- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: GeV8cso8oenoxMmWAkvE_0, bodu=5, $$9 + (-6 + (-7 - 7) + 6)=\textcolor{white}{-5}$$return {
["body"] = 5,
["id"] = "RY4rVD_0916_0217",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5}{1}",
["typ"] = "cislo" },
["tex"] = "-5",
["x"] = -5 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 - 7",
["typ"] = "minus" },
["render"] = "-6 + (-7 - 7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 + (-7 - 7) + 6",
["typ"] = "plus" },
["render"] = "9 + (-6 + (-7 - 7) + 6)",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.01, bodu=10, $$\frac{7 + 6 + 4}{4}=\textcolor{white}{4{,}25}$$return {
["body"] = 10,
["id"] = "iYVWBH_0916_0217",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 4.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "\\frac{17}{4}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{4}",
["tex_float"] = "4{,}25",
["x"] = 4,
["y"] = 1,
["z"] = 4 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 + 4",
["typ"] = "plus" },
["render"] = "7 + 6 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 6 + 4}{4}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.02, bodu=10, $$5 - 8 + \frac{7}{7}=\textcolor{white}{-2}$$return {
["body"] = 10,
["id"] = "eOFIO4_0916_0217",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2}{1}",
["typ"] = "cislo" },
["tex"] = "-2",
["x"] = -2 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7}",
["typ"] = "lomeno" },
["render"] = "5 - 8 + \\frac{7}{7}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.03, bodu=19, $$8 - (4 - \frac{2}{4\frac{2}{5}})=\textcolor{white}{4\frac{5}{11}}$$return {
["body"] = 19,
["id"] = "8ve3Ww_0916_0217",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = 4.4545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "\\frac{49}{11}",
["typ"] = "cislo" },
["tex"] = "4\\frac{5}{11}",
["x"] = 4,
["y"] = 5,
["z"] = 11 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{2}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "4 - \\frac{2}{4\\frac{2}{5}}",
["typ"] = "minus" },
["render"] = "(4 - \\frac{2}{4\\frac{2}{5}})",
["typ"] = "zavorka" },
["render"] = "8 - (4 - \\frac{2}{4\\frac{2}{5}})",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.04, bodu=5, $$5 \cdot -7 \cdot 4=\textcolor{white}{-140}$$return {
["body"] = 5,
["id"] = "rGlQx5_0916_0217",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -140,
["jmenovatel"] = 1 },
["render"] = "\\frac{-140}{1}",
["typ"] = "cislo" },
["tex"] = "-140",
["tex_float"] = "-140",
["x"] = -140 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "5 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot -7 \\cdot 4",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.05, bodu=11, $$\frac{-7 \cdot 3}{5}=\textcolor{white}{-4{,}2}$$return {
["body"] = 11,
["id"] = "wXv8Kr_0916_0217",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -4.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 5 },
["render"] = "\\frac{-21}{5}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{5}",
["tex_float"] = "-4{,}2",
["x"] = -4,
["y"] = 1,
["z"] = 5 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 3}{5}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.06, bodu=5, $$-9 \cdot 3 \cdot (-8 + 3)=\textcolor{white}{135}$$return {
["body"] = 5,
["id"] = "mHhHLv_0916_0217",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 135,
["jmenovatel"] = 1 },
["render"] = "\\frac{135}{1}",
["typ"] = "cislo" },
["tex"] = "135",
["tex_float"] = "135",
["x"] = 135 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 3",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-8 + 3",
["typ"] = "plus" },
["render"] = "(-8 + 3)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot 3 \\cdot (-8 + 3)",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.07, bodu=6, $$9 + (5 - 3 + 8)^2 + 9=\textcolor{white}{118}$$return {
["body"] = 6,
["id"] = "yevr0N_0916_0217",
["obtiznost"] = 0.1104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 118,
["jmenovatel"] = 1 },
["render"] = "\\frac{118}{1}",
["typ"] = "cislo" },
["tex"] = "118",
["tex_float"] = "118",
["x"] = 118 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "5 - 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 3 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 - 3 + 8)^2",
["typ"] = "mocnina" },
["render"] = "9 + (5 - 3 + 8)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + (5 - 3 + 8)^2 + 9",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.08, bodu=12, $$\frac{6 + 8}{8 - (-6)}=\textcolor{white}{1}$$return {
["body"] = 12,
["id"] = "vUEhGs_0916_0217",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{14}",
["typ"] = "cislo" },
["tex"] = "1",
["tex_float"] = "1",
["x"] = 1 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.08",
["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"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 - (-6)",
["typ"] = "minus" },
["render"] = "\\frac{6 + 8}{8 - (-6)}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.09, bodu=12, $$9 + \frac{7 + 5}{-10}=\textcolor{white}{7{,}8}$$return {
["body"] = 12,
["id"] = "9gQt91_0916_0217",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 7.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 5 },
["render"] = "\\frac{39}{5}",
["typ"] = "cislo" },
["tex"] = "7\\frac{4}{5}",
["tex_float"] = "7{,}8",
["x"] = 7,
["y"] = 4,
["z"] = 5 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 5}{-10}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{7 + 5}{-10}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.1, bodu=12, $$\frac{8}{-6} \cdot -5=\textcolor{white}{6\frac{2}{3}}$$return {
["body"] = 12,
["id"] = "yV5I5I_0916_0217",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 6.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 3 },
["render"] = "\\frac{20}{3}",
["typ"] = "cislo" },
["tex"] = "6\\frac{2}{3}",
["x"] = 6,
["y"] = 2,
["z"] = 3 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-6} \\cdot -5",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.11, bodu=25, $$(7 + 6) \cdot (-6 - 1\frac{3}{6})=\textcolor{white}{-97{,}5}$$return {
["body"] = 25,
["id"] = "8J8txX_0916_0217",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = -97.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -195,
["jmenovatel"] = 2 },
["render"] = "\\frac{-195}{2}",
["typ"] = "cislo" },
["tex"] = "-97\\frac{1}{2}",
["tex_float"] = "-97{,}5",
["x"] = -97,
["y"] = 1,
["z"] = 2 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.11",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 6",
["typ"] = "plus" },
["render"] = "(7 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-6 - 1\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "(-6 - 1\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "(7 + 6) \\cdot (-6 - 1\\frac{3}{6})",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.12, bodu=16, $$(\frac{6 \cdot 5}{12})^3=\textcolor{white}{15{,}625}$$return {
["body"] = 16,
["id"] = "RqtHG3_0916_0217",
["obtiznost"] = 0.1732,
["reseni"] = {
["float"] = 15.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 125,
["jmenovatel"] = 8 },
["render"] = "\\frac{125}{8}",
["typ"] = "cislo" },
["tex"] = "15\\frac{5}{8}",
["tex_float"] = "15{,}625",
["x"] = 15,
["y"] = 5,
["z"] = 8 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 5}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6 \\cdot 5}{12})^3",
["typ"] = "mocnina" } }
seed: GeV8cso8oenoxMmWAkvE_0.13, bodu=7, $$-9 - 5 - 6 \cdot -5=\textcolor{white}{16}$$return {
["body"] = 7,
["id"] = "oZHhgL_0916_0217",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{16}{1}",
["typ"] = "cislo" },
["tex"] = "16",
["x"] = 16 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-9 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "6 \\cdot -5",
["typ"] = "krat" },
["render"] = "-9 - 5 - 6 \\cdot -5",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.14, bodu=14, $$9 \cdot (\frac{-11}{4} - 8)=\textcolor{white}{-96{,}75}$$return {
["body"] = 14,
["id"] = "Qp8H7U_0916_0217",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -96.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -387,
["jmenovatel"] = 4 },
["render"] = "\\frac{-387}{4}",
["typ"] = "cislo" },
["tex"] = "-96\\frac{3}{4}",
["tex_float"] = "-96{,}75",
["x"] = -96,
["y"] = 3,
["z"] = 4 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{4} - 8",
["typ"] = "minus" },
["render"] = "(\\frac{-11}{4} - 8)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (\\frac{-11}{4} - 8)",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.15, bodu=28, $$-6 - (2 + 3\frac{1}{4}) \cdot 8=\textcolor{white}{-48}$$return {
["body"] = 28,
["id"] = "bdhu2a_0916_0217",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{1}",
["typ"] = "cislo" },
["tex"] = "-48",
["x"] = -48 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2 + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(2 + 3\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(2 + 3\\frac{1}{4}) \\cdot 8",
["typ"] = "krat" },
["render"] = "-6 - (2 + 3\\frac{1}{4}) \\cdot 8",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.16, bodu=15, $$\frac{-7}{-10} - (-9 + 11)=\textcolor{white}{-1{,}3}$$return {
["body"] = 15,
["id"] = "x9Yxzx_0916_0217",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -1.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 10 },
["render"] = "\\frac{-13}{10}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3}{10}",
["tex_float"] = "-1{,}3",
["x"] = -1,
["y"] = 3,
["z"] = 10 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 + 11",
["typ"] = "plus" },
["render"] = "(-9 + 11)",
["typ"] = "zavorka" },
["render"] = "\\frac{-7}{-10} - (-9 + 11)",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.17, bodu=30, $$\frac{-7}{-6 + (-8) + 4\frac{4}{9}}=\textcolor{white}{\frac{63}{86}}$$return {
["body"] = 30,
["id"] = "CBBxy9_0916_0217",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 0.73255813953488,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 86 },
["render"] = "\\frac{-63}{-86}",
["typ"] = "cislo" },
["tex"] = "\\frac{63}{86}",
