- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: ZwoET2606kICJWVxPgM6_0, bodu=21, $$(\frac{(\frac{-7}{7})^2}{5})^4=\textcolor{white}{\frac{1}{625}}$$return {
["body"] = 21,
["id"] = "iJDEyX_1117_1024",
["obtiznost"] = 0.2512,
["reseni"] = {
["float"] = 0.0016,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 625 },
["render"] = "\\frac{1}{625}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{625}",
["y"] = 1,
["z"] = 625 },
["seed"] = "ZwoET2606kICJWVxPgM6_0",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-7}{7})^2}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{(\\frac{-7}{7})^2}{5})^4",
["typ"] = "mocnina" } }
seed: ZwoET2606kICJWVxPgM6_0.01, bodu=5, $$10 + 7 - (7 + 7 + 7)=\textcolor{white}{-4}$$return {
["body"] = 5,
["id"] = "GqJyhN_1117_1024",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4}{1}",
["typ"] = "cislo" },
["tex"] = "-4",
["x"] = -4 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 7",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["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"] = "plus" },
["render"] = "7 + 7 + 7",
["typ"] = "plus" },
["render"] = "(7 + 7 + 7)",
["typ"] = "zavorka" },
["render"] = "10 + 7 - (7 + 7 + 7)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.02, bodu=10, $$\frac{\frac{8}{6}}{-5 + (-7)}=\textcolor{white}{-\frac{1}{9}}$$return {
["body"] = 10,
["id"] = "01LTGh_1117_1024",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = -0.11111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 9 },
["render"] = "\\frac{4}{-36}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{9}",
["y"] = -1,
["z"] = 9 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.02",
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-5 + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{8}{6}}{-5 + (-7)}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.03, bodu=5, $$7 \cdot 5 \cdot -3=\textcolor{white}{-105}$$return {
["body"] = 5,
["id"] = "WaJETf_1117_1024",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -105,
["jmenovatel"] = 1 },
["render"] = "\\frac{-105}{1}",
["typ"] = "cislo" },
["tex"] = "-105",
["tex_float"] = "-105",
["x"] = -105 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "7 \\cdot 5 \\cdot -3",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.04, bodu=12, $$\frac{6}{(\frac{6}{-10})^3}=\textcolor{white}{-27\frac{7}{9}}$$return {
["body"] = 12,
["id"] = "AyVAlB_1117_1024",
["obtiznost"] = 0.1008,
["reseni"] = {
["float"] = -27.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -250,
["jmenovatel"] = 9 },
["render"] = "\\frac{750}{-27}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{7}{9}",
["x"] = -27,
["y"] = 7,
["z"] = 9 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{-10})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{6}{(\\frac{6}{-10})^3}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.05, bodu=11, $$\frac{5}{\frac{8 - 6}{7}}=\textcolor{white}{17{,}5}$$return {
["body"] = 11,
["id"] = "AGtPCx_1117_1024",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 17.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 2 },
["render"] = "\\frac{35}{2}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1}{2}",
["tex_float"] = "17{,}5",
["x"] = 17,
["y"] = 1,
["z"] = 2 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8 - 6}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{8 - 6}{7}}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.06, bodu=11, $$-6 \cdot \frac{6}{8}=\textcolor{white}{-4{,}5}$$return {
["body"] = 11,
["id"] = "n9q4I3_1117_1024",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = -4.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 2 },
["render"] = "\\frac{-18}{4}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{2}",
["tex_float"] = "-4{,}5",
["x"] = -4,
["y"] = 1,
["z"] = 2 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{8}",
["typ"] = "lomeno" },
["render"] = "-6 \\cdot \\frac{6}{8}",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.07, bodu=5, $$9 \cdot 5 + 7 - 5=\textcolor{white}{47}$$return {
["body"] = 5,
["id"] = "o4rkMI_1117_1024",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 1 },
["render"] = "\\frac{47}{1}",
["typ"] = "cislo" },
["tex"] = "47",
["tex_float"] = "47",
["x"] = 47 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["render"] = "9 \\cdot 5 + 7 - 5",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.08, bodu=6, $$-10 + 8 \cdot 7 + 6=\textcolor{white}{52}$$return {
["body"] = 6,
["id"] = "hytMA4_1117_1024",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 52,
["jmenovatel"] = 1 },
["render"] = "\\frac{52}{1}",
["typ"] = "cislo" },
["tex"] = "52",
["tex_float"] = "52",
["x"] = 52 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7",
["typ"] = "krat" },
["render"] = "-10 + 8 \\cdot 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 + 8 \\cdot 7 + 6",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.09, bodu=24, $$5 \cdot 4 \cdot (-9 + 1\frac{2}{7})=\textcolor{white}{-154\frac{2}{7}}$$return {
["body"] = 24,
["id"] = "sgPjoI_1117_1024",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -154.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1080,
["jmenovatel"] = 7 },
["render"] = "\\frac{-1080}{7}",
["typ"] = "cislo" },
["tex"] = "-154\\frac{2}{7}",
["x"] = -154,
["y"] = 2,
["z"] = 7 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(-9 + 1\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "5 \\cdot 4 \\cdot (-9 + 1\\frac{2}{7})",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.1, bodu=12, $$(\frac{8}{6} - 9) \cdot 4=\textcolor{white}{-30\frac{2}{3}}$$return {
["body"] = 12,
["id"] = "53Dfmo_1117_1024",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = -30.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92,
["jmenovatel"] = 3 },
["render"] = "\\frac{-92}{3}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{2}{3}",
["x"] = -30,
["y"] = 2,
["z"] = 3 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.1",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6} - 9",
["typ"] = "minus" },
["render"] = "(\\frac{8}{6} - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(\\frac{8}{6} - 9) \\cdot 4",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.11, bodu=13, $$(3 \cdot (-7 + 7 + 8))^2=\textcolor{white}{576}$$return {
["body"] = 13,
["id"] = "jyLnzB_1117_1024",
["obtiznost"] = 0.3408,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 576,
["jmenovatel"] = 1 },
["render"] = "\\frac{576}{1}",
["typ"] = "cislo" },
["tex"] = "576",
["x"] = 576 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "-7 + 7 + 8",
["typ"] = "plus" },
["render"] = "(-7 + 7 + 8)",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (-7 + 7 + 8)",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(3 \\cdot (-7 + 7 + 8))^2",
["typ"] = "mocnina" } }
seed: ZwoET2606kICJWVxPgM6_0.12, bodu=13, $$\frac{4}{7 \cdot 9 + 3}=\textcolor{white}{\frac{2}{33}}$$return {
["body"] = 13,
["id"] = "MqRvTM_1117_1024",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 0.060606060606061,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 33 },
["render"] = "\\frac{4}{66}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{33}",
["y"] = 2,
["z"] = 33 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9 + 3",
["typ"] = "plus" },
["render"] = "\\frac{4}{7 \\cdot 9 + 3}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.13, bodu=7, $$-7 + (-8) + 8 \cdot 11=\textcolor{white}{73}$$return {
["body"] = 7,
["id"] = "O1W6sw_1117_1024",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 73,
["jmenovatel"] = 1 },
["render"] = "\\frac{73}{1}",
["typ"] = "cislo" },
["tex"] = "73",
["tex_float"] = "73",
["x"] = 73 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.13",
["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"] = "plus" },
["c2"] = {
["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" },
["render"] = "-7 + (-8) + 8 \\cdot 11",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.14, bodu=32, $$6 \cdot \frac{3\frac{5}{8}}{(-6 - 6)^2}=\textcolor{white}{\frac{29}{192}}$$return {
["body"] = 32,
["id"] = "BjNgAM_1117_1024",
["obtiznost"] = 0.398,
["reseni"] = {
["float"] = 0.15104166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 192 },
["render"] = "\\frac{174}{1152}",
["typ"] = "cislo" },
["tex"] = "\\frac{29}{192}",
["y"] = 29,
["z"] = 192 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-6 - 6",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-6 - 6)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{5}{8}}{(-6 - 6)^2}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{3\\frac{5}{8}}{(-6 - 6)^2}",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.15, bodu=15, $$\frac{5}{9 + 8 + 6}=\textcolor{white}{\frac{5}{23}}$$return {
["body"] = 15,
["id"] = "rMMBqG_1117_1024",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 0.21739130434783,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 23 },
["render"] = "\\frac{5}{23}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{23}",
["y"] = 5,
["z"] = 23 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 + 8 + 6",
["typ"] = "plus" },
["render"] = "\\frac{5}{9 + 8 + 6}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.16, bodu=16, $$(8 - (-8 - (3 + 6)))^2=\textcolor{white}{625}$$return {
["body"] = 16,
["id"] = "61ts9g_1117_1024",
["obtiznost"] = 0.4104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 1 },
["render"] = "\\frac{625}{1}",
["typ"] = "cislo" },
["tex"] = "625",
["tex_float"] = "625",
["x"] = 625 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 + 6",
["typ"] = "plus" },
["render"] = "(3 + 6)",
["typ"] = "zavorka" },
["render"] = "-8 - (3 + 6)",
["typ"] = "minus" },
["render"] = "(-8 - (3 + 6))",
["typ"] = "zavorka" },
["render"] = "8 - (-8 - (3 + 6))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-8 - (3 + 6)))^2",
