "cislo" },
["tex"] = "17\\frac{3}{5}",
["tex_float"] = "17{,}6",
["x"] = 17,
["y"] = 3,
["z"] = 5 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{6})^3",
["typ"] = "mocnina" },
["render"] = "4 - (\\frac{9}{6})^3",
["typ"] = "minus" },
["render"] = "\\frac{11}{4 - (\\frac{9}{6})^3}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.11, bodu=6, $$7 - 11 \cdot 5 + 4=\textcolor{white}{-44}$$return {
["body"] = 6,
["id"] = "LT4ePh_0511_1848",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -44,
["jmenovatel"] = 1 },
["render"] = "\\frac{-44}{1}",
["typ"] = "cislo" },
["tex"] = "-44",
["tex_float"] = "-44",
["x"] = -44 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["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 \\cdot 5",
["typ"] = "krat" },
["render"] = "7 - 11 \\cdot 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 11 \\cdot 5 + 4",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.12, bodu=15, $$3 - (\frac{-8}{7 - 6})^2=\textcolor{white}{-61}$$return {
["body"] = 15,
["id"] = "LUih51_0511_1848",
["obtiznost"] = 0.146,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -61,
["jmenovatel"] = 1 },
["render"] = "\\frac{-61}{1}",
["typ"] = "cislo" },
["tex"] = "-61",
["tex_float"] = "-61",
["x"] = -61 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 - 6",
["typ"] = "minus" },
["render"] = "\\frac{-8}{7 - 6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8}{7 - 6})^2",
["typ"] = "mocnina" },
["render"] = "3 - (\\frac{-8}{7 - 6})^2",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.13, bodu=14, $$7 + \frac{6}{-9} + 8=\textcolor{white}{14\frac{1}{3}}$$return {
["body"] = 14,
["id"] = "iAUdOO_0511_1848",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 14.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 3 },
["render"] = "\\frac{43}{3}",
["typ"] = "cislo" },
["tex"] = "14\\frac{1}{3}",
["x"] = 14,
["y"] = 1,
["z"] = 3 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-9} + 8",
["typ"] = "plus" },
["render"] = "7 + \\frac{6}{-9} + 8",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.14, bodu=45, $$\frac{\frac{4\frac{2}{5}}{9 + 3\frac{3}{4}}}{9}=\textcolor{white}{\frac{88}{2295}}$$return {
["body"] = 45,
["id"] = "fJnJ3u_0511_1848",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 0.038344226579521,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 2295 },
["render"] = "\\frac{88}{2295}",
["typ"] = "cislo" },
["tex"] = "\\frac{88}{2295}",
["y"] = 88,
["z"] = 2295 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "9 + 3\\frac{3}{4}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{2}{5}}{9 + 3\\frac{3}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{5}}{9 + 3\\frac{3}{4}}}{9}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.15, bodu=28, $$(6 \cdot 2\frac{2}{4} + 5) \cdot 9=\textcolor{white}{180}$$return {
["body"] = 28,
["id"] = "dI2DjI_0511_1848",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 180,
["jmenovatel"] = 1 },
["render"] = "\\frac{180}{1}",
["typ"] = "cislo" },
["tex"] = "180",
["tex_float"] = "180",
["x"] = 180 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 2\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 2\\frac{2}{4} + 5",
["typ"] = "plus" },
["render"] = "(6 \\cdot 2\\frac{2}{4} + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(6 \\cdot 2\\frac{2}{4} + 5) \\cdot 9",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.16, bodu=33, $$\frac{(7 + 10 + 8)^2}{6}=\textcolor{white}{104\frac{1}{6}}$$return {
["body"] = 33,
["id"] = "Tf6ksc_0511_1848",
["obtiznost"] = 0.4104,
["reseni"] = {
["float"] = 104.16666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 6 },
["render"] = "\\frac{625}{6}",
["typ"] = "cislo" },
["tex"] = "104\\frac{1}{6}",
["x"] = 104,
["y"] = 1,
["z"] = 6 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.16",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 10 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 10 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(7 + 10 + 8)^2}{6}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.17, bodu=8, $$-10 + 12 - 7 \cdot -6=\textcolor{white}{44}$$return {
["body"] = 8,
["id"] = "QZ7B8j_0511_1848",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 1 },
["render"] = "\\frac{44}{1}",
["typ"] = "cislo" },
["tex"] = "44",
["x"] = 44 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "7 \\cdot -6",
["typ"] = "krat" },
["render"] = "12 - 7 \\cdot -6",
["typ"] = "minus" },
["render"] = "-10 + 12 - 7 \\cdot -6",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.18, bodu=23, $$\frac{-8}{\frac{-6}{(10 - 6)^4}}=\textcolor{white}{341\frac{1}{3}}$$return {
["body"] = 23,
["id"] = "X3m8Ex_0511_1848",
["obtiznost"] = 0.2828,
["reseni"] = {
["float"] = 341.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1024,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1024}{-3}",
["typ"] = "cislo" },
["tex"] = "341\\frac{1}{3}",
["x"] = 341,
["y"] = 1,
["z"] = 3 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 - 6",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(10 - 6)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-6}{(10 - 6)^4}",
["typ"] = "lomeno" },
["render"] = "\\frac{-8}{\\frac{-6}{(10 - 6)^4}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.19, bodu=17, $$\frac{\frac{8}{3}}{9}=\textcolor{white}{\frac{8}{27}}$$return {
["body"] = 17,
["id"] = "jBX0O8_0511_1848",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = 0.2962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 27 },
["render"] = "\\frac{8}{27}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{27}",
["y"] = 8,
["z"] = 27 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{3}}{9}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.2, bodu=9, $$12 \cdot (7 + 12 - 12) \cdot 6=\textcolor{white}{504}$$return {
["body"] = 9,
["id"] = "tMMiMV_0511_1848",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 504,
["jmenovatel"] = 1 },
["render"] = "\\frac{504}{1}",
["typ"] = "cislo" },
["tex"] = "504",
["x"] = 504 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + 12 - 12",
["typ"] = "minus" },
["render"] = "(7 + 12 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(7 + 12 - 12) \\cdot 6",
["typ"] = "krat" },
["render"] = "12 \\cdot (7 + 12 - 12) \\cdot 6",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.21, bodu=18, $$\frac{4 - (-8 - (-11))}{6 + 9}=\textcolor{white}{\frac{1}{15}}$$return {
["body"] = 18,
["id"] = "GTcjo8_0511_1848",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = 0.066666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 15 },
["render"] = "\\frac{1}{15}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{15}",
["y"] = 1,
["z"] = 15 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["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"] = "minus" },
["render"] = "(-8 - (-11))",
["typ"] = "zavorka" },
["render"] = "4 - (-8 - (-11))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9",
["typ"] = "plus" },
["render"] = "\\frac{4 - (-8 - (-11))}{6 + 9}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.22, bodu=19, $$10 \cdot 4 \cdot \frac{10}{11}=\textcolor{white}{36\frac{4}{11}}$$return {
["body"] = 19,
["id"] = "Hf3dat_0511_1848",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 36.363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 400,
["jmenovatel"] = 11 },
["render"] = "\\frac{400}{11}",
["typ"] = "cislo" },
["tex"] = "36\\frac{4}{11}",
["x"] = 36,
["y"] = 4,
["z"] = 11 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{10}{11}",
["typ"] = "lomeno" },
["render"] = "4 \\cdot \\frac{10}{11}",
["typ"] = "krat" },
["render"] = "10 \\cdot 4 \\cdot \\frac{10}{11}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.23, bodu=19, $$6 - \frac{\frac{11}{12}}{-6}=\textcolor{white}{6\frac{11}{72}}$$return {
["body"] = 19,
["id"] = "hzgYPH_0511_1848",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = 6.1527777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 443,
["jmenovatel"] = 72 },
["render"] = "\\frac{443}{72}",
["typ"] = "cislo" },
["tex"] = "6\\frac{11}{72}",
["x"] = 6,
["y"] = 11,
["z"] = 72 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{12}}{-6}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{\\frac{11}{12}}{-6}",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.24, bodu=36, $$\frac{6}{4 - 4\frac{4}{8} \cdot 4}=\textcolor{white}{-\frac{3}{7}}$$return {
["body"] = 36,
["id"] = "r1QfYl_0511_1848",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -0.42857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 7 },
["render"] = "\\frac{6}{-14}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{7}",
["y"] = -3,
["z"] = 7 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 4",
["typ"] = "krat" },
["render"] = "4 - 4\\frac{4}{8} \\cdot 4",
["typ"] = "minus" },
["render"] = "\\frac{6}{4 - 4\\frac{4}{8} \\cdot 4}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.25, bodu=57, $$(6 + 1\frac{2}{6}) \cdot \frac{9}{8 + 3\frac{1}{6}}=\textcolor{white}{5\frac{61}{67}}$$return {
["body"] = 57,
["id"] = "q4qNBG_0511_1848",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 5.910447761194,
