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Nahodny test, priklady s rostouci obtiznosti...

seed: YHG1C6lknuGSeNx9zNlR_0, bodu=10, $$\frac{5}{-7 + 5 + 6}=\textcolor{white}{1{,}25}$$return { ["body"] = 10, ["id"] = "AyUosx_0508_1734", ["obtiznost"] = 0, ["reseni"] = { ["float"] = 1.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "\\frac{5}{4}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1}{4}", ["tex_float"] = "1{,}25", ["x"] = 1, ["y"] = 1, ["z"] = 4 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-7 + 5", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-7 + 5 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{5}{-7 + 5 + 6}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.01, bodu=25, $$9 \cdot (4 - (\frac{9}{2})^3)=\textcolor{white}{-784{,}125}$$return { ["body"] = 25, ["id"] = "3SYrUv_0508_1734", ["obtiznost"] = 0.3048, ["reseni"] = { ["float"] = -784.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6273, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-6273}{8}", ["typ"] = "cislo" }, ["tex"] = "-784\\frac{1}{8}", ["tex_float"] = "-784{,}125", ["x"] = -784, ["y"] = 1, ["z"] = 8 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.01", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{2}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{9}{2})^3", ["typ"] = "mocnina" }, ["render"] = "4 - (\\frac{9}{2})^3", ["typ"] = "minus" }, ["render"] = "(4 - (\\frac{9}{2})^3)", ["typ"] = "zavorka" }, ["render"] = "9 \\cdot (4 - (\\frac{9}{2})^3)", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.02, bodu=5, $$(9 - (6 + 7)) \cdot 11=\textcolor{white}{-44}$$return { ["body"] = 5, ["id"] = "makv85_0508_1734", ["obtiznost"] = 0.02, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -44, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-44}{1}", ["typ"] = "cislo" }, ["tex"] = "-44", ["x"] = -44 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.02", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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" }, ["render"] = "(6 + 7)", ["typ"] = "zavorka" }, ["render"] = "9 - (6 + 7)", ["typ"] = "minus" }, ["render"] = "(9 - (6 + 7))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(9 - (6 + 7)) \\cdot 11", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.03, bodu=11, $$8 \cdot ((\frac{6}{-7})^2 - 8)=\textcolor{white}{-58\frac{6}{49}}$$return { ["body"] = 11, ["id"] = "6O458h_0508_1734", ["obtiznost"] = 0.064, ["reseni"] = { ["float"] = -58.122448979592, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2848, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-2848}{49}", ["typ"] = "cislo" }, ["tex"] = "-58\\frac{6}{49}", ["x"] = -58, ["y"] = 6, ["z"] = 49 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(\\frac{6}{-7})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(\\frac{6}{-7})^2 - 8", ["typ"] = "minus" }, ["render"] = "((\\frac{6}{-7})^2 - 8)", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot ((\\frac{6}{-7})^2 - 8)", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.04, bodu=10, $$\frac{5}{7} \cdot 4=\textcolor{white}{2\frac{6}{7}}$$return { ["body"] = 10, ["id"] = "xkEEJq_0508_1734", ["obtiznost"] = 0.04, ["reseni"] = { ["float"] = 2.8571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 7 }, ["render"] = "\\frac{20}{7}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{6}{7}", ["x"] = 2, ["y"] = 6, ["z"] = 7 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.04", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{7} \\cdot 4", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.05, bodu=11, $$\frac{\frac{10}{5}}{-6}=\textcolor{white}{-\frac{1}{3}}$$return { ["body"] = 11, ["id"] = "ho7Km3_0508_1734", ["obtiznost"] = 0.05, ["reseni"] = { ["float"] = -0.33333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 3 }, ["render"] = "\\frac{2}{-6}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{3}", ["y"] = -1, ["z"] = 3 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.05", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{10}{5}}{-6}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.06, bodu=11, $$5 - 6 - \frac{2}{-6}=\textcolor{white}{-\frac{2}{3}}$$return { ["body"] = 11, ["id"] = "nOXguj_0508_1734", ["obtiznost"] = 0.06, ["reseni"] = { ["float"] = -0.66666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-2}{3}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2}{3}", ["y"] = -2, ["z"] = 3 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 - 6", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{2}{-6}", ["typ"] = "lomeno" }, ["render"] = "5 - 6 - \\frac{2}{-6}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.07, bodu=26, $$(\frac{-10}{5} + 7)^4 \cdot 7=\textcolor{white}{4375}$$return { ["body"] = 26, ["id"] = "LEis75_0508_1734", ["obtiznost"] = 0.3204, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 4375, ["jmenovatel"] = 1 }, ["render"] = "\\frac{4375}{1}", ["typ"] = "cislo" }, ["tex"] = "4375", ["tex_float"] = "4375", ["x"] = 4375 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.07", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{5} + 7", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-10}{5} + 7)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(\\frac{-10}{5} + 7)^4 \\cdot 7", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.08, bodu=12, $$\frac{4}{7 \cdot 9}=\textcolor{white}{\frac{4}{63}}$$return { ["body"] = 12, ["id"] = "pMvHQk_0508_1734", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = 0.063492063492063, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 63 }, ["render"] = "\\frac{4}{63}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4}{63}", ["y"] = 4, ["z"] = 63 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{4}{7 \\cdot 9}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.09, bodu=15, $$-9 + 9 + (6 + 11 + 10)^2=\textcolor{white}{729}$$return { ["body"] = 15, ["id"] = "PZCovn_0508_1734", ["obtiznost"] = 0.382, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 729, ["jmenovatel"] = 1 }, ["render"] = "\\frac{729}{1}", ["typ"] = "cislo" }, ["tex"] = "729", ["x"] = 729 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.09", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-9 + 9", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["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"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(6 + 11 + 10)^2", ["typ"] = "mocnina" }, ["render"] = "-9 + 9 + (6 + 11 + 10)^2", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.1, bodu=6, $$6 - 6 \cdot -5 - 8=\textcolor{white}{28}$$return { ["body"] = 6, ["id"] = "amYjwE_0508_1734", ["obtiznost"] = 0.1, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 1 }, ["render"] = "\\frac{28}{1}", ["typ"] = "cislo" }, ["tex"] = "28", ["x"] = 28 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "6 \\cdot -5", ["typ"] = "krat" }, ["render"] = "6 - 6 \\cdot -5", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "6 - 6 \\cdot -5 - 8", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.11, bodu=25, $$5 + (-6) - 3\frac{4}{7} - 10=\textcolor{white}{-14\frac{4}{7}}$$return { ["body"] = 25, ["id"] = "X2nem0_0508_1734", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = -14.571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -102, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-102}{7}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{4}{7}", ["x"] = -14, ["y"] = 4, ["z"] = 7 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "5 + (-6)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "5 + (-6) - 3\\frac{4}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "5 + (-6) - 3\\frac{4}{7} - 10", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.12, bodu=26, $$\frac{2}{8 + 10 - 1\frac{5}{8}}=\textcolor{white}{\frac{16}{131}}$$return { ["body"] = 26, ["id"] = "px49An_0508_1734", ["obtiznost"] = 0.32, ["reseni"] = { ["float"] = 0.12213740458015, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 131 }, ["render"] = "\\frac{16}{131}", ["typ"] = "cislo" }, ["tex"] = "\\frac{16}{131}", ["y"] = 16, ["z"] = 131 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.12", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "8 + 10 - 1\\frac{5}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{2}{8 + 10 - 1\\frac{5}{8}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.13, bodu=7, $$-9 \cdot 11 + (8 - 6)^4=\textcolor{white}{-83}$$return { ["body"] = 7, ["id"] = "xGyaQk_0508_1734", ["obtiznost"] = 0.1368, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -83, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-83}{1}", ["typ"] = "cislo" }, ["tex"] = "-83", ["tex_float"] = "-83", ["x"] = -83 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.13", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "8 - 6", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(8 - 6)^4", ["typ"] = "mocnina" }, ["render"] = "-9 \\cdot 11 + (8 - 6)^4", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.14, bodu=7, $$-5 \cdot -5 \cdot 7=\textcolor{white}{175}$$return { ["body"] = 7, ["id"] = "dfchKJ_0508_1734", ["obtiznost"] = 0.14, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 175, ["jmenovatel"] = 1 }, ["render"] = "\\frac{175}{1}", ["typ"] = "cislo" }, ["tex"] = "175", ["x"] = 175 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 7", ["typ"] = "krat" }, ["render"] = "-5 \\cdot -5 \\cdot 7", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.15, bodu=28, $$(3 + 4 + 3\frac{1}{5}) \cdot 12=\textcolor{white}{122{,}4}$$return { ["body"] = 28, ["id"] = "Rf0DHu_0508_1734", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = 122.