- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: AorZsPDPU2ipTD0DMTgH_0, bodu=5, $$(10 - 9 \cdot -5) \cdot 10=\textcolor{white}{550}$$return {
["body"] = 5,
["id"] = "jLCiOf_1107_1358",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 550,
["jmenovatel"] = 1 },
["render"] = "\\frac{550}{1}",
["typ"] = "cislo" },
["tex"] = "550",
["x"] = 550 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "10 - 9 \\cdot -5",
["typ"] = "minus" },
["render"] = "(10 - 9 \\cdot -5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(10 - 9 \\cdot -5) \\cdot 10",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.01, bodu=10, $$6 - (4 + \frac{9}{-4})=\textcolor{white}{4{,}25}$$return {
["body"] = 10,
["id"] = "wf1o4J_1107_1358",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 4.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "\\frac{17}{4}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{4}",
["tex_float"] = "4{,}25",
["x"] = 4,
["y"] = 1,
["z"] = 4 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-4}",
["typ"] = "lomeno" },
["render"] = "4 + \\frac{9}{-4}",
["typ"] = "plus" },
["render"] = "(4 + \\frac{9}{-4})",
["typ"] = "zavorka" },
["render"] = "6 - (4 + \\frac{9}{-4})",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.02, bodu=10, $$\frac{8 - (7 + 9)}{2}=\textcolor{white}{-4}$$return {
["body"] = 10,
["id"] = "5uAWat_1107_1358",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8}{2}",
["typ"] = "cislo" },
["tex"] = "-4",
["x"] = -4 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["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"] = "8 - (7 + 9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{8 - (7 + 9)}{2}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.03, bodu=10, $$9 + 3 - \frac{4}{5}=\textcolor{white}{11{,}2}$$return {
["body"] = 10,
["id"] = "UXu7N1_1107_1358",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 11.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 5 },
["render"] = "\\frac{56}{5}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{5}",
["tex_float"] = "11{,}2",
["x"] = 11,
["y"] = 1,
["z"] = 5 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "9 + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4}{5}",
["typ"] = "lomeno" },
["render"] = "9 + 3 - \\frac{4}{5}",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.04, bodu=5, $$(8 + 7 \cdot 7) \cdot 5=\textcolor{white}{285}$$return {
["body"] = 5,
["id"] = "3ycICc_1107_1358",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 285,
["jmenovatel"] = 1 },
["render"] = "\\frac{285}{1}",
["typ"] = "cislo" },
["tex"] = "285",
["x"] = 285 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.04",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["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 \\cdot 7",
["typ"] = "krat" },
["render"] = "8 + 7 \\cdot 7",
["typ"] = "plus" },
["render"] = "(8 + 7 \\cdot 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(8 + 7 \\cdot 7) \\cdot 5",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.05, bodu=11, $$\frac{7 + (8 - 7)^3}{7}=\textcolor{white}{1\frac{1}{7}}$$return {
["body"] = 11,
["id"] = "zKcZ7D_1107_1358",
["obtiznost"] = 0.0508,
["reseni"] = {
["float"] = 1.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "\\frac{8}{7}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{7}",
["x"] = 1,
["y"] = 1,
["z"] = 7 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 7",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(8 - 7)^3",
["typ"] = "mocnina" },
["render"] = "7 + (8 - 7)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7 + (8 - 7)^3}{7}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.06, bodu=11, $$\frac{4}{\frac{-4}{2 + 6}}=\textcolor{white}{-8}$$return {
["body"] = 11,
["id"] = "nCH6Lj_1107_1358",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{-1}",
["typ"] = "cislo" },
["tex"] = "-8",
["tex_float"] = "-8",
["x"] = -8 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2 + 6",
["typ"] = "plus" },
["render"] = "\\frac{-4}{2 + 6}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{-4}{2 + 6}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.07, bodu=11, $$\frac{-7}{4 \cdot 6}=\textcolor{white}{-\frac{7}{24}}$$return {
["body"] = 11,
["id"] = "vUa9fG_1107_1358",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -0.29166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 24 },
["render"] = "\\frac{-7}{24}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{24}",
["y"] = -7,
["z"] = 24 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{-7}{4 \\cdot 6}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.08, bodu=12, $$7 \cdot (\frac{9}{6})^2=\textcolor{white}{15{,}75}$$return {
["body"] = 12,
["id"] = "QMcULG_1107_1358",
["obtiznost"] = 0.0852,
["reseni"] = {
["float"] = 15.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 4 },
["render"] = "\\frac{63}{4}",
["typ"] = "cislo" },
["tex"] = "15\\frac{3}{4}",
["tex_float"] = "15{,}75",
["x"] = 15,
["y"] = 3,
["z"] = 4 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{9}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{6})^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (\\frac{9}{6})^2",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.09, bodu=12, $$\frac{-10 - 7}{-2} - 8=\textcolor{white}{0{,}5}$$return {
["body"] = 12,
["id"] = "U03F56_1107_1358",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 2 },
["render"] = "\\frac{1}{2}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{2}",
["tex_float"] = "0{,}5",
["y"] = 1,
["z"] = 2 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.09",
["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 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{-10 - 7}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-10 - 7}{-2} - 8",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.1, bodu=14, $$\frac{\frac{(5 + 5)^2}{7}}{-6}=\textcolor{white}{-2\frac{8}{21}}$$return {
["body"] = 14,
["id"] = "1DBm8v_1107_1358",
["obtiznost"] = 0.1404,
["reseni"] = {
["float"] = -2.3809523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -50,
["jmenovatel"] = 21 },
["render"] = "\\frac{100}{-42}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{8}{21}",
["x"] = -2,
["y"] = 8,
["z"] = 21 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 + 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(5 + 5)^2}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(5 + 5)^2}{7}}{-6}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.11, bodu=25, $$\frac{-7}{(4\frac{1}{3} + 6 - 11)^2}=\textcolor{white}{-15{,}75}$$return {
["body"] = 25,
["id"] = "nd43FK_1107_1358",
["obtiznost"] = 0.3152,
["reseni"] = {
["float"] = -15.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -63,
["jmenovatel"] = 4 },
["render"] = "\\frac{-63}{4}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{3}{4}",
["tex_float"] = "-15{,}75",
["x"] = -15,
["y"] = 3,
["z"] = 4 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 - 11",
["typ"] = "minus" },
["render"] = "4\\frac{1}{3} + 6 - 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{1}{3} + 6 - 11)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-7}{(4\\frac{1}{3} + 6 - 11)^2}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.12, bodu=26, $$\frac{7 \cdot 11}{1\frac{4}{8} - 4}=\textcolor{white}{-30{,}8}$$return {
["body"] = 26,
["id"] = "tcFUyO_1107_1358",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = -30.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -154,
["jmenovatel"] = 5 },
["render"] = "\\frac{154}{-5}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{4}{5}",
["tex_float"] = "-30{,}8",
["x"] = -30,
["y"] = 4,
["z"] = 5 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 4",
["typ"] = "minus" },
["render"] = "\\frac{7 \\cdot 11}{1\\frac{4}{8} - 4}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.13, bodu=27, $$-3 - 1\frac{5}{6} - \frac{-9}{6}=\textcolor{white}{-3\frac{1}{3}}$$return {
["body"] = 27,
["id"] = "7bKQgx_1107_1358",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = -3.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 3 },
["render"] = "\\frac{-40}{12}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{3}",
["x"] = -3,
["y"] = 1,
["z"] = 3 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "-3 - 1\\frac{5}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{6}",
["typ"] = "lomeno" },
["render"] = "-3 - 1\\frac{5}{6} - \\frac{-9}{6}",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.14, bodu=14, $$\frac{\frac{7}{-9}}{8}=\textcolor{white}{-\frac{7}{72}}$$return {
["body"] = 14,
["id"] = "mhnZzv_1107_1358",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -0.097222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 72 },
["render"] = "\\frac{-7}{72}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{72}",
["y"] = -7,
["z"] = 72 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{-9}}{8}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.15, bodu=23, $$\frac{10}{3 - (2 - 9)^3}=\textcolor{white}{\frac{5}{173}}$$return {
["body"] = 23,
["id"] = "7p8VQ5_1107_1358",
["obtiznost"] = 0.2876,
["reseni"] = {
["float"] = 0.028901734104046,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 173 },
["render"] = "\\frac{10}{346}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{173}",
["y"] = 5,
["z"] = 173 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2 - 9",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(2 - 9)^3",
["typ"] = "mocnina" },
["render"] = "3 - (2 - 9)^3",
["typ"] = "minus" },
["render"] = "\\frac{10}{3 - (2 - 9)^3}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.16, bodu=24, $$(\frac{9}{\frac{9}{6 + 12}})^2=\textcolor{white}{324}$$return {
["body"] = 24,
["id"] = "iv99Nv_1107_1358",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 324,
["jmenovatel"] = 1 },
["render"] = "\\frac{324}{1}",
