- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: QyjHaZNAokoIxyFEf5dD_0, bodu=10, $$\frac{10 + 7}{-4 \cdot -6}=\textcolor{white}{\frac{17}{24}}$$return {
["body"] = 10,
["id"] = "enRo82_0402_0529",
["obtiznost"] = 0,
["reseni"] = {
["float"] = 0.70833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 24 },
["render"] = "\\frac{17}{24}",
["typ"] = "cislo" },
["tex"] = "\\frac{17}{24}",
["y"] = 17,
["z"] = 24 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{10 + 7}{-4 \\cdot -6}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.01, bodu=10, $$\frac{(9 - (7 + 5))^2}{5 + 7}=\textcolor{white}{0{,}75}$$return {
["body"] = 10,
["id"] = "QD1cXj_0402_0529",
["obtiznost"] = 0.014,
["reseni"] = {
["float"] = 0.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 4 },
["render"] = "\\frac{9}{12}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{4}",
["tex_float"] = "0{,}75",
["y"] = 3,
["z"] = 4 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["render"] = "(7 + 5)",
["typ"] = "zavorka" },
["render"] = "9 - (7 + 5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - (7 + 5))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 + 7",
["typ"] = "plus" },
["render"] = "\\frac{(9 - (7 + 5))^2}{5 + 7}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.02, bodu=10, $$-7 - 6 - \frac{11}{3}=\textcolor{white}{-16\frac{2}{3}}$$return {
["body"] = 10,
["id"] = "AAcRj3_0402_0529",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = -16.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50,
["jmenovatel"] = 3 },
["render"] = "\\frac{-50}{3}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{2}{3}",
["x"] = -16,
["y"] = 2,
["z"] = 3 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.02",
["zadani"] = {
["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"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3}",
["typ"] = "lomeno" },
["render"] = "-7 - 6 - \\frac{11}{3}",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.03, bodu=5, $$(11 + 3 \cdot 7) \cdot 8=\textcolor{white}{256}$$return {
["body"] = 5,
["id"] = "hPUDaJ_0402_0529",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["tex_float"] = "256",
["x"] = 256 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.03",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7",
["typ"] = "krat" },
["render"] = "11 + 3 \\cdot 7",
["typ"] = "plus" },
["render"] = "(11 + 3 \\cdot 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(11 + 3 \\cdot 7) \\cdot 8",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.04, bodu=10, $$\frac{4}{\frac{6}{7}}=\textcolor{white}{4\frac{2}{3}}$$return {
["body"] = 10,
["id"] = "J1Stx9_0402_0529",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 4.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "\\frac{28}{6}",
["typ"] = "cislo" },
["tex"] = "4\\frac{2}{3}",
["x"] = 4,
["y"] = 2,
["z"] = 3 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{6}{7}}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.05, bodu=12, $$(6 - 4 - (-9 + 6))^4=\textcolor{white}{625}$$return {
["body"] = 12,
["id"] = "JTPfuh_0402_0529",
["obtiznost"] = 0.3004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 1 },
["render"] = "\\frac{625}{1}",
["typ"] = "cislo" },
["tex"] = "625",
["x"] = 625 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 - 4",
["typ"] = "minus" },
["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"] = "plus" },
["render"] = "(-9 + 6)",
["typ"] = "zavorka" },
["render"] = "6 - 4 - (-9 + 6)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(6 - 4 - (-9 + 6))^4",
["typ"] = "mocnina" } }
seed: QyjHaZNAokoIxyFEf5dD_0.06, bodu=5, $$(10 - (8 - 6)) \cdot -7=\textcolor{white}{-56}$$return {
["body"] = 5,
["id"] = "xKLXDz_0402_0529",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -56,
["jmenovatel"] = 1 },
["render"] = "\\frac{-56}{1}",
["typ"] = "cislo" },
["tex"] = "-56",
["tex_float"] = "-56",
["x"] = -56 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.06",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = "(8 - 6)",
["typ"] = "zavorka" },
["render"] = "10 - (8 - 6)",
["typ"] = "minus" },
["render"] = "(10 - (8 - 6))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(10 - (8 - 6)) \\cdot -7",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.07, bodu=5, $$5 \cdot (3 + 4 \cdot 4)=\textcolor{white}{95}$$return {
["body"] = 5,
["id"] = "LTQDE5_0402_0529",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 95,
["jmenovatel"] = 1 },
["render"] = "\\frac{95}{1}",
["typ"] = "cislo" },
["tex"] = "95",
["x"] = 95 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 \\cdot 4",
["typ"] = "krat" },
["render"] = "3 + 4 \\cdot 4",
["typ"] = "plus" },
["render"] = "(3 + 4 \\cdot 4)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (3 + 4 \\cdot 4)",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.08, bodu=6, $$9 - (10 + 9) + 4 - 9=\textcolor{white}{-15}$$return {
["body"] = 6,
["id"] = "oyo4yb_0402_0529",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15}{1}",
["typ"] = "cislo" },
["tex"] = "-15",
["tex_float"] = "-15",
["x"] = -15 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "(10 + 9)",
["typ"] = "zavorka" },
["render"] = "9 - (10 + 9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - (10 + 9) + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - (10 + 9) + 4 - 9",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.09, bodu=12, $$\frac{\frac{7}{9}}{7 - 9}=\textcolor{white}{-\frac{7}{18}}$$return {
["body"] = 12,
["id"] = "Mt93jg_0402_0529",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = -0.38888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 18 },
["render"] = "\\frac{7}{-18}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{18}",
["y"] = -7,
["z"] = 18 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{7}{9}}{7 - 9}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.1, bodu=12, $$\frac{\frac{10}{7}}{(12 - 11)^2}=\textcolor{white}{1\frac{3}{7}}$$return {
["body"] = 12,
["id"] = "MRVxKI_0402_0529",
["obtiznost"] = 0.1008,
["reseni"] = {
["float"] = 1.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "\\frac{10}{7}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3}{7}",
["x"] = 1,
["y"] = 3,
["z"] = 7 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 11)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{10}{7}}{(12 - 11)^2}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.11, bodu=13, $$\frac{11 - 3}{7 - 6}=\textcolor{white}{8}$$return {
["body"] = 13,
["id"] = "dBXcv7_0402_0529",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["x"] = 8 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "11 - 3",
["typ"] = "minus" },
["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{11 - 3}{7 - 6}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.12, bodu=13, $$\frac{6}{-6} \cdot (5 + 10)=\textcolor{white}{-15}$$return {
["body"] = 13,
["id"] = "KVu47V_0402_0529",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15}{1}",
["typ"] = "cislo" },
["tex"] = "-15",
["tex_float"] = "-15",
["x"] = -15 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 + 10",
["typ"] = "plus" },
["render"] = "(5 + 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{-6} \\cdot (5 + 10)",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.13, bodu=7, $$6 \cdot -9 \cdot 9=\textcolor{white}{-486}$$return {
["body"] = 7,
["id"] = "i1cjhU_0402_0529",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -486,
["jmenovatel"] = 1 },
["render"] = "\\frac{-486}{1}",
["typ"] = "cislo" },
["tex"] = "-486",
["x"] = -486 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "6 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 \\cdot -9 \\cdot 9",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.14, bodu=7, $$((8 + (-8)) \cdot (7 - (-5 + 11))^3)^4=\textcolor{white}{0}$$return {
["body"] = 7,
["id"] = "OghGjv_0402_0529",
["obtiznost"] = 0.1412,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.14",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 + (-8)",
["typ"] = "plus" },
["render"] = "(8 + (-8))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 + 11",
["typ"] = "plus" },
["render"] = "(-5 + 11)",
["typ"] = "zavorka" },
["render"] = "7 - (-5 + 11)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - (-5 + 11))^3",
["typ"] = "mocnina" },
["render"] = "(8 + (-8)) \\cdot (7 - (-5 + 11))^3",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "((8 + (-8)) \\cdot (7 - (-5 + 11))^3)^4",
["typ"] = "mocnina" } }
seed: QyjHaZNAokoIxyFEf5dD_0.15, bodu=15, $$\frac{(6 - 9) \cdot -7}{9}=\textcolor{white}{2\frac{1}{3}}$$return {
["body"] = 15,
["id"] = "6HRD3H_0402_0529",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 2.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "\\frac{21}{9}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{3}",
["x"] = 2,
["y"] = 1,
["z"] = 3 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 - 9",
["typ"] = "minus" },
["render"] = "(6 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(6 - 9) \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(6 - 9) \\cdot -7}{9}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.16, bodu=7, $$9 \cdot 4 \cdot 3=\textcolor{white}{108}$$return {
["body"] = 7,
["id"] = "0dcbjy_0402_0529",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 108,
["jmenovatel"] = 1 },
["render"] = "\\frac{108}{1}",
["typ"] = "cislo" },
["tex"] = "108",
["x"] = 108 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "9 \\cdot 4 \\cdot 3",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.17, bodu=16, $$-12 + 6 + \frac{-6}{5}=\textcolor{white}{-7{,}2}$$return {
["body"] = 16,