["typ"] = "mocnina" } }
seed: ZwoET2606kICJWVxPgM6_0.17, bodu=16, $$8 \cdot \frac{10}{10}=\textcolor{white}{8}$$return {
["body"] = 16,
["id"] = "3yE9Oj_1117_1024",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["x"] = 8 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{10}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{10}{10}",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.18, bodu=16, $$\frac{\frac{-8 - (-9)}{8}}{6}=\textcolor{white}{\frac{1}{48}}$$return {
["body"] = 16,
["id"] = "yPQpue_1117_1024",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 0.020833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 48 },
["render"] = "\\frac{1}{48}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{48}",
["y"] = 1,
["z"] = 48 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - (-9)}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8 - (-9)}{8}}{6}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.19, bodu=31, $$7 - (11 + 10) \cdot 2\frac{2}{5}=\textcolor{white}{-43{,}4}$$return {
["body"] = 31,
["id"] = "pbSYJb_1117_1024",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -43.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -217,
["jmenovatel"] = 5 },
["render"] = "\\frac{-217}{5}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{2}{5}",
["tex_float"] = "-43{,}4",
["x"] = -43,
["y"] = 2,
["z"] = 5 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 10",
["typ"] = "plus" },
["render"] = "(11 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(11 + 10) \\cdot 2\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "7 - (11 + 10) \\cdot 2\\frac{2}{5}",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.2, bodu=18, $$\frac{8}{9 + (-5 \cdot 10)}=\textcolor{white}{-\frac{8}{41}}$$return {
["body"] = 18,
["id"] = "BG1j9l_1117_1024",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -0.19512195121951,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 41 },
["render"] = "\\frac{8}{-41}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{41}",
["y"] = -8,
["z"] = 41 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 10",
["typ"] = "krat" },
["render"] = "9 + (-5 \\cdot 10)",
["typ"] = "plus" },
["render"] = "\\frac{8}{9 + (-5 \\cdot 10)}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.21, bodu=33, $$2\frac{1}{2} - 9 \cdot -14 - (-8)=\textcolor{white}{136{,}5}$$return {
["body"] = 33,
["id"] = "GpiWwm_1117_1024",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 136.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 273,
["jmenovatel"] = 2 },
["render"] = "\\frac{273}{2}",
["typ"] = "cislo" },
["tex"] = "136\\frac{1}{2}",
["tex_float"] = "136{,}5",
["x"] = 136,
["y"] = 1,
["z"] = 2 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "9 \\cdot -14",
["typ"] = "krat" },
["render"] = "2\\frac{1}{2} - 9 \\cdot -14",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{2} - 9 \\cdot -14 - (-8)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.22, bodu=34, $$5 \cdot 1\frac{2}{6} - (5 - 11)=\textcolor{white}{12\frac{2}{3}}$$return {
["body"] = 34,
["id"] = "wVOqFp_1117_1024",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 12.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 3 },
["render"] = "\\frac{38}{3}",
["typ"] = "cislo" },
["tex"] = "12\\frac{2}{3}",
["x"] = 12,
["y"] = 2,
["z"] = 3 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 - 11",
["typ"] = "minus" },
["render"] = "(5 - 11)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot 1\\frac{2}{6} - (5 - 11)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.23, bodu=35, $$\frac{4\frac{4}{7}}{11 + 8} - (-4 - 8)=\textcolor{white}{12\frac{32}{133}}$$return {
["body"] = 35,
["id"] = "7VWnjT_1117_1024",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 12.240601503759,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1628,
["jmenovatel"] = 133 },
["render"] = "\\frac{1628}{133}",
["typ"] = "cislo" },
["tex"] = "12\\frac{32}{133}",
["x"] = 12,
["y"] = 32,
["z"] = 133 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 + 8",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{7}}{11 + 8}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-4 - 8",
["typ"] = "minus" },
["render"] = "(-4 - 8)",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{4}{7}}{11 + 8} - (-4 - 8)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.24, bodu=10, $$6 \cdot 10 - (-7 \cdot 7)=\textcolor{white}{109}$$return {
["body"] = 10,
["id"] = "1p3Igf_1117_1024",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 109,
["jmenovatel"] = 1 },
["render"] = "\\frac{109}{1}",
["typ"] = "cislo" },
["tex"] = "109",
["tex_float"] = "109",
["x"] = 109 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 7",
["typ"] = "krat" },
["render"] = "6 \\cdot 10 - (-7 \\cdot 7)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.25, bodu=10, $$(4 - (7 + 9)) \cdot 11 \cdot -5=\textcolor{white}{660}$$return {
["body"] = 10,
["id"] = "xVtlL9_1117_1024",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 660,
["jmenovatel"] = 1 },
["render"] = "\\frac{660}{1}",
["typ"] = "cislo" },
["tex"] = "660",
["tex_float"] = "660",
["x"] = 660 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["render"] = "(7 + 9)",
["typ"] = "zavorka" },
["render"] = "4 - (7 + 9)",
["typ"] = "minus" },
["render"] = "(4 - (7 + 9))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "11 \\cdot -5",
["typ"] = "krat" },
["render"] = "(4 - (7 + 9)) \\cdot 11 \\cdot -5",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.26, bodu=22, $$\frac{(5 - 10)^2}{11 \cdot 5}=\textcolor{white}{\frac{5}{11}}$$return {
["body"] = 22,
["id"] = "h6f0Q6_1117_1024",
["obtiznost"] = 0.2704,
["reseni"] = {
["float"] = 0.45454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 11 },
["render"] = "\\frac{25}{55}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{11}",
["y"] = 5,
["z"] = 11 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.26",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{(5 - 10)^2}{11 \\cdot 5}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.27, bodu=22, $$\frac{6}{-13} \cdot (11 + 7)=\textcolor{white}{-8\frac{4}{13}}$$return {
["body"] = 22,
["id"] = "wbCXz8_1117_1024",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -8.3076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 13 },
["render"] = "\\frac{-108}{13}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{4}{13}",
["x"] = -8,
["y"] = 4,
["z"] = 13 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 7",
["typ"] = "plus" },
["render"] = "(11 + 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{-13} \\cdot (11 + 7)",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.28, bodu=39, $$\frac{-7}{\frac{3\frac{5}{8} + (-6 + 10)}{12}}=\textcolor{white}{-11\frac{1}{61}}$$return {
["body"] = 39,
["id"] = "bv7ke5_1117_1024",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -11.016393442623,
["objekt"] = {
["hodnota"] = {
["citatel"] = -672,
["jmenovatel"] = 61 },
["render"] = "\\frac{-672}{61}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{1}{61}",
["x"] = -11,
["y"] = 1,
["z"] = 61 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "3\\frac{5}{8} + (-6 + 10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8} + (-6 + 10)}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{\\frac{3\\frac{5}{8} + (-6 + 10)}{12}}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.29, bodu=40, $$\frac{1\frac{2}{5} - 5}{6 \cdot 8}=\textcolor{white}{-0{,}075}$$return {
["body"] = 40,
["id"] = "nJ8zlB_1117_1024",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = -0.075,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 40 },
["render"] = "\\frac{-18}{240}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{40}",
["tex_float"] = "-0{,}075",
["y"] = -3,
["z"] = 40 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{5} - 5}{6 \\cdot 8}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.3, bodu=41, $$\frac{1\frac{4}{9}}{7} \cdot -11 + 10=\textcolor{white}{7\frac{46}{63}}$$return {
["body"] = 41,
["id"] = "PrbO5I_1117_1024",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 7.7301587301587,
["objekt"] = {
["hodnota"] = {
["citatel"] = 487,
["jmenovatel"] = 63 },
["render"] = "\\frac{487}{63}",
["typ"] = "cislo" },
["tex"] = "7\\frac{46}{63}",
["x"] = 7,
["y"] = 46,
["z"] = 63 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{7} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{7} \\cdot -11 + 10",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.31, bodu=26, $$(\frac{6}{\frac{4 \cdot -8}{8}})^3=\textcolor{white}{-3{,}375}$$return {
["body"] = 26,
["id"] = "Bogo7B_1117_1024",
["obtiznost"] = 0.324,
["reseni"] = {
["float"] = -3.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 8 },
["render"] = "\\frac{-27}{8}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{8}",
["tex_float"] = "-3{,}375",
["x"] = -3,
["y"] = 3,
["z"] = 8 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.31",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot -8}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{4 \\cdot -8}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{\\frac{4 \\cdot -8}{8}})^3",
["typ"] = "mocnina" } }
seed: ZwoET2606kICJWVxPgM6_0.32, bodu=64, $$11 \cdot (\frac{4\frac{5}{8}}{4\frac{3}{6}} + (-6) - 9)=\textcolor{white}{-153\frac{25}{36}}$$return {
["body"] = 64,
["id"] = "pYRxob_1117_1024",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -153.69444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5533,
["jmenovatel"] = 36 },
["render"] = "\\frac{-5533}{36}",
["typ"] = "cislo" },
["tex"] = "-153\\frac{25}{36}",
["x"] = -153,
["y"] = 25,