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 612, ["jmenovatel"] = 5 }, ["render"] = "\\frac{612}{5}", ["typ"] = "cislo" }, ["tex"] = "122\\frac{2}{5}", ["tex_float"] = "122{,}4", ["x"] = 122, ["y"] = 2, ["z"] = 5 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.15", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "4 + 3\\frac{1}{5}", ["typ"] = "plus" }, ["render"] = "3 + 4 + 3\\frac{1}{5}", ["typ"] = "plus" }, ["render"] = "(3 + 4 + 3\\frac{1}{5})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(3 + 4 + 3\\frac{1}{5}) \\cdot 12", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.16, bodu=14, $$(6 + 6 + 10)^2 \cdot 7=\textcolor{white}{3388}$$return { ["body"] = 14, ["id"] = "bhu9Q6_0508_1734", ["obtiznost"] = 0.354, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 3388, ["jmenovatel"] = 1 }, ["render"] = "\\frac{3388}{1}", ["typ"] = "cislo" }, ["tex"] = "3388", ["x"] = 3388 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.16", ["zadani"] = { ["c1"] = { ["c"] = { ["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"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "6 + 6 + 10", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(6 + 6 + 10)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(6 + 6 + 10)^2 \\cdot 7", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.17, bodu=16, $$\frac{5}{\frac{9}{5 - (-6)}}=\textcolor{white}{6\frac{1}{9}}$$return { ["body"] = 16, ["id"] = "k8GVxd_0508_1734", ["obtiznost"] = 0.17, ["reseni"] = { ["float"] = 6.1111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55, ["jmenovatel"] = 9 }, ["render"] = "\\frac{55}{9}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{1}{9}", ["x"] = 6, ["y"] = 1, ["z"] = 9 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.17", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "5 - (-6)", ["typ"] = "minus" }, ["render"] = "\\frac{9}{5 - (-6)}", ["typ"] = "lomeno" }, ["render"] = "\\frac{5}{\\frac{9}{5 - (-6)}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.18, bodu=16, $$\frac{6}{5} - (10 - 8)=\textcolor{white}{-0{,}8}$$return { ["body"] = 16, ["id"] = "ju1kyL_0508_1734", ["obtiznost"] = 0.18, ["reseni"] = { ["float"] = -0.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-4}{5}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{4}{5}", ["tex_float"] = "-0{,}8", ["y"] = -4, ["z"] = 5 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 - 8", ["typ"] = "minus" }, ["render"] = "(10 - 8)", ["typ"] = "zavorka" }, ["render"] = "\\frac{6}{5} - (10 - 8)", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.19, bodu=17, $$\frac{-6}{\frac{3}{-7}}=\textcolor{white}{14}$$return { ["body"] = 17, ["id"] = "7EtPEw_0508_1734", ["obtiznost"] = 0.19, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-42}{-3}", ["typ"] = "cislo" }, ["tex"] = "14", ["tex_float"] = "14", ["x"] = 14 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{-7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-6}{\\frac{3}{-7}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.2, bodu=18, $$\frac{10 - \frac{13}{-10}}{9 + (-5)}=\textcolor{white}{2{,}825}$$return { ["body"] = 18, ["id"] = "7jq5rx_0508_1734", ["obtiznost"] = 0.2, ["reseni"] = { ["float"] = 2.825, ["objekt"] = { ["hodnota"] = { ["citatel"] = 113, ["jmenovatel"] = 40 }, ["render"] = "\\frac{113}{40}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{33}{40}", ["tex_float"] = "2{,}825", ["x"] = 2, ["y"] = 33, ["z"] = 40 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.2", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-10}", ["typ"] = "lomeno" }, ["render"] = "10 - \\frac{13}{-10}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "9 + (-5)", ["typ"] = "plus" }, ["render"] = "\\frac{10 - \\frac{13}{-10}}{9 + (-5)}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.21, bodu=46, $$(-8 + 4\frac{3}{6})^3 - (\frac{-8}{-8} - 7)=\textcolor{white}{-36{,}875}$$return { ["body"] = 46, ["id"] = "cQ7pS2_0508_1734", ["obtiznost"] = 0.5504, ["reseni"] = { ["float"] = -36.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -295, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-295}{8}", ["typ"] = "cislo" }, ["tex"] = "-36\\frac{7}{8}", ["tex_float"] = "-36{,}875", ["x"] = -36, ["y"] = 7, ["z"] = 8 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.21", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-8 + 4\\frac{3}{6}", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-8 + 4\\frac{3}{6})^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-8} - 7", ["typ"] = "minus" }, ["render"] = "(\\frac{-8}{-8} - 7)", ["typ"] = "zavorka" }, ["render"] = "(-8 + 4\\frac{3}{6})^3 - (\\frac{-8}{-8} - 7)", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.22, bodu=19, $$\frac{5}{-9 \cdot 14 + 14}=\textcolor{white}{-\frac{5}{112}}$$return { ["body"] = 19, ["id"] = "eNOJy6_0508_1734", ["obtiznost"] = 0.22, ["reseni"] = { ["float"] = -0.044642857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 112 }, ["render"] = "\\frac{5}{-112}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{5}{112}", ["y"] = -5, ["z"] = 112 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.22", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 14 + 14", ["typ"] = "plus" }, ["render"] = "\\frac{5}{-9 \\cdot 14 + 14}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.23, bodu=19, $$(11 + \frac{-9}{9}) \cdot (9 + 8)=\textcolor{white}{170}$$return { ["body"] = 19, ["id"] = "IiHVY6_0508_1734", ["obtiznost"] = 0.23, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 170, ["jmenovatel"] = 1 }, ["render"] = "\\frac{170}{1}", ["typ"] = "cislo" }, ["tex"] = "170", ["tex_float"] = "170", ["x"] = 170 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.23", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{9}", ["typ"] = "lomeno" }, ["render"] = "11 + \\frac{-9}{9}", ["typ"] = "plus" }, ["render"] = "(11 + \\frac{-9}{9})", ["typ"] = "zavorka" }, ["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"] = "(11 + \\frac{-9}{9}) \\cdot (9 + 8)", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.24, bodu=10, $$(-8 + 5)^3 \cdot -6 \cdot -7=\textcolor{white}{-1134}$$return { ["body"] = 10, ["id"] = "zi7VDs_0508_1734", ["obtiznost"] = 0.2512, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1134, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1134}{1}", ["typ"] = "cislo" }, ["tex"] = "-1134", ["x"] = -1134 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.24", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-8 + 5", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-8 + 5)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "(-8 + 5)^3 \\cdot -6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(-8 + 5)^3 \\cdot -6 \\cdot -7", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.25, bodu=10, $$13 - (-3) - 10 \cdot -9=\textcolor{white}{106}$$return { ["body"] = 10, ["id"] = "OY9GAp_0508_1734", ["obtiznost"] = 0.25, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 106, ["jmenovatel"] = 1 }, ["render"] = "\\frac{106}{1}", ["typ"] = "cislo" }, ["tex"] = "106", ["tex_float"] = "106", ["x"] = 106 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "13 - (-3)", ["typ"] = "minus" }, ["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"] = "13 - (-3) - 10 \\cdot -9", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.26, bodu=11, $$11 + (8 - 10)^4 - (9 - (-10))=\textcolor{white}{8}$$return { ["body"] = 11, ["id"] = "zL0k3q_0508_1734", ["obtiznost"] = 0.2668, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "\\frac{8}{1}", ["typ"] = "cislo" }, ["tex"] = "8", ["tex_float"] = "8", ["x"] = 8 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 - 10", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(8 - 10)^4", ["typ"] = "mocnina" }, ["c2"] = { ["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" }, ["render"] = "(8 - 10)^4 - (9 - (-10))", ["typ"] = "minus" }, ["render"] = "11 + (8 - 10)^4 - (9 - (-10))", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.27, bodu=22, $$(11 + 6) \cdot \frac{10}{7}=\textcolor{white}{24\frac{2}{7}}$$return { ["body"] = 22, ["id"] = "r6NyUw_0508_1734", ["obtiznost"] = 0.27, ["reseni"] = { ["float"] = 24.285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 170, ["jmenovatel"] = 7 }, ["render"] = "\\frac{170}{7}", ["typ"] = "cislo" }, ["tex"] = "24\\frac{2}{7}", ["x"] = 24, ["y"] = 2, ["z"] = 7 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.27", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "11 + 6", ["typ"] = "plus" }, ["render"] = "(11 + 6)", ["typ"] = "zavorka" }, ["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"] = "(11 + 6) \\cdot \\frac{10}{7}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.28, bodu=27, $$(\frac{-10}{(10 - 12)^2})^3 \cdot 10=\textcolor{white}{-156{,}25}$$return { ["body"] = 27, ["id"] = "QlM0bs_0508_1734", ["obtiznost"] = 0.3352, ["reseni"] = { ["float"] = -156.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = -625, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-1250}{8}", ["typ"] = "cislo" }, ["tex"] = "-156\\frac{1}{4}", ["tex_float"] = "-156{,}25", ["x"] = -156, ["y"] = 1, ["z"] = 4 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.28", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "10 - 12", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(10 - 12)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-10}{(10 - 12)^2}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-10}{(10 - 12)^2})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(\\frac{-10}{(10 - 12)^2})^3 \\cdot 10", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.29, bodu=40, $$\frac{-6 + \frac{-10}{2\frac{2}{6}}}{3 + 11}=\textcolor{white}{-\frac{36}{49}}$$return { ["body"] = 40, ["id"] = "ASFDLe_0508_1734", ["obtiznost"] = 0.49, ["reseni"] = { ["float"] = -0.73469387755102, ["objekt"] = { ["hodnota"] = { ["citatel"] = -36, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-72}{98}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{36}{49}", ["y"] = -36, ["z"] = 49 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.29", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{2\\frac{2}{6}}", ["typ"] = "lomeno" }, ["render"] = "-6 + \\frac{-10}{2\\frac{2}{6}}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3 + 11", ["typ"] = "plus" }, ["render"] = "\\frac{-6 + \\frac{-10}{2\\frac{2}{6}}}{3 + 11}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.3, bodu=41, $$8 - \frac{7}{\frac{9}{4\frac{1}{5}}}=\textcolor{white}{4\frac{11}{15}}$$return { ["body"] = 41, ["id"] = "UK3I4p_0508_1734", ["obtiznost"] = 0.5, ["reseni"] = { ["float"] = 4.7333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 71, ["jmenovatel"] = 15 }, ["render"] = "\\frac{71}{15}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{11}{15}", ["x"] = 4, ["y"] = 11, ["z"] = 15 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.3", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{4\\frac{1}{5}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7}{\\frac{9}{4\\frac{1}{5}}}", ["typ"] = "lomeno" }, ["render"] = "8 - \\frac{7}{\\frac{9}{4\\frac{1}{5}}}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.31, bodu=25, $$\frac{-7}{-11 \cdot 7 \cdot -10}=\textcolor{white}{-\frac{1}{110}}$$return { ["body"] = 25, ["id"] = "JkY10x_0508_1734", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = -0.0090909090909091, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 110 }, ["render"] = "\\frac{-7}{770}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{110}", ["y"] = -1, ["z"] = 110 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.31", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "7 \\cdot -10", ["typ"] = "krat" }, ["render"] = "-11 \\cdot 7 \\cdot -10", ["typ"] = "krat" }, ["render"] = "\\frac{-7}{-11 \\cdot 