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Nahodny test, priklady s rostouci obtiznosti...

seed: jUl38SecKie0VXtF4zsE_0, bodu=5, $$6 \cdot 4 + 3 + 7=\textcolor{white}{34}$$return { ["body"] = 5, ["id"] = "s5ndwf_0211_1341", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 34, ["jmenovatel"] = 1 }, ["render"] = "\\frac{34}{1}", ["typ"] = "cislo" }, ["tex"] = "34", ["x"] = 34 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4 + 3", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4 + 3 + 7", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.01, bodu=5, $$4 \cdot 7 - (8 + 2)^2=\textcolor{white}{-72}$$return { ["body"] = 5, ["id"] = "jlcGJS_0211_1341", ["obtiznost"] = 0.0504, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -72, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-72}{1}", ["typ"] = "cislo" }, ["tex"] = "-72", ["x"] = -72 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.01", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "8 + 2", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(8 + 2)^2", ["typ"] = "mocnina" }, ["render"] = "4 \\cdot 7 - (8 + 2)^2", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.02, bodu=10, $$5 \cdot ((\frac{6}{9})^3 + 8)=\textcolor{white}{41\frac{13}{27}}$$return { ["body"] = 10, ["id"] = "O9QwVY_0211_1341", ["obtiznost"] = 0.034, ["reseni"] = { ["float"] = 41.481481481481, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1120, ["jmenovatel"] = 27 }, ["render"] = "\\frac{1120}{27}", ["typ"] = "cislo" }, ["tex"] = "41\\frac{13}{27}", ["x"] = 41, ["y"] = 13, ["z"] = 27 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.02", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{9}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{6}{9})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(\\frac{6}{9})^3 + 8", ["typ"] = "plus" }, ["render"] = "((\\frac{6}{9})^3 + 8)", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot ((\\frac{6}{9})^3 + 8)", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.03, bodu=10, $$\frac{\frac{-9}{7}}{6 + 6}=\textcolor{white}{-\frac{3}{28}}$$return { ["body"] = 10, ["id"] = "ggR3ky_0211_1341", ["obtiznost"] = 0.03, ["reseni"] = { ["float"] = -0.10714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 28 }, ["render"] = "\\frac{-9}{84}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3}{28}", ["y"] = -3, ["z"] = 28 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.03", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-9}{7}}{6 + 6}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.04, bodu=5, $$7 + 7 \cdot 10 - (-8)=\textcolor{white}{85}$$return { ["body"] = 5, ["id"] = "IyHom2_0211_1341", ["obtiznost"] = 0.04, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 85, ["jmenovatel"] = 1 }, ["render"] = "\\frac{85}{1}", ["typ"] = "cislo" }, ["tex"] = "85", ["x"] = 85 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 10 - (-8)", ["typ"] = "minus" }, ["render"] = "7 + 7 \\cdot 10 - (-8)", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.05, bodu=5, $$4 \cdot 9 \cdot 9=\textcolor{white}{324}$$return { ["body"] = 5, ["id"] = "6HiXmb_0211_1341", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 324, ["jmenovatel"] = 1 }, ["render"] = "\\frac{324}{1}", ["typ"] = "cislo" }, ["tex"] = "324", ["tex_float"] = "324", ["x"] = 324 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 9", ["typ"] = "krat" }, ["render"] = "4 \\cdot 9 \\cdot 9", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.06, bodu=5, $$9 + 5 + 7 + 7 + 4=\textcolor{white}{32}$$return { ["body"] = 5, ["id"] = "tEHMwM_0211_1341", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 1 }, ["render"] = "\\frac{32}{1}", ["typ"] = "cislo" }, ["tex"] = "32", ["x"] = 32 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "9 + 5", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "7 + 7 + 4", ["typ"] = "plus" }, ["render"] = "9 + 5 + 7 + 7 + 4", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.07, bodu=11, $$-8 \cdot \frac{5}{9}=\textcolor{white}{-4\frac{4}{9}}$$return { ["body"] = 11, ["id"] = "44KAnf_0211_1341", ["obtiznost"] = 0.07, ["reseni"] = { ["float"] = -4.4444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -40, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-40}{9}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{4}{9}", ["x"] = -4, ["y"] = 4, ["z"] = 9 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.07", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{9}", ["typ"] = "lomeno" }, ["render"] = "-8 \\cdot \\frac{5}{9}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.08, bodu=12, $$4 \cdot \frac{8 + 3}{8}=\textcolor{white}{5{,}5}$$return { ["body"] = 12, ["id"] = "WFTbAx_0211_1341", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = 5.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 2 }, ["render"] = "\\frac{44}{8}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{2}", ["tex_float"] = "5{,}5", ["x"] = 5, ["y"] = 1, ["z"] = 2 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "8 + 3", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8 + 3}{8}", ["typ"] = "lomeno" }, ["render"] = "4 \\cdot \\frac{8 + 3}{8}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.09, bodu=7, $$5 + (7 - (6 - 12))^2=\textcolor{white}{174}$$return { ["body"] = 7, ["id"] = "m7fUn6_0211_1341", ["obtiznost"] = 0.158, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 174, ["jmenovatel"] = 1 }, ["render"] = "\\frac{174}{1}", ["typ"] = "cislo" }, ["tex"] = "174", ["tex_float"] = "174", ["x"] = 174 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.09", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "6 - 12", ["typ"] = "minus" }, ["render"] = "(6 - 12)", ["typ"] = "zavorka" }, ["render"] = "7 - (6 - 12)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(7 - (6 - 12))^2", ["typ"] = "mocnina" }, ["render"] = "5 + (7 - (6 - 12))^2", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.1, bodu=12, $$9 + \frac{10}{-11} + 5=\textcolor{white}{13\frac{1}{11}}$$return { ["body"] = 12, ["id"] = "Qm6Jjt_0211_1341", ["obtiznost"] = 0.1, ["reseni"] = { ["float"] = 13.090909090909, ["objekt"] = { ["hodnota"] = { ["citatel"] = 144, ["jmenovatel"] = 11 }, ["render"] = "\\frac{144}{11}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{1}{11}", ["x"] = 13, ["y"] = 1, ["z"] = 11 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-11} + 5", ["typ"] = "plus" }, ["render"] = "9 + \\frac{10}{-11} + 5", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.11, bodu=17, $$(\frac{8}{\frac{8 + 4}{7}})^2=\textcolor{white}{21\frac{7}{9}}$$return { ["body"] = 17, ["id"] = "sBJl5I_0211_1341", ["obtiznost"] = 0.192, ["reseni"] = { ["float"] = 21.777777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 196, ["jmenovatel"] = 9 }, ["render"] = "\\frac{196}{9}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{7}{9}", ["x"] = 21, ["y"] = 7, ["z"] = 9 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.11", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "8 + 4", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{8 + 4}{7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{8}{\\frac{8 + 4}{7}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{8}{\\frac{8 + 4}{7}})^2", ["typ"] = "mocnina" } }

seed: jUl38SecKie0VXtF4zsE_0.12, bodu=6, $$(10 + 10) \cdot ((-7 + 6)^4 + (-12))=\textcolor{white}{-220}$$return { ["body"] = 6, ["id"] = "yXiRcj_0211_1341", ["obtiznost"] = 0.1208, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -220, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-220}{1}", ["typ"] = "cislo" }, ["tex"] = "-220", ["x"] = -220 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.12", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "10 + 10", ["typ"] = "plus" }, ["render"] = "(10 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-7 + 6", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-7 + 6)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(-7 + 6)^4 + (-12)", ["typ"] = "plus" }, ["render"] = "((-7 + 6)^4 + (-12))", ["typ"] = "zavorka" }, ["render"] = "(10 + 10) \\cdot ((-7 + 6)^4 + (-12))", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.13, bodu=44, $$6 + \frac{3\frac{3}{7} + 3\frac{2}{5}}{2}=\textcolor{white}{9\frac{29}{70}}$$return { ["body"] = 44, ["id"] = "0GUWGL_0211_1341", ["obtiznost"] = 0.53, ["reseni"] = { ["float"] = 9.4142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 659, ["jmenovatel"] = 70 }, ["render"] = "\\frac{659}{70}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{29}{70}", ["x"] = 9, ["y"] = 29, ["z"] = 70 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{7} + 3\\frac{2}{5}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{7} + 3\\frac{2}{5}}{2}", ["typ"] = "lomeno" }, ["render"] = "6 + \\frac{3\\frac{3}{7} + 3\\frac{2}{5}}{2}", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.14, bodu=14, $$(\frac{11}{-11})^2 + 6 + 7=\textcolor{white}{14}$$return { ["body"] = 14, ["id"] = "8haiKM_0211_1341", ["obtiznost"] = 0.1408, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "\\frac{14}{1}", ["typ"] = "cislo" }, ["tex"] = "14", ["tex_float"] = "14", ["x"] = 14 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.14", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-11}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{11}{-11})^2", ["typ"] = "mocnina" }, ["c2"] = { ["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"] = "(\\frac{11}{-11})^2 + 6 + 7", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.15, bodu=7, $$8 + 13 - 6 - 4=\textcolor{white}{11}$$return { ["body"] = 7, ["id"] = "N3AIF3_0211_1341", ["obtiznost"] = 0.15, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "\\frac{11}{1}", ["typ"] = "cislo" }, ["tex"] = "11", ["x"] = 11 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["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 - 6", ["typ"] = "minus" }, ["render"] = "8 + 13 - 6", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "8 + 13 - 6 - 4", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.16, bodu=16, $$\frac{\frac{4}{(-11 + 8)^3}}{-8}=\textcolor{white}{\frac{1}{54}}$$return { ["body"] = 16, ["id"] = "spDmaD_0211_1341", ["obtiznost"] = 0.1712, ["reseni"] = { ["float"] = 0.018518518518519, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 54 }, ["render"] = "\\frac{-4}{-216}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{54}", ["y"] = 1, ["z"] = 54 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-11 + 8", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-11 + 