["id"] = "GXIDIc_0402_0529",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = -7.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 5 },
["render"] = "\\frac{-36}{5}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{5}",
["tex_float"] = "-7{,}2",
["x"] = -7,
["y"] = 1,
["z"] = 5 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{5}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{-6}{5}",
["typ"] = "plus" },
["render"] = "-12 + 6 + \\frac{-6}{5}",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.18, bodu=31, $$(9 - (-6)) \cdot \frac{1\frac{5}{6}}{8}=\textcolor{white}{3\frac{7}{16}}$$return {
["body"] = 31,
["id"] = "9bXWsY_0402_0529",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 3.4375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 16 },
["render"] = "\\frac{165}{48}",
["typ"] = "cislo" },
["tex"] = "3\\frac{7}{16}",
["x"] = 3,
["y"] = 7,
["z"] = 16 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.18",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{6}}{8}",
["typ"] = "lomeno" },
["render"] = "(9 - (-6)) \\cdot \\frac{1\\frac{5}{6}}{8}",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.19, bodu=17, $$-8 \cdot \frac{-10}{5}=\textcolor{white}{16}$$return {
["body"] = 17,
["id"] = "ZnlOQa_0402_0529",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{16}{1}",
["typ"] = "cislo" },
["tex"] = "16",
["tex_float"] = "16",
["x"] = 16 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{5}",
["typ"] = "lomeno" },
["render"] = "-8 \\cdot \\frac{-10}{5}",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.2, bodu=9, $$(6 + 3) \cdot (9 - (-8 + 10)^3)=\textcolor{white}{9}$$return {
["body"] = 9,
["id"] = "ubVJ0Y_0402_0529",
["obtiznost"] = 0.2036,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "\\frac{9}{1}",
["typ"] = "cislo" },
["tex"] = "9",
["x"] = 9 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.2",
["zadani"] = {
["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"] = "plus" },
["render"] = "(6 + 3)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 + 10",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 10)^3",
["typ"] = "mocnina" },
["render"] = "9 - (-8 + 10)^3",
["typ"] = "minus" },
["render"] = "(9 - (-8 + 10)^3)",
["typ"] = "zavorka" },
["render"] = "(6 + 3) \\cdot (9 - (-8 + 10)^3)",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.21, bodu=48, $$\frac{(5 - 9)^4}{(\frac{4\frac{4}{6}}{6})^2}=\textcolor{white}{423\frac{9}{49}}$$return {
["body"] = 48,
["id"] = "oqIDjH_0402_0529",
["obtiznost"] = 0.5648,
["reseni"] = {
["float"] = 423.18367346939,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20736,
["jmenovatel"] = 49 },
["render"] = "\\frac{20736}{49}",
["typ"] = "cislo" },
["tex"] = "423\\frac{9}{49}",
["x"] = 423,
["y"] = 9,
["z"] = 49 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.21",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{4}{6}}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(5 - 9)^4}{(\\frac{4\\frac{4}{6}}{6})^2}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.22, bodu=9, $$4 \cdot -5 \cdot (9 + 7)=\textcolor{white}{-320}$$return {
["body"] = 9,
["id"] = "ciKkHW_0402_0529",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -320,
["jmenovatel"] = 1 },
["render"] = "\\frac{-320}{1}",
["typ"] = "cislo" },
["tex"] = "-320",
["tex_float"] = "-320",
["x"] = -320 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 + 7",
["typ"] = "plus" },
["render"] = "(9 + 7)",
["typ"] = "zavorka" },
["render"] = "4 \\cdot -5 \\cdot (9 + 7)",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.23, bodu=9, $$13 \cdot -5 \cdot -10 - 9=\textcolor{white}{641}$$return {
["body"] = 9,
["id"] = "yeTdvR_0402_0529",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 641,
["jmenovatel"] = 1 },
["render"] = "\\frac{641}{1}",
["typ"] = "cislo" },
["tex"] = "641",
["x"] = 641 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "13 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "13 \\cdot -5 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 \\cdot -5 \\cdot -10 - 9",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.24, bodu=10, $$2 \cdot 12 + 8 + 9 + 8=\textcolor{white}{49}$$return {
["body"] = 10,
["id"] = "2cXJ57_0402_0529",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 1 },
["render"] = "\\frac{49}{1}",
["typ"] = "cislo" },
["tex"] = "49",
["x"] = 49 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2 \\cdot 12 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["render"] = "2 \\cdot 12 + 8 + 9 + 8",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.25, bodu=26, $$\frac{7}{(5 - (10 - (-9)))^2}=\textcolor{white}{\frac{1}{28}}$$return {
["body"] = 26,
["id"] = "uPaVRA_0402_0529",
["obtiznost"] = 0.3288,
["reseni"] = {
["float"] = 0.035714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 28 },
["render"] = "\\frac{7}{196}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{28}",
["y"] = 1,
["z"] = 28 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 - (-9)",
["typ"] = "minus" },
["render"] = "(10 - (-9))",
["typ"] = "zavorka" },
["render"] = "5 - (10 - (-9))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - (10 - (-9)))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(5 - (10 - (-9)))^2}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.26, bodu=21, $$\frac{\frac{14 - 7}{6}}{-10}=\textcolor{white}{-\frac{7}{60}}$$return {
["body"] = 21,
["id"] = "lEADN5_0402_0529",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -0.11666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 60 },
["render"] = "\\frac{7}{-60}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{60}",
["y"] = -7,
["z"] = 60 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "14 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{14 - 7}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14 - 7}{6}}{-10}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.27, bodu=11, $$(8 + 9) \cdot 9 \cdot 12=\textcolor{white}{1836}$$return {
["body"] = 11,
["id"] = "VrlzIW_0402_0529",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1836,
["jmenovatel"] = 1 },
["render"] = "\\frac{1836}{1}",
["typ"] = "cislo" },
["tex"] = "1836",
["x"] = 1836 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + 9",
["typ"] = "plus" },
["render"] = "(8 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 \\cdot 12",
["typ"] = "krat" },
["render"] = "(8 + 9) \\cdot 9 \\cdot 12",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.28, bodu=23, $$\frac{-5}{13} \cdot (11 + (-11))=\textcolor{white}{0}$$return {
["body"] = 23,
["id"] = "rpTsEr_0402_0529",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -0,
["jmenovatel"] = 1 },
["render"] = "\\frac{-0}{13}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{13}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "11 + (-11)",
["typ"] = "plus" },
["render"] = "(11 + (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{-5}{13} \\cdot (11 + (-11))",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.29, bodu=40, $$4\frac{5}{9} - (5 - (-6 - 12) + (-12))=\textcolor{white}{-6\frac{4}{9}}$$return {
["body"] = 40,
["id"] = "kkFpn0_0402_0529",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -6.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -58,
["jmenovatel"] = 9 },
["render"] = "\\frac{-58}{9}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{4}{9}",
["x"] = -6,
["y"] = 4,
["z"] = 9 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-6 - 12",
["typ"] = "minus" },
["render"] = "(-6 - 12)",
["typ"] = "zavorka" },
["render"] = "5 - (-6 - 12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "5 - (-6 - 12) + (-12)",
["typ"] = "plus" },
["render"] = "(5 - (-6 - 12) + (-12))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{9} - (5 - (-6 - 12) + (-12))",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.3, bodu=12, $$3 + (-10 + (-10 + (-7))) \cdot 12=\textcolor{white}{-321}$$return {
["body"] = 12,
["id"] = "av3paM_0402_0529",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -321,
["jmenovatel"] = 1 },
["render"] = "\\frac{-321}{1}",
["typ"] = "cislo" },
["tex"] = "-321",
["tex_float"] = "-321",
["x"] = -321 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-10 + (-7)",
["typ"] = "plus" },
["render"] = "-10 + (-10 + (-7))",
["typ"] = "plus" },
["render"] = "(-10 + (-10 + (-7)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-10 + (-10 + (-7))) \\cdot 12",
["typ"] = "krat" },
["render"] = "3 + (-10 + (-10 + (-7))) \\cdot 12",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.31, bodu=25, $$9 \cdot 8 \cdot \frac{-8}{-9}=\textcolor{white}{64}$$return {
["body"] = 25,
["id"] = "F1tqig_0402_0529",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 1 },
["render"] = "\\frac{576}{9}",
["typ"] = "cislo" },
["tex"] = "64",
["x"] = 64 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-9}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot 8 \\cdot \\frac{-8}{-9}",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.32, bodu=26, $$\frac{10 + 12}{13 - (-13 \cdot -14)}=\textcolor{white}{-\frac{22}{169}}$$return {
["body"] = 26,
["id"] = "LoP06U_0402_0529",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -0.1301775147929,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 169 },
["render"] = "\\frac{22}{-169}",
["typ"] = "cislo" },
["tex"] = "-\\frac{22}{169}",
["y"] = -22,
["z"] = 169 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "13 - (-13 \\cdot -14)",
["typ"] = "minus" },
["render"] = "\\frac{10 + 12}{13 - (-13 \\cdot -14)}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.33, bodu=48, $$(1\frac{2}{3} \cdot -8 + 14)^4 \cdot 9=\textcolor{white}{1\frac{7}{9}}$$return {