["z"] = 36 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8}}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8}}{4\\frac{3}{6}} + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8}}{4\\frac{3}{6}} + (-6) - 9",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{5}{8}}{4\\frac{3}{6}} + (-6) - 9)",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (\\frac{4\\frac{5}{8}}{4\\frac{3}{6}} + (-6) - 9)",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.33, bodu=27, $$\frac{14 \cdot \frac{-7}{9}}{4}=\textcolor{white}{-2\frac{13}{18}}$$return {
["body"] = 27,
["id"] = "5ClF34_1117_1024",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = -2.7222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 18 },
["render"] = "\\frac{-98}{36}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{13}{18}",
["x"] = -2,
["y"] = 13,
["z"] = 18 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{9}",
["typ"] = "lomeno" },
["render"] = "14 \\cdot \\frac{-7}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot \\frac{-7}{9}}{4}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.34, bodu=27, $$\frac{3}{14 - (-11 - 6)}=\textcolor{white}{\frac{3}{31}}$$return {
["body"] = 27,
["id"] = "BjDyUi_1117_1024",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 0.096774193548387,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 31 },
["render"] = "\\frac{3}{31}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{31}",
["y"] = 3,
["z"] = 31 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-11 - 6)",
["typ"] = "zavorka" },
["render"] = "14 - (-11 - 6)",
["typ"] = "minus" },
["render"] = "\\frac{3}{14 - (-11 - 6)}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.35, bodu=14, $$(8 + 11 - (10 + (-8))) \cdot (-13 + 11)^4=\textcolor{white}{272}$$return {
["body"] = 14,
["id"] = "Ufpj68_1117_1024",
["obtiznost"] = 0.3568,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 272,
["jmenovatel"] = 1 },
["render"] = "\\frac{272}{1}",
["typ"] = "cislo" },
["tex"] = "272",
["tex_float"] = "272",
["x"] = 272 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 + 11",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 + (-8)",
["typ"] = "plus" },
["render"] = "(10 + (-8))",
["typ"] = "zavorka" },
["render"] = "8 + 11 - (10 + (-8))",
["typ"] = "minus" },
["render"] = "(8 + 11 - (10 + (-8)))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 + 11",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-13 + 11)^4",
["typ"] = "mocnina" },
["render"] = "(8 + 11 - (10 + (-8))) \\cdot (-13 + 11)^4",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.36, bodu=47, $$(14 + (-8)) \cdot 7 + (-4 + 1\frac{4}{8})=\textcolor{white}{39{,}5}$$return {
["body"] = 47,
["id"] = "UwqDgL_1117_1024",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 39.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 79,
["jmenovatel"] = 2 },
["render"] = "\\frac{79}{2}",
["typ"] = "cislo" },
["tex"] = "39\\frac{1}{2}",
["tex_float"] = "39{,}5",
["x"] = 39,
["y"] = 1,
["z"] = 2 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 + (-8)",
["typ"] = "plus" },
["render"] = "(14 + (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(14 + (-8)) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(14 + (-8)) \\cdot 7 + (-4 + 1\\frac{4}{8})",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.37, bodu=48, $$\frac{-8 \cdot 3\frac{3}{9}}{-10 + 13}=\textcolor{white}{-8\frac{8}{9}}$$return {
["body"] = 48,
["id"] = "SC2JIl_1117_1024",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = -8.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 9 },
["render"] = "\\frac{-80}{9}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{8}{9}",
["x"] = -8,
["y"] = 8,
["z"] = 9 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 3\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 + 13",
["typ"] = "plus" },
["render"] = "\\frac{-8 \\cdot 3\\frac{3}{9}}{-10 + 13}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.38, bodu=71, $$4\frac{2}{7} + \frac{8 + (-16)}{1\frac{2}{7} - 8}=\textcolor{white}{5\frac{157}{329}}$$return {
["body"] = 71,
["id"] = "ZuVrys_1117_1024",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 5.4772036474164,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1802,
["jmenovatel"] = 329 },
["render"] = "\\frac{1802}{329}",
["typ"] = "cislo" },
["tex"] = "5\\frac{157}{329}",
["x"] = 5,
["y"] = 157,
["z"] = 329 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "8 + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 8",
["typ"] = "minus" },
["render"] = "\\frac{8 + (-16)}{1\\frac{2}{7} - 8}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{7} + \\frac{8 + (-16)}{1\\frac{2}{7} - 8}",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.39, bodu=31, $$\frac{13 - (-13)}{9 - 7}=\textcolor{white}{13}$$return {
["body"] = 31,
["id"] = "kWR08f_1117_1024",
["obtiznost"] = 0.39,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "\\frac{26}{2}",
["typ"] = "cislo" },
["tex"] = "13",
["tex_float"] = "13",
["x"] = 13 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 7",
["typ"] = "minus" },
["render"] = "\\frac{13 - (-13)}{9 - 7}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.4, bodu=85, $$\frac{(-4 + 13)^3}{4\frac{3}{5} + 10 \cdot 3}=\textcolor{white}{21\frac{12}{173}}$$return {
["body"] = 85,
["id"] = "OTUhxw_1117_1024",
["obtiznost"] = 0.892,
["reseni"] = {
["float"] = 21.06936416185,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3645,
["jmenovatel"] = 173 },
["render"] = "\\frac{3645}{173}",
["typ"] = "cislo" },
["tex"] = "21\\frac{12}{173}",
["x"] = 21,
["y"] = 12,
["z"] = 173 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.4",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-4 + 13",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-4 + 13)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3",
["typ"] = "krat" },
["render"] = "4\\frac{3}{5} + 10 \\cdot 3",
["typ"] = "plus" },
["render"] = "\\frac{(-4 + 13)^3}{4\\frac{3}{5} + 10 \\cdot 3}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.41, bodu=75, $$(13 \cdot 2\frac{4}{11} - (15 + 4\frac{3}{10})) \cdot -9=\textcolor{white}{-102\frac{93}{110}}$$return {
["body"] = 75,
["id"] = "XDJuts_1117_1024",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -102.84545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11313,
["jmenovatel"] = 110 },
["render"] = "\\frac{-11313}{110}",
["typ"] = "cislo" },
["tex"] = "-102\\frac{93}{110}",
["x"] = -102,
["y"] = 93,
["z"] = 110 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.41",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 2\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "15 + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(15 + 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot 2\\frac{4}{11} - (15 + 4\\frac{3}{10})",
["typ"] = "minus" },
["render"] = "(13 \\cdot 2\\frac{4}{11} - (15 + 4\\frac{3}{10}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(13 \\cdot 2\\frac{4}{11} - (15 + 4\\frac{3}{10})) \\cdot -9",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.42, bodu=17, $$13 \cdot (12 \cdot 15 + 14) - 9=\textcolor{white}{2513}$$return {
["body"] = 17,
["id"] = "9Q98NR_1117_1024",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2513,
["jmenovatel"] = 1 },
["render"] = "\\frac{2513}{1}",
["typ"] = "cislo" },
["tex"] = "2513",
["tex_float"] = "2513",
["x"] = 2513 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "12 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "12 \\cdot 15 + 14",
["typ"] = "plus" },
["render"] = "(12 \\cdot 15 + 14)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (12 \\cdot 15 + 14)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 \\cdot (12 \\cdot 15 + 14) - 9",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.43, bodu=78, $$\frac{3\frac{3}{6}}{3\frac{5}{9}} \cdot (9 - 3 \cdot 7)=\textcolor{white}{-11\frac{13}{16}}$$return {
["body"] = 78,
["id"] = "7Gsfnw_1117_1024",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -11.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -189,
["jmenovatel"] = 16 },
["render"] = "\\frac{-756}{64}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{13}{16}",
["x"] = -11,
["y"] = 13,
["z"] = 16 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7",
["typ"] = "krat" },
["render"] = "9 - 3 \\cdot 7",
["typ"] = "minus" },
["render"] = "(9 - 3 \\cdot 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{3}{6}}{3\\frac{5}{9}} \\cdot (9 - 3 \\cdot 7)",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.44, bodu=56, $$\frac{3\frac{5}{7} + 9}{8 - (-7) - 14}=\textcolor{white}{12\frac{5}{7}}$$return {
["body"] = 56,
["id"] = "PIRVBY_1117_1024",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 12.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 7 },
["render"] = "\\frac{89}{7}",
["typ"] = "cislo" },
["tex"] = "12\\frac{5}{7}",
["x"] = 12,
["y"] = 5,
["z"] = 7 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 - (-7) - 14",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{7} + 9}{8 - (-7) - 14}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.45, bodu=57, $$\frac{4\frac{4}{9}}{5 + 13 \cdot -17 + 8}=\textcolor{white}{-\frac{5}{234}}$$return {
["body"] = 57,
["id"] = "0Fspoz_1117_1024",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -0.021367521367521,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 234 },
["render"] = "\\frac{40}{-1872}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{234}",
["y"] = -5,
["z"] = 234 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "13 \\cdot -17",
["typ"] = "krat" },
["render"] = "5 + 13 \\cdot -17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 + 13 \\cdot -17 + 8",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{9}}{5 + 13 \\cdot -17 + 8}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.46, bodu=58, $$9 \cdot -15 + 8 + 4\frac{5}{11} + 7 + (-15)=\textcolor{white}{-130\frac{6}{11}}$$return {
["body"] = 58,
["id"] = "MX9SFg_1117_1024",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -130.54545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1436,