7 \\cdot -10}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.32, bodu=43, $$\frac{6}{1\frac{5}{8}} + 4 \cdot 10=\textcolor{white}{43\frac{9}{13}}$$return { ["body"] = 43, ["id"] = "E3c6qe_0508_1734", ["obtiznost"] = 0.52, ["reseni"] = { ["float"] = 43.692307692308, ["objekt"] = { ["hodnota"] = { ["citatel"] = 568, ["jmenovatel"] = 13 }, ["render"] = "\\frac{568}{13}", ["typ"] = "cislo" }, ["tex"] = "43\\frac{9}{13}", ["x"] = 43, ["y"] = 9, ["z"] = 13 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{1\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{6}{1\\frac{5}{8}} + 4 \\cdot 10", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.33, bodu=47, $$\frac{-9}{9 + (6 \cdot 4)^2}=\textcolor{white}{-\frac{1}{65}}$$return { ["body"] = 47, ["id"] = "B3Trzv_0508_1734", ["obtiznost"] = 0.5608, ["reseni"] = { ["float"] = -0.015384615384615, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 65 }, ["render"] = "\\frac{-9}{585}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{65}", ["y"] = -1, ["z"] = 65 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.33", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(6 \\cdot 4)^2", ["typ"] = "mocnina" }, ["render"] = "9 + (6 \\cdot 4)^2", ["typ"] = "plus" }, ["render"] = "\\frac{-9}{9 + (6 \\cdot 4)^2}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.34, bodu=45, $$(4\frac{5}{9} - 7) \cdot 9 \cdot -8=\textcolor{white}{176}$$return { ["body"] = 45, ["id"] = "xJnueD_0508_1734", ["obtiznost"] = 0.54, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 176, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1584}{9}", ["typ"] = "cislo" }, ["tex"] = "176", ["x"] = 176 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.34", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{9} - 7", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{9} - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["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" }, ["render"] = "(4\\frac{5}{9} - 7) \\cdot 9 \\cdot -8", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.35, bodu=14, $$5 - 9 \cdot -5 + 9 + 13=\textcolor{white}{72}$$return { ["body"] = 14, ["id"] = "AFQEYz_0508_1734", ["obtiznost"] = 0.35, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 72, ["jmenovatel"] = 1 }, ["render"] = "\\frac{72}{1}", ["typ"] = "cislo" }, ["tex"] = "72", ["tex_float"] = "72", ["x"] = 72 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.35", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -5", ["typ"] = "krat" }, ["render"] = "5 - 9 \\cdot -5", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "9 + 13", ["typ"] = "plus" }, ["render"] = "5 - 9 \\cdot -5 + 9 + 13", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.36, bodu=47, $$-10 + 13 \cdot \frac{3\frac{2}{4}}{13}=\textcolor{white}{-6{,}5}$$return { ["body"] = 47, ["id"] = "PnO8ut_0508_1734", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = -6.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-13}{2}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{1}{2}", ["tex_float"] = "-6{,}5", ["x"] = -6, ["y"] = 1, ["z"] = 2 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.36", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{4}}{13}", ["typ"] = "lomeno" }, ["render"] = "13 \\cdot \\frac{3\\frac{2}{4}}{13}", ["typ"] = "krat" }, ["render"] = "-10 + 13 \\cdot \\frac{3\\frac{2}{4}}{13}", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.37, bodu=48, $$8 \cdot -13 \cdot (3\frac{5}{8} + (-9) - 4)=\textcolor{white}{975}$$return { ["body"] = 48, ["id"] = "ziiVSt_0508_1734", ["obtiznost"] = 0.57, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 975, ["jmenovatel"] = 1 }, ["render"] = "\\frac{7800}{8}", ["typ"] = "cislo" }, ["tex"] = "975", ["tex_float"] = "975", ["x"] = 975 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.37", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{8} + (-9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{8} + (-9) - 4", ["typ"] = "minus" }, ["render"] = "(3\\frac{5}{8} + (-9) - 4)", ["typ"] = "zavorka" }, ["render"] = "-13 \\cdot (3\\frac{5}{8} + (-9) - 4)", ["typ"] = "krat" }, ["render"] = "8 \\cdot -13 \\cdot (3\\frac{5}{8} + (-9) - 4)", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.38, bodu=31, $$-8 - \frac{5}{-13 \cdot 6}=\textcolor{white}{-7\frac{73}{78}}$$return { ["body"] = 31, ["id"] = "0OtqkB_0508_1734", ["obtiznost"] = 0.38, ["reseni"] = { ["float"] = -7.9358974358974, ["objekt"] = { ["hodnota"] = { ["citatel"] = -619, ["jmenovatel"] = 78 }, ["render"] = "\\frac{-619}{78}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{73}{78}", ["x"] = -7, ["y"] = 73, ["z"] = 78 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{5}{-13 \\cdot 6}", ["typ"] = "lomeno" }, ["render"] = "-8 - \\frac{5}{-13 \\cdot 6}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.39, bodu=31, $$\frac{-10 - \frac{4}{11}}{13}=\textcolor{white}{-\frac{114}{143}}$$return { ["body"] = 31, ["id"] = "o8PhQe_0508_1734", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = -0.7972027972028, ["objekt"] = { ["hodnota"] = { ["citatel"] = -114, ["jmenovatel"] = 143 }, ["render"] = "\\frac{-114}{143}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{114}{143}", ["y"] = -114, ["z"] = 143 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{11}", ["typ"] = "lomeno" }, ["render"] = "-10 - \\frac{4}{11}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 - \\frac{4}{11}}{13}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.4, bodu=100, $$(-11 + 2\frac{4}{9} + (\frac{7}{7})^3) \cdot (1\frac{2}{6} + 4\frac{3}{8})=\textcolor{white}{-43\frac{7}{54}}$$return { ["body"] = 100, ["id"] = "6OxkmD_0508_1734", ["obtiznost"] = 1.0008, ["reseni"] = { ["float"] = -43.12962962963, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2329, ["jmenovatel"] = 54 }, ["render"] = "\\frac{-9316}{216}", ["typ"] = "cislo" }, ["tex"] = "-43\\frac{7}{54}", ["x"] = -43, ["y"] = 7, ["z"] = 54 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.4", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "-11 + 2\\frac{4}{9}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{7}{7})^3", ["typ"] = "mocnina" }, ["render"] = "-11 + 2\\frac{4}{9} + (\\frac{7}{7})^3", ["typ"] = "plus" }, ["render"] = "(-11 + 2\\frac{4}{9} + (\\frac{7}{7})^3)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} + 4\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{6} + 4\\frac{3}{8})", ["typ"] = "zavorka" }, ["render"] = "(-11 + 2\\frac{4}{9} + (\\frac{7}{7})^3) \\cdot (1\\frac{2}{6} + 4\\frac{3}{8})", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.41, bodu=75, $$(7 + (-9)) \cdot 5 \cdot 1\frac{1}{5} \cdot 2\frac{4}{7}=\textcolor{white}{-30\frac{6}{7}}$$return { ["body"] = 75, ["id"] = "H2lo27_0508_1734", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = -30.857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -216, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-216}{7}", ["typ"] = "cislo" }, ["tex"] = "-30\\frac{6}{7}", ["x"] = -30, ["y"] = 6, ["z"] = 7 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "7 + (-9)", ["typ"] = "plus" }, ["render"] = "(7 + (-9))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 1\\frac{1}{5}", ["typ"] = "krat" }, ["render"] = "(7 + (-9)) \\cdot 5 \\cdot 1\\frac{1}{5}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "(7 + (-9)) \\cdot 5 \\cdot 1\\frac{1}{5} \\cdot 2\\frac{4}{7}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.42, bodu=53, $$\frac{12 - (-10) + 11}{-10 - 4\frac{1}{6}}=\textcolor{white}{-2\frac{28}{85}}$$return { ["body"] = 53, ["id"] = "uWJNWw_0508_1734", ["obtiznost"] = 0.62, ["reseni"] = { ["float"] = -2.3294117647059, ["objekt"] = { ["hodnota"] = { ["citatel"] = -198, ["jmenovatel"] = 85 }, ["render"] = "\\frac{198}{-85}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{28}{85}", ["x"] = -2, ["y"] = 28, ["z"] = 85 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "12 - (-10)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "12 - (-10) + 11", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-10 - 4\\frac{1}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{12 - (-10) + 11}{-10 - 4\\frac{1}{6}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.43, bodu=55, $$-12 - \frac{16 \cdot 14}{3\frac{3}{9}} + 8=\textcolor{white}{-71{,}2}$$return { ["body"] = 55, ["id"] = "pERlJE_0508_1734", ["obtiznost"] = 0.63, ["reseni"] = { ["float"] = -71.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -356, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-356}{5}", ["typ"] = "cislo" }, ["tex"] = "-71\\frac{1}{5}", ["tex_float"] = "-71{,}2", ["x"] = -71, ["y"] = 1, ["z"] = 5 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{16 \\cdot 14}{3\\frac{3}{9}}", ["typ"] = "lomeno" }, ["render"] = "-12 - \\frac{16 \\cdot 14}{3\\frac{3}{9}}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-12 - \\frac{16 \\cdot 14}{3\\frac{3}{9}} + 8", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.44, bodu=92, $$(\frac{4\frac{4}{8}}{12})^2 - (12 + 5 - (-9))^2=\textcolor{white}{-675\frac{55}{64}}$$return { ["body"] = 92, ["id"] = "eMwrz3_0508_1734", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = -675.859375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -43255, ["jmenovatel"] = 64 }, ["render"] = "\\frac{-43255}{64}", ["typ"] = "cislo" }, ["tex"] = "-675\\frac{55}{64}", ["x"] = -675, ["y"] = 55, ["z"] = 64 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.44", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8}}{12}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{4\\frac{4}{8}}{12})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "5 - (-9)", ["typ"] = "minus" }, ["render"] = "12 + 5 - (-9)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(12 + 5 - (-9))^2", ["typ"] = "mocnina" }, ["render"] = "(\\frac{4\\frac{4}{8}}{12})^2 - (12 + 5 - (-9))^2", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.45, bodu=95, $$\frac{3\frac{1}{4}}{(14 + 3)^2} + \frac{4\frac{5}{10}}{-11}=\textcolor{white}{-\frac{5059}{12716}}$$return { ["body"] = 95, ["id"] = "NDcqI2_0508_1734", ["obtiznost"] = 0.966, ["reseni"] = { ["float"] = -0.39784523435042, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5059, ["jmenovatel"] = 12716 }, ["render"] = "\\frac{-10118}{25432}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{5059}{12716}", ["y"] = -5059, ["z"] = 12716 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "14 + 3", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(14 + 3)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{3\\frac{1}{4}}{(14 + 3)^2}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{10}}{-11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{1}{4}}{(14 + 