["objekt"] = {
["hodnota"] = {
["citatel"] = 396,
["jmenovatel"] = 67 },
["render"] = "\\frac{1188}{201}",
["typ"] = "cislo" },
["tex"] = "5\\frac{61}{67}",
["x"] = 5,
["y"] = 61,
["z"] = 67 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "6 + 1\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(6 + 1\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "8 + 3\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "\\frac{9}{8 + 3\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "(6 + 1\\frac{2}{6}) \\cdot \\frac{9}{8 + 3\\frac{1}{6}}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.26, bodu=21, $$-7 - (\frac{10}{9} + (-10 + (-4)))=\textcolor{white}{5\frac{8}{9}}$$return {
["body"] = 21,
["id"] = "CKL7nr_0511_1848",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 5.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 9 },
["render"] = "\\frac{53}{9}",
["typ"] = "cislo" },
["tex"] = "5\\frac{8}{9}",
["x"] = 5,
["y"] = 8,
["z"] = 9 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-10 + (-4)",
["typ"] = "plus" },
["render"] = "\\frac{10}{9} + (-10 + (-4))",
["typ"] = "plus" },
["render"] = "(\\frac{10}{9} + (-10 + (-4)))",
["typ"] = "zavorka" },
["render"] = "-7 - (\\frac{10}{9} + (-10 + (-4)))",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.27, bodu=22, $$\frac{14 \cdot 9}{8 - 6}=\textcolor{white}{63}$$return {
["body"] = 22,
["id"] = "E1kIVN_0511_1848",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 1 },
["render"] = "\\frac{126}{2}",
["typ"] = "cislo" },
["tex"] = "63",
["x"] = 63 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 - 6",
["typ"] = "minus" },
["render"] = "\\frac{14 \\cdot 9}{8 - 6}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.28, bodu=23, $$9 - \frac{\frac{8}{7}}{-8}=\textcolor{white}{9\frac{1}{7}}$$return {
["body"] = 23,
["id"] = "XgGmKM_0511_1848",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 9.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 7 },
["render"] = "\\frac{64}{7}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{7}",
["x"] = 9,
["y"] = 1,
["z"] = 7 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{7}}{-8}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{\\frac{8}{7}}{-8}",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.29, bodu=49, $$(7 \cdot \frac{5}{7} + 4)^3=\textcolor{white}{729}$$return {
["body"] = 49,
["id"] = "NH4XE1_0511_1848",
["obtiznost"] = 0.582,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 1 },
["render"] = "\\frac{729}{1}",
["typ"] = "cislo" },
["tex"] = "729",
["x"] = 729 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.29",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 \\cdot \\frac{5}{7} + 4",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(7 \\cdot \\frac{5}{7} + 4)^3",
["typ"] = "mocnina" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.3, bodu=76, $$(7 \cdot 1\frac{2}{6})^2 \cdot 9 - 9=\textcolor{white}{775}$$return {
["body"] = 76,
["id"] = "moizAu_0511_1848",
["obtiznost"] = 0.8172,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 775,
["jmenovatel"] = 1 },
["render"] = "\\frac{775}{1}",
["typ"] = "cislo" },
["tex"] = "775",
["tex_float"] = "775",
["x"] = 775 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(7 \\cdot 1\\frac{2}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(7 \\cdot 1\\frac{2}{6})^2 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(7 \\cdot 1\\frac{2}{6})^2 \\cdot 9 - 9",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.31, bodu=12, $$-8 \cdot 8 \cdot (3 - (-6) + 7)=\textcolor{white}{-1024}$$return {
["body"] = 12,
["id"] = "zMXIIN_0511_1848",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1024,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1024}{1}",
["typ"] = "cislo" },
["tex"] = "-1024",
["tex_float"] = "-1024",
["x"] = -1024 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 - (-6) + 7",
["typ"] = "plus" },
["render"] = "(3 - (-6) + 7)",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot 8 \\cdot (3 - (-6) + 7)",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.32, bodu=26, $$\frac{11 - (5 + (-6))^3}{9 + 13}=\textcolor{white}{\frac{6}{11}}$$return {
["body"] = 26,
["id"] = "6doolp_0511_1848",
["obtiznost"] = 0.3208,
["reseni"] = {
["float"] = 0.54545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 11 },
["render"] = "\\frac{12}{22}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{11}",
["y"] = 6,
["z"] = 11 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "5 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(5 + (-6))^3",
["typ"] = "mocnina" },
["render"] = "11 - (5 + (-6))^3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 + 13",
["typ"] = "plus" },
["render"] = "\\frac{11 - (5 + (-6))^3}{9 + 13}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.33, bodu=27, $$8 \cdot \frac{-10 \cdot 9}{-5}=\textcolor{white}{144}$$return {
["body"] = 27,
["id"] = "eLtLnY_0511_1848",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 1 },
["render"] = "\\frac{144}{1}",
["typ"] = "cislo" },
["tex"] = "144",
["tex_float"] = "144",
["x"] = 144 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot 9}{-5}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{-10 \\cdot 9}{-5}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.34, bodu=31, $$-9 \cdot (12 - 9 + (\frac{15}{3})^3)=\textcolor{white}{-1152}$$return {
["body"] = 31,
["id"] = "dXDoIG_0511_1848",
["obtiznost"] = 0.3904,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1152,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1152}{1}",
["typ"] = "cislo" },
["tex"] = "-1152",
["x"] = -1152 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 - 9",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{15}{3})^3",
["typ"] = "mocnina" },
["render"] = "12 - 9 + (\\frac{15}{3})^3",
["typ"] = "plus" },
["render"] = "(12 - 9 + (\\frac{15}{3})^3)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (12 - 9 + (\\frac{15}{3})^3)",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.35, bodu=46, $$\frac{12 \cdot -13}{9 - 1\frac{5}{8}}=\textcolor{white}{-21\frac{9}{59}}$$return {
["body"] = 46,
["id"] = "s9mwaO_0511_1848",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = -21.152542372881,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1248,
["jmenovatel"] = 59 },
["render"] = "\\frac{-1248}{59}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{9}{59}",
["x"] = -21,
["y"] = 9,
["z"] = 59 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "12 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "\\frac{12 \\cdot -13}{9 - 1\\frac{5}{8}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.36, bodu=29, $$\frac{\frac{-11}{13 + 7} + 5}{-9}=\textcolor{white}{-\frac{89}{180}}$$return {
["body"] = 29,
["id"] = "QvVcIf_0511_1848",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = -0.49444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -89,
["jmenovatel"] = 180 },
["render"] = "\\frac{89}{-180}",
["typ"] = "cislo" },
["tex"] = "-\\frac{89}{180}",
["y"] = -89,
["z"] = 180 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "13 + 7",
["typ"] = "plus" },
["render"] = "\\frac{-11}{13 + 7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{13 + 7} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11}{13 + 7} + 5}{-9}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.37, bodu=30, $$\frac{11 + 8 + 6}{8 \cdot 8}=\textcolor{white}{\frac{25}{64}}$$return {
["body"] = 30,
["id"] = "j2HOX5_0511_1848",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 0.390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 64 },
["render"] = "\\frac{25}{64}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{64}",
["y"] = 25,
["z"] = 64 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 + 6",
["typ"] = "plus" },
["render"] = "11 + 8 + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{11 + 8 + 6}{8 \\cdot 8}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.38, bodu=31, $$7 \cdot \frac{9}{5} \cdot 9=\textcolor{white}{113{,}4}$$return {
["body"] = 31,
["id"] = "CxnXxA_0511_1848",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 113.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 567,
["jmenovatel"] = 5 },
["render"] = "\\frac{567}{5}",
["typ"] = "cislo" },
["tex"] = "113\\frac{2}{5}",
["tex_float"] = "113{,}4",
["x"] = 113,
["y"] = 2,
["z"] = 5 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{5}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{9}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot \\frac{9}{5} \\cdot 9",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.39, bodu=31, $$-10 \cdot 4 - \frac{-14}{-11}=\textcolor{white}{-41\frac{3}{11}}$$return {
["body"] = 31,
["id"] = "vgn5nW_0511_1848",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -41.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -454,
["jmenovatel"] = 11 },
["render"] = "\\frac{-454}{11}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{3}{11}",
["x"] = -41,
["y"] = 3,