["jmenovatel"] = 11 },
["render"] = "\\frac{-1436}{11}",
["typ"] = "cislo" },
["tex"] = "-130\\frac{6}{11}",
["x"] = -130,
["y"] = 6,
["z"] = 11 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.46",
["zadani"] = {
["c1"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot -15 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "7 + (-15)",
["typ"] = "plus" },
["render"] = "4\\frac{5}{11} + 7 + (-15)",
["typ"] = "plus" },
["render"] = "9 \\cdot -15 + 8 + 4\\frac{5}{11} + 7 + (-15)",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.47, bodu=62, $$1\frac{1}{7} - \frac{18}{\frac{16}{(-7 + 3)^3}}=\textcolor{white}{73\frac{1}{7}}$$return {
["body"] = 62,
["id"] = "s6LcOH_1117_1024",
["obtiznost"] = 0.696,
["reseni"] = {
["float"] = 73.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 512,
["jmenovatel"] = 7 },
["render"] = "\\frac{512}{7}",
["typ"] = "cislo" },
["tex"] = "73\\frac{1}{7}",
["x"] = 73,
["y"] = 1,
["z"] = 7 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-7 + 3",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + 3)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{16}{(-7 + 3)^3}",
["typ"] = "lomeno" },
["render"] = "\\frac{18}{\\frac{16}{(-7 + 3)^3}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{7} - \\frac{18}{\\frac{16}{(-7 + 3)^3}}",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.48, bodu=60, $$(9 - 6 \cdot 1\frac{1}{4}) \cdot (-3 - 13)=\textcolor{white}{-24}$$return {
["body"] = 60,
["id"] = "tXUXsi_1117_1024",
["obtiznost"] = 0.68,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{2}",
["typ"] = "cislo" },
["tex"] = "-24",
["tex_float"] = "-24",
["x"] = -24 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.48",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "9 - 6 \\cdot 1\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "(9 - 6 \\cdot 1\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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"] = "(-3 - 13)",
["typ"] = "zavorka" },
["render"] = "(9 - 6 \\cdot 1\\frac{1}{4}) \\cdot (-3 - 13)",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.49, bodu=61, $$\frac{\frac{4\frac{5}{10}}{11} - 13 \cdot 6}{12}=\textcolor{white}{-6\frac{41}{88}}$$return {
["body"] = 61,
["id"] = "kiuJkG_1117_1024",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -6.4659090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -569,
["jmenovatel"] = 88 },
["render"] = "\\frac{-1707}{264}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{41}{88}",
["x"] = -6,
["y"] = 41,
["z"] = 88 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{10}}{11} - 13 \\cdot 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{5}{10}}{11} - 13 \\cdot 6}{12}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.5, bodu=62, $$-11 + (-15) - (2\frac{3}{9} + 14 + \frac{6}{7})=\textcolor{white}{-43\frac{4}{21}}$$return {
["body"] = 62,
["id"] = "oVD4Bx_1117_1024",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -43.190476190476,
["objekt"] = {
["hodnota"] = {
["citatel"] = -907,
["jmenovatel"] = 21 },
["render"] = "\\frac{-907}{21}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{4}{21}",
["x"] = -43,
["y"] = 4,
["z"] = 21 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-11 + (-15)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["render"] = "14 + \\frac{6}{7}",
["typ"] = "plus" },
["render"] = "2\\frac{3}{9} + 14 + \\frac{6}{7}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{9} + 14 + \\frac{6}{7})",
["typ"] = "zavorka" },
["render"] = "-11 + (-15) - (2\\frac{3}{9} + 14 + \\frac{6}{7})",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.51, bodu=63, $$4\frac{4}{5} \cdot \frac{11}{5 \cdot 9}=\textcolor{white}{1\frac{13}{75}}$$return {
["body"] = 63,
["id"] = "icjWq6_1117_1024",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 1.1733333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 75 },
["render"] = "\\frac{264}{225}",
["typ"] = "cislo" },
["tex"] = "1\\frac{13}{75}",
["x"] = 1,
["y"] = 13,
["z"] = 75 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "4\\frac{4}{5} \\cdot \\frac{11}{5 \\cdot 9}",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.52, bodu=64, $$\frac{2\frac{2}{9}}{\frac{-17}{12} - (-13 \cdot -11)}=\textcolor{white}{-\frac{80}{5199}}$$return {
["body"] = 64,
["id"] = "1tnk2T_1117_1024",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -0.015387574533564,
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 5199 },
["render"] = "\\frac{240}{-15597}",
["typ"] = "cislo" },
["tex"] = "-\\frac{80}{5199}",
["y"] = -80,
["z"] = 5199 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{-17}{12} - (-13 \\cdot -11)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{2}{9}}{\\frac{-17}{12} - (-13 \\cdot -11)}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.53, bodu=22, $$9 - (14 + 6) \cdot (5 + (-12)) - (-12)=\textcolor{white}{161}$$return {
["body"] = 22,
["id"] = "EhZSbl_1117_1024",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 161,
["jmenovatel"] = 1 },
["render"] = "\\frac{161}{1}",
["typ"] = "cislo" },
["tex"] = "161",
["tex_float"] = "161",
["x"] = 161 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "14 + 6",
["typ"] = "plus" },
["render"] = "(14 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "5 + (-12)",
["typ"] = "plus" },
["render"] = "(5 + (-12))",
["typ"] = "zavorka" },
["render"] = "(14 + 6) \\cdot (5 + (-12))",
["typ"] = "krat" },
["render"] = "9 - (14 + 6) \\cdot (5 + (-12))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 - (14 + 6) \\cdot (5 + (-12)) - (-12)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.54, bodu=22, $$10 \cdot 7 - 11 - (13 + (-9))=\textcolor{white}{55}$$return {
["body"] = 22,
["id"] = "WrfKRB_1117_1024",
["obtiznost"] = 0.54,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 1 },
["render"] = "\\frac{55}{1}",
["typ"] = "cislo" },
["tex"] = "55",
["tex_float"] = "55",
["x"] = 55 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot 7 - 11",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "13 + (-9)",
["typ"] = "plus" },
["render"] = "(13 + (-9))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot 7 - 11 - (13 + (-9))",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.55, bodu=63, $$\frac{-9}{(\frac{10}{8})^2} - (17 + (-10))^3=\textcolor{white}{-348{,}76}$$return {
["body"] = 63,
["id"] = "nlcF0O_1117_1024",
["obtiznost"] = 0.704,
["reseni"] = {
["float"] = -348.76,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8719,
["jmenovatel"] = 25 },
["render"] = "\\frac{-8719}{25}",
["typ"] = "cislo" },
["tex"] = "-348\\frac{19}{25}",
["tex_float"] = "-348{,}76",
["x"] = -348,
["y"] = 19,
["z"] = 25 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{10}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{8})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-9}{(\\frac{10}{8})^2}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "17 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(17 + (-10))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-9}{(\\frac{10}{8})^2} - (17 + (-10))^3",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.56, bodu=94, $$3\frac{5}{6} \cdot 1\frac{2}{5} \cdot (7 - 11) \cdot -13=\textcolor{white}{279\frac{1}{15}}$$return {
["body"] = 94,
["id"] = "1zzwOx_1117_1024",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 279.06666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4186,
["jmenovatel"] = 15 },
["render"] = "\\frac{8372}{30}",
["typ"] = "cislo" },
["tex"] = "279\\frac{1}{15}",
["x"] = 279,
["y"] = 1,
["z"] = 15 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["render"] = "(7 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(7 - 11) \\cdot -13",
["typ"] = "krat" },
["render"] = "1\\frac{2}{5} \\cdot (7 - 11) \\cdot -13",
["typ"] = "krat" },
["render"] = "3\\frac{5}{6} \\cdot 1\\frac{2}{5} \\cdot (7 - 11) \\cdot -13",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.57, bodu=70, $$\frac{-9}{4\frac{4}{8} - (14 - (-3)) \cdot 14}=\textcolor{white}{\frac{18}{467}}$$return {
["body"] = 70,
["id"] = "Rqb9Wm_1117_1024",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 0.038543897216274,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 467 },
["render"] = "\\frac{-18}{-467}",
["typ"] = "cislo" },
["tex"] = "\\frac{18}{467}",
["y"] = 18,
["z"] = 467 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "14 - (-3)",
["typ"] = "minus" },
["render"] = "(14 - (-3))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(14 - (-3)) \\cdot 14",
["typ"] = "krat" },
["render"] = "4\\frac{4}{8} - (14 - (-3)) \\cdot 14",
["typ"] = "minus" },
["render"] = "\\frac{-9}{4\\frac{4}{8} - (14 - (-3)) \\cdot 14}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.58, bodu=155, $$\frac{11 + (-11 - \frac{3\frac{5}{10} + 3\frac{4}{8}}{1\frac{2}{7}})}{4\frac{4}{12}}=\textcolor{white}{-1\frac{10}{39}}$$return {
["body"] = 155,
["id"] = "GBcsyL_1117_1024",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -1.2564102564103,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 39 },
["render"] = "\\frac{-147}{117}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{10}{39}",
["x"] = -1,
["y"] = 10,
["z"] = 39 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + 3\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10} + 3\\frac{4}{8}}{1\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{3\\frac{5}{10} + 3\\frac{4}{8}}{1\\frac{2}{7}}",
["typ"] = "minus" },
["render"] = "11 + (-11 - \\frac{3\\frac{5}{10} + 3\\frac{4}{8}}{1\\frac{2}{7}})",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{11 + (-11 - \\frac{3\\frac{5}{10} + 3\\frac{4}{8}}{1\\frac{2}{7}})}{4\\frac{4}{12}}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.59, bodu=73, $$\frac{\frac{10}{13}}{1\frac{3}{4} - 4 - 7}=\textcolor{white}{-\frac{40}{481}}$$return {
["body"] = 73,