["y"] = 63,
["z"] = 86 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-6 + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-6 + (-8) + 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{-7}{-6 + (-8) + 4\\frac{4}{9}}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.18, bodu=8, $$7 - (-12) - (4 - 9)=\textcolor{white}{24}$$return {
["body"] = 8,
["id"] = "p1RvU6_0916_0217",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "\\frac{24}{1}",
["typ"] = "cislo" },
["tex"] = "24",
["tex_float"] = "24",
["x"] = 24 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "7 - (-12)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 9",
["typ"] = "minus" },
["render"] = "(4 - 9)",
["typ"] = "zavorka" },
["render"] = "7 - (-12) - (4 - 9)",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.19, bodu=8, $$-7 - (-12) - (9 + (-6))^2=\textcolor{white}{-4}$$return {
["body"] = 8,
["id"] = "j0MAwR_0916_0217",
["obtiznost"] = 0.194,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4}{1}",
["typ"] = "cislo" },
["tex"] = "-4",
["tex_float"] = "-4",
["x"] = -4 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-7 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(9 + (-6))^2",
["typ"] = "mocnina" },
["render"] = "-7 - (-12) - (9 + (-6))^2",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.2, bodu=49, $$\frac{8 + 10 + 4\frac{1}{6}}{(7 + 10 + 4)^2}=\textcolor{white}{\frac{19}{378}}$$return {
["body"] = 49,
["id"] = "2JRnGe_0916_0217",
["obtiznost"] = 0.5768,
["reseni"] = {
["float"] = 0.05026455026455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 378 },
["render"] = "\\frac{133}{2646}",
["typ"] = "cislo" },
["tex"] = "\\frac{19}{378}",
["y"] = 19,
["z"] = 378 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "8 + 10 + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 + 4",
["typ"] = "plus" },
["render"] = "7 + 10 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 10 + 4)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8 + 10 + 4\\frac{1}{6}}{(7 + 10 + 4)^2}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.21, bodu=9, $$7 \cdot 8 - (8 - (-10))=\textcolor{white}{38}$$return {
["body"] = 9,
["id"] = "fQdznT_0916_0217",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 1 },
["render"] = "\\frac{38}{1}",
["typ"] = "cislo" },
["tex"] = "38",
["x"] = 38 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.21",
["zadani"] = {
["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"] = {
["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"] = "7 \\cdot 8 - (8 - (-10))",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.22, bodu=34, $$\frac{7}{\frac{2}{-9}} + 2\frac{5}{8}=\textcolor{white}{-28{,}875}$$return {
["body"] = 34,
["id"] = "QrHkM0_0916_0217",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = -28.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -231,
["jmenovatel"] = 8 },
["render"] = "\\frac{-462}{16}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{7}{8}",
["tex_float"] = "-28{,}875",
["x"] = -28,
["y"] = 7,
["z"] = 8 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{7}{\\frac{2}{-9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{\\frac{2}{-9}} + 2\\frac{5}{8}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.23, bodu=32, $$\frac{13}{-7} + (\frac{7}{4})^3=\textcolor{white}{3\frac{225}{448}}$$return {
["body"] = 32,
["id"] = "ZHpatT_0916_0217",
["obtiznost"] = 0.3928,
["reseni"] = {
["float"] = 3.5022321428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1569,
["jmenovatel"] = 448 },
["render"] = "\\frac{1569}{448}",
["typ"] = "cislo" },
["tex"] = "3\\frac{225}{448}",
["x"] = 3,
["y"] = 225,
["z"] = 448 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{4})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{-7} + (\\frac{7}{4})^3",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.24, bodu=13, $$-5 + (7 - (-5 + 11)^3) \cdot -7=\textcolor{white}{1458}$$return {
["body"] = 13,
["id"] = "iayzmr_0916_0217",
["obtiznost"] = 0.3268,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1458,
["jmenovatel"] = 1 },
["render"] = "\\frac{1458}{1}",
["typ"] = "cislo" },
["tex"] = "1458",
["x"] = 1458 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-5 + 11)^3",
["typ"] = "mocnina" },
["render"] = "7 - (-5 + 11)^3",
["typ"] = "minus" },
["render"] = "(7 - (-5 + 11)^3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(7 - (-5 + 11)^3) \\cdot -7",
["typ"] = "krat" },
["render"] = "-5 + (7 - (-5 + 11)^3) \\cdot -7",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.25, bodu=37, $$(\frac{-5}{8} + 5) \cdot (9 + 3\frac{2}{5})=\textcolor{white}{54{,}25}$$return {
["body"] = 37,
["id"] = "ao8XYl_0916_0217",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 54.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 217,
["jmenovatel"] = 4 },
["render"] = "\\frac{2170}{40}",
["typ"] = "cislo" },
["tex"] = "54\\frac{1}{4}",
["tex_float"] = "54{,}25",
["x"] = 54,
["y"] = 1,
["z"] = 4 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{8} + 5",
["typ"] = "plus" },
["render"] = "(\\frac{-5}{8} + 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "9 + 3\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(9 + 3\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "(\\frac{-5}{8} + 5) \\cdot (9 + 3\\frac{2}{5})",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.26, bodu=21, $$\frac{9}{\frac{9}{9}} + 9=\textcolor{white}{18}$$return {
["body"] = 21,
["id"] = "NhfquQ_0916_0217",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{18}{1}",
["typ"] = "cislo" },
["tex"] = "18",
["tex_float"] = "18",
["x"] = 18 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{9}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{\\frac{9}{9}} + 9",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.27, bodu=22, $$\frac{-7 - 8}{11 - (-7)}=\textcolor{white}{-\frac{5}{6}}$$return {
["body"] = 22,
["id"] = "lQkHhT_0916_0217",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -0.83333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 6 },
["render"] = "\\frac{-15}{18}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{6}",
["y"] = -5,
["z"] = 6 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 - 8",
["typ"] = "minus" },
["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"] = "minus" },
["render"] = "\\frac{-7 - 8}{11 - (-7)}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.28, bodu=66, $$5 \cdot (2\frac{4}{6} + (8 - 3)^4) \cdot 8=\textcolor{white}{25106\frac{2}{3}}$$return {
["body"] = 66,
["id"] = "RuXYdr_0916_0217",
["obtiznost"] = 0.7304,
["reseni"] = {
["float"] = 25106.666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 75320,
["jmenovatel"] = 3 },
["render"] = "\\frac{75320}{3}",
["typ"] = "cislo" },
["tex"] = "25106\\frac{2}{3}",
["x"] = 25106,
["y"] = 2,
["z"] = 3 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 - 3",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 3)^4",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{6} + (8 - 3)^4",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{6} + (8 - 3)^4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{6} + (8 - 3)^4) \\cdot 8",
["typ"] = "krat" },
["render"] = "5 \\cdot (2\\frac{4}{6} + (8 - 3)^4) \\cdot 8",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.29, bodu=12, $$-9 \cdot -12 + 13 \cdot -12=\textcolor{white}{-48}$$return {
["body"] = 12,
["id"] = "C4cgyb_0916_0217",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{1}",
["typ"] = "cislo" },
["tex"] = "-48",
["x"] = -48 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.29",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "13 \\cdot -12",
["typ"] = "krat" },
["render"] = "-9 \\cdot -12 + 13 \\cdot -12",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.3, bodu=24, $$2 + \frac{12 \cdot 14}{8}=\textcolor{white}{23}$$return {
["body"] = 24,
["id"] = "XBgtyi_0916_0217",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "\\frac{23}{1}",
["typ"] = "cislo" },
["tex"] = "23",
["tex_float"] = "23",
["x"] = 23 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "12 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot 14}{8}",
["typ"] = "lomeno" },
["render"] = "2 + \\frac{12 \\cdot 14}{8}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.31, bodu=42, $$2\frac{3}{5} + 13 + 3 - (-13) - (-10)=\textcolor{white}{41{,}6}$$return {
["body"] = 42,
["id"] = "0taUke_0916_0217",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 41.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 208,
["jmenovatel"] = 5 },
["render"] = "\\frac{208}{5}",
["typ"] = "cislo" },
["tex"] = "41\\frac{3}{5}",
["tex_float"] = "41{,}6",
["x"] = 41,
["y"] = 3,
["z"] = 5 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} + 13",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3 - (-13)",
["typ"] = "minus" },
["render"] = "2\\frac{3}{5} + 13 + 3 - (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} + 13 + 3 - (-13) - (-10)",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.32, bodu=43, $$\frac{9 - (15 - 12)}{1\frac{2}{6} - 13}=\textcolor{white}{-\frac{18}{35}}$$return {
["body"] = 43,
["id"] = "161rLz_0916_0217",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -0.51428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 35 },
["render"] = "\\frac{18}{-35}",
["typ"] = "cislo" },
["tex"] = "-\\frac{18}{35}",
["y"] = -18,
["z"] = 35 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "15 - 12",
["typ"] = "minus" },
["render"] = "(15 - 12)",
["typ"] = "zavorka" },
["render"] = "9 - (15 - 12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} - 13",
["typ"] = "minus" },
["render"] = "\\frac{9 - (15 - 12)}{1\\frac{2}{6} - 13}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.33, bodu=66, $$2\frac{4}{7} - (11 \cdot -8 + 4\frac{5}{7}) - (-8)=\textcolor{white}{93\frac{6}{7}}$$return {
["body"] = 66,
["id"] = "3du5OP_0916_0217",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 93.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 657,
["jmenovatel"] = 7 },
["render"] = "\\frac{657}{7}",
["typ"] = "cislo" },
["tex"] = "93\\frac{6}{7}",