["z"] = 11 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-11}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot 4 - \\frac{-14}{-11}",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.4, bodu=51, $$\frac{9}{3\frac{1}{2}} \cdot -8 \cdot -12=\textcolor{white}{246\frac{6}{7}}$$return {
["body"] = 51,
["id"] = "Fb74Xu_0511_1848",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 246.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1728,
["jmenovatel"] = 7 },
["render"] = "\\frac{1728}{7}",
["typ"] = "cislo" },
["tex"] = "246\\frac{6}{7}",
["x"] = 246,
["y"] = 6,
["z"] = 7 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3\\frac{1}{2}}",
["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{9}{3\\frac{1}{2}} \\cdot -8 \\cdot -12",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.41, bodu=52, $$\frac{2\frac{1}{7} - (-7)}{-5 \cdot 9 + 11}=\textcolor{white}{-\frac{32}{119}}$$return {
["body"] = 52,
["id"] = "G0kevD_0511_1848",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -0.26890756302521,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 119 },
["render"] = "\\frac{64}{-238}",
["typ"] = "cislo" },
["tex"] = "-\\frac{32}{119}",
["y"] = -32,
["z"] = 119 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} - (-7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 9 + 11",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{7} - (-7)}{-5 \\cdot 9 + 11}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.42, bodu=102, $$3\frac{3}{9} \cdot 2\frac{4}{6} - (3\frac{1}{6} - (12 + 10))=\textcolor{white}{27\frac{13}{18}}$$return {
["body"] = 102,
["id"] = "MWHLFJ_0511_1848",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = 27.722222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 499,
["jmenovatel"] = 18 },
["render"] = "\\frac{1497}{54}",
["typ"] = "cislo" },
["tex"] = "27\\frac{13}{18}",
["x"] = 27,
["y"] = 13,
["z"] = 18 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot 2\\frac{4}{6}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "12 + 10",
["typ"] = "plus" },
["render"] = "(12 + 10)",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{6} - (12 + 10)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{6} - (12 + 10))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{9} \\cdot 2\\frac{4}{6} - (3\\frac{1}{6} - (12 + 10))",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.43, bodu=78, $$3\frac{2}{7} \cdot \frac{-4}{1\frac{5}{8}} \cdot -8=\textcolor{white}{64\frac{64}{91}}$$return {
["body"] = 78,
["id"] = "ss3iv7_0511_1848",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 64.703296703297,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5888,
["jmenovatel"] = 91 },
["render"] = "\\frac{5888}{91}",
["typ"] = "cislo" },
["tex"] = "64\\frac{64}{91}",
["x"] = 64,
["y"] = 64,
["z"] = 91 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{1\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{7} \\cdot \\frac{-4}{1\\frac{5}{8}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot \\frac{-4}{1\\frac{5}{8}} \\cdot -8",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.44, bodu=45, $$13 \cdot (12 - (-12)) + (\frac{13}{-8})^2=\textcolor{white}{314\frac{41}{64}}$$return {
["body"] = 45,
["id"] = "nQ8Tiv_0511_1848",
["obtiznost"] = 0.5332,
["reseni"] = {
["float"] = 314.640625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20137,
["jmenovatel"] = 64 },
["render"] = "\\frac{20137}{64}",
["typ"] = "cislo" },
["tex"] = "314\\frac{41}{64}",
["x"] = 314,
["y"] = 41,
["z"] = 64 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 - (-12)",
["typ"] = "minus" },
["render"] = "(12 - (-12))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (12 - (-12))",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{13}{-8})^2",
["typ"] = "mocnina" },
["render"] = "13 \\cdot (12 - (-12)) + (\\frac{13}{-8})^2",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.45, bodu=37, $$(-12 + (-12) + (-10 - 6)) \cdot \frac{-8}{-8}=\textcolor{white}{-40}$$return {
["body"] = 37,
["id"] = "2GnFjt_0511_1848",
["obtiznost"] = 0.45,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 1 },
["render"] = "\\frac{-40}{1}",
["typ"] = "cislo" },
["tex"] = "-40",
["x"] = -40 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.45",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 - 6",
["typ"] = "minus" },
["render"] = "-12 + (-12) + (-10 - 6)",
["typ"] = "plus" },
["render"] = "(-12 + (-12) + (-10 - 6))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-8}",
["typ"] = "lomeno" },
["render"] = "(-12 + (-12) + (-10 - 6)) \\cdot \\frac{-8}{-8}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.46, bodu=38, $$\frac{11}{\frac{-10}{9 \cdot (12 + (-7))}}=\textcolor{white}{-49{,}5}$$return {
["body"] = 38,
["id"] = "xwRr0t_0511_1848",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -49.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 2 },
["render"] = "\\frac{99}{-2}",
["typ"] = "cislo" },
["tex"] = "-49\\frac{1}{2}",
["tex_float"] = "-49{,}5",
["x"] = -49,
["y"] = 1,
["z"] = 2 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "12 + (-7)",
["typ"] = "plus" },
["render"] = "(12 + (-7))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (12 + (-7))",
["typ"] = "krat" },
["render"] = "\\frac{-10}{9 \\cdot (12 + (-7))}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{-10}{9 \\cdot (12 + (-7))}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.47, bodu=59, $$\frac{\frac{9}{3\frac{4}{12}} - 14}{\frac{9}{9}}=\textcolor{white}{-11{,}3}$$return {
["body"] = 59,
["id"] = "vdB1s5_0511_1848",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -11.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -113,
["jmenovatel"] = 10 },
["render"] = "\\frac{-113}{10}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{3}{10}",
["tex_float"] = "-11{,}3",
["x"] = -11,
["y"] = 3,
["z"] = 10 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3\\frac{4}{12}} - 14",
["typ"] = "minus" },
["c2"] = {
["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" },
["render"] = "\\frac{\\frac{9}{3\\frac{4}{12}} - 14}{\\frac{9}{9}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.48, bodu=84, $$-5 + 10 - 5 - (1\frac{2}{9} - 3\frac{3}{10} + 8)=\textcolor{white}{-5\frac{83}{90}}$$return {
["body"] = 84,
["id"] = "ho6Yfg_0511_1848",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -5.9222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -533,
["jmenovatel"] = 90 },
["render"] = "\\frac{-533}{90}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{83}{90}",
["x"] = -5,
["y"] = 83,
["z"] = 90 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-5 + 10 - 5",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} - 3\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} - 3\\frac{3}{10} + 8",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{9} - 3\\frac{3}{10} + 8)",
["typ"] = "zavorka" },
["render"] = "-5 + 10 - 5 - (1\\frac{2}{9} - 3\\frac{3}{10} + 8)",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.49, bodu=61, $$\frac{5 + 14 + (-4)}{-13 + 12 + 1\frac{1}{7}}=\textcolor{white}{105}$$return {
["body"] = 61,
["id"] = "XadhgT_0511_1848",
["obtiznost"] = 0.69,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 105,
["jmenovatel"] = 1 },
["render"] = "\\frac{105}{1}",
["typ"] = "cislo" },
["tex"] = "105",
["x"] = 105 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "14 + (-4)",
["typ"] = "plus" },
["render"] = "5 + 14 + (-4)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "12 + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "-13 + 12 + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{5 + 14 + (-4)}{-13 + 12 + 1\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.5, bodu=20, $$-6 \cdot 10 \cdot (-6 - (12 - 4))=\textcolor{white}{840}$$return {
["body"] = 20,
["id"] = "trjBxF_0511_1848",
["obtiznost"] = 0.5,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 840,
["jmenovatel"] = 1 },
["render"] = "\\frac{840}{1}",
["typ"] = "cislo" },
["tex"] = "840",
["x"] = 840 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 - 4",
["typ"] = "minus" },
["render"] = "(12 - 4)",
["typ"] = "zavorka" },
["render"] = "-6 - (12 - 4)",
["typ"] = "minus" },
["render"] = "(-6 - (12 - 4))",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot 10 \\cdot (-6 - (12 - 4))",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.51, bodu=115, $$\frac{-8}{1\frac{5}{6}} + 1\frac{4}{9} - 3\frac{3}{9} \cdot -8=\textcolor{white}{23\frac{74}{99}}$$return {
["body"] = 115,
["id"] = "i76CcX_0511_1848",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 23.747474747475,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2351,
["jmenovatel"] = 99 },
["render"] = "\\frac{2351}{99}",
["typ"] = "cislo" },
["tex"] = "23\\frac{74}{99}",
["x"] = 23,
["y"] = 74,
["z"] = 99 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{1\\frac{5}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} \\cdot -8",
["typ"] = "krat" },
["render"] = "1\\frac{4}{9} - 3\\frac{3}{9} \\cdot -8",
["typ"] = "minus" },
["render"] = "\\frac{-8}{1\\frac{5}{6}} + 1\\frac{4}{9} - 3\\frac{3}{9} \\cdot -8",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.52, bodu=65, $$\frac{12}{11 + ((12 + (-12))^2 \cdot (7 + 4\frac{1}{5}))^2}=\textcolor{white}{1\frac{1}{11}}$$return {