["id"] = "vJ663H_1117_1024",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -0.083160083160083,
["objekt"] = {
["hodnota"] = {
["citatel"] = -40,
["jmenovatel"] = 481 },
["render"] = "\\frac{40}{-481}",
["typ"] = "cislo" },
["tex"] = "-\\frac{40}{481}",
["y"] = -40,
["z"] = 481 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{10}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{4} - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{4} - 4 - 7",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{10}{13}}{1\\frac{3}{4} - 4 - 7}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.6, bodu=91, $$(1\frac{2}{7} + 10 \cdot 8 \cdot -13) \cdot (11 - 4)^3=\textcolor{white}{-356279}$$return {
["body"] = 91,
["id"] = "u1378Y_1117_1024",
["obtiznost"] = 0.9376,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -356279,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2493953}{7}",
["typ"] = "cislo" },
["tex"] = "-356279",
["tex_float"] = "-356279",
["x"] = -356279 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8 \\cdot -13",
["typ"] = "krat" },
["render"] = "1\\frac{2}{7} + 10 \\cdot 8 \\cdot -13",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{7} + 10 \\cdot 8 \\cdot -13)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(11 - 4)^3",
["typ"] = "mocnina" },
["render"] = "(1\\frac{2}{7} + 10 \\cdot 8 \\cdot -13) \\cdot (11 - 4)^3",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.61, bodu=129, $$\frac{11}{3\frac{3}{10}} \cdot -17 - (3\frac{2}{7} + 2\frac{2}{7} - 10)=\textcolor{white}{-52\frac{5}{21}}$$return {
["body"] = 129,
["id"] = "tPXvqU_1117_1024",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -52.238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1097,
["jmenovatel"] = 21 },
["render"] = "\\frac{-1097}{21}",
["typ"] = "cislo" },
["tex"] = "-52\\frac{5}{21}",
["x"] = -52,
["y"] = 5,
["z"] = 21 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{3}{10}} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} - 10",
["typ"] = "minus" },
["render"] = "3\\frac{2}{7} + 2\\frac{2}{7} - 10",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{7} + 2\\frac{2}{7} - 10)",
["typ"] = "zavorka" },
["render"] = "\\frac{11}{3\\frac{3}{10}} \\cdot -17 - (3\\frac{2}{7} + 2\\frac{2}{7} - 10)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.62, bodu=88, $$\frac{\frac{14}{19}}{\frac{(-11 + 3\frac{5}{10})^2}{16 - (-9)}}=\textcolor{white}{\frac{56}{171}}$$return {
["body"] = 88,
["id"] = "qeWn7r_1117_1024",
["obtiznost"] = 0.9116,
["reseni"] = {
["float"] = 0.32748538011696,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 171 },
["render"] = "\\frac{56}{171}",
["typ"] = "cislo" },
["tex"] = "\\frac{56}{171}",
["y"] = 56,
["z"] = 171 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{14}{19}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-11 + 3\\frac{5}{10}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + 3\\frac{5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "16 - (-9)",
["typ"] = "minus" },
["render"] = "\\frac{(-11 + 3\\frac{5}{10})^2}{16 - (-9)}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{14}{19}}{\\frac{(-11 + 3\\frac{5}{10})^2}{16 - (-9)}}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.63, bodu=76, $$(\frac{-17}{-11})^2 \cdot ((-7 + 11)^3 - 12 - (-10))=\textcolor{white}{148\frac{10}{121}}$$return {
["body"] = 76,
["id"] = "R033Rd_1117_1024",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 148.0826446281,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17918,
["jmenovatel"] = 121 },
["render"] = "\\frac{17918}{121}",
["typ"] = "cislo" },
["tex"] = "148\\frac{10}{121}",
["x"] = 148,
["y"] = 10,
["z"] = 121 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.63",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-17}{-11})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-7 + 11",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-7 + 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-7 + 11)^3 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-7 + 11)^3 - 12 - (-10)",
["typ"] = "minus" },
["render"] = "((-7 + 11)^3 - 12 - (-10))",
["typ"] = "zavorka" },
["render"] = "(\\frac{-17}{-11})^2 \\cdot ((-7 + 11)^3 - 12 - (-10))",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.64, bodu=79, $$\frac{\frac{14 \cdot -11}{-8 - 4\frac{5}{11}}}{-11 + 14}=\textcolor{white}{4\frac{50}{411}}$$return {
["body"] = 79,
["id"] = "GwQzgO_1117_1024",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 4.1216545012165,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1694,
["jmenovatel"] = 411 },
["render"] = "\\frac{1694}{411}",
["typ"] = "cislo" },
["tex"] = "4\\frac{50}{411}",
["x"] = 4,
["y"] = 50,
["z"] = 411 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "14 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-8 - 4\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "\\frac{14 \\cdot -11}{-8 - 4\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-11 + 14",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{14 \\cdot -11}{-8 - 4\\frac{5}{11}}}{-11 + 14}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.65, bodu=88, $$\frac{4\frac{2}{8} - 13}{12 + (\frac{-15}{-9})^3 - (-8)}=\textcolor{white}{-\frac{27}{76}}$$return {
["body"] = 88,
["id"] = "gr7flI_1117_1024",
["obtiznost"] = 0.9108,
["reseni"] = {
["float"] = -0.35526315789474,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 76 },
["render"] = "\\frac{-945}{2660}",
["typ"] = "cislo" },
["tex"] = "-\\frac{27}{76}",
["y"] = -27,
["z"] = 76 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 13",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-15}{-9})^3",
["typ"] = "mocnina" },
["render"] = "12 + (\\frac{-15}{-9})^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "12 + (\\frac{-15}{-9})^3 - (-8)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{8} - 13}{12 + (\\frac{-15}{-9})^3 - (-8)}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.66, bodu=108, $$(2\frac{5}{12} - \frac{7}{2\frac{2}{9}}) \cdot 19 - (-7)=\textcolor{white}{-6\frac{14}{15}}$$return {
["body"] = 108,
["id"] = "Kxsk4J_1117_1024",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -6.9333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -104,
["jmenovatel"] = 15 },
["render"] = "\\frac{-104}{15}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{14}{15}",
["x"] = -6,
["y"] = 14,
["z"] = 15 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{2\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{12} - \\frac{7}{2\\frac{2}{9}}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{12} - \\frac{7}{2\\frac{2}{9}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{12} - \\frac{7}{2\\frac{2}{9}}) \\cdot 19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{12} - \\frac{7}{2\\frac{2}{9}}) \\cdot 19 - (-7)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.67, bodu=106, $$\frac{\frac{10}{-11}}{1\frac{5}{10} + (\frac{18}{11})^2}=\textcolor{white}{-\frac{220}{1011}}$$return {
["body"] = 106,
["id"] = "cVDcNW_1117_1024",
["obtiznost"] = 1.048,
["reseni"] = {
["float"] = -0.21760633036597,
["objekt"] = {
["hodnota"] = {
["citatel"] = -220,
["jmenovatel"] = 1011 },
["render"] = "\\frac{-2420}{11121}",
["typ"] = "cislo" },
["tex"] = "-\\frac{220}{1011}",
["y"] = -220,
["z"] = 1011 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{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"] = "\\frac{18}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{18}{11})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{5}{10} + (\\frac{18}{11})^2",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{10}{-11}}{1\\frac{5}{10} + (\\frac{18}{11})^2}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.68, bodu=140, $$-12 \cdot (2\frac{4}{11} + 3\frac{5}{10}) \cdot (\frac{10}{4\frac{5}{11}} - (-6))=\textcolor{white}{-580\frac{76}{539}}$$return {
["body"] = 140,
["id"] = "qkCVpP_1117_1024",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -580.14100185529,
["objekt"] = {
["hodnota"] = {
["citatel"] = -312696,
["jmenovatel"] = 539 },
["render"] = "\\frac{-312696}{539}",
["typ"] = "cislo" },
["tex"] = "-580\\frac{76}{539}",
["x"] = -580,
["y"] = 76,
["z"] = 539 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{11} + 3\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (2\\frac{4}{11} + 3\\frac{5}{10})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4\\frac{5}{11}} - (-6)",
["typ"] = "minus" },
["render"] = "(\\frac{10}{4\\frac{5}{11}} - (-6))",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (2\\frac{4}{11} + 3\\frac{5}{10}) \\cdot (\\frac{10}{4\\frac{5}{11}} - (-6))",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.69, bodu=173, $$(2\frac{5}{11} - 4\frac{3}{6}) \cdot -18 \cdot (3\frac{2}{9} - 11 + 1\frac{2}{7})=\textcolor{white}{-239\frac{2}{77}}$$return {
["body"] = 173,
["id"] = "hT1t8U_1117_1024",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -239.02597402597,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18405,
["jmenovatel"] = 77 },
["render"] = "\\frac{-165645}{693}",
["typ"] = "cislo" },
["tex"] = "-239\\frac{2}{77}",
["x"] = -239,
["y"] = 2,
["z"] = 77 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 4\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{11} - 4\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{11} - 4\\frac{3}{6}) \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} - 11 + 1\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{9} - 11 + 1\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{11} - 4\\frac{3}{6}) \\cdot -18 \\cdot (3\\frac{2}{9} - 11 + 1\\frac{2}{7})",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.7, bodu=143, $$\frac{\frac{-12}{\frac{1\frac{1}{4}}{4\frac{3}{4}}}}{9 - 4\frac{5}{12}}=\textcolor{white}{-9\frac{261}{275}}$$return {
["body"] = 143,
["id"] = "WD1ag8_1117_1024",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -9.9490909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2736,