["typ"] = "cislo" },
["tex"] = "324",
["x"] = 324 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "6 + 12",
["typ"] = "plus" },
["render"] = "\\frac{9}{6 + 12}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{9}{6 + 12}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{\\frac{9}{6 + 12}})^2",
["typ"] = "mocnina" } }
seed: AorZsPDPU2ipTD0DMTgH_0.17, bodu=17, $$\frac{11}{-9 + (\frac{12}{-8})^3}=\textcolor{white}{-\frac{8}{9}}$$return {
["body"] = 17,
["id"] = "BnqnZA_1107_1358",
["obtiznost"] = 0.184,
["reseni"] = {
["float"] = -0.88888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 9 },
["render"] = "\\frac{88}{-99}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{9}",
["y"] = -8,
["z"] = 9 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{-8})^3",
["typ"] = "mocnina" },
["render"] = "-9 + (\\frac{12}{-8})^3",
["typ"] = "plus" },
["render"] = "\\frac{11}{-9 + (\\frac{12}{-8})^3}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.18, bodu=31, $$\frac{\frac{10}{9}}{1\frac{5}{7} + (-7)}=\textcolor{white}{-\frac{70}{333}}$$return {
["body"] = 31,
["id"] = "CDywq3_1107_1358",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -0.21021021021021,
["objekt"] = {
["hodnota"] = {
["citatel"] = -70,
["jmenovatel"] = 333 },
["render"] = "\\frac{70}{-333}",
["typ"] = "cislo" },
["tex"] = "-\\frac{70}{333}",
["y"] = -70,
["z"] = 333 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{10}{9}}{1\\frac{5}{7} + (-7)}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.19, bodu=44, $$(\frac{-7}{8})^3 \cdot 3=\textcolor{white}{-2\frac{5}{512}}$$return {
["body"] = 44,
["id"] = "phlTvz_1107_1358",
["obtiznost"] = 0.532,
["reseni"] = {
["float"] = -2.009765625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1029,
["jmenovatel"] = 512 },
["render"] = "\\frac{-1029}{512}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{5}{512}",
["x"] = -2,
["y"] = 5,
["z"] = 512 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.19",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-7}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(\\frac{-7}{8})^3 \\cdot 3",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.2, bodu=18, $$\frac{6}{-12 - 4\frac{2}{2} - (2 - (-9))}=\textcolor{white}{-\frac{3}{14}}$$return {
["body"] = 18,
["id"] = "iKUeKe_1107_1358",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -0.21428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 14 },
["render"] = "\\frac{6}{-28}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{14}",
["y"] = -3,
["z"] = 14 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "-12 - 4\\frac{2}{2}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2 - (-9)",
["typ"] = "minus" },
["render"] = "(2 - (-9))",
["typ"] = "zavorka" },
["render"] = "-12 - 4\\frac{2}{2} - (2 - (-9))",
["typ"] = "minus" },
["render"] = "\\frac{6}{-12 - 4\\frac{2}{2} - (2 - (-9))}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.21, bodu=33, $$\frac{7 + 2\frac{1}{5} + 9}{-5} - 5=\textcolor{white}{-8{,}64}$$return {
["body"] = 33,
["id"] = "UQigqt_1107_1358",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -8.64,
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 25 },
["render"] = "\\frac{-216}{25}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{16}{25}",
["tex_float"] = "-8{,}64",
["x"] = -8,
["y"] = 16,
["z"] = 25 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{1}{5} + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 2\\frac{1}{5} + 9}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 2\\frac{1}{5} + 9}{-5} - 5",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.22, bodu=13, $$((10 + 6)^2 - 9) \cdot 9 \cdot 10=\textcolor{white}{22230}$$return {
["body"] = 13,
["id"] = "LQ7nZJ_1107_1358",
["obtiznost"] = 0.3228,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 22230,
["jmenovatel"] = 1 },
["render"] = "\\frac{22230}{1}",
["typ"] = "cislo" },
["tex"] = "22230",
["x"] = 22230 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(10 + 6)^2 - 9",
["typ"] = "minus" },
["render"] = "((10 + 6)^2 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "((10 + 6)^2 - 9) \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "((10 + 6)^2 - 9) \\cdot 9 \\cdot 10",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.23, bodu=55, $$(14 - 2\frac{2}{4}) \cdot (-11 + 4\frac{3}{6} \cdot -4)=\textcolor{white}{-333{,}5}$$return {
["body"] = 55,
["id"] = "ALPiwe_1107_1358",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -333.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -667,
["jmenovatel"] = 2 },
["render"] = "\\frac{-667}{2}",
["typ"] = "cislo" },
["tex"] = "-333\\frac{1}{2}",
["tex_float"] = "-333{,}5",
["x"] = -333,
["y"] = 1,
["z"] = 2 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.23",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "14 - 2\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(14 - 2\\frac{2}{4})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} \\cdot -4",
["typ"] = "krat" },
["render"] = "-11 + 4\\frac{3}{6} \\cdot -4",
["typ"] = "plus" },
["render"] = "(-11 + 4\\frac{3}{6} \\cdot -4)",
["typ"] = "zavorka" },
["render"] = "(14 - 2\\frac{2}{4}) \\cdot (-11 + 4\\frac{3}{6} \\cdot -4)",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.24, bodu=57, $$(1\frac{3}{6} - 1\frac{2}{4} + 3)^3 \cdot (11 + 12)=\textcolor{white}{621}$$return {
["body"] = 57,
["id"] = "6snlkw_1107_1358",
["obtiznost"] = 0.6512,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 621,
["jmenovatel"] = 1 },
["render"] = "\\frac{621}{1}",
["typ"] = "cislo" },
["tex"] = "621",
["x"] = 621 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.24",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - 1\\frac{2}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - 1\\frac{2}{4} + 3",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{3}{6} - 1\\frac{2}{4} + 3)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 + 12",
["typ"] = "plus" },
["render"] = "(11 + 12)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{6} - 1\\frac{2}{4} + 3)^3 \\cdot (11 + 12)",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.25, bodu=21, $$6 + 9 + 9 + \frac{9}{9}=\textcolor{white}{25}$$return {
["body"] = 21,
["id"] = "tJWyYQ_1107_1358",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 1 },
["render"] = "\\frac{25}{1}",
["typ"] = "cislo" },
["tex"] = "25",
["x"] = 25 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{9}",
["typ"] = "lomeno" },
["render"] = "6 + 9 + 9 + \\frac{9}{9}",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.26, bodu=38, $$11 \cdot 3\frac{3}{4} \cdot -10 + 8=\textcolor{white}{-404{,}5}$$return {
["body"] = 38,
["id"] = "6W6iGE_1107_1358",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -404.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -809,
["jmenovatel"] = 2 },
["render"] = "\\frac{-809}{2}",
["typ"] = "cislo" },
["tex"] = "-404\\frac{1}{2}",
["tex_float"] = "-404{,}5",
["x"] = -404,
["y"] = 1,
["z"] = 2 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{4} \\cdot -10",
["typ"] = "krat" },
["render"] = "11 \\cdot 3\\frac{3}{4} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 3\\frac{3}{4} \\cdot -10 + 8",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.27, bodu=59, $$\frac{1\frac{2}{6}}{11} - \frac{2\frac{5}{9}}{12}=\textcolor{white}{-\frac{109}{1188}}$$return {
["body"] = 59,
["id"] = "e8Td8N_1107_1358",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -0.091750841750842,
["objekt"] = {
["hodnota"] = {
["citatel"] = -109,
["jmenovatel"] = 1188 },
["render"] = "\\frac{-327}{3564}",
["typ"] = "cislo" },
["tex"] = "-\\frac{109}{1188}",
["y"] = -109,
["z"] = 1188 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{6}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{6}}{11} - \\frac{2\\frac{5}{9}}{12}",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.28, bodu=12, $$9 + (9 - (10 - (-8)))^2 - 10=\textcolor{white}{80}$$return {
["body"] = 12,
["id"] = "cAmeUf_1107_1358",
["obtiznost"] = 0.3128,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 1 },
["render"] = "\\frac{80}{1}",
["typ"] = "cislo" },
["tex"] = "80",
["x"] = 80 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 - (-8)",
["typ"] = "minus" },
["render"] = "(10 - (-8))",
["typ"] = "zavorka" },
["render"] = "9 - (10 - (-8))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(9 - (10 - (-8)))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(9 - (10 - (-8)))^2 - 10",
["typ"] = "minus" },
["render"] = "9 + (9 - (10 - (-8)))^2 - 10",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.29, bodu=12, $$9 \cdot (8 + (-10)) \cdot 6=\textcolor{white}{-108}$$return {
["body"] = 12,
["id"] = "shQNLi_1107_1358",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 1 },
["render"] = "\\frac{-108}{1}",
["typ"] = "cislo" },
["tex"] = "-108",
["x"] = -108 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "8 + (-10)",
["typ"] = "plus" },
["render"] = "(8 + (-10))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (8 + (-10))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot (8 + (-10)) \\cdot 6",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.3, bodu=14, $$13 - ((-8 - 4)^2 + (-9)) + 8=\textcolor{white}{-114}$$return {
["body"] = 14,
["id"] = "YdTiIJ_1107_1358",
["obtiznost"] = 0.358,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -114,
["jmenovatel"] = 1 },
["render"] = "\\frac{-114}{1}",
["typ"] = "cislo" },
["tex"] = "-114",
["x"] = -114 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-8 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-8 - 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(-8 - 4)^2 + (-9)",
["typ"] = "plus" },
["render"] = "((-8 - 4)^2 + (-9))",
["typ"] = "zavorka" },
["render"] = "13 - ((-8 - 4)^2 + (-9))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 - ((-8 - 4)^2 + (-9)) + 8",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.31, bodu=32, $$(\frac{(11 - 2) \cdot -10}{-12})^2=\textcolor{white}{56{,}25}$$return {