["body"] = 65,
["id"] = "LViIXR_0511_1848",
["obtiznost"] = 0.7208,
["reseni"] = {
["float"] = 1.0909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "\\frac{12}{11}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{11}",
["x"] = 1,
["y"] = 1,
["z"] = 11 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + (-12))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(7 + 4\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "(12 + (-12))^2 \\cdot (7 + 4\\frac{1}{5})",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((12 + (-12))^2 \\cdot (7 + 4\\frac{1}{5}))^2",
["typ"] = "mocnina" },
["render"] = "11 + ((12 + (-12))^2 \\cdot (7 + 4\\frac{1}{5}))^2",
["typ"] = "plus" },
["render"] = "\\frac{12}{11 + ((12 + (-12))^2 \\cdot (7 + 4\\frac{1}{5}))^2}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.53, bodu=66, $$\frac{\frac{4\frac{5}{10}}{(11 - 10)^3}}{9 \cdot -3}=\textcolor{white}{-\frac{1}{6}}$$return {
["body"] = 66,
["id"] = "iurd51_0511_1848",
["obtiznost"] = 0.7308,
["reseni"] = {
["float"] = -0.16666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 6 },
["render"] = "\\frac{9}{-54}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{6}",
["y"] = -1,
["z"] = 6 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(11 - 10)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{5}{10}}{(11 - 10)^3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "9 \\cdot -3",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{4\\frac{5}{10}}{(11 - 10)^3}}{9 \\cdot -3}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.54, bodu=92, $$\frac{8 \cdot 4\frac{3}{8}}{2\frac{4}{6} - 14 - 9}=\textcolor{white}{-1\frac{44}{61}}$$return {
["body"] = 92,
["id"] = "1db62X_0511_1848",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -1.7213114754098,
["objekt"] = {
["hodnota"] = {
["citatel"] = -105,
["jmenovatel"] = 61 },
["render"] = "\\frac{105}{-61}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{44}{61}",
["x"] = -1,
["y"] = 44,
["z"] = 61 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} - 14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} - 14 - 9",
["typ"] = "minus" },
["render"] = "\\frac{8 \\cdot 4\\frac{3}{8}}{2\\frac{4}{6} - 14 - 9}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.55, bodu=93, $$\frac{4\frac{4}{5}}{1\frac{5}{10}} - (-9 - (-11 - 15))=\textcolor{white}{-13{,}8}$$return {
["body"] = 93,
["id"] = "8yanqs_0511_1848",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -13.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -69,
["jmenovatel"] = 5 },
["render"] = "\\frac{-69}{5}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{4}{5}",
["tex_float"] = "-13{,}8",
["x"] = -13,
["y"] = 4,
["z"] = 5 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{5}}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 - 15",
["typ"] = "minus" },
["render"] = "(-11 - 15)",
["typ"] = "zavorka" },
["render"] = "-9 - (-11 - 15)",
["typ"] = "minus" },
["render"] = "(-9 - (-11 - 15))",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{4}{5}}{1\\frac{5}{10}} - (-9 - (-11 - 15))",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.56, bodu=69, $$14 \cdot \frac{\frac{-6}{3\frac{5}{12}}}{13}=\textcolor{white}{-1\frac{475}{533}}$$return {
["body"] = 69,
["id"] = "7BIWFC_0511_1848",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = -1.891181988743,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1008,
["jmenovatel"] = 533 },
["render"] = "\\frac{-1008}{533}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{475}{533}",
["x"] = -1,
["y"] = 475,
["z"] = 533 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{3\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-6}{3\\frac{5}{12}}}{13}",
["typ"] = "lomeno" },
["render"] = "14 \\cdot \\frac{\\frac{-6}{3\\frac{5}{12}}}{13}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.57, bodu=123, $$4\frac{2}{8} - (-12 - 3\frac{3}{10}) \cdot (4\frac{3}{8} - 12)=\textcolor{white}{-112\frac{33}{80}}$$return {
["body"] = 123,
["id"] = "WQATak_0511_1848",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -112.4125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8993,
["jmenovatel"] = 80 },
["render"] = "\\frac{-35972}{320}",
["typ"] = "cislo" },
["tex"] = "-112\\frac{33}{80}",
["x"] = -112,
["y"] = 33,
["z"] = 80 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(-12 - 3\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} - 12",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{8} - 12)",
["typ"] = "zavorka" },
["render"] = "(-12 - 3\\frac{3}{10}) \\cdot (4\\frac{3}{8} - 12)",
["typ"] = "krat" },
["render"] = "4\\frac{2}{8} - (-12 - 3\\frac{3}{10}) \\cdot (4\\frac{3}{8} - 12)",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.58, bodu=95, $$\frac{14 - (-12 - 19)^2}{-13 \cdot 11}=\textcolor{white}{6\frac{89}{143}}$$return {
["body"] = 95,
["id"] = "A4HtI7_0511_1848",
["obtiznost"] = 0.9648,
["reseni"] = {
["float"] = 6.6223776223776,
["objekt"] = {
["hodnota"] = {
["citatel"] = 947,
["jmenovatel"] = 143 },
["render"] = "\\frac{-947}{-143}",
["typ"] = "cislo" },
["tex"] = "6\\frac{89}{143}",
["x"] = 6,
["y"] = 89,
["z"] = 143 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-12 - 19",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - 19)^2",
["typ"] = "mocnina" },
["render"] = "14 - (-12 - 19)^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{14 - (-12 - 19)^2}{-13 \\cdot 11}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.59, bodu=73, $$-10 \cdot \frac{9 \cdot 9}{2\frac{1}{4}}=\textcolor{white}{-360}$$return {
["body"] = 73,
["id"] = "BmZkwt_0511_1848",
["obtiznost"] = 0.79,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -360,
["jmenovatel"] = 1 },
["render"] = "\\frac{-360}{1}",
["typ"] = "cislo" },
["tex"] = "-360",
["tex_float"] = "-360",
["x"] = -360 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 9}{2\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{9 \\cdot 9}{2\\frac{1}{4}}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.6, bodu=76, $$\frac{11 - 1\frac{3}{8}}{\frac{(\frac{-4}{-14})^2}{10}}=\textcolor{white}{1179\frac{1}{16}}$$return {
["body"] = 76,
["id"] = "o7cgmV_0511_1848",
["obtiznost"] = 0.8212,
["reseni"] = {
["float"] = 1179.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18865,
["jmenovatel"] = 16 },
["render"] = "\\frac{18865}{16}",
["typ"] = "cislo" },
["tex"] = "1179\\frac{1}{16}",
["x"] = 1179,
["y"] = 1,
["z"] = 16 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-4}{-14})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-4}{-14})^2}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{11 - 1\\frac{3}{8}}{\\frac{(\\frac{-4}{-14})^2}{10}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.61, bodu=140, $$\frac{(16 + 10)^2 + (-9)}{-7 + 3\frac{5}{11} \cdot 2\frac{5}{11}}=\textcolor{white}{450\frac{157}{179}}$$return {
["body"] = 140,
["id"] = "15eL36_0511_1848",
["obtiznost"] = 1.2808,
["reseni"] = {
["float"] = 450.87709497207,
["objekt"] = {
["hodnota"] = {
["citatel"] = 80707,
["jmenovatel"] = 179 },
["render"] = "\\frac{80707}{179}",
["typ"] = "cislo" },
["tex"] = "450\\frac{157}{179}",
["x"] = 450,
["y"] = 157,
["z"] = 179 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "16 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(16 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(16 + 10)^2 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot 2\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "-7 + 3\\frac{5}{11} \\cdot 2\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{(16 + 10)^2 + (-9)}{-7 + 3\\frac{5}{11} \\cdot 2\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.62, bodu=81, $$\frac{(\frac{3\frac{3}{6}}{(9 + (-9))^3 + 3})^2}{\frac{-11}{11} + 4}=\textcolor{white}{\frac{49}{108}}$$return {
["body"] = 81,
["id"] = "1mky9G_0511_1848",
["obtiznost"] = 0.8544,
["reseni"] = {
["float"] = 0.4537037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 108 },
["render"] = "\\frac{49}{108}",
["typ"] = "cislo" },
["tex"] = "\\frac{49}{108}",
["y"] = 49,
["z"] = 108 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.62",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(9 + (-9))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(9 + (-9))^3 + 3",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{3}{6}}{(9 + (-9))^3 + 3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{3}{6}}{(9 + (-9))^3 + 3})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{11} + 4",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{3\\frac{3}{6}}{(9 + (-9))^3 + 3})^2}{\\frac{-11}{11} + 4}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.63, bodu=116, $$6 + 3\frac{5}{9} - (-7 - (1\frac{1}{5} + (-11 - (-17))^3 - (-4)))=\textcolor{white}{237\frac{34}{45}}$$return {
["body"] = 116,
["id"] = "Xb9KlB_0511_1848",
["obtiznost"] = 1.1168,
["reseni"] = {
["float"] = 237.75555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10699,
["jmenovatel"] = 45 },
["render"] = "\\frac{10699}{45}",
["typ"] = "cislo" },
["tex"] = "237\\frac{34}{45}",
["x"] = 237,
["y"] = 34,