["jmenovatel"] = 275 },
["render"] = "\\frac{-2736}{275}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{261}{275}",
["x"] = -9,
["y"] = 261,
["z"] = 275 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{4\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{\\frac{1\\frac{1}{4}}{4\\frac{3}{4}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-12}{\\frac{1\\frac{1}{4}}{4\\frac{3}{4}}}}{9 - 4\\frac{5}{12}}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.71, bodu=115, $$\frac{8 - 4\frac{4}{6}}{10 \cdot (-12 - 17 - 4\frac{1}{6})}=\textcolor{white}{-\frac{2}{199}}$$return {
["body"] = 115,
["id"] = "t8T0w9_1117_1024",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -0.010050251256281,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 199 },
["render"] = "\\frac{30}{-2985}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{199}",
["y"] = -2,
["z"] = 199 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{4}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-12 - 17 - 4\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(-12 - 17 - 4\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (-12 - 17 - 4\\frac{1}{6})",
["typ"] = "krat" },
["render"] = "\\frac{8 - 4\\frac{4}{6}}{10 \\cdot (-12 - 17 - 4\\frac{1}{6})}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.72, bodu=190, $$\frac{2\frac{3}{4}}{2\frac{2}{9} - ((-15 + 12)^3 - (-9 + 2\frac{3}{4})^2)}=\textcolor{white}{\frac{396}{9833}}$$return {
["body"] = 190,
["id"] = "xpsYVo_1117_1024",
["obtiznost"] = 1.5876,
["reseni"] = {
["float"] = 0.040272551611919,
["objekt"] = {
["hodnota"] = {
["citatel"] = 396,
["jmenovatel"] = 9833 },
["render"] = "\\frac{1584}{39332}",
["typ"] = "cislo" },
["tex"] = "\\frac{396}{9833}",
["y"] = 396,
["z"] = 9833 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-15 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-15 + 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "-9 + 2\\frac{3}{4}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + 2\\frac{3}{4})^2",
["typ"] = "mocnina" },
["render"] = "(-15 + 12)^3 - (-9 + 2\\frac{3}{4})^2",
["typ"] = "minus" },
["render"] = "((-15 + 12)^3 - (-9 + 2\\frac{3}{4})^2)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{9} - ((-15 + 12)^3 - (-9 + 2\\frac{3}{4})^2)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{4}}{2\\frac{2}{9} - ((-15 + 12)^3 - (-9 + 2\\frac{3}{4})^2)}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.73, bodu=117, $$\frac{\frac{14 \cdot (\frac{-13}{-18})^2}{1\frac{4}{10}}}{-14}=\textcolor{white}{-\frac{845}{2268}}$$return {
["body"] = 117,
["id"] = "Cg7Ho3_1117_1024",
["obtiznost"] = 1.1272,
["reseni"] = {
["float"] = -0.37257495590829,
["objekt"] = {
["hodnota"] = {
["citatel"] = -845,
["jmenovatel"] = 2268 },
["render"] = "\\frac{845}{-2268}",
["typ"] = "cislo" },
["tex"] = "-\\frac{845}{2268}",
["y"] = -845,
["z"] = 2268 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{-18})^2",
["typ"] = "mocnina" },
["render"] = "14 \\cdot (\\frac{-13}{-18})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot (\\frac{-13}{-18})^2}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14 \\cdot (\\frac{-13}{-18})^2}{1\\frac{4}{10}}}{-14}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.74, bodu=149, $$\frac{\frac{3\frac{4}{11}}{-14} \cdot 1\frac{4}{13}}{2\frac{1}{5} - (-15)}=\textcolor{white}{-\frac{3145}{172172}}$$return {
["body"] = 149,
["id"] = "METp3g_1117_1024",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -0.018266617103826,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3145,
["jmenovatel"] = 172172 },
["render"] = "\\frac{-3145}{172172}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3145}{172172}",
["y"] = -3145,
["z"] = 172172 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{11}}{-14} \\cdot 1\\frac{4}{13}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - (-15)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{3\\frac{4}{11}}{-14} \\cdot 1\\frac{4}{13}}{2\\frac{1}{5} - (-15)}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.75, bodu=93, $$16 \cdot (8 + (-5) + (-12)) + 4\frac{2}{9} \cdot -11=\textcolor{white}{-190\frac{4}{9}}$$return {
["body"] = 93,
["id"] = "3cy6fW_1117_1024",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -190.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1714,
["jmenovatel"] = 9 },
["render"] = "\\frac{-1714}{9}",
["typ"] = "cislo" },
["tex"] = "-190\\frac{4}{9}",
["x"] = -190,
["y"] = 4,
["z"] = 9 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "8 + (-5)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 + (-5) + (-12)",
["typ"] = "plus" },
["render"] = "(8 + (-5) + (-12))",
["typ"] = "zavorka" },
["render"] = "16 \\cdot (8 + (-5) + (-12))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} \\cdot -11",
["typ"] = "krat" },
["render"] = "16 \\cdot (8 + (-5) + (-12)) + 4\\frac{2}{9} \\cdot -11",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.76, bodu=94, $$\frac{-17 - 9}{7 \cdot (5 + 2\frac{2}{8}) + (-16)}=\textcolor{white}{-\frac{104}{139}}$$return {
["body"] = 94,
["id"] = "l4oSvC_1117_1024",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -0.74820143884892,
["objekt"] = {
["hodnota"] = {
["citatel"] = -104,
["jmenovatel"] = 139 },
["render"] = "\\frac{-104}{139}",
["typ"] = "cislo" },
["tex"] = "-\\frac{104}{139}",
["y"] = -104,
["z"] = 139 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-17 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "5 + 2\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(5 + 2\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (5 + 2\\frac{2}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "7 \\cdot (5 + 2\\frac{2}{8}) + (-16)",
["typ"] = "plus" },
["render"] = "\\frac{-17 - 9}{7 \\cdot (5 + 2\\frac{2}{8}) + (-16)}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.77, bodu=95, $$15 \cdot (-10 - 2\frac{1}{7}) \cdot -15 + (-17) - 20=\textcolor{white}{2695\frac{1}{7}}$$return {
["body"] = 95,
["id"] = "Z0En5R_1117_1024",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 2695.1428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18866,
["jmenovatel"] = 7 },
["render"] = "\\frac{18866}{7}",
["typ"] = "cislo" },
["tex"] = "2695\\frac{1}{7}",
["x"] = 2695,
["y"] = 1,
["z"] = 7 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-10 - 2\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(-10 - 2\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (-10 - 2\\frac{1}{7})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "15 \\cdot (-10 - 2\\frac{1}{7}) \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "15 \\cdot (-10 - 2\\frac{1}{7}) \\cdot -15 + (-17)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "15 \\cdot (-10 - 2\\frac{1}{7}) \\cdot -15 + (-17) - 20",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.78, bodu=155, $$\frac{1\frac{4}{9} + 1\frac{4}{5} - (-10)}{2\frac{5}{12} + (-12)} - (-15)=\textcolor{white}{13\frac{1066}{1725}}$$return {
["body"] = 155,
["id"] = "1yRp0A_1117_1024",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 13.617971014493,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23491,
["jmenovatel"] = 1725 },
["render"] = "\\frac{23491}{1725}",
["typ"] = "cislo" },
["tex"] = "13\\frac{1066}{1725}",
["x"] = 13,
["y"] = 1066,
["z"] = 1725 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{5} - (-10)",
["typ"] = "minus" },
["render"] = "1\\frac{4}{9} + 1\\frac{4}{5} - (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{9} + 1\\frac{4}{5} - (-10)}{2\\frac{5}{12} + (-12)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9} + 1\\frac{4}{5} - (-10)}{2\\frac{5}{12} + (-12)} - (-15)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.79, bodu=98, $$-10 - (\frac{16}{3\frac{2}{10} + 8 \cdot -4} + 8)=\textcolor{white}{-17\frac{4}{9}}$$return {
["body"] = 98,
["id"] = "LRo5u0_1117_1024",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -17.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -157,
["jmenovatel"] = 9 },
["render"] = "\\frac{-157}{9}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{4}{9}",
["x"] = -17,
["y"] = 4,
["z"] = 9 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 \\cdot -4",
["typ"] = "krat" },
["render"] = "3\\frac{2}{10} + 8 \\cdot -4",
["typ"] = "plus" },
["render"] = "\\frac{16}{3\\frac{2}{10} + 8 \\cdot -4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{2}{10} + 8 \\cdot -4} + 8",
["typ"] = "plus" },
["render"] = "(\\frac{16}{3\\frac{2}{10} + 8 \\cdot -4} + 8)",
["typ"] = "zavorka" },
["render"] = "-10 - (\\frac{16}{3\\frac{2}{10} + 8 \\cdot -4} + 8)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.8, bodu=128, $$\frac{-12}{-11 \cdot (19 - (-12))} - \frac{3\frac{2}{9}}{4\frac{3}{7}}=\textcolor{white}{-\frac{2125}{3069}}$$return {
["body"] = 128,
["id"] = "GUDTMw_1117_1024",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -0.69240795047247,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2125,
["jmenovatel"] = 3069 },
["render"] = "\\frac{-65875}{95139}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2125}{3069}",
["y"] = -2125,
["z"] = 3069 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "19 - (-12)",
["typ"] = "minus" },
["render"] = "(19 - (-12))",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot (19 - (-12))",
["typ"] = "krat" },
["render"] = "\\frac{-12}{-11 \\cdot (19 - (-12))}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9}}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{-11 \\cdot (19 - (-12))} - \\frac{3\\frac{2}{9}}{4\\frac{3}{7}}",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.81, bodu=194, $$(\frac{2\frac{5}{10}}{-11})^2 - (4\frac{4}{13} - (11 - 12 \cdot 2\frac{3}{9}))=\textcolor{white}{-21\frac{1611}{6292}}$$return {
["body"] = 194,
["id"] = "nWUjJS_1117_1024",
["obtiznost"] = 1.6136,
["reseni"] = {
["float"] = -21.25603941513,