["body"] = 32,
["id"] = "z9ngCO_1107_1358",
["obtiznost"] = 0.4016,
["reseni"] = {
["float"] = 56.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 225,
["jmenovatel"] = 4 },
["render"] = "\\frac{225}{4}",
["typ"] = "cislo" },
["tex"] = "56\\frac{1}{4}",
["tex_float"] = "56{,}25",
["x"] = 56,
["y"] = 1,
["z"] = 4 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.31",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "11 - 2",
["typ"] = "minus" },
["render"] = "(11 - 2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(11 - 2) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(11 - 2) \\cdot -10}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(11 - 2) \\cdot -10}{-12})^2",
["typ"] = "mocnina" } }
seed: AorZsPDPU2ipTD0DMTgH_0.32, bodu=26, $$\frac{9 - 7}{11 \cdot 10}=\textcolor{white}{\frac{1}{55}}$$return {
["body"] = 26,
["id"] = "I3jODw_1107_1358",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 0.018181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 55 },
["render"] = "\\frac{2}{110}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{55}",
["y"] = 1,
["z"] = 55 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.32",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{9 - 7}{11 \\cdot 10}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.33, bodu=24, $$12 \cdot (5 + (3 + 2)^4 + 10)=\textcolor{white}{7680}$$return {
["body"] = 24,
["id"] = "lzeJd9_1107_1358",
["obtiznost"] = 0.5804,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 7680,
["jmenovatel"] = 1 },
["render"] = "\\frac{7680}{1}",
["typ"] = "cislo" },
["tex"] = "7680",
["tex_float"] = "7680",
["x"] = 7680 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "3 + 2",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(3 + 2)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(3 + 2)^4 + 10",
["typ"] = "plus" },
["render"] = "5 + (3 + 2)^4 + 10",
["typ"] = "plus" },
["render"] = "(5 + (3 + 2)^4 + 10)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (5 + (3 + 2)^4 + 10)",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.34, bodu=27, $$14 - \frac{10 + 10}{-14 - 5}=\textcolor{white}{15\frac{1}{19}}$$return {
["body"] = 27,
["id"] = "PJAWSv_1107_1358",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 15.052631578947,
["objekt"] = {
["hodnota"] = {
["citatel"] = 286,
["jmenovatel"] = 19 },
["render"] = "\\frac{286}{19}",
["typ"] = "cislo" },
["tex"] = "15\\frac{1}{19}",
["x"] = 15,
["y"] = 1,
["z"] = 19 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-14 - 5",
["typ"] = "minus" },
["render"] = "\\frac{10 + 10}{-14 - 5}",
["typ"] = "lomeno" },
["render"] = "14 - \\frac{10 + 10}{-14 - 5}",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.35, bodu=14, $$-9 \cdot (-10 \cdot 6 - 12)=\textcolor{white}{648}$$return {
["body"] = 14,
["id"] = "s2XPwo_1107_1358",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 648,
["jmenovatel"] = 1 },
["render"] = "\\frac{648}{1}",
["typ"] = "cislo" },
["tex"] = "648",
["x"] = 648 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 6 - 12",
["typ"] = "minus" },
["render"] = "(-10 \\cdot 6 - 12)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (-10 \\cdot 6 - 12)",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.36, bodu=69, $$(-10 + \frac{2\frac{1}{6} + 11}{2\frac{5}{9}}) \cdot -13=\textcolor{white}{63\frac{1}{46}}$$return {
["body"] = 69,
["id"] = "iUM5Yl_1107_1358",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 63.021739130435,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2899,
["jmenovatel"] = 46 },
["render"] = "\\frac{2899}{46}",
["typ"] = "cislo" },
["tex"] = "63\\frac{1}{46}",
["x"] = 63,
["y"] = 1,
["z"] = 46 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.36",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6} + 11}{2\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{2\\frac{1}{6} + 11}{2\\frac{5}{9}}",
["typ"] = "plus" },
["render"] = "(-10 + \\frac{2\\frac{1}{6} + 11}{2\\frac{5}{9}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(-10 + \\frac{2\\frac{1}{6} + 11}{2\\frac{5}{9}}) \\cdot -13",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.37, bodu=59, $$13 + 2\frac{2}{3} - (8 - (\frac{14}{7})^2)^4=\textcolor{white}{-240\frac{1}{3}}$$return {
["body"] = 59,
["id"] = "LFGQDf_1107_1358",
["obtiznost"] = 0.6748,
["reseni"] = {
["float"] = -240.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -721,
["jmenovatel"] = 3 },
["render"] = "\\frac{-721}{3}",
["typ"] = "cislo" },
["tex"] = "-240\\frac{1}{3}",
["x"] = -240,
["y"] = 1,
["z"] = 3 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "13 + 2\\frac{2}{3}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{14}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{7})^2",
["typ"] = "mocnina" },
["render"] = "8 - (\\frac{14}{7})^2",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - (\\frac{14}{7})^2)^4",
["typ"] = "mocnina" },
["render"] = "13 + 2\\frac{2}{3} - (8 - (\\frac{14}{7})^2)^4",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.38, bodu=49, $$\frac{3\frac{4}{11} + (-7)}{4 \cdot 13}=\textcolor{white}{-\frac{10}{143}}$$return {
["body"] = 49,
["id"] = "5M4s9V_1107_1358",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -0.06993006993007,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 143 },
["render"] = "\\frac{-40}{572}",
["typ"] = "cislo" },
["tex"] = "-\\frac{10}{143}",
["y"] = -10,
["z"] = 143 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{11} + (-7)}{4 \\cdot 13}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.39, bodu=50, $$\frac{3\frac{3}{8}}{\frac{-10 \cdot 8}{9}}=\textcolor{white}{-\frac{243}{640}}$$return {
["body"] = 50,
["id"] = "yGfYNF_1107_1358",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -0.3796875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -243,
["jmenovatel"] = 640 },
["render"] = "\\frac{243}{-640}",
["typ"] = "cislo" },
["tex"] = "-\\frac{243}{640}",
["y"] = -243,
["z"] = 640 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["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"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot 8}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{8}}{\\frac{-10 \\cdot 8}{9}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.4, bodu=36, $$\frac{-11 + 4}{(13 + 9 - 12)^2 + 12}=\textcolor{white}{-\frac{1}{16}}$$return {
["body"] = 36,
["id"] = "pTbPqt_1107_1358",
["obtiznost"] = 0.4404,
["reseni"] = {
["float"] = -0.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 16 },
["render"] = "\\frac{-7}{112}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{16}",
["y"] = -1,
["z"] = 16 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 + 4",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 - 12",
["typ"] = "minus" },
["render"] = "13 + 9 - 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + 9 - 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(13 + 9 - 12)^2 + 12",
["typ"] = "plus" },
["render"] = "\\frac{-11 + 4}{(13 + 9 - 12)^2 + 12}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.41, bodu=52, $$\frac{13}{8} + \frac{4\frac{5}{7} + (-13)}{-5}=\textcolor{white}{3\frac{79}{280}}$$return {
["body"] = 52,
["id"] = "67pggn_1107_1358",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 3.2821428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 919,
["jmenovatel"] = 280 },
["render"] = "\\frac{919}{280}",
["typ"] = "cislo" },
["tex"] = "3\\frac{79}{280}",
["x"] = 3,
["y"] = 79,
["z"] = 280 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{13}{8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{7} + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7} + (-13)}{-5}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{8} + \\frac{4\\frac{5}{7} + (-13)}{-5}",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.42, bodu=34, $$\frac{(\frac{6}{12})^3}{9 \cdot -12 - (-10)}=\textcolor{white}{-\frac{1}{784}}$$return {
["body"] = 34,
["id"] = "TKbMvw_1107_1358",
["obtiznost"] = 0.4236,
["reseni"] = {
["float"] = -0.0012755102040816,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 784 },
["render"] = "\\frac{1}{-784}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{784}",
["y"] = -1,
["z"] = 784 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.42",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{6}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{12})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 \\cdot -12 - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{6}{12})^3}{9 \\cdot -12 - (-10)}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.43, bodu=78, $$\frac{4}{9} + \frac{1\frac{5}{6}}{-9} + 3\frac{1}{7}=\textcolor{white}{3\frac{145}{378}}$$return {
["body"] = 78,
["id"] = "sZNwB2_1107_1358",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 3.3835978835979,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1279,
["jmenovatel"] = 378 },
["render"] = "\\frac{11511}{3402}",
["typ"] = "cislo" },
["tex"] = "3\\frac{145}{378}",
["x"] = 3,
["y"] = 145,
["z"] = 378 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{6}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{6}}{-9} + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{4}{9} + \\frac{1\\frac{5}{6}}{-9} + 3\\frac{1}{7}",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.44, bodu=79, $$4 \cdot 9 \cdot (\frac{3\frac{2}{7}}{1\frac{1}{3}} + (-8))=\textcolor{white}{-199\frac{2}{7}}$$return {
["body"] = 79,
["id"] = "K5jbTw_1107_1358",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -199.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1395,
["jmenovatel"] = 7 },
["render"] = "\\frac{-5580}{28}",
["typ"] = "cislo" },
["tex"] = "-199\\frac{2}{7}",
["x"] = -199,
["y"] = 2,
