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Nahodny test, priklady s rostouci obtiznosti...

seed: 5zPYOybjvIRFVyH2PXWH_0, bodu=5, $$4 \cdot 8 \cdot 9=\textcolor{white}{288}$$return { ["body"] = 5, ["id"] = "VPK2rM_0120_0438", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 288, ["jmenovatel"] = 1 }, ["render"] = "\\frac{288}{1}", ["typ"] = "cislo" }, ["tex"] = "288", ["x"] = 288 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 9", ["typ"] = "krat" }, ["render"] = "4 \\cdot 8 \\cdot 9", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.01, bodu=17, $$\frac{(-6 \cdot 4 + 3)^2}{6}=\textcolor{white}{73{,}5}$$return { ["body"] = 17, ["id"] = "gteY4K_0120_0438", ["obtiznost"] = 0.1868, ["reseni"] = { ["float"] = 73.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 147, ["jmenovatel"] = 2 }, ["render"] = "\\frac{441}{6}", ["typ"] = "cislo" }, ["tex"] = "73\\frac{1}{2}", ["tex_float"] = "73{,}5", ["x"] = 73, ["y"] = 1, ["z"] = 2 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.01", ["zadani"] = { ["c1"] = { ["c"] = { ["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"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 4 + 3", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-6 \\cdot 4 + 3)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{(-6 \\cdot 4 + 3)^2}{6}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.02, bodu=13, $$\frac{3}{(5 - 11)^3 \cdot 10}=\textcolor{white}{-\frac{1}{720}}$$return { ["body"] = 13, ["id"] = "xsoRHv_0120_0438", ["obtiznost"] = 0.1068, ["reseni"] = { ["float"] = -0.0013888888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 720 }, ["render"] = "\\frac{3}{-2160}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{720}", ["y"] = -1, ["z"] = 720 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.02", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "5 - 11", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(5 - 11)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(5 - 11)^3 \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{3}{(5 - 11)^3 \\cdot 10}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.03, bodu=10, $$6 + 7 - \frac{-10}{7}=\textcolor{white}{14\frac{3}{7}}$$return { ["body"] = 10, ["id"] = "XnwOuK_0120_0438", ["obtiznost"] = 0.03, ["reseni"] = { ["float"] = 14.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 101, ["jmenovatel"] = 7 }, ["render"] = "\\frac{101}{7}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{3}{7}", ["x"] = 14, ["y"] = 3, ["z"] = 7 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.03", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 + 7", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{7}", ["typ"] = "lomeno" }, ["render"] = "6 + 7 - \\frac{-10}{7}", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.04, bodu=10, $$\frac{6}{6 - 6 - 5}=\textcolor{white}{-1{,}2}$$return { ["body"] = 10, ["id"] = "1iOsPy_0120_0438", ["obtiznost"] = 0.04, ["reseni"] = { ["float"] = -1.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 5 }, ["render"] = "\\frac{6}{-5}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{1}{5}", ["tex_float"] = "-1{,}2", ["x"] = -1, ["y"] = 1, ["z"] = 5 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "6 - 6 - 5", ["typ"] = "minus" }, ["render"] = "\\frac{6}{6 - 6 - 5}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.05, bodu=7, $$((9 - 10) \cdot 4 \cdot 4)^2=\textcolor{white}{256}$$return { ["body"] = 7, ["id"] = "sYp8TG_0120_0438", ["obtiznost"] = 0.1528, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 256, ["jmenovatel"] = 1 }, ["render"] = "\\frac{256}{1}", ["typ"] = "cislo" }, ["tex"] = "256", ["tex_float"] = "256", ["x"] = 256 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.05", ["zadani"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "9 - 10", ["typ"] = "minus" }, ["render"] = "(9 - 10)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 4", ["typ"] = "krat" }, ["render"] = "(9 - 10) \\cdot 4 \\cdot 4", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "((9 - 10) \\cdot 4 \\cdot 4)^2", ["typ"] = "mocnina" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.06, bodu=21, $$\frac{-2}{1\frac{5}{6} \cdot 9}=\textcolor{white}{-\frac{4}{33}}$$return { ["body"] = 21, ["id"] = "vMc05N_0120_0438", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = -0.12121212121212, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 33 }, ["render"] = "\\frac{-4}{33}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{4}{33}", ["y"] = -4, ["z"] = 33 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.06", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{6} \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{-2}{1\\frac{5}{6} \\cdot 9}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.07, bodu=11, $$\frac{5 \cdot 8}{7}=\textcolor{white}{5\frac{5}{7}}$$return { ["body"] = 11, ["id"] = "IoHM22_0120_0438", ["obtiznost"] = 0.07, ["reseni"] = { ["float"] = 5.7142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 7 }, ["render"] = "\\frac{40}{7}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{5}{7}", ["x"] = 5, ["y"] = 5, ["z"] = 7 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.07", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{5 \\cdot 8}{7}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.08, bodu=6, $$7 \cdot 7 \cdot 7=\textcolor{white}{343}$$return { ["body"] = 6, ["id"] = "HKOlYk_0120_0438", ["obtiznost"] = 0.08, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 343, ["jmenovatel"] = 1 }, ["render"] = "\\frac{343}{1}", ["typ"] = "cislo" }, ["tex"] = "343", ["tex_float"] = "343", ["x"] = 343 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 7", ["typ"] = "krat" }, ["render"] = "7 \\cdot 7 \\cdot 7", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.09, bodu=6, $$8 - (7 - 7) + 9=\textcolor{white}{17}$$return { ["body"] = 6, ["id"] = "fNWmO4_0120_0438", ["obtiznost"] = 0.09, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "\\frac{17}{1}", ["typ"] = "cislo" }, ["tex"] = "17", ["x"] = 17 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.09", ["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"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 - 7", ["typ"] = "minus" }, ["render"] = "(7 - 7)", ["typ"] = "zavorka" }, ["render"] = "8 - (7 - 7)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 - (7 - 7) + 9", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.1, bodu=12, $$\frac{11 + 8}{3} \cdot 5=\textcolor{white}{31\frac{2}{3}}$$return { ["body"] = 12, ["id"] = "ZXOwLl_0120_0438", ["obtiznost"] = 0.1, ["reseni"] = { ["float"] = 31.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 95, ["jmenovatel"] = 3 }, ["render"] = "\\frac{95}{3}", ["typ"] = "cislo" }, ["tex"] = "31\\frac{2}{3}", ["x"] = 31, ["y"] = 2, ["z"] = 3 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "11 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{11 + 8}{3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{11 + 8}{3} \\cdot 5", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.11, bodu=13, $$6 \cdot \frac{6}{7}=\textcolor{white}{5\frac{1}{7}}$$return { ["body"] = 13, ["id"] = "NmxFTi_0120_0438", ["obtiznost"] = 0.11, ["reseni"] = { ["float"] = 5.1428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 7 }, ["render"] = "\\frac{36}{7}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{7}", ["x"] = 5, ["y"] = 1, ["z"] = 7 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.11", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{7}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot \\frac{6}{7}", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.12, bodu=6, $$9 - (8 - (-7 - 9))=\textcolor{white}{-15}$$return { ["body"] = 6, ["id"] = "R3uKJl_0120_0438", ["obtiznost"] = 0.12, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-15}{1}", ["typ"] = "cislo" }, ["tex"] = "-15", ["tex_float"] = "-15", ["x"] = -15 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.12", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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"] = "minus" }, ["render"] = "(-7 - 9)", ["typ"] = "zavorka" }, ["render"] = "8 - (-7 - 9)", ["typ"] = "minus" }, ["render"] = "(8 - (-7 - 9))", ["typ"] = "zavorka" }, ["render"] = "9 - (8 - (-7 - 9))", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.13, bodu=17, $$5 + (\frac{11}{-7})^2 + 11=\textcolor{white}{18\frac{23}{49}}$$return { ["body"] = 17, ["id"] = "CCIurq_0120_0438", ["obtiznost"] = 0.198, ["reseni"] = { ["float"] = 18.469387755102, ["objekt"] = { ["hodnota"] = { ["citatel"] = 905, ["jmenovatel"] = 49 }, ["render"] = "\\frac{905}{49}", ["typ"] = "cislo" }, ["tex"] = "18\\frac{23}{49}", ["x"] = 18, ["y"] = 23, ["z"] = 49 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.13", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-7}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{11}{-7})^2", ["typ"] = "mocnina" }, ["render"] = "5 + (\\frac{11}{-7})^2", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "5 + (\\frac{11}{-7})^2 + 11", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.14, bodu=27, $$12 - 3\frac{1}{6} + (-3 - (-10))=\textcolor{white}{15\frac{5}{6}}$$return { ["body"] = 27, ["id"] = "zp8wff_0120_0438", ["obtiznost"] = 0.34, ["reseni"] = { ["float"] = 15.833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 95, ["jmenovatel"] = 6 }, ["render"] = "\\frac{95}{6}", ["typ"] = "cislo" }, ["tex"] = "15\\frac{5}{6}", ["x"] = 15, ["y"] = 5, ["z"] = 6 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.14", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "12 - 3\\frac{1}{6}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-3 - (-10)", ["typ"] = "minus" }, ["render"] = "12 - 3\\frac{1}{6} + (-3 - (-10))", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.15, bodu=15, $$\frac{9}{4} \cdot (4 + 5)=\textcolor{white}{20{,}25}$$return { ["body"] = 15, ["id"] = "EKS3Fm_0120_0438", ["obtiznost"] = 0.15, ["reseni"] = { ["float"] = 20.