["objekt"] = {
["hodnota"] = {
["citatel"] = -133743,
["jmenovatel"] = 6292 },
["render"] = "\\frac{-133743}{6292}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{1611}{6292}",
["x"] = -21,
["y"] = 1611,
["z"] = 6292 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.81",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10}}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{5}{10}}{-11})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "11 - 12 \\cdot 2\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "(11 - 12 \\cdot 2\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{13} - (11 - 12 \\cdot 2\\frac{3}{9})",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{13} - (11 - 12 \\cdot 2\\frac{3}{9}))",
["typ"] = "zavorka" },
["render"] = "(\\frac{2\\frac{5}{10}}{-11})^2 - (4\\frac{4}{13} - (11 - 12 \\cdot 2\\frac{3}{9}))",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.82, bodu=195, $$\frac{\frac{2\frac{4}{6}}{\frac{1\frac{4}{9} - 4\frac{1}{6}}{9}}}{1\frac{2}{11}} + 13=\textcolor{white}{5\frac{344}{637}}$$return {
["body"] = 195,
["id"] = "x3uCRe_1117_1024",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 5.5400313971743,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3529,
["jmenovatel"] = 637 },
["render"] = "\\frac{3529}{637}",
["typ"] = "cislo" },
["tex"] = "5\\frac{344}{637}",
["x"] = 5,
["y"] = 344,
["z"] = 637 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - 4\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9} - 4\\frac{1}{6}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{4}{6}}{\\frac{1\\frac{4}{9} - 4\\frac{1}{6}}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{4}{6}}{\\frac{1\\frac{4}{9} - 4\\frac{1}{6}}{9}}}{1\\frac{2}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{4}{6}}{\\frac{1\\frac{4}{9} - 4\\frac{1}{6}}{9}}}{1\\frac{2}{11}} + 13",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.83, bodu=132, $$\frac{10 \cdot 4\frac{2}{7} + (-9)}{\frac{-10}{2\frac{5}{13}} \cdot 17}=\textcolor{white}{-\frac{7347}{15470}}$$return {
["body"] = 132,
["id"] = "4gkbAm_1117_1024",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -0.47491919844861,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7347,
["jmenovatel"] = 15470 },
["render"] = "\\frac{7347}{-15470}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7347}{15470}",
["y"] = -7347,
["z"] = 15470 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{2}{7} + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{5}{13}} \\cdot 17",
["typ"] = "krat" },
["render"] = "\\frac{10 \\cdot 4\\frac{2}{7} + (-9)}{\\frac{-10}{2\\frac{5}{13}} \\cdot 17}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.84, bodu=199, $$3\frac{4}{13} - (\frac{2\frac{4}{13}}{4\frac{3}{9}} - (-6) - (3\frac{5}{10} - (-9)))=\textcolor{white}{9\frac{93}{338}}$$return {
["body"] = 199,
["id"] = "snHj0i_1117_1024",
["obtiznost"] = 1.64,
["reseni"] = {
["float"] = 9.2751479289941,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3135,
["jmenovatel"] = 338 },
["render"] = "\\frac{40755}{4394}",
["typ"] = "cislo" },
["tex"] = "9\\frac{93}{338}",
["x"] = 9,
["y"] = 93,
["z"] = 338 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{13}}{4\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{13}}{4\\frac{3}{9}} - (-6)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - (-9)",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{10} - (-9))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{4}{13}}{4\\frac{3}{9}} - (-6) - (3\\frac{5}{10} - (-9))",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{4}{13}}{4\\frac{3}{9}} - (-6) - (3\\frac{5}{10} - (-9)))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{13} - (\\frac{2\\frac{4}{13}}{4\\frac{3}{9}} - (-6) - (3\\frac{5}{10} - (-9)))",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.85, bodu=200, $$-12 \cdot \frac{1\frac{5}{7}}{2\frac{5}{6}} \cdot \frac{1\frac{4}{9}}{3\frac{4}{11}}=\textcolor{white}{-3\frac{519}{4403}}$$return {
["body"] = 200,
["id"] = "uLAQzt_1117_1024",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -3.1178741766977,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13728,
["jmenovatel"] = 4403 },
["render"] = "\\frac{-123552}{39627}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{519}{4403}",
["x"] = -3,
["y"] = 519,
["z"] = 4403 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{7}}{2\\frac{5}{6}}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot \\frac{1\\frac{5}{7}}{2\\frac{5}{6}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{3\\frac{4}{11}}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot \\frac{1\\frac{5}{7}}{2\\frac{5}{6}} \\cdot \\frac{1\\frac{4}{9}}{3\\frac{4}{11}}",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.86, bodu=137, $$\frac{4\frac{1}{11} \cdot 9 \cdot 17}{14} - (3\frac{2}{10} - (-10))=\textcolor{white}{31\frac{391}{770}}$$return {
["body"] = 137,
["id"] = "yt5Zx3_1117_1024",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 31.507792207792,
["objekt"] = {
["hodnota"] = {
["citatel"] = 24261,
["jmenovatel"] = 770 },
["render"] = "\\frac{24261}{770}",
["typ"] = "cislo" },
["tex"] = "31\\frac{391}{770}",
["x"] = 31,
["y"] = 391,
["z"] = 770 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{11} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{11} \\cdot 9 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{11} \\cdot 9 \\cdot 17}{14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - (-10)",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{10} - (-10))",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{1}{11} \\cdot 9 \\cdot 17}{14} - (3\\frac{2}{10} - (-10))",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.87, bodu=138, $$\frac{-9 + 17}{\frac{-10 \cdot \frac{-21}{2\frac{4}{12}}}{4\frac{4}{9}}}=\textcolor{white}{\frac{32}{81}}$$return {
["body"] = 138,
["id"] = "6I9V4T_1117_1024",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 0.39506172839506,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 81 },
["render"] = "\\frac{32}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{32}{81}",
["y"] = 32,
["z"] = 81 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-9 + 17",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot \\frac{-21}{2\\frac{4}{12}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot \\frac{-21}{2\\frac{4}{12}}}{4\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9 + 17}{\\frac{-10 \\cdot \\frac{-21}{2\\frac{4}{12}}}{4\\frac{4}{9}}}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.88, bodu=222, $$2\frac{1}{7} - (\frac{3\frac{5}{13}}{(-6 + 15)^3} + 2\frac{3}{5} - (-6 \cdot -3))=\textcolor{white}{17\frac{178523}{331695}}$$return {
["body"] = 222,
["id"] = "Piua2Z_1117_1024",
["obtiznost"] = 1.772,
["reseni"] = {
["float"] = 17.5382143234,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5817338,
["jmenovatel"] = 331695 },
["render"] = "\\frac{5817338}{331695}",
["typ"] = "cislo" },
["tex"] = "17\\frac{178523}{331695}",
["x"] = 17,
["y"] = 178523,
["z"] = 331695 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-6 + 15",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-6 + 15)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{5}{13}}{(-6 + 15)^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{13}}{(-6 + 15)^3} + 2\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -3",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{13}}{(-6 + 15)^3} + 2\\frac{3}{5} - (-6 \\cdot -3)",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{5}{13}}{(-6 + 15)^3} + 2\\frac{3}{5} - (-6 \\cdot -3))",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{7} - (\\frac{3\\frac{5}{13}}{(-6 + 15)^3} + 2\\frac{3}{5} - (-6 \\cdot -3))",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.89, bodu=141, $$22 - (-16) - \frac{16}{16 + 1\frac{4}{12} + 4\frac{2}{10}} - (-15)=\textcolor{white}{52\frac{83}{323}}$$return {
["body"] = 141,
["id"] = "aZWwmy_1117_1024",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 52.256965944272,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16879,
["jmenovatel"] = 323 },
["render"] = "\\frac{16879}{323}",
["typ"] = "cislo" },
["tex"] = "52\\frac{83}{323}",
["x"] = 52,
["y"] = 83,
["z"] = 323 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "22 - (-16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{12} + 4\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "16 + 1\\frac{4}{12} + 4\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "\\frac{16}{16 + 1\\frac{4}{12} + 4\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "22 - (-16) - \\frac{16}{16 + 1\\frac{4}{12} + 4\\frac{2}{10}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "22 - (-16) - \\frac{16}{16 + 1\\frac{4}{12} + 4\\frac{2}{10}} - (-15)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.9, bodu=179, $$\frac{4\frac{1}{9}}{-9} + (-11) - (-9 + 14 + 14 + 1\frac{2}{12} - 19)^3=\textcolor{white}{-13\frac{29}{648}}$$return {
["body"] = 179,
["id"] = "2UTdhQ_1117_1024",
["obtiznost"] = 1.5236,
["reseni"] = {
["float"] = -13.04475308642,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8453,
["jmenovatel"] = 648 },
["render"] = "\\frac{-228231}{17496}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{29}{648}",
["x"] = -13,
["y"] = 29,
["z"] = 648 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{9}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{9}}{-9} + (-11)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-9 + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-9 + 14 + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "-9 + 14 + 14 + 1\\frac{2}{12}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-9 + 14 + 14 + 1\\frac{2}{12} - 19",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-9 + 14 + 14 + 1\\frac{2}{12} - 19)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{1}{9}}{-9} + (-11) - (-9 + 14 + 14 + 1\\frac{2}{12} - 19)^3",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.91, bodu=285, $$1\frac{1}{8} - (4\frac{1}{5} + 2\frac{1}{4}) - (-12 - (1\frac{5}{7} - 3\frac{5}{10} \cdot 2\frac{1}{6}))=\textcolor{white}{\frac{677}{840}}$$return {