["z"] = 7 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{1\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{1\\frac{1}{3}} + (-8)",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{2}{7}}{1\\frac{1}{3}} + (-8))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (\\frac{3\\frac{2}{7}}{1\\frac{1}{3}} + (-8))",
["typ"] = "krat" },
["render"] = "4 \\cdot 9 \\cdot (\\frac{3\\frac{2}{7}}{1\\frac{1}{3}} + (-8))",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.45, bodu=57, $$-6 \cdot 4 - (1\frac{3}{6} + (-7 \cdot 10))=\textcolor{white}{44{,}5}$$return {
["body"] = 57,
["id"] = "f5wjln_1107_1358",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 44.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 2 },
["render"] = "\\frac{89}{2}",
["typ"] = "cislo" },
["tex"] = "44\\frac{1}{2}",
["tex_float"] = "44{,}5",
["x"] = 44,
["y"] = 1,
["z"] = 2 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 10",
["typ"] = "krat" },
["render"] = "1\\frac{3}{6} + (-7 \\cdot 10)",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{6} + (-7 \\cdot 10))",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot 4 - (1\\frac{3}{6} + (-7 \\cdot 10))",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.46, bodu=58, $$\frac{\frac{-7}{5} + (-8 \cdot -5)}{3\frac{5}{9}}=\textcolor{white}{10\frac{137}{160}}$$return {
["body"] = 58,
["id"] = "VSRDdU_1107_1358",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 10.85625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1737,
["jmenovatel"] = 160 },
["render"] = "\\frac{1737}{160}",
["typ"] = "cislo" },
["tex"] = "10\\frac{137}{160}",
["x"] = 10,
["y"] = 137,
["z"] = 160 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{-7}{5} + (-8 \\cdot -5)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{5} + (-8 \\cdot -5)}{3\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.47, bodu=72, $$\frac{-10}{((-11 + 2\frac{4}{8})^2 + 6) \cdot 15}=\textcolor{white}{-\frac{8}{939}}$$return {
["body"] = 72,
["id"] = "kgFvG2_1107_1358",
["obtiznost"] = 0.7872,
["reseni"] = {
["float"] = -0.0085197018104366,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 939 },
["render"] = "\\frac{-40}{4695}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{939}",
["y"] = -8,
["z"] = 939 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-11 + 2\\frac{4}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + 2\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-11 + 2\\frac{4}{8})^2 + 6",
["typ"] = "plus" },
["render"] = "((-11 + 2\\frac{4}{8})^2 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "((-11 + 2\\frac{4}{8})^2 + 6) \\cdot 15",
["typ"] = "krat" },
["render"] = "\\frac{-10}{((-11 + 2\\frac{4}{8})^2 + 6) \\cdot 15}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.48, bodu=102, $$\frac{2\frac{2}{9} - 3\frac{5}{7}}{((-9 - (-8))^2 + (-8))^3}=\textcolor{white}{\frac{94}{21609}}$$return {
["body"] = 102,
["id"] = "zetX2d_1107_1358",
["obtiznost"] = 1.0184,
["reseni"] = {
["float"] = 0.0043500393354621,
["objekt"] = {
["hodnota"] = {
["citatel"] = 94,
["jmenovatel"] = 21609 },
["render"] = "\\frac{-94}{-21609}",
["typ"] = "cislo" },
["tex"] = "\\frac{94}{21609}",
["y"] = 94,
["z"] = 21609 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} - 3\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-9 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-9 - (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(-9 - (-8))^2 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "((-9 - (-8))^2 + (-8))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{2}{9} - 3\\frac{5}{7}}{((-9 - (-8))^2 + (-8))^3}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.49, bodu=120, $$3 - (\frac{6}{(5 \cdot 1\frac{4}{6})^2} + 4\frac{5}{9})=\textcolor{white}{-1\frac{3611}{5625}}$$return {
["body"] = 120,
["id"] = "gAkTdf_1107_1358",
["obtiznost"] = 1.1436,
["reseni"] = {
["float"] = -1.6419555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9236,
["jmenovatel"] = 5625 },
["render"] = "\\frac{-9236}{5625}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3611}{5625}",
["x"] = -1,
["y"] = 3611,
["z"] = 5625 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 1\\frac{4}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(5 \\cdot 1\\frac{4}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{6}{(5 \\cdot 1\\frac{4}{6})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{(5 \\cdot 1\\frac{4}{6})^2} + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{6}{(5 \\cdot 1\\frac{4}{6})^2} + 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "3 - (\\frac{6}{(5 \\cdot 1\\frac{4}{6})^2} + 4\\frac{5}{9})",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.5, bodu=62, $$\frac{9}{-10} + 13 \cdot -10 + 2\frac{3}{5}=\textcolor{white}{-128{,}3}$$return {
["body"] = 62,
["id"] = "IqUyK6_1107_1358",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -128.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1283,
["jmenovatel"] = 10 },
["render"] = "\\frac{-6415}{50}",
["typ"] = "cislo" },
["tex"] = "-128\\frac{3}{10}",
["tex_float"] = "-128{,}3",
["x"] = -128,
["y"] = 3,
["z"] = 10 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "13 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "13 \\cdot -10 + 2\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "\\frac{9}{-10} + 13 \\cdot -10 + 2\\frac{3}{5}",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.51, bodu=63, $$3\frac{2}{6} \cdot (10 - \frac{\frac{-8}{11}}{11})=\textcolor{white}{33\frac{67}{121}}$$return {
["body"] = 63,
["id"] = "d8uzTF_1107_1358",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 33.553719008264,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4060,
["jmenovatel"] = 121 },
["render"] = "\\frac{12180}{363}",
["typ"] = "cislo" },
["tex"] = "33\\frac{67}{121}",
["x"] = 33,
["y"] = 67,
["z"] = 121 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8}{11}}{11}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{\\frac{-8}{11}}{11}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{\\frac{-8}{11}}{11})",
["typ"] = "zavorka" },
["render"] = "3\\frac{2}{6} \\cdot (10 - \\frac{\\frac{-8}{11}}{11})",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.52, bodu=65, $$(5 + (-13))^3 - \frac{4}{-7 \cdot 10}=\textcolor{white}{-511\frac{33}{35}}$$return {
["body"] = 65,
["id"] = "3iUgdp_1107_1358",
["obtiznost"] = 0.7252,
["reseni"] = {
["float"] = -511.94285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17918,
["jmenovatel"] = 35 },
["render"] = "\\frac{-17918}{35}",
["typ"] = "cislo" },
["tex"] = "-511\\frac{33}{35}",
["x"] = -511,
["y"] = 33,
["z"] = 35 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.52",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "5 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(5 + (-13))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{4}{-7 \\cdot 10}",
["typ"] = "lomeno" },
["render"] = "(5 + (-13))^3 - \\frac{4}{-7 \\cdot 10}",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.53, bodu=67, $$\frac{16 + 13}{1\frac{3}{8}} - (-16 - (-10))^2=\textcolor{white}{-14\frac{10}{11}}$$return {
["body"] = 67,
["id"] = "hWSPoe_1107_1358",
["obtiznost"] = 0.7448,
["reseni"] = {
["float"] = -14.909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -164,
["jmenovatel"] = 11 },
["render"] = "\\frac{-164}{11}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{10}{11}",
["x"] = -14,
["y"] = 10,
["z"] = 11 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "16 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{16 + 13}{1\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-16 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-16 - (-10))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{16 + 13}{1\\frac{3}{8}} - (-16 - (-10))^2",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.54, bodu=67, $$8 \cdot 13 \cdot (7 \cdot 3\frac{2}{8} - 14)=\textcolor{white}{910}$$return {
["body"] = 67,
["id"] = "bvrxfR_1107_1358",
["obtiznost"] = 0.74,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 910,
["jmenovatel"] = 1 },
["render"] = "\\frac{3640}{4}",
["typ"] = "cislo" },
["tex"] = "910",
["x"] = 910 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{2}{8} - 14",
["typ"] = "minus" },
["render"] = "(7 \\cdot 3\\frac{2}{8} - 14)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 13 \\cdot (7 \\cdot 3\\frac{2}{8} - 14)",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.55, bodu=23, $$(8 - 10 \cdot -16) \cdot (13 - (-11))=\textcolor{white}{4032}$$return {
["body"] = 23,
["id"] = "eiYhXQ_1107_1358",
["obtiznost"] = 0.55,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4032,
["jmenovatel"] = 1 },
["render"] = "\\frac{4032}{1}",
["typ"] = "cislo" },
["tex"] = "4032",
["tex_float"] = "4032",
["x"] = 4032 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.55",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "10 \\cdot -16",
["typ"] = "krat" },
["render"] = "8 - 10 \\cdot -16",
["typ"] = "minus" },
["render"] = "(8 - 10 \\cdot -16)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "13 - (-11)",
["typ"] = "minus" },
["render"] = "(13 - (-11))",
["typ"] = "zavorka" },
["render"] = "(8 - 10 \\cdot -16) \\cdot (13 - (-11))",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.56, bodu=71, $$\frac{(\frac{-10}{-8})^2 + 1\frac{1}{7}}{14} - (-10)=\textcolor{white}{10\frac{303}{1568}}$$return {
["body"] = 71,
["id"] = "d6QB1b_1107_1358",
["obtiznost"] = 0.7764,
["reseni"] = {
["float"] = 10.193239795918,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15983,
["jmenovatel"] = 1568 },
["render"] = "\\frac{15983}{1568}",
["typ"] = "cislo" },
["tex"] = "10\\frac{303}{1568}",
["x"] = 10,
["y"] = 303,
["z"] = 1568 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{-8})^2 + 1\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-10}{-8})^2 + 1\\frac{1}{7}}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-10}{-8})^2 + 1\\frac{1}{7}}{14} - (-10)",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.57, bodu=70, $$-12 + \frac{-4 \cdot (4 + 8)}{3\frac{4}{9}}=\textcolor{white}{-25\frac{29}{31}}$$return {