["x"] = 93,
["y"] = 6,
["z"] = 7 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot -8 + 4\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "(11 \\cdot -8 + 4\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{7} - (11 \\cdot -8 + 4\\frac{5}{7})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - (11 \\cdot -8 + 4\\frac{5}{7}) - (-8)",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.34, bodu=30, $$(-9 + \frac{5}{15} + 8)^4 \cdot 8=\textcolor{white}{1\frac{47}{81}}$$return {
["body"] = 30,
["id"] = "wHKVMb_0916_0217",
["obtiznost"] = 0.3788,
["reseni"] = {
["float"] = 1.5802469135802,
["objekt"] = {
["hodnota"] = {
["citatel"] = 128,
["jmenovatel"] = 81 },
["render"] = "\\frac{128}{81}",
["typ"] = "cislo" },
["tex"] = "1\\frac{47}{81}",
["x"] = 1,
["y"] = 47,
["z"] = 81 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.34",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{5}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{15} + 8",
["typ"] = "plus" },
["render"] = "-9 + \\frac{5}{15} + 8",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-9 + \\frac{5}{15} + 8)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-9 + \\frac{5}{15} + 8)^4 \\cdot 8",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.35, bodu=120, $$(1\frac{3}{6} \cdot 3\frac{4}{9})^2 \cdot \frac{-13}{11}=\textcolor{white}{-31\frac{217}{396}}$$return {
["body"] = 120,
["id"] = "j9BD2y_0916_0217",
["obtiznost"] = 1.1488,
["reseni"] = {
["float"] = -31.54797979798,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12493,
["jmenovatel"] = 396 },
["render"] = "\\frac{-12493}{396}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{217}{396}",
["x"] = -31,
["y"] = 217,
["z"] = 396 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.35",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 3\\frac{4}{9}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{6} \\cdot 3\\frac{4}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{11}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{3}{6} \\cdot 3\\frac{4}{9})^2 \\cdot \\frac{-13}{11}",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.36, bodu=31, $$12 + \frac{6 + 10}{(9 + (-13))^3}=\textcolor{white}{11{,}75}$$return {
["body"] = 31,
["id"] = "XmpqjB_0916_0217",
["obtiznost"] = 0.386,
["reseni"] = {
["float"] = 11.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 4 },
["render"] = "\\frac{47}{4}",
["typ"] = "cislo" },
["tex"] = "11\\frac{3}{4}",
["tex_float"] = "11{,}75",
["x"] = 11,
["y"] = 3,
["z"] = 4 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 + 10",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "9 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(9 + (-13))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{6 + 10}{(9 + (-13))^3}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{6 + 10}{(9 + (-13))^3}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.37, bodu=70, $$7 - (8 - (4\frac{2}{8} + 4\frac{1}{3} + (-12)))=\textcolor{white}{-4\frac{5}{12}}$$return {
["body"] = 70,
["id"] = "yN4eMU_0916_0217",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -4.4166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53,
["jmenovatel"] = 12 },
["render"] = "\\frac{-53}{12}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{5}{12}",
["x"] = -4,
["y"] = 5,
["z"] = 12 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} + (-12)",
["typ"] = "plus" },
["render"] = "4\\frac{2}{8} + 4\\frac{1}{3} + (-12)",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{8} + 4\\frac{1}{3} + (-12))",
["typ"] = "zavorka" },
["render"] = "8 - (4\\frac{2}{8} + 4\\frac{1}{3} + (-12))",
["typ"] = "minus" },
["render"] = "(8 - (4\\frac{2}{8} + 4\\frac{1}{3} + (-12)))",
["typ"] = "zavorka" },
["render"] = "7 - (8 - (4\\frac{2}{8} + 4\\frac{1}{3} + (-12)))",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.38, bodu=49, $$\frac{-9}{6} + 11 + 1\frac{2}{8} + (-10)=\textcolor{white}{0{,}75}$$return {
["body"] = 49,
["id"] = "IWmAWT_0916_0217",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 0.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 4 },
["render"] = "\\frac{6}{8}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{4}",
["tex_float"] = "0{,}75",
["y"] = 3,
["z"] = 4 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{6} + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{-9}{6} + 11 + 1\\frac{2}{8} + (-10)",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.39, bodu=50, $$-12 \cdot 11 \cdot 4\frac{3}{7} - 11=\textcolor{white}{-595\frac{4}{7}}$$return {
["body"] = 50,
["id"] = "erJYyk_0916_0217",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -595.57142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4169,
["jmenovatel"] = 7 },
["render"] = "\\frac{-4169}{7}",
["typ"] = "cislo" },
["tex"] = "-595\\frac{4}{7}",
["x"] = -595,
["y"] = 4,
["z"] = 7 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 4\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "-12 \\cdot 11 \\cdot 4\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 11 \\cdot 4\\frac{3}{7} - 11",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.4, bodu=51, $$\frac{3\frac{2}{7} - 7 + (-6)}{8 \cdot -13}=\textcolor{white}{\frac{17}{182}}$$return {
["body"] = 51,
["id"] = "nMpS1O_0916_0217",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 0.093406593406593,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 182 },
["render"] = "\\frac{-68}{-728}",
["typ"] = "cislo" },
["tex"] = "\\frac{17}{182}",
["y"] = 17,
["z"] = 182 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} - 7 + (-6)",
["typ"] = "plus" },
["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"] = "\\frac{3\\frac{2}{7} - 7 + (-6)}{8 \\cdot -13}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.41, bodu=33, $$15 - (\frac{11}{-5 \cdot 9} - (-5))=\textcolor{white}{10\frac{11}{45}}$$return {
["body"] = 33,
["id"] = "RJgKcl_0916_0217",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 10.244444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 461,
["jmenovatel"] = 45 },
["render"] = "\\frac{461}{45}",
["typ"] = "cislo" },
["tex"] = "10\\frac{11}{45}",
["x"] = 10,
["y"] = 11,
["z"] = 45 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{11}{-5 \\cdot 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-5 \\cdot 9} - (-5)",
["typ"] = "minus" },
["render"] = "(\\frac{11}{-5 \\cdot 9} - (-5))",
["typ"] = "zavorka" },
["render"] = "15 - (\\frac{11}{-5 \\cdot 9} - (-5))",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.42, bodu=56, $$(\frac{15}{(11 - 6)^2})^2 - \frac{-4}{1\frac{1}{3}}=\textcolor{white}{3{,}36}$$return {
["body"] = 56,
["id"] = "JHzN5c_0916_0217",
["obtiznost"] = 0.644,
["reseni"] = {
["float"] = 3.36,
["objekt"] = {
["hodnota"] = {
["citatel"] = 84,
["jmenovatel"] = 25 },
["render"] = "\\frac{84}{25}",
["typ"] = "cislo" },
["tex"] = "3\\frac{9}{25}",
["tex_float"] = "3{,}36",
["x"] = 3,
["y"] = 9,
["z"] = 25 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.42",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["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"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - 6)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{15}{(11 - 6)^2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{15}{(11 - 6)^2})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{1\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{15}{(11 - 6)^2})^2 - \\frac{-4}{1\\frac{1}{3}}",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.43, bodu=121, $$14 \cdot 4\frac{2}{8} \cdot 14 \cdot (4\frac{2}{5} + (-10))^2=\textcolor{white}{26122{,}88}$$return {
["body"] = 121,
["id"] = "w69XZr_0916_0217",
["obtiznost"] = 1.1536,
["reseni"] = {
["float"] = 26122.88,
["objekt"] = {
["hodnota"] = {
["citatel"] = 653072,
["jmenovatel"] = 25 },
["render"] = "\\frac{1306144}{50}",
["typ"] = "cislo" },
["tex"] = "26122\\frac{22}{25}",
["tex_float"] = "26122{,}88",
["x"] = 26122,
["y"] = 22,
["z"] = 25 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 4\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + (-10)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{5} + (-10))^2",
["typ"] = "mocnina" },
["render"] = "14 \\cdot (4\\frac{2}{5} + (-10))^2",
["typ"] = "krat" },
["render"] = "14 \\cdot 4\\frac{2}{8} \\cdot 14 \\cdot (4\\frac{2}{5} + (-10))^2",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.44, bodu=105, $$\frac{-16 \cdot 4\frac{3}{9}}{\frac{1\frac{4}{10} + 2\frac{5}{7}}{6}}=\textcolor{white}{-101\frac{1}{9}}$$return {
["body"] = 105,
["id"] = "Wa3GxD_0916_0217",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -101.11111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -910,
["jmenovatel"] = 9 },
["render"] = "\\frac{-7280}{72}",
["typ"] = "cislo" },
["tex"] = "-101\\frac{1}{9}",
["x"] = -101,
["y"] = 1,
["z"] = 9 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 4\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} + 2\\frac{5}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10} + 2\\frac{5}{7}}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{-16 \\cdot 4\\frac{3}{9}}{\\frac{1\\frac{4}{10} + 2\\frac{5}{7}}{6}}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.45, bodu=57, $$-15 + 5 \cdot (\frac{-10}{10})^3 + 1\frac{1}{2}=\textcolor{white}{-18{,}5}$$return {
["body"] = 57,
["id"] = "cOtfBx_0916_0217",
["obtiznost"] = 0.6508,
["reseni"] = {
["float"] = -18.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -37,
["jmenovatel"] = 2 },
["render"] = "\\frac{-37}{2}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{1}{2}",
["tex_float"] = "-18{,}5",
["x"] = -18,
["y"] = 1,
["z"] = 2 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-10}{10})^3",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (\\frac{-10}{10})^3",
["typ"] = "krat" },
["render"] = "-15 + 5 \\cdot (\\frac{-10}{10})^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-15 + 5 \\cdot (\\frac{-10}{10})^3 + 1\\frac{1}{2}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.46, bodu=58, $$-9 + 3\frac{3}{6} + 12 - (-11 \cdot 4) - 4=\textcolor{white}{46{,}5}$$return {