["body"] = 285,
["id"] = "p697cQ_1117_1024",
["obtiznost"] = 2.11,
["reseni"] = {
["float"] = 0.80595238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 677,
["jmenovatel"] = 840 },
["render"] = "\\frac{2708}{3360}",
["typ"] = "cislo" },
["tex"] = "\\frac{677}{840}",
["y"] = 677,
["z"] = 840 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} + 2\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{5} + 2\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{8} - (4\\frac{1}{5} + 2\\frac{1}{4})",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "1\\frac{5}{7} - 3\\frac{5}{10} \\cdot 2\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{7} - 3\\frac{5}{10} \\cdot 2\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "-12 - (1\\frac{5}{7} - 3\\frac{5}{10} \\cdot 2\\frac{1}{6})",
["typ"] = "minus" },
["render"] = "(-12 - (1\\frac{5}{7} - 3\\frac{5}{10} \\cdot 2\\frac{1}{6}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{8} - (4\\frac{1}{5} + 2\\frac{1}{4}) - (-12 - (1\\frac{5}{7} - 3\\frac{5}{10} \\cdot 2\\frac{1}{6}))",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.92, bodu=178, $$2\frac{2}{9} + 4\frac{3}{14} - 7 + \frac{14}{2\frac{1}{7} + 16 - 15}=\textcolor{white}{3\frac{1235}{1386}}$$return {
["body"] = 178,
["id"] = "5C4Z83_1117_1024",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = 3.8910533910534,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5393,
["jmenovatel"] = 1386 },
["render"] = "\\frac{5393}{1386}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1235}{1386}",
["x"] = 3,
["y"] = 1235,
["z"] = 1386 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 14 },
["render"] = "4\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{14} - 7",
["typ"] = "minus" },
["render"] = "2\\frac{2}{9} + 4\\frac{3}{14} - 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + 16 - 15",
["typ"] = "minus" },
["render"] = "\\frac{14}{2\\frac{1}{7} + 16 - 15}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{9} + 4\\frac{3}{14} - 7 + \\frac{14}{2\\frac{1}{7} + 16 - 15}",
["typ"] = "plus" } }
seed: ZwoET2606kICJWVxPgM6_0.93, bodu=180, $$(12 + 22 + 4\frac{2}{5} - (4\frac{4}{7} - (3\frac{1}{8} - (-15) + (-13)))) \cdot -16=\textcolor{white}{-623\frac{9}{35}}$$return {
["body"] = 180,
["id"] = "gmvoFW_1117_1024",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -623.25714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21814,
["jmenovatel"] = 35 },
["render"] = "\\frac{-174512}{280}",
["typ"] = "cislo" },
["tex"] = "-623\\frac{9}{35}",
["x"] = -623,
["y"] = 9,
["z"] = 35 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.93",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "12 + 22",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "12 + 22 + 4\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - (-15)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - (-15) + (-13)",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{8} - (-15) + (-13))",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{7} - (3\\frac{1}{8} - (-15) + (-13))",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{7} - (3\\frac{1}{8} - (-15) + (-13)))",
["typ"] = "zavorka" },
["render"] = "12 + 22 + 4\\frac{2}{5} - (4\\frac{4}{7} - (3\\frac{1}{8} - (-15) + (-13)))",
["typ"] = "minus" },
["render"] = "(12 + 22 + 4\\frac{2}{5} - (4\\frac{4}{7} - (3\\frac{1}{8} - (-15) + (-13))))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(12 + 22 + 4\\frac{2}{5} - (4\\frac{4}{7} - (3\\frac{1}{8} - (-15) + (-13)))) \\cdot -16",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.94, bodu=149, $$(18 - (-18)) \cdot (2\frac{1}{5} \cdot (7 + 2\frac{3}{9}) + 11 + 9)=\textcolor{white}{1459{,}2}$$return {
["body"] = 149,
["id"] = "h3lpZe_1117_1024",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 1459.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7296,
["jmenovatel"] = 5 },
["render"] = "\\frac{21888}{15}",
["typ"] = "cislo" },
["tex"] = "1459\\frac{1}{5}",
["tex_float"] = "1459{,}2",
["x"] = 1459,
["y"] = 1,
["z"] = 5 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "18 - (-18)",
["typ"] = "minus" },
["render"] = "(18 - (-18))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(7 + 2\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{5} \\cdot (7 + 2\\frac{3}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot (7 + 2\\frac{3}{9}) + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot (7 + 2\\frac{3}{9}) + 11 + 9",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{5} \\cdot (7 + 2\\frac{3}{9}) + 11 + 9)",
["typ"] = "zavorka" },
["render"] = "(18 - (-18)) \\cdot (2\\frac{1}{5} \\cdot (7 + 2\\frac{3}{9}) + 11 + 9)",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.95, bodu=183, $$-11 \cdot 2\frac{4}{10} - 2\frac{1}{6} - (2\frac{5}{10} - (-14)) - (-10)=\textcolor{white}{-35\frac{1}{15}}$$return {
["body"] = 183,
["id"] = "VGctH6_1117_1024",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -35.066666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -526,
["jmenovatel"] = 15 },
["render"] = "\\frac{-526}{15}",
["typ"] = "cislo" },
["tex"] = "-35\\frac{1}{15}",
["x"] = -35,
["y"] = 1,
["z"] = 15 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{4}{10} - 2\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - (-14)",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{10} - (-14))",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot 2\\frac{4}{10} - 2\\frac{1}{6} - (2\\frac{5}{10} - (-14))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{4}{10} - 2\\frac{1}{6} - (2\\frac{5}{10} - (-14)) - (-10)",
["typ"] = "minus" } }
seed: ZwoET2606kICJWVxPgM6_0.96, bodu=152, $$\frac{-22 - 17}{3\frac{2}{7} \cdot 9 \cdot 13 - 3\frac{2}{8}}=\textcolor{white}{-\frac{84}{821}}$$return {
["body"] = 152,
["id"] = "nvpSIi_1117_1024",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -0.10231425091352,
["objekt"] = {
["hodnota"] = {
["citatel"] = -84,
["jmenovatel"] = 821 },
["render"] = "\\frac{-1092}{10673}",
["typ"] = "cislo" },
["tex"] = "-\\frac{84}{821}",
["y"] = -84,
["z"] = 821 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-22 - 17",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 \\cdot 13",
["typ"] = "krat" },
["render"] = "3\\frac{2}{7} \\cdot 9 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot 9 \\cdot 13 - 3\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-22 - 17}{3\\frac{2}{7} \\cdot 9 \\cdot 13 - 3\\frac{2}{8}}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.97, bodu=214, $$\frac{(2\frac{2}{11} + 16 + 14) \cdot (-6 + 2\frac{5}{7} + 9)}{(-22 - 8)^2}=\textcolor{white}{\frac{236}{1155}}$$return {
["body"] = 214,
["id"] = "uOwhrY_1117_1024",
["obtiznost"] = 1.7304,
["reseni"] = {
["float"] = 0.204329004329,
["objekt"] = {
["hodnota"] = {
["citatel"] = 236,
["jmenovatel"] = 1155 },
["render"] = "\\frac{14160}{69300}",
["typ"] = "cislo" },
["tex"] = "\\frac{236}{1155}",
["y"] = 236,
["z"] = 1155 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{11} + 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{11} + 16 + 14",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{11} + 16 + 14)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} + 9",
["typ"] = "plus" },
["render"] = "-6 + 2\\frac{5}{7} + 9",
["typ"] = "plus" },
["render"] = "(-6 + 2\\frac{5}{7} + 9)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{2}{11} + 16 + 14) \\cdot (-6 + 2\\frac{5}{7} + 9)",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-22 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-22 - 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(2\\frac{2}{11} + 16 + 14) \\cdot (-6 + 2\\frac{5}{7} + 9)}{(-22 - 8)^2}",
["typ"] = "lomeno" } }
seed: ZwoET2606kICJWVxPgM6_0.98, bodu=188, $$\frac{15 + (-4)}{2\frac{5}{11} - 3\frac{3}{9} + (-12)} \cdot (-9 + 1\frac{3}{7})=\textcolor{white}{6\frac{1389}{2975}}$$return {
["body"] = 188,
["id"] = "SvZb96_1117_1024",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = 6.4668907563025,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19239,
["jmenovatel"] = 2975 },
["render"] = "\\frac{19239}{2975}",
["typ"] = "cislo" },
["tex"] = "6\\frac{1389}{2975}",
["x"] = 6,
["y"] = 1389,
["z"] = 2975 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "15 + (-4)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 3\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 3\\frac{3}{9} + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{15 + (-4)}{2\\frac{5}{11} - 3\\frac{3}{9} + (-12)}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(-9 + 1\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{15 + (-4)}{2\\frac{5}{11} - 3\\frac{3}{9} + (-12)} \\cdot (-9 + 1\\frac{3}{7})",
["typ"] = "krat" } }
seed: ZwoET2606kICJWVxPgM6_0.99, bodu=126, $$\frac{\frac{1\frac{3}{4} + 20}{15}}{-13 \cdot -16} \cdot -19=\textcolor{white}{-\frac{551}{4160}}$$return {
["body"] = 126,
["id"] = "twpA3N_1117_1024",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -0.13245192307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = -551,
["jmenovatel"] = 4160 },
["render"] = "\\frac{-551}{4160}",
["typ"] = "cislo" },
["tex"] = "-\\frac{551}{4160}",
["y"] = -551,
["z"] = 4160 },
["seed"] = "ZwoET2606kICJWVxPgM6_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{4} + 20",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{4} + 20}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -16",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{1\\frac{3}{4} + 20}{15}}{-13 \\cdot -16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{4} + 20}{15}}{-13 \\cdot -16} \\cdot -19",
["typ"] = "krat" } }
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