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 4 }, ["render"] = "\\frac{81}{4}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{1}{4}", ["tex_float"] = "20{,}25", ["x"] = 20, ["y"] = 1, ["z"] = 4 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{4}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "4 + 5", ["typ"] = "plus" }, ["render"] = "(4 + 5)", ["typ"] = "zavorka" }, ["render"] = "\\frac{9}{4} \\cdot (4 + 5)", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.16, bodu=7, $$3 \cdot (9 + 3 + 12)=\textcolor{white}{72}$$return { ["body"] = 7, ["id"] = "fuskDf_0120_0438", ["obtiznost"] = 0.16, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 72, ["jmenovatel"] = 1 }, ["render"] = "\\frac{72}{1}", ["typ"] = "cislo" }, ["tex"] = "72", ["tex_float"] = "72", ["x"] = 72 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "9 + 3 + 12", ["typ"] = "plus" }, ["render"] = "(9 + 3 + 12)", ["typ"] = "zavorka" }, ["render"] = "3 \\cdot (9 + 3 + 12)", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.17, bodu=16, $$7 \cdot (\frac{-13}{6} + 10)=\textcolor{white}{54\frac{5}{6}}$$return { ["body"] = 16, ["id"] = "kEmAPq_0120_0438", ["obtiznost"] = 0.17, ["reseni"] = { ["float"] = 54.833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 329, ["jmenovatel"] = 6 }, ["render"] = "\\frac{329}{6}", ["typ"] = "cislo" }, ["tex"] = "54\\frac{5}{6}", ["x"] = 54, ["y"] = 5, ["z"] = 6 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.17", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{6} + 10", ["typ"] = "plus" }, ["render"] = "(\\frac{-13}{6} + 10)", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (\\frac{-13}{6} + 10)", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.18, bodu=8, $$9 - (-7) - (-5 - 10)=\textcolor{white}{31}$$return { ["body"] = 8, ["id"] = "UJ1JZB_0120_0438", ["obtiznost"] = 0.18, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 1 }, ["render"] = "\\frac{31}{1}", ["typ"] = "cislo" }, ["tex"] = "31", ["x"] = 31 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.18", ["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"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-5 - 10", ["typ"] = "minus" }, ["render"] = "(-5 - 10)", ["typ"] = "zavorka" }, ["render"] = "9 - (-7) - (-5 - 10)", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.19, bodu=31, $$7 + 1\frac{1}{4} \cdot 8 - 3=\textcolor{white}{14}$$return { ["body"] = 31, ["id"] = "J7AuWP_0120_0438", ["obtiznost"] = 0.39, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "\\frac{14}{1}", ["typ"] = "cislo" }, ["tex"] = "14", ["tex_float"] = "14", ["x"] = 14 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} \\cdot 8 - 3", ["typ"] = "minus" }, ["render"] = "7 + 1\\frac{1}{4} \\cdot 8 - 3", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.2, bodu=32, $$\frac{11 + 5}{2\frac{4}{9} \cdot 9}=\textcolor{white}{\frac{8}{11}}$$return { ["body"] = 32, ["id"] = "yLlQnm_0120_0438", ["obtiznost"] = 0.4, ["reseni"] = { ["float"] = 0.72727272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 11 }, ["render"] = "\\frac{16}{22}", ["typ"] = "cislo" }, ["tex"] = "\\frac{8}{11}", ["y"] = 8, ["z"] = 11 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.2", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "11 + 5", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{11 + 5}{2\\frac{4}{9} \\cdot 9}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.21, bodu=9, $$-8 \cdot (6 + (-11) - 10 + 5)=\textcolor{white}{80}$$return { ["body"] = 9, ["id"] = "xqK1Ie_0120_0438", ["obtiznost"] = 0.21, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 80, ["jmenovatel"] = 1 }, ["render"] = "\\frac{80}{1}", ["typ"] = "cislo" }, ["tex"] = "80", ["tex_float"] = "80", ["x"] = 80 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.21", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "6 + (-11)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "6 + (-11) - 10", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "6 + (-11) - 10 + 5", ["typ"] = "plus" }, ["render"] = "(6 + (-11) - 10 + 5)", ["typ"] = "zavorka" }, ["render"] = "-8 \\cdot (6 + (-11) - 10 + 5)", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.22, bodu=19, $$\frac{11 + (-6)}{(\frac{6}{3})^3 + 8}=\textcolor{white}{\frac{5}{16}}$$return { ["body"] = 19, ["id"] = "oNvVdp_0120_0438", ["obtiznost"] = 0.2236, ["reseni"] = { ["float"] = 0.3125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 16 }, ["render"] = "\\frac{5}{16}", ["typ"] = "cislo" }, ["tex"] = "\\frac{5}{16}", ["y"] = 5, ["z"] = 16 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "11 + (-6)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{3}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{6}{3})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(\\frac{6}{3})^3 + 8", ["typ"] = "plus" }, ["render"] = "\\frac{11 + (-6)}{(\\frac{6}{3})^3 + 8}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.23, bodu=9, $$(9 - 4 - 7) \cdot 8=\textcolor{white}{-16}$$return { ["body"] = 9, ["id"] = "kVOMNO_0120_0438", ["obtiznost"] = 0.23, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-16}{1}", ["typ"] = "cislo" }, ["tex"] = "-16", ["tex_float"] = "-16", ["x"] = -16 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.23", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "9 - 4", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "9 - 4 - 7", ["typ"] = "minus" }, ["render"] = "(9 - 4 - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(9 - 4 - 7) \\cdot 8", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.24, bodu=10, $$5 \cdot (9 + 8) \cdot 5=\textcolor{white}{425}$$return { ["body"] = 10, ["id"] = "79sycC_0120_0438", ["obtiznost"] = 0.24, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 425, ["jmenovatel"] = 1 }, ["render"] = "\\frac{425}{1}", ["typ"] = "cislo" }, ["tex"] = "425", ["x"] = 425 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.24", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + 8", ["typ"] = "plus" }, ["render"] = "(9 + 8)", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot (9 + 8)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "5 \\cdot (9 + 8) \\cdot 5", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.25, bodu=10, $$-8 \cdot 10 \cdot 9 \cdot 9=\textcolor{white}{-6480}$$return { ["body"] = 10, ["id"] = "2ZhqcO_0120_0438", ["obtiznost"] = 0.25, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -6480, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-6480}{1}", ["typ"] = "cislo" }, ["tex"] = "-6480", ["x"] = -6480 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 9", ["typ"] = "krat" }, ["render"] = "-8 \\cdot 10 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 10 \\cdot 9 \\cdot 9", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.26, bodu=81, $$4\frac{1}{2} + \frac{\frac{3\frac{3}{6}}{5}}{3\frac{1}{7}}=\textcolor{white}{4\frac{159}{220}}$$return { ["body"] = 81, ["id"] = "kU89QE_0120_0438", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = 4.7227272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1039, ["jmenovatel"] = 220 }, ["render"] = "\\frac{2078}{440}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{159}{220}", ["x"] = 4, ["y"] = 159, ["z"] = 220 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{6}}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{3}{6}}{5}}{3\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{1}{2} + \\frac{\\frac{3\\frac{3}{6}}{5}}{3\\frac{1}{7}}", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.27, bodu=38, $$\frac{8}{2\frac{2}{6}} + 6 \cdot 6=\textcolor{white}{39\frac{3}{7}}$$return { ["body"] = 38, ["id"] = "aPwKZ8_0120_0438", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = 39.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 276, ["jmenovatel"] = 7 }, ["render"] = "\\frac{276}{7}", ["typ"] = "cislo" }, ["tex"] = "39\\frac{3}{7}", ["x"] = 39, ["y"] = 3, ["z"] = 7 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.27", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{2\\frac{2}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{8}{2\\frac{2}{6}} + 6 \\cdot 6", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.28, bodu=58, $$(1\frac{4}{8} - 12)^2 - (-11 \cdot 15)=\textcolor{white}{275{,}25}$$return { ["body"] = 58, ["id"] = "N3o8pq_0120_0438", ["obtiznost"] = 0.658, ["reseni"] = { ["float"] = 275.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1101, ["jmenovatel"] = 4 }, ["render"] = "\\frac{1101}{4}", ["typ"] = "cislo" }, ["tex"] = "275\\frac{1}{4}", ["tex_float"] = "275{,}25", ["x"] = 275, ["y"] = 1, ["z"] = 4 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.28", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{8} - 12", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{4}{8} - 12)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 15", ["typ"] = "krat" }, ["render"] = "(1\\frac{4}{8} - 12)^2 - (-11 \\cdot 15)", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.29, bodu=26, $$\frac{(\frac{-6}{8})^3}{-8 \cdot 6}=\textcolor{white}{\frac{9}{1024}}$$return { ["body"] = 26, ["id"] = "MYCx1C_0120_0438", ["obtiznost"] = 0.3264, ["reseni"] = { ["float"] = 0.0087890625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1024 }, ["render"] = "\\frac{-27}{-3072}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{1024}", ["y"] = 9, ["z"] = 1024 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.29", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-6}{8})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{(\\frac{-6}{8})^3}{-8 \\cdot 6}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.3, bodu=41, $$\frac{5}{-5} \cdot (-7 + 4\frac{3}{5})=\textcolor{white}{2{,}4}$$return { ["body"] = 41, ["id"] = "4hu7Rz_0120_0438", ["obtiznost"] = 0.5, ["reseni"] = { ["float"] = 2.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "\\frac{12}{5}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{2}{5}", ["tex_float"] = "2{,}4", ["x"] = 2, ["y"] = 2, ["z"] = 5 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.3", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{-5}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "-7 + 4\\frac{3}{5}", ["typ"] = "plus" }, ["render"] = "(-7 + 4\\frac{3}{5})", ["typ"] = "zavorka" }, ["render"] = "\\frac{5}{-5} \\cdot (-7 + 4\\frac{3}{5})", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.31, bodu=12, $$(-8 + 8 + 14) \cdot (-10 - 4)=\textcolor{white}{-196}$$return { ["body"] = 12, ["id"] = "SJHu8F_0120_0438", ["obtiznost"] = 0.31, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -196, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-196}{1}", ["typ"] = "cislo" }, ["tex"] = "-196", ["x"] = -196 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.31", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "8 + 14", ["typ"] = "plus" }, ["render"] = "-8 + 8 + 14", ["typ"] = "plus" }, ["render"] = "(-8 + 8 + 14)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-10 - 4", ["typ"] = "minus" }, ["render"] = "(-10 - 4)", ["typ"] = "zavorka" }, ["render"] = "(-8 + 8 + 14) \\cdot (-10 - 4)", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.32, bodu=89, $$\frac{4\frac{1}{6}}{6} \cdot (4\frac{5}{7} - (-13 + 2\frac{5}{8}))=\textcolor{white}{10\frac{965}{2016}}$$return { ["body"] = 89, ["id"] = "LpZ6Rb_0120_0438", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = 10.478670634921, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21125, ["jmenovatel"] = 2016 }, ["render"] = "\\frac{21125}{2016}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{965}{2016}", ["x"] = 10, ["y"] = 965, ["z"] = 2016 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{6}}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "-13 + 2\\frac{5}{8}", ["typ"] = "plus" }, ["render"] = "(-13 + 2\\frac{5}{8})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{5}{7} - (-13 + 2\\frac{5}{8})", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{7} - (-13 + 2\\frac{5}{8}))", ["typ"] = "zavorka" }, ["render"] = "\\frac{4\\frac{1}{6}}{6} \\cdot (4\\frac{5}{7} - (-13 + 2\\frac{5}{8}))", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.33, bodu=66, $$4\frac{3}{5} \cdot 10 - 13 \cdot 1\frac{4}{9}=\textcolor{white}{27\frac{2}{9}}$$return { ["body"] = 66, ["id"] = "WO6joq_0120_0438", ["obtiznost"] = 0.73, ["reseni"] = { ["float"] = 27.222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 245, ["jmenovatel"] = 9 }, ["render"] = "\\frac{245}{9}", ["typ"] = "cislo" }, ["tex"] = "27\\frac{2}{9}", ["x"] = 27, ["y"] = 2, ["z"] = 9 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{5} \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "13 \\cdot 1\\frac{4}{9}", ["typ"] = "krat" }, ["render"] = "4\\frac{3}{5} \\cdot 10 - 13 \\cdot 1\\frac{4}{9}", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.34, bodu=27, $$\frac{-9 - (-11)}{10 - 8}=\textcolor{white}{1}$$return { ["body"] = 27, ["id"] = "jzfugv_0120_0438", ["obtiznost"] = 0.34, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2}{2}", ["typ"] = "cislo" }, ["tex"] = "1", ["tex_float"] = "1", ["x"] = 1 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-9 - (-11)", ["typ"] = "minus" }, ["c2"] = { ["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"] = "\\frac{-9 - (-11)}{10 - 8}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.35, bodu=28, $$13 - (\frac{-3}{11} - 14)=\textcolor{white}{27\frac{3}{11}}$$return { ["body"] = 28, ["id"] = "EJDsIB_0120_0438", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = 27.272727272727, ["objekt"] = { ["hodnota"] = { ["citatel"] = 300, ["jmenovatel"] = 11 }, ["render"] = "\\frac{300}{11}", ["typ"] = "cislo" }, ["tex"] = "27\\frac{3}{11}", ["x"] = 27, ["y"] = 3, ["z"] = 11 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{-3}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-3}{11} - 14", ["typ"] = "minus" }, ["render"] = "(\\frac{-3}{11} - 14)", ["typ"] = "zavorka" }, ["render"] = "13 - (\\frac{-3}{11} - 14)", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.36, bodu=14, $$13 \cdot (-8 - (5 + 16)) + 5=\textcolor{white}{-372}$$return { ["body"] = 14, ["id"] = "H1mBYA_0120_0438", ["obtiznost"] = 0.36, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -372, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-372}{1}", ["typ"] = "cislo" }, ["tex"] = "-372", ["tex_float"] = "-372", ["x"] = -372 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "5 + 16", ["typ"] = "plus" }, ["render"] = "(5 + 16)", ["typ"] = "zavorka" }, ["render"] = "-8 - (5 + 16)", ["typ"] = "minus" }, ["render"] = "(-8 - (5 + 16))", ["typ"] = "zavorka" }, ["render"] = "13 \\cdot (-8 - (5 + 16))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "13 \\cdot (-8 - (5 + 16)) + 5", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.37, bodu=89, $$(\frac{-10}{2\frac{5}{10} \cdot 5})^4 - (-16)=\textcolor{white}{16\frac{256}{625}}$$return { ["body"] = 89, ["id"] = "9tgF13_0120_0438", ["obtiznost"] = 0.9224, ["reseni"] = { ["float"] = 16.4096, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10256, ["jmenovatel"] = 625 }, ["render"] = "\\frac{10256}{625}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{256}{625}", ["x"] = 16, ["y"] = 256, ["z"] = 625 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.37", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} \\cdot 5", ["typ"] = "krat" }, ["render"] = "\\frac{-10}{2\\frac{5}{10} \\cdot 5}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-10}{2\\frac{5}{10} \\cdot 5})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "(\\frac{-10}{2\\frac{5}{10} \\cdot 5})^4 - (-16)", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.38, bodu=49, $$4 \cdot (11 - (6 - 4\frac{5}{6}))=\textcolor{white}{39\frac{1}{3}}$$return { ["body"] = 49, ["id"] = "LSBkyi_0120_0438", ["obtiznost"] = 0.58, ["reseni"] = { ["float"] = 39.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 118, ["jmenovatel"] = 3 }, ["render"] = "\\frac{236}{6}", ["typ"] = "cislo" }, ["tex"] = "39\\frac{1}{3}", ["x"] = 39, ["y"] = 1, ["z"] = 3 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "6 - 4\\frac{5}{6}", ["typ"] = "minus" }, ["render"] = "(6 - 4\\frac{5}{6})", ["typ"] = "zavorka" }, ["render"] = "11 - (6 - 4\\frac{5}{6})", ["typ"] = "minus" }, ["render"] = "(11 - (6 - 4\\frac{5}{6}))", ["typ"] = "zavorka" }, ["render"] = "4 \\cdot (11 - (6 - 4\\frac{5}{6}))", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.39, bodu=31, $$\frac{15}{-12 \cdot 8} - (-12)=\textcolor{white}{11\frac{27}{32}}$$return { ["body"] = 31, ["id"] = "M2cvAt_0120_0438", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = 11.84375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 379, ["jmenovatel"] = 32 }, ["render"] = "\\frac{379}{32}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{27}{32}", ["x"] = 11, ["y"] = 27, ["z"] = 32 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 8", ["typ"] = "krat" }, ["render"] = "\\frac{15}{-12 \\cdot 8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-12 \\cdot 8} - (-12)", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.4, bodu=84, $$(\frac{-9}{3\frac{4}{6}} + 3\frac{3}{11})^2 \cdot (8 + 11)=\textcolor{white}{12\frac{87}{121}}$$return { ["body"] = 84, ["id"] = "l66crA_0120_0438", ["obtiznost"] = 0.8808, ["reseni"] = { ["float"] = 12.719008264463, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1539, ["jmenovatel"] = 121 }, ["render"] = "\\frac{1539}{121}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{87}{121}", ["x"] = 12, ["y"] = 87, ["z"] = 121 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.4", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{3\\frac{4}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{3\\frac{4}{6}} + 3\\frac{3}{11}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-9}{3\\frac{4}{6}} + 3\\frac{3}{11})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "8 + 11", ["typ"] = "plus" }, ["render"] = "(8 + 11)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{-9}{3\\frac{4}{6}} + 3\\frac{3}{11})^2 \\cdot (8 + 11)", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.41, bodu=75, $$\frac{4}{\frac{9 + 1\frac{2}{6} + 7}{2\frac{3}{5} - (-17)}}=\textcolor{white}{4\frac{34}{65}}$$return { ["body"] = 75, ["id"] = "F9KGyc_0120_0438", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = 4.5230769230769, ["objekt"] = { ["hodnota"] = { ["citatel"] = 294, ["jmenovatel"] = 65 }, ["render"] = "\\frac{588}{130}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{34}{65}", ["x"] = 4, ["y"] = 34, ["z"] = 65 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.41", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} + 7", ["typ"] = "plus" }, ["render"] = "9 + 1\\frac{2}{6} + 7", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{5} - (-17)", ["typ"] = "minus" }, ["render"] = "\\frac{9 + 1\\frac{2}{6} + 7}{2\\frac{3}{5} - (-17)}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4}{\\frac{9 + 1\\frac{2}{6} + 7}{2\\frac{3}{5} - (-17)}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.42, bodu=76, $$\frac{(1\frac{3}{6} \cdot 7 - 4\frac{3}{4}) \cdot 10}{14}=\textcolor{white}{4\frac{3}{28}}$$return { ["body"] = 76, ["id"] = "YOcrXJ_0120_0438", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = 4.1071428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 115, ["jmenovatel"] = 28 }, ["render"] = "\\frac{115}{28}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{3}{28}", ["x"] = 4, ["y"] = 3, ["z"] = 28 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{6} \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{6} \\cdot 7 - 4\\frac{3}{4}", ["typ"] = "minus" }, ["render"] = "(1\\frac{3}{6} \\cdot 7 - 4\\frac{3}{4})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(1\\frac{3}{6} \\cdot 7 - 4\\frac{3}{4}) \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{(1\\frac{3}{6} \\cdot 7 - 4\\frac{3}{4}) \\cdot 10}{14}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.43, bodu=56, $$\frac{(1\frac{1}{5} + (-8) + 7)^2 + 9}{-10} \cdot -7=\textcolor{white}{6{,}328}$$return { ["body"] = 56, ["id"] = "VLu8Hb_0120_0438", ["obtiznost"] = 0.6404, ["reseni"] = { ["float"] = 6.328, ["objekt"] = { ["hodnota"] = { ["citatel"] = 791, ["jmenovatel"] = 125 }, ["render"] = "\\frac{791}{125}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{41}{125}", ["tex_float"] = "6{,}328", ["x"] = 6, ["y"] = 41, ["z"] = 125 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} + (-8) + 7", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{1}{5} + (-8) + 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(1\\frac{1}{5} + (-8) + 7)^2 + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{(1\\frac{1}{5} + (-8) + 7)^2 + 9}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{(1\\frac{1}{5} + (-8) + 7)^2 + 9}{-10} \\cdot -7", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.44, bodu=58, $$3\frac{5}{9} + (-11) + (-7 - 14 + (\frac{14}{4})^2)=\textcolor{white}{-16\frac{7}{36}}$$return { ["body"] = 58, ["id"] = "9HhUDy_0120_0438", ["obtiznost"] = 0.6612, ["reseni"] = { ["float"] = -16.194444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -583, ["jmenovatel"] = 36 }, ["render"] = "\\frac{-583}{36}", ["typ"] = "cislo" }, ["tex"] = "-16\\frac{7}{36}", ["x"] = -16, ["y"] = 7, ["z"] = 36 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{9} + (-11)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-7 - 14", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{4}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{14}{4})^2", ["typ"] = "mocnina" }, ["render"] = "-7 - 14 + (\\frac{14}{4})^2", ["typ"] = "plus" }, ["render"] = "3\\frac{5}{9} + (-11) + (-7 - 14 + (\\frac{14}{4})^2)", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.45, bodu=57, $$(4 + (-7)) \cdot \frac{10}{5 - 3\frac{1}{8}}=\textcolor{white}{-16}$$return { ["body"] = 57, ["id"] = "Kz5sJA_0120_0438", ["obtiznost"] = 0.65, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-48}{3}", ["typ"] = "cislo" }, ["tex"] = "-16", ["x"] = -16 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.45", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "4 + (-7)", ["typ"] = "plus" }, ["render"] = "(4 + (-7))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "5 - 3\\frac{1}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{10}{5 - 3\\frac{1}{8}}", ["typ"] = "lomeno" }, ["render"] = "(4 + (-7)) \\cdot \\frac{10}{5 - 3\\frac{1}{8}}", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.46, bodu=38, $$(12 - 8) \cdot (\frac{12}{13} + (-10 + 4))=\textcolor{white}{-20\frac{4}{13}}$$return { ["body"] = 38, ["id"] = "Iw8jHe_0120_0438", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = -20.307692307692, ["objekt"] = { ["hodnota"] = { ["citatel"] = -264, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-264}{13}", ["typ"] = "cislo" }, ["tex"] = "-20\\frac{4}{13}", ["x"] = -20, ["y"] = 4, ["z"] = 13 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.46", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "12 - 8", ["typ"] = "minus" }, ["render"] = "(12 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-10 + 4", ["typ"] = "plus" }, ["render"] = "\\frac{12}{13} + (-10 + 4)", ["typ"] = "plus" }, ["render"] = "(\\frac{12}{13} + (-10 + 4))", ["typ"] = "zavorka" }, ["render"] = "(12 - 8) \\cdot (\\frac{12}{13} + (-10 + 4))", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.47, bodu=83, $$(1\frac{4}{6} - 1\frac{1}{2} + (-11)) \cdot (17 + \frac{10}{17})=\textcolor{white}{-190\frac{55}{102}}$$return { ["body"] = 83, ["id"] = "ucXeJp_0120_0438", ["obtiznost"] = 0.87, ["reseni"] = { ["float"] = -190.53921568627, ["objekt"] = { ["hodnota"] = { ["citatel"] = -19435, ["jmenovatel"] = 102 }, ["render"] = "\\frac{-19435}{102}", ["typ"] = "cislo" }, ["tex"] = "-190\\frac{55}{102}", ["x"] = -190, ["y"] = 55, ["z"] = 102 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.47", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{6} - 1\\frac{1}{2}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{6} - 1\\frac{1}{2} + (-11)", ["typ"] = "plus" }, ["render"] = "(1\\frac{4}{6} - 1\\frac{1}{2} + (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{17}", ["typ"] = "lomeno" }, ["render"] = "17 + \\frac{10}{17}", ["typ"] = "plus" }, ["render"] = "(17 + \\frac{10}{17})", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{4}{6} - 1\\frac{1}{2} + (-11)) \\cdot (17 + \\frac{10}{17})", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.48, bodu=45, $$(\frac{-9}{-15})^3 \cdot 14 \cdot (14 + (-15))^3=\textcolor{white}{-3{,}024}$$return { ["body"] = 45, ["id"] = "4R0iSs_0120_0438", ["obtiznost"] = 0.5416, ["reseni"] = { ["float"] = -3.024, ["objekt"] = { ["hodnota"] = { ["citatel"] = -378, ["jmenovatel"] = 125 }, ["render"] = "\\frac{-378}{125}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{3}{125}", ["tex_float"] = "-3{,}024", ["x"] = -3, ["y"] = 3, ["z"] = 125 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.48", ["zadani"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-9}{-15})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "14 + (-15)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(14 + (-15))^3", ["typ"] = "mocnina" }, ["render"] = "14 \\cdot (14 + (-15))^3", ["typ"] = "krat" }, ["render"] = "(\\frac{-9}{-15})^3 \\cdot 14 \\cdot (14 + (-15))^3", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.49, bodu=91, $$(\frac{3\frac{1}{4} + 9 - (-12) - 10}{-12})^2=\textcolor{white}{1\frac{105}{256}}$$return { ["body"] = 91, ["id"] = "jhXrbu_0120_0438", ["obtiznost"] = 0.9368, ["reseni"] = { ["float"] = 1.41015625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 361, ["jmenovatel"] = 256 }, ["render"] = "\\frac{361}{256}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{105}{256}", ["x"] = 1, ["y"] = 105, ["z"] = 256 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.49", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "9 - (-12) - 10", ["typ"] = "minus" }, ["render"] = "3\\frac{1}{4} + 9 - (-12) - 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4} + 9 - (-12) - 10}{-12}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{3\\frac{1}{4} + 9 - (-12) - 10}{-12})^2", ["typ"] = "mocnina" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.5, bodu=62, $$\frac{4\frac{2}{7} + (-6)}{\frac{4 - (-7)}{-3 + (-5)}}=\textcolor{white}{1\frac{19}{77}}$$return { ["body"] = 62, ["id"] = "3nr8x8_0120_0438", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = 1.2467532467532, ["objekt"] = { ["hodnota"] = { ["citatel"] = 96, ["jmenovatel"] = 77 }, ["render"] = "\\frac{-96}{-77}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{19}{77}", ["x"] = 1, ["y"] = 19, ["z"] = 77 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{7} + (-6)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "4 - (-7)", ["typ"] = "minus" }, ["c2"] = { ["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" }, ["render"] = "\\frac{4 - (-7)}{-3 + (-5)}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{2}{7} + (-6)}{\\frac{4 - (-7)}{-3 + (-5)}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.51, bodu=69, $$16 + ((\frac{-11}{2})^2 + 7) \cdot 1\frac{5}{10}=\textcolor{white}{71{,}875}$$return { ["body"] = 69, ["id"] = "DsyES6_0120_0438", ["obtiznost"] = 0.76, ["reseni"] = { ["float"] = 71.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 575, ["jmenovatel"] = 8 }, ["render"] = "\\frac{575}{8}", ["typ"] = "cislo" }, ["tex"] = "71\\frac{7}{8}", ["tex_float"] = "71{,}875", ["x"] = 71, ["y"] = 7, ["z"] = 8 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.51", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{2}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-11}{2})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(\\frac{-11}{2})^2 + 7", ["typ"] = "plus" }, ["render"] = "((\\frac{-11}{2})^2 + 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "((\\frac{-11}{2})^2 + 7) \\cdot 1\\frac{5}{10}", ["typ"] = "krat" }, ["render"] = "16 + ((\\frac{-11}{2})^2 + 7) \\cdot 1\\frac{5}{10}", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.52, bodu=64, $$1\frac{5}{10} \cdot -12 - (-15 - 15 + (-10))=\textcolor{white}{22}$$return { ["body"] = 64, ["id"] = "1KfyI7_0120_0438", ["obtiznost"] = 0.72, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "\\frac{22}{1}", ["typ"] = "cislo" }, ["tex"] = "22", ["x"] = 22 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-15 - 15", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-15 - 15 + (-10)", ["typ"] = "plus" }, ["render"] = "(-15 - 15 + (-10))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{5}{10} \\cdot -12 - (-15 - 15 + (-10))", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.53, bodu=90, $$\frac{-12}{-17 + 3\frac{5}{11} - 4\frac{4}{9} - (-14)}=\textcolor{white}{3\frac{3}{395}}$$return { ["body"] = 90, ["id"] = "d3cKQo_0120_0438", ["obtiznost"] = 0.93, ["reseni"] = { ["float"] = 3.0075949367089, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1188, ["jmenovatel"] = 395 }, ["render"] = "\\frac{-1188}{-395}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{3}{395}", ["x"] = 3, ["y"] = 3, ["z"] = 395 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.53", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-17 + 3\\frac{5}{11}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "-17 + 3\\frac{5}{11} - 4\\frac{4}{9}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-17 + 3\\frac{5}{11} - 4\\frac{4}{9} - (-14)", ["typ"] = "minus" }, ["render"] = "\\frac{-12}{-17 + 3\\frac{5}{11} - 4\\frac{4}{9} - (-14)}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.54, bodu=149, $$4\frac{4}{10} + 2\frac{3}{4} + (9 - 1\frac{3}{5}) \cdot (3\frac{3}{6} + (-8))=\textcolor{white}{-26{,}15}$$return { ["body"] = 149, ["id"] = "KclBkB_0120_0438", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = -26.15, ["objekt"] = { ["hodnota"] = { ["citatel"] = -523, ["jmenovatel"] = 20 }, ["render"] = "\\frac{-5230}{200}", ["typ"] = "cislo" }, ["tex"] = "-26\\frac{3}{20}", ["tex_float"] = "-26{,}15", ["x"] = -26, ["y"] = 3, ["z"] = 20 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{10} + 2\\frac{3}{4}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "9 - 1\\frac{3}{5}", ["typ"] = "minus" }, ["render"] = "(9 - 1\\frac{3}{5})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{6} + (-8)", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{6} + (-8))", ["typ"] = "zavorka" }, ["render"] = "(9 - 1\\frac{3}{5}) \\cdot (3\\frac{3}{6} + (-8))", ["typ"] = "krat" }, ["render"] = "4\\frac{4}{10} + 2\\frac{3}{4} + (9 - 1\\frac{3}{5}) \\cdot (3\\frac{3}{6} + (-8))", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.55, bodu=120, $$9 \cdot -8 \cdot \frac{2\frac{1}{9} - 2\frac{5}{11}}{2\frac{1}{7}}=\textcolor{white}{11\frac{89}{165}}$$return { ["body"] = 120, ["id"] = "hUg6Mr_0120_0438", ["obtiznost"] = 1.15, ["reseni"] = { ["float"] = 11.539393939394, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1904, ["jmenovatel"] = 165 }, ["render"] = "\\frac{17136}{1485}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{89}{165}", ["x"] = 11, ["y"] = 89, ["z"] = 165 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{9} - 2\\frac{5}{11}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{9} - 2\\frac{5}{11}}{2\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "9 \\cdot -8 \\cdot \\frac{2\\frac{1}{9} - 2\\frac{5}{11}}{2\\frac{1}{7}}", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.56, bodu=86, $$\frac{(-13 - (-6))^3}{-14} - (-6 + 1\frac{2}{5} + 10)=\textcolor{white}{19{,}1}$$return { ["body"] = 86, ["id"] = "Qk1ayy_0120_0438", ["obtiznost"] = 0.8976, ["reseni"] = { ["float"] = 19.1, ["objekt"] = { ["hodnota"] = { ["citatel"] = 191, ["jmenovatel"] = 10 }, ["render"] = "\\frac{191}{10}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{1}{10}", ["tex_float"] = "19{,}1", ["x"] = 19, ["y"] = 1, ["z"] = 10 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-13 - (-6)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-13 - (-6))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{(-13 - (-6))^3}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} + 10", ["typ"] = "plus" }, ["render"] = "-6 + 1\\frac{2}{5} + 10", ["typ"] = "plus" }, ["render"] = "(-6 + 1\\frac{2}{5} + 10)", ["typ"] = "zavorka" }, ["render"] = "\\frac{(-13 - (-6))^3}{-14} - (-6 + 1\\frac{2}{5} + 10)", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.57, bodu=95, $$\frac{-10}{-9 - 1\frac{5}{9} - 7 \cdot 3\frac{4}{8}}=\textcolor{white}{\frac{180}{631}}$$return { ["body"] = 95, ["id"] = "SgCAFO_0120_0438", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = 0.28526148969889, ["objekt"] = { ["hodnota"] = { ["citatel"] = 180, ["jmenovatel"] = 631 }, ["render"] = "\\frac{-180}{-631}", ["typ"] = "cislo" }, ["tex"] = "\\frac{180}{631}", ["y"] = 180, ["z"] = 631 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.57", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "-9 - 1\\frac{5}{9}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 3\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "-9 - 1\\frac{5}{9} - 7 \\cdot 3\\frac{4}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{-10}{-9 - 1\\frac{5}{9} - 7 \\cdot 3\\frac{4}{8}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.58, bodu=25, $$(9 \cdot -8 - 16) \cdot (9 - 16)^2=\textcolor{white}{-4312}$$return { ["body"] = 25, ["id"] = "nc1zuK_0120_0438", ["obtiznost"] = 