8)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{4}{(-11 + 8)^3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4}{(-11 + 8)^3}}{-8}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.17, bodu=8, $$-10 \cdot 6 \cdot 10=\textcolor{white}{-600}$$return { ["body"] = 8, ["id"] = "gqM8oC_0211_1341", ["obtiznost"] = 0.17, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -600, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-600}{1}", ["typ"] = "cislo" }, ["tex"] = "-600", ["tex_float"] = "-600", ["x"] = -600 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.17", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 6 \\cdot 10", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.18, bodu=16, $$\frac{7}{10} \cdot 7=\textcolor{white}{4{,}9}$$return { ["body"] = 16, ["id"] = "tZ3WFV_0211_1341", ["obtiznost"] = 0.18, ["reseni"] = { ["float"] = 4.9, ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 10 }, ["render"] = "\\frac{49}{10}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{9}{10}", ["tex_float"] = "4{,}9", ["x"] = 4, ["y"] = 9, ["z"] = 10 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{10} \\cdot 7", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.19, bodu=31, $$\frac{3}{7 \cdot (9 + 4\frac{1}{2})}=\textcolor{white}{\frac{2}{63}}$$return { ["body"] = 31, ["id"] = "5kcZnd_0211_1341", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = 0.031746031746032, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 63 }, ["render"] = "\\frac{6}{189}", ["typ"] = "cislo" }, ["tex"] = "\\frac{2}{63}", ["y"] = 2, ["z"] = 63 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "9 + 4\\frac{1}{2}", ["typ"] = "plus" }, ["render"] = "(9 + 4\\frac{1}{2})", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (9 + 4\\frac{1}{2})", ["typ"] = "krat" }, ["render"] = "\\frac{3}{7 \\cdot (9 + 4\\frac{1}{2})}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.2, bodu=32, $$\frac{4}{\frac{3\frac{2}{7}}{8} - 7}=\textcolor{white}{-\frac{224}{369}}$$return { ["body"] = 32, ["id"] = "Jpmy5f_0211_1341", ["obtiznost"] = 0.4, ["reseni"] = { ["float"] = -0.6070460704607, ["objekt"] = { ["hodnota"] = { ["citatel"] = -224, ["jmenovatel"] = 369 }, ["render"] = "\\frac{224}{-369}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{224}{369}", ["y"] = -224, ["z"] = 369 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.2", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{7}}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{7}}{8} - 7", ["typ"] = "minus" }, ["render"] = "\\frac{4}{\\frac{3\\frac{2}{7}}{8} - 7}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.21, bodu=18, $$-9 \cdot 7 \cdot (2\frac{4}{4} - 4)^3=\textcolor{white}{63}$$return { ["body"] = 18, ["id"] = "Jkl7tl_0211_1341", ["obtiznost"] = 0.2108, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 63, ["jmenovatel"] = 1 }, ["render"] = "\\frac{63}{1}", ["typ"] = "cislo" }, ["tex"] = "63", ["tex_float"] = "63", ["x"] = 63 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.21", ["zadani"] = { ["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"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "2\\frac{4}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{4} - 4", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(2\\frac{4}{4} - 4)^3", ["typ"] = "mocnina" }, ["render"] = "-9 \\cdot 7 \\cdot (2\\frac{4}{4} - 4)^3", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.22, bodu=19, $$(10 - 8)^3 - \frac{9}{10}=\textcolor{white}{7{,}1}$$return { ["body"] = 19, ["id"] = "yIHIZ1_0211_1341", ["obtiznost"] = 0.2236, ["reseni"] = { ["float"] = 7.1, ["objekt"] = { ["hodnota"] = { ["citatel"] = 71, ["jmenovatel"] = 10 }, ["render"] = "\\frac{71}{10}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{1}{10}", ["tex_float"] = "7{,}1", ["x"] = 7, ["y"] = 1, ["z"] = 10 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.22", ["zadani"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(10 - 8)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{10}", ["typ"] = "lomeno" }, ["render"] = "(10 - 8)^3 - \\frac{9}{10}", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.23, bodu=48, $$\frac{-8}{(\frac{12}{9})^4 \cdot 2\frac{4}{6}}=\textcolor{white}{-\frac{243}{256}}$$return { ["body"] = 48, ["id"] = "1bxGvU_0211_1341", ["obtiznost"] = 0.5648, ["reseni"] = { ["float"] = -0.94921875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -243, ["jmenovatel"] = 256 }, ["render"] = "\\frac{-1944}{2048}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{243}{256}", ["y"] = -243, ["z"] = 256 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.23", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{9}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{12}{9})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "(\\frac{12}{9})^4 \\cdot 2\\frac{4}{6}", ["typ"] = "krat" }, ["render"] = "\\frac{-8}{(\\frac{12}{9})^4 \\cdot 2\\frac{4}{6}}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.24, bodu=20, $$\frac{10}{7 \cdot 6 + 6}=\textcolor{white}{\frac{5}{24}}$$return { ["body"] = 20, ["id"] = "BX17AZ_0211_1341", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = 0.20833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 24 }, ["render"] = "\\frac{10}{48}", ["typ"] = "cislo" }, ["tex"] = "\\frac{5}{24}", ["y"] = 5, ["z"] = 24 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.24", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 6 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{10}{7 \\cdot 6 + 6}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.25, bodu=80, $$\frac{1\frac{3}{9}}{7} \cdot \frac{4\frac{4}{8}}{4\frac{1}{5}}=\textcolor{white}{\frac{10}{49}}$$return { ["body"] = 80, ["id"] = "7QmJdp_0211_1341", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = 0.20408163265306, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 49 }, ["render"] = "\\frac{60}{294}", ["typ"] = "cislo" }, ["tex"] = "\\frac{10}{49}", ["y"] = 10, ["z"] = 49 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{9}}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8}}{4\\frac{1}{5}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{3}{9}}{7} \\cdot \\frac{4\\frac{4}{8}}{4\\frac{1}{5}}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.26, bodu=22, $$\frac{\frac{9}{8}}{(9 - 7)^3}=\textcolor{white}{\frac{9}{64}}$$return { ["body"] = 22, ["id"] = "4fGw6b_0211_1341", ["obtiznost"] = 0.2636, ["reseni"] = { ["float"] = 0.140625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 64 }, ["render"] = "\\frac{9}{64}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{64}", ["y"] = 9, ["z"] = 64 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "9 - 7", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(9 - 7)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{9}{8}}{(9 - 7)^3}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.27, bodu=48, $$(\frac{-6}{-8} - (-6))^2 - 11=\textcolor{white}{34\frac{9}{16}}$$return { ["body"] = 48, ["id"] = "w6fJcQ_0211_1341", ["obtiznost"] = 0.568, ["reseni"] = { ["float"] = 34.5625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 553, ["jmenovatel"] = 16 }, ["render"] = "\\frac{553}{16}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{9}{16}", ["x"] = 34, ["y"] = 9, ["z"] = 16 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.27", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{-8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{-8} - (-6)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-6}{-8} - (-6))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(\\frac{-6}{-8} - (-6))^2 - 11", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.28, bodu=60, $$3\frac{5}{11} - \frac{(\frac{5}{5})^4}{3\frac{1}{6}}=\textcolor{white}{3\frac{29}{209}}$$return { ["body"] = 60, ["id"] = "8PQkl0_0211_1341", ["obtiznost"] = 0.6808, ["reseni"] = { ["float"] = 3.1387559808612, ["objekt"] = { ["hodnota"] = { ["citatel"] = 656, ["jmenovatel"] = 209 }, ["render"] = "\\frac{656}{209}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{29}{209}", ["x"] = 3, ["y"] = 29, ["z"] = 209 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.28", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{5}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{5}{5})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{5}{5})^4}{3\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{5}{11} - \\frac{(\\frac{5}{5})^4}{3\\frac{1}{6}}", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.29, bodu=25, $$7 \cdot -14 \cdot (\frac{9}{-6})^3=\textcolor{white}{330{,}75}$$return { ["body"] = 25, ["id"] = "Bk67M9_0211_1341", ["obtiznost"] = 0.304, ["reseni"] = { ["float"] = 330.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1323, ["jmenovatel"] = 4 }, ["render"] = "\\frac{1323}{4}", ["typ"] = "cislo" }, ["tex"] = "330\\frac{3}{4}", ["tex_float"] = "330{,}75", ["x"] = 330, ["y"] = 3, ["z"] = 4 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.29", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{9}{-6})^3", ["typ"] = "mocnina" }, ["render"] = "-14 \\cdot (\\frac{9}{-6})^3", ["typ"] = "krat" }, ["render"] = "7 \\cdot -14 \\cdot (\\frac{9}{-6})^3", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.3, bodu=41, $$\frac{9}{-10 \cdot 12 + 10 + 3\frac{1}{5}}=\textcolor{white}{-\frac{15}{178}}$$return { ["body"] = 41, ["id"] = "J37avr_0211_1341", ["obtiznost"] = 0.5, ["reseni"] = { ["float"] = -0.084269662921348, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 178 }, ["render"] = "\\frac{45}{-534}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{15}{178}", ["y"] = -15, ["z"] = 178 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.3", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "10 + 3\\frac{1}{5}", ["typ"] = "plus" }, ["render"] = "-10 \\cdot 12 + 10 + 3\\frac{1}{5}", ["typ"] = "plus" }, ["render"] = "\\frac{9}{-10 \\cdot 12 + 10 + 3\\frac{1}{5}}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.31, bodu=42, $$12 + (-7 \cdot (3\frac{3}{9} - 10) + 8)=\textcolor{white}{66\frac{2}{3}}$$return { ["body"] = 42, ["id"] = "nIhoCU_0211_1341", ["obtiznost"] = 0.51, ["reseni"] = { ["float"] = 66.