3)^2} + \\frac{4\\frac{5}{10}}{-11}", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.46, bodu=63, $$12 + (-9 + 14)^3 - 4\frac{5}{9} \cdot 14 - 6=\textcolor{white}{67\frac{2}{9}}$$return { ["body"] = 63, ["id"] = "WQdM43_0508_1734", ["obtiznost"] = 0.7104, ["reseni"] = { ["float"] = 67.222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 605, ["jmenovatel"] = 9 }, ["render"] = "\\frac{605}{9}", ["typ"] = "cislo" }, ["tex"] = "67\\frac{2}{9}", ["x"] = 67, ["y"] = 2, ["z"] = 9 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-9 + 14", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-9 + 14)^3", ["typ"] = "mocnina" }, ["render"] = "12 + (-9 + 14)^3", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{9} \\cdot 14", ["typ"] = "krat" }, ["render"] = "12 + (-9 + 14)^3 - 4\\frac{5}{9} \\cdot 14", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "12 + (-9 + 14)^3 - 4\\frac{5}{9} \\cdot 14 - 6", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.47, bodu=83, $$3\frac{5}{8} \cdot \frac{-11}{-4 \cdot 3\frac{4}{9} + (-18)}=\textcolor{white}{1\frac{53}{208}}$$return { ["body"] = 83, ["id"] = "3PjIYz_0508_1734", ["obtiznost"] = 0.87, ["reseni"] = { ["float"] = 1.2548076923077, ["objekt"] = { ["hodnota"] = { ["citatel"] = 261, ["jmenovatel"] = 208 }, ["render"] = "\\frac{261}{208}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{53}{208}", ["x"] = 1, ["y"] = 53, ["z"] = 208 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot 3\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot 3\\frac{4}{9} + (-18)", ["typ"] = "plus" }, ["render"] = "\\frac{-11}{-4 \\cdot 3\\frac{4}{9} + (-18)}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{5}{8} \\cdot \\frac{-11}{-4 \\cdot 3\\frac{4}{9} + (-18)}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.48, bodu=40, $$(\frac{(-7 - (-10))^3}{3} - 16) \cdot -7=\textcolor{white}{49}$$return { ["body"] = 40, ["id"] = "99UbDp_0508_1734", ["obtiznost"] = 0.4912, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 1 }, ["render"] = "\\frac{49}{1}", ["typ"] = "cislo" }, ["tex"] = "49", ["tex_float"] = "49", ["x"] = 49 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.48", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-7 - (-10)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-7 - (-10))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{(-7 - (-10))^3}{3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{(-7 - (-10))^3}{3} - 16", ["typ"] = "minus" }, ["render"] = "(\\frac{(-7 - (-10))^3}{3} - 16)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(\\frac{(-7 - (-10))^3}{3} - 16) \\cdot -7", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.49, bodu=61, $$\frac{-9 + (-9)}{-5 - 4\frac{5}{6}} - 7=\textcolor{white}{-5\frac{10}{59}}$$return { ["body"] = 61, ["id"] = "2CHdaO_0508_1734", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = -5.1694915254237, ["objekt"] = { ["hodnota"] = { ["citatel"] = -305, ["jmenovatel"] = 59 }, ["render"] = "\\frac{-305}{59}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{10}{59}", ["x"] = -5, ["y"] = 10, ["z"] = 59 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-9 + (-9)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "-5 - 4\\frac{5}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{-9 + (-9)}{-5 - 4\\frac{5}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 + (-9)}{-5 - 4\\frac{5}{6}} - 7", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.5, bodu=86, $$2\frac{5}{8} - (-13) - (-14 + 17 - (11 - 3\frac{2}{9}))=\textcolor{white}{20\frac{29}{72}}$$return { ["body"] = 86, ["id"] = "psP6K1_0508_1734", ["obtiznost"] = 0.9, ["reseni"] = { ["float"] = 20.402777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1469, ["jmenovatel"] = 72 }, ["render"] = "\\frac{1469}{72}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{29}{72}", ["x"] = 20, ["y"] = 29, ["z"] = 72 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{8} - (-13)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "-14 + 17", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "11 - 3\\frac{2}{9}", ["typ"] = "minus" }, ["render"] = "(11 - 3\\frac{2}{9})", ["typ"] = "zavorka" }, ["render"] = "-14 + 17 - (11 - 3\\frac{2}{9})", ["typ"] = "minus" }, ["render"] = "(-14 + 17 - (11 - 3\\frac{2}{9}))", ["typ"] = "zavorka" }, ["render"] = "2\\frac{5}{8} - (-13) - (-14 + 17 - (11 - 3\\frac{2}{9}))", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.51, bodu=174, $$4\frac{4}{9} - (\frac{(2\frac{2}{8} - 1\frac{5}{9}) \cdot 2\frac{2}{5}}{7})^2=\textcolor{white}{4\frac{19}{49}}$$return { ["body"] = 174, ["id"] = "XTC3Fl_0508_1734", ["obtiznost"] = 1.4964, ["reseni"] = { ["float"] = 4.3877551020408, ["objekt"] = { ["hodnota"] = { ["citatel"] = 215, ["jmenovatel"] = 49 }, ["render"] = "\\frac{17415}{3969}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{19}{49}", ["x"] = 4, ["y"] = 19, ["z"] = 49 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.51", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{8} - 1\\frac{5}{9}", ["typ"] = "minus" }, ["render"] = "(2\\frac{2}{8} - 1\\frac{5}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "(2\\frac{2}{8} - 1\\frac{5}{9}) \\cdot 2\\frac{2}{5}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{(2\\frac{2}{8} - 1\\frac{5}{9}) \\cdot 2\\frac{2}{5}}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{(2\\frac{2}{8} - 1\\frac{5}{9}) \\cdot 2\\frac{2}{5}}{7})^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{9} - (\\frac{(2\\frac{2}{8} - 1\\frac{5}{9}) \\cdot 2\\frac{2}{5}}{7})^2", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.52, bodu=89, $$3\frac{3}{6} + (-12) - 1\frac{3}{8} \cdot \frac{-9}{-17}=\textcolor{white}{-9\frac{31}{136}}$$return { ["body"] = 89, ["id"] = "gOEaqQ_0508_1734", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = -9.2279411764706, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1255, ["jmenovatel"] = 136 }, ["render"] = "\\frac{-2510}{272}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{31}{136}", ["x"] = -9, ["y"] = 31, ["z"] = 136 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{6} + (-12)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{-17}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{3}{8} \\cdot \\frac{-9}{-17}", ["typ"] = "krat" }, ["render"] = "3\\frac{3}{6} + (-12) - 1\\frac{3}{8} \\cdot \\frac{-9}{-17}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.53, bodu=66, $$\frac{\frac{-10}{12}}{5 + \frac{7}{3\frac{3}{10}}}=\textcolor{white}{-\frac{11}{94}}$$return { ["body"] = 66, ["id"] = "Jh0vJO_0508_1734", ["obtiznost"] = 0.73, ["reseni"] = { ["float"] = -0.11702127659574, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 94 }, ["render"] = "\\frac{-165}{1410}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{11}{94}", ["y"] = -11, ["z"] = 94 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.53", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{12}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{3\\frac{3}{10}}", ["typ"] = "lomeno" }, ["render"] = "5 + \\frac{7}{3\\frac{3}{10}}", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-10}{12}}{5 + \\frac{7}{3\\frac{3}{10}}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.54, bodu=103, $$(\frac{-5}{(7 - 7)^3 + 3})^4 + (-7) - 2\frac{4}{6}=\textcolor{white}{-1\frac{77}{81}}$$return { ["body"] = 103, ["id"] = "g7OAr6_0508_1734", ["obtiznost"] = 1.0228, ["reseni"] = { ["float"] = -1.9506172839506, ["objekt"] = { ["hodnota"] = { ["citatel"] = -158, ["jmenovatel"] = 81 }, ["render"] = "\\frac{-474}{243}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{77}{81}", ["x"] = -1, ["y"] = 77, ["z"] = 81 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(7 - 7)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "(7 - 7)^3 + 3", ["typ"] = "plus" }, ["render"] = "\\frac{-5}{(7 - 7)^3 + 3}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-5}{(7 - 7)^3 + 3})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(\\frac{-5}{(7 - 7)^3 + 3})^4 + (-7)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "(\\frac{-5}{(7 - 7)^3 + 3})^4 + (-7) - 2\\frac{4}{6}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.55, bodu=23, $$-14 \cdot 9 \cdot (-11 - (-13)) + (-8)=\textcolor{white}{-260}$$return { ["body"] = 23, ["id"] = "rd38er_0508_1734", ["obtiznost"] = 0.55, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -260, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-260}{1}", ["typ"] = "cislo" }, ["tex"] = "-260", ["x"] = -260 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-11 - (-13)", ["typ"] = "minus" }, ["render"] = "(-11 - (-13))", ["typ"] = "zavorka" }, ["render"] = "-14 \\cdot 9 \\cdot (-11 - (-13))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot 9 \\cdot (-11 - (-13)) + (-8)", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.56, bodu=152, $$(1\frac{2}{9} - \frac{1\frac{4}{13}}{1\frac{5}{11}}) \cdot 4\frac{3}{7} \cdot 7=\textcolor{white}{10\frac{35}{1872}}$$return { ["body"] = 152, ["id"] = "93pdrp_0508_1734", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = 10.018696581197, ["objekt"] = { ["hodnota"] = { ["citatel"] = 18755, ["jmenovatel"] = 1872 }, ["render"] = "\\frac{131285}{13104}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{35}{1872}", ["x"] = 10, ["y"] = 35, ["z"] = 1872 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{13}}{1\\frac{5}{11}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{9} - \\frac{1\\frac{4}{13}}{1\\frac{5}{11}}", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{9} - \\frac{1\\frac{4}{13}}{1\\frac{5}{11}})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "(1\\frac{2}{9} - \\frac{1\\frac{4}{13}}{1\\frac{5}{11}}) \\cdot 4\\frac{3}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(1\\frac{2}{9} - \\frac{1\\frac{4}{13}}{1\\frac{5}{11}}) \\cdot 4\\frac{3}{7} \\cdot 7", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.57, bodu=70, $$(\frac{-4}{1\frac{5}{11}} - 5) \cdot \frac{15}{-14}=\textcolor{white}{8\frac{17}{56}}$$return { ["body"] = 70, ["id"] = "AT6jKv_0508_1734", ["obtiznost"] = 0.77, ["reseni"] = { ["float"] = 8.3035714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 465, ["jmenovatel"] = 56 }, ["render"] = "\\frac{465}{56}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{17}{56}", ["x"] = 8, ["y"] = 17, ["z"] = 56 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.57", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{1\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{1\\frac{5}{11}} - 5", ["typ"] = "minus" }, ["render"] = "(\\frac{-4}{1\\frac{5}{11}} - 5)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-14}", ["typ"] = "lomeno" }, ["render"] = "(\\frac{-4}{1\\frac{5}{11}} - 5) \\cdot \\frac{15}{-14}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.58, bodu=49, $$15 \cdot \frac{-9 \cdot 7}{-15}=\textcolor{white}{63}$$return { ["body"] = 49, ["id"] = "f7t65h_0508_1734", ["obtiznost"] = 0.58, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 63, ["jmenovatel"] = 1 }, ["render"] = "\\frac{315}{5}", ["typ"] = "cislo" }, ["tex"] = "63", ["x"] = 63 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.58", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 \\cdot 7}{-15}", ["typ"] = "lomeno" }, ["render"] = "15 \\cdot \\frac{-9 \\cdot 7}{-15}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.59, bodu=50, $$\frac{-13 + (-11)}{\frac{\frac{5}{-3}}{-11}}=\textcolor{white}{-158{,}4}$$return { ["body"] = 50, ["id"] = "NFpira_0508_1734", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = -158.