["body"] = 58,
["id"] = "QzWQcH_0916_0217",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 46.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 93,
["jmenovatel"] = 2 },
["render"] = "\\frac{93}{2}",
["typ"] = "cislo" },
["tex"] = "46\\frac{1}{2}",
["tex_float"] = "46{,}5",
["x"] = 46,
["y"] = 1,
["z"] = 2 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4",
["typ"] = "krat" },
["render"] = "12 - (-11 \\cdot 4)",
["typ"] = "minus" },
["render"] = "3\\frac{3}{6} + 12 - (-11 \\cdot 4)",
["typ"] = "plus" },
["render"] = "-9 + 3\\frac{3}{6} + 12 - (-11 \\cdot 4)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-9 + 3\\frac{3}{6} + 12 - (-11 \\cdot 4) - 4",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.47, bodu=59, $$9 \cdot \frac{11}{\frac{-10}{1\frac{1}{4}} + (-8)}=\textcolor{white}{-6\frac{3}{16}}$$return {
["body"] = 59,
["id"] = "Eb8OT9_0916_0217",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -6.1875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 16 },
["render"] = "\\frac{-99}{16}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{3}{16}",
["x"] = -6,
["y"] = 3,
["z"] = 16 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{1\\frac{1}{4}} + (-8)",
["typ"] = "plus" },
["render"] = "\\frac{11}{\\frac{-10}{1\\frac{1}{4}} + (-8)}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{11}{\\frac{-10}{1\\frac{1}{4}} + (-8)}",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.48, bodu=111, $$\frac{4\frac{1}{6}}{3\frac{5}{12} - (14 - 4\frac{2}{6}) + (-11)}=\textcolor{white}{-\frac{50}{207}}$$return {
["body"] = 111,
["id"] = "HabJQV_0916_0217",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -0.24154589371981,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50,
["jmenovatel"] = 207 },
["render"] = "\\frac{100}{-414}",
["typ"] = "cislo" },
["tex"] = "-\\frac{50}{207}",
["y"] = -50,
["z"] = 207 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "14 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(14 - 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{12} - (14 - 4\\frac{2}{6})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - (14 - 4\\frac{2}{6}) + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{1}{6}}{3\\frac{5}{12} - (14 - 4\\frac{2}{6}) + (-11)}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.49, bodu=61, $$-8 \cdot (8 - (-8)) \cdot -14 \cdot 1\frac{4}{11}=\textcolor{white}{2443\frac{7}{11}}$$return {
["body"] = 61,
["id"] = "Mtus9E_0916_0217",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 2443.6363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26880,
["jmenovatel"] = 11 },
["render"] = "\\frac{26880}{11}",
["typ"] = "cislo" },
["tex"] = "2443\\frac{7}{11}",
["x"] = 2443,
["y"] = 7,
["z"] = 11 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["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"] = "minus" },
["render"] = "(8 - (-8))",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (8 - (-8))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 1\\frac{4}{11}",
["typ"] = "krat" },
["render"] = "-8 \\cdot (8 - (-8)) \\cdot -14 \\cdot 1\\frac{4}{11}",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.5, bodu=62, $$4\frac{1}{3} \cdot 6 \cdot \frac{-10}{15}=\textcolor{white}{-17\frac{1}{3}}$$return {
["body"] = 62,
["id"] = "GRB8Vl_0916_0217",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -17.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52,
["jmenovatel"] = 3 },
["render"] = "\\frac{-52}{3}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{1}{3}",
["x"] = -17,
["y"] = 1,
["z"] = 3 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{15}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{-10}{15}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{3} \\cdot 6 \\cdot \\frac{-10}{15}",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.51, bodu=97, $$(6 - (-9) - (-11))^2 + 2\frac{1}{3} \cdot 6=\textcolor{white}{690}$$return {
["body"] = 97,
["id"] = "tfrOI8_0916_0217",
["obtiznost"] = 0.9808,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 690,
["jmenovatel"] = 1 },
["render"] = "\\frac{690}{1}",
["typ"] = "cislo" },
["tex"] = "690",
["tex_float"] = "690",
["x"] = 690 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.51",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "6 - (-9) - (-11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - (-9) - (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} \\cdot 6",
["typ"] = "krat" },
["render"] = "(6 - (-9) - (-11))^2 + 2\\frac{1}{3} \\cdot 6",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.52, bodu=116, $$7 + 3\frac{2}{8} - (-8) + 3\frac{4}{7} - 11 - 2\frac{4}{10}=\textcolor{white}{8\frac{59}{140}}$$return {
["body"] = 116,
["id"] = "YqLGt0_0916_0217",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 8.4214285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1179,
["jmenovatel"] = 140 },
["render"] = "\\frac{1179}{140}",
["typ"] = "cislo" },
["tex"] = "8\\frac{59}{140}",
["x"] = 8,
["y"] = 59,
["z"] = 140 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - (-8)",
["typ"] = "minus" },
["render"] = "7 + 3\\frac{2}{8} - (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} - 11 - 2\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "7 + 3\\frac{2}{8} - (-8) + 3\\frac{4}{7} - 11 - 2\\frac{4}{10}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.53, bodu=83, $$-11 + 3\frac{1}{4} - (-8 + (-7)) + (-11 - 8)^2=\textcolor{white}{368{,}25}$$return {
["body"] = 83,
["id"] = "lU5vOA_0916_0217",
["obtiznost"] = 0.8748,
["reseni"] = {
["float"] = 368.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1473,
["jmenovatel"] = 4 },
["render"] = "\\frac{1473}{4}",
["typ"] = "cislo" },
["tex"] = "368\\frac{1}{4}",
["tex_float"] = "368{,}25",
["x"] = 368,
["y"] = 1,
["z"] = 4 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-11 + 3\\frac{1}{4}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-8 + (-7))",
["typ"] = "zavorka" },
["render"] = "-11 + 3\\frac{1}{4} - (-8 + (-7))",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-11 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - 8)^2",
["typ"] = "mocnina" },
["render"] = "-11 + 3\\frac{1}{4} - (-8 + (-7)) + (-11 - 8)^2",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.54, bodu=119, $$-4 - (3\frac{2}{8} - 2\frac{5}{9}) - 7 - (2\frac{4}{11} + (-8))=\textcolor{white}{-6\frac{23}{396}}$$return {
["body"] = 119,
["id"] = "aLIUiv_0916_0217",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = -6.0580808080808,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2399,
["jmenovatel"] = 396 },
["render"] = "\\frac{-2399}{396}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{23}{396}",
["x"] = -6,
["y"] = 23,
["z"] = 396 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{8} - 2\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "-4 - (3\\frac{2}{8} - 2\\frac{5}{9})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-4 - (3\\frac{2}{8} - 2\\frac{5}{9}) - 7",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} + (-8)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{11} + (-8))",
["typ"] = "zavorka" },
["render"] = "-4 - (3\\frac{2}{8} - 2\\frac{5}{9}) - 7 - (2\\frac{4}{11} + (-8))",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.55, bodu=93, $$-11 \cdot 2 \cdot 2\frac{2}{8} + 10 + 2\frac{5}{8}=\textcolor{white}{-36{,}875}$$return {
["body"] = 93,
["id"] = "XQULYV_0916_0217",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -36.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -295,
["jmenovatel"] = 8 },
["render"] = "\\frac{-590}{16}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{7}{8}",
["tex_float"] = "-36{,}875",
["x"] = -36,
["y"] = 7,
["z"] = 8 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2 \\cdot 2\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "-11 \\cdot 2 \\cdot 2\\frac{2}{8} + 10 + 2\\frac{5}{8}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.56, bodu=122, $$2\frac{5}{8} \cdot \frac{7 - 1\frac{5}{13} + (-7 + 10)}{4\frac{3}{6}}=\textcolor{white}{5\frac{1}{39}}$$return {
["body"] = 122,
["id"] = "yJ78ct_0916_0217",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 5.025641025641,
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 39 },
["render"] = "\\frac{4704}{936}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{39}",
["x"] = 5,
["y"] = 1,
["z"] = 39 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "7 - 1\\frac{5}{13}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 + 10",
["typ"] = "plus" },
["render"] = "7 - 1\\frac{5}{13} + (-7 + 10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{7 - 1\\frac{5}{13} + (-7 + 10)}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{8} \\cdot \\frac{7 - 1\\frac{5}{13} + (-7 + 10)}{4\\frac{3}{6}}",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.57, bodu=24, $$-12 + (-5 \cdot 16) - (7 - 13)=\textcolor{white}{-86}$$return {
["body"] = 24,
["id"] = "LmVC1q_0916_0217",
["obtiznost"] = 0.57,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -86,
["jmenovatel"] = 1 },
["render"] = "\\frac{-86}{1}",
["typ"] = "cislo" },
["tex"] = "-86",
["tex_float"] = "-86",
["x"] = -86 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 16",
["typ"] = "krat" },
["render"] = "-12 + (-5 \\cdot 16)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "7 - 13",
["typ"] = "minus" },
["render"] = "(7 - 13)",
["typ"] = "zavorka" },
["render"] = "-12 + (-5 \\cdot 16) - (7 - 13)",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.58, bodu=97, $$\frac{1\frac{2}{6}}{8 \cdot 11 - 1\frac{1}{6} \cdot -13}=\textcolor{white}{\frac{8}{619}}$$return {
["body"] = 97,
["id"] = "RMK1e6_0916_0217",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 0.012924071082391,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 619 },
["render"] = "\\frac{24}{1857}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{619}",
["y"] = 8,
["z"] = 619 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot -13",
["typ"] = "krat" },