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 200, ["jmenovatel"] = 3 }, ["render"] = "\\frac{200}{3}", ["typ"] = "cislo" }, ["tex"] = "66\\frac{2}{3}", ["x"] = 66, ["y"] = 2, ["z"] = 3 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.31", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} - 10", ["typ"] = "minus" }, ["render"] = "(3\\frac{3}{9} - 10)", ["typ"] = "zavorka" }, ["render"] = "-7 \\cdot (3\\frac{3}{9} - 10)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot (3\\frac{3}{9} - 10) + 8", ["typ"] = "plus" }, ["render"] = "12 + (-7 \\cdot (3\\frac{3}{9} - 10) + 8)", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.32, bodu=26, $$\frac{(-8 - 13) \cdot -2}{7}=\textcolor{white}{6}$$return { ["body"] = 26, ["id"] = "wKKCVF_0211_1341", ["obtiznost"] = 0.32, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "\\frac{42}{7}", ["typ"] = "cislo" }, ["tex"] = "6", ["x"] = 6 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-8 - 13", ["typ"] = "minus" }, ["render"] = "(-8 - 13)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["render"] = "(-8 - 13) \\cdot -2", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{(-8 - 13) \\cdot -2}{7}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.33, bodu=22, $$((12 + 8 - (12 - (-10))) \cdot 4)^3=\textcolor{white}{-512}$$return { ["body"] = 22, ["id"] = "TOZAJz_0211_1341", ["obtiznost"] = 0.5352, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -512, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-512}{1}", ["typ"] = "cislo" }, ["tex"] = "-512", ["tex_float"] = "-512", ["x"] = -512 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.33", ["zadani"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "12 + 8", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["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" }, ["render"] = "(12 - (-10))", ["typ"] = "zavorka" }, ["render"] = "12 + 8 - (12 - (-10))", ["typ"] = "minus" }, ["render"] = "(12 + 8 - (12 - (-10)))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(12 + 8 - (12 - (-10))) \\cdot 4", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "((12 + 8 - (12 - (-10))) \\cdot 4)^3", ["typ"] = "mocnina" } }

seed: jUl38SecKie0VXtF4zsE_0.34, bodu=45, $$1\frac{1}{5} \cdot \frac{7}{13 + 11 + (-6)}=\textcolor{white}{\frac{7}{15}}$$return { ["body"] = 45, ["id"] = "q1IBjx_0211_1341", ["obtiznost"] = 0.54, ["reseni"] = { ["float"] = 0.46666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 15 }, ["render"] = "\\frac{42}{90}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{15}", ["y"] = 7, ["z"] = 15 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.34", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["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"] = "13 + 11 + (-6)", ["typ"] = "plus" }, ["render"] = "\\frac{7}{13 + 11 + (-6)}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{5} \\cdot \\frac{7}{13 + 11 + (-6)}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.35, bodu=28, $$\frac{10}{-7} - (-9 \cdot 13)=\textcolor{white}{115\frac{4}{7}}$$return { ["body"] = 28, ["id"] = "EZ6TFK_0211_1341", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = 115.57142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 809, ["jmenovatel"] = 7 }, ["render"] = "\\frac{809}{7}", ["typ"] = "cislo" }, ["tex"] = "115\\frac{4}{7}", ["x"] = 115, ["y"] = 4, ["z"] = 7 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.35", ["zadani"] = { ["c1"] = { ["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" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 13", ["typ"] = "krat" }, ["render"] = "\\frac{10}{-7} - (-9 \\cdot 13)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.36, bodu=47, $$-10 \cdot 11 + 9 \cdot 3\frac{2}{4}=\textcolor{white}{-78{,}5}$$return { ["body"] = 47, ["id"] = "rzrUHS_0211_1341", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = -78.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -157, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-157}{2}", ["typ"] = "cislo" }, ["tex"] = "-78\\frac{1}{2}", ["tex_float"] = "-78{,}5", ["x"] = -78, ["y"] = 1, ["z"] = 2 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 3\\frac{2}{4}", ["typ"] = "krat" }, ["render"] = "-10 \\cdot 11 + 9 \\cdot 3\\frac{2}{4}", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.37, bodu=70, $$\frac{11}{\frac{-11}{2\frac{4}{7}} + 4\frac{5}{6} - (-6)}=\textcolor{white}{1\frac{40}{59}}$$return { ["body"] = 70, ["id"] = "TI47Id_0211_1341", ["obtiznost"] = 0.77, ["reseni"] = { ["float"] = 1.6779661016949, ["objekt"] = { ["hodnota"] = { ["citatel"] = 99, ["jmenovatel"] = 59 }, ["render"] = "\\frac{99}{59}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{40}{59}", ["x"] = 1, ["y"] = 40, ["z"] = 59 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.37", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{2\\frac{4}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{2\\frac{4}{7}} + 4\\frac{5}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{2\\frac{4}{7}} + 4\\frac{5}{6} - (-6)", ["typ"] = "minus" }, ["render"] = "\\frac{11}{\\frac{-11}{2\\frac{4}{7}} + 4\\frac{5}{6} - (-6)}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.38, bodu=49, $$\frac{1\frac{5}{8}}{7} + \frac{10}{8}=\textcolor{white}{1\frac{27}{56}}$$return { ["body"] = 49, ["id"] = "AzlTzB_0211_1341", ["obtiznost"] = 0.58, ["reseni"] = { ["float"] = 1.4821428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 83, ["jmenovatel"] = 56 }, ["render"] = "\\frac{332}{224}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{27}{56}", ["x"] = 1, ["y"] = 27, ["z"] = 56 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{8}}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{8}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{5}{8}}{7} + \\frac{10}{8}", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.39, bodu=55, $$6 - ((1\frac{4}{7} \cdot 7)^2 - 3)=\textcolor{white}{-112}$$return { ["body"] = 55, ["id"] = "OHbNev_0211_1341", ["obtiznost"] = 0.6388, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -112, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-112}{1}", ["typ"] = "cislo" }, ["tex"] = "-112", ["x"] = -112 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.39", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} \\cdot 7", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{4}{7} \\cdot 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "(1\\frac{4}{7} \\cdot 7)^2 - 3", ["typ"] = "minus" }, ["render"] = "((1\\frac{4}{7} \\cdot 7)^2 - 3)", ["typ"] = "zavorka" }, ["render"] = "6 - ((1\\frac{4}{7} \\cdot 7)^2 - 3)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.4, bodu=51, $$\frac{\frac{\frac{5}{1\frac{2}{5}}}{6}}{-12}=\textcolor{white}{-\frac{25}{504}}$$return { ["body"] = 51, ["id"] = "SGTDG6_0211_1341", ["obtiznost"] = 0.6, ["reseni"] = { ["float"] = -0.049603174603175, ["objekt"] = { ["hodnota"] = { ["citatel"] = -25, ["jmenovatel"] = 504 }, ["render"] = "\\frac{25}{-504}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{25}{504}", ["y"] = -25, ["z"] = 504 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{1\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{5}{1\\frac{2}{5}}}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{5}{1\\frac{2}{5}}}{6}}{-12}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.41, bodu=75, $$\frac{-7 + (-9) - (3\frac{4}{10} - 12 + 6)}{4\frac{3}{7}}=\textcolor{white}{-3\frac{4}{155}}$$return { ["body"] = 75, ["id"] = "nsjQ7c_0211_1341", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = -3.0258064516129, ["objekt"] = { ["hodnota"] = { ["citatel"] = -469, ["jmenovatel"] = 155 }, ["render"] = "\\frac{-469}{155}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{4}{155}", ["x"] = -3, ["y"] = 4, ["z"] = 155 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["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" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} - 12", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} - 12 + 6", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{10} - 12 + 6)", ["typ"] = "zavorka" }, ["render"] = "-7 + (-9) - (3\\frac{4}{10} - 12 + 6)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-7 + (-9) - (3\\frac{4}{10} - 12 + 6)}{4\\frac{3}{7}}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.42, bodu=68, $$(12 + 6)^2 + 8 \cdot (2\frac{1}{6} - 16 + (-8))=\textcolor{white}{149\frac{1}{3}}$$return { ["body"] = 68, ["id"] = "yjkGnB_0211_1341", ["obtiznost"] = 0.75, ["reseni"] = { ["float"] = 149.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 448, ["jmenovatel"] = 3 }, ["render"] = "\\frac{448}{3}", ["typ"] = "cislo" }, ["tex"] = "149\\frac{1}{3}", ["x"] = 149, ["y"] = 1, ["z"] = 3 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.42", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "12 + 6", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(12 + 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - 16", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - 16 + (-8)", ["typ"] = "plus" }, ["render"] = "(2\\frac{1}{6} - 16 + (-8))", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (2\\frac{1}{6} - 16 + (-8))", ["typ"] = "krat" }, ["render"] = "(12 + 6)^2 + 8 \\cdot (2\\frac{1}{6} - 16 + (-8))", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.43, bodu=81, $$((-15 + 11)^3 - 12) \cdot (-13 + 4\frac{4}{7} + 2\frac{4}{7})=\textcolor{white}{445\frac{1}{7}}$$return { ["body"] = 81, ["id"] = "JoYsPp_0211_1341", ["obtiznost"] = 0.856, ["reseni"] = { ["float"] = 445.14285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3116, ["jmenovatel"] = 7 }, ["render"] = "\\frac{3116}{7}", ["typ"] = "cislo" }, ["tex"] = "445\\frac{1}{7}", ["x"] = 445, ["y"] = 1, ["z"] = 7 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.43", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-15 + 11", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-15 + 11)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(-15 + 11)^3 - 12", ["typ"] = "minus" }, ["render"] = "((-15 + 11)^3 - 12)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "-13 + 4\\frac{4}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "-13 + 4\\frac{4}{7} + 2\\frac{4}{7}", ["typ"] = "plus" }, ["render"] = "(-13 + 4\\frac{4}{7} + 2\\frac{4}{7})", ["typ"] = "zavorka" }, ["render"] = "((-15 + 11)^3 - 12) \\cdot (-13 + 4\\frac{4}{7} + 2\\frac{4}{7})", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.44, bodu=56, $$\frac{\frac{-8}{1\frac{2}{5} + (-10)}}{\frac{11}{12}}=\textcolor{white}{1\frac{7}{473}}$$return { ["body"] = 56, ["id"] = "Fo56c4_0211_1341", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = 1.014799154334, ["objekt"] = { ["hodnota"] = { ["citatel"] = 480, ["jmenovatel"] = 473 }, ["render"] = "\\frac{480}{473}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{7}{473}", ["x"] = 1, ["y"] = 7, ["z"] = 473 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} + (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{-8}{1\\frac{2}{5} + (-10)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{-8}{1\\frac{2}{5} + (-10)}}{\\frac{11}{12}}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.45, bodu=66, $$(5 + 8) \cdot (6 + 15 - (2\frac{1}{3} + (-7))^2)=\textcolor{white}{-10\frac{1}{9}}$$return { ["body"] = 66, ["id"] = "Hz8gBN_0211_1341", ["obtiznost"] = 0.732, ["reseni"] = { ["float"] = -10.111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -91, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-91}{9}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{1}{9}", ["x"] = -10, ["y"] = 1, ["z"] = 9 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.45", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "5 + 8", ["typ"] = "plus" }, ["render"] = "(5 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{3} + (-7)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(2\\frac{1}{3} + (-7))^2", ["typ"] = "mocnina" }, ["render"] = "15 - (2\\frac{1}{3} + (-7))^2", ["typ"] = "minus" }, ["render"] = "6 + 15 - (2\\frac{1}{3} + (-7))^2", ["typ"] = "plus" }, ["render"] = "(6 + 15 - (2\\frac{1}{3} + (-7))^2)", ["typ"] = "zavorka" }, ["render"] = "(5 + 8) \\cdot (6 + 15 - (2\\frac{1}{3} + (-7))^2)", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.46, bodu=38, $$13 + (\frac{12}{14 + 10})^2 - (9 - 4)=\textcolor{white}{8{,}25}$$return { ["body"] = 38, ["id"] = "HUAvTT_0211_1341", ["obtiznost"] = 0.462, ["reseni"] = { ["float"] = 8.