0.6, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -4312, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-4312}{1}", ["typ"] = "cislo" }, ["tex"] = "-4312", ["x"] = -4312 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.58", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -8 - 16", ["typ"] = "minus" }, ["render"] = "(9 \\cdot -8 - 16)", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "9 - 16", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(9 - 16)^2", ["typ"] = "mocnina" }, ["render"] = "(9 \\cdot -8 - 16) \\cdot (9 - 16)^2", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.59, bodu=73, $$16 \cdot 5 \cdot (-8 - (1\frac{1}{3} + 10))=\textcolor{white}{-1546\frac{2}{3}}$$return { ["body"] = 73, ["id"] = "HIOYyP_0120_0438", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = -1546.6666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4640, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-4640}{3}", ["typ"] = "cislo" }, ["tex"] = "-1546\\frac{2}{3}", ["x"] = -1546, ["y"] = 2, ["z"] = 3 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.59", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{3} + 10", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{3} + 10)", ["typ"] = "zavorka" }, ["render"] = "-8 - (1\\frac{1}{3} + 10)", ["typ"] = "minus" }, ["render"] = "(-8 - (1\\frac{1}{3} + 10))", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot (-8 - (1\\frac{1}{3} + 10))", ["typ"] = "krat" }, ["render"] = "16 \\cdot 5 \\cdot (-8 - (1\\frac{1}{3} + 10))", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.6, bodu=46, $$(17 - 15)^2 - ((-11 + 9)^2 + 11 + (19 - (-10))^2)=\textcolor{white}{-852}$$return { ["body"] = 46, ["id"] = "HGD16e_0120_0438", ["obtiznost"] = 0.9408, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -852, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-852}{1}", ["typ"] = "cislo" }, ["tex"] = "-852", ["x"] = -852 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.6", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "17 - 15", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(17 - 15)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-11 + 9", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-11 + 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "19 - (-10)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(19 - (-10))^2", ["typ"] = "mocnina" }, ["render"] = "11 + (19 - (-10))^2", ["typ"] = "plus" }, ["render"] = "(-11 + 9)^2 + 11 + (19 - (-10))^2", ["typ"] = "plus" }, ["render"] = "((-11 + 9)^2 + 11 + (19 - (-10))^2)", ["typ"] = "zavorka" }, ["render"] = "(17 - 15)^2 - ((-11 + 9)^2 + 11 + (19 - (-10))^2)", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.61, bodu=75, $$(5 - \frac{\frac{4\frac{5}{11}}{-13}}{-5}) \cdot (-14 + 7)=\textcolor{white}{-34\frac{372}{715}}$$return { ["body"] = 75, ["id"] = "8xR7CU_0120_0438", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = -34.52027972028, ["objekt"] = { ["hodnota"] = { ["citatel"] = -24682, ["jmenovatel"] = 715 }, ["render"] = "\\frac{-24682}{715}", ["typ"] = "cislo" }, ["tex"] = "-34\\frac{372}{715}", ["x"] = -34, ["y"] = 372, ["z"] = 715 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.61", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{11}}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{5}{11}}{-13}}{-5}", ["typ"] = "lomeno" }, ["render"] = "5 - \\frac{\\frac{4\\frac{5}{11}}{-13}}{-5}", ["typ"] = "minus" }, ["render"] = "(5 - \\frac{\\frac{4\\frac{5}{11}}{-13}}{-5})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-14 + 7", ["typ"] = "plus" }, ["render"] = "(-14 + 7)", ["typ"] = "zavorka" }, ["render"] = "(5 - \\frac{\\frac{4\\frac{5}{11}}{-13}}{-5}) \\cdot (-14 + 7)", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.62, bodu=145, $$\frac{4\frac{3}{7}}{3\frac{5}{14}} + \frac{-13}{14} - (-5 + 14)^3=\textcolor{white}{-728\frac{401}{658}}$$return { ["body"] = 145, ["id"] = "EKPP5H_0120_0438", ["obtiznost"] = 1.312, ["reseni"] = { ["float"] = -728.6094224924, ["objekt"] = { ["hodnota"] = { ["citatel"] = -479425, ["jmenovatel"] = 658 }, ["render"] = "\\frac{-479425}{658}", ["typ"] = "cislo" }, ["tex"] = "-728\\frac{401}{658}", ["x"] = -728, ["y"] = 401, ["z"] = 658 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 14 }, ["render"] = "3\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{7}}{3\\frac{5}{14}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{14}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{3}{7}}{3\\frac{5}{14}} + \\frac{-13}{14}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-5 + 14", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-5 + 14)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{4\\frac{3}{7}}{3\\frac{5}{14}} + \\frac{-13}{14} - (-5 + 14)^3", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.63, bodu=144, $$\frac{(\frac{-20}{17})^2}{3\frac{1}{6} \cdot -17 + 1\frac{2}{4}}=\textcolor{white}{-\frac{1200}{45373}}$$return { ["body"] = 144, ["id"] = "Q7Dr2w_0120_0438", ["obtiznost"] = 1.3056, ["reseni"] = { ["float"] = -0.026447446719415, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1200, ["jmenovatel"] = 45373 }, ["render"] = "\\frac{1200}{-45373}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1200}{45373}", ["y"] = -1200, ["z"] = 45373 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.63", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{-20}{17}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-20}{17})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} \\cdot -17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} \\cdot -17 + 1\\frac{2}{4}", ["typ"] = "plus" }, ["render"] = "\\frac{(\\frac{-20}{17})^2}{3\\frac{1}{6} \\cdot -17 + 1\\frac{2}{4}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.64, bodu=134, $$\frac{1\frac{1}{6} - \frac{11 \cdot 1\frac{3}{10}}{12}}{3\frac{2}{7}}=\textcolor{white}{-\frac{7}{920}}$$return { ["body"] = 134, ["id"] = "cHp03x_0120_0438", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = -0.0076086956521739, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 920 }, ["render"] = "\\frac{-7}{920}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7}{920}", ["y"] = -7, ["z"] = 920 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 1\\frac{3}{10}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{11 \\cdot 1\\frac{3}{10}}{12}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{6} - \\frac{11 \\cdot 1\\frac{3}{10}}{12}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{6} - \\frac{11 \\cdot 1\\frac{3}{10}}{12}}{3\\frac{2}{7}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.65, bodu=81, $$\frac{(-9 + 12)^3}{\frac{12}{\frac{2\frac{5}{11}}{12}}}=\textcolor{white}{\frac{81}{176}}$$return { ["body"] = 81, ["id"] = "AGroBI_0120_0438", ["obtiznost"] = 0.8612, ["reseni"] = { ["float"] = 0.46022727272727, ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 176 }, ["render"] = "\\frac{81}{176}", ["typ"] = "cislo" }, ["tex"] = "\\frac{81}{176}", ["y"] = 81, ["z"] = 176 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.65", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-9 + 12", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-9 + 12)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{11}}{12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{12}{\\frac{2\\frac{5}{11}}{12}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(-9 + 12)^3}{\\frac{12}{\\frac{2\\frac{5}{11}}{12}}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.66, bodu=135, $$(-8 + 12)^3 - \frac{8 + 1\frac{1}{2}}{(-12 - 18)^2}=\textcolor{white}{63\frac{1781}{1800}}$$return { ["body"] = 135, ["id"] = "wDTIGn_0120_0438", ["obtiznost"] = 1.2464, ["reseni"] = { ["float"] = 63.989444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 115181, ["jmenovatel"] = 1800 }, ["render"] = "\\frac{115181}{1800}", ["typ"] = "cislo" }, ["tex"] = "63\\frac{1781}{1800}", ["x"] = 63, ["y"] = 1781, ["z"] = 1800 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.66", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-8 + 12", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-8 + 12)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "8 + 1\\frac{1}{2}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "-12 - 18", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-12 - 18)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{8 + 1\\frac{1}{2}}{(-12 - 18)^2}", ["typ"] = "lomeno" }, ["render"] = "(-8 + 12)^3 - \\frac{8 + 1\\frac{1}{2}}{(-12 - 18)^2}", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.67, bodu=138, $$\frac{\frac{-5}{1\frac{5}{13}} \cdot 1\frac{3}{11} \cdot 1\frac{2}{11}}{-19}=\textcolor{white}{\frac{5915}{20691}}$$return { ["body"] = 138, ["id"] = "XA1ptr_0120_0438", ["obtiznost"] = 1.27, ["reseni"] = { ["float"] = 0.28587308491615, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5915, ["jmenovatel"] = 20691 }, ["render"] = "\\frac{-5915}{-20691}", ["typ"] = "cislo" }, ["tex"] = "\\frac{5915}{20691}", ["y"] = 5915, ["z"] = 20691 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{1\\frac{5}{13}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{1\\frac{5}{13}} \\cdot 1\\frac{3}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{1\\frac{5}{13}} \\cdot 1\\frac{3}{11} \\cdot 1\\frac{2}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-5}{1\\frac{5}{13}} \\cdot 1\\frac{3}{11} \\cdot 1\\frac{2}{11}}{-19}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.68, bodu=111, $$\frac{1\frac{3}{7} + 10}{1\frac{4}{7} + (-10)} \cdot 16 \cdot -14=\textcolor{white}{303\frac{43}{59}}$$return { ["body"] = 111, ["id"] = "mUFavm_0120_0438", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = 303.72881355932, ["objekt"] = { ["hodnota"] = { ["citatel"] = 17920, ["jmenovatel"] = 59 }, ["render"] = "\\frac{17920}{59}", ["typ"] = "cislo" }, ["tex"] = "303\\frac{43}{59}", ["x"] = 303, ["y"] = 43, ["z"] = 59 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{7} + 10", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} + (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{3}{7} + 10}{1\\frac{4}{7} + (-10)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "16 \\cdot -14", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{3}{7} + 10}{1\\frac{4}{7} + (-10)} \\cdot 16 \\cdot -14", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.69, bodu=182, $$\frac{2\frac{3}{11} - 2\frac{5}{14}}{(\frac{1\frac{4}{8}}{-15} \cdot -16)^3}=\textcolor{white}{-\frac{1625}{78848}}$$return { ["body"] = 182, ["id"] = "2BZtOH_0120_0438", ["obtiznost"] = 1.5448, ["reseni"] = { ["float"] = -0.020609273538961, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1625, ["jmenovatel"] = 78848 }, ["render"] = "\\frac{-1625}{78848}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1625}{78848}", ["y"] = -1625, ["z"] = 78848 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 