["body"] = 48,
["id"] = "jG41jb_0402_0529",
["obtiznost"] = 0.5688,
["reseni"] = {
["float"] = 1.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 9 },
["render"] = "\\frac{144}{81}",
["typ"] = "cislo" },
["tex"] = "1\\frac{7}{9}",
["x"] = 1,
["y"] = 7,
["z"] = 9 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.33",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{3} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{3} \\cdot -8 + 14",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(1\\frac{2}{3} \\cdot -8 + 14)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{3} \\cdot -8 + 14)^4 \\cdot 9",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.34, bodu=27, $$\frac{6 - 8}{-2 - 14}=\textcolor{white}{0{,}125}$$return {
["body"] = 27,
["id"] = "ByCQe5_0402_0529",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 0.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 8 },
["render"] = "\\frac{-2}{-16}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{8}",
["tex_float"] = "0{,}125",
["y"] = 1,
["z"] = 8 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-2 - 14",
["typ"] = "minus" },
["render"] = "\\frac{6 - 8}{-2 - 14}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.35, bodu=50, $$((13 - 4)^2 - (-12)) \cdot 3\frac{4}{9}=\textcolor{white}{320\frac{1}{3}}$$return {
["body"] = 50,
["id"] = "8YIIsz_0402_0529",
["obtiznost"] = 0.5828,
["reseni"] = {
["float"] = 320.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 961,
["jmenovatel"] = 3 },
["render"] = "\\frac{2883}{9}",
["typ"] = "cislo" },
["tex"] = "320\\frac{1}{3}",
["x"] = 320,
["y"] = 1,
["z"] = 3 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "13 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(13 - 4)^2 - (-12)",
["typ"] = "minus" },
["render"] = "((13 - 4)^2 - (-12))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "((13 - 4)^2 - (-12)) \\cdot 3\\frac{4}{9}",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.36, bodu=26, $$-4 \cdot -14 + 10 + (-11 + 6)^4=\textcolor{white}{691}$$return {
["body"] = 26,
["id"] = "T1JlpG_0402_0529",
["obtiznost"] = 0.6104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 691,
["jmenovatel"] = 1 },
["render"] = "\\frac{691}{1}",
["typ"] = "cislo" },
["tex"] = "691",
["x"] = 691 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -14 + 10",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 + 6",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-11 + 6)^4",
["typ"] = "mocnina" },
["render"] = "-4 \\cdot -14 + 10 + (-11 + 6)^4",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.37, bodu=48, $$\frac{4}{2\frac{3}{6}} + (-4 \cdot -6)=\textcolor{white}{25{,}6}$$return {
["body"] = 48,
["id"] = "JUEFc3_0402_0529",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 25.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 128,
["jmenovatel"] = 5 },
["render"] = "\\frac{128}{5}",
["typ"] = "cislo" },
["tex"] = "25\\frac{3}{5}",
["tex_float"] = "25{,}6",
["x"] = 25,
["y"] = 3,
["z"] = 5 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{2\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{4}{2\\frac{3}{6}} + (-4 \\cdot -6)",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.38, bodu=31, $$(-9 - \frac{-7}{4}) \cdot 13=\textcolor{white}{-94{,}25}$$return {
["body"] = 31,
["id"] = "2V9T01_0402_0529",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -94.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -377,
["jmenovatel"] = 4 },
["render"] = "\\frac{-377}{4}",
["typ"] = "cislo" },
["tex"] = "-94\\frac{1}{4}",
["tex_float"] = "-94{,}25",
["x"] = -94,
["y"] = 1,
["z"] = 4 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.38",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{4}",
["typ"] = "lomeno" },
["render"] = "-9 - \\frac{-7}{4}",
["typ"] = "minus" },
["render"] = "(-9 - \\frac{-7}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-9 - \\frac{-7}{4}) \\cdot 13",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.39, bodu=31, $$\frac{5 - 10}{11 + 7} - 14=\textcolor{white}{-14\frac{5}{18}}$$return {
["body"] = 31,
["id"] = "I5oYZ1_0402_0529",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -14.277777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -257,
["jmenovatel"] = 18 },
["render"] = "\\frac{-257}{18}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{5}{18}",
["x"] = -14,
["y"] = 5,
["z"] = 18 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.39",
["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"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 7",
["typ"] = "plus" },
["render"] = "\\frac{5 - 10}{11 + 7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{5 - 10}{11 + 7} - 14",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.4, bodu=74, $$4\frac{1}{2} \cdot -6 \cdot (\frac{16}{3\frac{4}{6}} - (-14))=\textcolor{white}{-495\frac{9}{11}}$$return {
["body"] = 74,
["id"] = "tHBz5w_0402_0529",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -495.81818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5454,
["jmenovatel"] = 11 },
["render"] = "\\frac{-5454}{11}",
["typ"] = "cislo" },
["tex"] = "-495\\frac{9}{11}",
["x"] = -495,
["y"] = 9,
["z"] = 11 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{2} \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{4}{6}} - (-14)",
["typ"] = "minus" },
["render"] = "(\\frac{16}{3\\frac{4}{6}} - (-14))",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{2} \\cdot -6 \\cdot (\\frac{16}{3\\frac{4}{6}} - (-14))",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.41, bodu=102, $$\frac{(2\frac{4}{9} + 1\frac{5}{9} - 8)^2 - 3\frac{3}{4}}{5}=\textcolor{white}{2{,}45}$$return {
["body"] = 102,
["id"] = "KE18x3_0402_0529",
["obtiznost"] = 1.0168,
["reseni"] = {
["float"] = 2.45,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 20 },
["render"] = "\\frac{49}{20}",
["typ"] = "cislo" },
["tex"] = "2\\frac{9}{20}",
["tex_float"] = "2{,}45",
["x"] = 2,
["y"] = 9,
["z"] = 20 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - 8",
["typ"] = "minus" },
["render"] = "2\\frac{4}{9} + 1\\frac{5}{9} - 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{9} + 1\\frac{5}{9} - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{9} + 1\\frac{5}{9} - 8)^2 - 3\\frac{3}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{4}{9} + 1\\frac{5}{9} - 8)^2 - 3\\frac{3}{4}}{5}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.42, bodu=34, $$\frac{-9 - 3 \cdot 13}{-12 - 7}=\textcolor{white}{2\frac{10}{19}}$$return {
["body"] = 34,
["id"] = "lr8Unx_0402_0529",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 2.5263157894737,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 19 },
["render"] = "\\frac{-48}{-19}",
["typ"] = "cislo" },
["tex"] = "2\\frac{10}{19}",
["x"] = 2,
["y"] = 10,
["z"] = 19 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3 \\cdot 13",
["typ"] = "krat" },
["render"] = "-9 - 3 \\cdot 13",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-12 - 7",
["typ"] = "minus" },
["render"] = "\\frac{-9 - 3 \\cdot 13}{-12 - 7}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.43, bodu=35, $$\frac{-12 - 16 - (8 - (-10))}{10}=\textcolor{white}{-4{,}6}$$return {
["body"] = 35,
["id"] = "GFb31s_0402_0529",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -4.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 5 },
["render"] = "\\frac{-46}{10}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{3}{5}",
["tex_float"] = "-4{,}6",
["x"] = -4,
["y"] = 3,
["z"] = 5 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-12 - 16",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "8 - (-10)",
["typ"] = "minus" },
["render"] = "(8 - (-10))",
["typ"] = "zavorka" },
["render"] = "-12 - 16 - (8 - (-10))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-12 - 16 - (8 - (-10))}{10}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.44, bodu=67, $$(\frac{-5 + 2\frac{1}{5} \cdot -5}{4})^4 + (-10)=\textcolor{white}{246}$$return {
["body"] = 67,
["id"] = "3sgxzp_0402_0529",
["obtiznost"] = 0.7428,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 246,
["jmenovatel"] = 1 },
["render"] = "\\frac{246}{1}",
["typ"] = "cislo" },
["tex"] = "246",
["tex_float"] = "246",
["x"] = 246 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.44",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot -5",
["typ"] = "krat" },
["render"] = "-5 + 2\\frac{1}{5} \\cdot -5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-5 + 2\\frac{1}{5} \\cdot -5}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-5 + 2\\frac{1}{5} \\cdot -5}{4})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{-5 + 2\\frac{1}{5} \\cdot -5}{4})^4 + (-10)",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.45, bodu=57, $$-4 + 2\frac{5}{11} + 5 - 4 - (10 + (-8))=\textcolor{white}{-2\frac{6}{11}}$$return {
["body"] = 57,
["id"] = "PojuvW_0402_0529",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -2.5454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 11 },
["render"] = "\\frac{-28}{11}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{6}{11}",
["x"] = -2,
["y"] = 6,
["z"] = 11 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-4 + 2\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 - 4",
["typ"] = "minus" },
["render"] = "-4 + 2\\frac{5}{11} + 5 - 4",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 + (-8)",
["typ"] = "plus" },
["render"] = "(10 + (-8))",
["typ"] = "zavorka" },
["render"] = "-4 + 2\\frac{5}{11} + 5 - 4 - (10 + (-8))",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.46, bodu=108, $$1\frac{1}{3} \cdot 2\frac{2}{4} \cdot (9 + 1\frac{1}{4}) \cdot -10=\textcolor{white}{-341\frac{2}{3}}$$return {