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 4 }, ["render"] = "\\frac{33}{4}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{1}{4}", ["tex_float"] = "8{,}25", ["x"] = 8, ["y"] = 1, ["z"] = 4 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "14 + 10", ["typ"] = "plus" }, ["render"] = "\\frac{12}{14 + 10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{12}{14 + 10})^2", ["typ"] = "mocnina" }, ["render"] = "13 + (\\frac{12}{14 + 10})^2", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "9 - 4", ["typ"] = "minus" }, ["render"] = "(9 - 4)", ["typ"] = "zavorka" }, ["render"] = "13 + (\\frac{12}{14 + 10})^2 - (9 - 4)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.47, bodu=83, $$\frac{-11}{2\frac{2}{7} + \frac{\frac{10}{3\frac{2}{6}}}{7}}=\textcolor{white}{-4\frac{1}{19}}$$return { ["body"] = 83, ["id"] = "cIxHoU_0211_1341", ["obtiznost"] = 0.87, ["reseni"] = { ["float"] = -4.0526315789474, ["objekt"] = { ["hodnota"] = { ["citatel"] = -77, ["jmenovatel"] = 19 }, ["render"] = "\\frac{-77}{19}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{1}{19}", ["x"] = -4, ["y"] = 1, ["z"] = 19 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{3\\frac{2}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{10}{3\\frac{2}{6}}}{7}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{2}{7} + \\frac{\\frac{10}{3\\frac{2}{6}}}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{-11}{2\\frac{2}{7} + \\frac{\\frac{10}{3\\frac{2}{6}}}{7}}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.48, bodu=60, $$(1\frac{1}{6} + (-10)) \cdot 12 \cdot 5 \cdot 5=\textcolor{white}{-2650}$$return { ["body"] = 60, ["id"] = "x7Zoeb_0211_1341", ["obtiznost"] = 0.68, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -2650, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-15900}{6}", ["typ"] = "cislo" }, ["tex"] = "-2650", ["x"] = -2650 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.48", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{6} + (-10)", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{6} + (-10))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 5 \\cdot 5", ["typ"] = "krat" }, ["render"] = "(1\\frac{1}{6} + (-10)) \\cdot 12 \\cdot 5 \\cdot 5", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.49, bodu=40, $$\frac{13}{10} + \frac{9}{10} + 14=\textcolor{white}{16{,}2}$$return { ["body"] = 40, ["id"] = "AjgZ6b_0211_1341", ["obtiznost"] = 0.49, ["reseni"] = { ["float"] = 16.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 5 }, ["render"] = "\\frac{162}{10}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{1}{5}", ["tex_float"] = "16{,}2", ["x"] = 16, ["y"] = 1, ["z"] = 5 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.49", ["zadani"] = { ["c1"] = { ["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" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{10} + 14", ["typ"] = "plus" }, ["render"] = "\\frac{13}{10} + \\frac{9}{10} + 14", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.5, bodu=113, $$\frac{3\frac{1}{4}}{4\frac{3}{7}} \cdot 3\frac{4}{7} - 9 - (-12)=\textcolor{white}{5\frac{77}{124}}$$return { ["body"] = 113, ["id"] = "WOIIMW_0211_1341", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = 5.6209677419355, ["objekt"] = { ["hodnota"] = { ["citatel"] = 697, ["jmenovatel"] = 124 }, ["render"] = "\\frac{697}{124}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{77}{124}", ["x"] = 5, ["y"] = 77, ["z"] = 124 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{7}} \\cdot 3\\frac{4}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{7}} \\cdot 3\\frac{4}{7} - 9", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{4}}{4\\frac{3}{7}} \\cdot 3\\frac{4}{7} - 9 - (-12)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.51, bodu=42, $$(15 + 13 + 16) \cdot (-9 + \frac{9}{14})=\textcolor{white}{-367\frac{5}{7}}$$return { ["body"] = 42, ["id"] = "COYPZ6_0211_1341", ["obtiznost"] = 0.51, ["reseni"] = { ["float"] = -367.71428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2574, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-5148}{14}", ["typ"] = "cislo" }, ["tex"] = "-367\\frac{5}{7}", ["x"] = -367, ["y"] = 5, ["z"] = 7 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.51", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "15 + 13 + 16", ["typ"] = "plus" }, ["render"] = "(15 + 13 + 16)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{14}", ["typ"] = "lomeno" }, ["render"] = "-9 + \\frac{9}{14}", ["typ"] = "plus" }, ["render"] = "(-9 + \\frac{9}{14})", ["typ"] = "zavorka" }, ["render"] = "(15 + 13 + 16) \\cdot (-9 + \\frac{9}{14})", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.52, bodu=74, $$13 - ((\frac{1\frac{2}{3} \cdot -3}{13})^2 + (-8))=\textcolor{white}{20\frac{144}{169}}$$return { ["body"] = 74, ["id"] = "N9XS6i_0211_1341", ["obtiznost"] = 0.7976, ["reseni"] = { ["float"] = 20.852071005917, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3524, ["jmenovatel"] = 169 }, ["render"] = "\\frac{3524}{169}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{144}{169}", ["x"] = 20, ["y"] = 144, ["z"] = 169 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.52", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{3} \\cdot -3", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{3} \\cdot -3}{13}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{1\\frac{2}{3} \\cdot -3}{13})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "(\\frac{1\\frac{2}{3} \\cdot -3}{13})^2 + (-8)", ["typ"] = "plus" }, ["render"] = "((\\frac{1\\frac{2}{3} \\cdot -3}{13})^2 + (-8))", ["typ"] = "zavorka" }, ["render"] = "13 - ((\\frac{1\\frac{2}{3} \\cdot -3}{13})^2 + (-8))", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.53, bodu=66, $$12 \cdot (12 - (-12 - (-8 - (-6))^2 + 1\frac{4}{8}))=\textcolor{white}{318}$$return { ["body"] = 66, ["id"] = "bCRZC0_0211_1341", ["obtiznost"] = 0.732, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 318, ["jmenovatel"] = 1 }, ["render"] = "\\frac{636}{2}", ["typ"] = "cislo" }, ["tex"] = "318", ["x"] = 318 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.53", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["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"] = 2, ["render"] = "(-8 - (-6))^2", ["typ"] = "mocnina" }, ["render"] = "-12 - (-8 - (-6))^2", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-12 - (-8 - (-6))^2 + 1\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "(-12 - (-8 - (-6))^2 + 1\\frac{4}{8})", ["typ"] = "zavorka" }, ["render"] = "12 - (-12 - (-8 - (-6))^2 + 1\\frac{4}{8})", ["typ"] = "minus" }, ["render"] = "(12 - (-12 - (-8 - (-6))^2 + 1\\frac{4}{8}))", ["typ"] = "zavorka" }, ["render"] = "12 \\cdot (12 - (-12 - (-8 - (-6))^2 + 1\\frac{4}{8}))", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.54, bodu=67, $$10 - (-17) + \frac{7}{2\frac{1}{6} - 13}=\textcolor{white}{26\frac{23}{65}}$$return { ["body"] = 67, ["id"] = "aRJ4D9_0211_1341", ["obtiznost"] = 0.74, ["reseni"] = { ["float"] = 26.353846153846, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1713, ["jmenovatel"] = 65 }, ["render"] = "\\frac{1713}{65}", ["typ"] = "cislo" }, ["tex"] = "26\\frac{23}{65}", ["x"] = 26, ["y"] = 23, ["z"] = 65 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "10 - (-17)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - 13", ["typ"] = "minus" }, ["render"] = "\\frac{7}{2\\frac{1}{6} - 13}", ["typ"] = "lomeno" }, ["render"] = "10 - (-17) + \\frac{7}{2\\frac{1}{6} - 13}", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.55, bodu=68, $$-10 + 16 - (3\frac{4}{9} - (\frac{-5}{10})^3)=\textcolor{white}{2\frac{31}{72}}$$return { ["body"] = 68, ["id"] = "xJYk1X_0211_1341", ["obtiznost"] = 0.7536, ["reseni"] = { ["float"] = 2.4305555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 175, ["jmenovatel"] = 72 }, ["render"] = "\\frac{175}{72}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{31}{72}", ["x"] = 2, ["y"] = 31, ["z"] = 72 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "-10 + 16", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{10}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-5}{10})^3", ["typ"] = "mocnina" }, ["render"] = "3\\frac{4}{9} - (\\frac{-5}{10})^3", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{9} - (\\frac{-5}{10})^3)", ["typ"] = "zavorka" }, ["render"] = "-10 + 16 - (3\\frac{4}{9} - (\\frac{-5}{10})^3)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.56, bodu=122, $$11 \cdot (\frac{-11}{9} + 4\frac{2}{3} + 4\frac{5}{12} - 1\frac{2}{4})=\textcolor{white}{69\frac{35}{36}}$$return { ["body"] = 122, ["id"] = "FdNYA3_0211_1341", ["obtiznost"] = 1.16, ["reseni"] = { ["float"] = 69.972222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2519, ["jmenovatel"] = 36 }, ["render"] = "\\frac{2519}{36}", ["typ"] = "cislo" }, ["tex"] = "69\\frac{35}{36}", ["x"] = 69, ["y"] = 35, ["z"] = 36 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.56", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{12} - 1\\frac{2}{4}", ["typ"] = "minus" }, ["render"] = "4\\frac{2}{3} + 4\\frac{5}{12} - 1\\frac{2}{4}", ["typ"] = "plus" }, ["render"] = "\\frac{-11}{9} + 4\\frac{2}{3} + 4\\frac{5}{12} - 1\\frac{2}{4}", ["typ"] = "plus" }, ["render"] = "(\\frac{-11}{9} + 4\\frac{2}{3} + 4\\frac{5}{12} - 1\\frac{2}{4})", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (\\frac{-11}{9} + 4\\frac{2}{3} + 4\\frac{5}{12} - 1\\frac{2}{4})", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.57, bodu=95, $$2\frac{2}{9} \cdot -10 - (\frac{13}{4\frac{4}{11}} + 8)=\textcolor{white}{-33\frac{29}{144}}$$return { ["body"] = 95, ["id"] = "kiwCJm_0211_1341", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = -33.201388888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4781, ["jmenovatel"] = 144 }, ["render"] = "\\frac{-14343}{432}", ["typ"] = "cislo" }, ["tex"] = "-33\\frac{29}{144}", ["x"] = -33, ["y"] = 29, ["z"] = 144 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{9} \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{4\\frac{4}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{4\\frac{4}{11}} + 8", ["typ"] = "plus" }, ["render"] = "(\\frac{13}{4\\frac{4}{11}} + 8)", ["typ"] = "zavorka" }, ["render"] = "2\\frac{2}{9} \\cdot -10 - (\\frac{13}{4\\frac{4}{11}} + 8)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.58, bodu=71, $$-11 - (13 + 7) + (-12 - 1\frac{3}{8}) - 12=\textcolor{white}{-56{,}375}$$return { ["body"] = 71, ["id"] = "6K21e1_0211_1341", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = -56.