14 }, ["render"] = "2\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{11} - 2\\frac{5}{14}", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{8}}{-15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{8}}{-15} \\cdot -16", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "(\\frac{1\\frac{4}{8}}{-15} \\cdot -16)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{2\\frac{3}{11} - 2\\frac{5}{14}}{(\\frac{1\\frac{4}{8}}{-15} \\cdot -16)^3}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.7, bodu=113, $$\frac{-15}{\frac{2\frac{2}{9}}{-13 + (-8) - 4\frac{3}{7} \cdot 15}}=\textcolor{white}{590\frac{1}{7}}$$return { ["body"] = 113, ["id"] = "v28dtq_0120_0438", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = 590.14285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4131, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-20655}{-35}", ["typ"] = "cislo" }, ["tex"] = "590\\frac{1}{7}", ["x"] = 590, ["y"] = 1, ["z"] = 7 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.7", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-13 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} \\cdot 15", ["typ"] = "krat" }, ["render"] = "-13 + (-8) - 4\\frac{3}{7} \\cdot 15", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{2}{9}}{-13 + (-8) - 4\\frac{3}{7} \\cdot 15}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-15}{\\frac{2\\frac{2}{9}}{-13 + (-8) - 4\\frac{3}{7} \\cdot 15}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.71, bodu=115, $$\frac{2\frac{2}{4} - (1\frac{5}{9} - 16)}{12 \cdot -18 - 17}=\textcolor{white}{-\frac{305}{4194}}$$return { ["body"] = 115, ["id"] = "c1cp3D_0120_0438", ["obtiznost"] = 1.11, ["reseni"] = { ["float"] = -0.072722937529804, ["objekt"] = { ["hodnota"] = { ["citatel"] = -305, ["jmenovatel"] = 4194 }, ["render"] = "\\frac{305}{-4194}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{305}{4194}", ["y"] = -305, ["z"] = 4194 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} - 16", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{9} - 16)", ["typ"] = "zavorka" }, ["render"] = "2\\frac{2}{4} - (1\\frac{5}{9} - 16)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "12 \\cdot -18", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "12 \\cdot -18 - 17", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{2}{4} - (1\\frac{5}{9} - 16)}{12 \\cdot -18 - 17}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.72, bodu=233, $$1\frac{1}{7} - (\frac{3\frac{2}{7}}{2\frac{2}{7}})^2 \cdot 13 - 2\frac{4}{9}=\textcolor{white}{-28\frac{2659}{16128}}$$return { ["body"] = 233, ["id"] = "pQvU8I_0120_0438", ["obtiznost"] = 1.834, ["reseni"] = { ["float"] = -28.164868551587, ["objekt"] = { ["hodnota"] = { ["citatel"] = -454243, ["jmenovatel"] = 16128 }, ["render"] = "\\frac{-454243}{16128}", ["typ"] = "cislo" }, ["tex"] = "-28\\frac{2659}{16128}", ["x"] = -28, ["y"] = 2659, ["z"] = 16128 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{7}}{2\\frac{2}{7}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{3\\frac{2}{7}}{2\\frac{2}{7}})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "(\\frac{3\\frac{2}{7}}{2\\frac{2}{7}})^2 \\cdot 13", ["typ"] = "krat" }, ["render"] = "1\\frac{1}{7} - (\\frac{3\\frac{2}{7}}{2\\frac{2}{7}})^2 \\cdot 13", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{7} - (\\frac{3\\frac{2}{7}}{2\\frac{2}{7}})^2 \\cdot 13 - 2\\frac{4}{9}", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.73, bodu=155, $$3\frac{1}{6} + \frac{\frac{-6}{1\frac{4}{7}}}{(-13 - 12)^2 + 8}=\textcolor{white}{3\frac{2237}{13926}}$$return { ["body"] = 155, ["id"] = "hTm9NV_0120_0438", ["obtiznost"] = 1.3804, ["reseni"] = { ["float"] = 3.1606347838575, ["objekt"] = { ["hodnota"] = { ["citatel"] = 44015, ["jmenovatel"] = 13926 }, ["render"] = "\\frac{44015}{13926}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{2237}{13926}", ["x"] = 3, ["y"] = 2237, ["z"] = 13926 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.73", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{1\\frac{4}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-13 - 12", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-13 - 12)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(-13 - 12)^2 + 8", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-6}{1\\frac{4}{7}}}{(-13 - 12)^2 + 8}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{6} + \\frac{\\frac{-6}{1\\frac{4}{7}}}{(-13 - 12)^2 + 8}", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.74, bodu=181, $$(4\frac{3}{11} - \frac{-12}{2\frac{3}{6}} - 1\frac{1}{5}) \cdot (2\frac{1}{8} + 14)=\textcolor{white}{126\frac{417}{440}}$$return { ["body"] = 181, ["id"] = "XpnKXk_0120_0438", ["obtiznost"] = 1.54, ["reseni"] = { ["float"] = 126.94772727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55857, ["jmenovatel"] = 440 }, ["render"] = "\\frac{55857}{440}", ["typ"] = "cislo" }, ["tex"] = "126\\frac{417}{440}", ["x"] = 126, ["y"] = 417, ["z"] = 440 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.74", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{2\\frac{3}{6}}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{3}{11} - \\frac{-12}{2\\frac{3}{6}}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{11} - \\frac{-12}{2\\frac{3}{6}} - 1\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{11} - \\frac{-12}{2\\frac{3}{6}} - 1\\frac{1}{5})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{8} + 14", ["typ"] = "plus" }, ["render"] = "(2\\frac{1}{8} + 14)", ["typ"] = "zavorka" }, ["render"] = "(4\\frac{3}{11} - \\frac{-12}{2\\frac{3}{6}} - 1\\frac{1}{5}) \\cdot (2\\frac{1}{8} + 14)", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.75, bodu=120, $$7 \cdot 2\frac{5}{12} - (4\frac{5}{9} + 14 \cdot -17 - (-13))=\textcolor{white}{237\frac{13}{36}}$$return { ["body"] = 120, ["id"] = "ZDKz2M_0120_0438", ["obtiznost"] = 1.15, ["reseni"] = { ["float"] = 237.36111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8545, ["jmenovatel"] = 36 }, ["render"] = "\\frac{25635}{108}", ["typ"] = "cislo" }, ["tex"] = "237\\frac{13}{36}", ["x"] = 237, ["y"] = 13, ["z"] = 36 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 2\\frac{5}{12}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "14 \\cdot -17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "14 \\cdot -17 - (-13)", ["typ"] = "minus" }, ["render"] = "4\\frac{5}{9} + 14 \\cdot -17 - (-13)", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{9} + 14 \\cdot -17 - (-13))", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot 2\\frac{5}{12} - (4\\frac{5}{9} + 14 \\cdot -17 - (-13))", ["typ"] = "minus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.76, bodu=161, $$(\frac{1\frac{1}{3} \cdot 12 \cdot \frac{8}{-16}}{3\frac{1}{5}})^4=\textcolor{white}{39\frac{1}{16}}$$return { ["body"] = 161, ["id"] = "LCQjhT_0120_0438", ["obtiznost"] = 1.4164, ["reseni"] = { ["float"] = 39.0625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 625, ["jmenovatel"] = 16 }, ["render"] = "\\frac{625}{16}", ["typ"] = "cislo" }, ["tex"] = "39\\frac{1}{16}", ["x"] = 39, ["y"] = 1, ["z"] = 16 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.76", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{3} \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-16}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{3} \\cdot 12 \\cdot \\frac{8}{-16}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{3} \\cdot 12 \\cdot \\frac{8}{-16}}{3\\frac{1}{5}}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{1\\frac{1}{3} \\cdot 12 \\cdot \\frac{8}{-16}}{3\\frac{1}{5}})^4", ["typ"] = "mocnina" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.77, bodu=187, $$4\frac{1}{6} \cdot 3\frac{4}{9} \cdot \frac{1\frac{4}{7}}{1\frac{5}{11}} \cdot 16=\textcolor{white}{248\frac{31}{378}}$$return { ["body"] = 187, ["id"] = "oBvfQJ_0120_0438", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = 248.08201058201, ["objekt"] = { ["hodnota"] = { ["citatel"] = 93775, ["jmenovatel"] = 378 }, ["render"] = "\\frac{93775}{378}", ["typ"] = "cislo" }, ["tex"] = "248\\frac{31}{378}", ["x"] = 248, ["y"] = 31, ["z"] = 378 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{6} \\cdot 3\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{7}}{1\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{7}}{1\\frac{5}{11}} \\cdot 16", ["typ"] = "krat" }, ["render"] = "4\\frac{1}{6} \\cdot 3\\frac{4}{9} \\cdot \\frac{1\\frac{4}{7}}{1\\frac{5}{11}} \\cdot 16", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.78, bodu=188, $$\frac{4\frac{2}{5}}{\frac{-9}{3\frac{4}{9} + 1\frac{5}{9} + \frac{1\frac{1}{10}}{-9}}}=\textcolor{white}{-2\frac{779}{2025}}$$return { ["body"] = 188, ["id"] = "ucEKVG_0120_0438", ["obtiznost"] = 1.58, ["reseni"] = { ["float"] = -2.3846913580247, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4829, ["jmenovatel"] = 2025 }, ["render"] = "\\frac{9658}{-4050}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{779}{2025}", ["x"] = -2, ["y"] = 779, ["z"] = 2025 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.78", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{10}}{-9}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{5}{9} + \\frac{1\\frac{1}{10}}{-9}", ["typ"] = "plus" }, ["render"] = "3\\frac{4}{9} + 1\\frac{5}{9} + \\frac{1\\frac{1}{10}}{-9}", ["typ"] = "plus" }, ["render"] = "\\frac{-9}{3\\frac{4}{9} + 1\\frac{5}{9} + \\frac{1\\frac{1}{10}}{-9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{2}{5}}{\\frac{-9}{3\\frac{4}{9} + 1\\frac{5}{9} + \\frac{1\\frac{1}{10}}{-9}}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.79, bodu=130, $$\frac{-17 - (-9 + 17)^2}{4\frac{5}{11} - \frac{-14}{3\frac{4}{10}}}=\textcolor{white}{-9\frac{720}{1603}}$$return { ["body"] = 130, ["id"] = "0pm29c_0120_0438", ["obtiznost"] = 1.216, ["reseni"] = { ["float"] = -9.4491578290705, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15147, ["jmenovatel"] = 1603 }, ["render"] = "\\frac{-15147}{1603}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{720}{1603}", ["x"] = -9, ["y"] = 720, ["z"] = 1603 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "-9 + 17", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-9 + 17)^2", ["typ"] = "mocnina" }, ["render"] = "-17 - (-9 + 17)^2", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{3\\frac{4}{10}}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{5}{11} - \\frac{-14}{3\\frac{4}{10}}", ["typ"] = "minus" }, ["render"] = "\\frac{-17 - (-9 + 17)^2}{4\\frac{5}{11} - \\frac{-14}{3\\frac{4}{10}}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.8, bodu=192, $$\frac{3\frac{5}{10} + \frac{\frac{-10}{1\frac{5}{12}}}{\frac{2\frac{4}{7}}{-6}}}{3\frac{3}{8}}=\textcolor{white}{5\frac{421}{459}}$$return { ["body"] = 192, ["id"] = "rv7yKT_0120_0438", ["obtiznost"] = 1.6, ["reseni"] = { ["float"] = 