["body"] = 108,
["id"] = "X3h38c_0402_0529",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -341.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1025,
["jmenovatel"] = 3 },
["render"] = "\\frac{-4100}{12}",
["typ"] = "cislo" },
["tex"] = "-341\\frac{2}{3}",
["x"] = -341,
["y"] = 2,
["z"] = 3 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(9 + 1\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(9 + 1\\frac{1}{4}) \\cdot -10",
["typ"] = "krat" },
["render"] = "2\\frac{2}{4} \\cdot (9 + 1\\frac{1}{4}) \\cdot -10",
["typ"] = "krat" },
["render"] = "1\\frac{1}{3} \\cdot 2\\frac{2}{4} \\cdot (9 + 1\\frac{1}{4}) \\cdot -10",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.47, bodu=59, $$\frac{\frac{6}{2\frac{3}{7}}}{2 \cdot 13}=\textcolor{white}{\frac{21}{221}}$$return {
["body"] = 59,
["id"] = "bvJrRo_0402_0529",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = 0.095022624434389,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 221 },
["render"] = "\\frac{42}{442}",
["typ"] = "cislo" },
["tex"] = "\\frac{21}{221}",
["y"] = 21,
["z"] = 221 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{6}{2\\frac{3}{7}}}{2 \\cdot 13}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.48, bodu=60, $$\frac{13}{-11 \cdot 2\frac{2}{4}} - (-5) + 4\frac{5}{5}=\textcolor{white}{9\frac{29}{55}}$$return {
["body"] = 60,
["id"] = "a3L0C1_0402_0529",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 9.5272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 524,
["jmenovatel"] = 55 },
["render"] = "\\frac{524}{55}",
["typ"] = "cislo" },
["tex"] = "9\\frac{29}{55}",
["x"] = 9,
["y"] = 29,
["z"] = 55 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "\\frac{13}{-11 \\cdot 2\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-11 \\cdot 2\\frac{2}{4}} - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{5}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-11 \\cdot 2\\frac{2}{4}} - (-5) + 4\\frac{5}{5}",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.49, bodu=85, $$7 \cdot 1\frac{5}{9} \cdot \frac{13}{1\frac{1}{8}}=\textcolor{white}{125\frac{67}{81}}$$return {
["body"] = 85,
["id"] = "XkaPHx_0402_0529",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 125.82716049383,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10192,
["jmenovatel"] = 81 },
["render"] = "\\frac{10192}{81}",
["typ"] = "cislo" },
["tex"] = "125\\frac{67}{81}",
["x"] = 125,
["y"] = 67,
["z"] = 81 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.49",
["zadani"] = {
["c1"] = {
["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 \\cdot 1\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{1\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot 1\\frac{5}{9} \\cdot \\frac{13}{1\\frac{1}{8}}",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.5, bodu=86, $$\frac{2\frac{4}{9} + 2\frac{4}{7} + (-7) - (-8)}{14 - (-7)}=\textcolor{white}{\frac{379}{1323}}$$return {
["body"] = 86,
["id"] = "0oNS79_0402_0529",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 0.286470143613,
["objekt"] = {
["hodnota"] = {
["citatel"] = 379,
["jmenovatel"] = 1323 },
["render"] = "\\frac{379}{1323}",
["typ"] = "cislo" },
["tex"] = "\\frac{379}{1323}",
["y"] = 379,
["z"] = 1323 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} + (-7) - (-8)",
["typ"] = "minus" },
["render"] = "2\\frac{4}{9} + 2\\frac{4}{7} + (-7) - (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "14 - (-7)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{9} + 2\\frac{4}{7} + (-7) - (-8)}{14 - (-7)}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.51, bodu=115, $$\frac{\frac{3\frac{4}{6}}{4\frac{5}{10}}}{\frac{2\frac{1}{6}}{-9}}=\textcolor{white}{-3\frac{5}{13}}$$return {
["body"] = 115,
["id"] = "KxofdJ_0402_0529",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -3.3846153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44,
["jmenovatel"] = 13 },
["render"] = "\\frac{1188}{-351}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{5}{13}",
["x"] = -3,
["y"] = 5,
["z"] = 13 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{6}}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{3\\frac{4}{6}}{4\\frac{5}{10}}}{\\frac{2\\frac{1}{6}}{-9}}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.52, bodu=43, $$\frac{-13}{12 - 4\frac{4}{4} + (-8 \cdot 13)}=\textcolor{white}{\frac{13}{97}}$$return {
["body"] = 43,
["id"] = "SsUZcs_0402_0529",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 0.1340206185567,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 97 },
["render"] = "\\frac{-13}{-97}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{97}",
["y"] = 13,
["z"] = 97 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{4}{4}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{4}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 13",
["typ"] = "krat" },
["render"] = "12 - 4\\frac{4}{4} + (-8 \\cdot 13)",
["typ"] = "plus" },
["render"] = "\\frac{-13}{12 - 4\\frac{4}{4} + (-8 \\cdot 13)}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.53, bodu=118, $$\frac{-11}{(3\frac{2}{5} - (3\frac{2}{5} + 4)) \cdot 4\frac{1}{3}}=\textcolor{white}{\frac{33}{52}}$$return {
["body"] = 118,
["id"] = "QOLJ5j_0402_0529",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 0.63461538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 52 },
["render"] = "\\frac{-33}{-52}",
["typ"] = "cislo" },
["tex"] = "\\frac{33}{52}",
["y"] = 33,
["z"] = 52 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{5} + 4",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{5} + 4)",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{5} - (3\\frac{2}{5} + 4)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{5} - (3\\frac{2}{5} + 4))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{5} - (3\\frac{2}{5} + 4)) \\cdot 4\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "\\frac{-11}{(3\\frac{2}{5} - (3\\frac{2}{5} + 4)) \\cdot 4\\frac{1}{3}}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.54, bodu=92, $$\frac{-13 + (-7)}{2\frac{4}{8}} - 4\frac{1}{5} \cdot -11=\textcolor{white}{38{,}2}$$return {
["body"] = 92,
["id"] = "KvhZpi_0402_0529",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 38.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 191,
["jmenovatel"] = 5 },
["render"] = "\\frac{191}{5}",
["typ"] = "cislo" },
["tex"] = "38\\frac{1}{5}",
["tex_float"] = "38{,}2",
["x"] = 38,
["y"] = 1,
["z"] = 5 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 + (-7)}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{-13 + (-7)}{2\\frac{4}{8}} - 4\\frac{1}{5} \\cdot -11",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.55, bodu=68, $$13 + 3\frac{4}{8} \cdot -11 - (-9 - 9)=\textcolor{white}{-7{,}5}$$return {
["body"] = 68,
["id"] = "TdV9OW_0402_0529",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -7.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 2 },
["render"] = "\\frac{-15}{2}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{2}",
["tex_float"] = "-7{,}5",
["x"] = -7,
["y"] = 1,
["z"] = 2 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot -11",
["typ"] = "krat" },
["render"] = "13 + 3\\frac{4}{8} \\cdot -11",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-9 - 9",
["typ"] = "minus" },
["render"] = "(-9 - 9)",
["typ"] = "zavorka" },
["render"] = "13 + 3\\frac{4}{8} \\cdot -11 - (-9 - 9)",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.56, bodu=94, $$\frac{3\frac{2}{6} - 19}{\frac{4\frac{2}{7}}{-9}} \cdot 7=\textcolor{white}{230{,}3}$$return {
["body"] = 94,
["id"] = "96afeS_0402_0529",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 230.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2303,
["jmenovatel"] = 10 },
["render"] = "\\frac{2303}{10}",
["typ"] = "cislo" },
["tex"] = "230\\frac{3}{10}",
["tex_float"] = "230{,}3",
["x"] = 230,
["y"] = 3,
["z"] = 10 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} - 19",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{6} - 19}{\\frac{4\\frac{2}{7}}{-9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6} - 19}{\\frac{4\\frac{2}{7}}{-9}} \\cdot 7",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.57, bodu=95, $$\frac{\frac{6 + 3\frac{2}{5}}{2\frac{5}{7}}}{-10 \cdot -13}=\textcolor{white}{\frac{329}{12350}}$$return {
["body"] = 95,
["id"] = "Y8sy0m_0402_0529",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 0.02663967611336,
["objekt"] = {
["hodnota"] = {
["citatel"] = 329,
["jmenovatel"] = 12350 },
["render"] = "\\frac{329}{12350}",
["typ"] = "cislo" },
["tex"] = "\\frac{329}{12350}",
["y"] = 329,
["z"] = 12350 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "6 + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{6 + 3\\frac{2}{5}}{2\\frac{5}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{6 + 3\\frac{2}{5}}{2\\frac{5}{7}}}{-10 \\cdot -13}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.58, bodu=97, $$\frac{1\frac{3}{9} \cdot 4\frac{2}{5} - \frac{8}{6}}{-10}=\textcolor{white}{-\frac{34}{75}}$$return {
["body"] = 97,
["id"] = "uh7BDM_0402_0529",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -0.45333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34,
["jmenovatel"] = 75 },
["render"] = "\\frac{68}{-150}",
["typ"] = "cislo" },
["tex"] = "-\\frac{34}{75}",
["y"] = -34,
["z"] = 75 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} \\cdot 4\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{9} \\cdot 4\\frac{2}{5} - \\frac{8}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9} \\cdot 4\\frac{2}{5} - \\frac{8}{6}}{-10}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.59, bodu=71, $$\frac{\frac{-10}{(\frac{-19}{10})^2}}{6}=\textcolor{white}{-\frac{500}{1083}}$$return {