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = -792, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-792}{5}", ["typ"] = "cislo" }, ["tex"] = "-158\\frac{2}{5}", ["tex_float"] = "-158{,}4", ["x"] = -158, ["y"] = 2, ["z"] = 5 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-13 + (-11)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{-3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{5}{-3}}{-11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-13 + (-11)}{\\frac{\\frac{5}{-3}}{-11}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.6, bodu=100, $$(11 + \frac{4\frac{5}{14}}{4} - (5 + 2\frac{4}{6})) \cdot -11=\textcolor{white}{-48\frac{109}{168}}$$return { ["body"] = 100, ["id"] = "H8XJoz_0508_1734", ["obtiznost"] = 1, ["reseni"] = { ["float"] = -48.64880952381, ["objekt"] = { ["hodnota"] = { ["citatel"] = -8173, ["jmenovatel"] = 168 }, ["render"] = "\\frac{-8173}{168}", ["typ"] = "cislo" }, ["tex"] = "-48\\frac{109}{168}", ["x"] = -48, ["y"] = 109, ["z"] = 168 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.6", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 61, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{5}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{14}}{4}", ["typ"] = "lomeno" }, ["render"] = "11 + \\frac{4\\frac{5}{14}}{4}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "5 + 2\\frac{4}{6}", ["typ"] = "plus" }, ["render"] = "(5 + 2\\frac{4}{6})", ["typ"] = "zavorka" }, ["render"] = "11 + \\frac{4\\frac{5}{14}}{4} - (5 + 2\\frac{4}{6})", ["typ"] = "minus" }, ["render"] = "(11 + \\frac{4\\frac{5}{14}}{4} - (5 + 2\\frac{4}{6}))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "(11 + \\frac{4\\frac{5}{14}}{4} - (5 + 2\\frac{4}{6})) \\cdot -11", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.61, bodu=101, $$(\frac{4}{4\frac{1}{3}} - 11) \cdot (1\frac{4}{9} + 16) - (-6)=\textcolor{white}{-169\frac{92}{117}}$$return { ["body"] = 101, ["id"] = "UuYm3C_0508_1734", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = -169.78632478632, ["objekt"] = { ["hodnota"] = { ["citatel"] = -19865, ["jmenovatel"] = 117 }, ["render"] = "\\frac{-19865}{117}", ["typ"] = "cislo" }, ["tex"] = "-169\\frac{92}{117}", ["x"] = -169, ["y"] = 92, ["z"] = 117 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{4\\frac{1}{3}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{4\\frac{1}{3}} - 11", ["typ"] = "minus" }, ["render"] = "(\\frac{4}{4\\frac{1}{3}} - 11)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} + 16", ["typ"] = "plus" }, ["render"] = "(1\\frac{4}{9} + 16)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{4}{4\\frac{1}{3}} - 11) \\cdot (1\\frac{4}{9} + 16)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "(\\frac{4}{4\\frac{1}{3}} - 11) \\cdot (1\\frac{4}{9} + 16) - (-6)", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.62, bodu=102, $$-5 - (-12 \cdot 16) - \frac{2\frac{1}{7}}{4\frac{5}{7}}=\textcolor{white}{186\frac{6}{11}}$$return { ["body"] = 102, ["id"] = "95eyYD_0508_1734", ["obtiznost"] = 1.02, ["reseni"] = { ["float"] = 186.54545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2052, ["jmenovatel"] = 11 }, ["render"] = "\\frac{2052}{11}", ["typ"] = "cislo" }, ["tex"] = "186\\frac{6}{11}", ["x"] = 186, ["y"] = 6, ["z"] = 11 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 16", ["typ"] = "krat" }, ["render"] = "-5 - (-12 \\cdot 16)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{7}}{4\\frac{5}{7}}", ["typ"] = "lomeno" }, ["render"] = "-5 - (-12 \\cdot 16) - \\frac{2\\frac{1}{7}}{4\\frac{5}{7}}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.63, bodu=78, $$(11 - (-15 \cdot 2 \cdot -8)) \cdot 4\frac{2}{6}=\textcolor{white}{-992\frac{1}{3}}$$return { ["body"] = 78, ["id"] = "PcdH5M_0508_1734", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = -992.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2977, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-2977}{3}", ["typ"] = "cislo" }, ["tex"] = "-992\\frac{1}{3}", ["x"] = -992, ["y"] = 1, ["z"] = 3 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.63", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "2 \\cdot -8", ["typ"] = "krat" }, ["render"] = "-15 \\cdot 2 \\cdot -8", ["typ"] = "krat" }, ["render"] = "11 - (-15 \\cdot 2 \\cdot -8)", ["typ"] = "minus" }, ["render"] = "(11 - (-15 \\cdot 2 \\cdot -8))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "(11 - (-15 \\cdot 2 \\cdot -8)) \\cdot 4\\frac{2}{6}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.64, bodu=105, $$-3 \cdot 2\frac{1}{6} \cdot 13 + (-11 - (3\frac{3}{9} + 14))=\textcolor{white}{-112\frac{5}{6}}$$return { ["body"] = 105, ["id"] = "3bOIKA_0508_1734", ["obtiznost"] = 1.04, ["reseni"] = { ["float"] = -112.83333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -677, ["jmenovatel"] = 6 }, ["render"] = "\\frac{-677}{6}", ["typ"] = "cislo" }, ["tex"] = "-112\\frac{5}{6}", ["x"] = -112, ["y"] = 5, ["z"] = 6 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot 2\\frac{1}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot 2\\frac{1}{6} \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} + 14", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{9} + 14)", ["typ"] = "zavorka" }, ["render"] = "-11 - (3\\frac{3}{9} + 14)", ["typ"] = "minus" }, ["render"] = "-3 \\cdot 2\\frac{1}{6} \\cdot 13 + (-11 - (3\\frac{3}{9} + 14))", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.65, bodu=80, $$(15 + (-13)) \cdot \frac{4\frac{1}{6}}{13} \cdot -17=\textcolor{white}{-10\frac{35}{39}}$$return { ["body"] = 80, ["id"] = "scZou8_0508_1734", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = -10.897435897436, ["objekt"] = { ["hodnota"] = { ["citatel"] = -425, ["jmenovatel"] = 39 }, ["render"] = "\\frac{-425}{39}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{35}{39}", ["x"] = -10, ["y"] = 35, ["z"] = 39 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "15 + (-13)", ["typ"] = "plus" }, ["render"] = "(15 + (-13))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{6}}{13}", ["typ"] = "lomeno" }, ["render"] = "(15 + (-13)) \\cdot \\frac{4\\frac{1}{6}}{13}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "(15 + (-13)) \\cdot \\frac{4\\frac{1}{6}}{13} \\cdot -17", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.66, bodu=81, $$\frac{12}{15 \cdot \frac{\frac{1\frac{3}{7}}{-10}}{17}}=\textcolor{white}{-95{,}2}$$return { ["body"] = 81, ["id"] = "U3lIx7_0508_1734", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = -95.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -476, ["jmenovatel"] = 5 }, ["render"] = "\\frac{1428}{-15}", ["typ"] = "cislo" }, ["tex"] = "-95\\frac{1}{5}", ["tex_float"] = "-95{,}2", ["x"] = -95, ["y"] = 1, ["z"] = 5 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.66", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["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"] = "\\frac{1\\frac{3}{7}}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{3}{7}}{-10}}{17}", ["typ"] = "lomeno" }, ["render"] = "15 \\cdot \\frac{\\frac{1\\frac{3}{7}}{-10}}{17}", ["typ"] = "krat" }, ["render"] = "\\frac{12}{15 \\cdot \\frac{\\frac{1\\frac{3}{7}}{-10}}{17}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.67, bodu=83, $$\frac{-6 - (-16) + 11 + (-6)}{-5 \cdot 1\frac{5}{7}}=\textcolor{white}{-1{,}75}$$return { ["body"] = 83, ["id"] = "PU4co3_0508_1734", ["obtiznost"] = 0.87, ["reseni"] = { ["float"] = -1.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 4 }, ["render"] = "\\frac{105}{-60}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{3}{4}", ["tex_float"] = "-1{,}75", ["x"] = -1, ["y"] = 3, ["z"] = 4 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-6 - (-16)", ["typ"] = "minus" }, ["c2"] = { ["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" }, ["render"] = "-6 - (-16) + 11 + (-6)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 1\\frac{5}{7}", ["typ"] = "krat" }, ["render"] = "\\frac{-6 - (-16) + 11 + (-6)}{-5 \\cdot 1\\frac{5}{7}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.68, bodu=140, $$\frac{2\frac{4}{9} + 3\frac{5}{9}}{\frac{-12}{-10 - 7}} + 3\frac{2}{6}=\textcolor{white}{11\frac{5}{6}}$$return { ["body"] = 140, ["id"] = "IZCitN_0508_1734", ["obtiznost"] = 1.28, ["reseni"] = { ["float"] = 11.833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 71, ["jmenovatel"] = 6 }, ["render"] = "\\frac{71}{6}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{5}{6}", ["x"] = 11, ["y"] = 5, ["z"] = 6 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} + 3\\frac{5}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-10 - 7", ["typ"] = "minus" }, ["render"] = "\\frac{-12}{-10 - 7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{4}{9} + 3\\frac{5}{9}}{\\frac{-12}{-10 - 7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{9} + 3\\frac{5}{9}}{\\frac{-12}{-10 - 7}} + 3\\frac{2}{6}", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.69, bodu=85, $$(15 - 8) \cdot \frac{2\frac{4}{9}}{\frac{-15}{-17}}=\textcolor{white}{19\frac{53}{135}}$$return { ["body"] = 85, ["id"] = "sNUUot_0508_1734", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = 19.392592592593, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2618, ["jmenovatel"] = 135 }, ["render"] = "\\frac{2618}{135}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{53}{135}", ["x"] = 19, ["y"] = 53, ["z"] = 135 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.69", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "15 - 8", ["typ"] = "minus" }, ["render"] = "(15 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{-17}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{4}{9}}{\\frac{-15}{-17}}", ["typ"] = "lomeno" }, ["render"] = "(15 - 8) \\cdot \\frac{2\\frac{4}{9}}{\\frac{-15}{-17}}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.7, bodu=139, $$\frac{(-12 + 5)^3}{(15 - 4\frac{3}{4} - 8)^2 - (-5) + 3\frac{1}{10}}=\textcolor{white}{-26\frac{62}{1053}}$$return { ["body"] = 