["z"] = 45 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "6 + 3\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-11 - (-17))^3",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{5} + (-11 - (-17))^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} + (-11 - (-17))^3 - (-4)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{5} + (-11 - (-17))^3 - (-4))",
["typ"] = "zavorka" },
["render"] = "-7 - (1\\frac{1}{5} + (-11 - (-17))^3 - (-4))",
["typ"] = "minus" },
["render"] = "(-7 - (1\\frac{1}{5} + (-11 - (-17))^3 - (-4)))",
["typ"] = "zavorka" },
["render"] = "6 + 3\\frac{5}{9} - (-7 - (1\\frac{1}{5} + (-11 - (-17))^3 - (-4)))",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.64, bodu=79, $$(-10 + 2\frac{4}{7}) \cdot (-5 \cdot (14 + 12) + 19 - (-8))=\textcolor{white}{765\frac{1}{7}}$$return {
["body"] = 79,
["id"] = "Nbnrgk_0511_1848",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 765.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5356,
["jmenovatel"] = 7 },
["render"] = "\\frac{5356}{7}",
["typ"] = "cislo" },
["tex"] = "765\\frac{1}{7}",
["x"] = 765,
["y"] = 1,
["z"] = 7 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.64",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-10 + 2\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(-10 + 2\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 + 12",
["typ"] = "plus" },
["render"] = "(14 + 12)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (14 + 12)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "19 - (-8)",
["typ"] = "minus" },
["render"] = "-5 \\cdot (14 + 12) + 19 - (-8)",
["typ"] = "plus" },
["render"] = "(-5 \\cdot (14 + 12) + 19 - (-8))",
["typ"] = "zavorka" },
["render"] = "(-10 + 2\\frac{4}{7}) \\cdot (-5 \\cdot (14 + 12) + 19 - (-8))",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.65, bodu=57, $$\frac{12}{11} \cdot (-9 - 6) - (-8)=\textcolor{white}{-8\frac{4}{11}}$$return {
["body"] = 57,
["id"] = "UkeTQn_0511_1848",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -8.3636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92,
["jmenovatel"] = 11 },
["render"] = "\\frac{-92}{11}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{4}{11}",
["x"] = -8,
["y"] = 4,
["z"] = 11 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 - 6",
["typ"] = "minus" },
["render"] = "(-9 - 6)",
["typ"] = "zavorka" },
["render"] = "\\frac{12}{11} \\cdot (-9 - 6)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{12}{11} \\cdot (-9 - 6) - (-8)",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.66, bodu=112, $$8 - \frac{\frac{1\frac{4}{7} + 10}{-6}}{(-16 - 8)^2}=\textcolor{white}{8\frac{3}{896}}$$return {
["body"] = 112,
["id"] = "OcSnov_0511_1848",
["obtiznost"] = 1.0908,
["reseni"] = {
["float"] = 8.0033482142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7171,
["jmenovatel"] = 896 },
["render"] = "\\frac{7171}{896}",
["typ"] = "cislo" },
["tex"] = "8\\frac{3}{896}",
["x"] = 8,
["y"] = 3,
["z"] = 896 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7} + 10}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-16 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-16 - 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{1\\frac{4}{7} + 10}{-6}}{(-16 - 8)^2}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{\\frac{1\\frac{4}{7} + 10}{-6}}{(-16 - 8)^2}",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.67, bodu=144, $$\frac{(12 + \frac{7}{3\frac{3}{11}} + (-13 + 3\frac{5}{12}) - 3\frac{2}{9})^3}{16}=\textcolor{white}{\frac{4}{27}}$$return {
["body"] = 144,
["id"] = "LdV0mD_0511_1848",
["obtiznost"] = 1.3064,
["reseni"] = {
["float"] = 0.14814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 27 },
["render"] = "\\frac{64}{432}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{27}",
["y"] = 4,
["z"] = 27 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.67",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{3\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-13 + 3\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "\\frac{7}{3\\frac{3}{11}} + (-13 + 3\\frac{5}{12})",
["typ"] = "plus" },
["render"] = "12 + \\frac{7}{3\\frac{3}{11}} + (-13 + 3\\frac{5}{12})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "12 + \\frac{7}{3\\frac{3}{11}} + (-13 + 3\\frac{5}{12}) - 3\\frac{2}{9}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(12 + \\frac{7}{3\\frac{3}{11}} + (-13 + 3\\frac{5}{12}) - 3\\frac{2}{9})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{(12 + \\frac{7}{3\\frac{3}{11}} + (-13 + 3\\frac{5}{12}) - 3\\frac{2}{9})^3}{16}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.68, bodu=140, $$1\frac{3}{8} - \frac{4\frac{5}{10}}{\frac{\frac{1\frac{3}{4}}{6}}{11}}=\textcolor{white}{-168\frac{19}{56}}$$return {
["body"] = 140,
["id"] = "PO2K0x_0511_1848",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -168.33928571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9427,
["jmenovatel"] = 56 },
["render"] = "\\frac{-9427}{56}",
["typ"] = "cislo" },
["tex"] = "-168\\frac{19}{56}",
["x"] = -168,
["y"] = 19,
["z"] = 56 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{4}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{4}}{6}}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{10}}{\\frac{\\frac{1\\frac{3}{4}}{6}}{11}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{8} - \\frac{4\\frac{5}{10}}{\\frac{\\frac{1\\frac{3}{4}}{6}}{11}}",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.69, bodu=157, $$20 - (\frac{1\frac{3}{9}}{\frac{3\frac{3}{12}}{4\frac{4}{12} \cdot 9}})^2=\textcolor{white}{-236}$$return {
["body"] = 157,
["id"] = "KSI5b2_0511_1848",
["obtiznost"] = 1.3928,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -236,
["jmenovatel"] = 1 },
["render"] = "\\frac{-236}{1}",
["typ"] = "cislo" },
["tex"] = "-236",
["tex_float"] = "-236",
["x"] = -236 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{12}}{4\\frac{4}{12} \\cdot 9}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{9}}{\\frac{3\\frac{3}{12}}{4\\frac{4}{12} \\cdot 9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{3}{9}}{\\frac{3\\frac{3}{12}}{4\\frac{4}{12} \\cdot 9}})^2",
["typ"] = "mocnina" },
["render"] = "20 - (\\frac{1\\frac{3}{9}}{\\frac{3\\frac{3}{12}}{4\\frac{4}{12} \\cdot 9}})^2",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.7, bodu=113, $$-7 \cdot 3 \cdot (3\frac{4}{11} - (9 - 1\frac{5}{10}))=\textcolor{white}{86\frac{19}{22}}$$return {
["body"] = 113,
["id"] = "xUK8wK_0511_1848",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 86.863636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1911,
["jmenovatel"] = 22 },
["render"] = "\\frac{1911}{22}",
["typ"] = "cislo" },
["tex"] = "86\\frac{19}{22}",
["x"] = 86,
["y"] = 19,
["z"] = 22 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "9 - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(9 - 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{11} - (9 - 1\\frac{5}{10})",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{11} - (9 - 1\\frac{5}{10}))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot 3 \\cdot (3\\frac{4}{11} - (9 - 1\\frac{5}{10}))",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.71, bodu=144, $$1\frac{2}{7} \cdot 10 \cdot (4\frac{2}{6} - \frac{3\frac{2}{8}}{-8})=\textcolor{white}{60\frac{15}{16}}$$return {
["body"] = 144,
["id"] = "UDk0Sw_0511_1848",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 60.9375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 975,
["jmenovatel"] = 16 },
["render"] = "\\frac{20475}{336}",
["typ"] = "cislo" },
["tex"] = "60\\frac{15}{16}",
["x"] = 60,
["y"] = 15,
["z"] = 16 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{-8}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{6} - \\frac{3\\frac{2}{8}}{-8}",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{6} - \\frac{3\\frac{2}{8}}{-8})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (4\\frac{2}{6} - \\frac{3\\frac{2}{8}}{-8})",
["typ"] = "krat" },
["render"] = "1\\frac{2}{7} \\cdot 10 \\cdot (4\\frac{2}{6} - \\frac{3\\frac{2}{8}}{-8})",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.72, bodu=116, $$\frac{-12 \cdot -15 + 3\frac{3}{6} + (-10)}{\frac{4\frac{2}{6}}{-10}}=\textcolor{white}{-400\frac{5}{13}}$$return {
["body"] = 116,
["id"] = "rCkbOI_0511_1848",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -400.38461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5205,
["jmenovatel"] = 13 },
["render"] = "\\frac{10410}{-26}",
["typ"] = "cislo" },
["tex"] = "-400\\frac{5}{13}",
["x"] = -400,
["y"] = 5,
["z"] = 13 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -15 + 3\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -15 + 3\\frac{3}{6} + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{-10}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12 \\cdot -15 + 3\\frac{3}{6} + (-10)}{\\frac{4\\frac{2}{6}}{-10}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.73, bodu=141, $$(-14 + (\frac{19}{-10 + 5})^2)^2 \cdot (-13 - (-17))^4=\textcolor{white}{49\frac{351}{625}}$$return {
["body"] = 141,
["id"] = "g3XDPs_0511_1848",
["obtiznost"] = 1.2856,
["reseni"] = {