5.917211328976, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2716, ["jmenovatel"] = 459 }, ["render"] = "\\frac{5432}{918}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{421}{459}", ["x"] = 5, ["y"] = 421, ["z"] = 459 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{1\\frac{5}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{7}}{-6}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{-10}{1\\frac{5}{12}}}{\\frac{2\\frac{4}{7}}{-6}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{5}{10} + \\frac{\\frac{-10}{1\\frac{5}{12}}}{\\frac{2\\frac{4}{7}}{-6}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{10} + \\frac{\\frac{-10}{1\\frac{5}{12}}}{\\frac{2\\frac{4}{7}}{-6}}}{3\\frac{3}{8}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.81, bodu=193, $$(4\frac{4}{9} - 3\frac{1}{6}) \cdot (22 + 2\frac{5}{9}) \cdot -15 \cdot 4\frac{4}{9}=\textcolor{white}{-2091\frac{187}{243}}$$return { ["body"] = 193, ["id"] = "BbQ2kE_0120_0438", ["obtiznost"] = 1.61, ["reseni"] = { ["float"] = -2091.7695473251, ["objekt"] = { ["hodnota"] = { ["citatel"] = -508300, ["jmenovatel"] = 243 }, ["render"] = "\\frac{-1016600}{486}", ["typ"] = "cislo" }, ["tex"] = "-2091\\frac{187}{243}", ["x"] = -2091, ["y"] = 187, ["z"] = 243 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} - 3\\frac{1}{6}", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{9} - 3\\frac{1}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "22 + 2\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "(22 + 2\\frac{5}{9})", ["typ"] = "zavorka" }, ["render"] = "(4\\frac{4}{9} - 3\\frac{1}{6}) \\cdot (22 + 2\\frac{5}{9})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 4\\frac{4}{9}", ["typ"] = "krat" }, ["render"] = "(4\\frac{4}{9} - 3\\frac{1}{6}) \\cdot (22 + 2\\frac{5}{9}) \\cdot -15 \\cdot 4\\frac{4}{9}", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.82, bodu=162, $$(16 - 1\frac{2}{5} + 11 - (-15)) \cdot (3\frac{1}{9} + 9 - 2\frac{4}{10})=\textcolor{white}{394\frac{61}{225}}$$return { ["body"] = 162, ["id"] = "2DhvpU_0120_0438", ["obtiznost"] = 1.42, ["reseni"] = { ["float"] = 394.27111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 88711, ["jmenovatel"] = 225 }, ["render"] = "\\frac{88711}{225}", ["typ"] = "cislo" }, ["tex"] = "394\\frac{61}{225}", ["x"] = 394, ["y"] = 61, ["z"] = 225 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.82", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "16 - 1\\frac{2}{5}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "16 - 1\\frac{2}{5} + 11", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "16 - 1\\frac{2}{5} + 11 - (-15)", ["typ"] = "minus" }, ["render"] = "(16 - 1\\frac{2}{5} + 11 - (-15))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "9 - 2\\frac{4}{10}", ["typ"] = "minus" }, ["render"] = "3\\frac{1}{9} + 9 - 2\\frac{4}{10}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{9} + 9 - 2\\frac{4}{10})", ["typ"] = "zavorka" }, ["render"] = "(16 - 1\\frac{2}{5} + 11 - (-15)) \\cdot (3\\frac{1}{9} + 9 - 2\\frac{4}{10})", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.83, bodu=197, $$\frac{\frac{-16}{3\frac{5}{12}}}{2\frac{3}{9} + \frac{3\frac{4}{6}}{11} - 2\frac{4}{9}}=\textcolor{white}{-21\frac{3}{41}}$$return { ["body"] = 197, ["id"] = "TOXELu_0120_0438", ["obtiznost"] = 1.63, ["reseni"] = { ["float"] = -21.073170731707, ["objekt"] = { ["hodnota"] = { ["citatel"] = -864, ["jmenovatel"] = 41 }, ["render"] = "\\frac{-1728}{82}", ["typ"] = "cislo" }, ["tex"] = "-21\\frac{3}{41}", ["x"] = -21, ["y"] = 3, ["z"] = 41 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{3\\frac{5}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{6}}{11}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{3}{9} + \\frac{3\\frac{4}{6}}{11}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} + \\frac{3\\frac{4}{6}}{11} - 2\\frac{4}{9}", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{-16}{3\\frac{5}{12}}}{2\\frac{3}{9} + \\frac{3\\frac{4}{6}}{11} - 2\\frac{4}{9}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.84, bodu=234, $$1\frac{5}{12} - 3\frac{3}{9} + 3\frac{2}{7} - (-11) + \frac{3\frac{2}{6}}{-4 + 2\frac{3}{11}}=\textcolor{white}{10\frac{701}{1596}}$$return { ["body"] = 234, ["id"] = "x9zkSf_0120_0438", ["obtiznost"] = 1.84, ["reseni"] = { ["float"] = 10.439223057644, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16661, ["jmenovatel"] = 1596 }, ["render"] = "\\frac{49983}{4788}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{701}{1596}", ["x"] = 10, ["y"] = 701, ["z"] = 1596 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{12} - 3\\frac{3}{9}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{7} - (-11)", ["typ"] = "minus" }, ["render"] = "1\\frac{5}{12} - 3\\frac{3}{9} + 3\\frac{2}{7} - (-11)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "-4 + 2\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "\\frac{3\\frac{2}{6}}{-4 + 2\\frac{3}{11}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{5}{12} - 3\\frac{3}{9} + 3\\frac{2}{7} - (-11) + \\frac{3\\frac{2}{6}}{-4 + 2\\frac{3}{11}}", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.85, bodu=167, $$\frac{-15 \cdot 2\frac{3}{9} \cdot 19}{\frac{1\frac{1}{9}}{4\frac{4}{11}}}=\textcolor{white}{-2611\frac{7}{11}}$$return { ["body"] = 167, ["id"] = "L3whKA_0120_0438", ["obtiznost"] = 1.45, ["reseni"] = { ["float"] = -2611.6363636364, ["objekt"] = { ["hodnota"] = { ["citatel"] = -28728, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-143640}{55}", ["typ"] = "cislo" }, ["tex"] = "-2611\\frac{7}{11}", ["x"] = -2611, ["y"] = 7, ["z"] = 11 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} \\cdot 19", ["typ"] = "krat" }, ["render"] = "-15 \\cdot 2\\frac{3}{9} \\cdot 19", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{9}}{4\\frac{4}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-15 \\cdot 2\\frac{3}{9} \\cdot 19}{\\frac{1\\frac{1}{9}}{4\\frac{4}{11}}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.86, bodu=137, $$6 \cdot -10 - 3\frac{5}{7} + \frac{-10 + 4\frac{3}{5} + 13}{-15}=\textcolor{white}{-64\frac{116}{525}}$$return { ["body"] = 137, ["id"] = "tyGTeV_0120_0438", ["obtiznost"] = 1.26, ["reseni"] = { ["float"] = -64.220952380952, ["objekt"] = { ["hodnota"] = { ["citatel"] = -33716, ["jmenovatel"] = 525 }, ["render"] = "\\frac{-33716}{525}", ["typ"] = "cislo" }, ["tex"] = "-64\\frac{116}{525}", ["x"] = -64, ["y"] = 116, ["z"] = 525 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "6 \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot -10 - 3\\frac{5}{7}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "-10 + 4\\frac{3}{5}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-10 + 4\\frac{3}{5} + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 + 4\\frac{3}{5} + 13}{-15}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot -10 - 3\\frac{5}{7} + \\frac{-10 + 4\\frac{3}{5} + 13}{-15}", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.87, bodu=138, $$-17 \cdot (17 - \frac{2\frac{4}{12}}{20} - (-8 + 3\frac{1}{7}))=\textcolor{white}{-369\frac{247}{420}}$$return { ["body"] = 138, ["id"] = "R6xxjU_0120_0438", ["obtiznost"] = 1.27, ["reseni"] = { ["float"] = -369.5880952381, ["objekt"] = { ["hodnota"] = { ["citatel"] = -155227, ["jmenovatel"] = 420 }, ["render"] = "\\frac{-155227}{420}", ["typ"] = "cislo" }, ["tex"] = "-369\\frac{247}{420}", ["x"] = -369, ["y"] = 247, ["z"] = 420 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.87", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{12}}{20}", ["typ"] = "lomeno" }, ["render"] = "17 - \\frac{2\\frac{4}{12}}{20}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "-8 + 3\\frac{1}{7}", ["typ"] = "plus" }, ["render"] = "(-8 + 3\\frac{1}{7})", ["typ"] = "zavorka" }, ["render"] = "17 - \\frac{2\\frac{4}{12}}{20} - (-8 + 3\\frac{1}{7})", ["typ"] = "minus" }, ["render"] = "(17 - \\frac{2\\frac{4}{12}}{20} - (-8 + 3\\frac{1}{7}))", ["typ"] = "zavorka" }, ["render"] = "-17 \\cdot (17 - \\frac{2\\frac{4}{12}}{20} - (-8 + 3\\frac{1}{7}))", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.88, bodu=205, $$4\frac{5}{11} - 2 - (12 - (-5)) + 3\frac{1}{6} + \frac{2\frac{4}{7}}{2\frac{1}{9}}=\textcolor{white}{-10\frac{1411}{8778}}$$return { ["body"] = 205, ["id"] = "rFWF9d_0120_0438", ["obtiznost"] = 1.68, ["reseni"] = { ["float"] = -10.160742766006, ["objekt"] = { ["hodnota"] = { ["citatel"] = -89191, ["jmenovatel"] = 8778 }, ["render"] = "\\frac{-89191}{8778}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{1411}{8778}", ["x"] = -10, ["y"] = 1411, ["z"] = 8778 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{11} - 2", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "12 - (-5)", ["typ"] = "minus" }, ["render"] = "(12 - (-5))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{5}{11} - 2 - (12 - (-5))", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{7}}{2\\frac{1}{9}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{6} + \\frac{2\\frac{4}{7}}{2\\frac{1}{9}}", ["typ"] = "plus" }, ["render"] = "4\\frac{5}{11} - 2 - (12 - (-5)) + 3\\frac{1}{6} + \\frac{2\\frac{4}{7}}{2\\frac{1}{9}}", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.89, bodu=141, $$(10 + (-9)) \cdot (1\frac{3}{9} - 11 - (-8 - 1\frac{3}{12} - (-14)))=\textcolor{white}{-14\frac{5}{12}}$$return { ["body"] = 141, ["id"] = "7DyvcS_0120_0438", ["obtiznost"] = 1.29, ["reseni"] = { ["float"] = -14.416666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -173, ["jmenovatel"] = 12 }, ["render"] = "\\frac{-173}{12}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{5}{12}", ["x"] = -14, ["y"] = 5, ["z"] = 12 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.89", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "10 + (-9)", ["typ"] = "plus" }, ["render"] = "(10 + (-9))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{9} - 11", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "-8 - 1\\frac{3}{12}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-8 - 1\\frac{3}{12} - (-14)", ["typ"] = "minus" }, ["render"] = "(-8 - 1\\frac{3}{12} - (-14))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{9} - 11 - (-8 - 1\\frac{3}{12} - (-14))", ["typ"] = "minus" }, ["render"] = "(1\\frac{3}{9} - 11 - (-8 - 1\\frac{3}{12} - (-14)))", ["typ"] = "zavorka" }, ["render"] = "(10 + (-9)) \\cdot (1\\frac{3}{9} - 11 - (-8 - 1\\frac{3}{12} - (-14)))", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.9, bodu=175, $$16 + \frac{1\frac{2}{6}}{6 \cdot \frac{1\frac{4}{13}}{10 + 3\frac{4}{7}}}=\textcolor{white}{18\frac{328}{1071}}$$return { ["body"] = 175, ["id"] = "bSIWeF_0120_0438", ["obtiznost"] = 1.5, ["reseni"] = { ["float"] = 18.306255835668, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19606, ["jmenovatel"] = 1071 }, ["render"] = "\\frac{19606}{1071}", ["typ"] = "cislo" }, ["tex"] = "18\\frac{328}{1071}", ["x"] = 