["body"] = 70,
["id"] = "ZAdUeQ_1107_1358",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -25.935483870968,
["objekt"] = {
["hodnota"] = {
["citatel"] = -804,
["jmenovatel"] = 31 },
["render"] = "\\frac{-804}{31}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{29}{31}",
["x"] = -25,
["y"] = 29,
["z"] = 31 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["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"] = "plus" },
["render"] = "(4 + 8)",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (4 + 8)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-4 \\cdot (4 + 8)}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{-4 \\cdot (4 + 8)}{3\\frac{4}{9}}",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.58, bodu=49, $$\frac{\frac{12 + (-13)}{-11 + (-10)}}{-8}=\textcolor{white}{-\frac{1}{168}}$$return {
["body"] = 49,
["id"] = "U45Z08_1107_1358",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -0.005952380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 168 },
["render"] = "\\frac{1}{-168}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{168}",
["y"] = -1,
["z"] = 168 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "12 + (-13)",
["typ"] = "plus" },
["c2"] = {
["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"] = "\\frac{12 + (-13)}{-11 + (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12 + (-13)}{-11 + (-10)}}{-8}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.59, bodu=73, $$(3\frac{5}{10} - 10) \cdot \frac{12}{-11} \cdot 11=\textcolor{white}{78}$$return {
["body"] = 73,
["id"] = "x4LaK8_1107_1358",
["obtiznost"] = 0.79,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 78,
["jmenovatel"] = 1 },
["render"] = "\\frac{156}{2}",
["typ"] = "cislo" },
["tex"] = "78",
["tex_float"] = "78",
["x"] = 78 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - 10",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{10} - 10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-11} \\cdot 11",
["typ"] = "krat" },
["render"] = "(3\\frac{5}{10} - 10) \\cdot \\frac{12}{-11} \\cdot 11",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.6, bodu=53, $$(\frac{7}{-12} + 5) \cdot ((\frac{10}{-6})^2 - 12)=\textcolor{white}{-40\frac{79}{108}}$$return {
["body"] = 53,
["id"] = "tqfuXH_1107_1358",
["obtiznost"] = 0.6136,
["reseni"] = {
["float"] = -40.731481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4399,
["jmenovatel"] = 108 },
["render"] = "\\frac{-4399}{108}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{79}{108}",
["x"] = -40,
["y"] = 79,
["z"] = 108 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-12} + 5",
["typ"] = "plus" },
["render"] = "(\\frac{7}{-12} + 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{10}{-6})^2 - 12",
["typ"] = "minus" },
["render"] = "((\\frac{10}{-6})^2 - 12)",
["typ"] = "zavorka" },
["render"] = "(\\frac{7}{-12} + 5) \\cdot ((\\frac{10}{-6})^2 - 12)",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.61, bodu=75, $$15 + \frac{-4}{\frac{18}{-18 \cdot 4\frac{1}{5}}}=\textcolor{white}{31{,}8}$$return {
["body"] = 75,
["id"] = "DJH1oK_1107_1358",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 31.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 159,
["jmenovatel"] = 5 },
["render"] = "\\frac{159}{5}",
["typ"] = "cislo" },
["tex"] = "31\\frac{4}{5}",
["tex_float"] = "31{,}8",
["x"] = 31,
["y"] = 4,
["z"] = 5 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 4\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "\\frac{18}{-18 \\cdot 4\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-4}{\\frac{18}{-18 \\cdot 4\\frac{1}{5}}}",
["typ"] = "lomeno" },
["render"] = "15 + \\frac{-4}{\\frac{18}{-18 \\cdot 4\\frac{1}{5}}}",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.62, bodu=27, $$(8 - 11) \cdot -19 \cdot (9 - 8)^3=\textcolor{white}{57}$$return {
["body"] = 27,
["id"] = "F4sXiZ_1107_1358",
["obtiznost"] = 0.6208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 1 },
["render"] = "\\frac{57}{1}",
["typ"] = "cislo" },
["tex"] = "57",
["tex_float"] = "57",
["x"] = 57 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 - 11",
["typ"] = "minus" },
["render"] = "(8 - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(8 - 11) \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 8)^3",
["typ"] = "mocnina" },
["render"] = "(8 - 11) \\cdot -19 \\cdot (9 - 8)^3",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.63, bodu=104, $$(4\frac{4}{9} - \frac{1\frac{5}{13} \cdot 15}{9 + 7}) \cdot -13=\textcolor{white}{-40\frac{65}{72}}$$return {
["body"] = 104,
["id"] = "QTG86n_1107_1358",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -40.902777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2945,
["jmenovatel"] = 72 },
["render"] = "\\frac{-38285}{936}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{65}{72}",
["x"] = -40,
["y"] = 65,
["z"] = 72 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} \\cdot 15",
["typ"] = "krat" },
["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"] = "plus" },
["render"] = "\\frac{1\\frac{5}{13} \\cdot 15}{9 + 7}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{9} - \\frac{1\\frac{5}{13} \\cdot 15}{9 + 7}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{9} - \\frac{1\\frac{5}{13} \\cdot 15}{9 + 7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{9} - \\frac{1\\frac{5}{13} \\cdot 15}{9 + 7}) \\cdot -13",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.64, bodu=148, $$-13 + (-11 - 2\frac{4}{8})^2 - 3\frac{4}{9} - 11 - 11=\textcolor{white}{143\frac{29}{36}}$$return {
["body"] = 148,
["id"] = "ssWvAx_1107_1358",
["obtiznost"] = 1.3332,
["reseni"] = {
["float"] = 143.80555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5177,
["jmenovatel"] = 36 },
["render"] = "\\frac{5177}{36}",
["typ"] = "cislo" },
["tex"] = "143\\frac{29}{36}",
["x"] = 143,
["y"] = 29,
["z"] = 36 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-11 - 2\\frac{4}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - 2\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(-11 - 2\\frac{4}{8})^2 - 3\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-11 - 2\\frac{4}{8})^2 - 3\\frac{4}{9} - 11",
["typ"] = "minus" },
["render"] = "-13 + (-11 - 2\\frac{4}{8})^2 - 3\\frac{4}{9} - 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 + (-11 - 2\\frac{4}{8})^2 - 3\\frac{4}{9} - 11 - 11",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.65, bodu=80, $$2\frac{4}{9} \cdot -15 \cdot -19 \cdot (-13 - (-14))^3=\textcolor{white}{696\frac{2}{3}}$$return {
["body"] = 80,
["id"] = "fbZu7R_1107_1358",
["obtiznost"] = 0.8508,
["reseni"] = {
["float"] = 696.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2090,
["jmenovatel"] = 3 },
["render"] = "\\frac{2090}{3}",
["typ"] = "cislo" },
["tex"] = "696\\frac{2}{3}",
["x"] = 696,
["y"] = 2,
["z"] = 3 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} \\cdot -15 \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-13 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-13 - (-14))^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{9} \\cdot -15 \\cdot -19 \\cdot (-13 - (-14))^3",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.66, bodu=166, $$\frac{3\frac{3}{7}}{\frac{13 + 15}{(-19 + 3\frac{4}{8})^2 + 13 - (-9)}}=\textcolor{white}{32\frac{11}{98}}$$return {
["body"] = 166,
["id"] = "KnBn3j_1107_1358",
["obtiznost"] = 1.446,
["reseni"] = {
["float"] = 32.112244897959,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3147,
["jmenovatel"] = 98 },
["render"] = "\\frac{25176}{784}",
["typ"] = "cislo" },
["tex"] = "32\\frac{11}{98}",
["x"] = 32,
["y"] = 11,
["z"] = 98 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "13 + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-19 + 3\\frac{4}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-19 + 3\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-19 + 3\\frac{4}{8})^2 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(-19 + 3\\frac{4}{8})^2 + 13 - (-9)",
["typ"] = "minus" },
["render"] = "\\frac{13 + 15}{(-19 + 3\\frac{4}{8})^2 + 13 - (-9)}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{7}}{\\frac{13 + 15}{(-19 + 3\\frac{4}{8})^2 + 13 - (-9)}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.67, bodu=83, $$\frac{-11}{2\frac{4}{8}} \cdot -11 \cdot 10 \cdot 17=\textcolor{white}{8228}$$return {
["body"] = 83,
["id"] = "8EfNWg_1107_1358",
["obtiznost"] = 0.87,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8228,
["jmenovatel"] = 1 },
["render"] = "\\frac{8228}{1}",
["typ"] = "cislo" },
["tex"] = "8228",
["x"] = 8228 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{4}{8}} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{4}{8}} \\cdot -11 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{2\\frac{4}{8}} \\cdot -11 \\cdot 10 \\cdot 17",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.68, bodu=111, $$\frac{-7 \cdot 3\frac{5}{9} \cdot 12}{1\frac{3}{11} - (-17)}=\textcolor{white}{-16\frac{208}{603}}$$return {
["body"] = 111,
["id"] = "gkovGC_1107_1358",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -16.344941956882,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9856,
["jmenovatel"] = 603 },
["render"] = "\\frac{-9856}{603}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{208}{603}",
["x"] = -16,
["y"] = 208,
["z"] = 603 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} \\cdot 12",
["typ"] = "krat" },
["render"] = "-7 \\cdot 3\\frac{5}{9} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} - (-17)",
["typ"] = "minus" },
["render"] = "\\frac{-7 \\cdot 3\\frac{5}{9} \\cdot 12}{1\\frac{3}{11} - (-17)}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.69, bodu=141, $$\frac{14 \cdot \frac{2\frac{4}{13}}{3\frac{5}{10}}}{-9 + 1\frac{2}{10}}=\textcolor{white}{-1\frac{31}{169}}$$return {