["float"] = 49.5616,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30976,
["jmenovatel"] = 625 },
["render"] = "\\frac{30976}{625}",
["typ"] = "cislo" },
["tex"] = "49\\frac{351}{625}",
["x"] = 49,
["y"] = 351,
["z"] = 625 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.73",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-10 + 5",
["typ"] = "plus" },
["render"] = "\\frac{19}{-10 + 5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{19}{-10 + 5})^2",
["typ"] = "mocnina" },
["render"] = "-14 + (\\frac{19}{-10 + 5})^2",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + (\\frac{19}{-10 + 5})^2)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-13 - (-17)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-13 - (-17))^4",
["typ"] = "mocnina" },
["render"] = "(-14 + (\\frac{19}{-10 + 5})^2)^2 \\cdot (-13 - (-17))^4",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.74, bodu=149, $$1\frac{4}{10} \cdot -13 \cdot \frac{1\frac{5}{9}}{1\frac{1}{6} + (-13)}=\textcolor{white}{2\frac{418}{1065}}$$return {
["body"] = 149,
["id"] = "g2Qert_0511_1848",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 2.3924882629108,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2548,
["jmenovatel"] = 1065 },
["render"] = "\\frac{2548}{1065}",
["typ"] = "cislo" },
["tex"] = "2\\frac{418}{1065}",
["x"] = 2,
["y"] = 418,
["z"] = 1065 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{5}{9}}{1\\frac{1}{6} + (-13)}",
["typ"] = "lomeno" },
["render"] = "1\\frac{4}{10} \\cdot -13 \\cdot \\frac{1\\frac{5}{9}}{1\\frac{1}{6} + (-13)}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.75, bodu=120, $$(3\frac{4}{9} + \frac{-5}{1\frac{4}{9}}) \cdot \frac{7 + 6}{13}=\textcolor{white}{-\frac{2}{117}}$$return {
["body"] = 120,
["id"] = "fLandA_0511_1848",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -0.017094017094017,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 117 },
["render"] = "\\frac{-2}{117}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{117}",
["y"] = -2,
["z"] = 117 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{1\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{9} + \\frac{-5}{1\\frac{4}{9}}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{9} + \\frac{-5}{1\\frac{4}{9}})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 6}{13}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{4}{9} + \\frac{-5}{1\\frac{4}{9}}) \\cdot \\frac{7 + 6}{13}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.76, bodu=152, $$\frac{13 \cdot -14}{2\frac{5}{9}} \cdot \frac{2\frac{5}{12}}{1\frac{3}{4}}=\textcolor{white}{-98\frac{8}{23}}$$return {
["body"] = 152,
["id"] = "ScZKia_0511_1848",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -98.347826086957,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2262,
["jmenovatel"] = 23 },
["render"] = "\\frac{-47502}{483}",
["typ"] = "cislo" },
["tex"] = "-98\\frac{8}{23}",
["x"] = -98,
["y"] = 8,
["z"] = 23 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "13 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot -14}{2\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12}}{1\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{13 \\cdot -14}{2\\frac{5}{9}} \\cdot \\frac{2\\frac{5}{12}}{1\\frac{3}{4}}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.77, bodu=123, $$(2\frac{4}{13} + 4\frac{1}{6} \cdot -12 + 11) \cdot \frac{-13}{-7}=\textcolor{white}{-68\frac{1}{7}}$$return {
["body"] = 123,
["id"] = "SP2GDK_0511_1848",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -68.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -477,
["jmenovatel"] = 7 },
["render"] = "\\frac{-6201}{91}",
["typ"] = "cislo" },
["tex"] = "-68\\frac{1}{7}",
["x"] = -68,
["y"] = 1,
["z"] = 7 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} \\cdot -12 + 11",
["typ"] = "plus" },
["render"] = "2\\frac{4}{13} + 4\\frac{1}{6} \\cdot -12 + 11",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{13} + 4\\frac{1}{6} \\cdot -12 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-7}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{4}{13} + 4\\frac{1}{6} \\cdot -12 + 11) \\cdot \\frac{-13}{-7}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.78, bodu=155, $$\frac{\frac{13}{2\frac{2}{6} - 4\frac{1}{5}}}{12 - 15 + 4\frac{4}{11}}=\textcolor{white}{-5\frac{3}{28}}$$return {
["body"] = 155,
["id"] = "AtjZ6L_0511_1848",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -5.1071428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -143,
["jmenovatel"] = 28 },
["render"] = "\\frac{-2145}{420}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{3}{28}",
["x"] = -5,
["y"] = 3,
["z"] = 28 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} - 4\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "\\frac{13}{2\\frac{2}{6} - 4\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "12 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "12 - 15 + 4\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{13}{2\\frac{2}{6} - 4\\frac{1}{5}}}{12 - 15 + 4\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.79, bodu=157, $$\frac{16}{\frac{17}{2\frac{2}{4} + 3\frac{3}{6} \cdot -5 + 1\frac{4}{11}}}=\textcolor{white}{-12\frac{156}{187}}$$return {
["body"] = 157,
["id"] = "8jarvx_0511_1848",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -12.83422459893,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2400,
["jmenovatel"] = 187 },
["render"] = "\\frac{2400}{-187}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{156}{187}",
["x"] = -12,
["y"] = 156,
["z"] = 187 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["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"] = "3\\frac{3}{6} \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} \\cdot -5 + 1\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "2\\frac{2}{4} + 3\\frac{3}{6} \\cdot -5 + 1\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "\\frac{17}{2\\frac{2}{4} + 3\\frac{3}{6} \\cdot -5 + 1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{16}{\\frac{17}{2\\frac{2}{4} + 3\\frac{3}{6} \\cdot -5 + 1\\frac{4}{11}}}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.8, bodu=100, $$-2 \cdot (3\frac{3}{10} - (23 + 8 \cdot -20)) \cdot -12=\textcolor{white}{3367{,}2}$$return {
["body"] = 100,
["id"] = "xrTKfD_0511_1848",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 3367.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16836,
["jmenovatel"] = 5 },
["render"] = "\\frac{16836}{5}",
["typ"] = "cislo" },
["tex"] = "3367\\frac{1}{5}",
["tex_float"] = "3367{,}2",
["x"] = 3367,
["y"] = 1,
["z"] = 5 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "8 \\cdot -20",
["typ"] = "krat" },
["render"] = "23 + 8 \\cdot -20",
["typ"] = "plus" },
["render"] = "(23 + 8 \\cdot -20)",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{10} - (23 + 8 \\cdot -20)",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{10} - (23 + 8 \\cdot -20))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{10} - (23 + 8 \\cdot -20)) \\cdot -12",
["typ"] = "krat" },
["render"] = "-2 \\cdot (3\\frac{3}{10} - (23 + 8 \\cdot -20)) \\cdot -12",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.81, bodu=101, $$-12 + \frac{4\frac{5}{11} - (-20)}{18} - 15 \cdot 21=\textcolor{white}{-325\frac{127}{198}}$$return {
["body"] = 101,
["id"] = "40iQsV_0511_1848",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -325.64141414141,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64477,
["jmenovatel"] = 198 },
["render"] = "\\frac{-64477}{198}",
["typ"] = "cislo" },
["tex"] = "-325\\frac{127}{198}",
["x"] = -325,
["y"] = 127,
["z"] = 198 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} - (-20)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11} - (-20)}{18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "15 \\cdot 21",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{11} - (-20)}{18} - 15 \\cdot 21",
["typ"] = "minus" },
["render"] = "-12 + \\frac{4\\frac{5}{11} - (-20)}{18} - 15 \\cdot 21",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.82, bodu=146, $$1\frac{5}{8} \cdot (\frac{9}{-13})^2 - (9 - (2\frac{3}{9} - (-11)))=\textcolor{white}{5\frac{35}{312}}$$return {
["body"] = 146,
["id"] = "FUa48A_0511_1848",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 5.1121794871795,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1595,
["jmenovatel"] = 312 },
["render"] = "\\frac{1595}{312}",
["typ"] = "cislo" },
["tex"] = "5\\frac{35}{312}",
["x"] = 5,
["y"] = 35,
["z"] = 312 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{-13})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{5}{8} \\cdot (\\frac{9}{-13})^2",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (-11)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{9} - (-11))",
["typ"] = "zavorka" },
["render"] = "9 - (2\\frac{3}{9} - (-11))",
["typ"] = "minus" },
["render"] = "(9 - (2\\frac{3}{9} - (-11)))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{8} \\cdot (\\frac{9}{-13})^2 - (9 - (2\\frac{3}{9} - (-11)))",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.83, bodu=163, $$\frac{(3\frac{2}{8} - 14) \cdot 3\frac{3}{10}}{-10} + (-17 \cdot 3\frac{3}{6})=\textcolor{white}{-55\frac{381}{400}}$$return {