["render"] = "8 \\cdot 11 - 1\\frac{1}{6} \\cdot -13",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{2}{6}}{8 \\cdot 11 - 1\\frac{1}{6} \\cdot -13}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.59, bodu=84, $$\frac{(1\frac{1}{2} \cdot -5)^2}{13 - (12 + 7)}=\textcolor{white}{-9{,}375}$$return {
["body"] = 84,
["id"] = "CAfRmZ_0916_0217",
["obtiznost"] = 0.8816,
["reseni"] = {
["float"] = -9.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 8 },
["render"] = "\\frac{225}{-24}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{3}{8}",
["tex_float"] = "-9{,}375",
["x"] = -9,
["y"] = 3,
["z"] = 8 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.59",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{2} \\cdot -5",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{2} \\cdot -5)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 + 7",
["typ"] = "plus" },
["render"] = "(12 + 7)",
["typ"] = "zavorka" },
["render"] = "13 - (12 + 7)",
["typ"] = "minus" },
["render"] = "\\frac{(1\\frac{1}{2} \\cdot -5)^2}{13 - (12 + 7)}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.6, bodu=35, $$(-5 + (-8)) \cdot (10 - 18) + (-15 + (-12 + (-9))^2)=\textcolor{white}{530}$$return {
["body"] = 35,
["id"] = "VpxWks_0916_0217",
["obtiznost"] = 0.7768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 530,
["jmenovatel"] = 1 },
["render"] = "\\frac{530}{1}",
["typ"] = "cislo" },
["tex"] = "530",
["tex_float"] = "530",
["x"] = 530 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-5 + (-8)",
["typ"] = "plus" },
["render"] = "(-5 + (-8))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "10 - 18",
["typ"] = "minus" },
["render"] = "(10 - 18)",
["typ"] = "zavorka" },
["render"] = "(-5 + (-8)) \\cdot (10 - 18)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-12 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + (-9))^2",
["typ"] = "mocnina" },
["render"] = "-15 + (-12 + (-9))^2",
["typ"] = "plus" },
["render"] = "(-5 + (-8)) \\cdot (10 - 18) + (-15 + (-12 + (-9))^2)",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.61, bodu=160, $$(3\frac{1}{7} - (-5)) \cdot (3\frac{5}{10} - 1\frac{4}{11} - 2\frac{2}{8} - (-10))=\textcolor{white}{80\frac{155}{308}}$$return {
["body"] = 160,
["id"] = "ngg41G_0916_0217",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 80.503246753247,
["objekt"] = {
["hodnota"] = {
["citatel"] = 24795,
["jmenovatel"] = 308 },
["render"] = "\\frac{24795}{308}",
["typ"] = "cislo" },
["tex"] = "80\\frac{155}{308}",
["x"] = 80,
["y"] = 155,
["z"] = 308 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - (-5)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{7} - (-5))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - 1\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - 1\\frac{4}{11} - 2\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - 1\\frac{4}{11} - 2\\frac{2}{8} - (-10)",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{10} - 1\\frac{4}{11} - 2\\frac{2}{8} - (-10))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{1}{7} - (-5)) \\cdot (3\\frac{5}{10} - 1\\frac{4}{11} - 2\\frac{2}{8} - (-10))",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.62, bodu=65, $$\frac{-15}{-9 \cdot -15 - (-10 + (15 - 11)^4)}=\textcolor{white}{\frac{5}{37}}$$return {
["body"] = 65,
["id"] = "vRCMSy_0916_0217",
["obtiznost"] = 0.7228,
["reseni"] = {
["float"] = 0.13513513513514,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 37 },
["render"] = "\\frac{-15}{-111}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{37}",
["y"] = 5,
["z"] = 37 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "15 - 11",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(15 - 11)^4",
["typ"] = "mocnina" },
["render"] = "-10 + (15 - 11)^4",
["typ"] = "plus" },
["render"] = "(-10 + (15 - 11)^4)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot -15 - (-10 + (15 - 11)^4)",
["typ"] = "minus" },
["render"] = "\\frac{-15}{-9 \\cdot -15 - (-10 + (15 - 11)^4)}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.63, bodu=163, $$\frac{15}{2\frac{3}{8}} + \frac{2\frac{4}{9} + 1\frac{4}{6}}{11 + 3\frac{3}{10}}=\textcolor{white}{6\frac{14752}{24453}}$$return {
["body"] = 163,
["id"] = "wTca73_0916_0217",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = 6.6032797611745,
["objekt"] = {
["hodnota"] = {
["citatel"] = 161470,
["jmenovatel"] = 24453 },
["render"] = "\\frac{161470}{24453}",
["typ"] = "cislo" },
["tex"] = "6\\frac{14752}{24453}",
["x"] = 6,
["y"] = 14752,
["z"] = 24453 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{2\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + 1\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "11 + 3\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{9} + 1\\frac{4}{6}}{11 + 3\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{15}{2\\frac{3}{8}} + \\frac{2\\frac{4}{9} + 1\\frac{4}{6}}{11 + 3\\frac{3}{10}}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.64, bodu=134, $$\frac{12}{2\frac{3}{9}} \cdot (12 - 18) - (2\frac{1}{4} + 1\frac{4}{12})=\textcolor{white}{-34\frac{37}{84}}$$return {
["body"] = 134,
["id"] = "5EU8PN_0916_0217",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -34.440476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2893,
["jmenovatel"] = 84 },
["render"] = "\\frac{-2893}{84}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{37}{84}",
["x"] = -34,
["y"] = 37,
["z"] = 84 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "12 - 18",
["typ"] = "minus" },
["render"] = "(12 - 18)",
["typ"] = "zavorka" },
["render"] = "\\frac{12}{2\\frac{3}{9}} \\cdot (12 - 18)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + 1\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{4} + 1\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "\\frac{12}{2\\frac{3}{9}} \\cdot (12 - 18) - (2\\frac{1}{4} + 1\\frac{4}{12})",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.65, bodu=80, $$10 \cdot \frac{2\frac{2}{7} \cdot 12}{-8 \cdot 8}=\textcolor{white}{-4\frac{2}{7}}$$return {
["body"] = 80,
["id"] = "x6SEsK_0916_0217",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -4.2857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -30,
["jmenovatel"] = 7 },
["render"] = "\\frac{-30}{7}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{2}{7}",
["x"] = -4,
["y"] = 2,
["z"] = 7 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{7} \\cdot 12}{-8 \\cdot 8}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{2\\frac{2}{7} \\cdot 12}{-8 \\cdot 8}",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.66, bodu=58, $$\frac{10 + \frac{-12}{-10}}{\frac{14}{14} + 13}=\textcolor{white}{0{,}8}$$return {
["body"] = 58,
["id"] = "6yFtYu_0916_0217",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 0.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 5 },
["render"] = "\\frac{56}{70}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{5}",
["tex_float"] = "0{,}8",
["y"] = 4,
["z"] = 5 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-10}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{-12}{-10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{14}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{14}{14} + 13",
["typ"] = "plus" },
["render"] = "\\frac{10 + \\frac{-12}{-10}}{\\frac{14}{14} + 13}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.67, bodu=124, $$\frac{-12}{-13 + (-10 + (1\frac{1}{9} - (-14) - 18)^2)}=\textcolor{white}{\frac{972}{1187}}$$return {
["body"] = 124,
["id"] = "AfqqKb_0916_0217",
["obtiznost"] = 1.1728,
["reseni"] = {
["float"] = 0.81887110362258,
["objekt"] = {
["hodnota"] = {
["citatel"] = 972,
["jmenovatel"] = 1187 },
["render"] = "\\frac{-972}{-1187}",
["typ"] = "cislo" },
["tex"] = "\\frac{972}{1187}",
["y"] = 972,
["z"] = 1187 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} - (-14) - 18",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{9} - (-14) - 18)^2",
["typ"] = "mocnina" },
["render"] = "-10 + (1\\frac{1}{9} - (-14) - 18)^2",
["typ"] = "plus" },
["render"] = "-13 + (-10 + (1\\frac{1}{9} - (-14) - 18)^2)",
["typ"] = "plus" },
["render"] = "\\frac{-12}{-13 + (-10 + (1\\frac{1}{9} - (-14) - 18)^2)}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.68, bodu=111, $$(\frac{-9}{-15} - (3\frac{5}{8} - (-11)) - 4\frac{5}{11}) \cdot -20=\textcolor{white}{369\frac{13}{22}}$$return {
["body"] = 111,
["id"] = "nAAAtB_0916_0217",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 369.59090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8131,
["jmenovatel"] = 22 },
["render"] = "\\frac{162620}{440}",
["typ"] = "cislo" },
["tex"] = "369\\frac{13}{22}",
["x"] = 369,
["y"] = 13,
["z"] = 22 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.68",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} - (-11)",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{8} - (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{-15} - (3\\frac{5}{8} - (-11))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-15} - (3\\frac{5}{8} - (-11)) - 4\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(\\frac{-9}{-15} - (3\\frac{5}{8} - (-11)) - 4\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "(\\frac{-9}{-15} - (3\\frac{5}{8} - (-11)) - 4\\frac{5}{11}) \\cdot -20",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.69, bodu=173, $$3\frac{1}{9} + 2\frac{3}{9} + (-17 + 1\frac{5}{12}) + \frac{-19 - 15}{1\frac{5}{11}}=\textcolor{white}{-33\frac{37}{72}}$$return {
["body"] = 173,
["id"] = "0sBMXh_0916_0217",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -33.513888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2413,
["jmenovatel"] = 72 },
["render"] = "\\frac{-9652}{288}",
["typ"] = "cislo" },
["tex"] = "-33\\frac{37}{72}",
["x"] = -33,
["y"] = 37,
["z"] = 72 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-17 + 1\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "2\\frac{3}{9} + (-17 + 1\\frac{5}{12})",
["typ"] = "plus" },