["body"] = 71,
["id"] = "6Myzwm_0402_0529",
["obtiznost"] = 0.7744,
["reseni"] = {
["float"] = -0.46168051708218,
["objekt"] = {
["hodnota"] = {
["citatel"] = -500,
["jmenovatel"] = 1083 },
["render"] = "\\frac{-1000}{2166}",
["typ"] = "cislo" },
["tex"] = "-\\frac{500}{1083}",
["y"] = -500,
["z"] = 1083 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-19}{10})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-10}{(\\frac{-19}{10})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{(\\frac{-19}{10})^2}}{6}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.6, bodu=100, $$\frac{-15}{3\frac{4}{12} - 2\frac{4}{6}} + 18 - (-10 + (-12))=\textcolor{white}{17{,}5}$$return {
["body"] = 100,
["id"] = "zTcnEi_0402_0529",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 17.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 2 },
["render"] = "\\frac{35}{2}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1}{2}",
["tex_float"] = "17{,}5",
["x"] = 17,
["y"] = 1,
["z"] = 2 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} - 2\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "\\frac{-15}{3\\frac{4}{12} - 2\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-10 + (-12)",
["typ"] = "plus" },
["render"] = "(-10 + (-12))",
["typ"] = "zavorka" },
["render"] = "18 - (-10 + (-12))",
["typ"] = "minus" },
["render"] = "\\frac{-15}{3\\frac{4}{12} - 2\\frac{4}{6}} + 18 - (-10 + (-12))",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.61, bodu=82, $$\frac{\frac{16}{-11}}{(\frac{-7}{9})^2} + 3\frac{3}{8}=\textcolor{white}{\frac{4185}{4312}}$$return {
["body"] = 82,
["id"] = "tPmBWr_0402_0529",
["obtiznost"] = 0.862,
["reseni"] = {
["float"] = 0.97054730983302,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4185,
["jmenovatel"] = 4312 },
["render"] = "\\frac{4185}{4312}",
["typ"] = "cislo" },
["tex"] = "\\frac{4185}{4312}",
["y"] = 4185,
["z"] = 4312 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{16}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{16}{-11}}{(\\frac{-7}{9})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{16}{-11}}{(\\frac{-7}{9})^2} + 3\\frac{3}{8}",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.62, bodu=131, $$10 \cdot -10 + 1\frac{3}{4} \cdot \frac{2\frac{4}{12}}{1\frac{1}{7}}=\textcolor{white}{-96\frac{41}{96}}$$return {
["body"] = 131,
["id"] = "f6UF2G_0402_0529",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -96.427083333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9257,
["jmenovatel"] = 96 },
["render"] = "\\frac{-9257}{96}",
["typ"] = "cislo" },
["tex"] = "-96\\frac{41}{96}",
["x"] = -96,
["y"] = 41,
["z"] = 96 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{12}}{1\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{4} \\cdot \\frac{2\\frac{4}{12}}{1\\frac{1}{7}}",
["typ"] = "krat" },
["render"] = "10 \\cdot -10 + 1\\frac{3}{4} \\cdot \\frac{2\\frac{4}{12}}{1\\frac{1}{7}}",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.63, bodu=78, $$(\frac{-6}{7 \cdot -9} - (4\frac{1}{6} + 14)) \cdot -8=\textcolor{white}{144\frac{4}{7}}$$return {
["body"] = 78,
["id"] = "eRGhiS_0402_0529",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 144.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1012,
["jmenovatel"] = 7 },
["render"] = "\\frac{2024}{14}",
["typ"] = "cislo" },
["tex"] = "144\\frac{4}{7}",
["x"] = 144,
["y"] = 4,
["z"] = 7 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{-6}{7 \\cdot -9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} + 14",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{6} + 14)",
["typ"] = "zavorka" },
["render"] = "\\frac{-6}{7 \\cdot -9} - (4\\frac{1}{6} + 14)",
["typ"] = "minus" },
["render"] = "(\\frac{-6}{7 \\cdot -9} - (4\\frac{1}{6} + 14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{7 \\cdot -9} - (4\\frac{1}{6} + 14)) \\cdot -8",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.64, bodu=134, $$4\frac{2}{5} + 3\frac{5}{10} \cdot 3\frac{4}{8} \cdot 9 \cdot 8=\textcolor{white}{886{,}4}$$return {
["body"] = 134,
["id"] = "xkoAjH_0402_0529",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 886.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4432,
["jmenovatel"] = 5 },
["render"] = "\\frac{4432}{5}",
["typ"] = "cislo" },
["tex"] = "886\\frac{2}{5}",
["tex_float"] = "886{,}4",
["x"] = 886,
["y"] = 2,
["z"] = 5 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 9",
["typ"] = "krat" },
["render"] = "3\\frac{5}{10} \\cdot 3\\frac{4}{8} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 3\\frac{4}{8} \\cdot 9 \\cdot 8",
["typ"] = "krat" },
["render"] = "4\\frac{2}{5} + 3\\frac{5}{10} \\cdot 3\\frac{4}{8} \\cdot 9 \\cdot 8",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.65, bodu=80, $$\frac{-8 - (10 \cdot -10 + (-14))}{3\frac{5}{10} + (-12)}=\textcolor{white}{-12\frac{8}{17}}$$return {
["body"] = 80,
["id"] = "9QRjLY_0402_0529",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -12.470588235294,
["objekt"] = {
["hodnota"] = {
["citatel"] = -212,
["jmenovatel"] = 17 },
["render"] = "\\frac{212}{-17}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{8}{17}",
["x"] = -12,
["y"] = 8,
["z"] = 17 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "10 \\cdot -10 + (-14)",
["typ"] = "plus" },
["render"] = "(10 \\cdot -10 + (-14))",
["typ"] = "zavorka" },
["render"] = "-8 - (10 \\cdot -10 + (-14))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{-8 - (10 \\cdot -10 + (-14))}{3\\frac{5}{10} + (-12)}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.66, bodu=108, $$\frac{\frac{11}{6 + 3\frac{1}{5}}}{13 + 4\frac{1}{6} \cdot -4}=\textcolor{white}{-\frac{15}{46}}$$return {
["body"] = 108,
["id"] = "v1NW6n_0402_0529",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -0.32608695652174,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 46 },
["render"] = "\\frac{165}{-506}",
["typ"] = "cislo" },
["tex"] = "-\\frac{15}{46}",
["y"] = -15,
["z"] = 46 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "6 + 3\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{11}{6 + 3\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} \\cdot -4",
["typ"] = "krat" },
["render"] = "13 + 4\\frac{1}{6} \\cdot -4",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{11}{6 + 3\\frac{1}{5}}}{13 + 4\\frac{1}{6} \\cdot -4}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.67, bodu=193, $$9 + (-11 \cdot \frac{(1\frac{2}{10} - 2\frac{2}{8})^2}{1\frac{1}{8}}) + (-15)=\textcolor{white}{-16{,}78}$$return {
["body"] = 193,
["id"] = "J1z5mF_0402_0529",
["obtiznost"] = 1.6064,
["reseni"] = {
["float"] = -16.78,
["objekt"] = {
["hodnota"] = {
["citatel"] = -839,
["jmenovatel"] = 50 },
["render"] = "\\frac{-839}{50}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{39}{50}",
["tex_float"] = "-16{,}78",
["x"] = -16,
["y"] = 39,
["z"] = 50 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{10} - 2\\frac{2}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{2}{10} - 2\\frac{2}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{2}{10} - 2\\frac{2}{8})^2}{1\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot \\frac{(1\\frac{2}{10} - 2\\frac{2}{8})^2}{1\\frac{1}{8}}",
["typ"] = "krat" },
["render"] = "9 + (-11 \\cdot \\frac{(1\\frac{2}{10} - 2\\frac{2}{8})^2}{1\\frac{1}{8}})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "9 + (-11 \\cdot \\frac{(1\\frac{2}{10} - 2\\frac{2}{8})^2}{1\\frac{1}{8}}) + (-15)",
["typ"] = "plus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.68, bodu=84, $$(\frac{5}{1\frac{5}{8} + (-8)} - 10) \cdot (-8 + (-17))=\textcolor{white}{269\frac{31}{51}}$$return {
["body"] = 84,
["id"] = "0NWt4p_0402_0529",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 269.60784313725,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13750,
["jmenovatel"] = 51 },
["render"] = "\\frac{13750}{51}",
["typ"] = "cislo" },
["tex"] = "269\\frac{31}{51}",
["x"] = 269,
["y"] = 31,
["z"] = 51 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.68",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + (-8)",
["typ"] = "plus" },
["render"] = "\\frac{5}{1\\frac{5}{8} + (-8)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{5}{1\\frac{5}{8} + (-8)} - 10",
["typ"] = "minus" },
["render"] = "(\\frac{5}{1\\frac{5}{8} + (-8)} - 10)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-8 + (-17)",
["typ"] = "plus" },
["render"] = "(-8 + (-17))",
["typ"] = "zavorka" },
["render"] = "(\\frac{5}{1\\frac{5}{8} + (-8)} - 10) \\cdot (-8 + (-17))",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.69, bodu=109, $$(\frac{-7 \cdot -8}{\frac{12}{2\frac{3}{12}}})^2 \cdot -14=\textcolor{white}{-1543{,}5}$$return {
["body"] = 109,
["id"] = "cGBxiq_0402_0529",
["obtiznost"] = 1.068,
["reseni"] = {
["float"] = -1543.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3087,
["jmenovatel"] = 2 },
["render"] = "\\frac{-6174}{4}",
["typ"] = "cislo" },
["tex"] = "-1543\\frac{1}{2}",
["tex_float"] = "-1543{,}5",
["x"] = -1543,
["y"] = 1,
["z"] = 2 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.69",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7 \\cdot -8}{\\frac{12}{2\\frac{3}{12}}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7 \\cdot -8}{\\frac{12}{2\\frac{3}{12}}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(\\frac{-7 \\cdot -8}{\\frac{12}{2\\frac{3}{12}}})^2 \\cdot -14",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.7, bodu=143, $$\frac{9}{\frac{-10}{3\frac{1}{3}}} + (-18 - 3\frac{2}{6}) - 2\frac{5}{11}=\textcolor{white}{-26\frac{26}{33}}$$return {