["body"] = 163,
["id"] = "fLtCWN_0511_1848",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -55.9525,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22381,
["jmenovatel"] = 400 },
["render"] = "\\frac{-44762}{800}",
["typ"] = "cislo" },
["tex"] = "-55\\frac{381}{400}",
["x"] = -55,
["y"] = 381,
["z"] = 400 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 14",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{8} - 14)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{8} - 14) \\cdot 3\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{2}{8} - 14) \\cdot 3\\frac{3}{10}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-17 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "\\frac{(3\\frac{2}{8} - 14) \\cdot 3\\frac{3}{10}}{-10} + (-17 \\cdot 3\\frac{3}{6})",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.84, bodu=199, $$1\frac{2}{7} \cdot (19 + 4\frac{1}{4}) + (-14 + 2\frac{3}{10} - (-4) - 2\frac{1}{10})=\textcolor{white}{20\frac{13}{140}}$$return {
["body"] = 199,
["id"] = "q1BCaE_0511_1848",
["obtiznost"] = 1.64,
["reseni"] = {
["float"] = 20.092857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2813,
["jmenovatel"] = 140 },
["render"] = "\\frac{2813}{140}",
["typ"] = "cislo" },
["tex"] = "20\\frac{13}{140}",
["x"] = 20,
["y"] = 13,
["z"] = 140 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "19 + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(19 + 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{7} \\cdot (19 + 4\\frac{1}{4})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{3}{10} - (-4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{3}{10} - (-4) - 2\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "1\\frac{2}{7} \\cdot (19 + 4\\frac{1}{4}) + (-14 + 2\\frac{3}{10} - (-4) - 2\\frac{1}{10})",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.85, bodu=200, $$\frac{\frac{-19 \cdot 2\frac{1}{9}}{1\frac{1}{7} + (-15)}}{1\frac{5}{10} - (3\frac{2}{6} + 13)}=\textcolor{white}{-\frac{5054}{25899}}$$return {
["body"] = 200,
["id"] = "usozXx_0511_1848",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -0.19514266960114,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5054,
["jmenovatel"] = 25899 },
["render"] = "\\frac{15162}{-77697}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5054}{25899}",
["y"] = -5054,
["z"] = 25899 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 2\\frac{1}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} + (-15)",
["typ"] = "plus" },
["render"] = "\\frac{-19 \\cdot 2\\frac{1}{9}}{1\\frac{1}{7} + (-15)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 13",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{6} + 13)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{10} - (3\\frac{2}{6} + 13)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-19 \\cdot 2\\frac{1}{9}}{1\\frac{1}{7} + (-15)}}{1\\frac{5}{10} - (3\\frac{2}{6} + 13)}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.86, bodu=202, $$-7 + 3\frac{1}{7} - (-14 \cdot (4\frac{2}{10} + 2\frac{3}{13} + 4\frac{4}{11} - 13))=\textcolor{white}{-34\frac{3681}{5005}}$$return {
["body"] = 202,
["id"] = "26pYk7_0511_1848",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -34.735464535465,
["objekt"] = {
["hodnota"] = {
["citatel"] = -173851,
["jmenovatel"] = 5005 },
["render"] = "\\frac{-173851}{5005}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{3681}{5005}",
["x"] = -34,
["y"] = 3681,
["z"] = 5005 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-7 + 3\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} + 2\\frac{3}{13}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} - 13",
["typ"] = "minus" },
["render"] = "4\\frac{2}{10} + 2\\frac{3}{13} + 4\\frac{4}{11} - 13",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{10} + 2\\frac{3}{13} + 4\\frac{4}{11} - 13)",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (4\\frac{2}{10} + 2\\frac{3}{13} + 4\\frac{4}{11} - 13)",
["typ"] = "krat" },
["render"] = "-7 + 3\\frac{1}{7} - (-14 \\cdot (4\\frac{2}{10} + 2\\frac{3}{13} + 4\\frac{4}{11} - 13))",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.87, bodu=170, $$(\frac{-10}{1\frac{3}{6}} + \frac{-14 \cdot 3\frac{1}{8}}{3\frac{1}{6}}) \cdot -13=\textcolor{white}{266\frac{31}{114}}$$return {
["body"] = 170,
["id"] = "MYn92F_0511_1848",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 266.27192982456,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30355,
["jmenovatel"] = 114 },
["render"] = "\\frac{30355}{114}",
["typ"] = "cislo" },
["tex"] = "266\\frac{31}{114}",
["x"] = 266,
["y"] = 31,
["z"] = 114 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 3\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-14 \\cdot 3\\frac{1}{8}}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10}{1\\frac{3}{6}} + \\frac{-14 \\cdot 3\\frac{1}{8}}{3\\frac{1}{6}}",
["typ"] = "plus" },
["render"] = "(\\frac{-10}{1\\frac{3}{6}} + \\frac{-14 \\cdot 3\\frac{1}{8}}{3\\frac{1}{6}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{1\\frac{3}{6}} + \\frac{-14 \\cdot 3\\frac{1}{8}}{3\\frac{1}{6}}) \\cdot -13",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.88, bodu=140, $$\frac{\frac{-13}{\frac{3\frac{5}{13}}{-7}}}{1\frac{1}{7} \cdot -19}=\textcolor{white}{-1\frac{1593}{6688}}$$return {
["body"] = 140,
["id"] = "dGUHxa_0511_1848",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -1.2381877990431,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8281,
["jmenovatel"] = 6688 },
["render"] = "\\frac{8281}{-6688}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1593}{6688}",
["x"] = -1,
["y"] = 1593,
["z"] = 6688 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{3\\frac{5}{13}}{-7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} \\cdot -19",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-13}{\\frac{3\\frac{5}{13}}{-7}}}{1\\frac{1}{7} \\cdot -19}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.89, bodu=207, $$(3\frac{1}{6} + 12) \cdot (16 + \frac{3\frac{4}{6}}{4\frac{4}{9}} \cdot 3\frac{5}{13})=\textcolor{white}{285\frac{1}{60}}$$return {
["body"] = 207,
["id"] = "Gfc3T2_0511_1848",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 285.01666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17101,
["jmenovatel"] = 60 },
["render"] = "\\frac{222313}{780}",
["typ"] = "cislo" },
["tex"] = "285\\frac{1}{60}",
["x"] = 285,
["y"] = 1,
["z"] = 60 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} + 12",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{6} + 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{4\\frac{4}{9}} \\cdot 3\\frac{5}{13}",
["typ"] = "krat" },
["render"] = "16 + \\frac{3\\frac{4}{6}}{4\\frac{4}{9}} \\cdot 3\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "(16 + \\frac{3\\frac{4}{6}}{4\\frac{4}{9}} \\cdot 3\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{1}{6} + 12) \\cdot (16 + \\frac{3\\frac{4}{6}}{4\\frac{4}{9}} \\cdot 3\\frac{5}{13})",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.9, bodu=113, $$-10 \cdot 16 \cdot 6 \cdot (1\frac{1}{6} - 8) \cdot -15=\textcolor{white}{-98400}$$return {
["body"] = 113,
["id"] = "lX61qc_0511_1848",
["obtiznost"] = 1.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -98400,
["jmenovatel"] = 1 },
["render"] = "\\frac{-98400}{1}",
["typ"] = "cislo" },
["tex"] = "-98400",
["tex_float"] = "-98400",
["x"] = -98400 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} - 8",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{6} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{6} - 8) \\cdot -15",
["typ"] = "krat" },
["render"] = "6 \\cdot (1\\frac{1}{6} - 8) \\cdot -15",
["typ"] = "krat" },
["render"] = "-10 \\cdot 16 \\cdot 6 \\cdot (1\\frac{1}{6} - 8) \\cdot -15",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.91, bodu=144, $$(14 \cdot (7 + 1\frac{5}{9}) + 6 - (-17)) \cdot (1\frac{3}{8} - (-11))=\textcolor{white}{1766{,}875}$$return {
["body"] = 144,
["id"] = "umy4uX_0511_1848",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 1766.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14135,
["jmenovatel"] = 8 },
["render"] = "\\frac{127215}{72}",
["typ"] = "cislo" },
["tex"] = "1766\\frac{7}{8}",
["tex_float"] = "1766{,}875",
["x"] = 1766,
["y"] = 7,
["z"] = 8 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(7 + 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (7 + 1\\frac{5}{9})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "6 - (-17)",
["typ"] = "minus" },
["render"] = "14 \\cdot (7 + 1\\frac{5}{9}) + 6 - (-17)",
["typ"] = "plus" },
["render"] = "(14 \\cdot (7 + 1\\frac{5}{9}) + 6 - (-17))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - (-11)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{8} - (-11))",
["typ"] = "zavorka" },
["render"] = "(14 \\cdot (7 + 1\\frac{5}{9}) + 6 - (-17)) \\cdot (1\\frac{3}{8} - (-11))",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.92, bodu=178, $$\frac{4\frac{2}{6} \cdot 2\frac{2}{9} + (-3)}{-5 - 2\frac{5}{8} - 11}=\textcolor{white}{-\frac{1432}{4023}}$$return {