["render"] = "3\\frac{1}{9} + 2\\frac{3}{9} + (-17 + 1\\frac{5}{12})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-19 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-19 - 15}{1\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{9} + 2\\frac{3}{9} + (-17 + 1\\frac{5}{12}) + \\frac{-19 - 15}{1\\frac{5}{11}}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.7, bodu=143, $$1\frac{2}{9} - (1\frac{4}{7} + 3\frac{5}{11} + \frac{-13}{5} - (14 + (-12)))=\textcolor{white}{\frac{2759}{3465}}$$return {
["body"] = 143,
["id"] = "l1oDjy_0916_0217",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 0.7962481962482,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2759,
["jmenovatel"] = 3465 },
["render"] = "\\frac{2759}{3465}",
["typ"] = "cislo" },
["tex"] = "\\frac{2759}{3465}",
["y"] = 2759,
["z"] = 3465 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{5}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{11} + \\frac{-13}{5}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "14 + (-12)",
["typ"] = "plus" },
["render"] = "(14 + (-12))",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{11} + \\frac{-13}{5} - (14 + (-12))",
["typ"] = "minus" },
["render"] = "1\\frac{4}{7} + 3\\frac{5}{11} + \\frac{-13}{5} - (14 + (-12))",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{7} + 3\\frac{5}{11} + \\frac{-13}{5} - (14 + (-12)))",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{9} - (1\\frac{4}{7} + 3\\frac{5}{11} + \\frac{-13}{5} - (14 + (-12)))",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.71, bodu=146, $$(-10 - (2\frac{4}{10} - 2\frac{5}{8})) \cdot (-16 - (13 + 10)^2)=\textcolor{white}{5327{,}375}$$return {
["body"] = 146,
["id"] = "lOqn3m_0916_0217",
["obtiznost"] = 1.322,
["reseni"] = {
["float"] = 5327.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 42619,
["jmenovatel"] = 8 },
["render"] = "\\frac{213095}{40}",
["typ"] = "cislo" },
["tex"] = "5327\\frac{3}{8}",
["tex_float"] = "5327{,}375",
["x"] = 5327,
["y"] = 3,
["z"] = 8 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.71",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} - 2\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{10} - 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "-10 - (2\\frac{4}{10} - 2\\frac{5}{8})",
["typ"] = "minus" },
["render"] = "(-10 - (2\\frac{4}{10} - 2\\frac{5}{8}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + 10)^2",
["typ"] = "mocnina" },
["render"] = "-16 - (13 + 10)^2",
["typ"] = "minus" },
["render"] = "(-16 - (13 + 10)^2)",
["typ"] = "zavorka" },
["render"] = "(-10 - (2\\frac{4}{10} - 2\\frac{5}{8})) \\cdot (-16 - (13 + 10)^2)",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.72, bodu=116, $$(\frac{\frac{12 + 17}{-19}}{11} + 2\frac{2}{7}) \cdot 1\frac{3}{7}=\textcolor{white}{3\frac{687}{10241}}$$return {
["body"] = 116,
["id"] = "vFf7ZU_0916_0217",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 3.0670832926472,
["objekt"] = {
["hodnota"] = {
["citatel"] = 31410,
["jmenovatel"] = 10241 },
["render"] = "\\frac{31410}{10241}",
["typ"] = "cislo" },
["tex"] = "3\\frac{687}{10241}",
["x"] = 3,
["y"] = 687,
["z"] = 10241 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.72",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "12 + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 17}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12 + 17}{-19}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12 + 17}{-19}}{11} + 2\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(\\frac{\\frac{12 + 17}{-19}}{11} + 2\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{\\frac{12 + 17}{-19}}{11} + 2\\frac{2}{7}) \\cdot 1\\frac{3}{7}",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.73, bodu=90, $$-7 \cdot (2\frac{4}{12} \cdot -10 \cdot 13 + (-12))=\textcolor{white}{2207\frac{1}{3}}$$return {
["body"] = 90,
["id"] = "uZI0jv_0916_0217",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 2207.3333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6622,
["jmenovatel"] = 3 },
["render"] = "\\frac{6622}{3}",
["typ"] = "cislo" },
["tex"] = "2207\\frac{1}{3}",
["x"] = 2207,
["y"] = 1,
["z"] = 3 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["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"] = "2\\frac{4}{12} \\cdot -10 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} \\cdot -10 \\cdot 13 + (-12)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{12} \\cdot -10 \\cdot 13 + (-12))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (2\\frac{4}{12} \\cdot -10 \\cdot 13 + (-12))",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.74, bodu=104, $$\frac{-14}{(-14 + (-13))^2 \cdot (14 - 9)} - (-13)=\textcolor{white}{12\frac{3631}{3645}}$$return {
["body"] = 104,
["id"] = "LoZUiM_0916_0217",
["obtiznost"] = 1.032,
["reseni"] = {
["float"] = 12.996159122085,
["objekt"] = {
["hodnota"] = {
["citatel"] = 47371,
["jmenovatel"] = 3645 },
["render"] = "\\frac{47371}{3645}",
["typ"] = "cislo" },
["tex"] = "12\\frac{3631}{3645}",
["x"] = 12,
["y"] = 3631,
["z"] = 3645 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-14 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + (-13))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "14 - 9",
["typ"] = "minus" },
["render"] = "(14 - 9)",
["typ"] = "zavorka" },
["render"] = "(-14 + (-13))^2 \\cdot (14 - 9)",
["typ"] = "krat" },
["render"] = "\\frac{-14}{(-14 + (-13))^2 \\cdot (14 - 9)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{(-14 + (-13))^2 \\cdot (14 - 9)} - (-13)",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.75, bodu=120, $$\frac{4\frac{2}{11}}{-11} \cdot 3 \cdot 3\frac{1}{7} \cdot -15=\textcolor{white}{53\frac{59}{77}}$$return {
["body"] = 120,
["id"] = "Iqzn7t_0916_0217",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 53.766233766234,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4140,
["jmenovatel"] = 77 },
["render"] = "\\frac{4140}{77}",
["typ"] = "cislo" },
["tex"] = "53\\frac{59}{77}",
["x"] = 53,
["y"] = 59,
["z"] = 77 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{11}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3 \\cdot 3\\frac{1}{7}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{11}}{-11} \\cdot 3 \\cdot 3\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{11}}{-11} \\cdot 3 \\cdot 3\\frac{1}{7} \\cdot -15",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.76, bodu=94, $$\frac{\frac{-7 \cdot 15}{4\frac{2}{3}}}{11 - 15}=\textcolor{white}{5{,}625}$$return {
["body"] = 94,
["id"] = "3BikGz_0916_0217",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 5.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 8 },
["render"] = "\\frac{-45}{-8}",
["typ"] = "cislo" },
["tex"] = "5\\frac{5}{8}",
["tex_float"] = "5{,}625",
["x"] = 5,
["y"] = 5,
["z"] = 8 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 15}{4\\frac{2}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "11 - 15",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-7 \\cdot 15}{4\\frac{2}{3}}}{11 - 15}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.77, bodu=221, $$(4\frac{3}{11} + 1\frac{2}{7}) \cdot (1\frac{4}{12} - 4\frac{3}{7}) \cdot (3\frac{4}{12} + (-9))=\textcolor{white}{97\frac{2393}{4851}}$$return {
["body"] = 221,
["id"] = "vPMUly_0916_0217",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = 97.493300350443,
["objekt"] = {
["hodnota"] = {
["citatel"] = 472940,
["jmenovatel"] = 4851 },
["render"] = "\\frac{472940}{4851}",
["typ"] = "cislo" },
["tex"] = "97\\frac{2393}{4851}",
["x"] = 97,
["y"] = 2393,
["z"] = 4851 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{11} + 1\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{11} + 1\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} - 4\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{12} - 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{3}{11} + 1\\frac{2}{7}) \\cdot (1\\frac{4}{12} - 4\\frac{3}{7})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} + (-9)",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{12} + (-9))",
["typ"] = "zavorka" },
["render"] = "(4\\frac{3}{11} + 1\\frac{2}{7}) \\cdot (1\\frac{4}{12} - 4\\frac{3}{7}) \\cdot (3\\frac{4}{12} + (-9))",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.78, bodu=71, $$\frac{6 \cdot 16 - (-17 \cdot -20)}{-15}=\textcolor{white}{16\frac{4}{15}}$$return {
["body"] = 71,
["id"] = "E1I7dt_0916_0217",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 16.266666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 244,
["jmenovatel"] = 15 },
["render"] = "\\frac{-244}{-15}",
["typ"] = "cislo" },
["tex"] = "16\\frac{4}{15}",
["x"] = 16,
["y"] = 4,
["z"] = 15 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "6 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -20",
["typ"] = "krat" },
["render"] = "6 \\cdot 16 - (-17 \\cdot -20)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 16 - (-17 \\cdot -20)}{-15}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.79, bodu=190, $$(2\frac{5}{7} + 14 + 4\frac{2}{6}) \cdot (12 + \frac{1\frac{1}{6}}{-9} - 2\frac{5}{7})=\textcolor{white}{192\frac{2833}{3969}}$$return {
["body"] = 190,
["id"] = "C2jdPn_0916_0217",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 192.71378180902,
["objekt"] = {
["hodnota"] = {
["citatel"] = 764881,
["jmenovatel"] = 3969 },
["render"] = "\\frac{1529762}{7938}",
["typ"] = "cislo" },
["tex"] = "192\\frac{2833}{3969}",
["x"] = 192,
["y"] = 2833,
["z"] = 3969 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "14 + 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "2\\frac{5}{7} + 14 + 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{7} + 14 + 4\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6}}{-9} - 2\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "12 + \\frac{1\\frac{1}{6}}{-9} - 2\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "(12 + \\frac{1\\frac{1}{6}}{-9} - 2\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{7} + 14 + 4\\frac{2}{6}) \\cdot (12 + \\frac{1\\frac{1}{6}}{-9} - 2\\frac{5}{7})",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.8, bodu=192, $$2\frac{3}{10} - (-14 + 3\frac{2}{5} + 4\frac{4}{13}) \cdot 1\frac{4}{4} \cdot (-10 + 3\frac{3}{8})=\textcolor{white}{-81\frac{19}{260}}$$return {
["body"] = 192,