["body"] = 143,
["id"] = "WLeiSO_0402_0529",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -26.787878787879,
["objekt"] = {
["hodnota"] = {
["citatel"] = -884,
["jmenovatel"] = 33 },
["render"] = "\\frac{-884}{33}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{26}{33}",
["x"] = -26,
["y"] = 26,
["z"] = 33 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{-10}{3\\frac{1}{3}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-18 - 3\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "\\frac{9}{\\frac{-10}{3\\frac{1}{3}}} + (-18 - 3\\frac{2}{6})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{\\frac{-10}{3\\frac{1}{3}}} + (-18 - 3\\frac{2}{6}) - 2\\frac{5}{11}",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.71, bodu=115, $$4\frac{4}{9} - 2\frac{5}{11} \cdot -15 \cdot (-16 - (-17))=\textcolor{white}{41\frac{26}{99}}$$return {
["body"] = 115,
["id"] = "yLAIHo_0402_0529",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 41.262626262626,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4085,
["jmenovatel"] = 99 },
["render"] = "\\frac{4085}{99}",
["typ"] = "cislo" },
["tex"] = "41\\frac{26}{99}",
["x"] = 41,
["y"] = 26,
["z"] = 99 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-16 - (-17)",
["typ"] = "minus" },
["render"] = "(-16 - (-17))",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (-16 - (-17))",
["typ"] = "krat" },
["render"] = "2\\frac{5}{11} \\cdot -15 \\cdot (-16 - (-17))",
["typ"] = "krat" },
["render"] = "4\\frac{4}{9} - 2\\frac{5}{11} \\cdot -15 \\cdot (-16 - (-17))",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.72, bodu=116, $$\frac{14}{-11} - (-8 - 1\frac{5}{11} \cdot 3\frac{4}{9})=\textcolor{white}{11\frac{73}{99}}$$return {
["body"] = 116,
["id"] = "2xJN58_0402_0529",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 11.737373737374,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1162,
["jmenovatel"] = 99 },
["render"] = "\\frac{12782}{1089}",
["typ"] = "cislo" },
["tex"] = "11\\frac{73}{99}",
["x"] = 11,
["y"] = 73,
["z"] = 99 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.72",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "-8 - 1\\frac{5}{11} \\cdot 3\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(-8 - 1\\frac{5}{11} \\cdot 3\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{14}{-11} - (-8 - 1\\frac{5}{11} \\cdot 3\\frac{4}{9})",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.73, bodu=180, $$(2\frac{4}{10} + 1\frac{2}{5} + \frac{12}{1\frac{2}{5}}) \cdot (-8 + 3\frac{1}{7})=\textcolor{white}{-60\frac{22}{245}}$$return {
["body"] = 180,
["id"] = "EBdu4h_0402_0529",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -60.089795918367,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14722,
["jmenovatel"] = 245 },
["render"] = "\\frac{-14722}{245}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{22}{245}",
["x"] = -60,
["y"] = 22,
["z"] = 245 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.73",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{5} + \\frac{12}{1\\frac{2}{5}}",
["typ"] = "plus" },
["render"] = "2\\frac{4}{10} + 1\\frac{2}{5} + \\frac{12}{1\\frac{2}{5}}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{10} + 1\\frac{2}{5} + \\frac{12}{1\\frac{2}{5}})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-8 + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(-8 + 3\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{4}{10} + 1\\frac{2}{5} + \\frac{12}{1\\frac{2}{5}}) \\cdot (-8 + 3\\frac{1}{7})",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.74, bodu=73, $$(-11 + (\frac{-3}{-11})^2) \cdot \frac{16}{9}=\textcolor{white}{-19\frac{461}{1089}}$$return {
["body"] = 73,
["id"] = "szeXii_0402_0529",
["obtiznost"] = 0.792,
["reseni"] = {
["float"] = -19.423324150597,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21152,
["jmenovatel"] = 1089 },
["render"] = "\\frac{-21152}{1089}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{461}{1089}",
["x"] = -19,
["y"] = 461,
["z"] = 1089 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-3}{-11})^2",
["typ"] = "mocnina" },
["render"] = "-11 + (\\frac{-3}{-11})^2",
["typ"] = "plus" },
["render"] = "(-11 + (\\frac{-3}{-11})^2)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{16}{9}",
["typ"] = "lomeno" },
["render"] = "(-11 + (\\frac{-3}{-11})^2) \\cdot \\frac{16}{9}",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.75, bodu=93, $$4\frac{4}{7} \cdot (-9 - (\frac{-9}{4} - 10))=\textcolor{white}{14\frac{6}{7}}$$return {
["body"] = 93,
["id"] = "bwplK7_0402_0529",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 14.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 104,
["jmenovatel"] = 7 },
["render"] = "\\frac{416}{28}",
["typ"] = "cislo" },
["tex"] = "14\\frac{6}{7}",
["x"] = 14,
["y"] = 6,
["z"] = 7 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4} - 10",
["typ"] = "minus" },
["render"] = "(\\frac{-9}{4} - 10)",
["typ"] = "zavorka" },
["render"] = "-9 - (\\frac{-9}{4} - 10)",
["typ"] = "minus" },
["render"] = "(-9 - (\\frac{-9}{4} - 10))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{7} \\cdot (-9 - (\\frac{-9}{4} - 10))",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.76, bodu=122, $$\frac{4\frac{4}{8} \cdot 14 - 1\frac{3}{10}}{(\frac{12}{12})^3}=\textcolor{white}{61{,}7}$$return {
["body"] = 122,
["id"] = "yf8CH9_0402_0529",
["obtiznost"] = 1.1608,
["reseni"] = {
["float"] = 61.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 617,
["jmenovatel"] = 10 },
["render"] = "\\frac{617}{10}",
["typ"] = "cislo" },
["tex"] = "61\\frac{7}{10}",
["tex_float"] = "61{,}7",
["x"] = 61,
["y"] = 7,
["z"] = 10 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 14 - 1\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{12}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{12})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{4}{8} \\cdot 14 - 1\\frac{3}{10}}{(\\frac{12}{12})^3}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.77, bodu=163, $$\frac{-15 - 1\frac{3}{6} + 18 + (-7)}{(10 + \frac{-12}{1\frac{2}{8}})^4}=\textcolor{white}{-214\frac{27}{32}}$$return {
["body"] = 163,
["id"] = "NJR2vj_0402_0529",
["obtiznost"] = 1.4264,
["reseni"] = {
["float"] = -214.84375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6875,
["jmenovatel"] = 32 },
["render"] = "\\frac{-6875}{32}",
["typ"] = "cislo" },
["tex"] = "-214\\frac{27}{32}",
["x"] = -214,
["y"] = 27,
["z"] = 32 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-15 - 1\\frac{3}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-15 - 1\\frac{3}{6} + 18",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-15 - 1\\frac{3}{6} + 18 + (-7)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{1\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{-12}{1\\frac{2}{8}}",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(10 + \\frac{-12}{1\\frac{2}{8}})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-15 - 1\\frac{3}{6} + 18 + (-7)}{(10 + \\frac{-12}{1\\frac{2}{8}})^4}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.78, bodu=97, $$\frac{13 \cdot (18 + 10)}{11 + (-21 \cdot 4\frac{3}{6})}=\textcolor{white}{-4\frac{60}{167}}$$return {
["body"] = 97,
["id"] = "2rUBla_0402_0529",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -4.3592814371257,
["objekt"] = {
["hodnota"] = {
["citatel"] = -728,
["jmenovatel"] = 167 },
["render"] = "\\frac{728}{-167}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{60}{167}",
["x"] = -4,
["y"] = 60,
["z"] = 167 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "18 + 10",
["typ"] = "plus" },
["render"] = "(18 + 10)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (18 + 10)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "11 + (-21 \\cdot 4\\frac{3}{6})",
["typ"] = "plus" },
["render"] = "\\frac{13 \\cdot (18 + 10)}{11 + (-21 \\cdot 4\\frac{3}{6})}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.79, bodu=140, $$\frac{8}{3\frac{5}{13} \cdot 1\frac{4}{12} \cdot (-8 + (-7))^2}=\textcolor{white}{\frac{13}{1650}}$$return {
["body"] = 140,
["id"] = "VmrZ8g_0402_0529",
["obtiznost"] = 1.2804,
["reseni"] = {
["float"] = 0.0078787878787879,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1650 },
["render"] = "\\frac{104}{13200}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{1650}",
["y"] = 13,
["z"] = 1650 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{13} \\cdot 1\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-8 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + (-7))^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{5}{13} \\cdot 1\\frac{4}{12} \\cdot (-8 + (-7))^2",
["typ"] = "krat" },
["render"] = "\\frac{8}{3\\frac{5}{13} \\cdot 1\\frac{4}{12} \\cdot (-8 + (-7))^2}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.8, bodu=129, $$1\frac{2}{10} \cdot \frac{(-5 + 13)^3}{15 - (-11 \cdot 13)}=\textcolor{white}{3\frac{351}{395}}$$return {
["body"] = 129,
["id"] = "q7uldz_0402_0529",
["obtiznost"] = 1.2052,
["reseni"] = {
["float"] = 3.8886075949367,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1536,
["jmenovatel"] = 395 },
["render"] = "\\frac{1536}{395}",
["typ"] = "cislo" },
["tex"] = "3\\frac{351}{395}",
["x"] = 3,
["y"] = 351,
["z"] = 395 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-5 + 13",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-5 + 13)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 13",
["typ"] = "krat" },
["render"] = "15 - (-11 \\cdot 13)",
["typ"] = "minus" },