["body"] = 141,
["id"] = "F9wLVo_1107_1358",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -1.1834319526627,
["objekt"] = {
["hodnota"] = {
["citatel"] = -200,
["jmenovatel"] = 169 },
["render"] = "\\frac{600}{-507}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{31}{169}",
["x"] = -1,
["y"] = 31,
["z"] = 169 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{13}}{3\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "14 \\cdot \\frac{2\\frac{4}{13}}{3\\frac{5}{10}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "\\frac{14 \\cdot \\frac{2\\frac{4}{13}}{3\\frac{5}{10}}}{-9 + 1\\frac{2}{10}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.7, bodu=147, $$\frac{-13}{-13 + (-15 \cdot (-5 + 1\frac{1}{6})^2 \cdot 2\frac{2}{5})}=\textcolor{white}{\frac{13}{542}}$$return {
["body"] = 147,
["id"] = "nmxKdY_1107_1358",
["obtiznost"] = 1.326,
["reseni"] = {
["float"] = 0.023985239852399,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 542 },
["render"] = "\\frac{-13}{-542}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{542}",
["y"] = 13,
["z"] = 542 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-5 + 1\\frac{1}{6}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 1\\frac{1}{6})^2",
["typ"] = "mocnina" },
["render"] = "-15 \\cdot (-5 + 1\\frac{1}{6})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot (-5 + 1\\frac{1}{6})^2 \\cdot 2\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "-13 + (-15 \\cdot (-5 + 1\\frac{1}{6})^2 \\cdot 2\\frac{2}{5})",
["typ"] = "plus" },
["render"] = "\\frac{-13}{-13 + (-15 \\cdot (-5 + 1\\frac{1}{6})^2 \\cdot 2\\frac{2}{5})}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.71, bodu=88, $$\frac{6}{\frac{3\frac{2}{8}}{-14} - (-20 - 15)}=\textcolor{white}{\frac{112}{649}}$$return {
["body"] = 88,
["id"] = "h7AD0c_1107_1358",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 0.17257318952234,
["objekt"] = {
["hodnota"] = {
["citatel"] = 112,
["jmenovatel"] = 649 },
["render"] = "\\frac{336}{1947}",
["typ"] = "cislo" },
["tex"] = "\\frac{112}{649}",
["y"] = 112,
["z"] = 649 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-20 - 15",
["typ"] = "minus" },
["render"] = "(-20 - 15)",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{2}{8}}{-14} - (-20 - 15)",
["typ"] = "minus" },
["render"] = "\\frac{6}{\\frac{3\\frac{2}{8}}{-14} - (-20 - 15)}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.72, bodu=32, $$11 \cdot 13 \cdot (8 - (-11)) \cdot 19=\textcolor{white}{51623}$$return {
["body"] = 32,
["id"] = "pd0XA2_1107_1358",
["obtiznost"] = 0.72,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 51623,
["jmenovatel"] = 1 },
["render"] = "\\frac{51623}{1}",
["typ"] = "cislo" },
["tex"] = "51623",
["tex_float"] = "51623",
["x"] = 51623 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 - (-11)",
["typ"] = "minus" },
["render"] = "(8 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "(8 - (-11)) \\cdot 19",
["typ"] = "krat" },
["render"] = "13 \\cdot (8 - (-11)) \\cdot 19",
["typ"] = "krat" },
["render"] = "11 \\cdot 13 \\cdot (8 - (-11)) \\cdot 19",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.73, bodu=148, $$\frac{-9}{15} - 2\frac{3}{9} - (-14 + 4\frac{4}{9} - 3\frac{3}{12})=\textcolor{white}{9\frac{157}{180}}$$return {
["body"] = 148,
["id"] = "5fptWt_1107_1358",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 9.8722222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1777,
["jmenovatel"] = 180 },
["render"] = "\\frac{5331}{540}",
["typ"] = "cislo" },
["tex"] = "9\\frac{157}{180}",
["x"] = 9,
["y"] = 157,
["z"] = 180 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15} - 2\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-14 + 4\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-14 + 4\\frac{4}{9} - 3\\frac{3}{12}",
["typ"] = "minus" },
["render"] = "(-14 + 4\\frac{4}{9} - 3\\frac{3}{12})",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{15} - 2\\frac{3}{9} - (-14 + 4\\frac{4}{9} - 3\\frac{3}{12})",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.74, bodu=129, $$3\frac{1}{7} - (-12) + 1\frac{1}{6} + 5 - 19 - (5 - 18)^2=\textcolor{white}{-166\frac{29}{42}}$$return {
["body"] = 129,
["id"] = "YK125i_1107_1358",
["obtiznost"] = 1.208,
["reseni"] = {
["float"] = -166.69047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7001,
["jmenovatel"] = 42 },
["render"] = "\\frac{-7001}{42}",
["typ"] = "cislo" },
["tex"] = "-166\\frac{29}{42}",
["x"] = -166,
["y"] = 29,
["z"] = 42 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + 5",
["typ"] = "plus" },
["render"] = "3\\frac{1}{7} - (-12) + 1\\frac{1}{6} + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - (-12) + 1\\frac{1}{6} + 5 - 19",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "5 - 18",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - 18)^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{7} - (-12) + 1\\frac{1}{6} + 5 - 19 - (5 - 18)^2",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.75, bodu=120, $$\frac{20 \cdot -9 + 18 + 3\frac{1}{7} - 16}{4\frac{3}{9}}=\textcolor{white}{-40\frac{32}{91}}$$return {
["body"] = 120,
["id"] = "s9Zpub_1107_1358",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -40.351648351648,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3672,
["jmenovatel"] = 91 },
["render"] = "\\frac{-3672}{91}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{32}{91}",
["x"] = -40,
["y"] = 32,
["z"] = 91 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "20 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - 16",
["typ"] = "minus" },
["render"] = "18 + 3\\frac{1}{7} - 16",
["typ"] = "plus" },
["render"] = "20 \\cdot -9 + 18 + 3\\frac{1}{7} - 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{20 \\cdot -9 + 18 + 3\\frac{1}{7} - 16}{4\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.76, bodu=94, $$\frac{12 - (-13)}{5 - (4\frac{1}{7} + \frac{-12}{11})}=\textcolor{white}{12\frac{5}{6}}$$return {
["body"] = 94,
["id"] = "t40R9u_1107_1358",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 12.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 6 },
["render"] = "\\frac{1925}{150}",
["typ"] = "cislo" },
["tex"] = "12\\frac{5}{6}",
["x"] = 12,
["y"] = 5,
["z"] = 6 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "12 - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{11}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{7} + \\frac{-12}{11}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{7} + \\frac{-12}{11})",
["typ"] = "zavorka" },
["render"] = "5 - (4\\frac{1}{7} + \\frac{-12}{11})",
["typ"] = "minus" },
["render"] = "\\frac{12 - (-13)}{5 - (4\\frac{1}{7} + \\frac{-12}{11})}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.77, bodu=188, $$-12 + 1\frac{3}{7} \cdot 1\frac{5}{6} - (\frac{4\frac{1}{8}}{3\frac{2}{8} + 5})^4=\textcolor{white}{-9\frac{149}{336}}$$return {
["body"] = 188,
["id"] = "Aif60H_1107_1358",
["obtiznost"] = 1.5768,
["reseni"] = {
["float"] = -9.4434523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3173,
["jmenovatel"] = 336 },
["render"] = "\\frac{-3173}{336}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{149}{336}",
["x"] = -9,
["y"] = 149,
["z"] = 336 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.77",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot 1\\frac{5}{6}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} + 5",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{1}{8}}{3\\frac{2}{8} + 5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{4\\frac{1}{8}}{3\\frac{2}{8} + 5})^4",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{7} \\cdot 1\\frac{5}{6} - (\\frac{4\\frac{1}{8}}{3\\frac{2}{8} + 5})^4",
["typ"] = "minus" },
["render"] = "-12 + 1\\frac{3}{7} \\cdot 1\\frac{5}{6} - (\\frac{4\\frac{1}{8}}{3\\frac{2}{8} + 5})^4",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.78, bodu=71, $$\frac{\frac{11}{-18} - (-15) - 18}{2 + (-12)}=\textcolor{white}{\frac{13}{36}}$$return {
["body"] = 71,
["id"] = "Wtyn3T_1107_1358",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 0.36111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 36 },
["render"] = "\\frac{-65}{-180}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{36}",
["y"] = 13,
["z"] = 36 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-18} - (-15)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-18} - (-15) - 18",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2 + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{11}{-18} - (-15) - 18}{2 + (-12)}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.79, bodu=190, $$\frac{4\frac{5}{8} - \frac{1\frac{3}{6}}{3\frac{1}{6}} \cdot 2\frac{2}{7}}{-6}=\textcolor{white}{-\frac{3769}{6384}}$$return {
["body"] = 190,
["id"] = "DjmOzc_1107_1358",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -0.59038220551378,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3769,
["jmenovatel"] = 6384 },
["render"] = "\\frac{3769}{-6384}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3769}{6384}",
["y"] = -3769,
["z"] = 6384 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{3\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{3\\frac{1}{6}} \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "4\\frac{5}{8} - \\frac{1\\frac{3}{6}}{3\\frac{1}{6}} \\cdot 2\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8} - \\frac{1\\frac{3}{6}}{3\\frac{1}{6}} \\cdot 2\\frac{2}{7}}{-6}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.8, bodu=192, $$\frac{\frac{4\frac{3}{7}}{\frac{-20}{2\frac{4}{9}} \cdot 3\frac{5}{9}}}{5 + 4\frac{4}{7}}=\textcolor{white}{-\frac{341}{21440}}$$return {
["body"] = 192,
["id"] = "y4U0k3_1107_1358",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = -0.015904850746269,