139, ["id"] = "nIqJvR_0508_1734", ["obtiznost"] = 1.2764, ["reseni"] = { ["float"] = -26.058879392213, ["objekt"] = { ["hodnota"] = { ["citatel"] = -27440, ["jmenovatel"] = 1053 }, ["render"] = "\\frac{-27440}{1053}", ["typ"] = "cislo" }, ["tex"] = "-26\\frac{62}{1053}", ["x"] = -26, ["y"] = 62, ["z"] = 1053 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.7", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-12 + 5", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-12 + 5)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "15 - 4\\frac{3}{4}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "15 - 4\\frac{3}{4} - 8", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(15 - 4\\frac{3}{4} - 8)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "(15 - 4\\frac{3}{4} - 8)^2 - (-5)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "(15 - 4\\frac{3}{4} - 8)^2 - (-5) + 3\\frac{1}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{(-12 + 5)^3}{(15 - 4\\frac{3}{4} - 8)^2 - (-5) + 3\\frac{1}{10}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.71, bodu=204, $$(-15 + 18 - (4\frac{3}{7} \cdot 3\frac{1}{4} + (-11)))^2 \cdot 4\frac{1}{9}=\textcolor{white}{\frac{4477}{7056}}$$return { ["body"] = 204, ["id"] = "ipMdMr_0508_1734", ["obtiznost"] = 1.672, ["reseni"] = { ["float"] = 0.63449546485261, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4477, ["jmenovatel"] = 7056 }, ["render"] = "\\frac{4477}{7056}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4477}{7056}", ["y"] = 4477, ["z"] = 7056 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.71", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "-15 + 18", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} \\cdot 3\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} \\cdot 3\\frac{1}{4} + (-11)", ["typ"] = "plus" }, ["render"] = "(4\\frac{3}{7} \\cdot 3\\frac{1}{4} + (-11))", ["typ"] = "zavorka" }, ["render"] = "-15 + 18 - (4\\frac{3}{7} \\cdot 3\\frac{1}{4} + (-11))", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-15 + 18 - (4\\frac{3}{7} \\cdot 3\\frac{1}{4} + (-11)))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "(-15 + 18 - (4\\frac{3}{7} \\cdot 3\\frac{1}{4} + (-11)))^2 \\cdot 4\\frac{1}{9}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.72, bodu=116, $$17 \cdot \frac{\frac{3\frac{2}{9}}{11}}{\frac{13}{3\frac{5}{9}}}=\textcolor{white}{1\frac{4193}{11583}}$$return { ["body"] = 116, ["id"] = "2aHdzy_0508_1734", ["obtiznost"] = 1.12, ["reseni"] = { ["float"] = 1.3619960286627, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15776, ["jmenovatel"] = 11583 }, ["render"] = "\\frac{15776}{11583}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{4193}{11583}", ["x"] = 1, ["y"] = 4193, ["z"] = 11583 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.72", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{9}}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{3\\frac{5}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{3\\frac{2}{9}}{11}}{\\frac{13}{3\\frac{5}{9}}}", ["typ"] = "lomeno" }, ["render"] = "17 \\cdot \\frac{\\frac{3\\frac{2}{9}}{11}}{\\frac{13}{3\\frac{5}{9}}}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.73, bodu=118, $$(14 + 1\frac{3}{6}) \cdot (-15 - 11) + (-18 - 2\frac{3}{6})=\textcolor{white}{-423{,}5}$$return { ["body"] = 118, ["id"] = "Ho07HS_0508_1734", ["obtiznost"] = 1.13, ["reseni"] = { ["float"] = -423.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -847, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-847}{2}", ["typ"] = "cislo" }, ["tex"] = "-423\\frac{1}{2}", ["tex_float"] = "-423{,}5", ["x"] = -423, ["y"] = 1, ["z"] = 2 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "14 + 1\\frac{3}{6}", ["typ"] = "plus" }, ["render"] = "(14 + 1\\frac{3}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-15 - 11", ["typ"] = "minus" }, ["render"] = "(-15 - 11)", ["typ"] = "zavorka" }, ["render"] = "(14 + 1\\frac{3}{6}) \\cdot (-15 - 11)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-18 - 2\\frac{3}{6}", ["typ"] = "minus" }, ["render"] = "(14 + 1\\frac{3}{6}) \\cdot (-15 - 11) + (-18 - 2\\frac{3}{6})", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.74, bodu=181, $$6 \cdot \frac{4\frac{5}{8}}{-12} + 1\frac{4}{13} + 4\frac{5}{9} + 2\frac{5}{8}=\textcolor{white}{6\frac{329}{1872}}$$return { ["body"] = 181, ["id"] = "sURzsL_0508_1734", ["obtiznost"] = 1.54, ["reseni"] = { ["float"] = 6.1757478632479, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11561, ["jmenovatel"] = 1872 }, ["render"] = "\\frac{92488}{14976}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{329}{1872}", ["x"] = 6, ["y"] = 329, ["z"] = 1872 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{8}}{-12}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot \\frac{4\\frac{5}{8}}{-12}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{9} + 2\\frac{5}{8}", ["typ"] = "plus" }, ["render"] = "1\\frac{4}{13} + 4\\frac{5}{9} + 2\\frac{5}{8}", ["typ"] = "plus" }, ["render"] = "6 \\cdot \\frac{4\\frac{5}{8}}{-12} + 1\\frac{4}{13} + 4\\frac{5}{9} + 2\\frac{5}{8}", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.75, bodu=218, $$\frac{4\frac{3}{8} + 12 \cdot 3\frac{2}{8} + 1\frac{4}{9}}{2\frac{3}{8} \cdot 4\frac{3}{10}}=\textcolor{white}{4\frac{2858}{7353}}$$return { ["body"] = 218, ["id"] = "z2BupB_0508_1734", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = 4.3886848905209, ["objekt"] = { ["hodnota"] = { ["citatel"] = 32270, ["jmenovatel"] = 7353 }, ["render"] = "\\frac{258160}{58824}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{2858}{7353}", ["x"] = 4, ["y"] = 2858, ["z"] = 7353 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 3\\frac{2}{8}", ["typ"] = "krat" }, ["render"] = "4\\frac{3}{8} + 12 \\cdot 3\\frac{2}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{8} + 12 \\cdot 3\\frac{2}{8} + 1\\frac{4}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} \\cdot 4\\frac{3}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{3}{8} + 12 \\cdot 3\\frac{2}{8} + 1\\frac{4}{9}}{2\\frac{3}{8} \\cdot 4\\frac{3}{10}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.76, bodu=152, $$\frac{\frac{1\frac{3}{7}}{13} \cdot 10}{\frac{3\frac{2}{5}}{4\frac{5}{10}}}=\textcolor{white}{1\frac{703}{1547}}$$return { ["body"] = 152, ["id"] = "1sd3qS_0508_1734", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = 1.4544279250162, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2250, ["jmenovatel"] = 1547 }, ["render"] = "\\frac{4500}{3094}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{703}{1547}", ["x"] = 1, ["y"] = 703, ["z"] = 1547 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{7}}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{7}}{13} \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{5}}{4\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{1\\frac{3}{7}}{13} \\cdot 10}{\\frac{3\\frac{2}{5}}{4\\frac{5}{10}}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.77, bodu=187, $$3\frac{4}{7} \cdot -13 \cdot 2\frac{5}{10} + (-11) - (3\frac{2}{7} - 2\frac{2}{9})=\textcolor{white}{-128\frac{17}{126}}$$return { ["body"] = 187, ["id"] = "LbTudR_0508_1734", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = -128.13492063492, ["objekt"] = { ["hodnota"] = { ["citatel"] = -16145, ["jmenovatel"] = 126 }, ["render"] = "\\frac{-113015}{882}", ["typ"] = "cislo" }, ["tex"] = "-128\\frac{17}{126}", ["x"] = -128, ["y"] = 17, ["z"] = 126 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 2\\frac{5}{10}", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{7} \\cdot -13 \\cdot 2\\frac{5}{10}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{7} \\cdot -13 \\cdot 2\\frac{5}{10} + (-11)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{7} - 2\\frac{2}{9}", ["typ"] = "minus" }, ["render"] = "(3\\frac{2}{7} - 2\\frac{2}{9})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{7} \\cdot -13 \\cdot 2\\frac{5}{10} + (-11) - (3\\frac{2}{7} - 2\\frac{2}{9})", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.78, bodu=217, $$14 + 3\frac{1}{9} \cdot 4\frac{1}{5} - (3\frac{4}{7} - 4\frac{1}{7})^3 + 5=\textcolor{white}{32\frac{1303}{5145}}$$return { ["body"] = 217, ["id"] = "62c6Js_0508_1734", ["obtiznost"] = 1.7428, ["reseni"] = { ["float"] = 32.253255587949, ["objekt"] = { ["hodnota"] = { ["citatel"] = 165943, ["jmenovatel"] = 5145 }, ["render"] = "\\frac{165943}{5145}", ["typ"] = "cislo" }, ["tex"] = "32\\frac{1303}{5145}", ["x"] = 32, ["y"] = 1303, ["z"] = 5145 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.78", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{9} \\cdot 4\\frac{1}{5}", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{7} - 4\\frac{1}{7}", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(3\\frac{4}{7} - 4\\frac{1}{7})^3", ["typ"] = "mocnina" }, ["render"] = "3\\frac{1}{9} \\cdot 4\\frac{1}{5} - (3\\frac{4}{7} - 4\\frac{1}{7})^3", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{9} \\cdot 4\\frac{1}{5} - (3\\frac{4}{7} - 4\\frac{1}{7})^3 + 5", ["typ"] = "plus" }, ["render"] = "14 + 3\\frac{1}{9} \\cdot 4\\frac{1}{5} - (3\\frac{4}{7} - 4\\frac{1}{7})^3 + 5", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.79, bodu=142, $$\frac{14 + 13}{(10 + (-6))^4} + 3\frac{1}{8} + 2\frac{2}{11} + 16=\textcolor{white}{21\frac{1161}{2816}}$$return { ["body"] = 142, ["id"] = "1oH16L_0508_1734", ["obtiznost"] = 1.2928, ["reseni"] = { ["float"] = 21.412286931818, ["objekt"] = { ["hodnota"] = { ["citatel"] = 60297, ["jmenovatel"] = 2816 }, ["render"] = "\\frac{482376}{22528}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{1161}{2816}", ["x"] = 21, ["y"] = 1161, ["z"] = 2816 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "14 + 13", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "10 + (-6)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(10 + (-6))^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{14 + 13}{(10 + (-6))^4}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{11} + 16", ["typ"] = "plus" }, ["render"] = "3\\frac{1}{8} + 2\\frac{2}{11} + 16", ["typ"] = "plus" }, ["render"] = "\\frac{14 + 13}{(10 + (-6))^4} + 3\\frac{1}{8} + 2\\frac{2}{11} + 16", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.8, bodu=128, $$\frac{-18 + 10 + (-13 - 1\frac{5}{9})}{9 - 1\frac{1}{5} \cdot -13}=\textcolor{white}{-\frac{1015}{1107}}$$return { ["body"] = 128, ["id"] = "xOQ7aI_0508_1734", ["obtiznost"] = 1.2, ["reseni"] = { ["float"] = -0.91689250225836, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1015, ["jmenovatel"] = 1107 }, ["render"] = "\\frac{-1015}{1107}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1015}{1107}", ["y"] = -1015, ["z"] = 1107 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "-13 - 