["render"] = "\\frac{(-5 + 13)^3}{15 - (-11 \\cdot 13)}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{10} \\cdot \\frac{(-5 + 13)^3}{15 - (-11 \\cdot 13)}",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.81, bodu=137, $$\frac{4\frac{2}{10}}{\frac{19 \cdot 15 + 3\frac{5}{14}}{16 + (-13 + 8)^3}}=\textcolor{white}{-1\frac{11861}{20185}}$$return {
["body"] = 137,
["id"] = "7Ugj3p_0402_0529",
["obtiznost"] = 1.2604,
["reseni"] = {
["float"] = -1.5876145652712,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32046,
["jmenovatel"] = 20185 },
["render"] = "\\frac{32046}{-20185}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{11861}{20185}",
["x"] = -1,
["y"] = 11861,
["z"] = 20185 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "19 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "19 \\cdot 15 + 3\\frac{5}{14}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-13 + 8",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 8)^3",
["typ"] = "mocnina" },
["render"] = "16 + (-13 + 8)^3",
["typ"] = "plus" },
["render"] = "\\frac{19 \\cdot 15 + 3\\frac{5}{14}}{16 + (-13 + 8)^3}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{10}}{\\frac{19 \\cdot 15 + 3\\frac{5}{14}}{16 + (-13 + 8)^3}}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.82, bodu=201, $$4\frac{4}{8} - 3\frac{2}{7} + 9 - (\frac{-6}{(\frac{-15}{3\frac{2}{6}})^2} + 2\frac{3}{12})=\textcolor{white}{8\frac{197}{756}}$$return {
["body"] = 201,
["id"] = "hsRODr_0402_0529",
["obtiznost"] = 1.654,
["reseni"] = {
["float"] = 8.260582010582,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6245,
["jmenovatel"] = 756 },
["render"] = "\\frac{12490}{1512}",
["typ"] = "cislo" },
["tex"] = "8\\frac{197}{756}",
["x"] = 8,
["y"] = 197,
["z"] = 756 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - 3\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - 3\\frac{2}{7} + 9",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-15}{3\\frac{2}{6}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-6}{(\\frac{-15}{3\\frac{2}{6}})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{(\\frac{-15}{3\\frac{2}{6}})^2} + 2\\frac{3}{12}",
["typ"] = "plus" },
["render"] = "(\\frac{-6}{(\\frac{-15}{3\\frac{2}{6}})^2} + 2\\frac{3}{12})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{8} - 3\\frac{2}{7} + 9 - (\\frac{-6}{(\\frac{-15}{3\\frac{2}{6}})^2} + 2\\frac{3}{12})",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.83, bodu=132, $$\frac{-12 + 4\frac{3}{11}}{(18 + (-12) - (-19 + 1\frac{1}{9})) \cdot 11}=\textcolor{white}{-\frac{153}{5203}}$$return {
["body"] = 132,
["id"] = "WCm5O6_0402_0529",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -0.029406111858543,
["objekt"] = {
["hodnota"] = {
["citatel"] = -153,
["jmenovatel"] = 5203 },
["render"] = "\\frac{-765}{26015}",
["typ"] = "cislo" },
["tex"] = "-\\frac{153}{5203}",
["y"] = -153,
["z"] = 5203 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "-12 + 4\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["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"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-19 + 1\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(-19 + 1\\frac{1}{9})",
["typ"] = "zavorka" },
["render"] = "18 + (-12) - (-19 + 1\\frac{1}{9})",
["typ"] = "minus" },
["render"] = "(18 + (-12) - (-19 + 1\\frac{1}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(18 + (-12) - (-19 + 1\\frac{1}{9})) \\cdot 11",
["typ"] = "krat" },
["render"] = "\\frac{-12 + 4\\frac{3}{11}}{(18 + (-12) - (-19 + 1\\frac{1}{9})) \\cdot 11}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.84, bodu=134, $$\frac{\frac{18 + 1\frac{1}{9}}{\frac{-12}{-13}} + 22}{-16 - 1\frac{1}{6}}=\textcolor{white}{-2\frac{452}{927}}$$return {
["body"] = 134,
["id"] = "SuvYjR_0402_0529",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -2.487594390507,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2306,
["jmenovatel"] = 927 },
["render"] = "\\frac{6918}{-2781}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{452}{927}",
["x"] = -2,
["y"] = 452,
["z"] = 927 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "18 + 1\\frac{1}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-13}",
["typ"] = "lomeno" },
["render"] = "\\frac{18 + 1\\frac{1}{9}}{\\frac{-12}{-13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{18 + 1\\frac{1}{9}}{\\frac{-12}{-13}} + 22",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-16 - 1\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{18 + 1\\frac{1}{9}}{\\frac{-12}{-13}} + 22}{-16 - 1\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.85, bodu=200, $$\frac{\frac{3\frac{2}{8}}{\frac{2\frac{4}{11}}{2\frac{1}{9} + \frac{-14}{11}}}}{2\frac{2}{5}}=\textcolor{white}{\frac{415}{864}}$$return {
["body"] = 200,
["id"] = "A2rTLb_0402_0529",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = 0.48032407407407,
["objekt"] = {
["hodnota"] = {
["citatel"] = 415,
["jmenovatel"] = 864 },
["render"] = "\\frac{415}{864}",
["typ"] = "cislo" },
["tex"] = "\\frac{415}{864}",
["y"] = 415,
["z"] = 864 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["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"] = "2\\frac{1}{9} + \\frac{-14}{11}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{11}}{2\\frac{1}{9} + \\frac{-14}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{8}}{\\frac{2\\frac{4}{11}}{2\\frac{1}{9} + \\frac{-14}{11}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{2}{8}}{\\frac{2\\frac{4}{11}}{2\\frac{1}{9} + \\frac{-14}{11}}}}{2\\frac{2}{5}}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.86, bodu=181, $$\frac{\frac{\frac{4\frac{4}{8}}{\frac{2\frac{5}{6}}{3\frac{4}{9}}}}{6}}{(6 - (-8))^2}=\textcolor{white}{\frac{31}{6664}}$$return {
["body"] = 181,
["id"] = "u12H3y_0402_0529",
["obtiznost"] = 1.5388,
["reseni"] = {
["float"] = 0.0046518607442977,
["objekt"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 6664 },
["render"] = "\\frac{31}{6664}",
["typ"] = "cislo" },
["tex"] = "\\frac{31}{6664}",
["y"] = 31,
["z"] = 6664 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{6}}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{4}{8}}{\\frac{2\\frac{5}{6}}{3\\frac{4}{9}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{4}{8}}{\\frac{2\\frac{5}{6}}{3\\frac{4}{9}}}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "6 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - (-8))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{\\frac{4\\frac{4}{8}}{\\frac{2\\frac{5}{6}}{3\\frac{4}{9}}}}{6}}{(6 - (-8))^2}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.87, bodu=278, $$\frac{4\frac{2}{8} \cdot 1\frac{5}{10} \cdot 1\frac{3}{10} - 4\frac{4}{12}}{2\frac{1}{4} \cdot 3\frac{5}{12}}=\textcolor{white}{\frac{949}{1845}}$$return {
["body"] = 278,
["id"] = "zs76hW_0402_0529",
["obtiznost"] = 2.07,
["reseni"] = {
["float"] = 0.51436314363144,
["objekt"] = {
["hodnota"] = {
["citatel"] = 949,
["jmenovatel"] = 1845 },
["render"] = "\\frac{15184}{29520}",
["typ"] = "cislo" },
["tex"] = "\\frac{949}{1845}",
["y"] = 949,
["z"] = 1845 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" },
["render"] = "4\\frac{2}{8} \\cdot 1\\frac{5}{10} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} \\cdot 1\\frac{5}{10} \\cdot 1\\frac{3}{10} - 4\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} \\cdot 3\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{8} \\cdot 1\\frac{5}{10} \\cdot 1\\frac{3}{10} - 4\\frac{4}{12}}{2\\frac{1}{4} \\cdot 3\\frac{5}{12}}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.88, bodu=205, $$\frac{2\frac{2}{6}}{14} \cdot 2\frac{3}{13} \cdot 18 \cdot (3\frac{4}{10} - 1\frac{4}{11})=\textcolor{white}{13\frac{449}{715}}$$return {
["body"] = 205,
["id"] = "EOD2ur_0402_0529",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = 13.627972027972,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9744,
["jmenovatel"] = 715 },
["render"] = "\\frac{9744}{715}",
["typ"] = "cislo" },
["tex"] = "13\\frac{449}{715}",
["x"] = 13,
["y"] = 449,
["z"] = 715 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6}}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{13} \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{6}}{14} \\cdot 2\\frac{3}{13} \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - 1\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{10} - 1\\frac{4}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{2}{6}}{14} \\cdot 2\\frac{3}{13} \\cdot 18 \\cdot (3\\frac{4}{10} - 1\\frac{4}{11})",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.89, bodu=155, $$\frac{1\frac{3}{10} \cdot \frac{-13}{(-22 - (-16))^3}}{3\frac{2}{10} - 8}=\textcolor{white}{-\frac{169}{10368}}$$return {
["body"] = 155,
["id"] = "wFAjft_0402_0529",
["obtiznost"] = 1.3768,
["reseni"] = {
["float"] = -0.016300154320988,
["objekt"] = {
["hodnota"] = {
["citatel"] = -169,
["jmenovatel"] = 10368 },
["render"] = "\\frac{845}{-51840}",
["typ"] = "cislo" },
["tex"] = "-\\frac{169}{10368}",
["y"] = -169,
["z"] = 10368 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-22 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-22 - (-16))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-13}{(-22 - (-16))^3}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{10} \\cdot \\frac{-13}{(-22 - (-16))^3}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - 8",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{10} \\cdot \\frac{-13}{(-22 - (-16))^3}}{3\\frac{2}{10} - 8}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.9, bodu=190, $$\frac{2\frac{1}{9} - (-15)}{((2\frac{1}{8} - 13 - (-12)) \cdot -24)^2}=\textcolor{white}{\frac{154}{6561}}$$return {
["body"] = 190,
["id"] = "u6a0jc_0402_0529",
["obtiznost"] = 1.592,
["reseni"] = {