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -451, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-451}{8}", ["typ"] = "cislo" }, ["tex"] = "-56\\frac{3}{8}", ["tex_float"] = "-56{,}375", ["x"] = -56, ["y"] = 3, ["z"] = 8 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "13 + 7", ["typ"] = "plus" }, ["render"] = "(13 + 7)", ["typ"] = "zavorka" }, ["render"] = "-11 - (13 + 7)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "-12 - 1\\frac{3}{8}", ["typ"] = "minus" }, ["render"] = "-11 - (13 + 7) + (-12 - 1\\frac{3}{8})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-11 - (13 + 7) + (-12 - 1\\frac{3}{8}) - 12", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.59, bodu=73, $$(13 + 8 + 16) \cdot 4 \cdot 2\frac{2}{3}=\textcolor{white}{394\frac{2}{3}}$$return { ["body"] = 73, ["id"] = "NPpNzs_0211_1341", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = 394.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1184, ["jmenovatel"] = 3 }, ["render"] = "\\frac{1184}{3}", ["typ"] = "cislo" }, ["tex"] = "394\\frac{2}{3}", ["x"] = 394, ["y"] = 2, ["z"] = 3 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.59", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "13 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "13 + 8 + 16", ["typ"] = "plus" }, ["render"] = "(13 + 8 + 16)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 2\\frac{2}{3}", ["typ"] = "krat" }, ["render"] = "(13 + 8 + 16) \\cdot 4 \\cdot 2\\frac{2}{3}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.6, bodu=100, $$\frac{-10}{2\frac{2}{6} + 12} - (-7 + 1\frac{3}{10}) \cdot -13=\textcolor{white}{-74\frac{343}{430}}$$return { ["body"] = 100, ["id"] = "SSoUIN_0211_1341", ["obtiznost"] = 1, ["reseni"] = { ["float"] = -74.797674418605, ["objekt"] = { ["hodnota"] = { ["citatel"] = -32163, ["jmenovatel"] = 430 }, ["render"] = "\\frac{-32163}{430}", ["typ"] = "cislo" }, ["tex"] = "-74\\frac{343}{430}", ["x"] = -74, ["y"] = 343, ["z"] = 430 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{6} + 12", ["typ"] = "plus" }, ["render"] = "\\frac{-10}{2\\frac{2}{6} + 12}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "-7 + 1\\frac{3}{10}", ["typ"] = "plus" }, ["render"] = "(-7 + 1\\frac{3}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "(-7 + 1\\frac{3}{10}) \\cdot -13", ["typ"] = "krat" }, ["render"] = "\\frac{-10}{2\\frac{2}{6} + 12} - (-7 + 1\\frac{3}{10}) \\cdot -13", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.61, bodu=112, $$-13 + (2\frac{4}{6} + \frac{6}{-12})^2 - \frac{1\frac{3}{7}}{15}=\textcolor{white}{-8\frac{101}{252}}$$return { ["body"] = 112, ["id"] = "dyFKMO_0211_1341", ["obtiznost"] = 1.092, ["reseni"] = { ["float"] = -8.4007936507937, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2117, ["jmenovatel"] = 252 }, ["render"] = "\\frac{-6351}{756}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{101}{252}", ["x"] = -8, ["y"] = 101, ["z"] = 252 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-12}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{4}{6} + \\frac{6}{-12}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(2\\frac{4}{6} + \\frac{6}{-12})^2", ["typ"] = "mocnina" }, ["render"] = "-13 + (2\\frac{4}{6} + \\frac{6}{-12})^2", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{7}}{15}", ["typ"] = "lomeno" }, ["render"] = "-13 + (2\\frac{4}{6} + \\frac{6}{-12})^2 - \\frac{1\\frac{3}{7}}{15}", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.62, bodu=191, $$(-7 - 3\frac{2}{4})^2 - (1\frac{3}{8} - 3\frac{2}{6}) \cdot (1\frac{5}{8} - 6)=\textcolor{white}{101\frac{131}{192}}$$return { ["body"] = 191, ["id"] = "JrOOFL_0211_1341", ["obtiznost"] = 1.598, ["reseni"] = { ["float"] = 101.68229166667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19523, ["jmenovatel"] = 192 }, ["render"] = "\\frac{78092}{768}", ["typ"] = "cislo" }, ["tex"] = "101\\frac{131}{192}", ["x"] = 101, ["y"] = 131, ["z"] = 192 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.62", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "-7 - 3\\frac{2}{4}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-7 - 3\\frac{2}{4})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} - 3\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "(1\\frac{3}{8} - 3\\frac{2}{6})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} - 6", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{8} - 6)", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{3}{8} - 3\\frac{2}{6}) \\cdot (1\\frac{5}{8} - 6)", ["typ"] = "krat" }, ["render"] = "(-7 - 3\\frac{2}{4})^2 - (1\\frac{3}{8} - 3\\frac{2}{6}) \\cdot (1\\frac{5}{8} - 6)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.63, bodu=104, $$1\frac{4}{6} \cdot 7 \cdot -14 \cdot (-12 + 3\frac{3}{8})=\textcolor{white}{1408{,}75}$$return { ["body"] = 104, ["id"] = "5ST6Qj_0211_1341", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = 1408.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5635, ["jmenovatel"] = 4 }, ["render"] = "\\frac{33810}{24}", ["typ"] = "cislo" }, ["tex"] = "1408\\frac{3}{4}", ["tex_float"] = "1408{,}75", ["x"] = 1408, ["y"] = 3, ["z"] = 4 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{6} \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{6} \\cdot 7 \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "-12 + 3\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "(-12 + 3\\frac{3}{8})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{4}{6} \\cdot 7 \\cdot -14 \\cdot (-12 + 3\\frac{3}{8})", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.64, bodu=86, $$(\frac{3\frac{3}{10}}{6} + 17) \cdot (\frac{-7}{-10})^2=\textcolor{white}{8\frac{1199}{2000}}$$return { ["body"] = 86, ["id"] = "KWyjv6_0211_1341", ["obtiznost"] = 0.8996, ["reseni"] = { ["float"] = 8.5995, ["objekt"] = { ["hodnota"] = { ["citatel"] = 17199, ["jmenovatel"] = 2000 }, ["render"] = "\\frac{17199}{2000}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{1199}{2000}", ["x"] = 8, ["y"] = 1199, ["z"] = 2000 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.64", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{10}}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{10}}{6} + 17", ["typ"] = "plus" }, ["render"] = "(\\frac{3\\frac{3}{10}}{6} + 17)", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{-10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-7}{-10})^2", ["typ"] = "mocnina" }, ["render"] = "(\\frac{3\\frac{3}{10}}{6} + 17) \\cdot (\\frac{-7}{-10})^2", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.65, bodu=135, $$\frac{\frac{3\frac{2}{8}}{4\frac{5}{7}}}{\frac{2\frac{2}{6}}{-7 \cdot 13}}=\textcolor{white}{-26\frac{39}{44}}$$return { ["body"] = 135, ["id"] = "jbPvj4_0211_1341", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = -26.886363636364, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1183, ["jmenovatel"] = 44 }, ["render"] = "\\frac{3549}{-132}", ["typ"] = "cislo" }, ["tex"] = "-26\\frac{39}{44}", ["x"] = -26, ["y"] = 39, ["z"] = 44 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{8}}{4\\frac{5}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot 13", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{2}{6}}{-7 \\cdot 13}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{3\\frac{2}{8}}{4\\frac{5}{7}}}{\\frac{2\\frac{2}{6}}{-7 \\cdot 13}}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.66, bodu=81, $$(\frac{1\frac{2}{5}}{12} - 8) \cdot 6 - (-8)=\textcolor{white}{-39{,}3}$$return { ["body"] = 81, ["id"] = "cCzHhA_0211_1341", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = -39.3, ["objekt"] = { ["hodnota"] = { ["citatel"] = -393, ["jmenovatel"] = 10 }, ["render"] = "\\frac{-393}{10}", ["typ"] = "cislo" }, ["tex"] = "-39\\frac{3}{10}", ["tex_float"] = "-39{,}3", ["x"] = -39, ["y"] = 3, ["z"] = 10 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{5}}{12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{5}}{12} - 8", ["typ"] = "minus" }, ["render"] = "(\\frac{1\\frac{2}{5}}{12} - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(\\frac{1\\frac{2}{5}}{12} - 8) \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "(\\frac{1\\frac{2}{5}}{12} - 8) \\cdot 6 - (-8)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.67, bodu=109, $$\frac{2\frac{2}{6}}{-14 \cdot -11} \cdot \frac{14}{3\frac{4}{9}}=\textcolor{white}{\frac{21}{341}}$$return { ["body"] = 109, ["id"] = "gYoEUv_0211_1341", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = 0.06158357771261, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 341 }, ["render"] = "\\frac{126}{2046}", ["typ"] = "cislo" }, ["tex"] = "\\frac{21}{341}", ["y"] = 21, ["z"] = 341 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -11", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{2}{6}}{-14 \\cdot -11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{3\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{2}{6}}{-14 \\cdot -11} \\cdot \\frac{14}{3\\frac{4}{9}}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.68, bodu=84, $$(\frac{-3}{-13} - 7) \cdot (4\frac{3}{8} - (-12) - 13)=\textcolor{white}{-22\frac{11}{13}}$$return { ["body"] = 84, ["id"] = "n3pceR_0211_1341", ["obtiznost"] = 0.88, ["reseni"] = { ["float"] = -22.846153846154, ["objekt"] = { ["hodnota"] = { ["citatel"] = -297, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-2376}{104}", ["typ"] = "cislo" }, ["tex"] = "-22\\frac{11}{13}", ["x"] = -22, ["y"] = 11, ["z"] = 13 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.68", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-3}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-3}{-13} - 7", ["typ"] = "minus" }, ["render"] = "(\\frac{-3}{-13} - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{8} - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{8} - (-12) - 13", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{8} - (-12) - 13)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{-3}{-13} - 7) \\cdot (4\\frac{3}{8} - (-12) - 13)", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.69, bodu=141, $$(-8 \cdot 3\frac{3}{6} - 4\frac{3}{11}) \cdot \frac{17}{2\frac{3}{5}}=\textcolor{white}{-211\frac{2}{143}}$$return { ["body"] = 141, ["id"] = "LardXC_0211_1341", ["obtiznost"] = 1.29, ["reseni"] = { ["float"] = -211.01398601399, ["objekt"] = { ["hodnota"] = { ["citatel"] = -30175, ["jmenovatel"] = 143 }, ["render"] = "\\frac{-30175}{143}", ["typ"] = "cislo" }, ["tex"] = "-211\\frac{2}{143}", ["x"] = -211, ["y"] = 2, ["z"] = 143 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.69", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 3\\frac{3}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 3\\frac{3}{6} - 4\\frac{3}{11}", ["typ"] = "minus" }, ["render"] = "(-8 \\cdot 3\\frac{3}{6} - 4\\frac{3}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{2\\frac{3}{5}}", ["typ"] = "lomeno" }, ["render"] = "(-8 \\cdot 3\\frac{3}{6} - 4\\frac{3}{11}) \\cdot \\frac{17}{2\\frac{3}{5}}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.7, bodu=143, $$3\frac{1}{7} \cdot \frac{12 \cdot 19}{2\frac{5}{11} \cdot 3\frac{4}{12}}=\textcolor{white}{87\frac{61}{105}}$$return { ["body"] = 143, ["id"] = "Nx50gF_0211_1341", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = 87.580952380952, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9196, ["jmenovatel"] = 105 }, ["render"] = "\\frac{9196}{105}", ["typ"] = "cislo" }, ["tex"] = "87\\frac{61}{105}", ["x"] = 87, ["y"] = 61, ["z"] = 105 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.7", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 19", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{11} \\cdot 3\\frac{4}{12}", ["typ"] = "krat" }, ["render"] = "\\frac{12 \\cdot 19}{2\\frac{5}{11} \\cdot 3\\frac{4}{12}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{7} \\cdot \\frac{12 \\cdot 19}{2\\frac{5}{11} \\cdot 3\\frac{4}{12}}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.71, bodu=144, $$1\frac{5}{13} + 2\frac{1}{7} - 8 \cdot 8 \cdot (2\frac{1}{7} - (-18))=\textcolor{white}{-1285\frac{8}{13}}$$return { ["body"] = 144, ["id"] = "BFPQKJ_0211_1341", ["obtiznost"] = 1.31, ["reseni"] = { ["float"] = -1285.6153846154, ["objekt"] = { ["hodnota"] = { ["citatel"] = -16713, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-818937}{637}", ["typ"] = "cislo" }, ["tex"] = "-1285\\frac{8}{13}", ["x"] = -1285, ["y"] = 8, ["z"] = 13 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{13} + 2\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{7} - (-18)", ["typ"] = "minus" }, ["render"] = "(2\\frac{1}{7} - (-18))", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot 8 \\cdot (2\\frac{1}{7} - (-18))", ["typ"] = "krat" }, ["render"] = "1\\frac{5}{13} + 2\\frac{1}{7} - 8 \\cdot 8 \\cdot (2\\frac{1}{7} - (-18))", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.72, bodu=89, $$16 \cdot 2\frac{3}{7} - \frac{7 \cdot -7}{-17}=\textcolor{white}{35\frac{116}{119}}$$return { ["body"] = 89, ["id"] = "GdbBD3_0211_1341", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = 35.974789915966, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4281, ["jmenovatel"] = 119 }, ["render"] = "\\frac{4281}{119}", ["typ"] = "cislo" }, ["tex"] = "35\\frac{116}{119}", ["x"] = 35, ["y"] = 116, ["z"] = 119 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "16 \\cdot 2\\frac{3}{7}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{7 \\cdot -7}{-17}", ["typ"] = "lomeno" }, ["render"] = "16 \\cdot 2\\frac{3}{7} - \\frac{7 \\cdot -7}{-17}", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.73, bodu=118, $$-17 + (-14) - 12 - (-12) + 3\frac{4}{12} \cdot 2\frac{2}{10}=\textcolor{white}{-23\frac{2}{3}}$$return { ["body"] = 118, ["id"] = "O4OObH_0211_1341", ["obtiznost"] = 1.13, ["reseni"] = { ["float"] = -23.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -71, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-71}{3}", ["typ"] = "cislo" }, ["tex"] = "-23\\frac{2}{3}", ["x"] = -23, ["y"] = 2, ["z"] = 3 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-17 + (-14)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-17 + (-14) - 12", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-17 + (-14) - 12 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{12} \\cdot 2\\frac{2}{10}", ["typ"] = "krat" }, ["render"] = "-17 + (-14) - 12 - (-12) + 3\\frac{4}{12} \\cdot 2\\frac{2}{10}", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.74, bodu=92, $$3\frac{2}{8} \cdot \frac{-4}{-14} \cdot (19 + 16)=\textcolor{white}{32{,}5}$$return { ["body"] = 92, ["id"] = "VwhHLR_0211_1341", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = 32.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 65, ["jmenovatel"] = 2 }, ["render"] = "\\frac{455}{14}", ["typ"] = "cislo" }, ["tex"] = "32\\frac{1}{2}", ["tex_float"] = "32{,}5", ["x"] = 32, ["y"] = 1, ["z"] = 2 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{-4}{-14}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{2}{8} \\cdot \\frac{-4}{-14}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "19 + 16", ["typ"] = "plus" }, ["render"] = "(19 + 16)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{2}{8} \\cdot \\frac{-4}{-14} \\cdot (19 + 16)", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.75, bodu=93, $$(7 - 6)^2 \cdot (1\frac{4}{7} - (-12) - (-15 \cdot 11))=\textcolor{white}{178\frac{4}{7}}$$return { ["body"] = 93, ["id"] = "G48klZ_0211_1341", ["obtiznost"] = 0.9508, ["reseni"] = { ["float"] = 178.57142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1250, ["jmenovatel"] = 7 }, ["render"] = "\\frac{1250}{7}", ["typ"] = "cislo" }, ["tex"] = "178\\frac{4}{7}", ["x"] = 178, ["y"] = 4, ["z"] = 7 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.75", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 - 6", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(7 - 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} - (-12)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 11", ["typ"] = "krat" }, ["render"] = "1\\frac{4}{7} - (-12) - (-15 \\cdot 11)", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{7} - (-12) - (-15 \\cdot 11))", ["typ"] = "zavorka" }, ["render"] = "(7 - 6)^2 \\cdot (1\\frac{4}{7} - (-12) - (-15 \\cdot 11))", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.76, bodu=122, $$\frac{15}{4\frac{3}{7}} + (-19 - 2\frac{2}{9} + (-13 - 16))=\textcolor{white}{-46\frac{233}{279}}$$return { ["body"] = 122, ["id"] = "oPhKB2_0211_1341", ["obtiznost"] = 1.16, ["reseni"] = { ["float"] = -46.835125448029, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13067, ["jmenovatel"] = 279 }, ["render"] = "\\frac{-13067}{279}", ["typ"] = "cislo" }, ["tex"] = "-46\\frac{233}{279}", ["x"] = -46, ["y"] = 233, ["z"] = 279 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{4\\frac{3}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["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"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "-13 - 16", ["typ"] = "minus" }, ["render"] = "-19 - 2\\frac{2}{9} + (-13 - 16)", ["typ"] = "plus" }, ["render"] = "\\frac{15}{4\\frac{3}{7}} + (-19 - 2\\frac{2}{9} + (-13 - 16))", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.77, bodu=187, $$\frac{(4\frac{3}{6} + 3\frac{5}{10}) \cdot 3\frac{3}{9} \cdot 3\frac{3}{13}}{13}=\textcolor{white}{6\frac{106}{169}}$$return { ["body"] = 187, ["id"] = "hkrTAH_0211_1341", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = 6.6272189349112, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1120, ["jmenovatel"] = 169 }, ["render"] = "\\frac{1120}{169}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{106}{169}", ["x"] = 6, ["y"] = 106, ["z"] = 169 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} + 3\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "(4\\frac{3}{6} + 3\\frac{5}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} \\cdot 3\\frac{3}{13}", ["typ"] = "krat" }, ["render"] = "(4\\frac{3}{6} + 3\\frac{5}{10}) \\cdot 3\\frac{3}{9} \\cdot 3\\frac{3}{13}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{(4\\frac{3}{6} + 3\\frac{5}{10}) \\cdot 3\\frac{3}{9} \\cdot 3\\frac{3}{13}}{13}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.78, bodu=155, $$\frac{1\frac{5}{12} - 3\frac{4}{10}}{14} \cdot \frac{-8}{2\frac{1}{6}}=\textcolor{white}{\frac{34}{65}}$$return { ["body"] = 155, ["id"] = "2iCOWP_0211_1341", ["obtiznost"] = 1.38, ["reseni"] = { ["float"] = 0.52307692307692, ["objekt"] = { ["hodnota"] = { ["citatel"] = 34, ["jmenovatel"] = 65 }, ["render"] = "\\frac{816}{1560}", ["typ"] = "cislo" }, ["tex"] = "\\frac{34}{65}", ["y"] = 34, ["z"] = 65 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{12} - 3\\frac{4}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{12} - 3\\frac{4}{10}}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{2\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{5}{12} - 3\\frac{4}{10}}{14} \\cdot \\frac{-8}{2\\frac{1}{6}}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.79, bodu=127, $$\frac{\frac{-11 - 6}{1\frac{4}{9} - 2\frac{1}{9}}}{(-12 - (-10))^3}=\textcolor{white}{-3\frac{3}{16}}$$return { ["body"] = 127, ["id"] = "z4jD3N_0211_1341", ["obtiznost"] = 1.1936, ["reseni"] = { ["float"] = -3.1875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -51, ["jmenovatel"] = 16 }, ["render"] = "\\frac{51}{-16}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{3}{16}", ["x"] = -3, ["y"] = 3, ["z"] = 16 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-11 - 6", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} - 2\\frac{1}{9}", ["typ"] = "minus" }, ["render"] = "\\frac{-11 - 6}{1\\frac{4}{9} - 