["id"] = "ulTZou_0916_0217",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = -81.073076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21079,
["jmenovatel"] = 260 },
["render"] = "\\frac{-210790}{2600}",
["typ"] = "cislo" },
["tex"] = "-81\\frac{19}{260}",
["x"] = -81,
["y"] = 19,
["z"] = 260 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{2}{5} + 4\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "(-14 + 3\\frac{2}{5} + 4\\frac{4}{13})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-10 + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(-10 + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{4} \\cdot (-10 + 3\\frac{3}{8})",
["typ"] = "krat" },
["render"] = "(-14 + 3\\frac{2}{5} + 4\\frac{4}{13}) \\cdot 1\\frac{4}{4} \\cdot (-10 + 3\\frac{3}{8})",
["typ"] = "krat" },
["render"] = "2\\frac{3}{10} - (-14 + 3\\frac{2}{5} + 4\\frac{4}{13}) \\cdot 1\\frac{4}{4} \\cdot (-10 + 3\\frac{3}{8})",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.81, bodu=129, $$(4\frac{3}{8} + 1\frac{4}{7} \cdot 13) \cdot -9 \cdot -11 \cdot 15=\textcolor{white}{36833\frac{17}{56}}$$return {
["body"] = 129,
["id"] = "1Tprbl_0916_0217",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 36833.303571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2062665,
["jmenovatel"] = 56 },
["render"] = "\\frac{2062665}{56}",
["typ"] = "cislo" },
["tex"] = "36833\\frac{17}{56}",
["x"] = 36833,
["y"] = 17,
["z"] = 56 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.81",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} \\cdot 13",
["typ"] = "krat" },
["render"] = "4\\frac{3}{8} + 1\\frac{4}{7} \\cdot 13",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{8} + 1\\frac{4}{7} \\cdot 13)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -11 \\cdot 15",
["typ"] = "krat" },
["render"] = "(4\\frac{3}{8} + 1\\frac{4}{7} \\cdot 13) \\cdot -9 \\cdot -11 \\cdot 15",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.82, bodu=76, $$\frac{-11}{11 - (-13)} + \frac{-16 - 17}{-5}=\textcolor{white}{6\frac{17}{120}}$$return {
["body"] = 76,
["id"] = "F7tgdN_0916_0217",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 6.1416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 737,
["jmenovatel"] = 120 },
["render"] = "\\frac{737}{120}",
["typ"] = "cislo" },
["tex"] = "6\\frac{17}{120}",
["x"] = 6,
["y"] = 17,
["z"] = 120 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["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 - (-13)",
["typ"] = "minus" },
["render"] = "\\frac{-11}{11 - (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-16 - 17}{-5}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{11 - (-13)} + \\frac{-16 - 17}{-5}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.83, bodu=141, $$\frac{(\frac{18}{-16})^2}{1\frac{3}{9} + 4\frac{5}{11}} - (-14 - (-13))=\textcolor{white}{1\frac{2673}{12224}}$$return {
["body"] = 141,
["id"] = "WPjbuW_0916_0217",
["obtiznost"] = 1.288,
["reseni"] = {
["float"] = 1.2186681937173,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14897,
["jmenovatel"] = 12224 },
["render"] = "\\frac{14897}{12224}",
["typ"] = "cislo" },
["tex"] = "1\\frac{2673}{12224}",
["x"] = 1,
["y"] = 2673,
["z"] = 12224 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-16}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{18}{-16})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + 4\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{18}{-16})^2}{1\\frac{3}{9} + 4\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-14 - (-13)",
["typ"] = "minus" },
["render"] = "(-14 - (-13))",
["typ"] = "zavorka" },
["render"] = "\\frac{(\\frac{18}{-16})^2}{1\\frac{3}{9} + 4\\frac{5}{11}} - (-14 - (-13))",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.84, bodu=134, $$\frac{-8 \cdot \frac{-11}{1\frac{4}{11}}}{11 + 2\frac{2}{5} + 13 + 16}=\textcolor{white}{1\frac{83}{159}}$$return {
["body"] = 134,
["id"] = "RtJAhy_0916_0217",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 1.5220125786164,
["objekt"] = {
["hodnota"] = {
["citatel"] = 242,
["jmenovatel"] = 159 },
["render"] = "\\frac{4840}{3180}",
["typ"] = "cislo" },
["tex"] = "1\\frac{83}{159}",
["x"] = 1,
["y"] = 83,
["z"] = 159 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{1\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "-8 \\cdot \\frac{-11}{1\\frac{4}{11}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "13 + 16",
["typ"] = "plus" },
["render"] = "11 + 2\\frac{2}{5} + 13 + 16",
["typ"] = "plus" },
["render"] = "\\frac{-8 \\cdot \\frac{-11}{1\\frac{4}{11}}}{11 + 2\\frac{2}{5} + 13 + 16}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.85, bodu=135, $$-4 \cdot (-20 + 1\frac{5}{13} + \frac{22}{-13 + (-12) + 3\frac{5}{8}})=\textcolor{white}{78\frac{1286}{2223}}$$return {
["body"] = 135,
["id"] = "o9JO09_0916_0217",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 78.578497525866,
["objekt"] = {
["hodnota"] = {
["citatel"] = 174680,
["jmenovatel"] = 2223 },
["render"] = "\\frac{174680}{2223}",
["typ"] = "cislo" },
["tex"] = "78\\frac{1286}{2223}",
["x"] = 78,
["y"] = 1286,
["z"] = 2223 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-13 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-13 + (-12) + 3\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "\\frac{22}{-13 + (-12) + 3\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{13} + \\frac{22}{-13 + (-12) + 3\\frac{5}{8}}",
["typ"] = "plus" },
["render"] = "-20 + 1\\frac{5}{13} + \\frac{22}{-13 + (-12) + 3\\frac{5}{8}}",
["typ"] = "plus" },
["render"] = "(-20 + 1\\frac{5}{13} + \\frac{22}{-13 + (-12) + 3\\frac{5}{8}})",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (-20 + 1\\frac{5}{13} + \\frac{22}{-13 + (-12) + 3\\frac{5}{8}})",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.86, bodu=202, $$\frac{\frac{\frac{-9}{3\frac{3}{11} + 4\frac{4}{10} + 4\frac{1}{8}}}{11}}{4\frac{4}{12}}=\textcolor{white}{-\frac{1080}{67483}}$$return {
["body"] = 202,
["id"] = "zkOXJB_0916_0217",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -0.016004030644755,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1080,
["jmenovatel"] = 67483 },
["render"] = "\\frac{-1080}{67483}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1080}{67483}",
["y"] = -1080,
["z"] = 67483 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + 4\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "3\\frac{3}{11} + 4\\frac{4}{10} + 4\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-9}{3\\frac{3}{11} + 4\\frac{4}{10} + 4\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{3\\frac{3}{11} + 4\\frac{4}{10} + 4\\frac{1}{8}}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{-9}{3\\frac{3}{11} + 4\\frac{4}{10} + 4\\frac{1}{8}}}{11}}{4\\frac{4}{12}}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.87, bodu=109, $$\frac{-17 \cdot -12}{12 \cdot 12 - (2\frac{4}{11} - (-12))}=\textcolor{white}{1\frac{409}{713}}$$return {
["body"] = 109,
["id"] = "jG0KDg_0916_0217",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 1.5736325385694,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1122,
["jmenovatel"] = 713 },
["render"] = "\\frac{2244}{1426}",
["typ"] = "cislo" },
["tex"] = "1\\frac{409}{713}",
["x"] = 1,
["y"] = 409,
["z"] = 713 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} - (-12)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{11} - (-12))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot 12 - (2\\frac{4}{11} - (-12))",
["typ"] = "minus" },
["render"] = "\\frac{-17 \\cdot -12}{12 \\cdot 12 - (2\\frac{4}{11} - (-12))}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.88, bodu=175, $$10 + (18 - 11)^2 - (2\frac{2}{8} - \frac{-9}{4\frac{4}{9} + 2\frac{4}{9}})=\textcolor{white}{55\frac{55}{124}}$$return {
["body"] = 175,
["id"] = "tKjKZP_0916_0217",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = 55.443548387097,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6875,
["jmenovatel"] = 124 },
["render"] = "\\frac{6875}{124}",
["typ"] = "cislo" },
["tex"] = "55\\frac{55}{124}",
["x"] = 55,
["y"] = 55,
["z"] = 124 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "18 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(18 - 11)^2",
["typ"] = "mocnina" },
["render"] = "10 + (18 - 11)^2",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{-9}{4\\frac{4}{9} + 2\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{8} - \\frac{-9}{4\\frac{4}{9} + 2\\frac{4}{9}}",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{8} - \\frac{-9}{4\\frac{4}{9} + 2\\frac{4}{9}})",
["typ"] = "zavorka" },
["render"] = "10 + (18 - 11)^2 - (2\\frac{2}{8} - \\frac{-9}{4\\frac{4}{9} + 2\\frac{4}{9}})",
["typ"] = "minus" } }
seed: GeV8cso8oenoxMmWAkvE_0.89, bodu=211, $$18 + (2\frac{4}{8} - (3\frac{3}{9} - (1\frac{5}{9} \cdot 1\frac{2}{4})^2)) \cdot -20=\textcolor{white}{-74\frac{2}{9}}$$return {
["body"] = 211,
["id"] = "elFLO1_0916_0217",
["obtiznost"] = 1.7132,
["reseni"] = {
["float"] = -74.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -668,
["jmenovatel"] = 9 },
["render"] = "\\frac{-668}{9}",
["typ"] = "cislo" },
["tex"] = "-74\\frac{2}{9}",
["x"] = -74,
["y"] = 2,
["z"] = 9 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot 1\\frac{2}{4}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{5}{9} \\cdot 1\\frac{2}{4})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{3}{9} - (1\\frac{5}{9} \\cdot 1\\frac{2}{4})^2",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{9} - (1\\frac{5}{9} \\cdot 1\\frac{2}{4})^2)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{8} - (3\\frac{3}{9} - (1\\frac{5}{9} \\cdot 1\\frac{2}{4})^2)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{8} - (3\\frac{3}{9} - (1\\frac{5}{9} \\cdot 1\\frac{2}{4})^2))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{8} - (3\\frac{3}{9} - (1\\frac{5}{9} \\cdot 1\\frac{2}{4})^2)) \\cdot -20",
["typ"] = "krat" },
["render"] = "18 + (2\\frac{4}{8} - (3\\frac{3}{9} - (1\\frac{5}{9} \\cdot 1\\frac{2}{4})^2)) \\cdot -20",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.9, bodu=143, $$\frac{\frac{4\frac{4}{10}}{16} + 18 - (-6) - 2\frac{1}{8}}{-19}=\textcolor{white}{-1\frac{63}{380}}$$return {