["body"] = 178,
["id"] = "pELA9h_0511_1848",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -0.35595326870495,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1432,
["jmenovatel"] = 4023 },
["render"] = "\\frac{1432}{-4023}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1432}{4023}",
["y"] = -1432,
["z"] = 4023 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 2\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} \\cdot 2\\frac{2}{9} + (-3)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-5 - 2\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 - 2\\frac{5}{8} - 11",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{6} \\cdot 2\\frac{2}{9} + (-3)}{-5 - 2\\frac{5}{8} - 11}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.93, bodu=194, $$\frac{(\frac{15}{-22})^2}{4\frac{5}{10}} \cdot \frac{-12}{2\frac{2}{11}}=\textcolor{white}{-\frac{25}{44}}$$return {
["body"] = 194,
["id"] = "zEbHYr_0511_1848",
["obtiznost"] = 1.6136,
["reseni"] = {
["float"] = -0.56818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 44 },
["render"] = "\\frac{-275}{484}",
["typ"] = "cislo" },
["tex"] = "-\\frac{25}{44}",
["y"] = -25,
["z"] = 44 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-22}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{15}{-22})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{15}{-22})^2}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{2}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{15}{-22})^2}{4\\frac{5}{10}} \\cdot \\frac{-12}{2\\frac{2}{11}}",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.94, bodu=181, $$(20 + (-7)) \cdot -14 - 1\frac{4}{14} + \frac{22}{4\frac{3}{10}} + 3\frac{3}{7}=\textcolor{white}{-174\frac{223}{301}}$$return {
["body"] = 181,
["id"] = "PynvOv_0511_1848",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -174.74086378738,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52597,
["jmenovatel"] = 301 },
["render"] = "\\frac{-368179}{2107}",
["typ"] = "cislo" },
["tex"] = "-174\\frac{223}{301}",
["x"] = -174,
["y"] = 223,
["z"] = 301 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "20 + (-7)",
["typ"] = "plus" },
["render"] = "(20 + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(20 + (-7)) \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "(20 + (-7)) \\cdot -14 - 1\\frac{4}{14}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{22}{4\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{22}{4\\frac{3}{10}} + 3\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(20 + (-7)) \\cdot -14 - 1\\frac{4}{14} + \\frac{22}{4\\frac{3}{10}} + 3\\frac{3}{7}",
["typ"] = "plus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.95, bodu=262, $$2\frac{2}{3} - (-11 + 4\frac{1}{8}) \cdot ((\frac{16}{3\frac{1}{3}})^2 - 4\frac{5}{10})=\textcolor{white}{130\frac{31}{240}}$$return {
["body"] = 262,
["id"] = "AplAsG_0511_1848",
["obtiznost"] = 1.9904,
["reseni"] = {
["float"] = 130.12916666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 31231,
["jmenovatel"] = 240 },
["render"] = "\\frac{31231}{240}",
["typ"] = "cislo" },
["tex"] = "130\\frac{31}{240}",
["x"] = 130,
["y"] = 31,
["z"] = 240 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-11 + 4\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "(-11 + 4\\frac{1}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{16}{3\\frac{1}{3}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{16}{3\\frac{1}{3}})^2 - 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "((\\frac{16}{3\\frac{1}{3}})^2 - 4\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "(-11 + 4\\frac{1}{8}) \\cdot ((\\frac{16}{3\\frac{1}{3}})^2 - 4\\frac{5}{10})",
["typ"] = "krat" },
["render"] = "2\\frac{2}{3} - (-11 + 4\\frac{1}{8}) \\cdot ((\\frac{16}{3\\frac{1}{3}})^2 - 4\\frac{5}{10})",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.96, bodu=122, $$\frac{\frac{\frac{4\frac{1}{6}}{18}}{-18}}{-13 + (-18 + 4)}=\textcolor{white}{\frac{25}{52488}}$$return {
["body"] = 122,
["id"] = "vCPGLc_0511_1848",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 0.0004762993446121,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 52488 },
["render"] = "\\frac{-25}{-52488}",
["typ"] = "cislo" },
["tex"] = "\\frac{25}{52488}",
["y"] = 25,
["z"] = 52488 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{6}}{18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{1}{6}}{18}}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-18 + 4",
["typ"] = "plus" },
["render"] = "-13 + (-18 + 4)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{\\frac{4\\frac{1}{6}}{18}}{-18}}{-13 + (-18 + 4)}",
["typ"] = "lomeno" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.97, bodu=297, $$(2\frac{4}{7} + 15) \cdot 4\frac{5}{6} \cdot (1\frac{5}{8} + 3\frac{2}{8}) \cdot (1\frac{3}{11} + 1\frac{3}{7})=\textcolor{white}{1118\frac{221}{539}}$$return {
["body"] = 297,
["id"] = "i7ZEZ4_0511_1848",
["obtiznost"] = 2.17,
["reseni"] = {
["float"] = 1118.4100185529,
["objekt"] = {
["hodnota"] = {
["citatel"] = 602823,
["jmenovatel"] = 539 },
["render"] = "\\frac{602823}{539}",
["typ"] = "cislo" },
["tex"] = "1118\\frac{221}{539}",
["x"] = 1118,
["y"] = 221,
["z"] = 539 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.97",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} + 15",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{7} + 15)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + 3\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{8} + 3\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{11} + 1\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{8} + 3\\frac{2}{8}) \\cdot (1\\frac{3}{11} + 1\\frac{3}{7})",
["typ"] = "krat" },
["render"] = "4\\frac{5}{6} \\cdot (1\\frac{5}{8} + 3\\frac{2}{8}) \\cdot (1\\frac{3}{11} + 1\\frac{3}{7})",
["typ"] = "krat" },
["render"] = "(2\\frac{4}{7} + 15) \\cdot 4\\frac{5}{6} \\cdot (1\\frac{5}{8} + 3\\frac{2}{8}) \\cdot (1\\frac{3}{11} + 1\\frac{3}{7})",
["typ"] = "krat" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.98, bodu=181, $$\frac{2\frac{5}{12} \cdot -16}{-18} - 2\frac{3}{12} - (\frac{-15}{-13})^2=\textcolor{white}{-1\frac{7907}{18252}}$$return {
["body"] = 181,
["id"] = "JnlOVe_0511_1848",
["obtiznost"] = 1.5376,
["reseni"] = {
["float"] = -1.4332127985974,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26159,
["jmenovatel"] = 18252 },
["render"] = "\\frac{-26159}{18252}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{7907}{18252}",
["x"] = -1,
["y"] = 7907,
["z"] = 18252 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12} \\cdot -16}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12} \\cdot -16}{-18} - 2\\frac{3}{12}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-15}{-13})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{5}{12} \\cdot -16}{-18} - 2\\frac{3}{12} - (\\frac{-15}{-13})^2",
["typ"] = "minus" } }
seed: uRoejFJRYYQaDHIAR5Vi_0.99, bodu=225, $$\frac{1\frac{1}{7}}{2\frac{1}{3}} \cdot (18 - 12 + 1\frac{2}{5} + \frac{4\frac{1}{7}}{18})=\textcolor{white}{3\frac{3793}{5145}}$$return {
["body"] = 225,
["id"] = "Zf1Ev2_0511_1848",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = 3.7372206025267,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19228,
["jmenovatel"] = 5145 },
["render"] = "\\frac{115368}{30870}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3793}{5145}",
["x"] = 3,
["y"] = 3793,
["z"] = 5145 },
["seed"] = "uRoejFJRYYQaDHIAR5Vi_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{2\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "18 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "18 - 12 + 1\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{7}}{18}",
["typ"] = "lomeno" },
["render"] = "18 - 12 + 1\\frac{2}{5} + \\frac{4\\frac{1}{7}}{18}",
["typ"] = "plus" },
["render"] = "(18 - 12 + 1\\frac{2}{5} + \\frac{4\\frac{1}{7}}{18})",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{1}{7}}{2\\frac{1}{3}} \\cdot (18 - 12 + 1\\frac{2}{5} + \\frac{4\\frac{1}{7}}{18})",
["typ"] = "krat" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
Anime-dancegfhjd_o_826631.gif: 
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
apollon_by_kokorokeke-dbykcqz.gif: 
asduaiod.gif: 
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b8bf8658dd216b2ec14a1b9a27123f20.gif: 
boosdfgsmlebron.gif: 
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dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
eid-celebrationfdgh-around-the-world-photos.gif: 
f8f99505ebbf8c2de07aee9405607e92.gif: 
fa8e0dcaa2cac4d78bf0062922ec75d2c8c69893_hq.gif: 
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gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
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harrypotter-snape-clapping.gif: 
hsk.gif: 
idafstyiuyosdf.gif: 
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
tenfghfghdhor.gif: 
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tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
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untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 