["float"] = 0.023472031702484,
["objekt"] = {
["hodnota"] = {
["citatel"] = 154,
["jmenovatel"] = 6561 },
["render"] = "\\frac{154}{6561}",
["typ"] = "cislo" },
["tex"] = "\\frac{154}{6561}",
["y"] = 154,
["z"] = 6561 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} - (-15)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} - 13 - (-12)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{8} - 13 - (-12))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{8} - 13 - (-12)) \\cdot -24",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((2\\frac{1}{8} - 13 - (-12)) \\cdot -24)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{1}{9} - (-15)}{((2\\frac{1}{8} - 13 - (-12)) \\cdot -24)^2}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.91, bodu=144, $$12 \cdot -11 - (-13 \cdot 4\frac{2}{10}) - (-6 + 1\frac{4}{9})=\textcolor{white}{-72\frac{38}{45}}$$return {
["body"] = 144,
["id"] = "coT5Ax_0402_0529",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -72.844444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3278,
["jmenovatel"] = 45 },
["render"] = "\\frac{-3278}{45}",
["typ"] = "cislo" },
["tex"] = "-72\\frac{38}{45}",
["x"] = -72,
["y"] = 38,
["z"] = 45 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "12 \\cdot -11 - (-13 \\cdot 4\\frac{2}{10})",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-6 + 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(-6 + 1\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "12 \\cdot -11 - (-13 \\cdot 4\\frac{2}{10}) - (-6 + 1\\frac{4}{9})",
["typ"] = "minus" } }
seed: QyjHaZNAokoIxyFEf5dD_0.92, bodu=116, $$\frac{\frac{5}{4\frac{3}{10}}}{\frac{-9}{15} \cdot -11}=\textcolor{white}{\frac{250}{1419}}$$return {
["body"] = 116,
["id"] = "3PLB6b_0402_0529",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 0.17618040873855,
["objekt"] = {
["hodnota"] = {
["citatel"] = 250,
["jmenovatel"] = 1419 },
["render"] = "\\frac{250}{1419}",
["typ"] = "cislo" },
["tex"] = "\\frac{250}{1419}",
["y"] = 250,
["z"] = 1419 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{4\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15} \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{5}{4\\frac{3}{10}}}{\\frac{-9}{15} \\cdot -11}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.93, bodu=214, $$\frac{3\frac{4}{9}}{\frac{4\frac{5}{12}}{\frac{4\frac{4}{7}}{15}}} \cdot 4\frac{4}{10}=\textcolor{white}{1\frac{3821}{83475}}$$return {
["body"] = 214,
["id"] = "M1CEXS_0402_0529",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = 1.0457741838874,
["objekt"] = {
["hodnota"] = {
["citatel"] = 87296,
["jmenovatel"] = 83475 },
["render"] = "\\frac{87296}{83475}",
["typ"] = "cislo" },
["tex"] = "1\\frac{3821}{83475}",
["x"] = 1,
["y"] = 3821,
["z"] = 83475 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{12}}{\\frac{4\\frac{4}{7}}{15}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{4}{9}}{\\frac{4\\frac{5}{12}}{\\frac{4\\frac{4}{7}}{15}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{9}}{\\frac{4\\frac{5}{12}}{\\frac{4\\frac{4}{7}}{15}}} \\cdot 4\\frac{4}{10}",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.94, bodu=153, $$\frac{(-15 - (-23))^2}{(12 - 4\frac{1}{7}) \cdot (14 + 4\frac{4}{9})}=\textcolor{white}{\frac{2016}{4565}}$$return {
["body"] = 153,
["id"] = "CTa8PI_0402_0529",
["obtiznost"] = 1.366,
["reseni"] = {
["float"] = 0.44162102957284,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2016,
["jmenovatel"] = 4565 },
["render"] = "\\frac{4032}{9130}",
["typ"] = "cislo" },
["tex"] = "\\frac{2016}{4565}",
["y"] = 2016,
["z"] = 4565 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.94",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "-15 - (-23)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - (-23))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(12 - 4\\frac{1}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "14 + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(14 + 4\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "(12 - 4\\frac{1}{7}) \\cdot (14 + 4\\frac{4}{9})",
["typ"] = "krat" },
["render"] = "\\frac{(-15 - (-23))^2}{(12 - 4\\frac{1}{7}) \\cdot (14 + 4\\frac{4}{9})}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.95, bodu=120, $$19 \cdot (\frac{-10}{15 \cdot 17} \cdot 16 - 3\frac{3}{14})=\textcolor{white}{-72\frac{709}{714}}$$return {
["body"] = 120,
["id"] = "FlWX6S_0402_0529",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -72.99299719888,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52117,
["jmenovatel"] = 714 },
["render"] = "\\frac{-52117}{714}",
["typ"] = "cislo" },
["tex"] = "-72\\frac{709}{714}",
["x"] = -72,
["y"] = 709,
["z"] = 714 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "15 \\cdot 17",
["typ"] = "krat" },
["render"] = "\\frac{-10}{15 \\cdot 17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{15 \\cdot 17} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 14 },
["render"] = "3\\frac{3}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{15 \\cdot 17} \\cdot 16 - 3\\frac{3}{14}",
["typ"] = "minus" },
["render"] = "(\\frac{-10}{15 \\cdot 17} \\cdot 16 - 3\\frac{3}{14})",
["typ"] = "zavorka" },
["render"] = "19 \\cdot (\\frac{-10}{15 \\cdot 17} \\cdot 16 - 3\\frac{3}{14})",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.96, bodu=220, $$\frac{1\frac{3}{8} - (1\frac{2}{8} - (20 + 2\frac{4}{8}))}{3\frac{3}{9}} \cdot 24=\textcolor{white}{162{,}9}$$return {
["body"] = 220,
["id"] = "PpW4Xj_0402_0529",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = 162.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1629,
["jmenovatel"] = 10 },
["render"] = "\\frac{13032}{80}",
["typ"] = "cislo" },
["tex"] = "162\\frac{9}{10}",
["tex_float"] = "162{,}9",
["x"] = 162,
["y"] = 9,
["z"] = 10 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "20 + 2\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(20 + 2\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{8} - (20 + 2\\frac{4}{8})",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{8} - (20 + 2\\frac{4}{8}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{8} - (1\\frac{2}{8} - (20 + 2\\frac{4}{8}))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8} - (1\\frac{2}{8} - (20 + 2\\frac{4}{8}))}{3\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8} - (1\\frac{2}{8} - (20 + 2\\frac{4}{8}))}{3\\frac{3}{9}} \\cdot 24",
["typ"] = "krat" } }
seed: QyjHaZNAokoIxyFEf5dD_0.97, bodu=258, $$\frac{2\frac{4}{7} - (-13 - 10 - 3\frac{4}{13} \cdot 3\frac{5}{11})}{2\frac{1}{5} + 4\frac{3}{10}}=\textcolor{white}{5\frac{9005}{13013}}$$return {
["body"] = 258,
["id"] = "b2jNCF_0402_0529",
["obtiznost"] = 1.97,
["reseni"] = {
["float"] = 5.6920003073849,
["objekt"] = {
["hodnota"] = {
["citatel"] = 74070,
["jmenovatel"] = 13013 },
["render"] = "\\frac{74070}{13013}",
["typ"] = "cislo" },
["tex"] = "5\\frac{9005}{13013}",
["x"] = 5,
["y"] = 9005,
["z"] = 13013 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-13 - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{13} \\cdot 3\\frac{5}{11}",
["typ"] = "krat" },
["render"] = "-13 - 10 - 3\\frac{4}{13} \\cdot 3\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(-13 - 10 - 3\\frac{4}{13} \\cdot 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{7} - (-13 - 10 - 3\\frac{4}{13} \\cdot 3\\frac{5}{11})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{7} - (-13 - 10 - 3\\frac{4}{13} \\cdot 3\\frac{5}{11})}{2\\frac{1}{5} + 4\\frac{3}{10}}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.98, bodu=130, $$\frac{-9 + 17}{-12 \cdot ((\frac{-14}{12})^2 - 2\frac{3}{7})}=\textcolor{white}{\frac{168}{269}}$$return {
["body"] = 130,
["id"] = "xnmjcg_0402_0529",
["obtiznost"] = 1.214,
["reseni"] = {
["float"] = 0.62453531598513,
["objekt"] = {
["hodnota"] = {
["citatel"] = 168,
["jmenovatel"] = 269 },
["render"] = "\\frac{168}{269}",
["typ"] = "cislo" },
["tex"] = "\\frac{168}{269}",
["y"] = 168,
["z"] = 269 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-9 + 17",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-14}{12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{-14}{12})^2 - 2\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "((\\frac{-14}{12})^2 - 2\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot ((\\frac{-14}{12})^2 - 2\\frac{3}{7})",
["typ"] = "krat" },
["render"] = "\\frac{-9 + 17}{-12 \\cdot ((\\frac{-14}{12})^2 - 2\\frac{3}{7})}",
["typ"] = "lomeno" } }
seed: QyjHaZNAokoIxyFEf5dD_0.99, bodu=190, $$2\frac{3}{13} - \frac{1\frac{2}{9} - (-15)}{\frac{-5}{1\frac{1}{5} - (-20)}}=\textcolor{white}{71\frac{38}{2925}}$$return {
["body"] = 190,
["id"] = "VcOFPl_0402_0529",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 71.012991452991,
["objekt"] = {
["hodnota"] = {
["citatel"] = 207713,
["jmenovatel"] = 2925 },
["render"] = "\\frac{207713}{2925}",
["typ"] = "cislo" },
["tex"] = "71\\frac{38}{2925}",
["x"] = 71,
["y"] = 38,
["z"] = 2925 },
["seed"] = "QyjHaZNAokoIxyFEf5dD_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} - (-15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} - (-20)",
["typ"] = "minus" },
["render"] = "\\frac{-5}{1\\frac{1}{5} - (-20)}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{9} - (-15)}{\\frac{-5}{1\\frac{1}{5} - (-20)}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{13} - \\frac{1\\frac{2}{9} - (-15)}{\\frac{-5}{1\\frac{1}{5} - (-20)}}",
["typ"] = "minus" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
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popas.gif: 
source.gif: 
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vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 