["objekt"] = {
["hodnota"] = {
["citatel"] = -341,
["jmenovatel"] = 21440 },
["render"] = "\\frac{-2387}{150080}",
["typ"] = "cislo" },
["tex"] = "-\\frac{341}{21440}",
["y"] = -341,
["z"] = 21440 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{2\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{2\\frac{4}{9}} \\cdot 3\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{7}}{\\frac{-20}{2\\frac{4}{9}} \\cdot 3\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "5 + 4\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4\\frac{3}{7}}{\\frac{-20}{2\\frac{4}{9}} \\cdot 3\\frac{5}{9}}}{5 + 4\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.81, bodu=101, $$15 - (-22) - \frac{-21 \cdot (-15 - 1\frac{5}{13})}{12}=\textcolor{white}{8\frac{17}{52}}$$return {
["body"] = 101,
["id"] = "a6qn4A_1107_1358",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 8.3269230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = 433,
["jmenovatel"] = 52 },
["render"] = "\\frac{433}{52}",
["typ"] = "cislo" },
["tex"] = "8\\frac{17}{52}",
["x"] = 8,
["y"] = 17,
["z"] = 52 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "15 - (-22)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-15 - 1\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "(-15 - 1\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "-21 \\cdot (-15 - 1\\frac{5}{13})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-21 \\cdot (-15 - 1\\frac{5}{13})}{12}",
["typ"] = "lomeno" },
["render"] = "15 - (-22) - \\frac{-21 \\cdot (-15 - 1\\frac{5}{13})}{12}",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.82, bodu=131, $$19 \cdot (13 - (4 - (-8) + 1\frac{4}{13} \cdot 3\frac{2}{9}))=\textcolor{white}{-61\frac{7}{117}}$$return {
["body"] = 131,
["id"] = "t2fnJM_1107_1358",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -61.059829059829,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7144,
["jmenovatel"] = 117 },
["render"] = "\\frac{-7144}{117}",
["typ"] = "cislo" },
["tex"] = "-61\\frac{7}{117}",
["x"] = -61,
["y"] = 7,
["z"] = 117 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4 - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{13} \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "4 - (-8) + 1\\frac{4}{13} \\cdot 3\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(4 - (-8) + 1\\frac{4}{13} \\cdot 3\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "13 - (4 - (-8) + 1\\frac{4}{13} \\cdot 3\\frac{2}{9})",
["typ"] = "minus" },
["render"] = "(13 - (4 - (-8) + 1\\frac{4}{13} \\cdot 3\\frac{2}{9}))",
["typ"] = "zavorka" },
["render"] = "19 \\cdot (13 - (4 - (-8) + 1\\frac{4}{13} \\cdot 3\\frac{2}{9}))",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.83, bodu=232, $$\frac{1\frac{4}{11}}{1\frac{4}{14} + 3\frac{4}{9}} \cdot (11 + (-18 - \frac{2\frac{5}{6}}{1\frac{2}{10}}))=\textcolor{white}{-2\frac{9161}{13112}}$$return {
["body"] = 232,
["id"] = "HZx9p7_1107_1358",
["obtiznost"] = 1.83,
["reseni"] = {
["float"] = -2.698672971324,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35385,
["jmenovatel"] = 13112 },
["render"] = "\\frac{-318465}{118008}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{9161}{13112}",
["x"] = -2,
["y"] = 9161,
["z"] = 13112 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{14} + 3\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{11}}{1\\frac{4}{14} + 3\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{6}}{1\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "-18 - \\frac{2\\frac{5}{6}}{1\\frac{2}{10}}",
["typ"] = "minus" },
["render"] = "11 + (-18 - \\frac{2\\frac{5}{6}}{1\\frac{2}{10}})",
["typ"] = "plus" },
["render"] = "(11 + (-18 - \\frac{2\\frac{5}{6}}{1\\frac{2}{10}}))",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{4}{11}}{1\\frac{4}{14} + 3\\frac{4}{9}} \\cdot (11 + (-18 - \\frac{2\\frac{5}{6}}{1\\frac{2}{10}}))",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.84, bodu=234, $$\frac{2\frac{1}{5}}{1\frac{5}{13}} + (-9) + 4\frac{5}{11} + 2\frac{1}{10} - (-11 + 13 + 4\frac{5}{8})=\textcolor{white}{-7\frac{1907}{3960}}$$return {
["body"] = 234,
["id"] = "idmoTc_1107_1358",
["obtiznost"] = 1.84,
["reseni"] = {
["float"] = -7.4815656565657,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29627,
["jmenovatel"] = 3960 },
["render"] = "\\frac{-296270}{39600}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1907}{3960}",
["x"] = -7,
["y"] = 1907,
["z"] = 3960 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{1\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{1\\frac{5}{13}} + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{1\\frac{5}{13}} + (-9) + 4\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "-11 + 13 + 4\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(-11 + 13 + 4\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{10} - (-11 + 13 + 4\\frac{5}{8})",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{5}}{1\\frac{5}{13}} + (-9) + 4\\frac{5}{11} + 2\\frac{1}{10} - (-11 + 13 + 4\\frac{5}{8})",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.85, bodu=186, $$20 + 2\frac{3}{6} - (3\frac{4}{9} + \frac{(1\frac{2}{4} - 10)^2}{21} - 14)=\textcolor{white}{29\frac{155}{252}}$$return {
["body"] = 186,
["id"] = "umcEKl_1107_1358",
["obtiznost"] = 1.5672,
["reseni"] = {
["float"] = 29.615079365079,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7463,
["jmenovatel"] = 252 },
["render"] = "\\frac{7463}{252}",
["typ"] = "cislo" },
["tex"] = "29\\frac{155}{252}",
["x"] = 29,
["y"] = 155,
["z"] = 252 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{4} - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{2}{4} - 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{2}{4} - 10)^2}{21}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{9} + \\frac{(1\\frac{2}{4} - 10)^2}{21}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} + \\frac{(1\\frac{2}{4} - 10)^2}{21} - 14",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{9} + \\frac{(1\\frac{2}{4} - 10)^2}{21} - 14)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} - (3\\frac{4}{9} + \\frac{(1\\frac{2}{4} - 10)^2}{21} - 14)",
["typ"] = "minus" },
["render"] = "20 + 2\\frac{3}{6} - (3\\frac{4}{9} + \\frac{(1\\frac{2}{4} - 10)^2}{21} - 14)",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.86, bodu=137, $$\frac{22}{\frac{\frac{3\frac{4}{8}}{3} \cdot -6}{3\frac{5}{11}}}=\textcolor{white}{-10\frac{6}{7}}$$return {
["body"] = 137,
["id"] = "NSwYQ5_1107_1358",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -10.857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -76,
["jmenovatel"] = 7 },
["render"] = "\\frac{836}{-77}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{6}{7}",
["x"] = -10,
["y"] = 6,
["z"] = 7 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.86",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{3} \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{4}{8}}{3} \\cdot -6}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{22}{\\frac{\\frac{3\\frac{4}{8}}{3} \\cdot -6}{3\\frac{5}{11}}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.87, bodu=109, $$\frac{20 + (-16)}{\frac{-21}{11} + 12 \cdot 4\frac{4}{14}}=\textcolor{white}{\frac{308}{3813}}$$return {
["body"] = 109,
["id"] = "5EF7tD_1107_1358",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.080776291633884,
["objekt"] = {
["hodnota"] = {
["citatel"] = 308,
["jmenovatel"] = 3813 },
["render"] = "\\frac{308}{3813}",
["typ"] = "cislo" },
["tex"] = "\\frac{308}{3813}",
["y"] = 308,
["z"] = 3813 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "20 + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 4\\frac{4}{14}",
["typ"] = "krat" },
["render"] = "\\frac{-21}{11} + 12 \\cdot 4\\frac{4}{14}",
["typ"] = "plus" },
["render"] = "\\frac{20 + (-16)}{\\frac{-21}{11} + 12 \\cdot 4\\frac{4}{14}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.88, bodu=142, $$\frac{11 \cdot 2\frac{5}{15}}{(-15 - (-9))^2 + 4\frac{2}{9} \cdot -19}=\textcolor{white}{-\frac{231}{398}}$$return {
["body"] = 142,
["id"] = "czIKjU_1107_1358",
["obtiznost"] = 1.2948,
["reseni"] = {
["float"] = -0.58040201005025,
["objekt"] = {
["hodnota"] = {
["citatel"] = -231,
["jmenovatel"] = 398 },
["render"] = "\\frac{693}{-1194}",
["typ"] = "cislo" },
["tex"] = "-\\frac{231}{398}",
["y"] = -231,
["z"] = 398 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 2\\frac{5}{15}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-15 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} \\cdot -19",
["typ"] = "krat" },
["render"] = "(-15 - (-9))^2 + 4\\frac{2}{9} \\cdot -19",
["typ"] = "plus" },
["render"] = "\\frac{11 \\cdot 2\\frac{5}{15}}{(-15 - (-9))^2 + 4\\frac{2}{9} \\cdot -19}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.89, bodu=142, $$16 \cdot 13 \cdot (-3 + 5)^2 + 2\frac{2}{6} - (4\frac{4}{11} + 12)=\textcolor{white}{817\frac{32}{33}}$$return {
["body"] = 142,
["id"] = "9uNIMC_1107_1358",
["obtiznost"] = 1.292,
["reseni"] = {
["float"] = 817.9696969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26993,
["jmenovatel"] = 33 },
["render"] = "\\frac{26993}{33}",
["typ"] = "cislo" },
["tex"] = "817\\frac{32}{33}",
["x"] = 817,
["y"] = 32,
["z"] = 33 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "16 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-3 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-3 + 5)^2",
["typ"] = "mocnina" },
["render"] = "16 \\cdot 13 \\cdot (-3 + 5)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 13 \\cdot (-3 + 5)^2 + 2\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} + 12",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{11} + 12)",
["typ"] = "zavorka" },
["render"] = "16 \\cdot 13 \\cdot (-3 + 5)^2 + 2\\frac{2}{6} - (4\\frac{4}{11} + 12)",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.9, bodu=209, $$\frac{\frac{\frac{3\frac{3}{11}}{3\frac{3}{11}}}{3} - 2\frac{5}{11}}{12 + 4\frac{4}{11}}=\textcolor{white}{-\frac{7}{54}}$$return {