2\\frac{1}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(-12 - (-10))^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{-11 - 6}{1\\frac{4}{9} - 2\\frac{1}{9}}}{(-12 - (-10))^3}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.8, bodu=128, $$\frac{3\frac{3}{9} \cdot -8}{-15} - (12 + 2\frac{3}{13} + 10 + 14)=\textcolor{white}{-36\frac{53}{117}}$$return { ["body"] = 128, ["id"] = "di8ukK_0211_1341", ["obtiznost"] = 1.2, ["reseni"] = { ["float"] = -36.452991452991, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4265, ["jmenovatel"] = 117 }, ["render"] = "\\frac{-4265}{117}", ["typ"] = "cislo" }, ["tex"] = "-36\\frac{53}{117}", ["x"] = -36, ["y"] = 53, ["z"] = 117 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{9} \\cdot -8}{-15}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{3}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{13} + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{13} + 10 + 14", ["typ"] = "plus" }, ["render"] = "12 + 2\\frac{3}{13} + 10 + 14", ["typ"] = "plus" }, ["render"] = "(12 + 2\\frac{3}{13} + 10 + 14)", ["typ"] = "zavorka" }, ["render"] = "\\frac{3\\frac{3}{9} \\cdot -8}{-15} - (12 + 2\\frac{3}{13} + 10 + 14)", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.81, bodu=130, $$\frac{-17}{-7} \cdot (-10 - 1\frac{4}{10}) - (\frac{10}{2\frac{5}{10}})^2=\textcolor{white}{-43\frac{24}{35}}$$return { ["body"] = 130, ["id"] = "9I5ETH_0211_1341", ["obtiznost"] = 1.2168, ["reseni"] = { ["float"] = -43.685714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1529, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-1529}{35}", ["typ"] = "cislo" }, ["tex"] = "-43\\frac{24}{35}", ["x"] = -43, ["y"] = 24, ["z"] = 35 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-17}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "-10 - 1\\frac{4}{10}", ["typ"] = "minus" }, ["render"] = "(-10 - 1\\frac{4}{10})", ["typ"] = "zavorka" }, ["render"] = "\\frac{-17}{-7} \\cdot (-10 - 1\\frac{4}{10})", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{2\\frac{5}{10}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{10}{2\\frac{5}{10}})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-17}{-7} \\cdot (-10 - 1\\frac{4}{10}) - (\\frac{10}{2\\frac{5}{10}})^2", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.82, bodu=171, $$(\frac{14}{4\frac{2}{8} + (-13)})^3 - (-8 + 9 + (-15 - 4\frac{2}{6}))=\textcolor{white}{14\frac{89}{375}}$$return { ["body"] = 171, ["id"] = "X3hUlA_0211_1341", ["obtiznost"] = 1.4748, ["reseni"] = { ["float"] = 14.237333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5339, ["jmenovatel"] = 375 }, ["render"] = "\\frac{5339}{375}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{89}{375}", ["x"] = 14, ["y"] = 89, ["z"] = 375 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.82", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} + (-13)", ["typ"] = "plus" }, ["render"] = "\\frac{14}{4\\frac{2}{8} + (-13)}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{14}{4\\frac{2}{8} + (-13)})^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-8 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-15 - 4\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "-8 + 9 + (-15 - 4\\frac{2}{6})", ["typ"] = "plus" }, ["render"] = "(-8 + 9 + (-15 - 4\\frac{2}{6}))", ["typ"] = "zavorka" }, ["render"] = "(\\frac{14}{4\\frac{2}{8} + (-13)})^3 - (-8 + 9 + (-15 - 4\\frac{2}{6}))", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.83, bodu=39, $$-10 \cdot -15 \cdot 15 \cdot (-12 - (11 - (-5)))=\textcolor{white}{-63000}$$return { ["body"] = 39, ["id"] = "400W6C_0211_1341", ["obtiznost"] = 0.83, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -63000, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-63000}{1}", ["typ"] = "cislo" }, ["tex"] = "-63000", ["tex_float"] = "-63000", ["x"] = -63000 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 15", ["typ"] = "krat" }, ["render"] = "-10 \\cdot -15 \\cdot 15", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "11 - (-5)", ["typ"] = "minus" }, ["render"] = "(11 - (-5))", ["typ"] = "zavorka" }, ["render"] = "-12 - (11 - (-5))", ["typ"] = "minus" }, ["render"] = "(-12 - (11 - (-5)))", ["typ"] = "zavorka" }, ["render"] = "-10 \\cdot -15 \\cdot 15 \\cdot (-12 - (11 - (-5)))", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.84, bodu=105, $$\frac{3\frac{3}{9}}{-12} \cdot (-9 - 16) + (-12 - 7)=\textcolor{white}{-12\frac{1}{18}}$$return { ["body"] = 105, ["id"] = "WLIjrw_0211_1341", ["obtiznost"] = 1.04, ["reseni"] = { ["float"] = -12.055555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -217, ["jmenovatel"] = 18 }, ["render"] = "\\frac{-217}{18}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{1}{18}", ["x"] = -12, ["y"] = 1, ["z"] = 18 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{9}}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "-9 - 16", ["typ"] = "minus" }, ["render"] = "(-9 - 16)", ["typ"] = "zavorka" }, ["render"] = "\\frac{3\\frac{3}{9}}{-12} \\cdot (-9 - 16)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-12 - 7", ["typ"] = "minus" }, ["render"] = "\\frac{3\\frac{3}{9}}{-12} \\cdot (-9 - 16) + (-12 - 7)", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.85, bodu=236, $$\frac{2\frac{4}{8}}{1\frac{5}{9} \cdot 4\frac{5}{14}} + 1\frac{3}{5} + 4\frac{3}{11} \cdot -16=\textcolor{white}{-66\frac{2649}{6710}}$$return { ["body"] = 236, ["id"] = "BW0R8A_0211_1341", ["obtiznost"] = 1.85, ["reseni"] = { ["float"] = -66.39478390462, ["objekt"] = { ["hodnota"] = { ["citatel"] = -445509, ["jmenovatel"] = 6710 }, ["render"] = "\\frac{-445509}{6710}", ["typ"] = "cislo" }, ["tex"] = "-66\\frac{2649}{6710}", ["x"] = -66, ["y"] = 2649, ["z"] = 6710 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 61, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} \\cdot 4\\frac{5}{14}", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{4}{8}}{1\\frac{5}{9} \\cdot 4\\frac{5}{14}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{8}}{1\\frac{5}{9} \\cdot 4\\frac{5}{14}} + 1\\frac{3}{5}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{11} \\cdot -16", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{4}{8}}{1\\frac{5}{9} \\cdot 4\\frac{5}{14}} + 1\\frac{3}{5} + 4\\frac{3}{11} \\cdot -16", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.86, bodu=170, $$1\frac{1}{6} \cdot 3\frac{5}{11} - \frac{2\frac{3}{6} - 12}{(16 - 19)^3}=\textcolor{white}{3\frac{403}{594}}$$return { ["body"] = 170, ["id"] = "WmMOky_0211_1341", ["obtiznost"] = 1.4712, ["reseni"] = { ["float"] = 3.6784511784512, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2185, ["jmenovatel"] = 594 }, ["render"] = "\\frac{6555}{1782}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{403}{594}", ["x"] = 3, ["y"] = 403, ["z"] = 594 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{6} \\cdot 3\\frac{5}{11}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{6} - 12", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "16 - 19", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(16 - 19)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{2\\frac{3}{6} - 12}{(16 - 19)^3}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{6} \\cdot 3\\frac{5}{11} - \\frac{2\\frac{3}{6} - 12}{(16 - 19)^3}", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.87, bodu=172, $$2\frac{1}{8} \cdot (2\frac{4}{13} - (\frac{1\frac{3}{9} + (-8)}{\frac{-16}{-12}})^2)=\textcolor{white}{-48\frac{23}{104}}$$return { ["body"] = 172, ["id"] = "aEdt6u_0211_1341", ["obtiznost"] = 1.4804, ["reseni"] = { ["float"] = -48.221153846154, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5015, ["jmenovatel"] = 104 }, ["render"] = "\\frac{-5015}{104}", ["typ"] = "cislo" }, ["tex"] = "-48\\frac{23}{104}", ["x"] = -48, ["y"] = 23, ["z"] = 104 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.87", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{9} + (-8)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{-12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}})^2", ["typ"] = "mocnina" }, ["render"] = "2\\frac{4}{13} - (\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}})^2", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{13} - (\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}})^2)", ["typ"] = "zavorka" }, ["render"] = "2\\frac{1}{8} \\cdot (2\\frac{4}{13} - (\\frac{1\\frac{3}{9} + (-8)}{\\frac{-16}{-12}})^2)", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.88, bodu=205, $$\frac{4\frac{2}{4}}{-14} - 2\frac{3}{7} + 4\frac{2}{11} \cdot -7 - 4\frac{2}{10}=\textcolor{white}{-36\frac{49}{220}}$$return { ["body"] = 205, ["id"] = "zj1hAt_0211_1341", ["obtiznost"] = 1.68, ["reseni"] = { ["float"] = -36.222727272727, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7969, ["jmenovatel"] = 220 }, ["render"] = "\\frac{-7969}{220}", ["typ"] = "cislo" }, ["tex"] = "-36\\frac{49}{220}", ["x"] = -36, ["y"] = 49, ["z"] = 220 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{4}}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{4}}{-14} - 2\\frac{3}{7}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{11} \\cdot -7", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{2}{4}}{-14} - 2\\frac{3}{7} + 4\\frac{2}{11} \\cdot -7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{4}}{-14} - 2\\frac{3}{7} + 4\\frac{2}{11} \\cdot -7 - 4\\frac{2}{10}", ["typ"] = "minus" } }