18, ["y"] = 328, ["z"] = 1071 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.9", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "10 + 3\\frac{4}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{4}{13}}{10 + 3\\frac{4}{7}}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot \\frac{1\\frac{4}{13}}{10 + 3\\frac{4}{7}}", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{2}{6}}{6 \\cdot \\frac{1\\frac{4}{13}}{10 + 3\\frac{4}{7}}}", ["typ"] = "lomeno" }, ["render"] = "16 + \\frac{1\\frac{2}{6}}{6 \\cdot \\frac{1\\frac{4}{13}}{10 + 3\\frac{4}{7}}}", ["typ"] = "plus" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.91, bodu=221, $$\frac{\frac{3\frac{3}{9} - (-20)}{15}}{-11 - (4\frac{2}{5} + (2\frac{2}{5} + (-4))^3)}=\textcolor{white}{-\frac{1750}{12717}}$$return { ["body"] = 221, ["id"] = "xLda7R_0120_0438", ["obtiznost"] = 1.7648, ["reseni"] = { ["float"] = -0.13761107179366, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1750, ["jmenovatel"] = 12717 }, ["render"] = "\\frac{1750}{-12717}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1750}{12717}", ["y"] = -1750, ["z"] = 12717 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} - (-20)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{9} - (-20)}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{5} + (-4)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(2\\frac{2}{5} + (-4))^3", ["typ"] = "mocnina" }, ["render"] = "4\\frac{2}{5} + (2\\frac{2}{5} + (-4))^3", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{5} + (2\\frac{2}{5} + (-4))^3)", ["typ"] = "zavorka" }, ["render"] = "-11 - (4\\frac{2}{5} + (2\\frac{2}{5} + (-4))^3)", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{3\\frac{3}{9} - (-20)}{15}}{-11 - (4\\frac{2}{5} + (2\\frac{2}{5} + (-4))^3)}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.92, bodu=178, $$\frac{1\frac{1}{10} - (-13)}{-17 + 3\frac{1}{4} - \frac{13}{3\frac{1}{7}}}=\textcolor{white}{-\frac{3102}{3935}}$$return { ["body"] = 178, ["id"] = "QxUvsb_0120_0438", ["obtiznost"] = 1.52, ["reseni"] = { ["float"] = -0.78831003811944, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3102, ["jmenovatel"] = 3935 }, ["render"] = "\\frac{6204}{-7870}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3102}{3935}", ["y"] = -3102, ["z"] = 3935 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{10} - (-13)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{3\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{4} - \\frac{13}{3\\frac{1}{7}}", ["typ"] = "minus" }, ["render"] = "-17 + 3\\frac{1}{4} - \\frac{13}{3\\frac{1}{7}}", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{1}{10} - (-13)}{-17 + 3\\frac{1}{4} - \\frac{13}{3\\frac{1}{7}}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.93, bodu=180, $$\frac{12 \cdot (4\frac{1}{10} - (-11)) + 4\frac{2}{7}}{18 - 3\frac{5}{12}}=\textcolor{white}{12\frac{4404}{6125}}$$return { ["body"] = 180, ["id"] = "52UPbz_0120_0438", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = 12.719020408163, ["objekt"] = { ["hodnota"] = { ["citatel"] = 77904, ["jmenovatel"] = 6125 }, ["render"] = "\\frac{77904}{6125}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{4404}{6125}", ["x"] = 12, ["y"] = 4404, ["z"] = 6125 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{10} - (-11)", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{10} - (-11))", ["typ"] = "zavorka" }, ["render"] = "12 \\cdot (4\\frac{1}{10} - (-11))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot (4\\frac{1}{10} - (-11)) + 4\\frac{2}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "18 - 3\\frac{5}{12}", ["typ"] = "minus" }, ["render"] = "\\frac{12 \\cdot (4\\frac{1}{10} - (-11)) + 4\\frac{2}{7}}{18 - 3\\frac{5}{12}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.94, bodu=149, $$3\frac{5}{8} \cdot (5 + \frac{4\frac{4}{12}}{-8} \cdot 18 - (-21))=\textcolor{white}{58\frac{29}{32}}$$return { ["body"] = 149, ["id"] = "6Rly97_0120_0438", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = 58.90625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1885, ["jmenovatel"] = 32 }, ["render"] = "\\frac{1885}{32}", ["typ"] = "cislo" }, ["tex"] = "58\\frac{29}{32}", ["x"] = 58, ["y"] = 29, ["z"] = 32 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.94", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{12}}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{12}}{-8} \\cdot 18", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{12}}{-8} \\cdot 18 - (-21)", ["typ"] = "minus" }, ["render"] = "5 + \\frac{4\\frac{4}{12}}{-8} \\cdot 18 - (-21)", ["typ"] = "plus" }, ["render"] = "(5 + \\frac{4\\frac{4}{12}}{-8} \\cdot 18 - (-21))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{5}{8} \\cdot (5 + \\frac{4\\frac{4}{12}}{-8} \\cdot 18 - (-21))", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.95, bodu=218, $$\frac{3\frac{4}{5} \cdot 2\frac{1}{6} \cdot -23 - 11}{1\frac{4}{10} - 4\frac{1}{4}}=\textcolor{white}{70\frac{52}{171}}$$return { ["body"] = 218, ["id"] = "4vLgvX_0120_0438", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = 70.304093567251, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12022, ["jmenovatel"] = 171 }, ["render"] = "\\frac{-120220}{-1710}", ["typ"] = "cislo" }, ["tex"] = "70\\frac{52}{171}", ["x"] = 70, ["y"] = 52, ["z"] = 171 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{5} \\cdot 2\\frac{1}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -23, ["jmenovatel"] = 1 }, ["render"] = "-23", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{5} \\cdot 2\\frac{1}{6} \\cdot -23", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{5} \\cdot 2\\frac{1}{6} \\cdot -23 - 11", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} - 4\\frac{1}{4}", ["typ"] = "minus" }, ["render"] = "\\frac{3\\frac{4}{5} \\cdot 2\\frac{1}{6} \\cdot -23 - 11}{1\\frac{4}{10} - 4\\frac{1}{4}}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.96, bodu=220, $$1\frac{3}{14} \cdot (\frac{\frac{-15}{2\frac{1}{6}}}{-5} + 2\frac{2}{9} + (-15) + 1\frac{2}{10})=\textcolor{white}{-12\frac{3091}{8190}}$$return { ["body"] = 220, ["id"] = "LXYuKi_0120_0438", ["obtiznost"] = 1.76, ["reseni"] = { ["float"] = -12.377411477411, ["objekt"] = { ["hodnota"] = { ["citatel"] = -101371, ["jmenovatel"] = 8190 }, ["render"] = "\\frac{-101371}{8190}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{3091}{8190}", ["x"] = -12, ["y"] = 3091, ["z"] = 8190 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.96", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 14 }, ["render"] = "1\\frac{3}{14}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{2\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-15}{2\\frac{1}{6}}}{-5}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{9} + (-15)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{9} + (-15) + 1\\frac{2}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-15}{2\\frac{1}{6}}}{-5} + 2\\frac{2}{9} + (-15) + 1\\frac{2}{10}", ["typ"] = "plus" }, ["render"] = "(\\frac{\\frac{-15}{2\\frac{1}{6}}}{-5} + 2\\frac{2}{9} + (-15) + 1\\frac{2}{10})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{14} \\cdot (\\frac{\\frac{-15}{2\\frac{1}{6}}}{-5} + 2\\frac{2}{9} + (-15) + 1\\frac{2}{10})", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.97, bodu=314, $$\frac{\frac{(3\frac{1}{6} - 4\frac{5}{6})^4 + 3\frac{2}{5} + 2\frac{4}{6}}{14}}{2\frac{1}{11} + (-21)}=\textcolor{white}{-\frac{30701}{589680}}$$return { ["body"] = 314, ["id"] = "oJgAfw_0120_0438", ["obtiznost"] = 2.2524, ["reseni"] = { ["float"] = -0.052063831230498, ["objekt"] = { ["hodnota"] = { ["citatel"] = -30701, ["jmenovatel"] = 589680 }, ["render"] = "\\frac{30701}{-589680}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{30701}{589680}", ["y"] = -30701, ["z"] = 589680 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} - 4\\frac{5}{6}", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(3\\frac{1}{6} - 4\\frac{5}{6})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{1}{6} - 4\\frac{5}{6})^4 + 3\\frac{2}{5}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{1}{6} - 4\\frac{5}{6})^4 + 3\\frac{2}{5} + 2\\frac{4}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{(3\\frac{1}{6} - 4\\frac{5}{6})^4 + 3\\frac{2}{5} + 2\\frac{4}{6}}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{11} + (-21)", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{(3\\frac{1}{6} - 4\\frac{5}{6})^4 + 3\\frac{2}{5} + 2\\frac{4}{6}}{14}}{2\\frac{1}{11} + (-21)}", ["typ"] = "lomeno" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.98, bodu=188, $$-8 \cdot 2\frac{4}{8} \cdot (2\frac{3}{8} + (-20) - (4\frac{2}{11} - (-15)))=\textcolor{white}{736\frac{3}{22}}$$return { ["body"] = 188, ["id"] = "EaAers_0120_0438", ["obtiznost"] = 1.58, ["reseni"] = { ["float"] = 736.13636363636, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16195, ["jmenovatel"] = 22 }, ["render"] = "\\frac{64780}{88}", ["typ"] = "cislo" }, ["tex"] = "736\\frac{3}{22}", ["x"] = 736, ["y"] = 3, ["z"] = 22 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 2\\frac{4}{8}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} + (-20)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{11} - (-15)", ["typ"] = "minus" }, ["render"] = "(4\\frac{2}{11} - (-15))", ["typ"] = "zavorka" }, ["render"] = "2\\frac{3}{8} + (-20) - (4\\frac{2}{11} - (-15))", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{8} + (-20) - (4\\frac{2}{11} - (-15)))", ["typ"] = "zavorka" }, ["render"] = "-8 \\cdot 2\\frac{4}{8} \\cdot (2\\frac{3}{8} + (-20) - (4\\frac{2}{11} - (-15)))", ["typ"] = "krat" } }

seed: 5zPYOybjvIRFVyH2PXWH_0.99, bodu=225, $$3\frac{3}{12} - (\frac{3\frac{2}{9} + 1\frac{1}{4}}{-17} - \frac{-9}{1\frac{2}{8}})=\textcolor{white}{-3\frac{1051}{1530}}$$return { ["body"] = 225, ["id"] = "Q2SBGd_0120_0438", ["obtiznost"] = 1.79, ["reseni"] = { ["float"] = -3.6869281045752, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5641, ["jmenovatel"] = 1530 }, ["render"] = "\\frac{-45128}{12240}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{1051}{1530}", ["x"] = -3, ["y"] = 1051, ["z"] = 1530 }, ["seed"] = "5zPYOybjvIRFVyH2PXWH_0.99", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{9} + 1\\frac{1}{4}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{9} + 1\\frac{1}{4}}{-17}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{1\\frac{2}{8}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{2}{9} + 1\\frac{1}{4}}{-17} - \\frac{-9}{1\\frac{2}{8}}", ["typ"] = "minus" }, ["render"] = "(\\frac{3\\frac{2}{9} + 1\\frac{1}{4}}{-17} - \\frac{-9}{1\\frac{2}{8}})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{3}{12} - (\\frac{3\\frac{2}{9} + 1\\frac{1}{4}}{-17} - \\frac{-9}{1\\frac{2}{8}})", ["typ"] = "minus" } }

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