["body"] = 209,
["id"] = "H9I5sq_1107_1358",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = -0.12962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 54 },
["render"] = "\\frac{-770}{5940}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{54}",
["y"] = -7,
["z"] = 54 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{11}}{3\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{3}{11}}{3\\frac{3}{11}}}{3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{3}{11}}{3\\frac{3}{11}}}{3} - 2\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{\\frac{3\\frac{3}{11}}{3\\frac{3}{11}}}{3} - 2\\frac{5}{11}}{12 + 4\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.91, bodu=163, $$\frac{\frac{(13 + 3\frac{3}{9} + (-7))^2}{-20}}{-12 \cdot 5}=\textcolor{white}{\frac{49}{675}}$$return {
["body"] = 163,
["id"] = "WdjHgJ_1107_1358",
["obtiznost"] = 1.4272,
["reseni"] = {
["float"] = 0.072592592592593,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 675 },
["render"] = "\\frac{-196}{-2700}",
["typ"] = "cislo" },
["tex"] = "\\frac{49}{675}",
["y"] = 49,
["z"] = 675 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "13 + 3\\frac{3}{9} + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + 3\\frac{3}{9} + (-7))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{(13 + 3\\frac{3}{9} + (-7))^2}{-20}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{(13 + 3\\frac{3}{9} + (-7))^2}{-20}}{-12 \\cdot 5}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.92, bodu=249, $$\frac{4\frac{3}{10}}{4\frac{3}{9}} - (\frac{3\frac{5}{12}}{10} - 3\frac{2}{4}) - 2\frac{5}{11}=\textcolor{white}{1\frac{2389}{3432}}$$return {
["body"] = 249,
["id"] = "xov0Xj_1107_1358",
["obtiznost"] = 1.92,
["reseni"] = {
["float"] = 1.6960955710956,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5821,
["jmenovatel"] = 3432 },
["render"] = "\\frac{5821}{3432}",
["typ"] = "cislo" },
["tex"] = "1\\frac{2389}{3432}",
["x"] = 1,
["y"] = 2389,
["z"] = 3432 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10}}{4\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{12}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{12}}{10} - 3\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{5}{12}}{10} - 3\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{3}{10}}{4\\frac{3}{9}} - (\\frac{3\\frac{5}{12}}{10} - 3\\frac{2}{4})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10}}{4\\frac{3}{9}} - (\\frac{3\\frac{5}{12}}{10} - 3\\frac{2}{4}) - 2\\frac{5}{11}",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.93, bodu=180, $$\frac{2\frac{1}{10}}{1\frac{4}{8}} - (18 + 1\frac{4}{7}) - (-12 \cdot -4)=\textcolor{white}{-66\frac{6}{35}}$$return {
["body"] = 180,
["id"] = "2OfOEv_1107_1358",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -66.171428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2316,
["jmenovatel"] = 35 },
["render"] = "\\frac{-2316}{35}",
["typ"] = "cislo" },
["tex"] = "-66\\frac{6}{35}",
["x"] = -66,
["y"] = 6,
["z"] = 35 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{10}}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "18 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(18 + 1\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{1}{10}}{1\\frac{4}{8}} - (18 + 1\\frac{4}{7})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -4",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{1}{10}}{1\\frac{4}{8}} - (18 + 1\\frac{4}{7}) - (-12 \\cdot -4)",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.94, bodu=253, $$(1\frac{1}{7} + 1\frac{3}{8}) \cdot 14 + 1\frac{4}{7} + (-18 + 4\frac{1}{4} \cdot 2\frac{1}{4})=\textcolor{white}{28\frac{43}{112}}$$return {
["body"] = 253,
["id"] = "EfxHXS_1107_1358",
["obtiznost"] = 1.94,
["reseni"] = {
["float"] = 28.383928571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3179,
["jmenovatel"] = 112 },
["render"] = "\\frac{12716}{448}",
["typ"] = "cislo" },
["tex"] = "28\\frac{43}{112}",
["x"] = 28,
["y"] = 43,
["z"] = 112 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{7} + 1\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{7} + 1\\frac{3}{8}) \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot 2\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "-18 + 4\\frac{1}{4} \\cdot 2\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "1\\frac{4}{7} + (-18 + 4\\frac{1}{4} \\cdot 2\\frac{1}{4})",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{7} + 1\\frac{3}{8}) \\cdot 14 + 1\\frac{4}{7} + (-18 + 4\\frac{1}{4} \\cdot 2\\frac{1}{4})",
["typ"] = "plus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.95, bodu=218, $$2\frac{5}{13} \cdot ((17 - 3\frac{5}{12}) \cdot 3\frac{3}{7} - \frac{-13}{2\frac{1}{8}})=\textcolor{white}{125\frac{995}{1547}}$$return {
["body"] = 218,
["id"] = "CGNLZm_1107_1358",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 125.64318034906,
["objekt"] = {
["hodnota"] = {
["citatel"] = 194370,
["jmenovatel"] = 1547 },
["render"] = "\\frac{194370}{1547}",
["typ"] = "cislo" },
["tex"] = "125\\frac{995}{1547}",
["x"] = 125,
["y"] = 995,
["z"] = 1547 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "17 - 3\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(17 - 3\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(17 - 3\\frac{5}{12}) \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "(17 - 3\\frac{5}{12}) \\cdot 3\\frac{3}{7} - \\frac{-13}{2\\frac{1}{8}}",
["typ"] = "minus" },
["render"] = "((17 - 3\\frac{5}{12}) \\cdot 3\\frac{3}{7} - \\frac{-13}{2\\frac{1}{8}})",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{13} \\cdot ((17 - 3\\frac{5}{12}) \\cdot 3\\frac{3}{7} - \\frac{-13}{2\\frac{1}{8}})",
["typ"] = "krat" } }
seed: AorZsPDPU2ipTD0DMTgH_0.96, bodu=220, $$\frac{13}{\frac{4\frac{1}{10}}{1\frac{5}{12}}} - \frac{2\frac{1}{11}}{3\frac{5}{9} - 12}=\textcolor{white}{4\frac{76039}{102828}}$$return {
["body"] = 220,
["id"] = "RIW9Z2_1107_1358",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = 4.7394775742016,
["objekt"] = {
["hodnota"] = {
["citatel"] = 487351,
["jmenovatel"] = 102828 },
["render"] = "\\frac{974702}{205656}",
["typ"] = "cislo" },
["tex"] = "4\\frac{76039}{102828}",
["x"] = 4,
["y"] = 76039,
["z"] = 102828 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{10}}{1\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{\\frac{4\\frac{1}{10}}{1\\frac{5}{12}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - 12",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{11}}{3\\frac{5}{9} - 12}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{\\frac{4\\frac{1}{10}}{1\\frac{5}{12}}} - \\frac{2\\frac{1}{11}}{3\\frac{5}{9} - 12}",
["typ"] = "minus" } }
seed: AorZsPDPU2ipTD0DMTgH_0.97, bodu=187, $$\frac{\frac{22}{24} - (-14 + \frac{1\frac{5}{6}}{2\frac{3}{12}} + 1\frac{3}{10})}{14}=\textcolor{white}{\frac{6913}{7560}}$$return {
["body"] = 187,
["id"] = "Ahwj6w_1107_1358",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 0.91441798941799,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6913,
["jmenovatel"] = 7560 },
["render"] = "\\frac{6913}{7560}",
["typ"] = "cislo" },
["tex"] = "\\frac{6913}{7560}",
["y"] = 6913,
["z"] = 7560 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["render"] = "\\frac{22}{24}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{6}}{2\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "-14 + \\frac{1\\frac{5}{6}}{2\\frac{3}{12}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-14 + \\frac{1\\frac{5}{6}}{2\\frac{3}{12}} + 1\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(-14 + \\frac{1\\frac{5}{6}}{2\\frac{3}{12}} + 1\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{22}{24} - (-14 + \\frac{1\\frac{5}{6}}{2\\frac{3}{12}} + 1\\frac{3}{10})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{22}{24} - (-14 + \\frac{1\\frac{5}{6}}{2\\frac{3}{12}} + 1\\frac{3}{10})}{14}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.98, bodu=155, $$\frac{3\frac{3}{10} \cdot 15 - \frac{11}{4}}{\frac{9}{3\frac{4}{12}}}=\textcolor{white}{17\frac{17}{54}}$$return {
["body"] = 155,
["id"] = "ov7Co1_1107_1358",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 17.314814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 935,
["jmenovatel"] = 54 },
["render"] = "\\frac{1870}{108}",
["typ"] = "cislo" },
["tex"] = "17\\frac{17}{54}",
["x"] = 17,
["y"] = 17,
["z"] = 54 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{10} \\cdot 15 - \\frac{11}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{10} \\cdot 15 - \\frac{11}{4}}{\\frac{9}{3\\frac{4}{12}}}",
["typ"] = "lomeno" } }
seed: AorZsPDPU2ipTD0DMTgH_0.99, bodu=177, $$12 \cdot (1\frac{5}{11} + (9 - 21 + 10 \cdot 1\frac{5}{8})^2 + (-16))=\textcolor{white}{42\frac{9}{44}}$$return {
["body"] = 177,
["id"] = "Tmn1Bs_1107_1358",
["obtiznost"] = 1.512,
["reseni"] = {
["float"] = 42.204545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1857,
["jmenovatel"] = 44 },
["render"] = "\\frac{7428}{176}",
["typ"] = "cislo" },
["tex"] = "42\\frac{9}{44}",
["x"] = 42,
["y"] = 9,
["z"] = 44 },
["seed"] = "AorZsPDPU2ipTD0DMTgH_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "9 - 21",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "9 - 21 + 10 \\cdot 1\\frac{5}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 - 21 + 10 \\cdot 1\\frac{5}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(9 - 21 + 10 \\cdot 1\\frac{5}{8})^2 + (-16)",
["typ"] = "plus" },
["render"] = "1\\frac{5}{11} + (9 - 21 + 10 \\cdot 1\\frac{5}{8})^2 + (-16)",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{11} + (9 - 21 + 10 \\cdot 1\\frac{5}{8})^2 + (-16))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (1\\frac{5}{11} + (9 - 21 + 10 \\cdot 1\\frac{5}{8})^2 + (-16))",
["typ"] = "krat" } }
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