1\\frac{5}{9}", ["typ"] = "minus" }, ["render"] = "10 + (-13 - 1\\frac{5}{9})", ["typ"] = "plus" }, ["render"] = "-18 + 10 + (-13 - 1\\frac{5}{9})", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} \\cdot -13", ["typ"] = "krat" }, ["render"] = "9 - 1\\frac{1}{5} \\cdot -13", ["typ"] = "minus" }, ["render"] = "\\frac{-18 + 10 + (-13 - 1\\frac{5}{9})}{9 - 1\\frac{1}{5} \\cdot -13}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.81, bodu=193, $$(-18 - \frac{3\frac{5}{14}}{3\frac{2}{4}} - 1\frac{3}{9}) \cdot (6 + 4\frac{3}{14} + (-9))=\textcolor{white}{-24\frac{1319}{2058}}$$return { ["body"] = 193, ["id"] = "8D3u0W_0508_1734", ["obtiznost"] = 1.61, ["reseni"] = { ["float"] = -24.64091350826, ["objekt"] = { ["hodnota"] = { ["citatel"] = -50711, ["jmenovatel"] = 2058 }, ["render"] = "\\frac{-50711}{2058}", ["typ"] = "cislo" }, ["tex"] = "-24\\frac{1319}{2058}", ["x"] = -24, ["y"] = 1319, ["z"] = 2058 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.81", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 14 }, ["render"] = "3\\frac{5}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{14}}{3\\frac{2}{4}}", ["typ"] = "lomeno" }, ["render"] = "-18 - \\frac{3\\frac{5}{14}}{3\\frac{2}{4}}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "-18 - \\frac{3\\frac{5}{14}}{3\\frac{2}{4}} - 1\\frac{3}{9}", ["typ"] = "minus" }, ["render"] = "(-18 - \\frac{3\\frac{5}{14}}{3\\frac{2}{4}} - 1\\frac{3}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 59, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{3}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{14} + (-9)", ["typ"] = "plus" }, ["render"] = "6 + 4\\frac{3}{14} + (-9)", ["typ"] = "plus" }, ["render"] = "(6 + 4\\frac{3}{14} + (-9))", ["typ"] = "zavorka" }, ["render"] = "(-18 - \\frac{3\\frac{5}{14}}{3\\frac{2}{4}} - 1\\frac{3}{9}) \\cdot (6 + 4\\frac{3}{14} + (-9))", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.82, bodu=131, $$\frac{12 - \frac{2\frac{3}{11}}{7}}{6} - \frac{21}{4\frac{4}{11}}=\textcolor{white}{-2\frac{3203}{3696}}$$return { ["body"] = 131, ["id"] = "rKgZpC_0508_1734", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = -2.8666125541126, ["objekt"] = { ["hodnota"] = { ["citatel"] = -10595, ["jmenovatel"] = 3696 }, ["render"] = "\\frac{-21190}{7392}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{3203}{3696}", ["x"] = -2, ["y"] = 3203, ["z"] = 3696 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{11}}{7}", ["typ"] = "lomeno" }, ["render"] = "12 - \\frac{2\\frac{3}{11}}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{12 - \\frac{2\\frac{3}{11}}{7}}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{21}{4\\frac{4}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{12 - \\frac{2\\frac{3}{11}}{7}}{6} - \\frac{21}{4\\frac{4}{11}}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.83, bodu=193, $$\frac{(\frac{-14}{1\frac{3}{9}})^2 \cdot 4\frac{2}{3} - 15 + 1\frac{2}{6}}{-13 + (-17)}=\textcolor{white}{-16\frac{25}{36}}$$return { ["body"] = 193, ["id"] = "TAAyRq_0508_1734", ["obtiznost"] = 1.608, ["reseni"] = { ["float"] = -16.694444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -601, ["jmenovatel"] = 36 }, ["render"] = "\\frac{3005}{-180}", ["typ"] = "cislo" }, ["tex"] = "-16\\frac{25}{36}", ["x"] = -16, ["y"] = 25, ["z"] = 36 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{1\\frac{3}{9}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-14}{1\\frac{3}{9}})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "(\\frac{-14}{1\\frac{3}{9}})^2 \\cdot 4\\frac{2}{3}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "(\\frac{-14}{1\\frac{3}{9}})^2 \\cdot 4\\frac{2}{3} - 15", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "(\\frac{-14}{1\\frac{3}{9}})^2 \\cdot 4\\frac{2}{3} - 15 + 1\\frac{2}{6}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-13 + (-17)", ["typ"] = "plus" }, ["render"] = "\\frac{(\\frac{-14}{1\\frac{3}{9}})^2 \\cdot 4\\frac{2}{3} - 15 + 1\\frac{2}{6}}{-13 + (-17)}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.84, bodu=134, $$-14 - \frac{10}{3\frac{1}{7}} - \frac{-19 - 1\frac{1}{7}}{8}=\textcolor{white}{-14\frac{409}{616}}$$return { ["body"] = 134, ["id"] = "LH3yww_0508_1734", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = -14.663961038961, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9033, ["jmenovatel"] = 616 }, ["render"] = "\\frac{-9033}{616}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{409}{616}", ["x"] = -14, ["y"] = 409, ["z"] = 616 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{3\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "-14 - \\frac{10}{3\\frac{1}{7}}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "-19 - 1\\frac{1}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-19 - 1\\frac{1}{7}}{8}", ["typ"] = "lomeno" }, ["render"] = "-14 - \\frac{10}{3\\frac{1}{7}} - \\frac{-19 - 1\\frac{1}{7}}{8}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.85, bodu=106, $$-18 - 20 + 17 - (-8 - (-9 + 2\frac{1}{4}) + (-11)) + (-12)=\textcolor{white}{-20{,}75}$$return { ["body"] = 106, ["id"] = "OLdIRJ_0508_1734", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = -20.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -83, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-83}{4}", ["typ"] = "cislo" }, ["tex"] = "-20\\frac{3}{4}", ["tex_float"] = "-20{,}75", ["x"] = -20, ["y"] = 3, ["z"] = 4 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "-18 - 20", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "-9 + 2\\frac{1}{4}", ["typ"] = "plus" }, ["render"] = "(-9 + 2\\frac{1}{4})", ["typ"] = "zavorka" }, ["render"] = "-8 - (-9 + 2\\frac{1}{4})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-8 - (-9 + 2\\frac{1}{4}) + (-11)", ["typ"] = "plus" }, ["render"] = "(-8 - (-9 + 2\\frac{1}{4}) + (-11))", ["typ"] = "zavorka" }, ["render"] = "17 - (-8 - (-9 + 2\\frac{1}{4}) + (-11))", ["typ"] = "minus" }, ["render"] = "-18 - 20 + 17 - (-8 - (-9 + 2\\frac{1}{4}) + (-11))", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-18 - 20 + 17 - (-8 - (-9 + 2\\frac{1}{4}) + (-11)) + (-12)", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.86, bodu=176, $$\frac{1\frac{3}{11} + 4\frac{3}{7}}{\frac{2\frac{5}{7} + 20 + 8}{15 + (7 + (-18))^2}}=\textcolor{white}{25\frac{579}{2365}}$$return { ["body"] = 176, ["id"] = "1d0iEK_0508_1734", ["obtiznost"] = 1.5088, ["reseni"] = { ["float"] = 25.244820295983, ["objekt"] = { ["hodnota"] = { ["citatel"] = 59704, ["jmenovatel"] = 2365 }, ["render"] = "\\frac{417928}{16555}", ["typ"] = "cislo" }, ["tex"] = "25\\frac{579}{2365}", ["x"] = 25, ["y"] = 579, ["z"] = 2365 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{11} + 4\\frac{3}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "20 + 8", ["typ"] = "plus" }, ["render"] = "2\\frac{5}{7} + 20 + 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "7 + (-18)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(7 + (-18))^2", ["typ"] = "mocnina" }, ["render"] = "15 + (7 + (-18))^2", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{5}{7} + 20 + 8}{15 + (7 + (-18))^2}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{3}{11} + 4\\frac{3}{7}}{\\frac{2\\frac{5}{7} + 20 + 8}{15 + (7 + (-18))^2}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.87, bodu=138, $$\frac{4\frac{4}{8} \cdot 8 \cdot 11 \cdot (4\frac{3}{12} + (-14))}{7}=\textcolor{white}{-551\frac{4}{7}}$$return { ["body"] = 138, ["id"] = "b8foAu_0508_1734", ["obtiznost"] = 1.27, ["reseni"] = { ["float"] = -551.57142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3861, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-3861}{7}", ["typ"] = "cislo" }, ["tex"] = "-551\\frac{4}{7}", ["x"] = -551, ["y"] = 4, ["z"] = 7 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 11", ["typ"] = "krat" }, ["render"] = "4\\frac{4}{8} \\cdot 8 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{12} + (-14)", ["typ"] = "plus" }, ["render"] = "(4\\frac{3}{12} + (-14))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{4}{8} \\cdot 8 \\cdot 11 \\cdot (4\\frac{3}{12} + (-14))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8} \\cdot 8 \\cdot 11 \\cdot (4\\frac{3}{12} + (-14))}{7}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.88, bodu=185, $$14 - (-7) + 1\frac{2}{5} - ((\frac{18}{10} - 7)^2 + 4\frac{4}{12})=\textcolor{white}{-8\frac{73}{75}}$$return { ["body"] = 185, ["id"] = "NnBG6s_0508_1734", ["obtiznost"] = 1.5604, ["reseni"] = { ["float"] = -8.9733333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -673, ["jmenovatel"] = 75 }, ["render"] = "\\frac{-3365}{375}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{73}{75}", ["x"] = -8, ["y"] = 73, ["z"] = 75 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "14 - (-7)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "14 - (-7) + 1\\frac{2}{5}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{10} - 7", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(\\frac{18}{10} - 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "(\\frac{18}{10} - 7)^2 + 4\\frac{4}{12}", ["typ"] = "plus" }, ["render"] = "((\\frac{18}{10} - 7)^2 + 4\\frac{4}{12})", ["typ"] = "zavorka" }, ["render"] = "14 - (-7) + 1\\frac{2}{5} - ((\\frac{18}{10} - 7)^2 + 4\\frac{4}{12})", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.89, bodu=173, $$\frac{(-10 - 1\frac{1}{7}) \cdot 7}{-18 + 4\frac{4}{9}} - 4\frac{5}{13}=\textcolor{white}{1\frac{293}{793}}$$return { ["body"] = 173, ["id"] = "Bb8OgQ_0508_1734", ["obtiznost"] = 1.49, ["reseni"] = { ["float"] = 1.3694829760404, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1086, ["jmenovatel"] = 793 }, ["render"] = "\\frac{1086}{793}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{293}{793}", ["x"] = 1, ["y"] = 293, ["z"] = 793 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "-10 - 1\\frac{1}{7}", ["typ"] = "minus" }, ["render"] = "(-10 - 1\\frac{1}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(-10 - 1\\frac{1}{7}) \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "-18 + 4\\frac{4}{9}", ["typ"] = "plus" }, ["render"] = "\\frac{(-10 - 1\\frac{1}{7}) \\cdot 7}{-18 + 4\\frac{4}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{(-10 - 1\\frac{1}{7}) \\cdot 7}{-18 + 4\\frac{4}{9}} - 4\\frac{5}{13}", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.9, bodu=192, $$19 + (-7) + (12 + (-16))^4 + 3\frac{5}{14} + 3\frac{3}{9} + 3\frac{4}{11} + (-9) + (-15)=\textcolor{white}{254\frac{25}{462}}$$return { ["body"] = 192, ["id"] = "4KX8DK_0508_1734", ["obtiznost"] = 1.6028, ["reseni"] = { ["float"] = 254.05411255411, ["objekt"] = { ["hodnota"] = { ["citatel"] = 117373, ["jmenovatel"] = 462 }, ["render"] = "\\frac{117373}{462}", ["typ"] = "cislo" }, ["tex"] = "254\\frac{25}{462}", ["x"] = 