["body"] = 143,
["id"] = "ANfXHV_0916_0217",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -1.1657894736842,
["objekt"] = {
["hodnota"] = {
["citatel"] = -443,
["jmenovatel"] = 380 },
["render"] = "\\frac{443}{-380}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{63}{380}",
["x"] = -1,
["y"] = 63,
["z"] = 380 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{16} + 18",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{16} + 18 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{10}}{16} + 18 - (-6) - 2\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{4}{10}}{16} + 18 - (-6) - 2\\frac{1}{8}}{-19}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.91, bodu=115, $$8 \cdot 13 \cdot (-9 + 1\frac{5}{8} + 15) \cdot 16=\textcolor{white}{12688}$$return {
["body"] = 115,
["id"] = "7vRisM_0916_0217",
["obtiznost"] = 1.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12688,
["jmenovatel"] = 1 },
["render"] = "\\frac{12688}{1}",
["typ"] = "cislo" },
["tex"] = "12688",
["tex_float"] = "12688",
["x"] = 12688 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{5}{8} + 15",
["typ"] = "plus" },
["render"] = "(-9 + 1\\frac{5}{8} + 15)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 13 \\cdot (-9 + 1\\frac{5}{8} + 15)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13 \\cdot (-9 + 1\\frac{5}{8} + 15) \\cdot 16",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.92, bodu=178, $$\frac{1\frac{2}{8} - 11 - (-8 - 2\frac{2}{9}) \cdot -20}{1\frac{1}{10}}=\textcolor{white}{-194\frac{13}{18}}$$return {
["body"] = 178,
["id"] = "LVIVM6_0916_0217",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -194.72222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3505,
["jmenovatel"] = 18 },
["render"] = "\\frac{-77110}{396}",
["typ"] = "cislo" },
["tex"] = "-194\\frac{13}{18}",
["x"] = -194,
["y"] = 13,
["z"] = 18 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-8 - 2\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(-8 - 2\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "(-8 - 2\\frac{2}{9}) \\cdot -20",
["typ"] = "krat" },
["render"] = "1\\frac{2}{8} - 11 - (-8 - 2\\frac{2}{9}) \\cdot -20",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{8} - 11 - (-8 - 2\\frac{2}{9}) \\cdot -20}{1\\frac{1}{10}}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.93, bodu=148, $$(-10 \cdot -11 + 4\frac{3}{5}) \cdot 17 \cdot 1\frac{2}{8} \cdot -15=\textcolor{white}{-36528{,}75}$$return {
["body"] = 148,
["id"] = "KQqoXe_0916_0217",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -36528.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -146115,
["jmenovatel"] = 4 },
["render"] = "\\frac{-730575}{20}",
["typ"] = "cislo" },
["tex"] = "-36528\\frac{3}{4}",
["tex_float"] = "-36528{,}75",
["x"] = -36528,
["y"] = 3,
["z"] = 4 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.93",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -11 + 4\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(-10 \\cdot -11 + 4\\frac{3}{5})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} \\cdot -15",
["typ"] = "krat" },
["render"] = "17 \\cdot 1\\frac{2}{8} \\cdot -15",
["typ"] = "krat" },
["render"] = "(-10 \\cdot -11 + 4\\frac{3}{5}) \\cdot 17 \\cdot 1\\frac{2}{8} \\cdot -15",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.94, bodu=119, $$-18 - 3\frac{1}{8} + 18 - 17 \cdot \frac{-13}{17}=\textcolor{white}{9{,}875}$$return {
["body"] = 119,
["id"] = "hKe1tL_0916_0217",
["obtiznost"] = 1.14,
["reseni"] = {
["float"] = 9.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 79,
["jmenovatel"] = 8 },
["render"] = "\\frac{79}{8}",
["typ"] = "cislo" },
["tex"] = "9\\frac{7}{8}",
["tex_float"] = "9{,}875",
["x"] = 9,
["y"] = 7,
["z"] = 8 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-18 - 3\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{17}",
["typ"] = "lomeno" },
["render"] = "17 \\cdot \\frac{-13}{17}",
["typ"] = "krat" },
["render"] = "18 - 17 \\cdot \\frac{-13}{17}",
["typ"] = "minus" },
["render"] = "-18 - 3\\frac{1}{8} + 18 - 17 \\cdot \\frac{-13}{17}",
["typ"] = "plus" } }
seed: GeV8cso8oenoxMmWAkvE_0.95, bodu=183, $$\frac{3\frac{2}{10} + 3\frac{3}{5} \cdot 18}{\frac{4\frac{2}{5} + (-14)}{-20}}=\textcolor{white}{141\frac{2}{3}}$$return {
["body"] = 183,
["id"] = "2beUSu_0916_0217",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 141.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 425,
["jmenovatel"] = 3 },
["render"] = "\\frac{1700}{12}",
["typ"] = "cislo" },
["tex"] = "141\\frac{2}{3}",
["x"] = 141,
["y"] = 2,
["z"] = 3 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot 18",
["typ"] = "krat" },
["render"] = "3\\frac{2}{10} + 3\\frac{3}{5} \\cdot 18",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5} + (-14)}{-20}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{10} + 3\\frac{3}{5} \\cdot 18}{\\frac{4\\frac{2}{5} + (-14)}{-20}}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.96, bodu=185, $$\frac{-12 \cdot -16 - (17 + 3\frac{1}{9}) \cdot 4\frac{3}{7}}{4\frac{3}{9}}=\textcolor{white}{23\frac{206}{273}}$$return {
["body"] = 185,
["id"] = "I4PZ0h_0916_0217",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 23.754578754579,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6485,
["jmenovatel"] = 273 },
["render"] = "\\frac{19455}{819}",
["typ"] = "cislo" },
["tex"] = "23\\frac{206}{273}",
["x"] = 23,
["y"] = 206,
["z"] = 273 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.96",
["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 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "17 + 3\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(17 + 3\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(17 + 3\\frac{1}{9}) \\cdot 4\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "-12 \\cdot -16 - (17 + 3\\frac{1}{9}) \\cdot 4\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-12 \\cdot -16 - (17 + 3\\frac{1}{9}) \\cdot 4\\frac{3}{7}}{4\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: GeV8cso8oenoxMmWAkvE_0.97, bodu=221, $$(1\frac{2}{11} + 9 + (-9)) \cdot (\frac{1\frac{2}{11}}{3\frac{2}{12}} - (-12) - 2\frac{4}{9})=\textcolor{white}{11\frac{15187}{20691}}$$return {
["body"] = 221,
["id"] = "mEBJa6_0916_0217",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = 11.733990623943,
["objekt"] = {
["hodnota"] = {
["citatel"] = 242788,
["jmenovatel"] = 20691 },
["render"] = "\\frac{242788}{20691}",
["typ"] = "cislo" },
["tex"] = "11\\frac{15187}{20691}",
["x"] = 11,
["y"] = 15187,
["z"] = 20691 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.97",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{11} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{11} + 9 + (-9)",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{11} + 9 + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{11}}{3\\frac{2}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{11}}{3\\frac{2}{12}} - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{11}}{3\\frac{2}{12}} - (-12) - 2\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{2}{11}}{3\\frac{2}{12}} - (-12) - 2\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{2}{11} + 9 + (-9)) \\cdot (\\frac{1\\frac{2}{11}}{3\\frac{2}{12}} - (-12) - 2\\frac{4}{9})",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.98, bodu=260, $$(4\frac{1}{8} - \frac{2\frac{3}{7}}{17}) \cdot 1\frac{5}{14} \cdot (1\frac{5}{13} + 2\frac{1}{7})=\textcolor{white}{19\frac{4541}{71344}}$$return {
["body"] = 260,
["id"] = "qdMS69_0916_0217",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 19.063649360843,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1360077,
["jmenovatel"] = 71344 },
["render"] = "\\frac{1360077}{71344}",
["typ"] = "cislo" },
["tex"] = "19\\frac{4541}{71344}",
["x"] = 19,
["y"] = 4541,
["z"] = 71344 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.98",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7}}{17}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{8} - \\frac{2\\frac{3}{7}}{17}",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{8} - \\frac{2\\frac{3}{7}}{17})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} + 2\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{13} + 2\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{14} \\cdot (1\\frac{5}{13} + 2\\frac{1}{7})",
["typ"] = "krat" },
["render"] = "(4\\frac{1}{8} - \\frac{2\\frac{3}{7}}{17}) \\cdot 1\\frac{5}{14} \\cdot (1\\frac{5}{13} + 2\\frac{1}{7})",
["typ"] = "krat" } }
seed: GeV8cso8oenoxMmWAkvE_0.99, bodu=206, $$(-9 + 21) \cdot \frac{\frac{4\frac{3}{5}}{4\frac{5}{9}}}{(11 + 4)^2 - 4\frac{5}{10}}=\textcolor{white}{\frac{552}{10045}}$$return {
["body"] = 206,
["id"] = "EDGaOQ_0916_0217",
["obtiznost"] = 1.6804,
["reseni"] = {
["float"] = 0.054952712792434,
["objekt"] = {
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["jmenovatel"] = 10045 },
["render"] = "\\frac{552}{10045}",
["typ"] = "cislo" },
["tex"] = "\\frac{552}{10045}",
["y"] = 552,
["z"] = 10045 },
["seed"] = "GeV8cso8oenoxMmWAkvE_0.99",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
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["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "-9 + 21",
["typ"] = "plus" },
["render"] = "(-9 + 21)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
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["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
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["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{5}}{4\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
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["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(11 + 4)^2 - 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{4\\frac{3}{5}}{4\\frac{5}{9}}}{(11 + 4)^2 - 4\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "(-9 + 21) \\cdot \\frac{\\frac{4\\frac{3}{5}}{4\\frac{5}{9}}}{(11 + 4)^2 - 4\\frac{5}{10}}",
["typ"] = "krat" } }
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