seed: jUl38SecKie0VXtF4zsE_0.89, bodu=173, $$3\frac{2}{6} \cdot (4\frac{4}{15} + (-6)) + (4\frac{5}{10} + 14) \cdot -11 + 15=\textcolor{white}{-194\frac{5}{18}}$$return { ["body"] = 173, ["id"] = "XCsqDT_0211_1341", ["obtiznost"] = 1.49, ["reseni"] = { ["float"] = -194.27777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3497, ["jmenovatel"] = 18 }, ["render"] = "\\frac{-3497}{18}", ["typ"] = "cislo" }, ["tex"] = "-194\\frac{5}{18}", ["x"] = -194, ["y"] = 5, ["z"] = 18 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 64, ["jmenovatel"] = 15 }, ["render"] = "4\\frac{4}{15}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{15} + (-6)", ["typ"] = "plus" }, ["render"] = "(4\\frac{4}{15} + (-6))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{2}{6} \\cdot (4\\frac{4}{15} + (-6))", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{10} + 14", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{10} + 14)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "(4\\frac{5}{10} + 14) \\cdot -11", ["typ"] = "krat" }, ["render"] = "3\\frac{2}{6} \\cdot (4\\frac{4}{15} + (-6)) + (4\\frac{5}{10} + 14) \\cdot -11", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{6} \\cdot (4\\frac{4}{15} + (-6)) + (4\\frac{5}{10} + 14) \\cdot -11 + 15", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.9, bodu=143, $$\frac{\frac{2\frac{3}{6}}{19}}{16 - 3\frac{1}{7}} - 19 + (-22)=\textcolor{white}{-40\frac{677}{684}}$$return { ["body"] = 143, ["id"] = "0kfU6J_0211_1341", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = -40.989766081871, ["objekt"] = { ["hodnota"] = { ["citatel"] = -28037, ["jmenovatel"] = 684 }, ["render"] = "\\frac{-28037}{684}", ["typ"] = "cislo" }, ["tex"] = "-40\\frac{677}{684}", ["x"] = -40, ["y"] = 677, ["z"] = 684 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{6}}{19}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "16 - 3\\frac{1}{7}", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{2\\frac{3}{6}}{19}}{16 - 3\\frac{1}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{3}{6}}{19}}{16 - 3\\frac{1}{7}} - 19", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{3}{6}}{19}}{16 - 3\\frac{1}{7}} - 19 + (-22)", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.91, bodu=194, $$(-11 - (-7))^4 + 14 - 1\frac{2}{8} + (-8 + 4\frac{3}{9} - (-11 + 4\frac{4}{11}))=\textcolor{white}{271\frac{95}{132}}$$return { ["body"] = 194, ["id"] = "UpgXTI_0211_1341", ["obtiznost"] = 1.6128, ["reseni"] = { ["float"] = 271.7196969697, ["objekt"] = { ["hodnota"] = { ["citatel"] = 35867, ["jmenovatel"] = 132 }, ["render"] = "\\frac{35867}{132}", ["typ"] = "cislo" }, ["tex"] = "271\\frac{95}{132}", ["x"] = 271, ["y"] = 95, ["z"] = 132 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-11 - (-7)", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(-11 - (-7))^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "14 - 1\\frac{2}{8}", ["typ"] = "minus" }, ["render"] = "(-11 - (-7))^4 + 14 - 1\\frac{2}{8}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "-11 + 4\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "(-11 + 4\\frac{4}{11})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{9} - (-11 + 4\\frac{4}{11})", ["typ"] = "minus" }, ["render"] = "-8 + 4\\frac{3}{9} - (-11 + 4\\frac{4}{11})", ["typ"] = "plus" }, ["render"] = "(-11 - (-7))^4 + 14 - 1\\frac{2}{8} + (-8 + 4\\frac{3}{9} - (-11 + 4\\frac{4}{11}))", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.92, bodu=213, $$2\frac{4}{6} + 7 + 1\frac{5}{9} - (-13) - (4\frac{4}{7} - 2\frac{2}{6} + 3 + 20)=\textcolor{white}{-1\frac{1}{63}}$$return { ["body"] = 213, ["id"] = "CI6MIf_0211_1341", ["obtiznost"] = 1.72, ["reseni"] = { ["float"] = -1.015873015873, ["objekt"] = { ["hodnota"] = { ["citatel"] = -64, ["jmenovatel"] = 63 }, ["render"] = "\\frac{-192}{189}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{1}{63}", ["x"] = -1, ["y"] = 1, ["z"] = 63 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.92", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "7 + 1\\frac{5}{9}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "7 + 1\\frac{5}{9} - (-13)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{7} - 2\\frac{2}{6}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "3 + 20", ["typ"] = "plus" }, ["render"] = "4\\frac{4}{7} - 2\\frac{2}{6} + 3 + 20", ["typ"] = "plus" }, ["render"] = "(4\\frac{4}{7} - 2\\frac{2}{6} + 3 + 20)", ["typ"] = "zavorka" }, ["render"] = "7 + 1\\frac{5}{9} - (-13) - (4\\frac{4}{7} - 2\\frac{2}{6} + 3 + 20)", ["typ"] = "minus" }, ["render"] = "2\\frac{4}{6} + 7 + 1\\frac{5}{9} - (-13) - (4\\frac{4}{7} - 2\\frac{2}{6} + 3 + 20)", ["typ"] = "plus" } }

seed: jUl38SecKie0VXtF4zsE_0.93, bodu=148, $$4\frac{3}{9} \cdot 3\frac{2}{9} \cdot (-21 + (-10 \cdot 13 + 9))=\textcolor{white}{-1982\frac{20}{27}}$$return { ["body"] = 148, ["id"] = "Yrl5t1_0211_1341", ["obtiznost"] = 1.33, ["reseni"] = { ["float"] = -1982.7407407407, ["objekt"] = { ["hodnota"] = { ["citatel"] = -53534, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-53534}{27}", ["typ"] = "cislo" }, ["tex"] = "-1982\\frac{20}{27}", ["x"] = -1982, ["y"] = 20, ["z"] = 27 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{9} \\cdot 3\\frac{2}{9}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 13 + 9", ["typ"] = "plus" }, ["render"] = "-21 + (-10 \\cdot 13 + 9)", ["typ"] = "plus" }, ["render"] = "(-21 + (-10 \\cdot 13 + 9))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{9} \\cdot 3\\frac{2}{9} \\cdot (-21 + (-10 \\cdot 13 + 9))", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.94, bodu=149, $$\frac{17 - 25 \cdot 1\frac{1}{3} + \frac{1\frac{1}{9}}{15}}{18}=\textcolor{white}{-\frac{439}{486}}$$return { ["body"] = 149, ["id"] = "2p0XAP_0211_1341", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = -0.90329218106996, ["objekt"] = { ["hodnota"] = { ["citatel"] = -439, ["jmenovatel"] = 486 }, ["render"] = "\\frac{-439}{486}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{439}{486}", ["y"] = -439, ["z"] = 486 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 1 }, ["render"] = "25", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "25 \\cdot 1\\frac{1}{3}", ["typ"] = "krat" }, ["render"] = "17 - 25 \\cdot 1\\frac{1}{3}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{9}}{15}", ["typ"] = "lomeno" }, ["render"] = "17 - 25 \\cdot 1\\frac{1}{3} + \\frac{1\\frac{1}{9}}{15}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{17 - 25 \\cdot 1\\frac{1}{3} + \\frac{1\\frac{1}{9}}{15}}{18}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.95, bodu=218, $$\frac{\frac{1\frac{1}{8}}{2\frac{5}{17} + (-18)}}{\frac{3\frac{1}{10} \cdot -15}{3\frac{4}{9}}}=\textcolor{white}{\frac{17}{3204}}$$return { ["body"] = 218, ["id"] = "4lXGPj_0211_1341", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = 0.0053058676654182, ["objekt"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 3204 }, ["render"] = "\\frac{-102}{-19224}", ["typ"] = "cislo" }, ["tex"] = "\\frac{17}{3204}", ["y"] = 17, ["z"] = 3204 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 39, ["jmenovatel"] = 17 }, ["render"] = "2\\frac{5}{17}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{17} + (-18)", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{1}{8}}{2\\frac{5}{17} + (-18)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{10} \\cdot -15", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{10} \\cdot -15}{3\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{1\\frac{1}{8}}{2\\frac{5}{17} + (-18)}}{\\frac{3\\frac{1}{10} \\cdot -15}{3\\frac{4}{9}}}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.96, bodu=220, $$1\frac{2}{8} \cdot 1\frac{4}{10} \cdot 17 \cdot 2\frac{3}{11} \cdot 1\frac{5}{12}=\textcolor{white}{95\frac{415}{528}}$$return { ["body"] = 220, ["id"] = "mX4RUR_0211_1341", ["obtiznost"] = 1.76, ["reseni"] = { ["float"] = 95.785984848485, ["objekt"] = { ["hodnota"] = { ["citatel"] = 50575, ["jmenovatel"] = 528 }, ["render"] = "\\frac{50575}{528}", ["typ"] = "cislo" }, ["tex"] = "95\\frac{415}{528}", ["x"] = 95, ["y"] = 415, ["z"] = 528 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.96", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} \\cdot 17", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{11} \\cdot 1\\frac{5}{12}", ["typ"] = "krat" }, ["render"] = "1\\frac{4}{10} \\cdot 17 \\cdot 2\\frac{3}{11} \\cdot 1\\frac{5}{12}", ["typ"] = "krat" }, ["render"] = "1\\frac{2}{8} \\cdot 1\\frac{4}{10} \\cdot 17 \\cdot 2\\frac{3}{11} \\cdot 1\\frac{5}{12}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.97, bodu=180, $$\frac{-19}{-11 + 7} \cdot \frac{3\frac{5}{11}}{(15 - (-15))^2}=\textcolor{white}{\frac{361}{19800}}$$return { ["body"] = 180, ["id"] = "bOpdUT_0211_1341", ["obtiznost"] = 1.5304, ["reseni"] = { ["float"] = 0.018232323232323, ["objekt"] = { ["hodnota"] = { ["citatel"] = 361, ["jmenovatel"] = 19800 }, ["render"] = "\\frac{361}{19800}", ["typ"] = "cislo" }, ["tex"] = "\\frac{361}{19800}", ["y"] = 361, ["z"] = 19800 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-11 + 7", ["typ"] = "plus" }, ["render"] = "\\frac{-19}{-11 + 7}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "15 - (-15)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(15 - (-15))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{3\\frac{5}{11}}{(15 - (-15))^2}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-19}{-11 + 7} \\cdot \\frac{3\\frac{5}{11}}{(15 - (-15))^2}", ["typ"] = "krat" } }

seed: jUl38SecKie0VXtF4zsE_0.98, bodu=228, $$\frac{\frac{4\frac{3}{13}}{(17 - 9)^2} \cdot 2\frac{4}{13}}{4\frac{3}{7} - 4\frac{4}{5}}=\textcolor{white}{-\frac{28875}{70304}}$$return { ["body"] = 228, ["id"] = "pECuLA_0211_1341", ["obtiznost"] = 1.806, ["reseni"] = { ["float"] = -0.41071631770596, ["objekt"] = { ["hodnota"] = { ["citatel"] = -28875, ["jmenovatel"] = 70304 }, ["render"] = "\\frac{28875}{-70304}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{28875}{70304}", ["y"] = -28875, ["z"] = 70304 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 55, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{3}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "17 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(17 - 9)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{4\\frac{3}{13}}{(17 - 9)^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{4}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{13}}{(17 - 9)^2} \\cdot 2\\frac{4}{13}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} - 4\\frac{4}{5}", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{4\\frac{3}{13}}{(17 - 9)^2} \\cdot 2\\frac{4}{13}}{4\\frac{3}{7} - 4\\frac{4}{5}}", ["typ"] = "lomeno" } }

seed: jUl38SecKie0VXtF4zsE_0.99, bodu=225, $$3\frac{3}{9} - (-13) - 3\frac{5}{9} - \frac{17 - 1\frac{2}{7}}{2\frac{5}{12}}=\textcolor{white}{6\frac{503}{1827}}$$return { ["body"] = 225, ["id"] = "PXtSKi_0211_1341", ["obtiznost"] = 1.79, ["reseni"] = { ["float"] = 6.2753147235906, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11465, ["jmenovatel"] = 1827 }, ["render"] = "\\frac{11465}{1827}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{503}{1827}", ["x"] = 6, ["y"] = 503, ["z"] = 1827 }, ["seed"] = "jUl38SecKie0VXtF4zsE_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} - (-13)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} - (-13) - 3\\frac{5}{9}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "17 - 1\\frac{2}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{17 - 1\\frac{2}{7}}{2\\frac{5}{12}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{3}{9} - (-13) - 3\\frac{5}{9} - \\frac{17 - 1\\frac{2}{7}}{2\\frac{5}{12}}", ["typ"] = "minus" } }

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