254, ["y"] = 25, ["z"] = 462 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "19 + (-7)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "12 + (-16)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(12 + (-16))^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 14 }, ["render"] = "3\\frac{5}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{14} + 3\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "(12 + (-16))^4 + 3\\frac{5}{14} + 3\\frac{3}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{11} + (-9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{11} + (-9) + (-15)", ["typ"] = "plus" }, ["render"] = "(12 + (-16))^4 + 3\\frac{5}{14} + 3\\frac{3}{9} + 3\\frac{4}{11} + (-9) + (-15)", ["typ"] = "plus" }, ["render"] = "19 + (-7) + (12 + (-16))^4 + 3\\frac{5}{14} + 3\\frac{3}{9} + 3\\frac{4}{11} + (-9) + (-15)", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.91, bodu=176, $$(1\frac{4}{11} - (-13)) \cdot 4\frac{3}{10} + 6 \cdot \frac{2\frac{1}{5}}{-17}=\textcolor{white}{60\frac{923}{935}}$$return { ["body"] = 176, ["id"] = "JdCRlb_0508_1734", ["obtiznost"] = 1.51, ["reseni"] = { ["float"] = 60.987165775401, ["objekt"] = { ["hodnota"] = { ["citatel"] = 57023, ["jmenovatel"] = 935 }, ["render"] = "\\frac{285115}{4675}", ["typ"] = "cislo" }, ["tex"] = "60\\frac{923}{935}", ["x"] = 60, ["y"] = 923, ["z"] = 935 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{11} - (-13)", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{11} - (-13))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "(1\\frac{4}{11} - (-13)) \\cdot 4\\frac{3}{10}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{5}}{-17}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot \\frac{2\\frac{1}{5}}{-17}", ["typ"] = "krat" }, ["render"] = "(1\\frac{4}{11} - (-13)) \\cdot 4\\frac{3}{10} + 6 \\cdot \\frac{2\\frac{1}{5}}{-17}", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.92, bodu=178, $$(-21 + 3\frac{2}{9} - 16) \cdot \frac{14 + 1\frac{4}{10}}{15 \cdot 3\frac{4}{10}}=\textcolor{white}{-10\frac{458}{2295}}$$return { ["body"] = 178, ["id"] = "gdKlhw_0508_1734", ["obtiznost"] = 1.52, ["reseni"] = { ["float"] = -10.199564270153, ["objekt"] = { ["hodnota"] = { ["citatel"] = -23408, ["jmenovatel"] = 2295 }, ["render"] = "\\frac{-23408}{2295}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{458}{2295}", ["x"] = -10, ["y"] = 458, ["z"] = 2295 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.92", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{9} - 16", ["typ"] = "minus" }, ["render"] = "-21 + 3\\frac{2}{9} - 16", ["typ"] = "plus" }, ["render"] = "(-21 + 3\\frac{2}{9} - 16)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "14 + 1\\frac{4}{10}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 3\\frac{4}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{14 + 1\\frac{4}{10}}{15 \\cdot 3\\frac{4}{10}}", ["typ"] = "lomeno" }, ["render"] = "(-21 + 3\\frac{2}{9} - 16) \\cdot \\frac{14 + 1\\frac{4}{10}}{15 \\cdot 3\\frac{4}{10}}", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.93, bodu=251, $$\frac{\frac{4\frac{5}{13} - \frac{2\frac{4}{12}}{3\frac{4}{5}}}{11 - 4\frac{4}{5}}}{1\frac{4}{8}}=\textcolor{white}{\frac{27940}{68913}}$$return { ["body"] = 251, ["id"] = "kZaJJB_0508_1734", ["obtiznost"] = 1.93, ["reseni"] = { ["float"] = 0.40543874160173, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27940, ["jmenovatel"] = 68913 }, ["render"] = "\\frac{27940}{68913}", ["typ"] = "cislo" }, ["tex"] = "\\frac{27940}{68913}", ["y"] = 27940, ["z"] = 68913 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{12}}{3\\frac{4}{5}}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{5}{13} - \\frac{2\\frac{4}{12}}{3\\frac{4}{5}}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "11 - 4\\frac{4}{5}", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{5}{13} - \\frac{2\\frac{4}{12}}{3\\frac{4}{5}}}{11 - 4\\frac{4}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{5}{13} - \\frac{2\\frac{4}{12}}{3\\frac{4}{5}}}{11 - 4\\frac{4}{5}}}{1\\frac{4}{8}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.94, bodu=216, $$-24 - (2\frac{4}{8} + (-19 + 2\frac{2}{9}) + (-18)) + 10 - (1\frac{4}{8} + 2\frac{3}{9})=\textcolor{white}{14\frac{4}{9}}$$return { ["body"] = 216, ["id"] = "7y9aLy_0508_1734", ["obtiznost"] = 1.74, ["reseni"] = { ["float"] = 14.444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 130, ["jmenovatel"] = 9 }, ["render"] = "\\frac{1560}{108}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{4}{9}", ["x"] = 14, ["y"] = 4, ["z"] = 9 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -24, ["jmenovatel"] = 1 }, ["render"] = "-24", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "-19 + 2\\frac{2}{9}", ["typ"] = "plus" }, ["render"] = "2\\frac{4}{8} + (-19 + 2\\frac{2}{9})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{8} + (-19 + 2\\frac{2}{9}) + (-18)", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{8} + (-19 + 2\\frac{2}{9}) + (-18))", ["typ"] = "zavorka" }, ["render"] = "-24 - (2\\frac{4}{8} + (-19 + 2\\frac{2}{9}) + (-18))", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{8} + 2\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "(1\\frac{4}{8} + 2\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "10 - (1\\frac{4}{8} + 2\\frac{3}{9})", ["typ"] = "minus" }, ["render"] = "-24 - (2\\frac{4}{8} + (-19 + 2\\frac{2}{9}) + (-18)) + 10 - (1\\frac{4}{8} + 2\\frac{3}{9})", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.95, bodu=218, $$\frac{11 - 1\frac{1}{5} - (4\frac{4}{14} + 1\frac{3}{9})}{\frac{1\frac{3}{10}}{-17}}=\textcolor{white}{-54\frac{184}{273}}$$return { ["body"] = 218, ["id"] = "6q6r62_0508_1734", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = -54.673992673993, ["objekt"] = { ["hodnota"] = { ["citatel"] = -14926, ["jmenovatel"] = 273 }, ["render"] = "\\frac{74630}{-1365}", ["typ"] = "cislo" }, ["tex"] = "-54\\frac{184}{273}", ["x"] = -54, ["y"] = 184, ["z"] = 273 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "11 - 1\\frac{1}{5}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{14} + 1\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "(4\\frac{4}{14} + 1\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "11 - 1\\frac{1}{5} - (4\\frac{4}{14} + 1\\frac{3}{9})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{10}}{-17}", ["typ"] = "lomeno" }, ["render"] = "\\frac{11 - 1\\frac{1}{5} - (4\\frac{4}{14} + 1\\frac{3}{9})}{\\frac{1\\frac{3}{10}}{-17}}", ["typ"] = "lomeno" } }

seed: YHG1C6lknuGSeNx9zNlR_0.96, bodu=220, $$\frac{2\frac{1}{6} \cdot 2\frac{5}{15}}{3\frac{3}{13}} - (-15 + 4\frac{4}{10} - 19)=\textcolor{white}{31\frac{89}{540}}$$return { ["body"] = 220, ["id"] = "G6meBb_0508_1734", ["obtiznost"] = 1.76, ["reseni"] = { ["float"] = 31.164814814815, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16829, ["jmenovatel"] = 540 }, ["render"] = "\\frac{16829}{540}", ["typ"] = "cislo" }, ["tex"] = "31\\frac{89}{540}", ["x"] = 31, ["y"] = 89, ["z"] = 540 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{5}{15}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} \\cdot 2\\frac{5}{15}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{6} \\cdot 2\\frac{5}{15}}{3\\frac{3}{13}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "-15 + 4\\frac{4}{10}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "-15 + 4\\frac{4}{10} - 19", ["typ"] = "minus" }, ["render"] = "(-15 + 4\\frac{4}{10} - 19)", ["typ"] = "zavorka" }, ["render"] = "\\frac{2\\frac{1}{6} \\cdot 2\\frac{5}{15}}{3\\frac{3}{13}} - (-15 + 4\\frac{4}{10} - 19)", ["typ"] = "minus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.97, bodu=123, $$(-16 - \frac{3\frac{3}{5}}{15}) \cdot (-7 - \frac{13}{15})=\textcolor{white}{127\frac{283}{375}}$$return { ["body"] = 123, ["id"] = "hl19Sz_0508_1734", ["obtiznost"] = 1.17, ["reseni"] = { ["float"] = 127.75466666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 47908, ["jmenovatel"] = 375 }, ["render"] = "\\frac{47908}{375}", ["typ"] = "cislo" }, ["tex"] = "127\\frac{283}{375}", ["x"] = 127, ["y"] = 283, ["z"] = 375 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.97", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{5}}{15}", ["typ"] = "lomeno" }, ["render"] = "-16 - \\frac{3\\frac{3}{5}}{15}", ["typ"] = "minus" }, ["render"] = "(-16 - \\frac{3\\frac{3}{5}}{15})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{15}", ["typ"] = "lomeno" }, ["render"] = "-7 - \\frac{13}{15}", ["typ"] = "minus" }, ["render"] = "(-7 - \\frac{13}{15})", ["typ"] = "zavorka" }, ["render"] = "(-16 - \\frac{3\\frac{3}{5}}{15}) \\cdot (-7 - \\frac{13}{15})", ["typ"] = "krat" } }

seed: YHG1C6lknuGSeNx9zNlR_0.98, bodu=188, $$18 + 4\frac{4}{13} \cdot 10 - (2\frac{3}{7} - 8) + 2\frac{2}{7} - 13=\textcolor{white}{55\frac{85}{91}}$$return { ["body"] = 188, ["id"] = "w07QkY_0508_1734", ["obtiznost"] = 1.58, ["reseni"] = { ["float"] = 55.934065934066, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5090, ["jmenovatel"] = 91 }, ["render"] = "\\frac{35630}{637}", ["typ"] = "cislo" }, ["tex"] = "55\\frac{85}{91}", ["x"] = 55, ["y"] = 85, ["z"] = 91 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 56, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{13} \\cdot 10", ["typ"] = "krat" }, ["render"] = "18 + 4\\frac{4}{13} \\cdot 10", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{7} - 8", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{7} - 8)", ["typ"] = "zavorka" }, ["render"] = "18 + 4\\frac{4}{13} \\cdot 10 - (2\\frac{3}{7} - 8)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} - 13", ["typ"] = "minus" }, ["render"] = "18 + 4\\frac{4}{13} \\cdot 10 - (2\\frac{3}{7} - 8) + 2\\frac{2}{7} - 13", ["typ"] = "plus" } }

seed: YHG1C6lknuGSeNx9zNlR_0.99, bodu=225, $$\frac{\frac{14}{\frac{2\frac{5}{12}}{3\frac{2}{11}}}}{\frac{2\frac{4}{13}}{3\frac{1}{3}}}=\textcolor{white}{26\frac{598}{957}}$$return { ["body"] = 225, ["id"] = "l0fLwg_0508_1734", ["obtiznost"] = 1.79, ["reseni"] = { ["float"] = 26.62486938349, ["objekt"] = { ["hodnota"] = { ["citatel"] = 25480, ["jmenovatel"] = 957 }, ["render"] = "\\frac{76440}{2871}", ["typ"] = "cislo" }, ["tex"] = "26\\frac{598}{957}", ["x"] = 26, ["y"] = 598, ["z"] = 957 }, ["seed"] = "YHG1C6lknuGSeNx9zNlR_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{12}}{3\\frac{2}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{14}{\\frac{2\\frac{5}{12}}{3\\frac{2}{11}}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{13}}{3\\frac{1}{3}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{14}{\\frac{2\\frac{5}{12}}{3\\frac{2}{11}}}}{\\frac{2\\frac{4}{13}}{3\\frac{1}{3}}}", ["typ"] = "lomeno" } }

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